- FindStat

Identifier
Mp00114: Permutations —connectivity set⟶ Binary words
St000326: Binary words ⟶ ℤ
Values
=>
                            
                            
                            
                            
                            
                            

                        [1,2]=>1=>1
[2,1]=>0=>2
[1,2,3]=>11=>1
[1,3,2]=>10=>1
[2,1,3]=>01=>2
[2,3,1]=>00=>3
[3,1,2]=>00=>3
[3,2,1]=>00=>3
[1,2,3,4]=>111=>1
[1,2,4,3]=>110=>1
[1,3,2,4]=>101=>1
[1,3,4,2]=>100=>1
[1,4,2,3]=>100=>1
[1,4,3,2]=>100=>1
[2,1,3,4]=>011=>2
[2,1,4,3]=>010=>2
[2,3,1,4]=>001=>3
[2,3,4,1]=>000=>4
[2,4,1,3]=>000=>4
[2,4,3,1]=>000=>4
[3,1,2,4]=>001=>3
[3,1,4,2]=>000=>4
[3,2,1,4]=>001=>3
[3,2,4,1]=>000=>4
[3,4,1,2]=>000=>4
[3,4,2,1]=>000=>4
[4,1,2,3]=>000=>4
[4,1,3,2]=>000=>4
[4,2,1,3]=>000=>4
[4,2,3,1]=>000=>4
[4,3,1,2]=>000=>4
[4,3,2,1]=>000=>4
[1,2,3,4,5]=>1111=>1
[1,2,3,5,4]=>1110=>1
[1,2,4,3,5]=>1101=>1
[1,2,4,5,3]=>1100=>1
[1,2,5,3,4]=>1100=>1
[1,2,5,4,3]=>1100=>1
[1,3,2,4,5]=>1011=>1
[1,3,2,5,4]=>1010=>1
[1,3,4,2,5]=>1001=>1
[1,3,4,5,2]=>1000=>1
[1,3,5,2,4]=>1000=>1
[1,3,5,4,2]=>1000=>1
[1,4,2,3,5]=>1001=>1
[1,4,2,5,3]=>1000=>1
[1,4,3,2,5]=>1001=>1
[1,4,3,5,2]=>1000=>1
[1,4,5,2,3]=>1000=>1
[1,4,5,3,2]=>1000=>1
[1,5,2,3,4]=>1000=>1
[1,5,2,4,3]=>1000=>1
[1,5,3,2,4]=>1000=>1
[1,5,3,4,2]=>1000=>1
[1,5,4,2,3]=>1000=>1
[1,5,4,3,2]=>1000=>1
[2,1,3,4,5]=>0111=>2
[2,1,3,5,4]=>0110=>2
[2,1,4,3,5]=>0101=>2
[2,1,4,5,3]=>0100=>2
[2,1,5,3,4]=>0100=>2
[2,1,5,4,3]=>0100=>2
[2,3,1,4,5]=>0011=>3
[2,3,1,5,4]=>0010=>3
[2,3,4,1,5]=>0001=>4
[2,3,4,5,1]=>0000=>5
[2,3,5,1,4]=>0000=>5
[2,3,5,4,1]=>0000=>5
[2,4,1,3,5]=>0001=>4
[2,4,1,5,3]=>0000=>5
[2,4,3,1,5]=>0001=>4
[2,4,3,5,1]=>0000=>5
[2,4,5,1,3]=>0000=>5
[2,4,5,3,1]=>0000=>5
[2,5,1,3,4]=>0000=>5
[2,5,1,4,3]=>0000=>5
[2,5,3,1,4]=>0000=>5
[2,5,3,4,1]=>0000=>5
[2,5,4,1,3]=>0000=>5
[2,5,4,3,1]=>0000=>5
[3,1,2,4,5]=>0011=>3
[3,1,2,5,4]=>0010=>3
[3,1,4,2,5]=>0001=>4
[3,1,4,5,2]=>0000=>5
[3,1,5,2,4]=>0000=>5
[3,1,5,4,2]=>0000=>5
[3,2,1,4,5]=>0011=>3
[3,2,1,5,4]=>0010=>3
[3,2,4,1,5]=>0001=>4
[3,2,4,5,1]=>0000=>5
[3,2,5,1,4]=>0000=>5
[3,2,5,4,1]=>0000=>5
[3,4,1,2,5]=>0001=>4
[3,4,1,5,2]=>0000=>5
[3,4,2,1,5]=>0001=>4
[3,4,2,5,1]=>0000=>5
[3,4,5,1,2]=>0000=>5
[3,4,5,2,1]=>0000=>5
[3,5,1,2,4]=>0000=>5
[3,5,1,4,2]=>0000=>5
[3,5,2,1,4]=>0000=>5
[3,5,2,4,1]=>0000=>5
[3,5,4,1,2]=>0000=>5
[3,5,4,2,1]=>0000=>5
[4,1,2,3,5]=>0001=>4
[4,1,2,5,3]=>0000=>5
[4,1,3,2,5]=>0001=>4
[4,1,3,5,2]=>0000=>5
[4,1,5,2,3]=>0000=>5
[4,1,5,3,2]=>0000=>5
[4,2,1,3,5]=>0001=>4
[4,2,1,5,3]=>0000=>5
[4,2,3,1,5]=>0001=>4
[4,2,3,5,1]=>0000=>5
[4,2,5,1,3]=>0000=>5
[4,2,5,3,1]=>0000=>5
[4,3,1,2,5]=>0001=>4
[4,3,1,5,2]=>0000=>5
[4,3,2,1,5]=>0001=>4
[4,3,2,5,1]=>0000=>5
[4,3,5,1,2]=>0000=>5
[4,3,5,2,1]=>0000=>5
[4,5,1,2,3]=>0000=>5
[4,5,1,3,2]=>0000=>5
[4,5,2,1,3]=>0000=>5
[4,5,2,3,1]=>0000=>5
[4,5,3,1,2]=>0000=>5
[4,5,3,2,1]=>0000=>5
[5,1,2,3,4]=>0000=>5
[5,1,2,4,3]=>0000=>5
[5,1,3,2,4]=>0000=>5
[5,1,3,4,2]=>0000=>5
[5,1,4,2,3]=>0000=>5
[5,1,4,3,2]=>0000=>5
[5,2,1,3,4]=>0000=>5
[5,2,1,4,3]=>0000=>5
[5,2,3,1,4]=>0000=>5
[5,2,3,4,1]=>0000=>5
[5,2,4,1,3]=>0000=>5
[5,2,4,3,1]=>0000=>5
[5,3,1,2,4]=>0000=>5
[5,3,1,4,2]=>0000=>5
[5,3,2,1,4]=>0000=>5
[5,3,2,4,1]=>0000=>5
[5,3,4,1,2]=>0000=>5
[5,3,4,2,1]=>0000=>5
[5,4,1,2,3]=>0000=>5
[5,4,1,3,2]=>0000=>5
[5,4,2,1,3]=>0000=>5
[5,4,2,3,1]=>0000=>5
[5,4,3,1,2]=>0000=>5
[5,4,3,2,1]=>0000=>5
[1,2,3,4,5,6]=>11111=>1
[1,2,3,4,6,5]=>11110=>1
[1,2,3,5,4,6]=>11101=>1
[1,2,3,5,6,4]=>11100=>1
[1,2,3,6,4,5]=>11100=>1
[1,2,3,6,5,4]=>11100=>1
[1,2,4,3,5,6]=>11011=>1
[1,2,4,3,6,5]=>11010=>1
[1,2,4,5,3,6]=>11001=>1
[1,2,4,5,6,3]=>11000=>1
[1,2,4,6,3,5]=>11000=>1
[1,2,4,6,5,3]=>11000=>1
[1,2,5,3,4,6]=>11001=>1
[1,2,5,3,6,4]=>11000=>1
[1,2,5,4,3,6]=>11001=>1
[1,2,5,4,6,3]=>11000=>1
[1,2,5,6,3,4]=>11000=>1
[1,2,5,6,4,3]=>11000=>1
[1,2,6,3,4,5]=>11000=>1
[1,2,6,3,5,4]=>11000=>1
[1,2,6,4,3,5]=>11000=>1
[1,2,6,4,5,3]=>11000=>1
[1,2,6,5,3,4]=>11000=>1
[1,2,6,5,4,3]=>11000=>1
[1,3,2,4,5,6]=>10111=>1
[1,3,2,4,6,5]=>10110=>1
[1,3,2,5,4,6]=>10101=>1
[1,3,2,5,6,4]=>10100=>1
[1,3,2,6,4,5]=>10100=>1
[1,3,2,6,5,4]=>10100=>1
[1,3,4,2,5,6]=>10011=>1
[1,3,4,2,6,5]=>10010=>1
[1,3,4,5,2,6]=>10001=>1
[1,3,4,5,6,2]=>10000=>1
[1,3,4,6,2,5]=>10000=>1
[1,3,4,6,5,2]=>10000=>1
[1,3,5,2,4,6]=>10001=>1
[1,3,5,2,6,4]=>10000=>1
[1,3,5,4,2,6]=>10001=>1
[1,3,5,4,6,2]=>10000=>1
[1,3,5,6,2,4]=>10000=>1
[1,3,5,6,4,2]=>10000=>1
[1,3,6,2,4,5]=>10000=>1
[1,3,6,2,5,4]=>10000=>1
[1,3,6,4,2,5]=>10000=>1
[1,3,6,4,5,2]=>10000=>1
[1,3,6,5,2,4]=>10000=>1
[1,3,6,5,4,2]=>10000=>1
[1,4,2,3,5,6]=>10011=>1
[1,4,2,3,6,5]=>10010=>1
[1,4,2,5,3,6]=>10001=>1
[1,4,2,5,6,3]=>10000=>1
[1,4,2,6,3,5]=>10000=>1
[1,4,2,6,5,3]=>10000=>1
[1,4,3,2,5,6]=>10011=>1
[1,4,3,2,6,5]=>10010=>1
[1,4,3,5,2,6]=>10001=>1
[1,4,3,5,6,2]=>10000=>1
[1,4,3,6,2,5]=>10000=>1
[1,4,3,6,5,2]=>10000=>1
[1,4,5,2,3,6]=>10001=>1
[1,4,5,2,6,3]=>10000=>1
[1,4,5,3,2,6]=>10001=>1
[1,4,5,3,6,2]=>10000=>1
[1,4,5,6,2,3]=>10000=>1
[1,4,5,6,3,2]=>10000=>1
[1,4,6,2,3,5]=>10000=>1
[1,4,6,2,5,3]=>10000=>1
[1,4,6,3,2,5]=>10000=>1
[1,4,6,3,5,2]=>10000=>1
[1,4,6,5,2,3]=>10000=>1
[1,4,6,5,3,2]=>10000=>1
[1,5,2,3,4,6]=>10001=>1
[1,5,2,3,6,4]=>10000=>1
[1,5,2,4,3,6]=>10001=>1
[1,5,2,4,6,3]=>10000=>1
[1,5,2,6,3,4]=>10000=>1
[1,5,2,6,4,3]=>10000=>1
[1,5,3,2,4,6]=>10001=>1
[1,5,3,2,6,4]=>10000=>1
[1,5,3,4,2,6]=>10001=>1
[1,5,3,4,6,2]=>10000=>1
[1,5,3,6,2,4]=>10000=>1
[1,5,3,6,4,2]=>10000=>1
[1,5,4,2,3,6]=>10001=>1
[1,5,4,2,6,3]=>10000=>1
[1,5,4,3,2,6]=>10001=>1
[1,5,4,3,6,2]=>10000=>1
[1,5,4,6,2,3]=>10000=>1
[1,5,4,6,3,2]=>10000=>1
[1,5,6,2,3,4]=>10000=>1
[1,5,6,2,4,3]=>10000=>1
[1,5,6,3,2,4]=>10000=>1
[1,5,6,3,4,2]=>10000=>1
[1,5,6,4,2,3]=>10000=>1
[1,5,6,4,3,2]=>10000=>1
[1,6,2,3,4,5]=>10000=>1
[1,6,2,3,5,4]=>10000=>1
[1,6,2,4,3,5]=>10000=>1
[1,6,2,4,5,3]=>10000=>1
[1,6,2,5,3,4]=>10000=>1
[1,6,2,5,4,3]=>10000=>1
[1,6,3,2,4,5]=>10000=>1
[1,6,3,2,5,4]=>10000=>1
[1,6,3,4,2,5]=>10000=>1
[1,6,3,4,5,2]=>10000=>1
[1,6,3,5,2,4]=>10000=>1
[1,6,3,5,4,2]=>10000=>1
[1,6,4,2,3,5]=>10000=>1
[1,6,4,2,5,3]=>10000=>1
[1,6,4,3,2,5]=>10000=>1
[1,6,4,3,5,2]=>10000=>1
[1,6,4,5,2,3]=>10000=>1
[1,6,4,5,3,2]=>10000=>1
[1,6,5,2,3,4]=>10000=>1
[1,6,5,2,4,3]=>10000=>1
[1,6,5,3,2,4]=>10000=>1
[1,6,5,3,4,2]=>10000=>1
[1,6,5,4,2,3]=>10000=>1
[1,6,5,4,3,2]=>10000=>1
[2,1,3,4,5,6]=>01111=>2
[2,1,3,4,6,5]=>01110=>2
[2,1,3,5,4,6]=>01101=>2
[2,1,3,5,6,4]=>01100=>2
[2,1,3,6,4,5]=>01100=>2
[2,1,3,6,5,4]=>01100=>2
[2,1,4,3,5,6]=>01011=>2
[2,1,4,3,6,5]=>01010=>2
[2,1,4,5,3,6]=>01001=>2
[2,1,4,5,6,3]=>01000=>2
[2,1,4,6,3,5]=>01000=>2
[2,1,4,6,5,3]=>01000=>2
[2,1,5,3,4,6]=>01001=>2
[2,1,5,3,6,4]=>01000=>2
[2,1,5,4,3,6]=>01001=>2
[2,1,5,4,6,3]=>01000=>2
[2,1,5,6,3,4]=>01000=>2
[2,1,5,6,4,3]=>01000=>2
[2,1,6,3,4,5]=>01000=>2
[2,1,6,3,5,4]=>01000=>2
[2,1,6,4,3,5]=>01000=>2
[2,1,6,4,5,3]=>01000=>2
[2,1,6,5,3,4]=>01000=>2
[2,1,6,5,4,3]=>01000=>2
[2,3,1,4,5,6]=>00111=>3
[2,3,1,4,6,5]=>00110=>3
[2,3,1,5,4,6]=>00101=>3
[2,3,1,5,6,4]=>00100=>3
[2,3,1,6,4,5]=>00100=>3
[2,3,1,6,5,4]=>00100=>3
[2,3,4,1,5,6]=>00011=>4
[2,3,4,1,6,5]=>00010=>4
[2,3,4,5,1,6]=>00001=>5
[2,3,4,5,6,1]=>00000=>6
[2,3,4,6,1,5]=>00000=>6
[2,3,4,6,5,1]=>00000=>6
[2,3,5,1,4,6]=>00001=>5
[2,3,5,1,6,4]=>00000=>6
[2,3,5,4,1,6]=>00001=>5
[2,3,5,4,6,1]=>00000=>6
[2,3,5,6,1,4]=>00000=>6
[2,3,5,6,4,1]=>00000=>6
[2,3,6,1,4,5]=>00000=>6
[2,3,6,1,5,4]=>00000=>6
[2,3,6,4,1,5]=>00000=>6
[2,3,6,4,5,1]=>00000=>6
[2,3,6,5,1,4]=>00000=>6
[2,3,6,5,4,1]=>00000=>6
[2,4,1,3,5,6]=>00011=>4
[2,4,1,3,6,5]=>00010=>4
[2,4,1,5,3,6]=>00001=>5
[2,4,1,5,6,3]=>00000=>6
[2,4,1,6,3,5]=>00000=>6
[2,4,1,6,5,3]=>00000=>6
[2,4,3,1,5,6]=>00011=>4
[2,4,3,1,6,5]=>00010=>4
[2,4,3,5,1,6]=>00001=>5
[2,4,3,5,6,1]=>00000=>6
[2,4,3,6,1,5]=>00000=>6
[2,4,3,6,5,1]=>00000=>6
[2,4,5,1,3,6]=>00001=>5
[2,4,5,1,6,3]=>00000=>6
[2,4,5,3,1,6]=>00001=>5
[2,4,5,3,6,1]=>00000=>6
[2,4,5,6,1,3]=>00000=>6
[2,4,5,6,3,1]=>00000=>6
[2,4,6,1,3,5]=>00000=>6
[2,4,6,1,5,3]=>00000=>6
[2,4,6,3,1,5]=>00000=>6
[2,4,6,3,5,1]=>00000=>6
[2,4,6,5,1,3]=>00000=>6
[2,4,6,5,3,1]=>00000=>6
[2,5,1,3,4,6]=>00001=>5
[2,5,1,3,6,4]=>00000=>6
[2,5,1,4,3,6]=>00001=>5
[2,5,1,4,6,3]=>00000=>6
[2,5,1,6,3,4]=>00000=>6
[2,5,1,6,4,3]=>00000=>6
[2,5,3,1,4,6]=>00001=>5
[2,5,3,1,6,4]=>00000=>6
[2,5,3,4,1,6]=>00001=>5
[2,5,3,4,6,1]=>00000=>6
[2,5,3,6,1,4]=>00000=>6
[2,5,3,6,4,1]=>00000=>6
[2,5,4,1,3,6]=>00001=>5
[2,5,4,1,6,3]=>00000=>6
[2,5,4,3,1,6]=>00001=>5
[2,5,4,3,6,1]=>00000=>6
[2,5,4,6,1,3]=>00000=>6
[2,5,4,6,3,1]=>00000=>6
[2,5,6,1,3,4]=>00000=>6
[2,5,6,1,4,3]=>00000=>6
[2,5,6,3,1,4]=>00000=>6
[2,5,6,3,4,1]=>00000=>6
[2,5,6,4,1,3]=>00000=>6
[2,5,6,4,3,1]=>00000=>6
[2,6,1,3,4,5]=>00000=>6
[2,6,1,3,5,4]=>00000=>6
[2,6,1,4,3,5]=>00000=>6
[2,6,1,4,5,3]=>00000=>6
[2,6,1,5,3,4]=>00000=>6
[2,6,1,5,4,3]=>00000=>6
[2,6,3,1,4,5]=>00000=>6
[2,6,3,1,5,4]=>00000=>6
[2,6,3,4,1,5]=>00000=>6
[2,6,3,4,5,1]=>00000=>6
[2,6,3,5,1,4]=>00000=>6
[2,6,3,5,4,1]=>00000=>6
[2,6,4,1,3,5]=>00000=>6
[2,6,4,1,5,3]=>00000=>6
[2,6,4,3,1,5]=>00000=>6
[2,6,4,3,5,1]=>00000=>6
[2,6,4,5,1,3]=>00000=>6
[2,6,4,5,3,1]=>00000=>6
[2,6,5,1,3,4]=>00000=>6
[2,6,5,1,4,3]=>00000=>6
[2,6,5,3,1,4]=>00000=>6
[2,6,5,3,4,1]=>00000=>6
[2,6,5,4,1,3]=>00000=>6
[2,6,5,4,3,1]=>00000=>6
[3,1,2,4,5,6]=>00111=>3
[3,1,2,4,6,5]=>00110=>3
[3,1,2,5,4,6]=>00101=>3
[3,1,2,5,6,4]=>00100=>3
[3,1,2,6,4,5]=>00100=>3
[3,1,2,6,5,4]=>00100=>3
[3,1,4,2,5,6]=>00011=>4
[3,1,4,2,6,5]=>00010=>4
[3,1,4,5,2,6]=>00001=>5
[3,1,4,5,6,2]=>00000=>6
[3,1,4,6,2,5]=>00000=>6
[3,1,4,6,5,2]=>00000=>6
[3,1,5,2,4,6]=>00001=>5
[3,1,5,2,6,4]=>00000=>6
[3,1,5,4,2,6]=>00001=>5
[3,1,5,4,6,2]=>00000=>6
[3,1,5,6,2,4]=>00000=>6
[3,1,5,6,4,2]=>00000=>6
[3,1,6,2,4,5]=>00000=>6
[3,1,6,2,5,4]=>00000=>6
[3,1,6,4,2,5]=>00000=>6
[3,1,6,4,5,2]=>00000=>6
[3,1,6,5,2,4]=>00000=>6
[3,1,6,5,4,2]=>00000=>6
[3,2,1,4,5,6]=>00111=>3
[3,2,1,4,6,5]=>00110=>3
[3,2,1,5,4,6]=>00101=>3
[3,2,1,5,6,4]=>00100=>3
[3,2,1,6,4,5]=>00100=>3
[3,2,1,6,5,4]=>00100=>3
[3,2,4,1,5,6]=>00011=>4
[3,2,4,1,6,5]=>00010=>4
[3,2,4,5,1,6]=>00001=>5
[3,2,4,5,6,1]=>00000=>6
[3,2,4,6,1,5]=>00000=>6
[3,2,4,6,5,1]=>00000=>6
[3,2,5,1,4,6]=>00001=>5
[3,2,5,1,6,4]=>00000=>6
[3,2,5,4,1,6]=>00001=>5
[3,2,5,4,6,1]=>00000=>6
[3,2,5,6,1,4]=>00000=>6
[3,2,5,6,4,1]=>00000=>6
[3,2,6,1,4,5]=>00000=>6
[3,2,6,1,5,4]=>00000=>6
[3,2,6,4,1,5]=>00000=>6
[3,2,6,4,5,1]=>00000=>6
[3,2,6,5,1,4]=>00000=>6
[3,2,6,5,4,1]=>00000=>6
[3,4,1,2,5,6]=>00011=>4
[3,4,1,2,6,5]=>00010=>4
[3,4,1,5,2,6]=>00001=>5
[3,4,1,5,6,2]=>00000=>6
[3,4,1,6,2,5]=>00000=>6
[3,4,1,6,5,2]=>00000=>6
[3,4,2,1,5,6]=>00011=>4
[3,4,2,1,6,5]=>00010=>4
[3,4,2,5,1,6]=>00001=>5
[3,4,2,5,6,1]=>00000=>6
[3,4,2,6,1,5]=>00000=>6
[3,4,2,6,5,1]=>00000=>6
[3,4,5,1,2,6]=>00001=>5
[3,4,5,1,6,2]=>00000=>6
[3,4,5,2,1,6]=>00001=>5
[3,4,5,2,6,1]=>00000=>6
[3,4,5,6,1,2]=>00000=>6
[3,4,5,6,2,1]=>00000=>6
[3,4,6,1,2,5]=>00000=>6
[3,4,6,1,5,2]=>00000=>6
[3,4,6,2,1,5]=>00000=>6
[3,4,6,2,5,1]=>00000=>6
[3,4,6,5,1,2]=>00000=>6
[3,4,6,5,2,1]=>00000=>6
[3,5,1,2,4,6]=>00001=>5
[3,5,1,2,6,4]=>00000=>6
[3,5,1,4,2,6]=>00001=>5
[3,5,1,4,6,2]=>00000=>6
[3,5,1,6,2,4]=>00000=>6
[3,5,1,6,4,2]=>00000=>6
[3,5,2,1,4,6]=>00001=>5
[3,5,2,1,6,4]=>00000=>6
[3,5,2,4,1,6]=>00001=>5
[3,5,2,4,6,1]=>00000=>6
[3,5,2,6,1,4]=>00000=>6
[3,5,2,6,4,1]=>00000=>6
[3,5,4,1,2,6]=>00001=>5
[3,5,4,1,6,2]=>00000=>6
[3,5,4,2,1,6]=>00001=>5
[3,5,4,2,6,1]=>00000=>6
[3,5,4,6,1,2]=>00000=>6
[3,5,4,6,2,1]=>00000=>6
[3,5,6,1,2,4]=>00000=>6
[3,5,6,1,4,2]=>00000=>6
[3,5,6,2,1,4]=>00000=>6
[3,5,6,2,4,1]=>00000=>6
[3,5,6,4,1,2]=>00000=>6
[3,5,6,4,2,1]=>00000=>6
[3,6,1,2,4,5]=>00000=>6
[3,6,1,2,5,4]=>00000=>6
[3,6,1,4,2,5]=>00000=>6
[3,6,1,4,5,2]=>00000=>6
[3,6,1,5,2,4]=>00000=>6
[3,6,1,5,4,2]=>00000=>6
[3,6,2,1,4,5]=>00000=>6
[3,6,2,1,5,4]=>00000=>6
[3,6,2,4,1,5]=>00000=>6
[3,6,2,4,5,1]=>00000=>6
[3,6,2,5,1,4]=>00000=>6
[3,6,2,5,4,1]=>00000=>6
[3,6,4,1,2,5]=>00000=>6
[3,6,4,1,5,2]=>00000=>6
[3,6,4,2,1,5]=>00000=>6
[3,6,4,2,5,1]=>00000=>6
[3,6,4,5,1,2]=>00000=>6
[3,6,4,5,2,1]=>00000=>6
[3,6,5,1,2,4]=>00000=>6
[3,6,5,1,4,2]=>00000=>6
[3,6,5,2,1,4]=>00000=>6
[3,6,5,2,4,1]=>00000=>6
[3,6,5,4,1,2]=>00000=>6
[3,6,5,4,2,1]=>00000=>6
[4,1,2,3,5,6]=>00011=>4
[4,1,2,3,6,5]=>00010=>4
[4,1,2,5,3,6]=>00001=>5
[4,1,2,5,6,3]=>00000=>6
[4,1,2,6,3,5]=>00000=>6
[4,1,2,6,5,3]=>00000=>6
[4,1,3,2,5,6]=>00011=>4
[4,1,3,2,6,5]=>00010=>4
[4,1,3,5,2,6]=>00001=>5
[4,1,3,5,6,2]=>00000=>6
[4,1,3,6,2,5]=>00000=>6
[4,1,3,6,5,2]=>00000=>6
[4,1,5,2,3,6]=>00001=>5
[4,1,5,2,6,3]=>00000=>6
[4,1,5,3,2,6]=>00001=>5
[4,1,5,3,6,2]=>00000=>6
[4,1,5,6,2,3]=>00000=>6
[4,1,5,6,3,2]=>00000=>6
[4,1,6,2,3,5]=>00000=>6
[4,1,6,2,5,3]=>00000=>6
[4,1,6,3,2,5]=>00000=>6
[4,1,6,3,5,2]=>00000=>6
[4,1,6,5,2,3]=>00000=>6
[4,1,6,5,3,2]=>00000=>6
[4,2,1,3,5,6]=>00011=>4
[4,2,1,3,6,5]=>00010=>4
[4,2,1,5,3,6]=>00001=>5
[4,2,1,5,6,3]=>00000=>6
[4,2,1,6,3,5]=>00000=>6
[4,2,1,6,5,3]=>00000=>6
[4,2,3,1,5,6]=>00011=>4
[4,2,3,1,6,5]=>00010=>4
[4,2,3,5,1,6]=>00001=>5
[4,2,3,5,6,1]=>00000=>6
[4,2,3,6,1,5]=>00000=>6
[4,2,3,6,5,1]=>00000=>6
[4,2,5,1,3,6]=>00001=>5
[4,2,5,1,6,3]=>00000=>6
[4,2,5,3,1,6]=>00001=>5
[4,2,5,3,6,1]=>00000=>6
[4,2,5,6,1,3]=>00000=>6
[4,2,5,6,3,1]=>00000=>6
[4,2,6,1,3,5]=>00000=>6
[4,2,6,1,5,3]=>00000=>6
[4,2,6,3,1,5]=>00000=>6
[4,2,6,3,5,1]=>00000=>6
[4,2,6,5,1,3]=>00000=>6
[4,2,6,5,3,1]=>00000=>6
[4,3,1,2,5,6]=>00011=>4
[4,3,1,2,6,5]=>00010=>4
[4,3,1,5,2,6]=>00001=>5
[4,3,1,5,6,2]=>00000=>6
[4,3,1,6,2,5]=>00000=>6
[4,3,1,6,5,2]=>00000=>6
[4,3,2,1,5,6]=>00011=>4
[4,3,2,1,6,5]=>00010=>4
[4,3,2,5,1,6]=>00001=>5
[4,3,2,5,6,1]=>00000=>6
[4,3,2,6,1,5]=>00000=>6
[4,3,2,6,5,1]=>00000=>6
[4,3,5,1,2,6]=>00001=>5
[4,3,5,1,6,2]=>00000=>6
[4,3,5,2,1,6]=>00001=>5
[4,3,5,2,6,1]=>00000=>6
[4,3,5,6,1,2]=>00000=>6
[4,3,5,6,2,1]=>00000=>6
[4,3,6,1,2,5]=>00000=>6
[4,3,6,1,5,2]=>00000=>6
[4,3,6,2,1,5]=>00000=>6
[4,3,6,2,5,1]=>00000=>6
[4,3,6,5,1,2]=>00000=>6
[4,3,6,5,2,1]=>00000=>6
[4,5,1,2,3,6]=>00001=>5
[4,5,1,2,6,3]=>00000=>6
[4,5,1,3,2,6]=>00001=>5
[4,5,1,3,6,2]=>00000=>6
[4,5,1,6,2,3]=>00000=>6
[4,5,1,6,3,2]=>00000=>6
[4,5,2,1,3,6]=>00001=>5
[4,5,2,1,6,3]=>00000=>6
[4,5,2,3,1,6]=>00001=>5
[4,5,2,3,6,1]=>00000=>6
[4,5,2,6,1,3]=>00000=>6
[4,5,2,6,3,1]=>00000=>6
[4,5,3,1,2,6]=>00001=>5
[4,5,3,1,6,2]=>00000=>6
[4,5,3,2,1,6]=>00001=>5
[4,5,3,2,6,1]=>00000=>6
[4,5,3,6,1,2]=>00000=>6
[4,5,3,6,2,1]=>00000=>6
[4,5,6,1,2,3]=>00000=>6
[4,5,6,1,3,2]=>00000=>6
[4,5,6,2,1,3]=>00000=>6
[4,5,6,2,3,1]=>00000=>6
[4,5,6,3,1,2]=>00000=>6
[4,5,6,3,2,1]=>00000=>6
[4,6,1,2,3,5]=>00000=>6
[4,6,1,2,5,3]=>00000=>6
[4,6,1,3,2,5]=>00000=>6
[4,6,1,3,5,2]=>00000=>6
[4,6,1,5,2,3]=>00000=>6
[4,6,1,5,3,2]=>00000=>6
[4,6,2,1,3,5]=>00000=>6
[4,6,2,1,5,3]=>00000=>6
[4,6,2,3,1,5]=>00000=>6
[4,6,2,3,5,1]=>00000=>6
[4,6,2,5,1,3]=>00000=>6
[4,6,2,5,3,1]=>00000=>6
[4,6,3,1,2,5]=>00000=>6
[4,6,3,1,5,2]=>00000=>6
[4,6,3,2,1,5]=>00000=>6
[4,6,3,2,5,1]=>00000=>6
[4,6,3,5,1,2]=>00000=>6
[4,6,3,5,2,1]=>00000=>6
[4,6,5,1,2,3]=>00000=>6
[4,6,5,1,3,2]=>00000=>6
[4,6,5,2,1,3]=>00000=>6
[4,6,5,2,3,1]=>00000=>6
[4,6,5,3,1,2]=>00000=>6
[4,6,5,3,2,1]=>00000=>6
[5,1,2,3,4,6]=>00001=>5
[5,1,2,3,6,4]=>00000=>6
[5,1,2,4,3,6]=>00001=>5
[5,1,2,4,6,3]=>00000=>6
[5,1,2,6,3,4]=>00000=>6
[5,1,2,6,4,3]=>00000=>6
[5,1,3,2,4,6]=>00001=>5
[5,1,3,2,6,4]=>00000=>6
[5,1,3,4,2,6]=>00001=>5
[5,1,3,4,6,2]=>00000=>6
[5,1,3,6,2,4]=>00000=>6
[5,1,3,6,4,2]=>00000=>6
[5,1,4,2,3,6]=>00001=>5
[5,1,4,2,6,3]=>00000=>6
[5,1,4,3,2,6]=>00001=>5
[5,1,4,3,6,2]=>00000=>6
[5,1,4,6,2,3]=>00000=>6
[5,1,4,6,3,2]=>00000=>6
[5,1,6,2,3,4]=>00000=>6
[5,1,6,2,4,3]=>00000=>6
[5,1,6,3,2,4]=>00000=>6
[5,1,6,3,4,2]=>00000=>6
[5,1,6,4,2,3]=>00000=>6
[5,1,6,4,3,2]=>00000=>6
[5,2,1,3,4,6]=>00001=>5
[5,2,1,3,6,4]=>00000=>6
[5,2,1,4,3,6]=>00001=>5
[5,2,1,4,6,3]=>00000=>6
[5,2,1,6,3,4]=>00000=>6
[5,2,1,6,4,3]=>00000=>6
[5,2,3,1,4,6]=>00001=>5
[5,2,3,1,6,4]=>00000=>6
[5,2,3,4,1,6]=>00001=>5
[5,2,3,4,6,1]=>00000=>6
[5,2,3,6,1,4]=>00000=>6
[5,2,3,6,4,1]=>00000=>6
[5,2,4,1,3,6]=>00001=>5
[5,2,4,1,6,3]=>00000=>6
[5,2,4,3,1,6]=>00001=>5
[5,2,4,3,6,1]=>00000=>6
[5,2,4,6,1,3]=>00000=>6
[5,2,4,6,3,1]=>00000=>6
[5,2,6,1,3,4]=>00000=>6
[5,2,6,1,4,3]=>00000=>6
[5,2,6,3,1,4]=>00000=>6
[5,2,6,3,4,1]=>00000=>6
[5,2,6,4,1,3]=>00000=>6
[5,2,6,4,3,1]=>00000=>6
[5,3,1,2,4,6]=>00001=>5
[5,3,1,2,6,4]=>00000=>6
[5,3,1,4,2,6]=>00001=>5
[5,3,1,4,6,2]=>00000=>6
[5,3,1,6,2,4]=>00000=>6
[5,3,1,6,4,2]=>00000=>6
[5,3,2,1,4,6]=>00001=>5
[5,3,2,1,6,4]=>00000=>6
[5,3,2,4,1,6]=>00001=>5
[5,3,2,4,6,1]=>00000=>6
[5,3,2,6,1,4]=>00000=>6
[5,3,2,6,4,1]=>00000=>6
[5,3,4,1,2,6]=>00001=>5
[5,3,4,1,6,2]=>00000=>6
[5,3,4,2,1,6]=>00001=>5
[5,3,4,2,6,1]=>00000=>6
[5,3,4,6,1,2]=>00000=>6
[5,3,4,6,2,1]=>00000=>6
[5,3,6,1,2,4]=>00000=>6
[5,3,6,1,4,2]=>00000=>6
[5,3,6,2,1,4]=>00000=>6
[5,3,6,2,4,1]=>00000=>6
[5,3,6,4,1,2]=>00000=>6
[5,3,6,4,2,1]=>00000=>6
[5,4,1,2,3,6]=>00001=>5
[5,4,1,2,6,3]=>00000=>6
[5,4,1,3,2,6]=>00001=>5
[5,4,1,3,6,2]=>00000=>6
[5,4,1,6,2,3]=>00000=>6
[5,4,1,6,3,2]=>00000=>6
[5,4,2,1,3,6]=>00001=>5
[5,4,2,1,6,3]=>00000=>6
[5,4,2,3,1,6]=>00001=>5
[5,4,2,3,6,1]=>00000=>6
[5,4,2,6,1,3]=>00000=>6
[5,4,2,6,3,1]=>00000=>6
[5,4,3,1,2,6]=>00001=>5
[5,4,3,1,6,2]=>00000=>6
[5,4,3,2,1,6]=>00001=>5
[5,4,3,2,6,1]=>00000=>6
[5,4,3,6,1,2]=>00000=>6
[5,4,3,6,2,1]=>00000=>6
[5,4,6,1,2,3]=>00000=>6
[5,4,6,1,3,2]=>00000=>6
[5,4,6,2,1,3]=>00000=>6
[5,4,6,2,3,1]=>00000=>6
[5,4,6,3,1,2]=>00000=>6
[5,4,6,3,2,1]=>00000=>6
[5,6,1,2,3,4]=>00000=>6
[5,6,1,2,4,3]=>00000=>6
[5,6,1,3,2,4]=>00000=>6
[5,6,1,3,4,2]=>00000=>6
[5,6,1,4,2,3]=>00000=>6
[5,6,1,4,3,2]=>00000=>6
[5,6,2,1,3,4]=>00000=>6
[5,6,2,1,4,3]=>00000=>6
[5,6,2,3,1,4]=>00000=>6
[5,6,2,3,4,1]=>00000=>6
[5,6,2,4,1,3]=>00000=>6
[5,6,2,4,3,1]=>00000=>6
[5,6,3,1,2,4]=>00000=>6
[5,6,3,1,4,2]=>00000=>6
[5,6,3,2,1,4]=>00000=>6
[5,6,3,2,4,1]=>00000=>6
[5,6,3,4,1,2]=>00000=>6
[5,6,3,4,2,1]=>00000=>6
[5,6,4,1,2,3]=>00000=>6
[5,6,4,1,3,2]=>00000=>6
[5,6,4,2,1,3]=>00000=>6
[5,6,4,2,3,1]=>00000=>6
[5,6,4,3,1,2]=>00000=>6
[5,6,4,3,2,1]=>00000=>6
[6,1,2,3,4,5]=>00000=>6
[6,1,2,3,5,4]=>00000=>6
[6,1,2,4,3,5]=>00000=>6
[6,1,2,4,5,3]=>00000=>6
[6,1,2,5,3,4]=>00000=>6
[6,1,2,5,4,3]=>00000=>6
[6,1,3,2,4,5]=>00000=>6
[6,1,3,2,5,4]=>00000=>6
[6,1,3,4,2,5]=>00000=>6
[6,1,3,4,5,2]=>00000=>6
[6,1,3,5,2,4]=>00000=>6
[6,1,3,5,4,2]=>00000=>6
[6,1,4,2,3,5]=>00000=>6
[6,1,4,2,5,3]=>00000=>6
[6,1,4,3,2,5]=>00000=>6
[6,1,4,3,5,2]=>00000=>6
[6,1,4,5,2,3]=>00000=>6
[6,1,4,5,3,2]=>00000=>6
[6,1,5,2,3,4]=>00000=>6
[6,1,5,2,4,3]=>00000=>6
[6,1,5,3,2,4]=>00000=>6
[6,1,5,3,4,2]=>00000=>6
[6,1,5,4,2,3]=>00000=>6
[6,1,5,4,3,2]=>00000=>6
[6,2,1,3,4,5]=>00000=>6
[6,2,1,3,5,4]=>00000=>6
[6,2,1,4,3,5]=>00000=>6
[6,2,1,4,5,3]=>00000=>6
[6,2,1,5,3,4]=>00000=>6
[6,2,1,5,4,3]=>00000=>6
[6,2,3,1,4,5]=>00000=>6
[6,2,3,1,5,4]=>00000=>6
[6,2,3,4,1,5]=>00000=>6
[6,2,3,4,5,1]=>00000=>6
[6,2,3,5,1,4]=>00000=>6
[6,2,3,5,4,1]=>00000=>6
[6,2,4,1,3,5]=>00000=>6
[6,2,4,1,5,3]=>00000=>6
[6,2,4,3,1,5]=>00000=>6
[6,2,4,3,5,1]=>00000=>6
[6,2,4,5,1,3]=>00000=>6
[6,2,4,5,3,1]=>00000=>6
[6,2,5,1,3,4]=>00000=>6
[6,2,5,1,4,3]=>00000=>6
[6,2,5,3,1,4]=>00000=>6
[6,2,5,3,4,1]=>00000=>6
[6,2,5,4,1,3]=>00000=>6
[6,2,5,4,3,1]=>00000=>6
[6,3,1,2,4,5]=>00000=>6
[6,3,1,2,5,4]=>00000=>6
[6,3,1,4,2,5]=>00000=>6
[6,3,1,4,5,2]=>00000=>6
[6,3,1,5,2,4]=>00000=>6
[6,3,1,5,4,2]=>00000=>6
[6,3,2,1,4,5]=>00000=>6
[6,3,2,1,5,4]=>00000=>6
[6,3,2,4,1,5]=>00000=>6
[6,3,2,4,5,1]=>00000=>6
[6,3,2,5,1,4]=>00000=>6
[6,3,2,5,4,1]=>00000=>6
[6,3,4,1,2,5]=>00000=>6
[6,3,4,1,5,2]=>00000=>6
[6,3,4,2,1,5]=>00000=>6
[6,3,4,2,5,1]=>00000=>6
[6,3,4,5,1,2]=>00000=>6
[6,3,4,5,2,1]=>00000=>6
[6,3,5,1,2,4]=>00000=>6
[6,3,5,1,4,2]=>00000=>6
[6,3,5,2,1,4]=>00000=>6
[6,3,5,2,4,1]=>00000=>6
[6,3,5,4,1,2]=>00000=>6
[6,3,5,4,2,1]=>00000=>6
[6,4,1,2,3,5]=>00000=>6
[6,4,1,2,5,3]=>00000=>6
[6,4,1,3,2,5]=>00000=>6
[6,4,1,3,5,2]=>00000=>6
[6,4,1,5,2,3]=>00000=>6
[6,4,1,5,3,2]=>00000=>6
[6,4,2,1,3,5]=>00000=>6
[6,4,2,1,5,3]=>00000=>6
[6,4,2,3,1,5]=>00000=>6
[6,4,2,3,5,1]=>00000=>6
[6,4,2,5,1,3]=>00000=>6
[6,4,2,5,3,1]=>00000=>6
[6,4,3,1,2,5]=>00000=>6
[6,4,3,1,5,2]=>00000=>6
[6,4,3,2,1,5]=>00000=>6
[6,4,3,2,5,1]=>00000=>6
[6,4,3,5,1,2]=>00000=>6
[6,4,3,5,2,1]=>00000=>6
[6,4,5,1,2,3]=>00000=>6
[6,4,5,1,3,2]=>00000=>6
[6,4,5,2,1,3]=>00000=>6
[6,4,5,2,3,1]=>00000=>6
[6,4,5,3,1,2]=>00000=>6
[6,4,5,3,2,1]=>00000=>6
[6,5,1,2,3,4]=>00000=>6
[6,5,1,2,4,3]=>00000=>6
[6,5,1,3,2,4]=>00000=>6
[6,5,1,3,4,2]=>00000=>6
[6,5,1,4,2,3]=>00000=>6
[6,5,1,4,3,2]=>00000=>6
[6,5,2,1,3,4]=>00000=>6
[6,5,2,1,4,3]=>00000=>6
[6,5,2,3,1,4]=>00000=>6
[6,5,2,3,4,1]=>00000=>6
[6,5,2,4,1,3]=>00000=>6
[6,5,2,4,3,1]=>00000=>6
[6,5,3,1,2,4]=>00000=>6
[6,5,3,1,4,2]=>00000=>6
[6,5,3,2,1,4]=>00000=>6
[6,5,3,2,4,1]=>00000=>6
[6,5,3,4,1,2]=>00000=>6
[6,5,3,4,2,1]=>00000=>6
[6,5,4,1,2,3]=>00000=>6
[6,5,4,1,3,2]=>00000=>6
[6,5,4,2,1,3]=>00000=>6
[6,5,4,2,3,1]=>00000=>6
[6,5,4,3,1,2]=>00000=>6
[6,5,4,3,2,1]=>00000=>6
[1,2,3,4,5,6,7]=>111111=>1
[1,2,3,4,5,7,6]=>111110=>1
[1,2,3,4,6,5,7]=>111101=>1
[1,2,3,4,6,7,5]=>111100=>1
[1,2,3,4,7,5,6]=>111100=>1
[1,2,3,4,7,6,5]=>111100=>1
[1,2,3,5,4,6,7]=>111011=>1
[1,2,3,5,4,7,6]=>111010=>1
[1,2,3,5,6,4,7]=>111001=>1
[1,2,3,5,6,7,4]=>111000=>1
[1,2,3,5,7,4,6]=>111000=>1
[1,2,3,5,7,6,4]=>111000=>1
[1,2,3,6,4,5,7]=>111001=>1
[1,2,3,6,4,7,5]=>111000=>1
[1,2,3,6,5,4,7]=>111001=>1
[1,2,3,6,5,7,4]=>111000=>1
[1,2,3,6,7,4,5]=>111000=>1
[1,2,3,6,7,5,4]=>111000=>1
[1,2,3,7,4,5,6]=>111000=>1
[1,2,3,7,4,6,5]=>111000=>1
[1,2,3,7,5,4,6]=>111000=>1
[1,2,3,7,5,6,4]=>111000=>1
[1,2,3,7,6,4,5]=>111000=>1
[1,2,3,7,6,5,4]=>111000=>1
[1,2,4,3,5,6,7]=>110111=>1
[1,2,4,3,5,7,6]=>110110=>1
[1,2,4,3,6,5,7]=>110101=>1
[1,2,4,3,6,7,5]=>110100=>1
[1,2,4,3,7,5,6]=>110100=>1
[1,2,4,3,7,6,5]=>110100=>1
[1,2,4,5,3,6,7]=>110011=>1
[1,2,4,5,3,7,6]=>110010=>1
[1,2,4,5,6,3,7]=>110001=>1
[1,2,4,5,6,7,3]=>110000=>1
[1,2,4,5,7,3,6]=>110000=>1
[1,2,4,5,7,6,3]=>110000=>1
[1,2,4,6,3,5,7]=>110001=>1
[1,2,4,6,3,7,5]=>110000=>1
[1,2,4,6,5,3,7]=>110001=>1
[1,2,4,6,5,7,3]=>110000=>1
[1,2,4,6,7,3,5]=>110000=>1
[1,2,4,6,7,5,3]=>110000=>1
[1,2,4,7,3,5,6]=>110000=>1
[1,2,4,7,3,6,5]=>110000=>1
[1,2,4,7,5,3,6]=>110000=>1
[1,2,4,7,5,6,3]=>110000=>1
[1,2,4,7,6,3,5]=>110000=>1
[1,2,4,7,6,5,3]=>110000=>1
[1,2,5,3,4,6,7]=>110011=>1
[1,2,5,3,4,7,6]=>110010=>1
[1,2,5,3,6,4,7]=>110001=>1
[1,2,5,3,6,7,4]=>110000=>1
[1,2,5,3,7,4,6]=>110000=>1
[1,2,5,3,7,6,4]=>110000=>1
[1,2,5,4,3,6,7]=>110011=>1
[1,2,5,4,3,7,6]=>110010=>1
[1,2,5,4,6,3,7]=>110001=>1
[1,2,5,4,6,7,3]=>110000=>1
[1,2,5,4,7,3,6]=>110000=>1
[1,2,5,4,7,6,3]=>110000=>1
[1,2,5,6,3,4,7]=>110001=>1
[1,2,5,6,3,7,4]=>110000=>1
[1,2,5,6,4,3,7]=>110001=>1
[1,2,5,6,4,7,3]=>110000=>1
[1,2,5,6,7,3,4]=>110000=>1
[1,2,5,6,7,4,3]=>110000=>1
[1,2,5,7,3,4,6]=>110000=>1
[1,2,5,7,3,6,4]=>110000=>1
[1,2,5,7,4,3,6]=>110000=>1
[1,2,5,7,4,6,3]=>110000=>1
[1,2,5,7,6,3,4]=>110000=>1
[1,2,5,7,6,4,3]=>110000=>1
[1,2,6,3,4,5,7]=>110001=>1
[1,2,6,3,4,7,5]=>110000=>1
[1,2,6,3,5,4,7]=>110001=>1
[1,2,6,3,5,7,4]=>110000=>1
[1,2,6,3,7,4,5]=>110000=>1
[1,2,6,3,7,5,4]=>110000=>1
[1,2,6,4,3,5,7]=>110001=>1
[1,2,6,4,3,7,5]=>110000=>1
[1,2,6,4,5,3,7]=>110001=>1
[1,2,6,4,5,7,3]=>110000=>1
[1,2,6,4,7,3,5]=>110000=>1
[1,2,6,4,7,5,3]=>110000=>1
[1,2,6,5,3,4,7]=>110001=>1
[1,2,6,5,3,7,4]=>110000=>1
[1,2,6,5,4,3,7]=>110001=>1
[1,2,6,5,4,7,3]=>110000=>1
[1,2,6,5,7,3,4]=>110000=>1
[1,2,6,5,7,4,3]=>110000=>1
[1,2,6,7,3,4,5]=>110000=>1
[1,2,6,7,3,5,4]=>110000=>1
[1,2,6,7,4,3,5]=>110000=>1
[1,2,6,7,4,5,3]=>110000=>1
[1,2,6,7,5,3,4]=>110000=>1
[1,2,6,7,5,4,3]=>110000=>1
[1,2,7,3,4,5,6]=>110000=>1
[1,2,7,3,4,6,5]=>110000=>1
[1,2,7,3,5,4,6]=>110000=>1
[1,2,7,3,5,6,4]=>110000=>1
[1,2,7,3,6,4,5]=>110000=>1
[1,2,7,3,6,5,4]=>110000=>1
[1,2,7,4,3,5,6]=>110000=>1
[1,2,7,4,3,6,5]=>110000=>1
[1,2,7,4,5,3,6]=>110000=>1
[1,2,7,4,5,6,3]=>110000=>1
[1,2,7,4,6,3,5]=>110000=>1
[1,2,7,4,6,5,3]=>110000=>1
[1,2,7,5,3,4,6]=>110000=>1
[1,2,7,5,3,6,4]=>110000=>1
[1,2,7,5,4,3,6]=>110000=>1
[1,2,7,5,4,6,3]=>110000=>1
[1,2,7,5,6,3,4]=>110000=>1
[1,2,7,5,6,4,3]=>110000=>1
[1,2,7,6,3,4,5]=>110000=>1
[1,2,7,6,3,5,4]=>110000=>1
[1,2,7,6,4,3,5]=>110000=>1
[1,2,7,6,4,5,3]=>110000=>1
[1,2,7,6,5,3,4]=>110000=>1
[1,2,7,6,5,4,3]=>110000=>1
[1,3,2,4,5,6,7]=>101111=>1
[1,3,2,4,5,7,6]=>101110=>1
[1,3,2,4,6,5,7]=>101101=>1
[1,3,2,4,6,7,5]=>101100=>1
[1,3,2,4,7,5,6]=>101100=>1
[1,3,2,4,7,6,5]=>101100=>1
[1,3,2,5,4,6,7]=>101011=>1
[1,3,2,5,4,7,6]=>101010=>1
[1,3,2,5,6,4,7]=>101001=>1
[1,3,2,5,6,7,4]=>101000=>1
[1,3,2,5,7,4,6]=>101000=>1
[1,3,2,5,7,6,4]=>101000=>1
[1,3,2,6,4,5,7]=>101001=>1
[1,3,2,6,4,7,5]=>101000=>1
[1,3,2,6,5,4,7]=>101001=>1
[1,3,2,6,5,7,4]=>101000=>1
[1,3,2,6,7,4,5]=>101000=>1
[1,3,2,6,7,5,4]=>101000=>1
[1,3,2,7,4,5,6]=>101000=>1
[1,3,2,7,4,6,5]=>101000=>1
[1,3,2,7,5,4,6]=>101000=>1
[1,3,2,7,5,6,4]=>101000=>1
[1,3,2,7,6,4,5]=>101000=>1
[1,3,2,7,6,5,4]=>101000=>1
[1,3,4,2,5,6,7]=>100111=>1
[1,3,4,2,5,7,6]=>100110=>1
[1,3,4,2,6,5,7]=>100101=>1
[1,3,4,2,6,7,5]=>100100=>1
[1,3,4,2,7,5,6]=>100100=>1
[1,3,4,2,7,6,5]=>100100=>1
[1,3,4,5,2,6,7]=>100011=>1
[1,3,4,5,2,7,6]=>100010=>1
[1,3,4,5,6,2,7]=>100001=>1
[1,3,4,5,6,7,2]=>100000=>1
[1,3,4,5,7,2,6]=>100000=>1
[1,3,4,5,7,6,2]=>100000=>1
[1,3,4,6,2,5,7]=>100001=>1
[1,3,4,6,2,7,5]=>100000=>1
[1,3,4,6,5,2,7]=>100001=>1
[1,3,4,6,5,7,2]=>100000=>1
[1,3,4,6,7,2,5]=>100000=>1
[1,3,4,6,7,5,2]=>100000=>1
[1,3,4,7,2,5,6]=>100000=>1
[1,3,4,7,2,6,5]=>100000=>1
[1,3,4,7,5,2,6]=>100000=>1
[1,3,4,7,5,6,2]=>100000=>1
[1,3,4,7,6,2,5]=>100000=>1
[1,3,4,7,6,5,2]=>100000=>1
[1,3,5,2,4,6,7]=>100011=>1
[1,3,5,2,4,7,6]=>100010=>1
[1,3,5,2,6,4,7]=>100001=>1
[1,3,5,2,6,7,4]=>100000=>1
[1,3,5,2,7,4,6]=>100000=>1
[1,3,5,2,7,6,4]=>100000=>1
[1,3,5,4,2,6,7]=>100011=>1
[1,3,5,4,2,7,6]=>100010=>1
[1,3,5,4,6,2,7]=>100001=>1
[1,3,5,4,6,7,2]=>100000=>1
[1,3,5,4,7,2,6]=>100000=>1
[1,3,5,4,7,6,2]=>100000=>1
[1,3,5,6,2,4,7]=>100001=>1
[1,3,5,6,2,7,4]=>100000=>1
[1,3,5,6,4,2,7]=>100001=>1
[1,3,5,6,4,7,2]=>100000=>1
[1,3,5,6,7,2,4]=>100000=>1
[1,3,5,6,7,4,2]=>100000=>1
[1,3,5,7,2,4,6]=>100000=>1
[1,3,5,7,2,6,4]=>100000=>1
[1,3,5,7,4,2,6]=>100000=>1
[1,3,5,7,4,6,2]=>100000=>1
[1,3,5,7,6,2,4]=>100000=>1
[1,3,5,7,6,4,2]=>100000=>1
[1,3,6,2,4,5,7]=>100001=>1
[1,3,6,2,4,7,5]=>100000=>1
[1,3,6,2,5,4,7]=>100001=>1
[1,3,6,2,5,7,4]=>100000=>1
[1,3,6,2,7,4,5]=>100000=>1
[1,3,6,2,7,5,4]=>100000=>1
[1,3,6,4,2,5,7]=>100001=>1
[1,3,6,4,2,7,5]=>100000=>1
[1,3,6,4,5,2,7]=>100001=>1
[1,3,6,4,5,7,2]=>100000=>1
[1,3,6,4,7,2,5]=>100000=>1
[1,3,6,4,7,5,2]=>100000=>1
[1,3,6,5,2,4,7]=>100001=>1
[1,3,6,5,2,7,4]=>100000=>1
[1,3,6,5,4,2,7]=>100001=>1
[1,3,6,5,4,7,2]=>100000=>1
[1,3,6,5,7,2,4]=>100000=>1
[1,3,6,5,7,4,2]=>100000=>1
[1,3,6,7,2,4,5]=>100000=>1
[1,3,6,7,2,5,4]=>100000=>1
[1,3,6,7,4,2,5]=>100000=>1
[1,3,6,7,4,5,2]=>100000=>1
[1,3,6,7,5,2,4]=>100000=>1
[1,3,6,7,5,4,2]=>100000=>1
[1,3,7,2,4,5,6]=>100000=>1
[1,3,7,2,4,6,5]=>100000=>1
[1,3,7,2,5,4,6]=>100000=>1
[1,3,7,2,5,6,4]=>100000=>1
[1,3,7,2,6,4,5]=>100000=>1
[1,3,7,2,6,5,4]=>100000=>1
[1,3,7,4,2,5,6]=>100000=>1
[1,3,7,4,2,6,5]=>100000=>1
[1,3,7,4,5,2,6]=>100000=>1
[1,3,7,4,5,6,2]=>100000=>1
[1,3,7,4,6,2,5]=>100000=>1
[1,3,7,4,6,5,2]=>100000=>1
[1,3,7,5,2,4,6]=>100000=>1
[1,3,7,5,2,6,4]=>100000=>1
[1,3,7,5,4,2,6]=>100000=>1
[1,3,7,5,4,6,2]=>100000=>1
[1,3,7,5,6,2,4]=>100000=>1
[1,3,7,5,6,4,2]=>100000=>1
[1,3,7,6,2,4,5]=>100000=>1
[1,3,7,6,2,5,4]=>100000=>1
[1,3,7,6,4,2,5]=>100000=>1
[1,3,7,6,4,5,2]=>100000=>1
[1,3,7,6,5,2,4]=>100000=>1
[1,3,7,6,5,4,2]=>100000=>1
[1,4,2,3,5,6,7]=>100111=>1
[1,4,2,3,5,7,6]=>100110=>1
[1,4,2,3,6,5,7]=>100101=>1
[1,4,2,3,6,7,5]=>100100=>1
[1,4,2,3,7,5,6]=>100100=>1
[1,4,2,3,7,6,5]=>100100=>1
[1,4,2,5,3,6,7]=>100011=>1
[1,4,2,5,3,7,6]=>100010=>1
[1,4,2,5,6,3,7]=>100001=>1
[1,4,2,5,6,7,3]=>100000=>1
[1,4,2,5,7,3,6]=>100000=>1
[1,4,2,5,7,6,3]=>100000=>1
[1,4,2,6,3,5,7]=>100001=>1
[1,4,2,6,3,7,5]=>100000=>1
[1,4,2,6,5,3,7]=>100001=>1
[1,4,2,6,5,7,3]=>100000=>1
[1,4,2,6,7,3,5]=>100000=>1
[1,4,2,6,7,5,3]=>100000=>1
[1,4,2,7,3,5,6]=>100000=>1
[1,4,2,7,3,6,5]=>100000=>1
[1,4,2,7,5,3,6]=>100000=>1
[1,4,2,7,5,6,3]=>100000=>1
[1,4,2,7,6,3,5]=>100000=>1
[1,4,2,7,6,5,3]=>100000=>1
[1,4,3,2,5,6,7]=>100111=>1
[1,4,3,2,5,7,6]=>100110=>1
[1,4,3,2,6,5,7]=>100101=>1
[1,4,3,2,6,7,5]=>100100=>1
[1,4,3,2,7,5,6]=>100100=>1
[1,4,3,2,7,6,5]=>100100=>1
[1,4,3,5,2,6,7]=>100011=>1
[1,4,3,5,2,7,6]=>100010=>1
[1,4,3,5,6,2,7]=>100001=>1
[1,4,3,5,6,7,2]=>100000=>1
[1,4,3,5,7,2,6]=>100000=>1
[1,4,3,5,7,6,2]=>100000=>1
[1,4,3,6,2,5,7]=>100001=>1
[1,4,3,6,2,7,5]=>100000=>1
[1,4,3,6,5,2,7]=>100001=>1
[1,4,3,6,5,7,2]=>100000=>1
[1,4,3,6,7,2,5]=>100000=>1
[1,4,3,6,7,5,2]=>100000=>1
[1,4,3,7,2,5,6]=>100000=>1
[1,4,3,7,2,6,5]=>100000=>1
[1,4,3,7,5,2,6]=>100000=>1
[1,4,3,7,5,6,2]=>100000=>1
[1,4,3,7,6,2,5]=>100000=>1
[1,4,3,7,6,5,2]=>100000=>1
[1,4,5,2,3,6,7]=>100011=>1
[1,4,5,2,3,7,6]=>100010=>1
[1,4,5,2,6,3,7]=>100001=>1
[1,4,5,2,6,7,3]=>100000=>1
[1,4,5,2,7,3,6]=>100000=>1
[1,4,5,2,7,6,3]=>100000=>1
[1,4,5,3,2,6,7]=>100011=>1
[1,4,5,3,2,7,6]=>100010=>1
[1,4,5,3,6,2,7]=>100001=>1
[1,4,5,3,6,7,2]=>100000=>1
[1,4,5,3,7,2,6]=>100000=>1
[1,4,5,3,7,6,2]=>100000=>1
[1,4,5,6,2,3,7]=>100001=>1
[1,4,5,6,2,7,3]=>100000=>1
[1,4,5,6,3,2,7]=>100001=>1
[1,4,5,6,3,7,2]=>100000=>1
[1,4,5,6,7,2,3]=>100000=>1
[1,4,5,6,7,3,2]=>100000=>1
[1,4,5,7,2,3,6]=>100000=>1
[1,4,5,7,2,6,3]=>100000=>1
[1,4,5,7,3,2,6]=>100000=>1
[1,4,5,7,3,6,2]=>100000=>1
[1,4,5,7,6,2,3]=>100000=>1
[1,4,5,7,6,3,2]=>100000=>1
[1,4,6,2,3,5,7]=>100001=>1
[1,4,6,2,3,7,5]=>100000=>1
[1,4,6,2,5,3,7]=>100001=>1
[1,4,6,2,5,7,3]=>100000=>1
[1,4,6,2,7,3,5]=>100000=>1
[1,4,6,2,7,5,3]=>100000=>1
[1,4,6,3,2,5,7]=>100001=>1
[1,4,6,3,2,7,5]=>100000=>1
[1,4,6,3,5,2,7]=>100001=>1
[1,4,6,3,5,7,2]=>100000=>1
[1,4,6,3,7,2,5]=>100000=>1
[1,4,6,3,7,5,2]=>100000=>1
[1,4,6,5,2,3,7]=>100001=>1
[1,4,6,5,2,7,3]=>100000=>1
[1,4,6,5,3,2,7]=>100001=>1
[1,4,6,5,3,7,2]=>100000=>1
[1,4,6,5,7,2,3]=>100000=>1
[1,4,6,5,7,3,2]=>100000=>1
[1,4,6,7,2,3,5]=>100000=>1
[1,4,6,7,2,5,3]=>100000=>1
[1,4,6,7,3,2,5]=>100000=>1
[1,4,6,7,3,5,2]=>100000=>1
[1,4,6,7,5,2,3]=>100000=>1
[1,4,6,7,5,3,2]=>100000=>1
[1,4,7,2,3,5,6]=>100000=>1
[1,4,7,2,3,6,5]=>100000=>1
[1,4,7,2,5,3,6]=>100000=>1
[1,4,7,2,5,6,3]=>100000=>1
[1,4,7,2,6,3,5]=>100000=>1
[1,4,7,2,6,5,3]=>100000=>1
[1,4,7,3,2,5,6]=>100000=>1
[1,4,7,3,2,6,5]=>100000=>1
[1,4,7,3,5,2,6]=>100000=>1
[1,4,7,3,5,6,2]=>100000=>1
[1,4,7,3,6,2,5]=>100000=>1
[1,4,7,3,6,5,2]=>100000=>1
[1,4,7,5,2,3,6]=>100000=>1
[1,4,7,5,2,6,3]=>100000=>1
[1,4,7,5,3,2,6]=>100000=>1
[1,4,7,5,3,6,2]=>100000=>1
[1,4,7,5,6,2,3]=>100000=>1
[1,4,7,5,6,3,2]=>100000=>1
[1,4,7,6,2,3,5]=>100000=>1
[1,4,7,6,2,5,3]=>100000=>1
[1,4,7,6,3,2,5]=>100000=>1
[1,4,7,6,3,5,2]=>100000=>1
[1,4,7,6,5,2,3]=>100000=>1
[1,4,7,6,5,3,2]=>100000=>1
[1,5,2,3,4,6,7]=>100011=>1
[1,5,2,3,4,7,6]=>100010=>1
[1,5,2,3,6,4,7]=>100001=>1
[1,5,2,3,6,7,4]=>100000=>1
[1,5,2,3,7,4,6]=>100000=>1
[1,5,2,3,7,6,4]=>100000=>1
[1,5,2,4,3,6,7]=>100011=>1
[1,5,2,4,3,7,6]=>100010=>1
[1,5,2,4,6,3,7]=>100001=>1
[1,5,2,4,6,7,3]=>100000=>1
[1,5,2,4,7,3,6]=>100000=>1
[1,5,2,4,7,6,3]=>100000=>1
[1,5,2,6,3,4,7]=>100001=>1
[1,5,2,6,3,7,4]=>100000=>1
[1,5,2,6,4,3,7]=>100001=>1
[1,5,2,6,4,7,3]=>100000=>1
[1,5,2,6,7,3,4]=>100000=>1
[1,5,2,6,7,4,3]=>100000=>1
[1,5,2,7,3,4,6]=>100000=>1
[1,5,2,7,3,6,4]=>100000=>1
[1,5,2,7,4,3,6]=>100000=>1
[1,5,2,7,4,6,3]=>100000=>1
[1,5,2,7,6,3,4]=>100000=>1
[1,5,2,7,6,4,3]=>100000=>1
[1,5,3,2,4,6,7]=>100011=>1
[1,5,3,2,4,7,6]=>100010=>1
[1,5,3,2,6,4,7]=>100001=>1
[1,5,3,2,6,7,4]=>100000=>1
[1,5,3,2,7,4,6]=>100000=>1
[1,5,3,2,7,6,4]=>100000=>1
[1,5,3,4,2,6,7]=>100011=>1
[1,5,3,4,2,7,6]=>100010=>1
[1,5,3,4,6,2,7]=>100001=>1
[1,5,3,4,6,7,2]=>100000=>1
[1,5,3,4,7,2,6]=>100000=>1
[1,5,3,4,7,6,2]=>100000=>1
[1,5,3,6,2,4,7]=>100001=>1
[1,5,3,6,2,7,4]=>100000=>1
[1,5,3,6,4,2,7]=>100001=>1
[1,5,3,6,4,7,2]=>100000=>1
[1,5,3,6,7,2,4]=>100000=>1
[1,5,3,6,7,4,2]=>100000=>1
[1,5,3,7,2,4,6]=>100000=>1
[1,5,3,7,2,6,4]=>100000=>1
[1,5,3,7,4,2,6]=>100000=>1
[1,5,3,7,4,6,2]=>100000=>1
[1,5,3,7,6,2,4]=>100000=>1
[1,5,3,7,6,4,2]=>100000=>1
[1,5,4,2,3,6,7]=>100011=>1
[1,5,4,2,3,7,6]=>100010=>1
[1,5,4,2,6,3,7]=>100001=>1
[1,5,4,2,6,7,3]=>100000=>1
[1,5,4,2,7,3,6]=>100000=>1
[1,5,4,2,7,6,3]=>100000=>1
[1,5,4,3,2,6,7]=>100011=>1
[1,5,4,3,2,7,6]=>100010=>1
[1,5,4,3,6,2,7]=>100001=>1
[1,5,4,3,6,7,2]=>100000=>1
[1,5,4,3,7,2,6]=>100000=>1
[1,5,4,3,7,6,2]=>100000=>1
[1,5,4,6,2,3,7]=>100001=>1
[1,5,4,6,2,7,3]=>100000=>1
[1,5,4,6,3,2,7]=>100001=>1
[1,5,4,6,3,7,2]=>100000=>1
[1,5,4,6,7,2,3]=>100000=>1
[1,5,4,6,7,3,2]=>100000=>1
[1,5,4,7,2,3,6]=>100000=>1
[1,5,4,7,2,6,3]=>100000=>1
[1,5,4,7,3,2,6]=>100000=>1
[1,5,4,7,3,6,2]=>100000=>1
[1,5,4,7,6,2,3]=>100000=>1
[1,5,4,7,6,3,2]=>100000=>1
[1,5,6,2,3,4,7]=>100001=>1
[1,5,6,2,3,7,4]=>100000=>1
[1,5,6,2,4,3,7]=>100001=>1
[1,5,6,2,4,7,3]=>100000=>1
[1,5,6,2,7,3,4]=>100000=>1
[1,5,6,2,7,4,3]=>100000=>1
[1,5,6,3,2,4,7]=>100001=>1
[1,5,6,3,2,7,4]=>100000=>1
[1,5,6,3,4,2,7]=>100001=>1
[1,5,6,3,4,7,2]=>100000=>1
[1,5,6,3,7,2,4]=>100000=>1
[1,5,6,3,7,4,2]=>100000=>1
[1,5,6,4,2,3,7]=>100001=>1
[1,5,6,4,2,7,3]=>100000=>1
[1,5,6,4,3,2,7]=>100001=>1
[1,5,6,4,3,7,2]=>100000=>1
[1,5,6,4,7,2,3]=>100000=>1
[1,5,6,4,7,3,2]=>100000=>1
[1,5,6,7,2,3,4]=>100000=>1
[1,5,6,7,2,4,3]=>100000=>1
[1,5,6,7,3,2,4]=>100000=>1
[1,5,6,7,3,4,2]=>100000=>1
[1,5,6,7,4,2,3]=>100000=>1
[1,5,6,7,4,3,2]=>100000=>1
[1,5,7,2,3,4,6]=>100000=>1
[1,5,7,2,3,6,4]=>100000=>1
[1,5,7,2,4,3,6]=>100000=>1
[1,5,7,2,4,6,3]=>100000=>1
[1,5,7,2,6,3,4]=>100000=>1
[1,5,7,2,6,4,3]=>100000=>1
[1,5,7,3,2,4,6]=>100000=>1
[1,5,7,3,2,6,4]=>100000=>1
[1,5,7,3,4,2,6]=>100000=>1
[1,5,7,3,4,6,2]=>100000=>1
[1,5,7,3,6,2,4]=>100000=>1
[1,5,7,3,6,4,2]=>100000=>1
[1,5,7,4,2,3,6]=>100000=>1
[1,5,7,4,2,6,3]=>100000=>1
[1,5,7,4,3,2,6]=>100000=>1
[1,5,7,4,3,6,2]=>100000=>1
[1,5,7,4,6,2,3]=>100000=>1
[1,5,7,4,6,3,2]=>100000=>1
[1,5,7,6,2,3,4]=>100000=>1
[1,5,7,6,2,4,3]=>100000=>1
[1,5,7,6,3,2,4]=>100000=>1
[1,5,7,6,3,4,2]=>100000=>1
[1,5,7,6,4,2,3]=>100000=>1
[1,5,7,6,4,3,2]=>100000=>1
[1,6,2,3,4,5,7]=>100001=>1
[1,6,2,3,4,7,5]=>100000=>1
[1,6,2,3,5,4,7]=>100001=>1
[1,6,2,3,5,7,4]=>100000=>1
[1,6,2,3,7,4,5]=>100000=>1
[1,6,2,3,7,5,4]=>100000=>1
[1,6,2,4,3,5,7]=>100001=>1
[1,6,2,4,3,7,5]=>100000=>1
[1,6,2,4,5,3,7]=>100001=>1
[1,6,2,4,5,7,3]=>100000=>1
[1,6,2,4,7,3,5]=>100000=>1
[1,6,2,4,7,5,3]=>100000=>1
[1,6,2,5,3,4,7]=>100001=>1
[1,6,2,5,3,7,4]=>100000=>1
[1,6,2,5,4,3,7]=>100001=>1
[1,6,2,5,4,7,3]=>100000=>1
[1,6,2,5,7,3,4]=>100000=>1
[1,6,2,5,7,4,3]=>100000=>1
[1,6,2,7,3,4,5]=>100000=>1
[1,6,2,7,3,5,4]=>100000=>1
[1,6,2,7,4,3,5]=>100000=>1
[1,6,2,7,4,5,3]=>100000=>1
[1,6,2,7,5,3,4]=>100000=>1
[1,6,2,7,5,4,3]=>100000=>1
[1,6,3,2,4,5,7]=>100001=>1
[1,6,3,2,4,7,5]=>100000=>1
[1,6,3,2,5,4,7]=>100001=>1
[1,6,3,2,5,7,4]=>100000=>1
[1,6,3,2,7,4,5]=>100000=>1
[1,6,3,2,7,5,4]=>100000=>1
[1,6,3,4,2,5,7]=>100001=>1
[1,6,3,4,2,7,5]=>100000=>1
[1,6,3,4,5,2,7]=>100001=>1
[1,6,3,4,5,7,2]=>100000=>1
[1,6,3,4,7,2,5]=>100000=>1
[1,6,3,4,7,5,2]=>100000=>1
[1,6,3,5,2,4,7]=>100001=>1
[1,6,3,5,2,7,4]=>100000=>1
[1,6,3,5,4,2,7]=>100001=>1
[1,6,3,5,4,7,2]=>100000=>1
[1,6,3,5,7,2,4]=>100000=>1
[1,6,3,5,7,4,2]=>100000=>1
[1,6,3,7,2,4,5]=>100000=>1
[1,6,3,7,2,5,4]=>100000=>1
[1,6,3,7,4,2,5]=>100000=>1
[1,6,3,7,4,5,2]=>100000=>1
[1,6,3,7,5,2,4]=>100000=>1
[1,6,3,7,5,4,2]=>100000=>1
[1,6,4,2,3,5,7]=>100001=>1
[1,6,4,2,3,7,5]=>100000=>1
[1,6,4,2,5,3,7]=>100001=>1
[1,6,4,2,5,7,3]=>100000=>1
[1,6,4,2,7,3,5]=>100000=>1
[1,6,4,2,7,5,3]=>100000=>1
[1,6,4,3,2,5,7]=>100001=>1
[1,6,4,3,2,7,5]=>100000=>1
[1,6,4,3,5,2,7]=>100001=>1
[1,6,4,3,5,7,2]=>100000=>1
[1,6,4,3,7,2,5]=>100000=>1
[1,6,4,3,7,5,2]=>100000=>1
[1,6,4,5,2,3,7]=>100001=>1
[1,6,4,5,2,7,3]=>100000=>1
[1,6,4,5,3,2,7]=>100001=>1
[1,6,4,5,3,7,2]=>100000=>1
[1,6,4,5,7,2,3]=>100000=>1
[1,6,4,5,7,3,2]=>100000=>1
[1,6,4,7,2,3,5]=>100000=>1
[1,6,4,7,2,5,3]=>100000=>1
[1,6,4,7,3,2,5]=>100000=>1
[1,6,4,7,3,5,2]=>100000=>1
[1,6,4,7,5,2,3]=>100000=>1
[1,6,4,7,5,3,2]=>100000=>1
[1,6,5,2,3,4,7]=>100001=>1
[1,6,5,2,3,7,4]=>100000=>1
[1,6,5,2,4,3,7]=>100001=>1
[1,6,5,2,4,7,3]=>100000=>1
[1,6,5,2,7,3,4]=>100000=>1
[1,6,5,2,7,4,3]=>100000=>1
[1,6,5,3,2,4,7]=>100001=>1
[1,6,5,3,2,7,4]=>100000=>1
[1,6,5,3,4,2,7]=>100001=>1
[1,6,5,3,4,7,2]=>100000=>1
[1,6,5,3,7,2,4]=>100000=>1
[1,6,5,3,7,4,2]=>100000=>1
[1,6,5,4,2,3,7]=>100001=>1
[1,6,5,4,2,7,3]=>100000=>1
[1,6,5,4,3,2,7]=>100001=>1
[1,6,5,4,3,7,2]=>100000=>1
[1,6,5,4,7,2,3]=>100000=>1
[1,6,5,4,7,3,2]=>100000=>1
[1,6,5,7,2,3,4]=>100000=>1
[1,6,5,7,2,4,3]=>100000=>1
[1,6,5,7,3,2,4]=>100000=>1
[1,6,5,7,3,4,2]=>100000=>1
[1,6,5,7,4,2,3]=>100000=>1
[1,6,5,7,4,3,2]=>100000=>1
[1,6,7,2,3,4,5]=>100000=>1
[1,6,7,2,3,5,4]=>100000=>1
[1,6,7,2,4,3,5]=>100000=>1
[1,6,7,2,4,5,3]=>100000=>1
[1,6,7,2,5,3,4]=>100000=>1
[1,6,7,2,5,4,3]=>100000=>1
[1,6,7,3,2,4,5]=>100000=>1
[1,6,7,3,2,5,4]=>100000=>1
[1,6,7,3,4,2,5]=>100000=>1
[1,6,7,3,4,5,2]=>100000=>1
[1,6,7,3,5,2,4]=>100000=>1
[1,6,7,3,5,4,2]=>100000=>1
[1,6,7,4,2,3,5]=>100000=>1
[1,6,7,4,2,5,3]=>100000=>1
[1,6,7,4,3,2,5]=>100000=>1
[1,6,7,4,3,5,2]=>100000=>1
[1,6,7,4,5,2,3]=>100000=>1
[1,6,7,4,5,3,2]=>100000=>1
[1,6,7,5,2,3,4]=>100000=>1
[1,6,7,5,2,4,3]=>100000=>1
[1,6,7,5,3,2,4]=>100000=>1
[1,6,7,5,3,4,2]=>100000=>1
[1,6,7,5,4,2,3]=>100000=>1
[1,6,7,5,4,3,2]=>100000=>1
[1,7,2,3,4,5,6]=>100000=>1
[1,7,2,3,4,6,5]=>100000=>1
[1,7,2,3,5,4,6]=>100000=>1
[1,7,2,3,5,6,4]=>100000=>1
[1,7,2,3,6,4,5]=>100000=>1
[1,7,2,3,6,5,4]=>100000=>1
[1,7,2,4,3,5,6]=>100000=>1
[1,7,2,4,3,6,5]=>100000=>1
[1,7,2,4,5,3,6]=>100000=>1
[1,7,2,4,5,6,3]=>100000=>1
[1,7,2,4,6,3,5]=>100000=>1
[1,7,2,4,6,5,3]=>100000=>1
[1,7,2,5,3,4,6]=>100000=>1
[1,7,2,5,3,6,4]=>100000=>1
[1,7,2,5,4,3,6]=>100000=>1
[1,7,2,5,4,6,3]=>100000=>1
[1,7,2,5,6,3,4]=>100000=>1
[1,7,2,5,6,4,3]=>100000=>1
[1,7,2,6,3,4,5]=>100000=>1
[1,7,2,6,3,5,4]=>100000=>1
[1,7,2,6,4,3,5]=>100000=>1
[1,7,2,6,4,5,3]=>100000=>1
[1,7,2,6,5,3,4]=>100000=>1
[1,7,2,6,5,4,3]=>100000=>1
[1,7,3,2,4,5,6]=>100000=>1
[1,7,3,2,4,6,5]=>100000=>1
[1,7,3,2,5,4,6]=>100000=>1
[1,7,3,2,5,6,4]=>100000=>1
[1,7,3,2,6,4,5]=>100000=>1
[1,7,3,2,6,5,4]=>100000=>1
[1,7,3,4,2,5,6]=>100000=>1
[1,7,3,4,2,6,5]=>100000=>1
[1,7,3,4,5,2,6]=>100000=>1
[1,7,3,4,5,6,2]=>100000=>1
[1,7,3,4,6,2,5]=>100000=>1
[1,7,3,4,6,5,2]=>100000=>1
[1,7,3,5,2,4,6]=>100000=>1
[1,7,3,5,2,6,4]=>100000=>1
[1,7,3,5,4,2,6]=>100000=>1
[1,7,3,5,4,6,2]=>100000=>1
[1,7,3,5,6,2,4]=>100000=>1
[1,7,3,5,6,4,2]=>100000=>1
[1,7,3,6,2,4,5]=>100000=>1
[1,7,3,6,2,5,4]=>100000=>1
[1,7,3,6,4,2,5]=>100000=>1
[1,7,3,6,4,5,2]=>100000=>1
[1,7,3,6,5,2,4]=>100000=>1
[1,7,3,6,5,4,2]=>100000=>1
[1,7,4,2,3,5,6]=>100000=>1
[1,7,4,2,3,6,5]=>100000=>1
[1,7,4,2,5,3,6]=>100000=>1
[1,7,4,2,5,6,3]=>100000=>1
[1,7,4,2,6,3,5]=>100000=>1
[1,7,4,2,6,5,3]=>100000=>1
[1,7,4,3,2,5,6]=>100000=>1
[1,7,4,3,2,6,5]=>100000=>1
[1,7,4,3,5,2,6]=>100000=>1
[1,7,4,3,5,6,2]=>100000=>1
[1,7,4,3,6,2,5]=>100000=>1
[1,7,4,3,6,5,2]=>100000=>1
[1,7,4,5,2,3,6]=>100000=>1
[1,7,4,5,2,6,3]=>100000=>1
[1,7,4,5,3,2,6]=>100000=>1
[1,7,4,5,3,6,2]=>100000=>1
[1,7,4,5,6,2,3]=>100000=>1
[1,7,4,5,6,3,2]=>100000=>1
[1,7,4,6,2,3,5]=>100000=>1
[1,7,4,6,2,5,3]=>100000=>1
[1,7,4,6,3,2,5]=>100000=>1
[1,7,4,6,3,5,2]=>100000=>1
[1,7,4,6,5,2,3]=>100000=>1
[1,7,4,6,5,3,2]=>100000=>1
[1,7,5,2,3,4,6]=>100000=>1
[1,7,5,2,3,6,4]=>100000=>1
[1,7,5,2,4,3,6]=>100000=>1
[1,7,5,2,4,6,3]=>100000=>1
[1,7,5,2,6,3,4]=>100000=>1
[1,7,5,2,6,4,3]=>100000=>1
[1,7,5,3,2,4,6]=>100000=>1
[1,7,5,3,2,6,4]=>100000=>1
[1,7,5,3,4,2,6]=>100000=>1
[1,7,5,3,4,6,2]=>100000=>1
[1,7,5,3,6,2,4]=>100000=>1
[1,7,5,3,6,4,2]=>100000=>1
[1,7,5,4,2,3,6]=>100000=>1
[1,7,5,4,2,6,3]=>100000=>1
[1,7,5,4,3,2,6]=>100000=>1
[1,7,5,4,3,6,2]=>100000=>1
[1,7,5,4,6,2,3]=>100000=>1
[1,7,5,4,6,3,2]=>100000=>1
[1,7,5,6,2,3,4]=>100000=>1
[1,7,5,6,2,4,3]=>100000=>1
[1,7,5,6,3,2,4]=>100000=>1
[1,7,5,6,3,4,2]=>100000=>1
[1,7,5,6,4,2,3]=>100000=>1
[1,7,5,6,4,3,2]=>100000=>1
[1,7,6,2,3,4,5]=>100000=>1
[1,7,6,2,3,5,4]=>100000=>1
[1,7,6,2,4,3,5]=>100000=>1
[1,7,6,2,4,5,3]=>100000=>1
[1,7,6,2,5,3,4]=>100000=>1
[1,7,6,2,5,4,3]=>100000=>1
[1,7,6,3,2,4,5]=>100000=>1
[1,7,6,3,2,5,4]=>100000=>1
[1,7,6,3,4,2,5]=>100000=>1
[1,7,6,3,4,5,2]=>100000=>1
[1,7,6,3,5,2,4]=>100000=>1
[1,7,6,3,5,4,2]=>100000=>1
[1,7,6,4,2,3,5]=>100000=>1
[1,7,6,4,2,5,3]=>100000=>1
[1,7,6,4,3,2,5]=>100000=>1
[1,7,6,4,3,5,2]=>100000=>1
[1,7,6,4,5,2,3]=>100000=>1
[1,7,6,4,5,3,2]=>100000=>1
[1,7,6,5,2,3,4]=>100000=>1
[1,7,6,5,2,4,3]=>100000=>1
[1,7,6,5,3,2,4]=>100000=>1
[1,7,6,5,3,4,2]=>100000=>1
[1,7,6,5,4,2,3]=>100000=>1
[1,7,6,5,4,3,2]=>100000=>1
[2,1,3,4,5,6,7]=>011111=>2
[2,1,3,4,5,7,6]=>011110=>2
[2,1,3,4,6,5,7]=>011101=>2
[2,1,3,4,6,7,5]=>011100=>2
[2,1,3,4,7,5,6]=>011100=>2
[2,1,3,4,7,6,5]=>011100=>2
[2,1,3,5,4,6,7]=>011011=>2
[2,1,3,5,4,7,6]=>011010=>2
[2,1,3,5,6,4,7]=>011001=>2
[2,1,3,5,6,7,4]=>011000=>2
[2,1,3,5,7,4,6]=>011000=>2
[2,1,3,5,7,6,4]=>011000=>2
[2,1,3,6,4,5,7]=>011001=>2
[2,1,3,6,4,7,5]=>011000=>2
[2,1,3,6,5,4,7]=>011001=>2
[2,1,3,6,5,7,4]=>011000=>2
[2,1,3,6,7,4,5]=>011000=>2
[2,1,3,6,7,5,4]=>011000=>2
[2,1,3,7,4,5,6]=>011000=>2
[2,1,3,7,4,6,5]=>011000=>2
[2,1,3,7,5,4,6]=>011000=>2
[2,1,3,7,5,6,4]=>011000=>2
[2,1,3,7,6,4,5]=>011000=>2
[2,1,3,7,6,5,4]=>011000=>2
[2,1,4,3,5,6,7]=>010111=>2
[2,1,4,3,5,7,6]=>010110=>2
[2,1,4,3,6,5,7]=>010101=>2
[2,1,4,3,6,7,5]=>010100=>2
[2,1,4,3,7,5,6]=>010100=>2
[2,1,4,3,7,6,5]=>010100=>2
[2,1,4,5,3,6,7]=>010011=>2
[2,1,4,5,3,7,6]=>010010=>2
[2,1,4,5,6,3,7]=>010001=>2
[2,1,4,5,6,7,3]=>010000=>2
[2,1,4,5,7,3,6]=>010000=>2
[2,1,4,5,7,6,3]=>010000=>2
[2,1,4,6,3,5,7]=>010001=>2
[2,1,4,6,3,7,5]=>010000=>2
[2,1,4,6,5,3,7]=>010001=>2
[2,1,4,6,5,7,3]=>010000=>2
[2,1,4,6,7,3,5]=>010000=>2
[2,1,4,6,7,5,3]=>010000=>2
[2,1,4,7,3,5,6]=>010000=>2
[2,1,4,7,3,6,5]=>010000=>2
[2,1,4,7,5,3,6]=>010000=>2
[2,1,4,7,5,6,3]=>010000=>2
[2,1,4,7,6,3,5]=>010000=>2
[2,1,4,7,6,5,3]=>010000=>2
[2,1,5,3,4,6,7]=>010011=>2
[2,1,5,3,4,7,6]=>010010=>2
[2,1,5,3,6,4,7]=>010001=>2
[2,1,5,3,6,7,4]=>010000=>2
[2,1,5,3,7,4,6]=>010000=>2
[2,1,5,3,7,6,4]=>010000=>2
[2,1,5,4,3,6,7]=>010011=>2
[2,1,5,4,3,7,6]=>010010=>2
[2,1,5,4,6,3,7]=>010001=>2
[2,1,5,4,6,7,3]=>010000=>2
[2,1,5,4,7,3,6]=>010000=>2
[2,1,5,4,7,6,3]=>010000=>2
[2,1,5,6,3,4,7]=>010001=>2
[2,1,5,6,3,7,4]=>010000=>2
[2,1,5,6,4,3,7]=>010001=>2
[2,1,5,6,4,7,3]=>010000=>2
[2,1,5,6,7,3,4]=>010000=>2
[2,1,5,6,7,4,3]=>010000=>2
[2,1,5,7,3,4,6]=>010000=>2
[2,1,5,7,3,6,4]=>010000=>2
[2,1,5,7,4,3,6]=>010000=>2
[2,1,5,7,4,6,3]=>010000=>2
[2,1,5,7,6,3,4]=>010000=>2
[2,1,5,7,6,4,3]=>010000=>2
[2,1,6,3,4,5,7]=>010001=>2
[2,1,6,3,4,7,5]=>010000=>2
[2,1,6,3,5,4,7]=>010001=>2
[2,1,6,3,5,7,4]=>010000=>2
[2,1,6,3,7,4,5]=>010000=>2
[2,1,6,3,7,5,4]=>010000=>2
[2,1,6,4,3,5,7]=>010001=>2
[2,1,6,4,3,7,5]=>010000=>2
[2,1,6,4,5,3,7]=>010001=>2
[2,1,6,4,5,7,3]=>010000=>2
[2,1,6,4,7,3,5]=>010000=>2
[2,1,6,4,7,5,3]=>010000=>2
[2,1,6,5,3,4,7]=>010001=>2
[2,1,6,5,3,7,4]=>010000=>2
[2,1,6,5,4,3,7]=>010001=>2
[2,1,6,5,4,7,3]=>010000=>2
[2,1,6,5,7,3,4]=>010000=>2
[2,1,6,5,7,4,3]=>010000=>2
[2,1,6,7,3,4,5]=>010000=>2
[2,1,6,7,3,5,4]=>010000=>2
[2,1,6,7,4,3,5]=>010000=>2
[2,1,6,7,4,5,3]=>010000=>2
[2,1,6,7,5,3,4]=>010000=>2
[2,1,6,7,5,4,3]=>010000=>2
[2,1,7,3,4,5,6]=>010000=>2
[2,1,7,3,4,6,5]=>010000=>2
[2,1,7,3,5,4,6]=>010000=>2
[2,1,7,3,5,6,4]=>010000=>2
[2,1,7,3,6,4,5]=>010000=>2
[2,1,7,3,6,5,4]=>010000=>2
[2,1,7,4,3,5,6]=>010000=>2
[2,1,7,4,3,6,5]=>010000=>2
[2,1,7,4,5,3,6]=>010000=>2
[2,1,7,4,5,6,3]=>010000=>2
[2,1,7,4,6,3,5]=>010000=>2
[2,1,7,4,6,5,3]=>010000=>2
[2,1,7,5,3,4,6]=>010000=>2
[2,1,7,5,3,6,4]=>010000=>2
[2,1,7,5,4,3,6]=>010000=>2
[2,1,7,5,4,6,3]=>010000=>2
[2,1,7,5,6,3,4]=>010000=>2
[2,1,7,5,6,4,3]=>010000=>2
[2,1,7,6,3,4,5]=>010000=>2
[2,1,7,6,3,5,4]=>010000=>2
[2,1,7,6,4,3,5]=>010000=>2
[2,1,7,6,4,5,3]=>010000=>2
[2,1,7,6,5,3,4]=>010000=>2
[2,1,7,6,5,4,3]=>010000=>2
[2,3,1,4,5,6,7]=>001111=>3
[2,3,1,4,5,7,6]=>001110=>3
[2,3,1,4,6,5,7]=>001101=>3
[2,3,1,4,6,7,5]=>001100=>3
[2,3,1,4,7,5,6]=>001100=>3
[2,3,1,4,7,6,5]=>001100=>3
[2,3,1,5,4,6,7]=>001011=>3
[2,3,1,5,4,7,6]=>001010=>3
[2,3,1,5,6,4,7]=>001001=>3
[2,3,1,5,6,7,4]=>001000=>3
[2,3,1,5,7,4,6]=>001000=>3
[2,3,1,5,7,6,4]=>001000=>3
[2,3,1,6,4,5,7]=>001001=>3
[2,3,1,6,4,7,5]=>001000=>3
[2,3,1,6,5,4,7]=>001001=>3
[2,3,1,6,5,7,4]=>001000=>3
[2,3,1,6,7,4,5]=>001000=>3
[2,3,1,6,7,5,4]=>001000=>3
[2,3,1,7,4,5,6]=>001000=>3
[2,3,1,7,4,6,5]=>001000=>3
[2,3,1,7,5,4,6]=>001000=>3
[2,3,1,7,5,6,4]=>001000=>3
[2,3,1,7,6,4,5]=>001000=>3
[2,3,1,7,6,5,4]=>001000=>3
[2,3,4,1,5,6,7]=>000111=>4
[2,3,4,1,5,7,6]=>000110=>4
[2,3,4,1,6,5,7]=>000101=>4
[2,3,4,1,6,7,5]=>000100=>4
[2,3,4,1,7,5,6]=>000100=>4
[2,3,4,1,7,6,5]=>000100=>4
[2,3,4,5,1,6,7]=>000011=>5
[2,3,4,5,1,7,6]=>000010=>5
[2,3,4,5,6,1,7]=>000001=>6
[2,3,4,5,6,7,1]=>000000=>7
[2,3,4,5,7,1,6]=>000000=>7
[2,3,4,5,7,6,1]=>000000=>7
[2,3,4,6,1,5,7]=>000001=>6
[2,3,4,6,1,7,5]=>000000=>7
[2,3,4,6,5,1,7]=>000001=>6
[2,3,4,6,5,7,1]=>000000=>7
[2,3,4,6,7,1,5]=>000000=>7
[2,3,4,6,7,5,1]=>000000=>7
[2,3,4,7,1,5,6]=>000000=>7
[2,3,4,7,1,6,5]=>000000=>7
[2,3,4,7,5,1,6]=>000000=>7
[2,3,4,7,5,6,1]=>000000=>7
[2,3,4,7,6,1,5]=>000000=>7
[2,3,4,7,6,5,1]=>000000=>7
[2,3,5,1,4,6,7]=>000011=>5
[2,3,5,1,4,7,6]=>000010=>5
[2,3,5,1,6,4,7]=>000001=>6
[2,3,5,1,6,7,4]=>000000=>7
[2,3,5,1,7,4,6]=>000000=>7
[2,3,5,1,7,6,4]=>000000=>7
[2,3,5,4,1,6,7]=>000011=>5
[2,3,5,4,1,7,6]=>000010=>5
[2,3,5,4,6,1,7]=>000001=>6
[2,3,5,4,6,7,1]=>000000=>7
[2,3,5,4,7,1,6]=>000000=>7
[2,3,5,4,7,6,1]=>000000=>7
[2,3,5,6,1,4,7]=>000001=>6
[2,3,5,6,1,7,4]=>000000=>7
[2,3,5,6,4,1,7]=>000001=>6
[2,3,5,6,4,7,1]=>000000=>7
[2,3,5,6,7,1,4]=>000000=>7
[2,3,5,6,7,4,1]=>000000=>7
[2,3,5,7,1,4,6]=>000000=>7
[2,3,5,7,1,6,4]=>000000=>7
[2,3,5,7,4,1,6]=>000000=>7
[2,3,5,7,4,6,1]=>000000=>7
[2,3,5,7,6,1,4]=>000000=>7
[2,3,5,7,6,4,1]=>000000=>7
[2,3,6,1,4,5,7]=>000001=>6
[2,3,6,1,4,7,5]=>000000=>7
[2,3,6,1,5,4,7]=>000001=>6
[2,3,6,1,5,7,4]=>000000=>7
[2,3,6,1,7,4,5]=>000000=>7
[2,3,6,1,7,5,4]=>000000=>7
[2,3,6,4,1,5,7]=>000001=>6
[2,3,6,4,1,7,5]=>000000=>7
[2,3,6,4,5,1,7]=>000001=>6
[2,3,6,4,5,7,1]=>000000=>7
[2,3,6,4,7,1,5]=>000000=>7
[2,3,6,4,7,5,1]=>000000=>7
[2,3,6,5,1,4,7]=>000001=>6
[2,3,6,5,1,7,4]=>000000=>7
[2,3,6,5,4,1,7]=>000001=>6
[2,3,6,5,4,7,1]=>000000=>7
[2,3,6,5,7,1,4]=>000000=>7
[2,3,6,5,7,4,1]=>000000=>7
[2,3,6,7,1,4,5]=>000000=>7
[2,3,6,7,1,5,4]=>000000=>7
[2,3,6,7,4,1,5]=>000000=>7
[2,3,6,7,4,5,1]=>000000=>7
[2,3,6,7,5,1,4]=>000000=>7
[2,3,6,7,5,4,1]=>000000=>7
[2,3,7,1,4,5,6]=>000000=>7
[2,3,7,1,4,6,5]=>000000=>7
[2,3,7,1,5,4,6]=>000000=>7
[2,3,7,1,5,6,4]=>000000=>7
[2,3,7,1,6,4,5]=>000000=>7
[2,3,7,1,6,5,4]=>000000=>7
[2,3,7,4,1,5,6]=>000000=>7
[2,3,7,4,1,6,5]=>000000=>7
[2,3,7,4,5,1,6]=>000000=>7
[2,3,7,4,5,6,1]=>000000=>7
[2,3,7,4,6,1,5]=>000000=>7
[2,3,7,4,6,5,1]=>000000=>7
[2,3,7,5,1,4,6]=>000000=>7
[2,3,7,5,1,6,4]=>000000=>7
[2,3,7,5,4,1,6]=>000000=>7
[2,3,7,5,4,6,1]=>000000=>7
[2,3,7,5,6,1,4]=>000000=>7
[2,3,7,5,6,4,1]=>000000=>7
[2,3,7,6,1,4,5]=>000000=>7
[2,3,7,6,1,5,4]=>000000=>7
[2,3,7,6,4,1,5]=>000000=>7
[2,3,7,6,4,5,1]=>000000=>7
[2,3,7,6,5,1,4]=>000000=>7
[2,3,7,6,5,4,1]=>000000=>7
[2,4,1,3,5,6,7]=>000111=>4
[2,4,1,3,5,7,6]=>000110=>4
[2,4,1,3,6,5,7]=>000101=>4
[2,4,1,3,6,7,5]=>000100=>4
[2,4,1,3,7,5,6]=>000100=>4
[2,4,1,3,7,6,5]=>000100=>4
[2,4,1,5,3,6,7]=>000011=>5
[2,4,1,5,3,7,6]=>000010=>5
[2,4,1,5,6,3,7]=>000001=>6
[2,4,1,5,6,7,3]=>000000=>7
[2,4,1,5,7,3,6]=>000000=>7
[2,4,1,5,7,6,3]=>000000=>7
[2,4,1,6,3,5,7]=>000001=>6
[2,4,1,6,3,7,5]=>000000=>7
[2,4,1,6,5,3,7]=>000001=>6
[2,4,1,6,5,7,3]=>000000=>7
[2,4,1,6,7,3,5]=>000000=>7
[2,4,1,6,7,5,3]=>000000=>7
[2,4,1,7,3,5,6]=>000000=>7
[2,4,1,7,3,6,5]=>000000=>7
[2,4,1,7,5,3,6]=>000000=>7
[2,4,1,7,5,6,3]=>000000=>7
[2,4,1,7,6,3,5]=>000000=>7
[2,4,1,7,6,5,3]=>000000=>7
[2,4,3,1,5,6,7]=>000111=>4
[2,4,3,1,5,7,6]=>000110=>4
[2,4,3,1,6,5,7]=>000101=>4
[2,4,3,1,6,7,5]=>000100=>4
[2,4,3,1,7,5,6]=>000100=>4
[2,4,3,1,7,6,5]=>000100=>4
[2,4,3,5,1,6,7]=>000011=>5
[2,4,3,5,1,7,6]=>000010=>5
[2,4,3,5,6,1,7]=>000001=>6
[2,4,3,5,6,7,1]=>000000=>7
[2,4,3,5,7,1,6]=>000000=>7
[2,4,3,5,7,6,1]=>000000=>7
[2,4,3,6,1,5,7]=>000001=>6
[2,4,3,6,1,7,5]=>000000=>7
[2,4,3,6,5,1,7]=>000001=>6
[2,4,3,6,5,7,1]=>000000=>7
[2,4,3,6,7,1,5]=>000000=>7
[2,4,3,6,7,5,1]=>000000=>7
[2,4,3,7,1,5,6]=>000000=>7
[2,4,3,7,1,6,5]=>000000=>7
[2,4,3,7,5,1,6]=>000000=>7
[2,4,3,7,5,6,1]=>000000=>7
[2,4,3,7,6,1,5]=>000000=>7
[2,4,3,7,6,5,1]=>000000=>7
[2,4,5,1,3,6,7]=>000011=>5
[2,4,5,1,3,7,6]=>000010=>5
[2,4,5,1,6,3,7]=>000001=>6
[2,4,5,1,6,7,3]=>000000=>7
[2,4,5,1,7,3,6]=>000000=>7
[2,4,5,1,7,6,3]=>000000=>7
[2,4,5,3,1,6,7]=>000011=>5
[2,4,5,3,1,7,6]=>000010=>5
[2,4,5,3,6,1,7]=>000001=>6
[2,4,5,3,6,7,1]=>000000=>7
[2,4,5,3,7,1,6]=>000000=>7
[2,4,5,3,7,6,1]=>000000=>7
[2,4,5,6,1,3,7]=>000001=>6
[2,4,5,6,1,7,3]=>000000=>7
[2,4,5,6,3,1,7]=>000001=>6
[2,4,5,6,3,7,1]=>000000=>7
[2,4,5,6,7,1,3]=>000000=>7
[2,4,5,6,7,3,1]=>000000=>7
[2,4,5,7,1,3,6]=>000000=>7
[2,4,5,7,1,6,3]=>000000=>7
[2,4,5,7,3,1,6]=>000000=>7
[2,4,5,7,3,6,1]=>000000=>7
[2,4,5,7,6,1,3]=>000000=>7
[2,4,5,7,6,3,1]=>000000=>7
[2,4,6,1,3,5,7]=>000001=>6
[2,4,6,1,3,7,5]=>000000=>7
[2,4,6,1,5,3,7]=>000001=>6
[2,4,6,1,5,7,3]=>000000=>7
[2,4,6,1,7,3,5]=>000000=>7
[2,4,6,1,7,5,3]=>000000=>7
[2,4,6,3,1,5,7]=>000001=>6
[2,4,6,3,1,7,5]=>000000=>7
[2,4,6,3,5,1,7]=>000001=>6
[2,4,6,3,5,7,1]=>000000=>7
[2,4,6,3,7,1,5]=>000000=>7
[2,4,6,3,7,5,1]=>000000=>7
[2,4,6,5,1,3,7]=>000001=>6
[2,4,6,5,1,7,3]=>000000=>7
[2,4,6,5,3,1,7]=>000001=>6
[2,4,6,5,3,7,1]=>000000=>7
[2,4,6,5,7,1,3]=>000000=>7
[2,4,6,5,7,3,1]=>000000=>7
[2,4,6,7,1,3,5]=>000000=>7
[2,4,6,7,1,5,3]=>000000=>7
[2,4,6,7,3,1,5]=>000000=>7
[2,4,6,7,3,5,1]=>000000=>7
[2,4,6,7,5,1,3]=>000000=>7
[2,4,6,7,5,3,1]=>000000=>7
[2,4,7,1,3,5,6]=>000000=>7
[2,4,7,1,3,6,5]=>000000=>7
[2,4,7,1,5,3,6]=>000000=>7
[2,4,7,1,5,6,3]=>000000=>7
[2,4,7,1,6,3,5]=>000000=>7
[2,4,7,1,6,5,3]=>000000=>7
[2,4,7,3,1,5,6]=>000000=>7
[2,4,7,3,1,6,5]=>000000=>7
[2,4,7,3,5,1,6]=>000000=>7
[2,4,7,3,5,6,1]=>000000=>7
[2,4,7,3,6,1,5]=>000000=>7
[2,4,7,3,6,5,1]=>000000=>7
[2,4,7,5,1,3,6]=>000000=>7
[2,4,7,5,1,6,3]=>000000=>7
[2,4,7,5,3,1,6]=>000000=>7
[2,4,7,5,3,6,1]=>000000=>7
[2,4,7,5,6,1,3]=>000000=>7
[2,4,7,5,6,3,1]=>000000=>7
[2,4,7,6,1,3,5]=>000000=>7
[2,4,7,6,1,5,3]=>000000=>7
[2,4,7,6,3,1,5]=>000000=>7
[2,4,7,6,3,5,1]=>000000=>7
[2,4,7,6,5,1,3]=>000000=>7
[2,4,7,6,5,3,1]=>000000=>7
[2,5,1,3,4,6,7]=>000011=>5
[2,5,1,3,4,7,6]=>000010=>5
[2,5,1,3,6,4,7]=>000001=>6
[2,5,1,3,6,7,4]=>000000=>7
[2,5,1,3,7,4,6]=>000000=>7
[2,5,1,3,7,6,4]=>000000=>7
[2,5,1,4,3,6,7]=>000011=>5
[2,5,1,4,3,7,6]=>000010=>5
[2,5,1,4,6,3,7]=>000001=>6
[2,5,1,4,6,7,3]=>000000=>7
[2,5,1,4,7,3,6]=>000000=>7
[2,5,1,4,7,6,3]=>000000=>7
[2,5,1,6,3,4,7]=>000001=>6
[2,5,1,6,3,7,4]=>000000=>7
[2,5,1,6,4,3,7]=>000001=>6
[2,5,1,6,4,7,3]=>000000=>7
[2,5,1,6,7,3,4]=>000000=>7
[2,5,1,6,7,4,3]=>000000=>7
[2,5,1,7,3,4,6]=>000000=>7
[2,5,1,7,3,6,4]=>000000=>7
[2,5,1,7,4,3,6]=>000000=>7
[2,5,1,7,4,6,3]=>000000=>7
[2,5,1,7,6,3,4]=>000000=>7
[2,5,1,7,6,4,3]=>000000=>7
[2,5,3,1,4,6,7]=>000011=>5
[2,5,3,1,4,7,6]=>000010=>5
[2,5,3,1,6,4,7]=>000001=>6
[2,5,3,1,6,7,4]=>000000=>7
[2,5,3,1,7,4,6]=>000000=>7
[2,5,3,1,7,6,4]=>000000=>7
[2,5,3,4,1,6,7]=>000011=>5
[2,5,3,4,1,7,6]=>000010=>5
[2,5,3,4,6,1,7]=>000001=>6
[2,5,3,4,6,7,1]=>000000=>7
[2,5,3,4,7,1,6]=>000000=>7
[2,5,3,4,7,6,1]=>000000=>7
[2,5,3,6,1,4,7]=>000001=>6
[2,5,3,6,1,7,4]=>000000=>7
[2,5,3,6,4,1,7]=>000001=>6
[2,5,3,6,4,7,1]=>000000=>7
[2,5,3,6,7,1,4]=>000000=>7
[2,5,3,6,7,4,1]=>000000=>7
[2,5,3,7,1,4,6]=>000000=>7
[2,5,3,7,1,6,4]=>000000=>7
[2,5,3,7,4,1,6]=>000000=>7
[2,5,3,7,4,6,1]=>000000=>7
[2,5,3,7,6,1,4]=>000000=>7
[2,5,3,7,6,4,1]=>000000=>7
[2,5,4,1,3,6,7]=>000011=>5
[2,5,4,1,3,7,6]=>000010=>5
[2,5,4,1,6,3,7]=>000001=>6
[2,5,4,1,6,7,3]=>000000=>7
[2,5,4,1,7,3,6]=>000000=>7
[2,5,4,1,7,6,3]=>000000=>7
[2,5,4,3,1,6,7]=>000011=>5
[2,5,4,3,1,7,6]=>000010=>5
[2,5,4,3,6,1,7]=>000001=>6
[2,5,4,3,6,7,1]=>000000=>7
[2,5,4,3,7,1,6]=>000000=>7
[2,5,4,3,7,6,1]=>000000=>7
[2,5,4,6,1,3,7]=>000001=>6
[2,5,4,6,1,7,3]=>000000=>7
[2,5,4,6,3,1,7]=>000001=>6
[2,5,4,6,3,7,1]=>000000=>7
[2,5,4,6,7,1,3]=>000000=>7
[2,5,4,6,7,3,1]=>000000=>7
[2,5,4,7,1,3,6]=>000000=>7
[2,5,4,7,1,6,3]=>000000=>7
[2,5,4,7,3,1,6]=>000000=>7
[2,5,4,7,3,6,1]=>000000=>7
[2,5,4,7,6,1,3]=>000000=>7
[2,5,4,7,6,3,1]=>000000=>7
[2,5,6,1,3,4,7]=>000001=>6
[2,5,6,1,3,7,4]=>000000=>7
[2,5,6,1,4,3,7]=>000001=>6
[2,5,6,1,4,7,3]=>000000=>7
[2,5,6,1,7,3,4]=>000000=>7
[2,5,6,1,7,4,3]=>000000=>7
[2,5,6,3,1,4,7]=>000001=>6
[2,5,6,3,1,7,4]=>000000=>7
[2,5,6,3,4,1,7]=>000001=>6
[2,5,6,3,4,7,1]=>000000=>7
[2,5,6,3,7,1,4]=>000000=>7
[2,5,6,3,7,4,1]=>000000=>7
[2,5,6,4,1,3,7]=>000001=>6
[2,5,6,4,1,7,3]=>000000=>7
[2,5,6,4,3,1,7]=>000001=>6
[2,5,6,4,3,7,1]=>000000=>7
[2,5,6,4,7,1,3]=>000000=>7
[2,5,6,4,7,3,1]=>000000=>7
[2,5,6,7,1,3,4]=>000000=>7
[2,5,6,7,1,4,3]=>000000=>7
[2,5,6,7,3,1,4]=>000000=>7
[2,5,6,7,3,4,1]=>000000=>7
[2,5,6,7,4,1,3]=>000000=>7
[2,5,6,7,4,3,1]=>000000=>7
[2,5,7,1,3,4,6]=>000000=>7
[2,5,7,1,3,6,4]=>000000=>7
[2,5,7,1,4,3,6]=>000000=>7
[2,5,7,1,4,6,3]=>000000=>7
[2,5,7,1,6,3,4]=>000000=>7
[2,5,7,1,6,4,3]=>000000=>7
[2,5,7,3,1,4,6]=>000000=>7
[2,5,7,3,1,6,4]=>000000=>7
[2,5,7,3,4,1,6]=>000000=>7
[2,5,7,3,4,6,1]=>000000=>7
[2,5,7,3,6,1,4]=>000000=>7
[2,5,7,3,6,4,1]=>000000=>7
[2,5,7,4,1,3,6]=>000000=>7
[2,5,7,4,1,6,3]=>000000=>7
[2,5,7,4,3,1,6]=>000000=>7
[2,5,7,4,3,6,1]=>000000=>7
[2,5,7,4,6,1,3]=>000000=>7
[2,5,7,4,6,3,1]=>000000=>7
[2,5,7,6,1,3,4]=>000000=>7
[2,5,7,6,1,4,3]=>000000=>7
[2,5,7,6,3,1,4]=>000000=>7
[2,5,7,6,3,4,1]=>000000=>7
[2,5,7,6,4,1,3]=>000000=>7
[2,5,7,6,4,3,1]=>000000=>7
[2,6,1,3,4,5,7]=>000001=>6
[2,6,1,3,4,7,5]=>000000=>7
[2,6,1,3,5,4,7]=>000001=>6
[2,6,1,3,5,7,4]=>000000=>7
[2,6,1,3,7,4,5]=>000000=>7
[2,6,1,3,7,5,4]=>000000=>7
[2,6,1,4,3,5,7]=>000001=>6
[2,6,1,4,3,7,5]=>000000=>7
[2,6,1,4,5,3,7]=>000001=>6
[2,6,1,4,5,7,3]=>000000=>7
[2,6,1,4,7,3,5]=>000000=>7
[2,6,1,4,7,5,3]=>000000=>7
[2,6,1,5,3,4,7]=>000001=>6
[2,6,1,5,3,7,4]=>000000=>7
[2,6,1,5,4,3,7]=>000001=>6
[2,6,1,5,4,7,3]=>000000=>7
[2,6,1,5,7,3,4]=>000000=>7
[2,6,1,5,7,4,3]=>000000=>7
[2,6,1,7,3,4,5]=>000000=>7
[2,6,1,7,3,5,4]=>000000=>7
[2,6,1,7,4,3,5]=>000000=>7
[2,6,1,7,4,5,3]=>000000=>7
[2,6,1,7,5,3,4]=>000000=>7
[2,6,1,7,5,4,3]=>000000=>7
[2,6,3,1,4,5,7]=>000001=>6
[2,6,3,1,4,7,5]=>000000=>7
[2,6,3,1,5,4,7]=>000001=>6
[2,6,3,1,5,7,4]=>000000=>7
[2,6,3,1,7,4,5]=>000000=>7
[2,6,3,1,7,5,4]=>000000=>7
[2,6,3,4,1,5,7]=>000001=>6
[2,6,3,4,1,7,5]=>000000=>7
[2,6,3,4,5,1,7]=>000001=>6
[2,6,3,4,5,7,1]=>000000=>7
[2,6,3,4,7,1,5]=>000000=>7
[2,6,3,4,7,5,1]=>000000=>7
[2,6,3,5,1,4,7]=>000001=>6
[2,6,3,5,1,7,4]=>000000=>7
[2,6,3,5,4,1,7]=>000001=>6
[2,6,3,5,4,7,1]=>000000=>7
[2,6,3,5,7,1,4]=>000000=>7
[2,6,3,5,7,4,1]=>000000=>7
[2,6,3,7,1,4,5]=>000000=>7
[2,6,3,7,1,5,4]=>000000=>7
[2,6,3,7,4,1,5]=>000000=>7
[2,6,3,7,4,5,1]=>000000=>7
[2,6,3,7,5,1,4]=>000000=>7
[2,6,3,7,5,4,1]=>000000=>7
[2,6,4,1,3,5,7]=>000001=>6
[2,6,4,1,3,7,5]=>000000=>7
[2,6,4,1,5,3,7]=>000001=>6
[2,6,4,1,5,7,3]=>000000=>7
[2,6,4,1,7,3,5]=>000000=>7
[2,6,4,1,7,5,3]=>000000=>7
[2,6,4,3,1,5,7]=>000001=>6
[2,6,4,3,1,7,5]=>000000=>7
[2,6,4,3,5,1,7]=>000001=>6
[2,6,4,3,5,7,1]=>000000=>7
[2,6,4,3,7,1,5]=>000000=>7
[2,6,4,3,7,5,1]=>000000=>7
[2,6,4,5,1,3,7]=>000001=>6
[2,6,4,5,1,7,3]=>000000=>7
[2,6,4,5,3,1,7]=>000001=>6
[2,6,4,5,3,7,1]=>000000=>7
[2,6,4,5,7,1,3]=>000000=>7
[2,6,4,5,7,3,1]=>000000=>7
[2,6,4,7,1,3,5]=>000000=>7
[2,6,4,7,1,5,3]=>000000=>7
[2,6,4,7,3,1,5]=>000000=>7
[2,6,4,7,3,5,1]=>000000=>7
[2,6,4,7,5,1,3]=>000000=>7
[2,6,4,7,5,3,1]=>000000=>7
[2,6,5,1,3,4,7]=>000001=>6
[2,6,5,1,3,7,4]=>000000=>7
[2,6,5,1,4,3,7]=>000001=>6
[2,6,5,1,4,7,3]=>000000=>7
[2,6,5,1,7,3,4]=>000000=>7
[2,6,5,1,7,4,3]=>000000=>7
[2,6,5,3,1,4,7]=>000001=>6
[2,6,5,3,1,7,4]=>000000=>7
[2,6,5,3,4,1,7]=>000001=>6
[2,6,5,3,4,7,1]=>000000=>7
[2,6,5,3,7,1,4]=>000000=>7
[2,6,5,3,7,4,1]=>000000=>7
[2,6,5,4,1,3,7]=>000001=>6
[2,6,5,4,1,7,3]=>000000=>7
[2,6,5,4,3,1,7]=>000001=>6
[2,6,5,4,3,7,1]=>000000=>7
[2,6,5,4,7,1,3]=>000000=>7
[2,6,5,4,7,3,1]=>000000=>7
[2,6,5,7,1,3,4]=>000000=>7
[2,6,5,7,1,4,3]=>000000=>7
[2,6,5,7,3,1,4]=>000000=>7
[2,6,5,7,3,4,1]=>000000=>7
[2,6,5,7,4,1,3]=>000000=>7
[2,6,5,7,4,3,1]=>000000=>7
[2,6,7,1,3,4,5]=>000000=>7
[2,6,7,1,3,5,4]=>000000=>7
[2,6,7,1,4,3,5]=>000000=>7
[2,6,7,1,4,5,3]=>000000=>7
[2,6,7,1,5,3,4]=>000000=>7
[2,6,7,1,5,4,3]=>000000=>7
[2,6,7,3,1,4,5]=>000000=>7
[2,6,7,3,1,5,4]=>000000=>7
[2,6,7,3,4,1,5]=>000000=>7
[2,6,7,3,4,5,1]=>000000=>7
[2,6,7,3,5,1,4]=>000000=>7
[2,6,7,3,5,4,1]=>000000=>7
[2,6,7,4,1,3,5]=>000000=>7
[2,6,7,4,1,5,3]=>000000=>7
[2,6,7,4,3,1,5]=>000000=>7
[2,6,7,4,3,5,1]=>000000=>7
[2,6,7,4,5,1,3]=>000000=>7
[2,6,7,4,5,3,1]=>000000=>7
[2,6,7,5,1,3,4]=>000000=>7
[2,6,7,5,1,4,3]=>000000=>7
[2,6,7,5,3,1,4]=>000000=>7
[2,6,7,5,3,4,1]=>000000=>7
[2,6,7,5,4,1,3]=>000000=>7
[2,6,7,5,4,3,1]=>000000=>7
[2,7,1,3,4,5,6]=>000000=>7
[2,7,1,3,4,6,5]=>000000=>7
[2,7,1,3,5,4,6]=>000000=>7
[2,7,1,3,5,6,4]=>000000=>7
[2,7,1,3,6,4,5]=>000000=>7
[2,7,1,3,6,5,4]=>000000=>7
[2,7,1,4,3,5,6]=>000000=>7
[2,7,1,4,3,6,5]=>000000=>7
[2,7,1,4,5,3,6]=>000000=>7
[2,7,1,4,5,6,3]=>000000=>7
[2,7,1,4,6,3,5]=>000000=>7
[2,7,1,4,6,5,3]=>000000=>7
[2,7,1,5,3,4,6]=>000000=>7
[2,7,1,5,3,6,4]=>000000=>7
[2,7,1,5,4,3,6]=>000000=>7
[2,7,1,5,4,6,3]=>000000=>7
[2,7,1,5,6,3,4]=>000000=>7
[2,7,1,5,6,4,3]=>000000=>7
[2,7,1,6,3,4,5]=>000000=>7
[2,7,1,6,3,5,4]=>000000=>7
[2,7,1,6,4,3,5]=>000000=>7
[2,7,1,6,4,5,3]=>000000=>7
[2,7,1,6,5,3,4]=>000000=>7
[2,7,1,6,5,4,3]=>000000=>7
[2,7,3,1,4,5,6]=>000000=>7
[2,7,3,1,4,6,5]=>000000=>7
[2,7,3,1,5,4,6]=>000000=>7
[2,7,3,1,5,6,4]=>000000=>7
[2,7,3,1,6,4,5]=>000000=>7
[2,7,3,1,6,5,4]=>000000=>7
[2,7,3,4,1,5,6]=>000000=>7
[2,7,3,4,1,6,5]=>000000=>7
[2,7,3,4,5,1,6]=>000000=>7
[2,7,3,4,5,6,1]=>000000=>7
[2,7,3,4,6,1,5]=>000000=>7
[2,7,3,4,6,5,1]=>000000=>7
[2,7,3,5,1,4,6]=>000000=>7
[2,7,3,5,1,6,4]=>000000=>7
[2,7,3,5,4,1,6]=>000000=>7
[2,7,3,5,4,6,1]=>000000=>7
[2,7,3,5,6,1,4]=>000000=>7
[2,7,3,5,6,4,1]=>000000=>7
[2,7,3,6,1,4,5]=>000000=>7
[2,7,3,6,1,5,4]=>000000=>7
[2,7,3,6,4,1,5]=>000000=>7
[2,7,3,6,4,5,1]=>000000=>7
[2,7,3,6,5,1,4]=>000000=>7
[2,7,3,6,5,4,1]=>000000=>7
[2,7,4,1,3,5,6]=>000000=>7
[2,7,4,1,3,6,5]=>000000=>7
[2,7,4,1,5,3,6]=>000000=>7
[2,7,4,1,5,6,3]=>000000=>7
[2,7,4,1,6,3,5]=>000000=>7
[2,7,4,1,6,5,3]=>000000=>7
[2,7,4,3,1,5,6]=>000000=>7
[2,7,4,3,1,6,5]=>000000=>7
[2,7,4,3,5,1,6]=>000000=>7
[2,7,4,3,5,6,1]=>000000=>7
[2,7,4,3,6,1,5]=>000000=>7
[2,7,4,3,6,5,1]=>000000=>7
[2,7,4,5,1,3,6]=>000000=>7
[2,7,4,5,1,6,3]=>000000=>7
[2,7,4,5,3,1,6]=>000000=>7
[2,7,4,5,3,6,1]=>000000=>7
[2,7,4,5,6,1,3]=>000000=>7
[2,7,4,5,6,3,1]=>000000=>7
[2,7,4,6,1,3,5]=>000000=>7
[2,7,4,6,1,5,3]=>000000=>7
[2,7,4,6,3,1,5]=>000000=>7
[2,7,4,6,3,5,1]=>000000=>7
[2,7,4,6,5,1,3]=>000000=>7
[2,7,4,6,5,3,1]=>000000=>7
[2,7,5,1,3,4,6]=>000000=>7
[2,7,5,1,3,6,4]=>000000=>7
[2,7,5,1,4,3,6]=>000000=>7
[2,7,5,1,4,6,3]=>000000=>7
[2,7,5,1,6,3,4]=>000000=>7
[2,7,5,1,6,4,3]=>000000=>7
[2,7,5,3,1,4,6]=>000000=>7
[2,7,5,3,1,6,4]=>000000=>7
[2,7,5,3,4,1,6]=>000000=>7
[2,7,5,3,4,6,1]=>000000=>7
[2,7,5,3,6,1,4]=>000000=>7
[2,7,5,3,6,4,1]=>000000=>7
[2,7,5,4,1,3,6]=>000000=>7
[2,7,5,4,1,6,3]=>000000=>7
[2,7,5,4,3,1,6]=>000000=>7
[2,7,5,4,3,6,1]=>000000=>7
[2,7,5,4,6,1,3]=>000000=>7
[2,7,5,4,6,3,1]=>000000=>7
[2,7,5,6,1,3,4]=>000000=>7
[2,7,5,6,1,4,3]=>000000=>7
[2,7,5,6,3,1,4]=>000000=>7
[2,7,5,6,3,4,1]=>000000=>7
[2,7,5,6,4,1,3]=>000000=>7
[2,7,5,6,4,3,1]=>000000=>7
[2,7,6,1,3,4,5]=>000000=>7
[2,7,6,1,3,5,4]=>000000=>7
[2,7,6,1,4,3,5]=>000000=>7
[2,7,6,1,4,5,3]=>000000=>7
[2,7,6,1,5,3,4]=>000000=>7
[2,7,6,1,5,4,3]=>000000=>7
[2,7,6,3,1,4,5]=>000000=>7
[2,7,6,3,1,5,4]=>000000=>7
[2,7,6,3,4,1,5]=>000000=>7
[2,7,6,3,4,5,1]=>000000=>7
[2,7,6,3,5,1,4]=>000000=>7
[2,7,6,3,5,4,1]=>000000=>7
[2,7,6,4,1,3,5]=>000000=>7
[2,7,6,4,1,5,3]=>000000=>7
[2,7,6,4,3,1,5]=>000000=>7
[2,7,6,4,3,5,1]=>000000=>7
[2,7,6,4,5,1,3]=>000000=>7
[2,7,6,4,5,3,1]=>000000=>7
[2,7,6,5,1,3,4]=>000000=>7
[2,7,6,5,1,4,3]=>000000=>7
[2,7,6,5,3,1,4]=>000000=>7
[2,7,6,5,3,4,1]=>000000=>7
[2,7,6,5,4,1,3]=>000000=>7
[2,7,6,5,4,3,1]=>000000=>7
[3,1,2,4,5,6,7]=>001111=>3
[3,1,2,4,5,7,6]=>001110=>3
[3,1,2,4,6,5,7]=>001101=>3
[3,1,2,4,6,7,5]=>001100=>3
[3,1,2,4,7,5,6]=>001100=>3
[3,1,2,4,7,6,5]=>001100=>3
[3,1,2,5,4,6,7]=>001011=>3
[3,1,2,5,4,7,6]=>001010=>3
[3,1,2,5,6,4,7]=>001001=>3
[3,1,2,5,6,7,4]=>001000=>3
[3,1,2,5,7,4,6]=>001000=>3
[3,1,2,5,7,6,4]=>001000=>3
[3,1,2,6,4,5,7]=>001001=>3
[3,1,2,6,4,7,5]=>001000=>3
[3,1,2,6,5,4,7]=>001001=>3
[3,1,2,6,5,7,4]=>001000=>3
[3,1,2,6,7,4,5]=>001000=>3
[3,1,2,6,7,5,4]=>001000=>3
[3,1,2,7,4,5,6]=>001000=>3
[3,1,2,7,4,6,5]=>001000=>3
[3,1,2,7,5,4,6]=>001000=>3
[3,1,2,7,5,6,4]=>001000=>3
[3,1,2,7,6,4,5]=>001000=>3
[3,1,2,7,6,5,4]=>001000=>3
[3,1,4,2,5,6,7]=>000111=>4
[3,1,4,2,5,7,6]=>000110=>4
[3,1,4,2,6,5,7]=>000101=>4
[3,1,4,2,6,7,5]=>000100=>4
[3,1,4,2,7,5,6]=>000100=>4
[3,1,4,2,7,6,5]=>000100=>4
[3,1,4,5,2,6,7]=>000011=>5
[3,1,4,5,2,7,6]=>000010=>5
[3,1,4,5,6,2,7]=>000001=>6
[3,1,4,5,6,7,2]=>000000=>7
[3,1,4,5,7,2,6]=>000000=>7
[3,1,4,5,7,6,2]=>000000=>7
[3,1,4,6,2,5,7]=>000001=>6
[3,1,4,6,2,7,5]=>000000=>7
[3,1,4,6,5,2,7]=>000001=>6
[3,1,4,6,5,7,2]=>000000=>7
[3,1,4,6,7,2,5]=>000000=>7
[3,1,4,6,7,5,2]=>000000=>7
[3,1,4,7,2,5,6]=>000000=>7
[3,1,4,7,2,6,5]=>000000=>7
[3,1,4,7,5,2,6]=>000000=>7
[3,1,4,7,5,6,2]=>000000=>7
[3,1,4,7,6,2,5]=>000000=>7
[3,1,4,7,6,5,2]=>000000=>7
[3,1,5,2,4,6,7]=>000011=>5
[3,1,5,2,4,7,6]=>000010=>5
[3,1,5,2,6,4,7]=>000001=>6
[3,1,5,2,6,7,4]=>000000=>7
[3,1,5,2,7,4,6]=>000000=>7
[3,1,5,2,7,6,4]=>000000=>7
[3,1,5,4,2,6,7]=>000011=>5
[3,1,5,4,2,7,6]=>000010=>5
[3,1,5,4,6,2,7]=>000001=>6
[3,1,5,4,6,7,2]=>000000=>7
[3,1,5,4,7,2,6]=>000000=>7
[3,1,5,4,7,6,2]=>000000=>7
[3,1,5,6,2,4,7]=>000001=>6
[3,1,5,6,2,7,4]=>000000=>7
[3,1,5,6,4,2,7]=>000001=>6
[3,1,5,6,4,7,2]=>000000=>7
[3,1,5,6,7,2,4]=>000000=>7
[3,1,5,6,7,4,2]=>000000=>7
[3,1,5,7,2,4,6]=>000000=>7
[3,1,5,7,2,6,4]=>000000=>7
[3,1,5,7,4,2,6]=>000000=>7
[3,1,5,7,4,6,2]=>000000=>7
[3,1,5,7,6,2,4]=>000000=>7
[3,1,5,7,6,4,2]=>000000=>7
[3,1,6,2,4,5,7]=>000001=>6
[3,1,6,2,4,7,5]=>000000=>7
[3,1,6,2,5,4,7]=>000001=>6
[3,1,6,2,5,7,4]=>000000=>7
[3,1,6,2,7,4,5]=>000000=>7
[3,1,6,2,7,5,4]=>000000=>7
[3,1,6,4,2,5,7]=>000001=>6
[3,1,6,4,2,7,5]=>000000=>7
[3,1,6,4,5,2,7]=>000001=>6
[3,1,6,4,5,7,2]=>000000=>7
[3,1,6,4,7,2,5]=>000000=>7
[3,1,6,4,7,5,2]=>000000=>7
[3,1,6,5,2,4,7]=>000001=>6
[3,1,6,5,2,7,4]=>000000=>7
[3,1,6,5,4,2,7]=>000001=>6
[3,1,6,5,4,7,2]=>000000=>7
[3,1,6,5,7,2,4]=>000000=>7
[3,1,6,5,7,4,2]=>000000=>7
[3,1,6,7,2,4,5]=>000000=>7
[3,1,6,7,2,5,4]=>000000=>7
[3,1,6,7,4,2,5]=>000000=>7
[3,1,6,7,4,5,2]=>000000=>7
[3,1,6,7,5,2,4]=>000000=>7
[3,1,6,7,5,4,2]=>000000=>7
[3,1,7,2,4,5,6]=>000000=>7
[3,1,7,2,4,6,5]=>000000=>7
[3,1,7,2,5,4,6]=>000000=>7
[3,1,7,2,5,6,4]=>000000=>7
[3,1,7,2,6,4,5]=>000000=>7
[3,1,7,2,6,5,4]=>000000=>7
[3,1,7,4,2,5,6]=>000000=>7
[3,1,7,4,2,6,5]=>000000=>7
[3,1,7,4,5,2,6]=>000000=>7
[3,1,7,4,5,6,2]=>000000=>7
[3,1,7,4,6,2,5]=>000000=>7
[3,1,7,4,6,5,2]=>000000=>7
[3,1,7,5,2,4,6]=>000000=>7
[3,1,7,5,2,6,4]=>000000=>7
[3,1,7,5,4,2,6]=>000000=>7
[3,1,7,5,4,6,2]=>000000=>7
[3,1,7,5,6,2,4]=>000000=>7
[3,1,7,5,6,4,2]=>000000=>7
[3,1,7,6,2,4,5]=>000000=>7
[3,1,7,6,2,5,4]=>000000=>7
[3,1,7,6,4,2,5]=>000000=>7
[3,1,7,6,4,5,2]=>000000=>7
[3,1,7,6,5,2,4]=>000000=>7
[3,1,7,6,5,4,2]=>000000=>7
[3,2,1,4,5,6,7]=>001111=>3
[3,2,1,4,5,7,6]=>001110=>3
[3,2,1,4,6,5,7]=>001101=>3
[3,2,1,4,6,7,5]=>001100=>3
[3,2,1,4,7,5,6]=>001100=>3
[3,2,1,4,7,6,5]=>001100=>3
[3,2,1,5,4,6,7]=>001011=>3
[3,2,1,5,4,7,6]=>001010=>3
[3,2,1,5,6,4,7]=>001001=>3
[3,2,1,5,6,7,4]=>001000=>3
[3,2,1,5,7,4,6]=>001000=>3
[3,2,1,5,7,6,4]=>001000=>3
[3,2,1,6,4,5,7]=>001001=>3
[3,2,1,6,4,7,5]=>001000=>3
[3,2,1,6,5,4,7]=>001001=>3
[3,2,1,6,5,7,4]=>001000=>3
[3,2,1,6,7,4,5]=>001000=>3
[3,2,1,6,7,5,4]=>001000=>3
[3,2,1,7,4,5,6]=>001000=>3
[3,2,1,7,4,6,5]=>001000=>3
[3,2,1,7,5,4,6]=>001000=>3
[3,2,1,7,5,6,4]=>001000=>3
[3,2,1,7,6,4,5]=>001000=>3
[3,2,1,7,6,5,4]=>001000=>3
[3,2,4,1,5,6,7]=>000111=>4
[3,2,4,1,5,7,6]=>000110=>4
[3,2,4,1,6,5,7]=>000101=>4
[3,2,4,1,6,7,5]=>000100=>4
[3,2,4,1,7,5,6]=>000100=>4
[3,2,4,1,7,6,5]=>000100=>4
[3,2,4,5,1,6,7]=>000011=>5
[3,2,4,5,1,7,6]=>000010=>5
[3,2,4,5,6,1,7]=>000001=>6
[3,2,4,5,6,7,1]=>000000=>7
[3,2,4,5,7,1,6]=>000000=>7
[3,2,4,5,7,6,1]=>000000=>7
[3,2,4,6,1,5,7]=>000001=>6
[3,2,4,6,1,7,5]=>000000=>7
[3,2,4,6,5,1,7]=>000001=>6
[3,2,4,6,5,7,1]=>000000=>7
[3,2,4,6,7,1,5]=>000000=>7
[3,2,4,6,7,5,1]=>000000=>7
[3,2,4,7,1,5,6]=>000000=>7
[3,2,4,7,1,6,5]=>000000=>7
[3,2,4,7,5,1,6]=>000000=>7
[3,2,4,7,5,6,1]=>000000=>7
[3,2,4,7,6,1,5]=>000000=>7
[3,2,4,7,6,5,1]=>000000=>7
[3,2,5,1,4,6,7]=>000011=>5
[3,2,5,1,4,7,6]=>000010=>5
[3,2,5,1,6,4,7]=>000001=>6
[3,2,5,1,6,7,4]=>000000=>7
[3,2,5,1,7,4,6]=>000000=>7
[3,2,5,1,7,6,4]=>000000=>7
[3,2,5,4,1,6,7]=>000011=>5
[3,2,5,4,1,7,6]=>000010=>5
[3,2,5,4,6,1,7]=>000001=>6
[3,2,5,4,6,7,1]=>000000=>7
[3,2,5,4,7,1,6]=>000000=>7
[3,2,5,4,7,6,1]=>000000=>7
[3,2,5,6,1,4,7]=>000001=>6
[3,2,5,6,1,7,4]=>000000=>7
[3,2,5,6,4,1,7]=>000001=>6
[3,2,5,6,4,7,1]=>000000=>7
[3,2,5,6,7,1,4]=>000000=>7
[3,2,5,6,7,4,1]=>000000=>7
[3,2,5,7,1,4,6]=>000000=>7
[3,2,5,7,1,6,4]=>000000=>7
[3,2,5,7,4,1,6]=>000000=>7
[3,2,5,7,4,6,1]=>000000=>7
[3,2,5,7,6,1,4]=>000000=>7
[3,2,5,7,6,4,1]=>000000=>7
[3,2,6,1,4,5,7]=>000001=>6
[3,2,6,1,4,7,5]=>000000=>7
[3,2,6,1,5,4,7]=>000001=>6
[3,2,6,1,5,7,4]=>000000=>7
[3,2,6,1,7,4,5]=>000000=>7
[3,2,6,1,7,5,4]=>000000=>7
[3,2,6,4,1,5,7]=>000001=>6
[3,2,6,4,1,7,5]=>000000=>7
[3,2,6,4,5,1,7]=>000001=>6
[3,2,6,4,5,7,1]=>000000=>7
[3,2,6,4,7,1,5]=>000000=>7
[3,2,6,4,7,5,1]=>000000=>7
[3,2,6,5,1,4,7]=>000001=>6
[3,2,6,5,1,7,4]=>000000=>7
[3,2,6,5,4,1,7]=>000001=>6
[3,2,6,5,4,7,1]=>000000=>7
[3,2,6,5,7,1,4]=>000000=>7
[3,2,6,5,7,4,1]=>000000=>7
[3,2,6,7,1,4,5]=>000000=>7
[3,2,6,7,1,5,4]=>000000=>7
[3,2,6,7,4,1,5]=>000000=>7
[3,2,6,7,4,5,1]=>000000=>7
[3,2,6,7,5,1,4]=>000000=>7
[3,2,6,7,5,4,1]=>000000=>7
[3,2,7,1,4,5,6]=>000000=>7
[3,2,7,1,4,6,5]=>000000=>7
[3,2,7,1,5,4,6]=>000000=>7
[3,2,7,1,5,6,4]=>000000=>7
[3,2,7,1,6,4,5]=>000000=>7
[3,2,7,1,6,5,4]=>000000=>7
[3,2,7,4,1,5,6]=>000000=>7
[3,2,7,4,1,6,5]=>000000=>7
[3,2,7,4,5,1,6]=>000000=>7
[3,2,7,4,5,6,1]=>000000=>7
[3,2,7,4,6,1,5]=>000000=>7
[3,2,7,4,6,5,1]=>000000=>7
[3,2,7,5,1,4,6]=>000000=>7
[3,2,7,5,1,6,4]=>000000=>7
[3,2,7,5,4,1,6]=>000000=>7
[3,2,7,5,4,6,1]=>000000=>7
[3,2,7,5,6,1,4]=>000000=>7
[3,2,7,5,6,4,1]=>000000=>7
[3,2,7,6,1,4,5]=>000000=>7
[3,2,7,6,1,5,4]=>000000=>7
[3,2,7,6,4,1,5]=>000000=>7
[3,2,7,6,4,5,1]=>000000=>7
[3,2,7,6,5,1,4]=>000000=>7
[3,2,7,6,5,4,1]=>000000=>7
[3,4,1,2,5,6,7]=>000111=>4
[3,4,1,2,5,7,6]=>000110=>4
[3,4,1,2,6,5,7]=>000101=>4
[3,4,1,2,6,7,5]=>000100=>4
[3,4,1,2,7,5,6]=>000100=>4
[3,4,1,2,7,6,5]=>000100=>4
[3,4,1,5,2,6,7]=>000011=>5
[3,4,1,5,2,7,6]=>000010=>5
[3,4,1,5,6,2,7]=>000001=>6
[3,4,1,5,6,7,2]=>000000=>7
[3,4,1,5,7,2,6]=>000000=>7
[3,4,1,5,7,6,2]=>000000=>7
[3,4,1,6,2,5,7]=>000001=>6
[3,4,1,6,2,7,5]=>000000=>7
[3,4,1,6,5,2,7]=>000001=>6
[3,4,1,6,5,7,2]=>000000=>7
[3,4,1,6,7,2,5]=>000000=>7
[3,4,1,6,7,5,2]=>000000=>7
[3,4,1,7,2,5,6]=>000000=>7
[3,4,1,7,2,6,5]=>000000=>7
[3,4,1,7,5,2,6]=>000000=>7
[3,4,1,7,5,6,2]=>000000=>7
[3,4,1,7,6,2,5]=>000000=>7
[3,4,1,7,6,5,2]=>000000=>7
[3,4,2,1,5,6,7]=>000111=>4
[3,4,2,1,5,7,6]=>000110=>4
[3,4,2,1,6,5,7]=>000101=>4
[3,4,2,1,6,7,5]=>000100=>4
[3,4,2,1,7,5,6]=>000100=>4
[3,4,2,1,7,6,5]=>000100=>4
[3,4,2,5,1,6,7]=>000011=>5
[3,4,2,5,1,7,6]=>000010=>5
[3,4,2,5,6,1,7]=>000001=>6
[3,4,2,5,6,7,1]=>000000=>7
[3,4,2,5,7,1,6]=>000000=>7
[3,4,2,5,7,6,1]=>000000=>7
[3,4,2,6,1,5,7]=>000001=>6
[3,4,2,6,1,7,5]=>000000=>7
[3,4,2,6,5,1,7]=>000001=>6
[3,4,2,6,5,7,1]=>000000=>7
[3,4,2,6,7,1,5]=>000000=>7
[3,4,2,6,7,5,1]=>000000=>7
[3,4,2,7,1,5,6]=>000000=>7
[3,4,2,7,1,6,5]=>000000=>7
[3,4,2,7,5,1,6]=>000000=>7
[3,4,2,7,5,6,1]=>000000=>7
[3,4,2,7,6,1,5]=>000000=>7
[3,4,2,7,6,5,1]=>000000=>7
[3,4,5,1,2,6,7]=>000011=>5
[3,4,5,1,2,7,6]=>000010=>5
[3,4,5,1,6,2,7]=>000001=>6
[3,4,5,1,6,7,2]=>000000=>7
[3,4,5,1,7,2,6]=>000000=>7
[3,4,5,1,7,6,2]=>000000=>7
[3,4,5,2,1,6,7]=>000011=>5
[3,4,5,2,1,7,6]=>000010=>5
[3,4,5,2,6,1,7]=>000001=>6
[3,4,5,2,6,7,1]=>000000=>7
[3,4,5,2,7,1,6]=>000000=>7
[3,4,5,2,7,6,1]=>000000=>7
[3,4,5,6,1,2,7]=>000001=>6
[3,4,5,6,1,7,2]=>000000=>7
[3,4,5,6,2,1,7]=>000001=>6
[3,4,5,6,2,7,1]=>000000=>7
[3,4,5,6,7,1,2]=>000000=>7
[3,4,5,6,7,2,1]=>000000=>7
[3,4,5,7,1,2,6]=>000000=>7
[3,4,5,7,1,6,2]=>000000=>7
[3,4,5,7,2,1,6]=>000000=>7
[3,4,5,7,2,6,1]=>000000=>7
[3,4,5,7,6,1,2]=>000000=>7
[3,4,5,7,6,2,1]=>000000=>7
[3,4,6,1,2,5,7]=>000001=>6
[3,4,6,1,2,7,5]=>000000=>7
[3,4,6,1,5,2,7]=>000001=>6
[3,4,6,1,5,7,2]=>000000=>7
[3,4,6,1,7,2,5]=>000000=>7
[3,4,6,1,7,5,2]=>000000=>7
[3,4,6,2,1,5,7]=>000001=>6
[3,4,6,2,1,7,5]=>000000=>7
[3,4,6,2,5,1,7]=>000001=>6
[3,4,6,2,5,7,1]=>000000=>7
[3,4,6,2,7,1,5]=>000000=>7
[3,4,6,2,7,5,1]=>000000=>7
[3,4,6,5,1,2,7]=>000001=>6
[3,4,6,5,1,7,2]=>000000=>7
[3,4,6,5,2,1,7]=>000001=>6
[3,4,6,5,2,7,1]=>000000=>7
[3,4,6,5,7,1,2]=>000000=>7
[3,4,6,5,7,2,1]=>000000=>7
[3,4,6,7,1,2,5]=>000000=>7
[3,4,6,7,1,5,2]=>000000=>7
[3,4,6,7,2,1,5]=>000000=>7
[3,4,6,7,2,5,1]=>000000=>7
[3,4,6,7,5,1,2]=>000000=>7
[3,4,6,7,5,2,1]=>000000=>7
[3,4,7,1,2,5,6]=>000000=>7
[3,4,7,1,2,6,5]=>000000=>7
[3,4,7,1,5,2,6]=>000000=>7
[3,4,7,1,5,6,2]=>000000=>7
[3,4,7,1,6,2,5]=>000000=>7
[3,4,7,1,6,5,2]=>000000=>7
[3,4,7,2,1,5,6]=>000000=>7
[3,4,7,2,1,6,5]=>000000=>7
[3,4,7,2,5,1,6]=>000000=>7
[3,4,7,2,5,6,1]=>000000=>7
[3,4,7,2,6,1,5]=>000000=>7
[3,4,7,2,6,5,1]=>000000=>7
[3,4,7,5,1,2,6]=>000000=>7
[3,4,7,5,1,6,2]=>000000=>7
[3,4,7,5,2,1,6]=>000000=>7
[3,4,7,5,2,6,1]=>000000=>7
[3,4,7,5,6,1,2]=>000000=>7
[3,4,7,5,6,2,1]=>000000=>7
[3,4,7,6,1,2,5]=>000000=>7
[3,4,7,6,1,5,2]=>000000=>7
[3,4,7,6,2,1,5]=>000000=>7
[3,4,7,6,2,5,1]=>000000=>7
[3,4,7,6,5,1,2]=>000000=>7
[3,4,7,6,5,2,1]=>000000=>7
[3,5,1,2,4,6,7]=>000011=>5
[3,5,1,2,4,7,6]=>000010=>5
[3,5,1,2,6,4,7]=>000001=>6
[3,5,1,2,6,7,4]=>000000=>7
[3,5,1,2,7,4,6]=>000000=>7
[3,5,1,2,7,6,4]=>000000=>7
[3,5,1,4,2,6,7]=>000011=>5
[3,5,1,4,2,7,6]=>000010=>5
[3,5,1,4,6,2,7]=>000001=>6
[3,5,1,4,6,7,2]=>000000=>7
[3,5,1,4,7,2,6]=>000000=>7
[3,5,1,4,7,6,2]=>000000=>7
[3,5,1,6,2,4,7]=>000001=>6
[3,5,1,6,2,7,4]=>000000=>7
[3,5,1,6,4,2,7]=>000001=>6
[3,5,1,6,4,7,2]=>000000=>7
[3,5,1,6,7,2,4]=>000000=>7
[3,5,1,6,7,4,2]=>000000=>7
[3,5,1,7,2,4,6]=>000000=>7
[3,5,1,7,2,6,4]=>000000=>7
[3,5,1,7,4,2,6]=>000000=>7
[3,5,1,7,4,6,2]=>000000=>7
[3,5,1,7,6,2,4]=>000000=>7
[3,5,1,7,6,4,2]=>000000=>7
[3,5,2,1,4,6,7]=>000011=>5
[3,5,2,1,4,7,6]=>000010=>5
[3,5,2,1,6,4,7]=>000001=>6
[3,5,2,1,6,7,4]=>000000=>7
[3,5,2,1,7,4,6]=>000000=>7
[3,5,2,1,7,6,4]=>000000=>7
[3,5,2,4,1,6,7]=>000011=>5
[3,5,2,4,1,7,6]=>000010=>5
[3,5,2,4,6,1,7]=>000001=>6
[3,5,2,4,6,7,1]=>000000=>7
[3,5,2,4,7,1,6]=>000000=>7
[3,5,2,4,7,6,1]=>000000=>7
[3,5,2,6,1,4,7]=>000001=>6
[3,5,2,6,1,7,4]=>000000=>7
[3,5,2,6,4,1,7]=>000001=>6
[3,5,2,6,4,7,1]=>000000=>7
[3,5,2,6,7,1,4]=>000000=>7
[3,5,2,6,7,4,1]=>000000=>7
[3,5,2,7,1,4,6]=>000000=>7
[3,5,2,7,1,6,4]=>000000=>7
[3,5,2,7,4,1,6]=>000000=>7
[3,5,2,7,4,6,1]=>000000=>7
[3,5,2,7,6,1,4]=>000000=>7
[3,5,2,7,6,4,1]=>000000=>7
[3,5,4,1,2,6,7]=>000011=>5
[3,5,4,1,2,7,6]=>000010=>5
[3,5,4,1,6,2,7]=>000001=>6
[3,5,4,1,6,7,2]=>000000=>7
[3,5,4,1,7,2,6]=>000000=>7
[3,5,4,1,7,6,2]=>000000=>7
[3,5,4,2,1,6,7]=>000011=>5
[3,5,4,2,1,7,6]=>000010=>5
[3,5,4,2,6,1,7]=>000001=>6
[3,5,4,2,6,7,1]=>000000=>7
[3,5,4,2,7,1,6]=>000000=>7
[3,5,4,2,7,6,1]=>000000=>7
[3,5,4,6,1,2,7]=>000001=>6
[3,5,4,6,1,7,2]=>000000=>7
[3,5,4,6,2,1,7]=>000001=>6
[3,5,4,6,2,7,1]=>000000=>7
[3,5,4,6,7,1,2]=>000000=>7
[3,5,4,6,7,2,1]=>000000=>7
[3,5,4,7,1,2,6]=>000000=>7
[3,5,4,7,1,6,2]=>000000=>7
[3,5,4,7,2,1,6]=>000000=>7
[3,5,4,7,2,6,1]=>000000=>7
[3,5,4,7,6,1,2]=>000000=>7
[3,5,4,7,6,2,1]=>000000=>7
[3,5,6,1,2,4,7]=>000001=>6
[3,5,6,1,2,7,4]=>000000=>7
[3,5,6,1,4,2,7]=>000001=>6
[3,5,6,1,4,7,2]=>000000=>7
[3,5,6,1,7,2,4]=>000000=>7
[3,5,6,1,7,4,2]=>000000=>7
[3,5,6,2,1,4,7]=>000001=>6
[3,5,6,2,1,7,4]=>000000=>7
[3,5,6,2,4,1,7]=>000001=>6
[3,5,6,2,4,7,1]=>000000=>7
[3,5,6,2,7,1,4]=>000000=>7
[3,5,6,2,7,4,1]=>000000=>7
[3,5,6,4,1,2,7]=>000001=>6
[3,5,6,4,1,7,2]=>000000=>7
[3,5,6,4,2,1,7]=>000001=>6
[3,5,6,4,2,7,1]=>000000=>7
[3,5,6,4,7,1,2]=>000000=>7
[3,5,6,4,7,2,1]=>000000=>7
[3,5,6,7,1,2,4]=>000000=>7
[3,5,6,7,1,4,2]=>000000=>7
[3,5,6,7,2,1,4]=>000000=>7
[3,5,6,7,2,4,1]=>000000=>7
[3,5,6,7,4,1,2]=>000000=>7
[3,5,6,7,4,2,1]=>000000=>7
[3,5,7,1,2,4,6]=>000000=>7
[3,5,7,1,2,6,4]=>000000=>7
[3,5,7,1,4,2,6]=>000000=>7
[3,5,7,1,4,6,2]=>000000=>7
[3,5,7,1,6,2,4]=>000000=>7
[3,5,7,1,6,4,2]=>000000=>7
[3,5,7,2,1,4,6]=>000000=>7
[3,5,7,2,1,6,4]=>000000=>7
[3,5,7,2,4,1,6]=>000000=>7
[3,5,7,2,4,6,1]=>000000=>7
[3,5,7,2,6,1,4]=>000000=>7
[3,5,7,2,6,4,1]=>000000=>7
[3,5,7,4,1,2,6]=>000000=>7
[3,5,7,4,1,6,2]=>000000=>7
[3,5,7,4,2,1,6]=>000000=>7
[3,5,7,4,2,6,1]=>000000=>7
[3,5,7,4,6,1,2]=>000000=>7
[3,5,7,4,6,2,1]=>000000=>7
[3,5,7,6,1,2,4]=>000000=>7
[3,5,7,6,1,4,2]=>000000=>7
[3,5,7,6,2,1,4]=>000000=>7
[3,5,7,6,2,4,1]=>000000=>7
[3,5,7,6,4,1,2]=>000000=>7
[3,5,7,6,4,2,1]=>000000=>7
[3,6,1,2,4,5,7]=>000001=>6
[3,6,1,2,4,7,5]=>000000=>7
[3,6,1,2,5,4,7]=>000001=>6
[3,6,1,2,5,7,4]=>000000=>7
[3,6,1,2,7,4,5]=>000000=>7
[3,6,1,2,7,5,4]=>000000=>7
[3,6,1,4,2,5,7]=>000001=>6
[3,6,1,4,2,7,5]=>000000=>7
[3,6,1,4,5,2,7]=>000001=>6
[3,6,1,4,5,7,2]=>000000=>7
[3,6,1,4,7,2,5]=>000000=>7
[3,6,1,4,7,5,2]=>000000=>7
[3,6,1,5,2,4,7]=>000001=>6
[3,6,1,5,2,7,4]=>000000=>7
[3,6,1,5,4,2,7]=>000001=>6
[3,6,1,5,4,7,2]=>000000=>7
[3,6,1,5,7,2,4]=>000000=>7
[3,6,1,5,7,4,2]=>000000=>7
[3,6,1,7,2,4,5]=>000000=>7
[3,6,1,7,2,5,4]=>000000=>7
[3,6,1,7,4,2,5]=>000000=>7
[3,6,1,7,4,5,2]=>000000=>7
[3,6,1,7,5,2,4]=>000000=>7
[3,6,1,7,5,4,2]=>000000=>7
[3,6,2,1,4,5,7]=>000001=>6
[3,6,2,1,4,7,5]=>000000=>7
[3,6,2,1,5,4,7]=>000001=>6
[3,6,2,1,5,7,4]=>000000=>7
[3,6,2,1,7,4,5]=>000000=>7
[3,6,2,1,7,5,4]=>000000=>7
[3,6,2,4,1,5,7]=>000001=>6
[3,6,2,4,1,7,5]=>000000=>7
[3,6,2,4,5,1,7]=>000001=>6
[3,6,2,4,5,7,1]=>000000=>7
[3,6,2,4,7,1,5]=>000000=>7
[3,6,2,4,7,5,1]=>000000=>7
[3,6,2,5,1,4,7]=>000001=>6
[3,6,2,5,1,7,4]=>000000=>7
[3,6,2,5,4,1,7]=>000001=>6
[3,6,2,5,4,7,1]=>000000=>7
[3,6,2,5,7,1,4]=>000000=>7
[3,6,2,5,7,4,1]=>000000=>7
[3,6,2,7,1,4,5]=>000000=>7
[3,6,2,7,1,5,4]=>000000=>7
[3,6,2,7,4,1,5]=>000000=>7
[3,6,2,7,4,5,1]=>000000=>7
[3,6,2,7,5,1,4]=>000000=>7
[3,6,2,7,5,4,1]=>000000=>7
[3,6,4,1,2,5,7]=>000001=>6
[3,6,4,1,2,7,5]=>000000=>7
[3,6,4,1,5,2,7]=>000001=>6
[3,6,4,1,5,7,2]=>000000=>7
[3,6,4,1,7,2,5]=>000000=>7
[3,6,4,1,7,5,2]=>000000=>7
[3,6,4,2,1,5,7]=>000001=>6
[3,6,4,2,1,7,5]=>000000=>7
[3,6,4,2,5,1,7]=>000001=>6
[3,6,4,2,5,7,1]=>000000=>7
[3,6,4,2,7,1,5]=>000000=>7
[3,6,4,2,7,5,1]=>000000=>7
[3,6,4,5,1,2,7]=>000001=>6
[3,6,4,5,1,7,2]=>000000=>7
[3,6,4,5,2,1,7]=>000001=>6
[3,6,4,5,2,7,1]=>000000=>7
[3,6,4,5,7,1,2]=>000000=>7
[3,6,4,5,7,2,1]=>000000=>7
[3,6,4,7,1,2,5]=>000000=>7
[3,6,4,7,1,5,2]=>000000=>7
[3,6,4,7,2,1,5]=>000000=>7
[3,6,4,7,2,5,1]=>000000=>7
[3,6,4,7,5,1,2]=>000000=>7
[3,6,4,7,5,2,1]=>000000=>7
[3,6,5,1,2,4,7]=>000001=>6
[3,6,5,1,2,7,4]=>000000=>7
[3,6,5,1,4,2,7]=>000001=>6
[3,6,5,1,4,7,2]=>000000=>7
[3,6,5,1,7,2,4]=>000000=>7
[3,6,5,1,7,4,2]=>000000=>7
[3,6,5,2,1,4,7]=>000001=>6
[3,6,5,2,1,7,4]=>000000=>7
[3,6,5,2,4,1,7]=>000001=>6
[3,6,5,2,4,7,1]=>000000=>7
[3,6,5,2,7,1,4]=>000000=>7
[3,6,5,2,7,4,1]=>000000=>7
[3,6,5,4,1,2,7]=>000001=>6
[3,6,5,4,1,7,2]=>000000=>7
[3,6,5,4,2,1,7]=>000001=>6
[3,6,5,4,2,7,1]=>000000=>7
[3,6,5,4,7,1,2]=>000000=>7
[3,6,5,4,7,2,1]=>000000=>7
[3,6,5,7,1,2,4]=>000000=>7
[3,6,5,7,1,4,2]=>000000=>7
[3,6,5,7,2,1,4]=>000000=>7
[3,6,5,7,2,4,1]=>000000=>7
[3,6,5,7,4,1,2]=>000000=>7
[3,6,5,7,4,2,1]=>000000=>7
[3,6,7,1,2,4,5]=>000000=>7
[3,6,7,1,2,5,4]=>000000=>7
[3,6,7,1,4,2,5]=>000000=>7
[3,6,7,1,4,5,2]=>000000=>7
[3,6,7,1,5,2,4]=>000000=>7
[3,6,7,1,5,4,2]=>000000=>7
[3,6,7,2,1,4,5]=>000000=>7
[3,6,7,2,1,5,4]=>000000=>7
[3,6,7,2,4,1,5]=>000000=>7
[3,6,7,2,4,5,1]=>000000=>7
[3,6,7,2,5,1,4]=>000000=>7
[3,6,7,2,5,4,1]=>000000=>7
[3,6,7,4,1,2,5]=>000000=>7
[3,6,7,4,1,5,2]=>000000=>7
[3,6,7,4,2,1,5]=>000000=>7
[3,6,7,4,2,5,1]=>000000=>7
[3,6,7,4,5,1,2]=>000000=>7
[3,6,7,4,5,2,1]=>000000=>7
[3,6,7,5,1,2,4]=>000000=>7
[3,6,7,5,1,4,2]=>000000=>7
[3,6,7,5,2,1,4]=>000000=>7
[3,6,7,5,2,4,1]=>000000=>7
[3,6,7,5,4,1,2]=>000000=>7
[3,6,7,5,4,2,1]=>000000=>7
[3,7,1,2,4,5,6]=>000000=>7
[3,7,1,2,4,6,5]=>000000=>7
[3,7,1,2,5,4,6]=>000000=>7
[3,7,1,2,5,6,4]=>000000=>7
[3,7,1,2,6,4,5]=>000000=>7
[3,7,1,2,6,5,4]=>000000=>7
[3,7,1,4,2,5,6]=>000000=>7
[3,7,1,4,2,6,5]=>000000=>7
[3,7,1,4,5,2,6]=>000000=>7
[3,7,1,4,5,6,2]=>000000=>7
[3,7,1,4,6,2,5]=>000000=>7
[3,7,1,4,6,5,2]=>000000=>7
[3,7,1,5,2,4,6]=>000000=>7
[3,7,1,5,2,6,4]=>000000=>7
[3,7,1,5,4,2,6]=>000000=>7
[3,7,1,5,4,6,2]=>000000=>7
[3,7,1,5,6,2,4]=>000000=>7
[3,7,1,5,6,4,2]=>000000=>7
[3,7,1,6,2,4,5]=>000000=>7
[3,7,1,6,2,5,4]=>000000=>7
[3,7,1,6,4,2,5]=>000000=>7
[3,7,1,6,4,5,2]=>000000=>7
[3,7,1,6,5,2,4]=>000000=>7
[3,7,1,6,5,4,2]=>000000=>7
[3,7,2,1,4,5,6]=>000000=>7
[3,7,2,1,4,6,5]=>000000=>7
[3,7,2,1,5,4,6]=>000000=>7
[3,7,2,1,5,6,4]=>000000=>7
[3,7,2,1,6,4,5]=>000000=>7
[3,7,2,1,6,5,4]=>000000=>7
[3,7,2,4,1,5,6]=>000000=>7
[3,7,2,4,1,6,5]=>000000=>7
[3,7,2,4,5,1,6]=>000000=>7
[3,7,2,4,5,6,1]=>000000=>7
[3,7,2,4,6,1,5]=>000000=>7
[3,7,2,4,6,5,1]=>000000=>7
[3,7,2,5,1,4,6]=>000000=>7
[3,7,2,5,1,6,4]=>000000=>7
[3,7,2,5,4,1,6]=>000000=>7
[3,7,2,5,4,6,1]=>000000=>7
[3,7,2,5,6,1,4]=>000000=>7
[3,7,2,5,6,4,1]=>000000=>7
[3,7,2,6,1,4,5]=>000000=>7
[3,7,2,6,1,5,4]=>000000=>7
[3,7,2,6,4,1,5]=>000000=>7
[3,7,2,6,4,5,1]=>000000=>7
[3,7,2,6,5,1,4]=>000000=>7
[3,7,2,6,5,4,1]=>000000=>7
[3,7,4,1,2,5,6]=>000000=>7
[3,7,4,1,2,6,5]=>000000=>7
[3,7,4,1,5,2,6]=>000000=>7
[3,7,4,1,5,6,2]=>000000=>7
[3,7,4,1,6,2,5]=>000000=>7
[3,7,4,1,6,5,2]=>000000=>7
[3,7,4,2,1,5,6]=>000000=>7
[3,7,4,2,1,6,5]=>000000=>7
[3,7,4,2,5,1,6]=>000000=>7
[3,7,4,2,5,6,1]=>000000=>7
[3,7,4,2,6,1,5]=>000000=>7
[3,7,4,2,6,5,1]=>000000=>7
[3,7,4,5,1,2,6]=>000000=>7
[3,7,4,5,1,6,2]=>000000=>7
[3,7,4,5,2,1,6]=>000000=>7
[3,7,4,5,2,6,1]=>000000=>7
[3,7,4,5,6,1,2]=>000000=>7
[3,7,4,5,6,2,1]=>000000=>7
[3,7,4,6,1,2,5]=>000000=>7
[3,7,4,6,1,5,2]=>000000=>7
[3,7,4,6,2,1,5]=>000000=>7
[3,7,4,6,2,5,1]=>000000=>7
[3,7,4,6,5,1,2]=>000000=>7
[3,7,4,6,5,2,1]=>000000=>7
[3,7,5,1,2,4,6]=>000000=>7
[3,7,5,1,2,6,4]=>000000=>7
[3,7,5,1,4,2,6]=>000000=>7
[3,7,5,1,4,6,2]=>000000=>7
[3,7,5,1,6,2,4]=>000000=>7
[3,7,5,1,6,4,2]=>000000=>7
[3,7,5,2,1,4,6]=>000000=>7
[3,7,5,2,1,6,4]=>000000=>7
[3,7,5,2,4,1,6]=>000000=>7
[3,7,5,2,4,6,1]=>000000=>7
[3,7,5,2,6,1,4]=>000000=>7
[3,7,5,2,6,4,1]=>000000=>7
[3,7,5,4,1,2,6]=>000000=>7
[3,7,5,4,1,6,2]=>000000=>7
[3,7,5,4,2,1,6]=>000000=>7
[3,7,5,4,2,6,1]=>000000=>7
[3,7,5,4,6,1,2]=>000000=>7
[3,7,5,4,6,2,1]=>000000=>7
[3,7,5,6,1,2,4]=>000000=>7
[3,7,5,6,1,4,2]=>000000=>7
[3,7,5,6,2,1,4]=>000000=>7
[3,7,5,6,2,4,1]=>000000=>7
[3,7,5,6,4,1,2]=>000000=>7
[3,7,5,6,4,2,1]=>000000=>7
[3,7,6,1,2,4,5]=>000000=>7
[3,7,6,1,2,5,4]=>000000=>7
[3,7,6,1,4,2,5]=>000000=>7
[3,7,6,1,4,5,2]=>000000=>7
[3,7,6,1,5,2,4]=>000000=>7
[3,7,6,1,5,4,2]=>000000=>7
[3,7,6,2,1,4,5]=>000000=>7
[3,7,6,2,1,5,4]=>000000=>7
[3,7,6,2,4,1,5]=>000000=>7
[3,7,6,2,4,5,1]=>000000=>7
[3,7,6,2,5,1,4]=>000000=>7
[3,7,6,2,5,4,1]=>000000=>7
[3,7,6,4,1,2,5]=>000000=>7
[3,7,6,4,1,5,2]=>000000=>7
[3,7,6,4,2,1,5]=>000000=>7
[3,7,6,4,2,5,1]=>000000=>7
[3,7,6,4,5,1,2]=>000000=>7
[3,7,6,4,5,2,1]=>000000=>7
[3,7,6,5,1,2,4]=>000000=>7
[3,7,6,5,1,4,2]=>000000=>7
[3,7,6,5,2,1,4]=>000000=>7
[3,7,6,5,2,4,1]=>000000=>7
[3,7,6,5,4,1,2]=>000000=>7
[3,7,6,5,4,2,1]=>000000=>7
[4,1,2,3,5,6,7]=>000111=>4
[4,1,2,3,5,7,6]=>000110=>4
[4,1,2,3,6,5,7]=>000101=>4
[4,1,2,3,6,7,5]=>000100=>4
[4,1,2,3,7,5,6]=>000100=>4
[4,1,2,3,7,6,5]=>000100=>4
[4,1,2,5,3,6,7]=>000011=>5
[4,1,2,5,3,7,6]=>000010=>5
[4,1,2,5,6,3,7]=>000001=>6
[4,1,2,5,6,7,3]=>000000=>7
[4,1,2,5,7,3,6]=>000000=>7
[4,1,2,5,7,6,3]=>000000=>7
[4,1,2,6,3,5,7]=>000001=>6
[4,1,2,6,3,7,5]=>000000=>7
[4,1,2,6,5,3,7]=>000001=>6
[4,1,2,6,5,7,3]=>000000=>7
[4,1,2,6,7,3,5]=>000000=>7
[4,1,2,6,7,5,3]=>000000=>7
[4,1,2,7,3,5,6]=>000000=>7
[4,1,2,7,3,6,5]=>000000=>7
[4,1,2,7,5,3,6]=>000000=>7
[4,1,2,7,5,6,3]=>000000=>7
[4,1,2,7,6,3,5]=>000000=>7
[4,1,2,7,6,5,3]=>000000=>7
[4,1,3,2,5,6,7]=>000111=>4
[4,1,3,2,5,7,6]=>000110=>4
[4,1,3,2,6,5,7]=>000101=>4
[4,1,3,2,6,7,5]=>000100=>4
[4,1,3,2,7,5,6]=>000100=>4
[4,1,3,2,7,6,5]=>000100=>4
[4,1,3,5,2,6,7]=>000011=>5
[4,1,3,5,2,7,6]=>000010=>5
[4,1,3,5,6,2,7]=>000001=>6
[4,1,3,5,6,7,2]=>000000=>7
[4,1,3,5,7,2,6]=>000000=>7
[4,1,3,5,7,6,2]=>000000=>7
[4,1,3,6,2,5,7]=>000001=>6
[4,1,3,6,2,7,5]=>000000=>7
[4,1,3,6,5,2,7]=>000001=>6
[4,1,3,6,5,7,2]=>000000=>7
[4,1,3,6,7,2,5]=>000000=>7
[4,1,3,6,7,5,2]=>000000=>7
[4,1,3,7,2,5,6]=>000000=>7
[4,1,3,7,2,6,5]=>000000=>7
[4,1,3,7,5,2,6]=>000000=>7
[4,1,3,7,5,6,2]=>000000=>7
[4,1,3,7,6,2,5]=>000000=>7
[4,1,3,7,6,5,2]=>000000=>7
[4,1,5,2,3,6,7]=>000011=>5
[4,1,5,2,3,7,6]=>000010=>5
[4,1,5,2,6,3,7]=>000001=>6
[4,1,5,2,6,7,3]=>000000=>7
[4,1,5,2,7,3,6]=>000000=>7
[4,1,5,2,7,6,3]=>000000=>7
[4,1,5,3,2,6,7]=>000011=>5
[4,1,5,3,2,7,6]=>000010=>5
[4,1,5,3,6,2,7]=>000001=>6
[4,1,5,3,6,7,2]=>000000=>7
[4,1,5,3,7,2,6]=>000000=>7
[4,1,5,3,7,6,2]=>000000=>7
[4,1,5,6,2,3,7]=>000001=>6
[4,1,5,6,2,7,3]=>000000=>7
[4,1,5,6,3,2,7]=>000001=>6
[4,1,5,6,3,7,2]=>000000=>7
[4,1,5,6,7,2,3]=>000000=>7
[4,1,5,6,7,3,2]=>000000=>7
[4,1,5,7,2,3,6]=>000000=>7
[4,1,5,7,2,6,3]=>000000=>7
[4,1,5,7,3,2,6]=>000000=>7
[4,1,5,7,3,6,2]=>000000=>7
[4,1,5,7,6,2,3]=>000000=>7
[4,1,5,7,6,3,2]=>000000=>7
[4,1,6,2,3,5,7]=>000001=>6
[4,1,6,2,3,7,5]=>000000=>7
[4,1,6,2,5,3,7]=>000001=>6
[4,1,6,2,5,7,3]=>000000=>7
[4,1,6,2,7,3,5]=>000000=>7
[4,1,6,2,7,5,3]=>000000=>7
[4,1,6,3,2,5,7]=>000001=>6
[4,1,6,3,2,7,5]=>000000=>7
[4,1,6,3,5,2,7]=>000001=>6
[4,1,6,3,5,7,2]=>000000=>7
[4,1,6,3,7,2,5]=>000000=>7
[4,1,6,3,7,5,2]=>000000=>7
[4,1,6,5,2,3,7]=>000001=>6
[4,1,6,5,2,7,3]=>000000=>7
[4,1,6,5,3,2,7]=>000001=>6
[4,1,6,5,3,7,2]=>000000=>7
[4,1,6,5,7,2,3]=>000000=>7
[4,1,6,5,7,3,2]=>000000=>7
[4,1,6,7,2,3,5]=>000000=>7
[4,1,6,7,2,5,3]=>000000=>7
[4,1,6,7,3,2,5]=>000000=>7
[4,1,6,7,3,5,2]=>000000=>7
[4,1,6,7,5,2,3]=>000000=>7
[4,1,6,7,5,3,2]=>000000=>7
[4,1,7,2,3,5,6]=>000000=>7
[4,1,7,2,3,6,5]=>000000=>7
[4,1,7,2,5,3,6]=>000000=>7
[4,1,7,2,5,6,3]=>000000=>7
[4,1,7,2,6,3,5]=>000000=>7
[4,1,7,2,6,5,3]=>000000=>7
[4,1,7,3,2,5,6]=>000000=>7
[4,1,7,3,2,6,5]=>000000=>7
[4,1,7,3,5,2,6]=>000000=>7
[4,1,7,3,5,6,2]=>000000=>7
[4,1,7,3,6,2,5]=>000000=>7
[4,1,7,3,6,5,2]=>000000=>7
[4,1,7,5,2,3,6]=>000000=>7
[4,1,7,5,2,6,3]=>000000=>7
[4,1,7,5,3,2,6]=>000000=>7
[4,1,7,5,3,6,2]=>000000=>7
[4,1,7,5,6,2,3]=>000000=>7
[4,1,7,5,6,3,2]=>000000=>7
[4,1,7,6,2,3,5]=>000000=>7
[4,1,7,6,2,5,3]=>000000=>7
[4,1,7,6,3,2,5]=>000000=>7
[4,1,7,6,3,5,2]=>000000=>7
[4,1,7,6,5,2,3]=>000000=>7
[4,1,7,6,5,3,2]=>000000=>7
[4,2,1,3,5,6,7]=>000111=>4
[4,2,1,3,5,7,6]=>000110=>4
[4,2,1,3,6,5,7]=>000101=>4
[4,2,1,3,6,7,5]=>000100=>4
[4,2,1,3,7,5,6]=>000100=>4
[4,2,1,3,7,6,5]=>000100=>4
[4,2,1,5,3,6,7]=>000011=>5
[4,2,1,5,3,7,6]=>000010=>5
[4,2,1,5,6,3,7]=>000001=>6
[4,2,1,5,6,7,3]=>000000=>7
[4,2,1,5,7,3,6]=>000000=>7
[4,2,1,5,7,6,3]=>000000=>7
[4,2,1,6,3,5,7]=>000001=>6
[4,2,1,6,3,7,5]=>000000=>7
[4,2,1,6,5,3,7]=>000001=>6
[4,2,1,6,5,7,3]=>000000=>7
[4,2,1,6,7,3,5]=>000000=>7
[4,2,1,6,7,5,3]=>000000=>7
[4,2,1,7,3,5,6]=>000000=>7
[4,2,1,7,3,6,5]=>000000=>7
[4,2,1,7,5,3,6]=>000000=>7
[4,2,1,7,5,6,3]=>000000=>7
[4,2,1,7,6,3,5]=>000000=>7
[4,2,1,7,6,5,3]=>000000=>7
[4,2,3,1,5,6,7]=>000111=>4
[4,2,3,1,5,7,6]=>000110=>4
[4,2,3,1,6,5,7]=>000101=>4
[4,2,3,1,6,7,5]=>000100=>4
[4,2,3,1,7,5,6]=>000100=>4
[4,2,3,1,7,6,5]=>000100=>4
[4,2,3,5,1,6,7]=>000011=>5
[4,2,3,5,1,7,6]=>000010=>5
[4,2,3,5,6,1,7]=>000001=>6
[4,2,3,5,6,7,1]=>000000=>7
[4,2,3,5,7,1,6]=>000000=>7
[4,2,3,5,7,6,1]=>000000=>7
[4,2,3,6,1,5,7]=>000001=>6
[4,2,3,6,1,7,5]=>000000=>7
[4,2,3,6,5,1,7]=>000001=>6
[4,2,3,6,5,7,1]=>000000=>7
[4,2,3,6,7,1,5]=>000000=>7
[4,2,3,6,7,5,1]=>000000=>7
[4,2,3,7,1,5,6]=>000000=>7
[4,2,3,7,1,6,5]=>000000=>7
[4,2,3,7,5,1,6]=>000000=>7
[4,2,3,7,5,6,1]=>000000=>7
[4,2,3,7,6,1,5]=>000000=>7
[4,2,3,7,6,5,1]=>000000=>7
[4,2,5,1,3,6,7]=>000011=>5
[4,2,5,1,3,7,6]=>000010=>5
[4,2,5,1,6,3,7]=>000001=>6
[4,2,5,1,6,7,3]=>000000=>7
[4,2,5,1,7,3,6]=>000000=>7
[4,2,5,1,7,6,3]=>000000=>7
[4,2,5,3,1,6,7]=>000011=>5
[4,2,5,3,1,7,6]=>000010=>5
[4,2,5,3,6,1,7]=>000001=>6
[4,2,5,3,6,7,1]=>000000=>7
[4,2,5,3,7,1,6]=>000000=>7
[4,2,5,3,7,6,1]=>000000=>7
[4,2,5,6,1,3,7]=>000001=>6
[4,2,5,6,1,7,3]=>000000=>7
[4,2,5,6,3,1,7]=>000001=>6
[4,2,5,6,3,7,1]=>000000=>7
[4,2,5,6,7,1,3]=>000000=>7
[4,2,5,6,7,3,1]=>000000=>7
[4,2,5,7,1,3,6]=>000000=>7
[4,2,5,7,1,6,3]=>000000=>7
[4,2,5,7,3,1,6]=>000000=>7
[4,2,5,7,3,6,1]=>000000=>7
[4,2,5,7,6,1,3]=>000000=>7
[4,2,5,7,6,3,1]=>000000=>7
[4,2,6,1,3,5,7]=>000001=>6
[4,2,6,1,3,7,5]=>000000=>7
[4,2,6,1,5,3,7]=>000001=>6
[4,2,6,1,5,7,3]=>000000=>7
[4,2,6,1,7,3,5]=>000000=>7
[4,2,6,1,7,5,3]=>000000=>7
[4,2,6,3,1,5,7]=>000001=>6
[4,2,6,3,1,7,5]=>000000=>7
[4,2,6,3,5,1,7]=>000001=>6
[4,2,6,3,5,7,1]=>000000=>7
[4,2,6,3,7,1,5]=>000000=>7
[4,2,6,3,7,5,1]=>000000=>7
[4,2,6,5,1,3,7]=>000001=>6
[4,2,6,5,1,7,3]=>000000=>7
[4,2,6,5,3,1,7]=>000001=>6
[4,2,6,5,3,7,1]=>000000=>7
[4,2,6,5,7,1,3]=>000000=>7
[4,2,6,5,7,3,1]=>000000=>7
[4,2,6,7,1,3,5]=>000000=>7
[4,2,6,7,1,5,3]=>000000=>7
[4,2,6,7,3,1,5]=>000000=>7
[4,2,6,7,3,5,1]=>000000=>7
[4,2,6,7,5,1,3]=>000000=>7
[4,2,6,7,5,3,1]=>000000=>7
[4,2,7,1,3,5,6]=>000000=>7
[4,2,7,1,3,6,5]=>000000=>7
[4,2,7,1,5,3,6]=>000000=>7
[4,2,7,1,5,6,3]=>000000=>7
[4,2,7,1,6,3,5]=>000000=>7
[4,2,7,1,6,5,3]=>000000=>7
[4,2,7,3,1,5,6]=>000000=>7
[4,2,7,3,1,6,5]=>000000=>7
[4,2,7,3,5,1,6]=>000000=>7
[4,2,7,3,5,6,1]=>000000=>7
[4,2,7,3,6,1,5]=>000000=>7
[4,2,7,3,6,5,1]=>000000=>7
[4,2,7,5,1,3,6]=>000000=>7
[4,2,7,5,1,6,3]=>000000=>7
[4,2,7,5,3,1,6]=>000000=>7
[4,2,7,5,3,6,1]=>000000=>7
[4,2,7,5,6,1,3]=>000000=>7
[4,2,7,5,6,3,1]=>000000=>7
[4,2,7,6,1,3,5]=>000000=>7
[4,2,7,6,1,5,3]=>000000=>7
[4,2,7,6,3,1,5]=>000000=>7
[4,2,7,6,3,5,1]=>000000=>7
[4,2,7,6,5,1,3]=>000000=>7
[4,2,7,6,5,3,1]=>000000=>7
[4,3,1,2,5,6,7]=>000111=>4
[4,3,1,2,5,7,6]=>000110=>4
[4,3,1,2,6,5,7]=>000101=>4
[4,3,1,2,6,7,5]=>000100=>4
[4,3,1,2,7,5,6]=>000100=>4
[4,3,1,2,7,6,5]=>000100=>4
[4,3,1,5,2,6,7]=>000011=>5
[4,3,1,5,2,7,6]=>000010=>5
[4,3,1,5,6,2,7]=>000001=>6
[4,3,1,5,6,7,2]=>000000=>7
[4,3,1,5,7,2,6]=>000000=>7
[4,3,1,5,7,6,2]=>000000=>7
[4,3,1,6,2,5,7]=>000001=>6
[4,3,1,6,2,7,5]=>000000=>7
[4,3,1,6,5,2,7]=>000001=>6
[4,3,1,6,5,7,2]=>000000=>7
[4,3,1,6,7,2,5]=>000000=>7
[4,3,1,6,7,5,2]=>000000=>7
[4,3,1,7,2,5,6]=>000000=>7
[4,3,1,7,2,6,5]=>000000=>7
[4,3,1,7,5,2,6]=>000000=>7
[4,3,1,7,5,6,2]=>000000=>7
[4,3,1,7,6,2,5]=>000000=>7
[4,3,1,7,6,5,2]=>000000=>7
[4,3,2,1,5,6,7]=>000111=>4
[4,3,2,1,5,7,6]=>000110=>4
[4,3,2,1,6,5,7]=>000101=>4
[4,3,2,1,6,7,5]=>000100=>4
[4,3,2,1,7,5,6]=>000100=>4
[4,3,2,1,7,6,5]=>000100=>4
[4,3,2,5,1,6,7]=>000011=>5
[4,3,2,5,1,7,6]=>000010=>5
[4,3,2,5,6,1,7]=>000001=>6
[4,3,2,5,6,7,1]=>000000=>7
[4,3,2,5,7,1,6]=>000000=>7
[4,3,2,5,7,6,1]=>000000=>7
[4,3,2,6,1,5,7]=>000001=>6
[4,3,2,6,1,7,5]=>000000=>7
[4,3,2,6,5,1,7]=>000001=>6
[4,3,2,6,5,7,1]=>000000=>7
[4,3,2,6,7,1,5]=>000000=>7
[4,3,2,6,7,5,1]=>000000=>7
[4,3,2,7,1,5,6]=>000000=>7
[4,3,2,7,1,6,5]=>000000=>7
[4,3,2,7,5,1,6]=>000000=>7
[4,3,2,7,5,6,1]=>000000=>7
[4,3,2,7,6,1,5]=>000000=>7
[4,3,2,7,6,5,1]=>000000=>7
[4,3,5,1,2,6,7]=>000011=>5
[4,3,5,1,2,7,6]=>000010=>5
[4,3,5,1,6,2,7]=>000001=>6
[4,3,5,1,6,7,2]=>000000=>7
[4,3,5,1,7,2,6]=>000000=>7
[4,3,5,1,7,6,2]=>000000=>7
[4,3,5,2,1,6,7]=>000011=>5
[4,3,5,2,1,7,6]=>000010=>5
[4,3,5,2,6,1,7]=>000001=>6
[4,3,5,2,6,7,1]=>000000=>7
[4,3,5,2,7,1,6]=>000000=>7
[4,3,5,2,7,6,1]=>000000=>7
[4,3,5,6,1,2,7]=>000001=>6
[4,3,5,6,1,7,2]=>000000=>7
[4,3,5,6,2,1,7]=>000001=>6
[4,3,5,6,2,7,1]=>000000=>7
[4,3,5,6,7,1,2]=>000000=>7
[4,3,5,6,7,2,1]=>000000=>7
[4,3,5,7,1,2,6]=>000000=>7
[4,3,5,7,1,6,2]=>000000=>7
[4,3,5,7,2,1,6]=>000000=>7
[4,3,5,7,2,6,1]=>000000=>7
[4,3,5,7,6,1,2]=>000000=>7
[4,3,5,7,6,2,1]=>000000=>7
[4,3,6,1,2,5,7]=>000001=>6
[4,3,6,1,2,7,5]=>000000=>7
[4,3,6,1,5,2,7]=>000001=>6
[4,3,6,1,5,7,2]=>000000=>7
[4,3,6,1,7,2,5]=>000000=>7
[4,3,6,1,7,5,2]=>000000=>7
[4,3,6,2,1,5,7]=>000001=>6
[4,3,6,2,1,7,5]=>000000=>7
[4,3,6,2,5,1,7]=>000001=>6
[4,3,6,2,5,7,1]=>000000=>7
[4,3,6,2,7,1,5]=>000000=>7
[4,3,6,2,7,5,1]=>000000=>7
[4,3,6,5,1,2,7]=>000001=>6
[4,3,6,5,1,7,2]=>000000=>7
[4,3,6,5,2,1,7]=>000001=>6
[4,3,6,5,2,7,1]=>000000=>7
[4,3,6,5,7,1,2]=>000000=>7
[4,3,6,5,7,2,1]=>000000=>7
[4,3,6,7,1,2,5]=>000000=>7
[4,3,6,7,1,5,2]=>000000=>7
[4,3,6,7,2,1,5]=>000000=>7
[4,3,6,7,2,5,1]=>000000=>7
[4,3,6,7,5,1,2]=>000000=>7
[4,3,6,7,5,2,1]=>000000=>7
[4,3,7,1,2,5,6]=>000000=>7
[4,3,7,1,2,6,5]=>000000=>7
[4,3,7,1,5,2,6]=>000000=>7
[4,3,7,1,5,6,2]=>000000=>7
[4,3,7,1,6,2,5]=>000000=>7
[4,3,7,1,6,5,2]=>000000=>7
[4,3,7,2,1,5,6]=>000000=>7
[4,3,7,2,1,6,5]=>000000=>7
[4,3,7,2,5,1,6]=>000000=>7
[4,3,7,2,5,6,1]=>000000=>7
[4,3,7,2,6,1,5]=>000000=>7
[4,3,7,2,6,5,1]=>000000=>7
[4,3,7,5,1,2,6]=>000000=>7
[4,3,7,5,1,6,2]=>000000=>7
[4,3,7,5,2,1,6]=>000000=>7
[4,3,7,5,2,6,1]=>000000=>7
[4,3,7,5,6,1,2]=>000000=>7
[4,3,7,5,6,2,1]=>000000=>7
[4,3,7,6,1,2,5]=>000000=>7
[4,3,7,6,1,5,2]=>000000=>7
[4,3,7,6,2,1,5]=>000000=>7
[4,3,7,6,2,5,1]=>000000=>7
[4,3,7,6,5,1,2]=>000000=>7
[4,3,7,6,5,2,1]=>000000=>7
[4,5,1,2,3,6,7]=>000011=>5
[4,5,1,2,3,7,6]=>000010=>5
[4,5,1,2,6,3,7]=>000001=>6
[4,5,1,2,6,7,3]=>000000=>7
[4,5,1,2,7,3,6]=>000000=>7
[4,5,1,2,7,6,3]=>000000=>7
[4,5,1,3,2,6,7]=>000011=>5
[4,5,1,3,2,7,6]=>000010=>5
[4,5,1,3,6,2,7]=>000001=>6
[4,5,1,3,6,7,2]=>000000=>7
[4,5,1,3,7,2,6]=>000000=>7
[4,5,1,3,7,6,2]=>000000=>7
[4,5,1,6,2,3,7]=>000001=>6
[4,5,1,6,2,7,3]=>000000=>7
[4,5,1,6,3,2,7]=>000001=>6
[4,5,1,6,3,7,2]=>000000=>7
[4,5,1,6,7,2,3]=>000000=>7
[4,5,1,6,7,3,2]=>000000=>7
[4,5,1,7,2,3,6]=>000000=>7
[4,5,1,7,2,6,3]=>000000=>7
[4,5,1,7,3,2,6]=>000000=>7
[4,5,1,7,3,6,2]=>000000=>7
[4,5,1,7,6,2,3]=>000000=>7
[4,5,1,7,6,3,2]=>000000=>7
[4,5,2,1,3,6,7]=>000011=>5
[4,5,2,1,3,7,6]=>000010=>5
[4,5,2,1,6,3,7]=>000001=>6
[4,5,2,1,6,7,3]=>000000=>7
[4,5,2,1,7,3,6]=>000000=>7
[4,5,2,1,7,6,3]=>000000=>7
[4,5,2,3,1,6,7]=>000011=>5
[4,5,2,3,1,7,6]=>000010=>5
[4,5,2,3,6,1,7]=>000001=>6
[4,5,2,3,6,7,1]=>000000=>7
[4,5,2,3,7,1,6]=>000000=>7
[4,5,2,3,7,6,1]=>000000=>7
[4,5,2,6,1,3,7]=>000001=>6
[4,5,2,6,1,7,3]=>000000=>7
[4,5,2,6,3,1,7]=>000001=>6
[4,5,2,6,3,7,1]=>000000=>7
[4,5,2,6,7,1,3]=>000000=>7
[4,5,2,6,7,3,1]=>000000=>7
[4,5,2,7,1,3,6]=>000000=>7
[4,5,2,7,1,6,3]=>000000=>7
[4,5,2,7,3,1,6]=>000000=>7
[4,5,2,7,3,6,1]=>000000=>7
[4,5,2,7,6,1,3]=>000000=>7
[4,5,2,7,6,3,1]=>000000=>7
[4,5,3,1,2,6,7]=>000011=>5
[4,5,3,1,2,7,6]=>000010=>5
[4,5,3,1,6,2,7]=>000001=>6
[4,5,3,1,6,7,2]=>000000=>7
[4,5,3,1,7,2,6]=>000000=>7
[4,5,3,1,7,6,2]=>000000=>7
[4,5,3,2,1,6,7]=>000011=>5
[4,5,3,2,1,7,6]=>000010=>5
[4,5,3,2,6,1,7]=>000001=>6
[4,5,3,2,6,7,1]=>000000=>7
[4,5,3,2,7,1,6]=>000000=>7
[4,5,3,2,7,6,1]=>000000=>7
[4,5,3,6,1,2,7]=>000001=>6
[4,5,3,6,1,7,2]=>000000=>7
[4,5,3,6,2,1,7]=>000001=>6
[4,5,3,6,2,7,1]=>000000=>7
[4,5,3,6,7,1,2]=>000000=>7
[4,5,3,6,7,2,1]=>000000=>7
[4,5,3,7,1,2,6]=>000000=>7
[4,5,3,7,1,6,2]=>000000=>7
[4,5,3,7,2,1,6]=>000000=>7
[4,5,3,7,2,6,1]=>000000=>7
[4,5,3,7,6,1,2]=>000000=>7
[4,5,3,7,6,2,1]=>000000=>7
[4,5,6,1,2,3,7]=>000001=>6
[4,5,6,1,2,7,3]=>000000=>7
[4,5,6,1,3,2,7]=>000001=>6
[4,5,6,1,3,7,2]=>000000=>7
[4,5,6,1,7,2,3]=>000000=>7
[4,5,6,1,7,3,2]=>000000=>7
[4,5,6,2,1,3,7]=>000001=>6
[4,5,6,2,1,7,3]=>000000=>7
[4,5,6,2,3,1,7]=>000001=>6
[4,5,6,2,3,7,1]=>000000=>7
[4,5,6,2,7,1,3]=>000000=>7
[4,5,6,2,7,3,1]=>000000=>7
[4,5,6,3,1,2,7]=>000001=>6
[4,5,6,3,1,7,2]=>000000=>7
[4,5,6,3,2,1,7]=>000001=>6
[4,5,6,3,2,7,1]=>000000=>7
[4,5,6,3,7,1,2]=>000000=>7
[4,5,6,3,7,2,1]=>000000=>7
[4,5,6,7,1,2,3]=>000000=>7
[4,5,6,7,1,3,2]=>000000=>7
[4,5,6,7,2,1,3]=>000000=>7
[4,5,6,7,2,3,1]=>000000=>7
[4,5,6,7,3,1,2]=>000000=>7
[4,5,6,7,3,2,1]=>000000=>7
[4,5,7,1,2,3,6]=>000000=>7
[4,5,7,1,2,6,3]=>000000=>7
[4,5,7,1,3,2,6]=>000000=>7
[4,5,7,1,3,6,2]=>000000=>7
[4,5,7,1,6,2,3]=>000000=>7
[4,5,7,1,6,3,2]=>000000=>7
[4,5,7,2,1,3,6]=>000000=>7
[4,5,7,2,1,6,3]=>000000=>7
[4,5,7,2,3,1,6]=>000000=>7
[4,5,7,2,3,6,1]=>000000=>7
[4,5,7,2,6,1,3]=>000000=>7
[4,5,7,2,6,3,1]=>000000=>7
[4,5,7,3,1,2,6]=>000000=>7
[4,5,7,3,1,6,2]=>000000=>7
[4,5,7,3,2,1,6]=>000000=>7
[4,5,7,3,2,6,1]=>000000=>7
[4,5,7,3,6,1,2]=>000000=>7
[4,5,7,3,6,2,1]=>000000=>7
[4,5,7,6,1,2,3]=>000000=>7
[4,5,7,6,1,3,2]=>000000=>7
[4,5,7,6,2,1,3]=>000000=>7
[4,5,7,6,2,3,1]=>000000=>7
[4,5,7,6,3,1,2]=>000000=>7
[4,5,7,6,3,2,1]=>000000=>7
[4,6,1,2,3,5,7]=>000001=>6
[4,6,1,2,3,7,5]=>000000=>7
[4,6,1,2,5,3,7]=>000001=>6
[4,6,1,2,5,7,3]=>000000=>7
[4,6,1,2,7,3,5]=>000000=>7
[4,6,1,2,7,5,3]=>000000=>7
[4,6,1,3,2,5,7]=>000001=>6
[4,6,1,3,2,7,5]=>000000=>7
[4,6,1,3,5,2,7]=>000001=>6
[4,6,1,3,5,7,2]=>000000=>7
[4,6,1,3,7,2,5]=>000000=>7
[4,6,1,3,7,5,2]=>000000=>7
[4,6,1,5,2,3,7]=>000001=>6
[4,6,1,5,2,7,3]=>000000=>7
[4,6,1,5,3,2,7]=>000001=>6
[4,6,1,5,3,7,2]=>000000=>7
[4,6,1,5,7,2,3]=>000000=>7
[4,6,1,5,7,3,2]=>000000=>7
[4,6,1,7,2,3,5]=>000000=>7
[4,6,1,7,2,5,3]=>000000=>7
[4,6,1,7,3,2,5]=>000000=>7
[4,6,1,7,3,5,2]=>000000=>7
[4,6,1,7,5,2,3]=>000000=>7
[4,6,1,7,5,3,2]=>000000=>7
[4,6,2,1,3,5,7]=>000001=>6
[4,6,2,1,3,7,5]=>000000=>7
[4,6,2,1,5,3,7]=>000001=>6
[4,6,2,1,5,7,3]=>000000=>7
[4,6,2,1,7,3,5]=>000000=>7
[4,6,2,1,7,5,3]=>000000=>7
[4,6,2,3,1,5,7]=>000001=>6
[4,6,2,3,1,7,5]=>000000=>7
[4,6,2,3,5,1,7]=>000001=>6
[4,6,2,3,5,7,1]=>000000=>7
[4,6,2,3,7,1,5]=>000000=>7
[4,6,2,3,7,5,1]=>000000=>7
[4,6,2,5,1,3,7]=>000001=>6
[4,6,2,5,1,7,3]=>000000=>7
[4,6,2,5,3,1,7]=>000001=>6
[4,6,2,5,3,7,1]=>000000=>7
[4,6,2,5,7,1,3]=>000000=>7
[4,6,2,5,7,3,1]=>000000=>7
[4,6,2,7,1,3,5]=>000000=>7
[4,6,2,7,1,5,3]=>000000=>7
[4,6,2,7,3,1,5]=>000000=>7
[4,6,2,7,3,5,1]=>000000=>7
[4,6,2,7,5,1,3]=>000000=>7
[4,6,2,7,5,3,1]=>000000=>7
[4,6,3,1,2,5,7]=>000001=>6
[4,6,3,1,2,7,5]=>000000=>7
[4,6,3,1,5,2,7]=>000001=>6
[4,6,3,1,5,7,2]=>000000=>7
[4,6,3,1,7,2,5]=>000000=>7
[4,6,3,1,7,5,2]=>000000=>7
[4,6,3,2,1,5,7]=>000001=>6
[4,6,3,2,1,7,5]=>000000=>7
[4,6,3,2,5,1,7]=>000001=>6
[4,6,3,2,5,7,1]=>000000=>7
[4,6,3,2,7,1,5]=>000000=>7
[4,6,3,2,7,5,1]=>000000=>7
[4,6,3,5,1,2,7]=>000001=>6
[4,6,3,5,1,7,2]=>000000=>7
[4,6,3,5,2,1,7]=>000001=>6
[4,6,3,5,2,7,1]=>000000=>7
[4,6,3,5,7,1,2]=>000000=>7
[4,6,3,5,7,2,1]=>000000=>7
[4,6,3,7,1,2,5]=>000000=>7
[4,6,3,7,1,5,2]=>000000=>7
[4,6,3,7,2,1,5]=>000000=>7
[4,6,3,7,2,5,1]=>000000=>7
[4,6,3,7,5,1,2]=>000000=>7
[4,6,3,7,5,2,1]=>000000=>7
[4,6,5,1,2,3,7]=>000001=>6
[4,6,5,1,2,7,3]=>000000=>7
[4,6,5,1,3,2,7]=>000001=>6
[4,6,5,1,3,7,2]=>000000=>7
[4,6,5,1,7,2,3]=>000000=>7
[4,6,5,1,7,3,2]=>000000=>7
[4,6,5,2,1,3,7]=>000001=>6
[4,6,5,2,1,7,3]=>000000=>7
[4,6,5,2,3,1,7]=>000001=>6
[4,6,5,2,3,7,1]=>000000=>7
[4,6,5,2,7,1,3]=>000000=>7
[4,6,5,2,7,3,1]=>000000=>7
[4,6,5,3,1,2,7]=>000001=>6
[4,6,5,3,1,7,2]=>000000=>7
[4,6,5,3,2,1,7]=>000001=>6
[4,6,5,3,2,7,1]=>000000=>7
[4,6,5,3,7,1,2]=>000000=>7
[4,6,5,3,7,2,1]=>000000=>7
[4,6,5,7,1,2,3]=>000000=>7
[4,6,5,7,1,3,2]=>000000=>7
[4,6,5,7,2,1,3]=>000000=>7
[4,6,5,7,2,3,1]=>000000=>7
[4,6,5,7,3,1,2]=>000000=>7
[4,6,5,7,3,2,1]=>000000=>7
[4,6,7,1,2,3,5]=>000000=>7
[4,6,7,1,2,5,3]=>000000=>7
[4,6,7,1,3,2,5]=>000000=>7
[4,6,7,1,3,5,2]=>000000=>7
[4,6,7,1,5,2,3]=>000000=>7
[4,6,7,1,5,3,2]=>000000=>7
[4,6,7,2,1,3,5]=>000000=>7
[4,6,7,2,1,5,3]=>000000=>7
[4,6,7,2,3,1,5]=>000000=>7
[4,6,7,2,3,5,1]=>000000=>7
[4,6,7,2,5,1,3]=>000000=>7
[4,6,7,2,5,3,1]=>000000=>7
[4,6,7,3,1,2,5]=>000000=>7
[4,6,7,3,1,5,2]=>000000=>7
[4,6,7,3,2,1,5]=>000000=>7
[4,6,7,3,2,5,1]=>000000=>7
[4,6,7,3,5,1,2]=>000000=>7
[4,6,7,3,5,2,1]=>000000=>7
[4,6,7,5,1,2,3]=>000000=>7
[4,6,7,5,1,3,2]=>000000=>7
[4,6,7,5,2,1,3]=>000000=>7
[4,6,7,5,2,3,1]=>000000=>7
[4,6,7,5,3,1,2]=>000000=>7
[4,6,7,5,3,2,1]=>000000=>7
[4,7,1,2,3,5,6]=>000000=>7
[4,7,1,2,3,6,5]=>000000=>7
[4,7,1,2,5,3,6]=>000000=>7
[4,7,1,2,5,6,3]=>000000=>7
[4,7,1,2,6,3,5]=>000000=>7
[4,7,1,2,6,5,3]=>000000=>7
[4,7,1,3,2,5,6]=>000000=>7
[4,7,1,3,2,6,5]=>000000=>7
[4,7,1,3,5,2,6]=>000000=>7
[4,7,1,3,5,6,2]=>000000=>7
[4,7,1,3,6,2,5]=>000000=>7
[4,7,1,3,6,5,2]=>000000=>7
[4,7,1,5,2,3,6]=>000000=>7
[4,7,1,5,2,6,3]=>000000=>7
[4,7,1,5,3,2,6]=>000000=>7
[4,7,1,5,3,6,2]=>000000=>7
[4,7,1,5,6,2,3]=>000000=>7
[4,7,1,5,6,3,2]=>000000=>7
[4,7,1,6,2,3,5]=>000000=>7
[4,7,1,6,2,5,3]=>000000=>7
[4,7,1,6,3,2,5]=>000000=>7
[4,7,1,6,3,5,2]=>000000=>7
[4,7,1,6,5,2,3]=>000000=>7
[4,7,1,6,5,3,2]=>000000=>7
[4,7,2,1,3,5,6]=>000000=>7
[4,7,2,1,3,6,5]=>000000=>7
[4,7,2,1,5,3,6]=>000000=>7
[4,7,2,1,5,6,3]=>000000=>7
[4,7,2,1,6,3,5]=>000000=>7
[4,7,2,1,6,5,3]=>000000=>7
[4,7,2,3,1,5,6]=>000000=>7
[4,7,2,3,1,6,5]=>000000=>7
[4,7,2,3,5,1,6]=>000000=>7
[4,7,2,3,5,6,1]=>000000=>7
[4,7,2,3,6,1,5]=>000000=>7
[4,7,2,3,6,5,1]=>000000=>7
[4,7,2,5,1,3,6]=>000000=>7
[4,7,2,5,1,6,3]=>000000=>7
[4,7,2,5,3,1,6]=>000000=>7
[4,7,2,5,3,6,1]=>000000=>7
[4,7,2,5,6,1,3]=>000000=>7
[4,7,2,5,6,3,1]=>000000=>7
[4,7,2,6,1,3,5]=>000000=>7
[4,7,2,6,1,5,3]=>000000=>7
[4,7,2,6,3,1,5]=>000000=>7
[4,7,2,6,3,5,1]=>000000=>7
[4,7,2,6,5,1,3]=>000000=>7
[4,7,2,6,5,3,1]=>000000=>7
[4,7,3,1,2,5,6]=>000000=>7
[4,7,3,1,2,6,5]=>000000=>7
[4,7,3,1,5,2,6]=>000000=>7
[4,7,3,1,5,6,2]=>000000=>7
[4,7,3,1,6,2,5]=>000000=>7
[4,7,3,1,6,5,2]=>000000=>7
[4,7,3,2,1,5,6]=>000000=>7
[4,7,3,2,1,6,5]=>000000=>7
[4,7,3,2,5,1,6]=>000000=>7
[4,7,3,2,5,6,1]=>000000=>7
[4,7,3,2,6,1,5]=>000000=>7
[4,7,3,2,6,5,1]=>000000=>7
[4,7,3,5,1,2,6]=>000000=>7
[4,7,3,5,1,6,2]=>000000=>7
[4,7,3,5,2,1,6]=>000000=>7
[4,7,3,5,2,6,1]=>000000=>7
[4,7,3,5,6,1,2]=>000000=>7
[4,7,3,5,6,2,1]=>000000=>7
[4,7,3,6,1,2,5]=>000000=>7
[4,7,3,6,1,5,2]=>000000=>7
[4,7,3,6,2,1,5]=>000000=>7
[4,7,3,6,2,5,1]=>000000=>7
[4,7,3,6,5,1,2]=>000000=>7
[4,7,3,6,5,2,1]=>000000=>7
[4,7,5,1,2,3,6]=>000000=>7
[4,7,5,1,2,6,3]=>000000=>7
[4,7,5,1,3,2,6]=>000000=>7
[4,7,5,1,3,6,2]=>000000=>7
[4,7,5,1,6,2,3]=>000000=>7
[4,7,5,1,6,3,2]=>000000=>7
[4,7,5,2,1,3,6]=>000000=>7
[4,7,5,2,1,6,3]=>000000=>7
[4,7,5,2,3,1,6]=>000000=>7
[4,7,5,2,3,6,1]=>000000=>7
[4,7,5,2,6,1,3]=>000000=>7
[4,7,5,2,6,3,1]=>000000=>7
[4,7,5,3,1,2,6]=>000000=>7
[4,7,5,3,1,6,2]=>000000=>7
[4,7,5,3,2,1,6]=>000000=>7
[4,7,5,3,2,6,1]=>000000=>7
[4,7,5,3,6,1,2]=>000000=>7
[4,7,5,3,6,2,1]=>000000=>7
[4,7,5,6,1,2,3]=>000000=>7
[4,7,5,6,1,3,2]=>000000=>7
[4,7,5,6,2,1,3]=>000000=>7
[4,7,5,6,2,3,1]=>000000=>7
[4,7,5,6,3,1,2]=>000000=>7
[4,7,5,6,3,2,1]=>000000=>7
[4,7,6,1,2,3,5]=>000000=>7
[4,7,6,1,2,5,3]=>000000=>7
[4,7,6,1,3,2,5]=>000000=>7
[4,7,6,1,3,5,2]=>000000=>7
[4,7,6,1,5,2,3]=>000000=>7
[4,7,6,1,5,3,2]=>000000=>7
[4,7,6,2,1,3,5]=>000000=>7
[4,7,6,2,1,5,3]=>000000=>7
[4,7,6,2,3,1,5]=>000000=>7
[4,7,6,2,3,5,1]=>000000=>7
[4,7,6,2,5,1,3]=>000000=>7
[4,7,6,2,5,3,1]=>000000=>7
[4,7,6,3,1,2,5]=>000000=>7
[4,7,6,3,1,5,2]=>000000=>7
[4,7,6,3,2,1,5]=>000000=>7
[4,7,6,3,2,5,1]=>000000=>7
[4,7,6,3,5,1,2]=>000000=>7
[4,7,6,3,5,2,1]=>000000=>7
[4,7,6,5,1,2,3]=>000000=>7
[4,7,6,5,1,3,2]=>000000=>7
[4,7,6,5,2,1,3]=>000000=>7
[4,7,6,5,2,3,1]=>000000=>7
[4,7,6,5,3,1,2]=>000000=>7
[4,7,6,5,3,2,1]=>000000=>7
[5,1,2,3,4,6,7]=>000011=>5
[5,1,2,3,4,7,6]=>000010=>5
[5,1,2,3,6,4,7]=>000001=>6
[5,1,2,3,6,7,4]=>000000=>7
[5,1,2,3,7,4,6]=>000000=>7
[5,1,2,3,7,6,4]=>000000=>7
[5,1,2,4,3,6,7]=>000011=>5
[5,1,2,4,3,7,6]=>000010=>5
[5,1,2,4,6,3,7]=>000001=>6
[5,1,2,4,6,7,3]=>000000=>7
[5,1,2,4,7,3,6]=>000000=>7
[5,1,2,4,7,6,3]=>000000=>7
[5,1,2,6,3,4,7]=>000001=>6
[5,1,2,6,3,7,4]=>000000=>7
[5,1,2,6,4,3,7]=>000001=>6
[5,1,2,6,4,7,3]=>000000=>7
[5,1,2,6,7,3,4]=>000000=>7
[5,1,2,6,7,4,3]=>000000=>7
[5,1,2,7,3,4,6]=>000000=>7
[5,1,2,7,3,6,4]=>000000=>7
[5,1,2,7,4,3,6]=>000000=>7
[5,1,2,7,4,6,3]=>000000=>7
[5,1,2,7,6,3,4]=>000000=>7
[5,1,2,7,6,4,3]=>000000=>7
[5,1,3,2,4,6,7]=>000011=>5
[5,1,3,2,4,7,6]=>000010=>5
[5,1,3,2,6,4,7]=>000001=>6
[5,1,3,2,6,7,4]=>000000=>7
[5,1,3,2,7,4,6]=>000000=>7
[5,1,3,2,7,6,4]=>000000=>7
[5,1,3,4,2,6,7]=>000011=>5
[5,1,3,4,2,7,6]=>000010=>5
[5,1,3,4,6,2,7]=>000001=>6
[5,1,3,4,6,7,2]=>000000=>7
[5,1,3,4,7,2,6]=>000000=>7
[5,1,3,4,7,6,2]=>000000=>7
[5,1,3,6,2,4,7]=>000001=>6
[5,1,3,6,2,7,4]=>000000=>7
[5,1,3,6,4,2,7]=>000001=>6
[5,1,3,6,4,7,2]=>000000=>7
[5,1,3,6,7,2,4]=>000000=>7
[5,1,3,6,7,4,2]=>000000=>7
[5,1,3,7,2,4,6]=>000000=>7
[5,1,3,7,2,6,4]=>000000=>7
[5,1,3,7,4,2,6]=>000000=>7
[5,1,3,7,4,6,2]=>000000=>7
[5,1,3,7,6,2,4]=>000000=>7
[5,1,3,7,6,4,2]=>000000=>7
[5,1,4,2,3,6,7]=>000011=>5
[5,1,4,2,3,7,6]=>000010=>5
[5,1,4,2,6,3,7]=>000001=>6
[5,1,4,2,6,7,3]=>000000=>7
[5,1,4,2,7,3,6]=>000000=>7
[5,1,4,2,7,6,3]=>000000=>7
[5,1,4,3,2,6,7]=>000011=>5
[5,1,4,3,2,7,6]=>000010=>5
[5,1,4,3,6,2,7]=>000001=>6
[5,1,4,3,6,7,2]=>000000=>7
[5,1,4,3,7,2,6]=>000000=>7
[5,1,4,3,7,6,2]=>000000=>7
[5,1,4,6,2,3,7]=>000001=>6
[5,1,4,6,2,7,3]=>000000=>7
[5,1,4,6,3,2,7]=>000001=>6
[5,1,4,6,3,7,2]=>000000=>7
[5,1,4,6,7,2,3]=>000000=>7
[5,1,4,6,7,3,2]=>000000=>7
[5,1,4,7,2,3,6]=>000000=>7
[5,1,4,7,2,6,3]=>000000=>7
[5,1,4,7,3,2,6]=>000000=>7
[5,1,4,7,3,6,2]=>000000=>7
[5,1,4,7,6,2,3]=>000000=>7
[5,1,4,7,6,3,2]=>000000=>7
[5,1,6,2,3,4,7]=>000001=>6
[5,1,6,2,3,7,4]=>000000=>7
[5,1,6,2,4,3,7]=>000001=>6
[5,1,6,2,4,7,3]=>000000=>7
[5,1,6,2,7,3,4]=>000000=>7
[5,1,6,2,7,4,3]=>000000=>7
[5,1,6,3,2,4,7]=>000001=>6
[5,1,6,3,2,7,4]=>000000=>7
[5,1,6,3,4,2,7]=>000001=>6
[5,1,6,3,4,7,2]=>000000=>7
[5,1,6,3,7,2,4]=>000000=>7
[5,1,6,3,7,4,2]=>000000=>7
[5,1,6,4,2,3,7]=>000001=>6
[5,1,6,4,2,7,3]=>000000=>7
[5,1,6,4,3,2,7]=>000001=>6
[5,1,6,4,3,7,2]=>000000=>7
[5,1,6,4,7,2,3]=>000000=>7
[5,1,6,4,7,3,2]=>000000=>7
[5,1,6,7,2,3,4]=>000000=>7
[5,1,6,7,2,4,3]=>000000=>7
[5,1,6,7,3,2,4]=>000000=>7
[5,1,6,7,3,4,2]=>000000=>7
[5,1,6,7,4,2,3]=>000000=>7
[5,1,6,7,4,3,2]=>000000=>7
[5,1,7,2,3,4,6]=>000000=>7
[5,1,7,2,3,6,4]=>000000=>7
[5,1,7,2,4,3,6]=>000000=>7
[5,1,7,2,4,6,3]=>000000=>7
[5,1,7,2,6,3,4]=>000000=>7
[5,1,7,2,6,4,3]=>000000=>7
[5,1,7,3,2,4,6]=>000000=>7
[5,1,7,3,2,6,4]=>000000=>7
[5,1,7,3,4,2,6]=>000000=>7
[5,1,7,3,4,6,2]=>000000=>7
[5,1,7,3,6,2,4]=>000000=>7
[5,1,7,3,6,4,2]=>000000=>7
[5,1,7,4,2,3,6]=>000000=>7
[5,1,7,4,2,6,3]=>000000=>7
[5,1,7,4,3,2,6]=>000000=>7
[5,1,7,4,3,6,2]=>000000=>7
[5,1,7,4,6,2,3]=>000000=>7
[5,1,7,4,6,3,2]=>000000=>7
[5,1,7,6,2,3,4]=>000000=>7
[5,1,7,6,2,4,3]=>000000=>7
[5,1,7,6,3,2,4]=>000000=>7
[5,1,7,6,3,4,2]=>000000=>7
[5,1,7,6,4,2,3]=>000000=>7
[5,1,7,6,4,3,2]=>000000=>7
[5,2,1,3,4,6,7]=>000011=>5
[5,2,1,3,4,7,6]=>000010=>5
[5,2,1,3,6,4,7]=>000001=>6
[5,2,1,3,6,7,4]=>000000=>7
[5,2,1,3,7,4,6]=>000000=>7
[5,2,1,3,7,6,4]=>000000=>7
[5,2,1,4,3,6,7]=>000011=>5
[5,2,1,4,3,7,6]=>000010=>5
[5,2,1,4,6,3,7]=>000001=>6
[5,2,1,4,6,7,3]=>000000=>7
[5,2,1,4,7,3,6]=>000000=>7
[5,2,1,4,7,6,3]=>000000=>7
[5,2,1,6,3,4,7]=>000001=>6
[5,2,1,6,3,7,4]=>000000=>7
[5,2,1,6,4,3,7]=>000001=>6
[5,2,1,6,4,7,3]=>000000=>7
[5,2,1,6,7,3,4]=>000000=>7
[5,2,1,6,7,4,3]=>000000=>7
[5,2,1,7,3,4,6]=>000000=>7
[5,2,1,7,3,6,4]=>000000=>7
[5,2,1,7,4,3,6]=>000000=>7
[5,2,1,7,4,6,3]=>000000=>7
[5,2,1,7,6,3,4]=>000000=>7
[5,2,1,7,6,4,3]=>000000=>7
[5,2,3,1,4,6,7]=>000011=>5
[5,2,3,1,4,7,6]=>000010=>5
[5,2,3,1,6,4,7]=>000001=>6
[5,2,3,1,6,7,4]=>000000=>7
[5,2,3,1,7,4,6]=>000000=>7
[5,2,3,1,7,6,4]=>000000=>7
[5,2,3,4,1,6,7]=>000011=>5
[5,2,3,4,1,7,6]=>000010=>5
[5,2,3,4,6,1,7]=>000001=>6
[5,2,3,4,6,7,1]=>000000=>7
[5,2,3,4,7,1,6]=>000000=>7
[5,2,3,4,7,6,1]=>000000=>7
[5,2,3,6,1,4,7]=>000001=>6
[5,2,3,6,1,7,4]=>000000=>7
[5,2,3,6,4,1,7]=>000001=>6
[5,2,3,6,4,7,1]=>000000=>7
[5,2,3,6,7,1,4]=>000000=>7
[5,2,3,6,7,4,1]=>000000=>7
[5,2,3,7,1,4,6]=>000000=>7
[5,2,3,7,1,6,4]=>000000=>7
[5,2,3,7,4,1,6]=>000000=>7
[5,2,3,7,4,6,1]=>000000=>7
[5,2,3,7,6,1,4]=>000000=>7
[5,2,3,7,6,4,1]=>000000=>7
[5,2,4,1,3,6,7]=>000011=>5
[5,2,4,1,3,7,6]=>000010=>5
[5,2,4,1,6,3,7]=>000001=>6
[5,2,4,1,6,7,3]=>000000=>7
[5,2,4,1,7,3,6]=>000000=>7
[5,2,4,1,7,6,3]=>000000=>7
[5,2,4,3,1,6,7]=>000011=>5
[5,2,4,3,1,7,6]=>000010=>5
[5,2,4,3,6,1,7]=>000001=>6
[5,2,4,3,6,7,1]=>000000=>7
[5,2,4,3,7,1,6]=>000000=>7
[5,2,4,3,7,6,1]=>000000=>7
[5,2,4,6,1,3,7]=>000001=>6
[5,2,4,6,1,7,3]=>000000=>7
[5,2,4,6,3,1,7]=>000001=>6
[5,2,4,6,3,7,1]=>000000=>7
[5,2,4,6,7,1,3]=>000000=>7
[5,2,4,6,7,3,1]=>000000=>7
[5,2,4,7,1,3,6]=>000000=>7
[5,2,4,7,1,6,3]=>000000=>7
[5,2,4,7,3,1,6]=>000000=>7
[5,2,4,7,3,6,1]=>000000=>7
[5,2,4,7,6,1,3]=>000000=>7
[5,2,4,7,6,3,1]=>000000=>7
[5,2,6,1,3,4,7]=>000001=>6
[5,2,6,1,3,7,4]=>000000=>7
[5,2,6,1,4,3,7]=>000001=>6
[5,2,6,1,4,7,3]=>000000=>7
[5,2,6,1,7,3,4]=>000000=>7
[5,2,6,1,7,4,3]=>000000=>7
[5,2,6,3,1,4,7]=>000001=>6
[5,2,6,3,1,7,4]=>000000=>7
[5,2,6,3,4,1,7]=>000001=>6
[5,2,6,3,4,7,1]=>000000=>7
[5,2,6,3,7,1,4]=>000000=>7
[5,2,6,3,7,4,1]=>000000=>7
[5,2,6,4,1,3,7]=>000001=>6
[5,2,6,4,1,7,3]=>000000=>7
[5,2,6,4,3,1,7]=>000001=>6
[5,2,6,4,3,7,1]=>000000=>7
[5,2,6,4,7,1,3]=>000000=>7
[5,2,6,4,7,3,1]=>000000=>7
[5,2,6,7,1,3,4]=>000000=>7
[5,2,6,7,1,4,3]=>000000=>7
[5,2,6,7,3,1,4]=>000000=>7
[5,2,6,7,3,4,1]=>000000=>7
[5,2,6,7,4,1,3]=>000000=>7
[5,2,6,7,4,3,1]=>000000=>7
[5,2,7,1,3,4,6]=>000000=>7
[5,2,7,1,3,6,4]=>000000=>7
[5,2,7,1,4,3,6]=>000000=>7
[5,2,7,1,4,6,3]=>000000=>7
[5,2,7,1,6,3,4]=>000000=>7
[5,2,7,1,6,4,3]=>000000=>7
[5,2,7,3,1,4,6]=>000000=>7
[5,2,7,3,1,6,4]=>000000=>7
[5,2,7,3,4,1,6]=>000000=>7
[5,2,7,3,4,6,1]=>000000=>7
[5,2,7,3,6,1,4]=>000000=>7
[5,2,7,3,6,4,1]=>000000=>7
[5,2,7,4,1,3,6]=>000000=>7
[5,2,7,4,1,6,3]=>000000=>7
[5,2,7,4,3,1,6]=>000000=>7
[5,2,7,4,3,6,1]=>000000=>7
[5,2,7,4,6,1,3]=>000000=>7
[5,2,7,4,6,3,1]=>000000=>7
[5,2,7,6,1,3,4]=>000000=>7
[5,2,7,6,1,4,3]=>000000=>7
[5,2,7,6,3,1,4]=>000000=>7
[5,2,7,6,3,4,1]=>000000=>7
[5,2,7,6,4,1,3]=>000000=>7
[5,2,7,6,4,3,1]=>000000=>7
[5,3,1,2,4,6,7]=>000011=>5
[5,3,1,2,4,7,6]=>000010=>5
[5,3,1,2,6,4,7]=>000001=>6
[5,3,1,2,6,7,4]=>000000=>7
[5,3,1,2,7,4,6]=>000000=>7
[5,3,1,2,7,6,4]=>000000=>7
[5,3,1,4,2,6,7]=>000011=>5
[5,3,1,4,2,7,6]=>000010=>5
[5,3,1,4,6,2,7]=>000001=>6
[5,3,1,4,6,7,2]=>000000=>7
[5,3,1,4,7,2,6]=>000000=>7
[5,3,1,4,7,6,2]=>000000=>7
[5,3,1,6,2,4,7]=>000001=>6
[5,3,1,6,2,7,4]=>000000=>7
[5,3,1,6,4,2,7]=>000001=>6
[5,3,1,6,4,7,2]=>000000=>7
[5,3,1,6,7,2,4]=>000000=>7
[5,3,1,6,7,4,2]=>000000=>7
[5,3,1,7,2,4,6]=>000000=>7
[5,3,1,7,2,6,4]=>000000=>7
[5,3,1,7,4,2,6]=>000000=>7
[5,3,1,7,4,6,2]=>000000=>7
[5,3,1,7,6,2,4]=>000000=>7
[5,3,1,7,6,4,2]=>000000=>7
[5,3,2,1,4,6,7]=>000011=>5
[5,3,2,1,4,7,6]=>000010=>5
[5,3,2,1,6,4,7]=>000001=>6
[5,3,2,1,6,7,4]=>000000=>7
[5,3,2,1,7,4,6]=>000000=>7
[5,3,2,1,7,6,4]=>000000=>7
[5,3,2,4,1,6,7]=>000011=>5
[5,3,2,4,1,7,6]=>000010=>5
[5,3,2,4,6,1,7]=>000001=>6
[5,3,2,4,6,7,1]=>000000=>7
[5,3,2,4,7,1,6]=>000000=>7
[5,3,2,4,7,6,1]=>000000=>7
[5,3,2,6,1,4,7]=>000001=>6
[5,3,2,6,1,7,4]=>000000=>7
[5,3,2,6,4,1,7]=>000001=>6
[5,3,2,6,4,7,1]=>000000=>7
[5,3,2,6,7,1,4]=>000000=>7
[5,3,2,6,7,4,1]=>000000=>7
[5,3,2,7,1,4,6]=>000000=>7
[5,3,2,7,1,6,4]=>000000=>7
[5,3,2,7,4,1,6]=>000000=>7
[5,3,2,7,4,6,1]=>000000=>7
[5,3,2,7,6,1,4]=>000000=>7
[5,3,2,7,6,4,1]=>000000=>7
[5,3,4,1,2,6,7]=>000011=>5
[5,3,4,1,2,7,6]=>000010=>5
[5,3,4,1,6,2,7]=>000001=>6
[5,3,4,1,6,7,2]=>000000=>7
[5,3,4,1,7,2,6]=>000000=>7
[5,3,4,1,7,6,2]=>000000=>7
[5,3,4,2,1,6,7]=>000011=>5
[5,3,4,2,1,7,6]=>000010=>5
[5,3,4,2,6,1,7]=>000001=>6
[5,3,4,2,6,7,1]=>000000=>7
[5,3,4,2,7,1,6]=>000000=>7
[5,3,4,2,7,6,1]=>000000=>7
[5,3,4,6,1,2,7]=>000001=>6
[5,3,4,6,1,7,2]=>000000=>7
[5,3,4,6,2,1,7]=>000001=>6
[5,3,4,6,2,7,1]=>000000=>7
[5,3,4,6,7,1,2]=>000000=>7
[5,3,4,6,7,2,1]=>000000=>7
[5,3,4,7,1,2,6]=>000000=>7
[5,3,4,7,1,6,2]=>000000=>7
[5,3,4,7,2,1,6]=>000000=>7
[5,3,4,7,2,6,1]=>000000=>7
[5,3,4,7,6,1,2]=>000000=>7
[5,3,4,7,6,2,1]=>000000=>7
[5,3,6,1,2,4,7]=>000001=>6
[5,3,6,1,2,7,4]=>000000=>7
[5,3,6,1,4,2,7]=>000001=>6
[5,3,6,1,4,7,2]=>000000=>7
[5,3,6,1,7,2,4]=>000000=>7
[5,3,6,1,7,4,2]=>000000=>7
[5,3,6,2,1,4,7]=>000001=>6
[5,3,6,2,1,7,4]=>000000=>7
[5,3,6,2,4,1,7]=>000001=>6
[5,3,6,2,4,7,1]=>000000=>7
[5,3,6,2,7,1,4]=>000000=>7
[5,3,6,2,7,4,1]=>000000=>7
[5,3,6,4,1,2,7]=>000001=>6
[5,3,6,4,1,7,2]=>000000=>7
[5,3,6,4,2,1,7]=>000001=>6
[5,3,6,4,2,7,1]=>000000=>7
[5,3,6,4,7,1,2]=>000000=>7
[5,3,6,4,7,2,1]=>000000=>7
[5,3,6,7,1,2,4]=>000000=>7
[5,3,6,7,1,4,2]=>000000=>7
[5,3,6,7,2,1,4]=>000000=>7
[5,3,6,7,2,4,1]=>000000=>7
[5,3,6,7,4,1,2]=>000000=>7
[5,3,6,7,4,2,1]=>000000=>7
[5,3,7,1,2,4,6]=>000000=>7
[5,3,7,1,2,6,4]=>000000=>7
[5,3,7,1,4,2,6]=>000000=>7
[5,3,7,1,4,6,2]=>000000=>7
[5,3,7,1,6,2,4]=>000000=>7
[5,3,7,1,6,4,2]=>000000=>7
[5,3,7,2,1,4,6]=>000000=>7
[5,3,7,2,1,6,4]=>000000=>7
[5,3,7,2,4,1,6]=>000000=>7
[5,3,7,2,4,6,1]=>000000=>7
[5,3,7,2,6,1,4]=>000000=>7
[5,3,7,2,6,4,1]=>000000=>7
[5,3,7,4,1,2,6]=>000000=>7
[5,3,7,4,1,6,2]=>000000=>7
[5,3,7,4,2,1,6]=>000000=>7
[5,3,7,4,2,6,1]=>000000=>7
[5,3,7,4,6,1,2]=>000000=>7
[5,3,7,4,6,2,1]=>000000=>7
[5,3,7,6,1,2,4]=>000000=>7
[5,3,7,6,1,4,2]=>000000=>7
[5,3,7,6,2,1,4]=>000000=>7
[5,3,7,6,2,4,1]=>000000=>7
[5,3,7,6,4,1,2]=>000000=>7
[5,3,7,6,4,2,1]=>000000=>7
[5,4,1,2,3,6,7]=>000011=>5
[5,4,1,2,3,7,6]=>000010=>5
[5,4,1,2,6,3,7]=>000001=>6
[5,4,1,2,6,7,3]=>000000=>7
[5,4,1,2,7,3,6]=>000000=>7
[5,4,1,2,7,6,3]=>000000=>7
[5,4,1,3,2,6,7]=>000011=>5
[5,4,1,3,2,7,6]=>000010=>5
[5,4,1,3,6,2,7]=>000001=>6
[5,4,1,3,6,7,2]=>000000=>7
[5,4,1,3,7,2,6]=>000000=>7
[5,4,1,3,7,6,2]=>000000=>7
[5,4,1,6,2,3,7]=>000001=>6
[5,4,1,6,2,7,3]=>000000=>7
[5,4,1,6,3,2,7]=>000001=>6
[5,4,1,6,3,7,2]=>000000=>7
[5,4,1,6,7,2,3]=>000000=>7
[5,4,1,6,7,3,2]=>000000=>7
[5,4,1,7,2,3,6]=>000000=>7
[5,4,1,7,2,6,3]=>000000=>7
[5,4,1,7,3,2,6]=>000000=>7
[5,4,1,7,3,6,2]=>000000=>7
[5,4,1,7,6,2,3]=>000000=>7
[5,4,1,7,6,3,2]=>000000=>7
[5,4,2,1,3,6,7]=>000011=>5
[5,4,2,1,3,7,6]=>000010=>5
[5,4,2,1,6,3,7]=>000001=>6
[5,4,2,1,6,7,3]=>000000=>7
[5,4,2,1,7,3,6]=>000000=>7
[5,4,2,1,7,6,3]=>000000=>7
[5,4,2,3,1,6,7]=>000011=>5
[5,4,2,3,1,7,6]=>000010=>5
[5,4,2,3,6,1,7]=>000001=>6
[5,4,2,3,6,7,1]=>000000=>7
[5,4,2,3,7,1,6]=>000000=>7
[5,4,2,3,7,6,1]=>000000=>7
[5,4,2,6,1,3,7]=>000001=>6
[5,4,2,6,1,7,3]=>000000=>7
[5,4,2,6,3,1,7]=>000001=>6
[5,4,2,6,3,7,1]=>000000=>7
[5,4,2,6,7,1,3]=>000000=>7
[5,4,2,6,7,3,1]=>000000=>7
[5,4,2,7,1,3,6]=>000000=>7
[5,4,2,7,1,6,3]=>000000=>7
[5,4,2,7,3,1,6]=>000000=>7
[5,4,2,7,3,6,1]=>000000=>7
[5,4,2,7,6,1,3]=>000000=>7
[5,4,2,7,6,3,1]=>000000=>7
[5,4,3,1,2,6,7]=>000011=>5
[5,4,3,1,2,7,6]=>000010=>5
[5,4,3,1,6,2,7]=>000001=>6
[5,4,3,1,6,7,2]=>000000=>7
[5,4,3,1,7,2,6]=>000000=>7
[5,4,3,1,7,6,2]=>000000=>7
[5,4,3,2,1,6,7]=>000011=>5
[5,4,3,2,1,7,6]=>000010=>5
[5,4,3,2,6,1,7]=>000001=>6
[5,4,3,2,6,7,1]=>000000=>7
[5,4,3,2,7,1,6]=>000000=>7
[5,4,3,2,7,6,1]=>000000=>7
[5,4,3,6,1,2,7]=>000001=>6
[5,4,3,6,1,7,2]=>000000=>7
[5,4,3,6,2,1,7]=>000001=>6
[5,4,3,6,2,7,1]=>000000=>7
[5,4,3,6,7,1,2]=>000000=>7
[5,4,3,6,7,2,1]=>000000=>7
[5,4,3,7,1,2,6]=>000000=>7
[5,4,3,7,1,6,2]=>000000=>7
[5,4,3,7,2,1,6]=>000000=>7
[5,4,3,7,2,6,1]=>000000=>7
[5,4,3,7,6,1,2]=>000000=>7
[5,4,3,7,6,2,1]=>000000=>7
[5,4,6,1,2,3,7]=>000001=>6
[5,4,6,1,2,7,3]=>000000=>7
[5,4,6,1,3,2,7]=>000001=>6
[5,4,6,1,3,7,2]=>000000=>7
[5,4,6,1,7,2,3]=>000000=>7
[5,4,6,1,7,3,2]=>000000=>7
[5,4,6,2,1,3,7]=>000001=>6
[5,4,6,2,1,7,3]=>000000=>7
[5,4,6,2,3,1,7]=>000001=>6
[5,4,6,2,3,7,1]=>000000=>7
[5,4,6,2,7,1,3]=>000000=>7
[5,4,6,2,7,3,1]=>000000=>7
[5,4,6,3,1,2,7]=>000001=>6
[5,4,6,3,1,7,2]=>000000=>7
[5,4,6,3,2,1,7]=>000001=>6
[5,4,6,3,2,7,1]=>000000=>7
[5,4,6,3,7,1,2]=>000000=>7
[5,4,6,3,7,2,1]=>000000=>7
[5,4,6,7,1,2,3]=>000000=>7
[5,4,6,7,1,3,2]=>000000=>7
[5,4,6,7,2,1,3]=>000000=>7
[5,4,6,7,2,3,1]=>000000=>7
[5,4,6,7,3,1,2]=>000000=>7
[5,4,6,7,3,2,1]=>000000=>7
[5,4,7,1,2,3,6]=>000000=>7
[5,4,7,1,2,6,3]=>000000=>7
[5,4,7,1,3,2,6]=>000000=>7
[5,4,7,1,3,6,2]=>000000=>7
[5,4,7,1,6,2,3]=>000000=>7
[5,4,7,1,6,3,2]=>000000=>7
[5,4,7,2,1,3,6]=>000000=>7
[5,4,7,2,1,6,3]=>000000=>7
[5,4,7,2,3,1,6]=>000000=>7
[5,4,7,2,3,6,1]=>000000=>7
[5,4,7,2,6,1,3]=>000000=>7
[5,4,7,2,6,3,1]=>000000=>7
[5,4,7,3,1,2,6]=>000000=>7
[5,4,7,3,1,6,2]=>000000=>7
[5,4,7,3,2,1,6]=>000000=>7
[5,4,7,3,2,6,1]=>000000=>7
[5,4,7,3,6,1,2]=>000000=>7
[5,4,7,3,6,2,1]=>000000=>7
[5,4,7,6,1,2,3]=>000000=>7
[5,4,7,6,1,3,2]=>000000=>7
[5,4,7,6,2,1,3]=>000000=>7
[5,4,7,6,2,3,1]=>000000=>7
[5,4,7,6,3,1,2]=>000000=>7
[5,4,7,6,3,2,1]=>000000=>7
[5,6,1,2,3,4,7]=>000001=>6
[5,6,1,2,3,7,4]=>000000=>7
[5,6,1,2,4,3,7]=>000001=>6
[5,6,1,2,4,7,3]=>000000=>7
[5,6,1,2,7,3,4]=>000000=>7
[5,6,1,2,7,4,3]=>000000=>7
[5,6,1,3,2,4,7]=>000001=>6
[5,6,1,3,2,7,4]=>000000=>7
[5,6,1,3,4,2,7]=>000001=>6
[5,6,1,3,4,7,2]=>000000=>7
[5,6,1,3,7,2,4]=>000000=>7
[5,6,1,3,7,4,2]=>000000=>7
[5,6,1,4,2,3,7]=>000001=>6
[5,6,1,4,2,7,3]=>000000=>7
[5,6,1,4,3,2,7]=>000001=>6
[5,6,1,4,3,7,2]=>000000=>7
[5,6,1,4,7,2,3]=>000000=>7
[5,6,1,4,7,3,2]=>000000=>7
[5,6,1,7,2,3,4]=>000000=>7
[5,6,1,7,2,4,3]=>000000=>7
[5,6,1,7,3,2,4]=>000000=>7
[5,6,1,7,3,4,2]=>000000=>7
[5,6,1,7,4,2,3]=>000000=>7
[5,6,1,7,4,3,2]=>000000=>7
[5,6,2,1,3,4,7]=>000001=>6
[5,6,2,1,3,7,4]=>000000=>7
[5,6,2,1,4,3,7]=>000001=>6
[5,6,2,1,4,7,3]=>000000=>7
[5,6,2,1,7,3,4]=>000000=>7
[5,6,2,1,7,4,3]=>000000=>7
[5,6,2,3,1,4,7]=>000001=>6
[5,6,2,3,1,7,4]=>000000=>7
[5,6,2,3,4,1,7]=>000001=>6
[5,6,2,3,4,7,1]=>000000=>7
[5,6,2,3,7,1,4]=>000000=>7
[5,6,2,3,7,4,1]=>000000=>7
[5,6,2,4,1,3,7]=>000001=>6
[5,6,2,4,1,7,3]=>000000=>7
[5,6,2,4,3,1,7]=>000001=>6
[5,6,2,4,3,7,1]=>000000=>7
[5,6,2,4,7,1,3]=>000000=>7
[5,6,2,4,7,3,1]=>000000=>7
[5,6,2,7,1,3,4]=>000000=>7
[5,6,2,7,1,4,3]=>000000=>7
[5,6,2,7,3,1,4]=>000000=>7
[5,6,2,7,3,4,1]=>000000=>7
[5,6,2,7,4,1,3]=>000000=>7
[5,6,2,7,4,3,1]=>000000=>7
[5,6,3,1,2,4,7]=>000001=>6
[5,6,3,1,2,7,4]=>000000=>7
[5,6,3,1,4,2,7]=>000001=>6
[5,6,3,1,4,7,2]=>000000=>7
[5,6,3,1,7,2,4]=>000000=>7
[5,6,3,1,7,4,2]=>000000=>7
[5,6,3,2,1,4,7]=>000001=>6
[5,6,3,2,1,7,4]=>000000=>7
[5,6,3,2,4,1,7]=>000001=>6
[5,6,3,2,4,7,1]=>000000=>7
[5,6,3,2,7,1,4]=>000000=>7
[5,6,3,2,7,4,1]=>000000=>7
[5,6,3,4,1,2,7]=>000001=>6
[5,6,3,4,1,7,2]=>000000=>7
[5,6,3,4,2,1,7]=>000001=>6
[5,6,3,4,2,7,1]=>000000=>7
[5,6,3,4,7,1,2]=>000000=>7
[5,6,3,4,7,2,1]=>000000=>7
[5,6,3,7,1,2,4]=>000000=>7
[5,6,3,7,1,4,2]=>000000=>7
[5,6,3,7,2,1,4]=>000000=>7
[5,6,3,7,2,4,1]=>000000=>7
[5,6,3,7,4,1,2]=>000000=>7
[5,6,3,7,4,2,1]=>000000=>7
[5,6,4,1,2,3,7]=>000001=>6
[5,6,4,1,2,7,3]=>000000=>7
[5,6,4,1,3,2,7]=>000001=>6
[5,6,4,1,3,7,2]=>000000=>7
[5,6,4,1,7,2,3]=>000000=>7
[5,6,4,1,7,3,2]=>000000=>7
[5,6,4,2,1,3,7]=>000001=>6
[5,6,4,2,1,7,3]=>000000=>7
[5,6,4,2,3,1,7]=>000001=>6
[5,6,4,2,3,7,1]=>000000=>7
[5,6,4,2,7,1,3]=>000000=>7
[5,6,4,2,7,3,1]=>000000=>7
[5,6,4,3,1,2,7]=>000001=>6
[5,6,4,3,1,7,2]=>000000=>7
[5,6,4,3,2,1,7]=>000001=>6
[5,6,4,3,2,7,1]=>000000=>7
[5,6,4,3,7,1,2]=>000000=>7
[5,6,4,3,7,2,1]=>000000=>7
[5,6,4,7,1,2,3]=>000000=>7
[5,6,4,7,1,3,2]=>000000=>7
[5,6,4,7,2,1,3]=>000000=>7
[5,6,4,7,2,3,1]=>000000=>7
[5,6,4,7,3,1,2]=>000000=>7
[5,6,4,7,3,2,1]=>000000=>7
[5,6,7,1,2,3,4]=>000000=>7
[5,6,7,1,2,4,3]=>000000=>7
[5,6,7,1,3,2,4]=>000000=>7
[5,6,7,1,3,4,2]=>000000=>7
[5,6,7,1,4,2,3]=>000000=>7
[5,6,7,1,4,3,2]=>000000=>7
[5,6,7,2,1,3,4]=>000000=>7
[5,6,7,2,1,4,3]=>000000=>7
[5,6,7,2,3,1,4]=>000000=>7
[5,6,7,2,3,4,1]=>000000=>7
[5,6,7,2,4,1,3]=>000000=>7
[5,6,7,2,4,3,1]=>000000=>7
[5,6,7,3,1,2,4]=>000000=>7
[5,6,7,3,1,4,2]=>000000=>7
[5,6,7,3,2,1,4]=>000000=>7
[5,6,7,3,2,4,1]=>000000=>7
[5,6,7,3,4,1,2]=>000000=>7
[5,6,7,3,4,2,1]=>000000=>7
[5,6,7,4,1,2,3]=>000000=>7
[5,6,7,4,1,3,2]=>000000=>7
[5,6,7,4,2,1,3]=>000000=>7
[5,6,7,4,2,3,1]=>000000=>7
[5,6,7,4,3,1,2]=>000000=>7
[5,6,7,4,3,2,1]=>000000=>7
[5,7,1,2,3,4,6]=>000000=>7
[5,7,1,2,3,6,4]=>000000=>7
[5,7,1,2,4,3,6]=>000000=>7
[5,7,1,2,4,6,3]=>000000=>7
[5,7,1,2,6,3,4]=>000000=>7
[5,7,1,2,6,4,3]=>000000=>7
[5,7,1,3,2,4,6]=>000000=>7
[5,7,1,3,2,6,4]=>000000=>7
[5,7,1,3,4,2,6]=>000000=>7
[5,7,1,3,4,6,2]=>000000=>7
[5,7,1,3,6,2,4]=>000000=>7
[5,7,1,3,6,4,2]=>000000=>7
[5,7,1,4,2,3,6]=>000000=>7
[5,7,1,4,2,6,3]=>000000=>7
[5,7,1,4,3,2,6]=>000000=>7
[5,7,1,4,3,6,2]=>000000=>7
[5,7,1,4,6,2,3]=>000000=>7
[5,7,1,4,6,3,2]=>000000=>7
[5,7,1,6,2,3,4]=>000000=>7
[5,7,1,6,2,4,3]=>000000=>7
[5,7,1,6,3,2,4]=>000000=>7
[5,7,1,6,3,4,2]=>000000=>7
[5,7,1,6,4,2,3]=>000000=>7
[5,7,1,6,4,3,2]=>000000=>7
[5,7,2,1,3,4,6]=>000000=>7
[5,7,2,1,3,6,4]=>000000=>7
[5,7,2,1,4,3,6]=>000000=>7
[5,7,2,1,4,6,3]=>000000=>7
[5,7,2,1,6,3,4]=>000000=>7
[5,7,2,1,6,4,3]=>000000=>7
[5,7,2,3,1,4,6]=>000000=>7
[5,7,2,3,1,6,4]=>000000=>7
[5,7,2,3,4,1,6]=>000000=>7
[5,7,2,3,4,6,1]=>000000=>7
[5,7,2,3,6,1,4]=>000000=>7
[5,7,2,3,6,4,1]=>000000=>7
[5,7,2,4,1,3,6]=>000000=>7
[5,7,2,4,1,6,3]=>000000=>7
[5,7,2,4,3,1,6]=>000000=>7
[5,7,2,4,3,6,1]=>000000=>7
[5,7,2,4,6,1,3]=>000000=>7
[5,7,2,4,6,3,1]=>000000=>7
[5,7,2,6,1,3,4]=>000000=>7
[5,7,2,6,1,4,3]=>000000=>7
[5,7,2,6,3,1,4]=>000000=>7
[5,7,2,6,3,4,1]=>000000=>7
[5,7,2,6,4,1,3]=>000000=>7
[5,7,2,6,4,3,1]=>000000=>7
[5,7,3,1,2,4,6]=>000000=>7
[5,7,3,1,2,6,4]=>000000=>7
[5,7,3,1,4,2,6]=>000000=>7
[5,7,3,1,4,6,2]=>000000=>7
[5,7,3,1,6,2,4]=>000000=>7
[5,7,3,1,6,4,2]=>000000=>7
[5,7,3,2,1,4,6]=>000000=>7
[5,7,3,2,1,6,4]=>000000=>7
[5,7,3,2,4,1,6]=>000000=>7
[5,7,3,2,4,6,1]=>000000=>7
[5,7,3,2,6,1,4]=>000000=>7
[5,7,3,2,6,4,1]=>000000=>7
[5,7,3,4,1,2,6]=>000000=>7
[5,7,3,4,1,6,2]=>000000=>7
[5,7,3,4,2,1,6]=>000000=>7
[5,7,3,4,2,6,1]=>000000=>7
[5,7,3,4,6,1,2]=>000000=>7
[5,7,3,4,6,2,1]=>000000=>7
[5,7,3,6,1,2,4]=>000000=>7
[5,7,3,6,1,4,2]=>000000=>7
[5,7,3,6,2,1,4]=>000000=>7
[5,7,3,6,2,4,1]=>000000=>7
[5,7,3,6,4,1,2]=>000000=>7
[5,7,3,6,4,2,1]=>000000=>7
[5,7,4,1,2,3,6]=>000000=>7
[5,7,4,1,2,6,3]=>000000=>7
[5,7,4,1,3,2,6]=>000000=>7
[5,7,4,1,3,6,2]=>000000=>7
[5,7,4,1,6,2,3]=>000000=>7
[5,7,4,1,6,3,2]=>000000=>7
[5,7,4,2,1,3,6]=>000000=>7
[5,7,4,2,1,6,3]=>000000=>7
[5,7,4,2,3,1,6]=>000000=>7
[5,7,4,2,3,6,1]=>000000=>7
[5,7,4,2,6,1,3]=>000000=>7
[5,7,4,2,6,3,1]=>000000=>7
[5,7,4,3,1,2,6]=>000000=>7
[5,7,4,3,1,6,2]=>000000=>7
[5,7,4,3,2,1,6]=>000000=>7
[5,7,4,3,2,6,1]=>000000=>7
[5,7,4,3,6,1,2]=>000000=>7
[5,7,4,3,6,2,1]=>000000=>7
[5,7,4,6,1,2,3]=>000000=>7
[5,7,4,6,1,3,2]=>000000=>7
[5,7,4,6,2,1,3]=>000000=>7
[5,7,4,6,2,3,1]=>000000=>7
[5,7,4,6,3,1,2]=>000000=>7
[5,7,4,6,3,2,1]=>000000=>7
[5,7,6,1,2,3,4]=>000000=>7
[5,7,6,1,2,4,3]=>000000=>7
[5,7,6,1,3,2,4]=>000000=>7
[5,7,6,1,3,4,2]=>000000=>7
[5,7,6,1,4,2,3]=>000000=>7
[5,7,6,1,4,3,2]=>000000=>7
[5,7,6,2,1,3,4]=>000000=>7
[5,7,6,2,1,4,3]=>000000=>7
[5,7,6,2,3,1,4]=>000000=>7
[5,7,6,2,3,4,1]=>000000=>7
[5,7,6,2,4,1,3]=>000000=>7
[5,7,6,2,4,3,1]=>000000=>7
[5,7,6,3,1,2,4]=>000000=>7
[5,7,6,3,1,4,2]=>000000=>7
[5,7,6,3,2,1,4]=>000000=>7
[5,7,6,3,2,4,1]=>000000=>7
[5,7,6,3,4,1,2]=>000000=>7
[5,7,6,3,4,2,1]=>000000=>7
[5,7,6,4,1,2,3]=>000000=>7
[5,7,6,4,1,3,2]=>000000=>7
[5,7,6,4,2,1,3]=>000000=>7
[5,7,6,4,2,3,1]=>000000=>7
[5,7,6,4,3,1,2]=>000000=>7
[5,7,6,4,3,2,1]=>000000=>7
[6,1,2,3,4,5,7]=>000001=>6
[6,1,2,3,4,7,5]=>000000=>7
[6,1,2,3,5,4,7]=>000001=>6
[6,1,2,3,5,7,4]=>000000=>7
[6,1,2,3,7,4,5]=>000000=>7
[6,1,2,3,7,5,4]=>000000=>7
[6,1,2,4,3,5,7]=>000001=>6
[6,1,2,4,3,7,5]=>000000=>7
[6,1,2,4,5,3,7]=>000001=>6
[6,1,2,4,5,7,3]=>000000=>7
[6,1,2,4,7,3,5]=>000000=>7
[6,1,2,4,7,5,3]=>000000=>7
[6,1,2,5,3,4,7]=>000001=>6
[6,1,2,5,3,7,4]=>000000=>7
[6,1,2,5,4,3,7]=>000001=>6
[6,1,2,5,4,7,3]=>000000=>7
[6,1,2,5,7,3,4]=>000000=>7
[6,1,2,5,7,4,3]=>000000=>7
[6,1,2,7,3,4,5]=>000000=>7
[6,1,2,7,3,5,4]=>000000=>7
[6,1,2,7,4,3,5]=>000000=>7
[6,1,2,7,4,5,3]=>000000=>7
[6,1,2,7,5,3,4]=>000000=>7
[6,1,2,7,5,4,3]=>000000=>7
[6,1,3,2,4,5,7]=>000001=>6
[6,1,3,2,4,7,5]=>000000=>7
[6,1,3,2,5,4,7]=>000001=>6
[6,1,3,2,5,7,4]=>000000=>7
[6,1,3,2,7,4,5]=>000000=>7
[6,1,3,2,7,5,4]=>000000=>7
[6,1,3,4,2,5,7]=>000001=>6
[6,1,3,4,2,7,5]=>000000=>7
[6,1,3,4,5,2,7]=>000001=>6
[6,1,3,4,5,7,2]=>000000=>7
[6,1,3,4,7,2,5]=>000000=>7
[6,1,3,4,7,5,2]=>000000=>7
[6,1,3,5,2,4,7]=>000001=>6
[6,1,3,5,2,7,4]=>000000=>7
[6,1,3,5,4,2,7]=>000001=>6
[6,1,3,5,4,7,2]=>000000=>7
[6,1,3,5,7,2,4]=>000000=>7
[6,1,3,5,7,4,2]=>000000=>7
[6,1,3,7,2,4,5]=>000000=>7
[6,1,3,7,2,5,4]=>000000=>7
[6,1,3,7,4,2,5]=>000000=>7
[6,1,3,7,4,5,2]=>000000=>7
[6,1,3,7,5,2,4]=>000000=>7
[6,1,3,7,5,4,2]=>000000=>7
[6,1,4,2,3,5,7]=>000001=>6
[6,1,4,2,3,7,5]=>000000=>7
[6,1,4,2,5,3,7]=>000001=>6
[6,1,4,2,5,7,3]=>000000=>7
[6,1,4,2,7,3,5]=>000000=>7
[6,1,4,2,7,5,3]=>000000=>7
[6,1,4,3,2,5,7]=>000001=>6
[6,1,4,3,2,7,5]=>000000=>7
[6,1,4,3,5,2,7]=>000001=>6
[6,1,4,3,5,7,2]=>000000=>7
[6,1,4,3,7,2,5]=>000000=>7
[6,1,4,3,7,5,2]=>000000=>7
[6,1,4,5,2,3,7]=>000001=>6
[6,1,4,5,2,7,3]=>000000=>7
[6,1,4,5,3,2,7]=>000001=>6
[6,1,4,5,3,7,2]=>000000=>7
[6,1,4,5,7,2,3]=>000000=>7
[6,1,4,5,7,3,2]=>000000=>7
[6,1,4,7,2,3,5]=>000000=>7
[6,1,4,7,2,5,3]=>000000=>7
[6,1,4,7,3,2,5]=>000000=>7
[6,1,4,7,3,5,2]=>000000=>7
[6,1,4,7,5,2,3]=>000000=>7
[6,1,4,7,5,3,2]=>000000=>7
[6,1,5,2,3,4,7]=>000001=>6
[6,1,5,2,3,7,4]=>000000=>7
[6,1,5,2,4,3,7]=>000001=>6
[6,1,5,2,4,7,3]=>000000=>7
[6,1,5,2,7,3,4]=>000000=>7
[6,1,5,2,7,4,3]=>000000=>7
[6,1,5,3,2,4,7]=>000001=>6
[6,1,5,3,2,7,4]=>000000=>7
[6,1,5,3,4,2,7]=>000001=>6
[6,1,5,3,4,7,2]=>000000=>7
[6,1,5,3,7,2,4]=>000000=>7
[6,1,5,3,7,4,2]=>000000=>7
[6,1,5,4,2,3,7]=>000001=>6
[6,1,5,4,2,7,3]=>000000=>7
[6,1,5,4,3,2,7]=>000001=>6
[6,1,5,4,3,7,2]=>000000=>7
[6,1,5,4,7,2,3]=>000000=>7
[6,1,5,4,7,3,2]=>000000=>7
[6,1,5,7,2,3,4]=>000000=>7
[6,1,5,7,2,4,3]=>000000=>7
[6,1,5,7,3,2,4]=>000000=>7
[6,1,5,7,3,4,2]=>000000=>7
[6,1,5,7,4,2,3]=>000000=>7
[6,1,5,7,4,3,2]=>000000=>7
[6,1,7,2,3,4,5]=>000000=>7
[6,1,7,2,3,5,4]=>000000=>7
[6,1,7,2,4,3,5]=>000000=>7
[6,1,7,2,4,5,3]=>000000=>7
[6,1,7,2,5,3,4]=>000000=>7
[6,1,7,2,5,4,3]=>000000=>7
[6,1,7,3,2,4,5]=>000000=>7
[6,1,7,3,2,5,4]=>000000=>7
[6,1,7,3,4,2,5]=>000000=>7
[6,1,7,3,4,5,2]=>000000=>7
[6,1,7,3,5,2,4]=>000000=>7
[6,1,7,3,5,4,2]=>000000=>7
[6,1,7,4,2,3,5]=>000000=>7
[6,1,7,4,2,5,3]=>000000=>7
[6,1,7,4,3,2,5]=>000000=>7
[6,1,7,4,3,5,2]=>000000=>7
[6,1,7,4,5,2,3]=>000000=>7
[6,1,7,4,5,3,2]=>000000=>7
[6,1,7,5,2,3,4]=>000000=>7
[6,1,7,5,2,4,3]=>000000=>7
[6,1,7,5,3,2,4]=>000000=>7
[6,1,7,5,3,4,2]=>000000=>7
[6,1,7,5,4,2,3]=>000000=>7
[6,1,7,5,4,3,2]=>000000=>7
[6,2,1,3,4,5,7]=>000001=>6
[6,2,1,3,4,7,5]=>000000=>7
[6,2,1,3,5,4,7]=>000001=>6
[6,2,1,3,5,7,4]=>000000=>7
[6,2,1,3,7,4,5]=>000000=>7
[6,2,1,3,7,5,4]=>000000=>7
[6,2,1,4,3,5,7]=>000001=>6
[6,2,1,4,3,7,5]=>000000=>7
[6,2,1,4,5,3,7]=>000001=>6
[6,2,1,4,5,7,3]=>000000=>7
[6,2,1,4,7,3,5]=>000000=>7
[6,2,1,4,7,5,3]=>000000=>7
[6,2,1,5,3,4,7]=>000001=>6
[6,2,1,5,3,7,4]=>000000=>7
[6,2,1,5,4,3,7]=>000001=>6
[6,2,1,5,4,7,3]=>000000=>7
[6,2,1,5,7,3,4]=>000000=>7
[6,2,1,5,7,4,3]=>000000=>7
[6,2,1,7,3,4,5]=>000000=>7
[6,2,1,7,3,5,4]=>000000=>7
[6,2,1,7,4,3,5]=>000000=>7
[6,2,1,7,4,5,3]=>000000=>7
[6,2,1,7,5,3,4]=>000000=>7
[6,2,1,7,5,4,3]=>000000=>7
[6,2,3,1,4,5,7]=>000001=>6
[6,2,3,1,4,7,5]=>000000=>7
[6,2,3,1,5,4,7]=>000001=>6
[6,2,3,1,5,7,4]=>000000=>7
[6,2,3,1,7,4,5]=>000000=>7
[6,2,3,1,7,5,4]=>000000=>7
[6,2,3,4,1,5,7]=>000001=>6
[6,2,3,4,1,7,5]=>000000=>7
[6,2,3,4,5,1,7]=>000001=>6
[6,2,3,4,5,7,1]=>000000=>7
[6,2,3,4,7,1,5]=>000000=>7
[6,2,3,4,7,5,1]=>000000=>7
[6,2,3,5,1,4,7]=>000001=>6
[6,2,3,5,1,7,4]=>000000=>7
[6,2,3,5,4,1,7]=>000001=>6
[6,2,3,5,4,7,1]=>000000=>7
[6,2,3,5,7,1,4]=>000000=>7
[6,2,3,5,7,4,1]=>000000=>7
[6,2,3,7,1,4,5]=>000000=>7
[6,2,3,7,1,5,4]=>000000=>7
[6,2,3,7,4,1,5]=>000000=>7
[6,2,3,7,4,5,1]=>000000=>7
[6,2,3,7,5,1,4]=>000000=>7
[6,2,3,7,5,4,1]=>000000=>7
[6,2,4,1,3,5,7]=>000001=>6
[6,2,4,1,3,7,5]=>000000=>7
[6,2,4,1,5,3,7]=>000001=>6
[6,2,4,1,5,7,3]=>000000=>7
[6,2,4,1,7,3,5]=>000000=>7
[6,2,4,1,7,5,3]=>000000=>7
[6,2,4,3,1,5,7]=>000001=>6
[6,2,4,3,1,7,5]=>000000=>7
[6,2,4,3,5,1,7]=>000001=>6
[6,2,4,3,5,7,1]=>000000=>7
[6,2,4,3,7,1,5]=>000000=>7
[6,2,4,3,7,5,1]=>000000=>7
[6,2,4,5,1,3,7]=>000001=>6
[6,2,4,5,1,7,3]=>000000=>7
[6,2,4,5,3,1,7]=>000001=>6
[6,2,4,5,3,7,1]=>000000=>7
[6,2,4,5,7,1,3]=>000000=>7
[6,2,4,5,7,3,1]=>000000=>7
[6,2,4,7,1,3,5]=>000000=>7
[6,2,4,7,1,5,3]=>000000=>7
[6,2,4,7,3,1,5]=>000000=>7
[6,2,4,7,3,5,1]=>000000=>7
[6,2,4,7,5,1,3]=>000000=>7
[6,2,4,7,5,3,1]=>000000=>7
[6,2,5,1,3,4,7]=>000001=>6
[6,2,5,1,3,7,4]=>000000=>7
[6,2,5,1,4,3,7]=>000001=>6
[6,2,5,1,4,7,3]=>000000=>7
[6,2,5,1,7,3,4]=>000000=>7
[6,2,5,1,7,4,3]=>000000=>7
[6,2,5,3,1,4,7]=>000001=>6
[6,2,5,3,1,7,4]=>000000=>7
[6,2,5,3,4,1,7]=>000001=>6
[6,2,5,3,4,7,1]=>000000=>7
[6,2,5,3,7,1,4]=>000000=>7
[6,2,5,3,7,4,1]=>000000=>7
[6,2,5,4,1,3,7]=>000001=>6
[6,2,5,4,1,7,3]=>000000=>7
[6,2,5,4,3,1,7]=>000001=>6
[6,2,5,4,3,7,1]=>000000=>7
[6,2,5,4,7,1,3]=>000000=>7
[6,2,5,4,7,3,1]=>000000=>7
[6,2,5,7,1,3,4]=>000000=>7
[6,2,5,7,1,4,3]=>000000=>7
[6,2,5,7,3,1,4]=>000000=>7
[6,2,5,7,3,4,1]=>000000=>7
[6,2,5,7,4,1,3]=>000000=>7
[6,2,5,7,4,3,1]=>000000=>7
[6,2,7,1,3,4,5]=>000000=>7
[6,2,7,1,3,5,4]=>000000=>7
[6,2,7,1,4,3,5]=>000000=>7
[6,2,7,1,4,5,3]=>000000=>7
[6,2,7,1,5,3,4]=>000000=>7
[6,2,7,1,5,4,3]=>000000=>7
[6,2,7,3,1,4,5]=>000000=>7
[6,2,7,3,1,5,4]=>000000=>7
[6,2,7,3,4,1,5]=>000000=>7
[6,2,7,3,4,5,1]=>000000=>7
[6,2,7,3,5,1,4]=>000000=>7
[6,2,7,3,5,4,1]=>000000=>7
[6,2,7,4,1,3,5]=>000000=>7
[6,2,7,4,1,5,3]=>000000=>7
[6,2,7,4,3,1,5]=>000000=>7
[6,2,7,4,3,5,1]=>000000=>7
[6,2,7,4,5,1,3]=>000000=>7
[6,2,7,4,5,3,1]=>000000=>7
[6,2,7,5,1,3,4]=>000000=>7
[6,2,7,5,1,4,3]=>000000=>7
[6,2,7,5,3,1,4]=>000000=>7
[6,2,7,5,3,4,1]=>000000=>7
[6,2,7,5,4,1,3]=>000000=>7
[6,2,7,5,4,3,1]=>000000=>7
[6,3,1,2,4,5,7]=>000001=>6
[6,3,1,2,4,7,5]=>000000=>7
[6,3,1,2,5,4,7]=>000001=>6
[6,3,1,2,5,7,4]=>000000=>7
[6,3,1,2,7,4,5]=>000000=>7
[6,3,1,2,7,5,4]=>000000=>7
[6,3,1,4,2,5,7]=>000001=>6
[6,3,1,4,2,7,5]=>000000=>7
[6,3,1,4,5,2,7]=>000001=>6
[6,3,1,4,5,7,2]=>000000=>7
[6,3,1,4,7,2,5]=>000000=>7
[6,3,1,4,7,5,2]=>000000=>7
[6,3,1,5,2,4,7]=>000001=>6
[6,3,1,5,2,7,4]=>000000=>7
[6,3,1,5,4,2,7]=>000001=>6
[6,3,1,5,4,7,2]=>000000=>7
[6,3,1,5,7,2,4]=>000000=>7
[6,3,1,5,7,4,2]=>000000=>7
[6,3,1,7,2,4,5]=>000000=>7
[6,3,1,7,2,5,4]=>000000=>7
[6,3,1,7,4,2,5]=>000000=>7
[6,3,1,7,4,5,2]=>000000=>7
[6,3,1,7,5,2,4]=>000000=>7
[6,3,1,7,5,4,2]=>000000=>7
[6,3,2,1,4,5,7]=>000001=>6
[6,3,2,1,4,7,5]=>000000=>7
[6,3,2,1,5,4,7]=>000001=>6
[6,3,2,1,5,7,4]=>000000=>7
[6,3,2,1,7,4,5]=>000000=>7
[6,3,2,1,7,5,4]=>000000=>7
[6,3,2,4,1,5,7]=>000001=>6
[6,3,2,4,1,7,5]=>000000=>7
[6,3,2,4,5,1,7]=>000001=>6
[6,3,2,4,5,7,1]=>000000=>7
[6,3,2,4,7,1,5]=>000000=>7
[6,3,2,4,7,5,1]=>000000=>7
[6,3,2,5,1,4,7]=>000001=>6
[6,3,2,5,1,7,4]=>000000=>7
[6,3,2,5,4,1,7]=>000001=>6
[6,3,2,5,4,7,1]=>000000=>7
[6,3,2,5,7,1,4]=>000000=>7
[6,3,2,5,7,4,1]=>000000=>7
[6,3,2,7,1,4,5]=>000000=>7
[6,3,2,7,1,5,4]=>000000=>7
[6,3,2,7,4,1,5]=>000000=>7
[6,3,2,7,4,5,1]=>000000=>7
[6,3,2,7,5,1,4]=>000000=>7
[6,3,2,7,5,4,1]=>000000=>7
[6,3,4,1,2,5,7]=>000001=>6
[6,3,4,1,2,7,5]=>000000=>7
[6,3,4,1,5,2,7]=>000001=>6
[6,3,4,1,5,7,2]=>000000=>7
[6,3,4,1,7,2,5]=>000000=>7
[6,3,4,1,7,5,2]=>000000=>7
[6,3,4,2,1,5,7]=>000001=>6
[6,3,4,2,1,7,5]=>000000=>7
[6,3,4,2,5,1,7]=>000001=>6
[6,3,4,2,5,7,1]=>000000=>7
[6,3,4,2,7,1,5]=>000000=>7
[6,3,4,2,7,5,1]=>000000=>7
[6,3,4,5,1,2,7]=>000001=>6
[6,3,4,5,1,7,2]=>000000=>7
[6,3,4,5,2,1,7]=>000001=>6
[6,3,4,5,2,7,1]=>000000=>7
[6,3,4,5,7,1,2]=>000000=>7
[6,3,4,5,7,2,1]=>000000=>7
[6,3,4,7,1,2,5]=>000000=>7
[6,3,4,7,1,5,2]=>000000=>7
[6,3,4,7,2,1,5]=>000000=>7
[6,3,4,7,2,5,1]=>000000=>7
[6,3,4,7,5,1,2]=>000000=>7
[6,3,4,7,5,2,1]=>000000=>7
[6,3,5,1,2,4,7]=>000001=>6
[6,3,5,1,2,7,4]=>000000=>7
[6,3,5,1,4,2,7]=>000001=>6
[6,3,5,1,4,7,2]=>000000=>7
[6,3,5,1,7,2,4]=>000000=>7
[6,3,5,1,7,4,2]=>000000=>7
[6,3,5,2,1,4,7]=>000001=>6
[6,3,5,2,1,7,4]=>000000=>7
[6,3,5,2,4,1,7]=>000001=>6
[6,3,5,2,4,7,1]=>000000=>7
[6,3,5,2,7,1,4]=>000000=>7
[6,3,5,2,7,4,1]=>000000=>7
[6,3,5,4,1,2,7]=>000001=>6
[6,3,5,4,1,7,2]=>000000=>7
[6,3,5,4,2,1,7]=>000001=>6
[6,3,5,4,2,7,1]=>000000=>7
[6,3,5,4,7,1,2]=>000000=>7
[6,3,5,4,7,2,1]=>000000=>7
[6,3,5,7,1,2,4]=>000000=>7
[6,3,5,7,1,4,2]=>000000=>7
[6,3,5,7,2,1,4]=>000000=>7
[6,3,5,7,2,4,1]=>000000=>7
[6,3,5,7,4,1,2]=>000000=>7
[6,3,5,7,4,2,1]=>000000=>7
[6,3,7,1,2,4,5]=>000000=>7
[6,3,7,1,2,5,4]=>000000=>7
[6,3,7,1,4,2,5]=>000000=>7
[6,3,7,1,4,5,2]=>000000=>7
[6,3,7,1,5,2,4]=>000000=>7
[6,3,7,1,5,4,2]=>000000=>7
[6,3,7,2,1,4,5]=>000000=>7
[6,3,7,2,1,5,4]=>000000=>7
[6,3,7,2,4,1,5]=>000000=>7
[6,3,7,2,4,5,1]=>000000=>7
[6,3,7,2,5,1,4]=>000000=>7
[6,3,7,2,5,4,1]=>000000=>7
[6,3,7,4,1,2,5]=>000000=>7
[6,3,7,4,1,5,2]=>000000=>7
[6,3,7,4,2,1,5]=>000000=>7
[6,3,7,4,2,5,1]=>000000=>7
[6,3,7,4,5,1,2]=>000000=>7
[6,3,7,4,5,2,1]=>000000=>7
[6,3,7,5,1,2,4]=>000000=>7
[6,3,7,5,1,4,2]=>000000=>7
[6,3,7,5,2,1,4]=>000000=>7
[6,3,7,5,2,4,1]=>000000=>7
[6,3,7,5,4,1,2]=>000000=>7
[6,3,7,5,4,2,1]=>000000=>7
[6,4,1,2,3,5,7]=>000001=>6
[6,4,1,2,3,7,5]=>000000=>7
[6,4,1,2,5,3,7]=>000001=>6
[6,4,1,2,5,7,3]=>000000=>7
[6,4,1,2,7,3,5]=>000000=>7
[6,4,1,2,7,5,3]=>000000=>7
[6,4,1,3,2,5,7]=>000001=>6
[6,4,1,3,2,7,5]=>000000=>7
[6,4,1,3,5,2,7]=>000001=>6
[6,4,1,3,5,7,2]=>000000=>7
[6,4,1,3,7,2,5]=>000000=>7
[6,4,1,3,7,5,2]=>000000=>7
[6,4,1,5,2,3,7]=>000001=>6
[6,4,1,5,2,7,3]=>000000=>7
[6,4,1,5,3,2,7]=>000001=>6
[6,4,1,5,3,7,2]=>000000=>7
[6,4,1,5,7,2,3]=>000000=>7
[6,4,1,5,7,3,2]=>000000=>7
[6,4,1,7,2,3,5]=>000000=>7
[6,4,1,7,2,5,3]=>000000=>7
[6,4,1,7,3,2,5]=>000000=>7
[6,4,1,7,3,5,2]=>000000=>7
[6,4,1,7,5,2,3]=>000000=>7
[6,4,1,7,5,3,2]=>000000=>7
[6,4,2,1,3,5,7]=>000001=>6
[6,4,2,1,3,7,5]=>000000=>7
[6,4,2,1,5,3,7]=>000001=>6
[6,4,2,1,5,7,3]=>000000=>7
[6,4,2,1,7,3,5]=>000000=>7
[6,4,2,1,7,5,3]=>000000=>7
[6,4,2,3,1,5,7]=>000001=>6
[6,4,2,3,1,7,5]=>000000=>7
[6,4,2,3,5,1,7]=>000001=>6
[6,4,2,3,5,7,1]=>000000=>7
[6,4,2,3,7,1,5]=>000000=>7
[6,4,2,3,7,5,1]=>000000=>7
[6,4,2,5,1,3,7]=>000001=>6
[6,4,2,5,1,7,3]=>000000=>7
[6,4,2,5,3,1,7]=>000001=>6
[6,4,2,5,3,7,1]=>000000=>7
[6,4,2,5,7,1,3]=>000000=>7
[6,4,2,5,7,3,1]=>000000=>7
[6,4,2,7,1,3,5]=>000000=>7
[6,4,2,7,1,5,3]=>000000=>7
[6,4,2,7,3,1,5]=>000000=>7
[6,4,2,7,3,5,1]=>000000=>7
[6,4,2,7,5,1,3]=>000000=>7
[6,4,2,7,5,3,1]=>000000=>7
[6,4,3,1,2,5,7]=>000001=>6
[6,4,3,1,2,7,5]=>000000=>7
[6,4,3,1,5,2,7]=>000001=>6
[6,4,3,1,5,7,2]=>000000=>7
[6,4,3,1,7,2,5]=>000000=>7
[6,4,3,1,7,5,2]=>000000=>7
[6,4,3,2,1,5,7]=>000001=>6
[6,4,3,2,1,7,5]=>000000=>7
[6,4,3,2,5,1,7]=>000001=>6
[6,4,3,2,5,7,1]=>000000=>7
[6,4,3,2,7,1,5]=>000000=>7
[6,4,3,2,7,5,1]=>000000=>7
[6,4,3,5,1,2,7]=>000001=>6
[6,4,3,5,1,7,2]=>000000=>7
[6,4,3,5,2,1,7]=>000001=>6
[6,4,3,5,2,7,1]=>000000=>7
[6,4,3,5,7,1,2]=>000000=>7
[6,4,3,5,7,2,1]=>000000=>7
[6,4,3,7,1,2,5]=>000000=>7
[6,4,3,7,1,5,2]=>000000=>7
[6,4,3,7,2,1,5]=>000000=>7
[6,4,3,7,2,5,1]=>000000=>7
[6,4,3,7,5,1,2]=>000000=>7
[6,4,3,7,5,2,1]=>000000=>7
[6,4,5,1,2,3,7]=>000001=>6
[6,4,5,1,2,7,3]=>000000=>7
[6,4,5,1,3,2,7]=>000001=>6
[6,4,5,1,3,7,2]=>000000=>7
[6,4,5,1,7,2,3]=>000000=>7
[6,4,5,1,7,3,2]=>000000=>7
[6,4,5,2,1,3,7]=>000001=>6
[6,4,5,2,1,7,3]=>000000=>7
[6,4,5,2,3,1,7]=>000001=>6
[6,4,5,2,3,7,1]=>000000=>7
[6,4,5,2,7,1,3]=>000000=>7
[6,4,5,2,7,3,1]=>000000=>7
[6,4,5,3,1,2,7]=>000001=>6
[6,4,5,3,1,7,2]=>000000=>7
[6,4,5,3,2,1,7]=>000001=>6
[6,4,5,3,2,7,1]=>000000=>7
[6,4,5,3,7,1,2]=>000000=>7
[6,4,5,3,7,2,1]=>000000=>7
[6,4,5,7,1,2,3]=>000000=>7
[6,4,5,7,1,3,2]=>000000=>7
[6,4,5,7,2,1,3]=>000000=>7
[6,4,5,7,2,3,1]=>000000=>7
[6,4,5,7,3,1,2]=>000000=>7
[6,4,5,7,3,2,1]=>000000=>7
[6,4,7,1,2,3,5]=>000000=>7
[6,4,7,1,2,5,3]=>000000=>7
[6,4,7,1,3,2,5]=>000000=>7
[6,4,7,1,3,5,2]=>000000=>7
[6,4,7,1,5,2,3]=>000000=>7
[6,4,7,1,5,3,2]=>000000=>7
[6,4,7,2,1,3,5]=>000000=>7
[6,4,7,2,1,5,3]=>000000=>7
[6,4,7,2,3,1,5]=>000000=>7
[6,4,7,2,3,5,1]=>000000=>7
[6,4,7,2,5,1,3]=>000000=>7
[6,4,7,2,5,3,1]=>000000=>7
[6,4,7,3,1,2,5]=>000000=>7
[6,4,7,3,1,5,2]=>000000=>7
[6,4,7,3,2,1,5]=>000000=>7
[6,4,7,3,2,5,1]=>000000=>7
[6,4,7,3,5,1,2]=>000000=>7
[6,4,7,3,5,2,1]=>000000=>7
[6,4,7,5,1,2,3]=>000000=>7
[6,4,7,5,1,3,2]=>000000=>7
[6,4,7,5,2,1,3]=>000000=>7
[6,4,7,5,2,3,1]=>000000=>7
[6,4,7,5,3,1,2]=>000000=>7
[6,4,7,5,3,2,1]=>000000=>7
[6,5,1,2,3,4,7]=>000001=>6
[6,5,1,2,3,7,4]=>000000=>7
[6,5,1,2,4,3,7]=>000001=>6
[6,5,1,2,4,7,3]=>000000=>7
[6,5,1,2,7,3,4]=>000000=>7
[6,5,1,2,7,4,3]=>000000=>7
[6,5,1,3,2,4,7]=>000001=>6
[6,5,1,3,2,7,4]=>000000=>7
[6,5,1,3,4,2,7]=>000001=>6
[6,5,1,3,4,7,2]=>000000=>7
[6,5,1,3,7,2,4]=>000000=>7
[6,5,1,3,7,4,2]=>000000=>7
[6,5,1,4,2,3,7]=>000001=>6
[6,5,1,4,2,7,3]=>000000=>7
[6,5,1,4,3,2,7]=>000001=>6
[6,5,1,4,3,7,2]=>000000=>7
[6,5,1,4,7,2,3]=>000000=>7
[6,5,1,4,7,3,2]=>000000=>7
[6,5,1,7,2,3,4]=>000000=>7
[6,5,1,7,2,4,3]=>000000=>7
[6,5,1,7,3,2,4]=>000000=>7
[6,5,1,7,3,4,2]=>000000=>7
[6,5,1,7,4,2,3]=>000000=>7
[6,5,1,7,4,3,2]=>000000=>7
[6,5,2,1,3,4,7]=>000001=>6
[6,5,2,1,3,7,4]=>000000=>7
[6,5,2,1,4,3,7]=>000001=>6
[6,5,2,1,4,7,3]=>000000=>7
[6,5,2,1,7,3,4]=>000000=>7
[6,5,2,1,7,4,3]=>000000=>7
[6,5,2,3,1,4,7]=>000001=>6
[6,5,2,3,1,7,4]=>000000=>7
[6,5,2,3,4,1,7]=>000001=>6
[6,5,2,3,4,7,1]=>000000=>7
[6,5,2,3,7,1,4]=>000000=>7
[6,5,2,3,7,4,1]=>000000=>7
[6,5,2,4,1,3,7]=>000001=>6
[6,5,2,4,1,7,3]=>000000=>7
[6,5,2,4,3,1,7]=>000001=>6
[6,5,2,4,3,7,1]=>000000=>7
[6,5,2,4,7,1,3]=>000000=>7
[6,5,2,4,7,3,1]=>000000=>7
[6,5,2,7,1,3,4]=>000000=>7
[6,5,2,7,1,4,3]=>000000=>7
[6,5,2,7,3,1,4]=>000000=>7
[6,5,2,7,3,4,1]=>000000=>7
[6,5,2,7,4,1,3]=>000000=>7
[6,5,2,7,4,3,1]=>000000=>7
[6,5,3,1,2,4,7]=>000001=>6
[6,5,3,1,2,7,4]=>000000=>7
[6,5,3,1,4,2,7]=>000001=>6
[6,5,3,1,4,7,2]=>000000=>7
[6,5,3,1,7,2,4]=>000000=>7
[6,5,3,1,7,4,2]=>000000=>7
[6,5,3,2,1,4,7]=>000001=>6
[6,5,3,2,1,7,4]=>000000=>7
[6,5,3,2,4,1,7]=>000001=>6
[6,5,3,2,4,7,1]=>000000=>7
[6,5,3,2,7,1,4]=>000000=>7
[6,5,3,2,7,4,1]=>000000=>7
[6,5,3,4,1,2,7]=>000001=>6
[6,5,3,4,1,7,2]=>000000=>7
[6,5,3,4,2,1,7]=>000001=>6
[6,5,3,4,2,7,1]=>000000=>7
[6,5,3,4,7,1,2]=>000000=>7
[6,5,3,4,7,2,1]=>000000=>7
[6,5,3,7,1,2,4]=>000000=>7
[6,5,3,7,1,4,2]=>000000=>7
[6,5,3,7,2,1,4]=>000000=>7
[6,5,3,7,2,4,1]=>000000=>7
[6,5,3,7,4,1,2]=>000000=>7
[6,5,3,7,4,2,1]=>000000=>7
[6,5,4,1,2,3,7]=>000001=>6
[6,5,4,1,2,7,3]=>000000=>7
[6,5,4,1,3,2,7]=>000001=>6
[6,5,4,1,3,7,2]=>000000=>7
[6,5,4,1,7,2,3]=>000000=>7
[6,5,4,1,7,3,2]=>000000=>7
[6,5,4,2,1,3,7]=>000001=>6
[6,5,4,2,1,7,3]=>000000=>7
[6,5,4,2,3,1,7]=>000001=>6
[6,5,4,2,3,7,1]=>000000=>7
[6,5,4,2,7,1,3]=>000000=>7
[6,5,4,2,7,3,1]=>000000=>7
[6,5,4,3,1,2,7]=>000001=>6
[6,5,4,3,1,7,2]=>000000=>7
[6,5,4,3,2,1,7]=>000001=>6
[6,5,4,3,2,7,1]=>000000=>7
[6,5,4,3,7,1,2]=>000000=>7
[6,5,4,3,7,2,1]=>000000=>7
[6,5,4,7,1,2,3]=>000000=>7
[6,5,4,7,1,3,2]=>000000=>7
[6,5,4,7,2,1,3]=>000000=>7
[6,5,4,7,2,3,1]=>000000=>7
[6,5,4,7,3,1,2]=>000000=>7
[6,5,4,7,3,2,1]=>000000=>7
[6,5,7,1,2,3,4]=>000000=>7
[6,5,7,1,2,4,3]=>000000=>7
[6,5,7,1,3,2,4]=>000000=>7
[6,5,7,1,3,4,2]=>000000=>7
[6,5,7,1,4,2,3]=>000000=>7
[6,5,7,1,4,3,2]=>000000=>7
[6,5,7,2,1,3,4]=>000000=>7
[6,5,7,2,1,4,3]=>000000=>7
[6,5,7,2,3,1,4]=>000000=>7
[6,5,7,2,3,4,1]=>000000=>7
[6,5,7,2,4,1,3]=>000000=>7
[6,5,7,2,4,3,1]=>000000=>7
[6,5,7,3,1,2,4]=>000000=>7
[6,5,7,3,1,4,2]=>000000=>7
[6,5,7,3,2,1,4]=>000000=>7
[6,5,7,3,2,4,1]=>000000=>7
[6,5,7,3,4,1,2]=>000000=>7
[6,5,7,3,4,2,1]=>000000=>7
[6,5,7,4,1,2,3]=>000000=>7
[6,5,7,4,1,3,2]=>000000=>7
[6,5,7,4,2,1,3]=>000000=>7
[6,5,7,4,2,3,1]=>000000=>7
[6,5,7,4,3,1,2]=>000000=>7
[6,5,7,4,3,2,1]=>000000=>7
[6,7,1,2,3,4,5]=>000000=>7
[6,7,1,2,3,5,4]=>000000=>7
[6,7,1,2,4,3,5]=>000000=>7
[6,7,1,2,4,5,3]=>000000=>7
[6,7,1,2,5,3,4]=>000000=>7
[6,7,1,2,5,4,3]=>000000=>7
[6,7,1,3,2,4,5]=>000000=>7
[6,7,1,3,2,5,4]=>000000=>7
[6,7,1,3,4,2,5]=>000000=>7
[6,7,1,3,4,5,2]=>000000=>7
[6,7,1,3,5,2,4]=>000000=>7
[6,7,1,3,5,4,2]=>000000=>7
[6,7,1,4,2,3,5]=>000000=>7
[6,7,1,4,2,5,3]=>000000=>7
[6,7,1,4,3,2,5]=>000000=>7
[6,7,1,4,3,5,2]=>000000=>7
[6,7,1,4,5,2,3]=>000000=>7
[6,7,1,4,5,3,2]=>000000=>7
[6,7,1,5,2,3,4]=>000000=>7
[6,7,1,5,2,4,3]=>000000=>7
[6,7,1,5,3,2,4]=>000000=>7
[6,7,1,5,3,4,2]=>000000=>7
[6,7,1,5,4,2,3]=>000000=>7
[6,7,1,5,4,3,2]=>000000=>7
[6,7,2,1,3,4,5]=>000000=>7
[6,7,2,1,3,5,4]=>000000=>7
[6,7,2,1,4,3,5]=>000000=>7
[6,7,2,1,4,5,3]=>000000=>7
[6,7,2,1,5,3,4]=>000000=>7
[6,7,2,1,5,4,3]=>000000=>7
[6,7,2,3,1,4,5]=>000000=>7
[6,7,2,3,1,5,4]=>000000=>7
[6,7,2,3,4,1,5]=>000000=>7
[6,7,2,3,4,5,1]=>000000=>7
[6,7,2,3,5,1,4]=>000000=>7
[6,7,2,3,5,4,1]=>000000=>7
[6,7,2,4,1,3,5]=>000000=>7
[6,7,2,4,1,5,3]=>000000=>7
[6,7,2,4,3,1,5]=>000000=>7
[6,7,2,4,3,5,1]=>000000=>7
[6,7,2,4,5,1,3]=>000000=>7
[6,7,2,4,5,3,1]=>000000=>7
[6,7,2,5,1,3,4]=>000000=>7
[6,7,2,5,1,4,3]=>000000=>7
[6,7,2,5,3,1,4]=>000000=>7
[6,7,2,5,3,4,1]=>000000=>7
[6,7,2,5,4,1,3]=>000000=>7
[6,7,2,5,4,3,1]=>000000=>7
[6,7,3,1,2,4,5]=>000000=>7
[6,7,3,1,2,5,4]=>000000=>7
[6,7,3,1,4,2,5]=>000000=>7
[6,7,3,1,4,5,2]=>000000=>7
[6,7,3,1,5,2,4]=>000000=>7
[6,7,3,1,5,4,2]=>000000=>7
[6,7,3,2,1,4,5]=>000000=>7
[6,7,3,2,1,5,4]=>000000=>7
[6,7,3,2,4,1,5]=>000000=>7
[6,7,3,2,4,5,1]=>000000=>7
[6,7,3,2,5,1,4]=>000000=>7
[6,7,3,2,5,4,1]=>000000=>7
[6,7,3,4,1,2,5]=>000000=>7
[6,7,3,4,1,5,2]=>000000=>7
[6,7,3,4,2,1,5]=>000000=>7
[6,7,3,4,2,5,1]=>000000=>7
[6,7,3,4,5,1,2]=>000000=>7
[6,7,3,4,5,2,1]=>000000=>7
[6,7,3,5,1,2,4]=>000000=>7
[6,7,3,5,1,4,2]=>000000=>7
[6,7,3,5,2,1,4]=>000000=>7
[6,7,3,5,2,4,1]=>000000=>7
[6,7,3,5,4,1,2]=>000000=>7
[6,7,3,5,4,2,1]=>000000=>7
[6,7,4,1,2,3,5]=>000000=>7
[6,7,4,1,2,5,3]=>000000=>7
[6,7,4,1,3,2,5]=>000000=>7
[6,7,4,1,3,5,2]=>000000=>7
[6,7,4,1,5,2,3]=>000000=>7
[6,7,4,1,5,3,2]=>000000=>7
[6,7,4,2,1,3,5]=>000000=>7
[6,7,4,2,1,5,3]=>000000=>7
[6,7,4,2,3,1,5]=>000000=>7
[6,7,4,2,3,5,1]=>000000=>7
[6,7,4,2,5,1,3]=>000000=>7
[6,7,4,2,5,3,1]=>000000=>7
[6,7,4,3,1,2,5]=>000000=>7
[6,7,4,3,1,5,2]=>000000=>7
[6,7,4,3,2,1,5]=>000000=>7
[6,7,4,3,2,5,1]=>000000=>7
[6,7,4,3,5,1,2]=>000000=>7
[6,7,4,3,5,2,1]=>000000=>7
[6,7,4,5,1,2,3]=>000000=>7
[6,7,4,5,1,3,2]=>000000=>7
[6,7,4,5,2,1,3]=>000000=>7
[6,7,4,5,2,3,1]=>000000=>7
[6,7,4,5,3,1,2]=>000000=>7
[6,7,4,5,3,2,1]=>000000=>7
[6,7,5,1,2,3,4]=>000000=>7
[6,7,5,1,2,4,3]=>000000=>7
[6,7,5,1,3,2,4]=>000000=>7
[6,7,5,1,3,4,2]=>000000=>7
[6,7,5,1,4,2,3]=>000000=>7
[6,7,5,1,4,3,2]=>000000=>7
[6,7,5,2,1,3,4]=>000000=>7
[6,7,5,2,1,4,3]=>000000=>7
[6,7,5,2,3,1,4]=>000000=>7
[6,7,5,2,3,4,1]=>000000=>7
[6,7,5,2,4,1,3]=>000000=>7
[6,7,5,2,4,3,1]=>000000=>7
[6,7,5,3,1,2,4]=>000000=>7
[6,7,5,3,1,4,2]=>000000=>7
[6,7,5,3,2,1,4]=>000000=>7
[6,7,5,3,2,4,1]=>000000=>7
[6,7,5,3,4,1,2]=>000000=>7
[6,7,5,3,4,2,1]=>000000=>7
[6,7,5,4,1,2,3]=>000000=>7
[6,7,5,4,1,3,2]=>000000=>7
[6,7,5,4,2,1,3]=>000000=>7
[6,7,5,4,2,3,1]=>000000=>7
[6,7,5,4,3,1,2]=>000000=>7
[6,7,5,4,3,2,1]=>000000=>7
[7,1,2,3,4,5,6]=>000000=>7
[7,1,2,3,4,6,5]=>000000=>7
[7,1,2,3,5,4,6]=>000000=>7
[7,1,2,3,5,6,4]=>000000=>7
[7,1,2,3,6,4,5]=>000000=>7
[7,1,2,3,6,5,4]=>000000=>7
[7,1,2,4,3,5,6]=>000000=>7
[7,1,2,4,3,6,5]=>000000=>7
[7,1,2,4,5,3,6]=>000000=>7
[7,1,2,4,5,6,3]=>000000=>7
[7,1,2,4,6,3,5]=>000000=>7
[7,1,2,4,6,5,3]=>000000=>7
[7,1,2,5,3,4,6]=>000000=>7
[7,1,2,5,3,6,4]=>000000=>7
[7,1,2,5,4,3,6]=>000000=>7
[7,1,2,5,4,6,3]=>000000=>7
[7,1,2,5,6,3,4]=>000000=>7
[7,1,2,5,6,4,3]=>000000=>7
[7,1,2,6,3,4,5]=>000000=>7
[7,1,2,6,3,5,4]=>000000=>7
[7,1,2,6,4,3,5]=>000000=>7
[7,1,2,6,4,5,3]=>000000=>7
[7,1,2,6,5,3,4]=>000000=>7
[7,1,2,6,5,4,3]=>000000=>7
[7,1,3,2,4,5,6]=>000000=>7
[7,1,3,2,4,6,5]=>000000=>7
[7,1,3,2,5,4,6]=>000000=>7
[7,1,3,2,5,6,4]=>000000=>7
[7,1,3,2,6,4,5]=>000000=>7
[7,1,3,2,6,5,4]=>000000=>7
[7,1,3,4,2,5,6]=>000000=>7
[7,1,3,4,2,6,5]=>000000=>7
[7,1,3,4,5,2,6]=>000000=>7
[7,1,3,4,5,6,2]=>000000=>7
[7,1,3,4,6,2,5]=>000000=>7
[7,1,3,4,6,5,2]=>000000=>7
[7,1,3,5,2,4,6]=>000000=>7
[7,1,3,5,2,6,4]=>000000=>7
[7,1,3,5,4,2,6]=>000000=>7
[7,1,3,5,4,6,2]=>000000=>7
[7,1,3,5,6,2,4]=>000000=>7
[7,1,3,5,6,4,2]=>000000=>7
[7,1,3,6,2,4,5]=>000000=>7
[7,1,3,6,2,5,4]=>000000=>7
[7,1,3,6,4,2,5]=>000000=>7
[7,1,3,6,4,5,2]=>000000=>7
[7,1,3,6,5,2,4]=>000000=>7
[7,1,3,6,5,4,2]=>000000=>7
[7,1,4,2,3,5,6]=>000000=>7
[7,1,4,2,3,6,5]=>000000=>7
[7,1,4,2,5,3,6]=>000000=>7
[7,1,4,2,5,6,3]=>000000=>7
[7,1,4,2,6,3,5]=>000000=>7
[7,1,4,2,6,5,3]=>000000=>7
[7,1,4,3,2,5,6]=>000000=>7
[7,1,4,3,2,6,5]=>000000=>7
[7,1,4,3,5,2,6]=>000000=>7
[7,1,4,3,5,6,2]=>000000=>7
[7,1,4,3,6,2,5]=>000000=>7
[7,1,4,3,6,5,2]=>000000=>7
[7,1,4,5,2,3,6]=>000000=>7
[7,1,4,5,2,6,3]=>000000=>7
[7,1,4,5,3,2,6]=>000000=>7
[7,1,4,5,3,6,2]=>000000=>7
[7,1,4,5,6,2,3]=>000000=>7
[7,1,4,5,6,3,2]=>000000=>7
[7,1,4,6,2,3,5]=>000000=>7
[7,1,4,6,2,5,3]=>000000=>7
[7,1,4,6,3,2,5]=>000000=>7
[7,1,4,6,3,5,2]=>000000=>7
[7,1,4,6,5,2,3]=>000000=>7
[7,1,4,6,5,3,2]=>000000=>7
[7,1,5,2,3,4,6]=>000000=>7
[7,1,5,2,3,6,4]=>000000=>7
[7,1,5,2,4,3,6]=>000000=>7
[7,1,5,2,4,6,3]=>000000=>7
[7,1,5,2,6,3,4]=>000000=>7
[7,1,5,2,6,4,3]=>000000=>7
[7,1,5,3,2,4,6]=>000000=>7
[7,1,5,3,2,6,4]=>000000=>7
[7,1,5,3,4,2,6]=>000000=>7
[7,1,5,3,4,6,2]=>000000=>7
[7,1,5,3,6,2,4]=>000000=>7
[7,1,5,3,6,4,2]=>000000=>7
[7,1,5,4,2,3,6]=>000000=>7
[7,1,5,4,2,6,3]=>000000=>7
[7,1,5,4,3,2,6]=>000000=>7
[7,1,5,4,3,6,2]=>000000=>7
[7,1,5,4,6,2,3]=>000000=>7
[7,1,5,4,6,3,2]=>000000=>7
[7,1,5,6,2,3,4]=>000000=>7
[7,1,5,6,2,4,3]=>000000=>7
[7,1,5,6,3,2,4]=>000000=>7
[7,1,5,6,3,4,2]=>000000=>7
[7,1,5,6,4,2,3]=>000000=>7
[7,1,5,6,4,3,2]=>000000=>7
[7,1,6,2,3,4,5]=>000000=>7
[7,1,6,2,3,5,4]=>000000=>7
[7,1,6,2,4,3,5]=>000000=>7
[7,1,6,2,4,5,3]=>000000=>7
[7,1,6,2,5,3,4]=>000000=>7
[7,1,6,2,5,4,3]=>000000=>7
[7,1,6,3,2,4,5]=>000000=>7
[7,1,6,3,2,5,4]=>000000=>7
[7,1,6,3,4,2,5]=>000000=>7
[7,1,6,3,4,5,2]=>000000=>7
[7,1,6,3,5,2,4]=>000000=>7
[7,1,6,3,5,4,2]=>000000=>7
[7,1,6,4,2,3,5]=>000000=>7
[7,1,6,4,2,5,3]=>000000=>7
[7,1,6,4,3,2,5]=>000000=>7
[7,1,6,4,3,5,2]=>000000=>7
[7,1,6,4,5,2,3]=>000000=>7
[7,1,6,4,5,3,2]=>000000=>7
[7,1,6,5,2,3,4]=>000000=>7
[7,1,6,5,2,4,3]=>000000=>7
[7,1,6,5,3,2,4]=>000000=>7
[7,1,6,5,3,4,2]=>000000=>7
[7,1,6,5,4,2,3]=>000000=>7
[7,1,6,5,4,3,2]=>000000=>7
[7,2,1,3,4,5,6]=>000000=>7
[7,2,1,3,4,6,5]=>000000=>7
[7,2,1,3,5,4,6]=>000000=>7
[7,2,1,3,5,6,4]=>000000=>7
[7,2,1,3,6,4,5]=>000000=>7
[7,2,1,3,6,5,4]=>000000=>7
[7,2,1,4,3,5,6]=>000000=>7
[7,2,1,4,3,6,5]=>000000=>7
[7,2,1,4,5,3,6]=>000000=>7
[7,2,1,4,5,6,3]=>000000=>7
[7,2,1,4,6,3,5]=>000000=>7
[7,2,1,4,6,5,3]=>000000=>7
[7,2,1,5,3,4,6]=>000000=>7
[7,2,1,5,3,6,4]=>000000=>7
[7,2,1,5,4,3,6]=>000000=>7
[7,2,1,5,4,6,3]=>000000=>7
[7,2,1,5,6,3,4]=>000000=>7
[7,2,1,5,6,4,3]=>000000=>7
[7,2,1,6,3,4,5]=>000000=>7
[7,2,1,6,3,5,4]=>000000=>7
[7,2,1,6,4,3,5]=>000000=>7
[7,2,1,6,4,5,3]=>000000=>7
[7,2,1,6,5,3,4]=>000000=>7
[7,2,1,6,5,4,3]=>000000=>7
[7,2,3,1,4,5,6]=>000000=>7
[7,2,3,1,4,6,5]=>000000=>7
[7,2,3,1,5,4,6]=>000000=>7
[7,2,3,1,5,6,4]=>000000=>7
[7,2,3,1,6,4,5]=>000000=>7
[7,2,3,1,6,5,4]=>000000=>7
[7,2,3,4,1,5,6]=>000000=>7
[7,2,3,4,1,6,5]=>000000=>7
[7,2,3,4,5,1,6]=>000000=>7
[7,2,3,4,5,6,1]=>000000=>7
[7,2,3,4,6,1,5]=>000000=>7
[7,2,3,4,6,5,1]=>000000=>7
[7,2,3,5,1,4,6]=>000000=>7
[7,2,3,5,1,6,4]=>000000=>7
[7,2,3,5,4,1,6]=>000000=>7
[7,2,3,5,4,6,1]=>000000=>7
[7,2,3,5,6,1,4]=>000000=>7
[7,2,3,5,6,4,1]=>000000=>7
[7,2,3,6,1,4,5]=>000000=>7
[7,2,3,6,1,5,4]=>000000=>7
[7,2,3,6,4,1,5]=>000000=>7
[7,2,3,6,4,5,1]=>000000=>7
[7,2,3,6,5,1,4]=>000000=>7
[7,2,3,6,5,4,1]=>000000=>7
[7,2,4,1,3,5,6]=>000000=>7
[7,2,4,1,3,6,5]=>000000=>7
[7,2,4,1,5,3,6]=>000000=>7
[7,2,4,1,5,6,3]=>000000=>7
[7,2,4,1,6,3,5]=>000000=>7
[7,2,4,1,6,5,3]=>000000=>7
[7,2,4,3,1,5,6]=>000000=>7
[7,2,4,3,1,6,5]=>000000=>7
[7,2,4,3,5,1,6]=>000000=>7
[7,2,4,3,5,6,1]=>000000=>7
[7,2,4,3,6,1,5]=>000000=>7
[7,2,4,3,6,5,1]=>000000=>7
[7,2,4,5,1,3,6]=>000000=>7
[7,2,4,5,1,6,3]=>000000=>7
[7,2,4,5,3,1,6]=>000000=>7
[7,2,4,5,3,6,1]=>000000=>7
[7,2,4,5,6,1,3]=>000000=>7
[7,2,4,5,6,3,1]=>000000=>7
[7,2,4,6,1,3,5]=>000000=>7
[7,2,4,6,1,5,3]=>000000=>7
[7,2,4,6,3,1,5]=>000000=>7
[7,2,4,6,3,5,1]=>000000=>7
[7,2,4,6,5,1,3]=>000000=>7
[7,2,4,6,5,3,1]=>000000=>7
[7,2,5,1,3,4,6]=>000000=>7
[7,2,5,1,3,6,4]=>000000=>7
[7,2,5,1,4,3,6]=>000000=>7
[7,2,5,1,4,6,3]=>000000=>7
[7,2,5,1,6,3,4]=>000000=>7
[7,2,5,1,6,4,3]=>000000=>7
[7,2,5,3,1,4,6]=>000000=>7
[7,2,5,3,1,6,4]=>000000=>7
[7,2,5,3,4,1,6]=>000000=>7
[7,2,5,3,4,6,1]=>000000=>7
[7,2,5,3,6,1,4]=>000000=>7
[7,2,5,3,6,4,1]=>000000=>7
[7,2,5,4,1,3,6]=>000000=>7
[7,2,5,4,1,6,3]=>000000=>7
[7,2,5,4,3,1,6]=>000000=>7
[7,2,5,4,3,6,1]=>000000=>7
[7,2,5,4,6,1,3]=>000000=>7
[7,2,5,4,6,3,1]=>000000=>7
[7,2,5,6,1,3,4]=>000000=>7
[7,2,5,6,1,4,3]=>000000=>7
[7,2,5,6,3,1,4]=>000000=>7
[7,2,5,6,3,4,1]=>000000=>7
[7,2,5,6,4,1,3]=>000000=>7
[7,2,5,6,4,3,1]=>000000=>7
[7,2,6,1,3,4,5]=>000000=>7
[7,2,6,1,3,5,4]=>000000=>7
[7,2,6,1,4,3,5]=>000000=>7
[7,2,6,1,4,5,3]=>000000=>7
[7,2,6,1,5,3,4]=>000000=>7
[7,2,6,1,5,4,3]=>000000=>7
[7,2,6,3,1,4,5]=>000000=>7
[7,2,6,3,1,5,4]=>000000=>7
[7,2,6,3,4,1,5]=>000000=>7
[7,2,6,3,4,5,1]=>000000=>7
[7,2,6,3,5,1,4]=>000000=>7
[7,2,6,3,5,4,1]=>000000=>7
[7,2,6,4,1,3,5]=>000000=>7
[7,2,6,4,1,5,3]=>000000=>7
[7,2,6,4,3,1,5]=>000000=>7
[7,2,6,4,3,5,1]=>000000=>7
[7,2,6,4,5,1,3]=>000000=>7
[7,2,6,4,5,3,1]=>000000=>7
[7,2,6,5,1,3,4]=>000000=>7
[7,2,6,5,1,4,3]=>000000=>7
[7,2,6,5,3,1,4]=>000000=>7
[7,2,6,5,3,4,1]=>000000=>7
[7,2,6,5,4,1,3]=>000000=>7
[7,2,6,5,4,3,1]=>000000=>7
[7,3,1,2,4,5,6]=>000000=>7
[7,3,1,2,4,6,5]=>000000=>7
[7,3,1,2,5,4,6]=>000000=>7
[7,3,1,2,5,6,4]=>000000=>7
[7,3,1,2,6,4,5]=>000000=>7
[7,3,1,2,6,5,4]=>000000=>7
[7,3,1,4,2,5,6]=>000000=>7
[7,3,1,4,2,6,5]=>000000=>7
[7,3,1,4,5,2,6]=>000000=>7
[7,3,1,4,5,6,2]=>000000=>7
[7,3,1,4,6,2,5]=>000000=>7
[7,3,1,4,6,5,2]=>000000=>7
[7,3,1,5,2,4,6]=>000000=>7
[7,3,1,5,2,6,4]=>000000=>7
[7,3,1,5,4,2,6]=>000000=>7
[7,3,1,5,4,6,2]=>000000=>7
[7,3,1,5,6,2,4]=>000000=>7
[7,3,1,5,6,4,2]=>000000=>7
[7,3,1,6,2,4,5]=>000000=>7
[7,3,1,6,2,5,4]=>000000=>7
[7,3,1,6,4,2,5]=>000000=>7
[7,3,1,6,4,5,2]=>000000=>7
[7,3,1,6,5,2,4]=>000000=>7
[7,3,1,6,5,4,2]=>000000=>7
[7,3,2,1,4,5,6]=>000000=>7
[7,3,2,1,4,6,5]=>000000=>7
[7,3,2,1,5,4,6]=>000000=>7
[7,3,2,1,5,6,4]=>000000=>7
[7,3,2,1,6,4,5]=>000000=>7
[7,3,2,1,6,5,4]=>000000=>7
[7,3,2,4,1,5,6]=>000000=>7
[7,3,2,4,1,6,5]=>000000=>7
[7,3,2,4,5,1,6]=>000000=>7
[7,3,2,4,5,6,1]=>000000=>7
[7,3,2,4,6,1,5]=>000000=>7
[7,3,2,4,6,5,1]=>000000=>7
[7,3,2,5,1,4,6]=>000000=>7
[7,3,2,5,1,6,4]=>000000=>7
[7,3,2,5,4,1,6]=>000000=>7
[7,3,2,5,4,6,1]=>000000=>7
[7,3,2,5,6,1,4]=>000000=>7
[7,3,2,5,6,4,1]=>000000=>7
[7,3,2,6,1,4,5]=>000000=>7
[7,3,2,6,1,5,4]=>000000=>7
[7,3,2,6,4,1,5]=>000000=>7
[7,3,2,6,4,5,1]=>000000=>7
[7,3,2,6,5,1,4]=>000000=>7
[7,3,2,6,5,4,1]=>000000=>7
[7,3,4,1,2,5,6]=>000000=>7
[7,3,4,1,2,6,5]=>000000=>7
[7,3,4,1,5,2,6]=>000000=>7
[7,3,4,1,5,6,2]=>000000=>7
[7,3,4,1,6,2,5]=>000000=>7
[7,3,4,1,6,5,2]=>000000=>7
[7,3,4,2,1,5,6]=>000000=>7
[7,3,4,2,1,6,5]=>000000=>7
[7,3,4,2,5,1,6]=>000000=>7
[7,3,4,2,5,6,1]=>000000=>7
[7,3,4,2,6,1,5]=>000000=>7
[7,3,4,2,6,5,1]=>000000=>7
[7,3,4,5,1,2,6]=>000000=>7
[7,3,4,5,1,6,2]=>000000=>7
[7,3,4,5,2,1,6]=>000000=>7
[7,3,4,5,2,6,1]=>000000=>7
[7,3,4,5,6,1,2]=>000000=>7
[7,3,4,5,6,2,1]=>000000=>7
[7,3,4,6,1,2,5]=>000000=>7
[7,3,4,6,1,5,2]=>000000=>7
[7,3,4,6,2,1,5]=>000000=>7
[7,3,4,6,2,5,1]=>000000=>7
[7,3,4,6,5,1,2]=>000000=>7
[7,3,4,6,5,2,1]=>000000=>7
[7,3,5,1,2,4,6]=>000000=>7
[7,3,5,1,2,6,4]=>000000=>7
[7,3,5,1,4,2,6]=>000000=>7
[7,3,5,1,4,6,2]=>000000=>7
[7,3,5,1,6,2,4]=>000000=>7
[7,3,5,1,6,4,2]=>000000=>7
[7,3,5,2,1,4,6]=>000000=>7
[7,3,5,2,1,6,4]=>000000=>7
[7,3,5,2,4,1,6]=>000000=>7
[7,3,5,2,4,6,1]=>000000=>7
[7,3,5,2,6,1,4]=>000000=>7
[7,3,5,2,6,4,1]=>000000=>7
[7,3,5,4,1,2,6]=>000000=>7
[7,3,5,4,1,6,2]=>000000=>7
[7,3,5,4,2,1,6]=>000000=>7
[7,3,5,4,2,6,1]=>000000=>7
[7,3,5,4,6,1,2]=>000000=>7
[7,3,5,4,6,2,1]=>000000=>7
[7,3,5,6,1,2,4]=>000000=>7
[7,3,5,6,1,4,2]=>000000=>7
[7,3,5,6,2,1,4]=>000000=>7
[7,3,5,6,2,4,1]=>000000=>7
[7,3,5,6,4,1,2]=>000000=>7
[7,3,5,6,4,2,1]=>000000=>7
[7,3,6,1,2,4,5]=>000000=>7
[7,3,6,1,2,5,4]=>000000=>7
[7,3,6,1,4,2,5]=>000000=>7
[7,3,6,1,4,5,2]=>000000=>7
[7,3,6,1,5,2,4]=>000000=>7
[7,3,6,1,5,4,2]=>000000=>7
[7,3,6,2,1,4,5]=>000000=>7
[7,3,6,2,1,5,4]=>000000=>7
[7,3,6,2,4,1,5]=>000000=>7
[7,3,6,2,4,5,1]=>000000=>7
[7,3,6,2,5,1,4]=>000000=>7
[7,3,6,2,5,4,1]=>000000=>7
[7,3,6,4,1,2,5]=>000000=>7
[7,3,6,4,1,5,2]=>000000=>7
[7,3,6,4,2,1,5]=>000000=>7
[7,3,6,4,2,5,1]=>000000=>7
[7,3,6,4,5,1,2]=>000000=>7
[7,3,6,4,5,2,1]=>000000=>7
[7,3,6,5,1,2,4]=>000000=>7
[7,3,6,5,1,4,2]=>000000=>7
[7,3,6,5,2,1,4]=>000000=>7
[7,3,6,5,2,4,1]=>000000=>7
[7,3,6,5,4,1,2]=>000000=>7
[7,3,6,5,4,2,1]=>000000=>7
[7,4,1,2,3,5,6]=>000000=>7
[7,4,1,2,3,6,5]=>000000=>7
[7,4,1,2,5,3,6]=>000000=>7
[7,4,1,2,5,6,3]=>000000=>7
[7,4,1,2,6,3,5]=>000000=>7
[7,4,1,2,6,5,3]=>000000=>7
[7,4,1,3,2,5,6]=>000000=>7
[7,4,1,3,2,6,5]=>000000=>7
[7,4,1,3,5,2,6]=>000000=>7
[7,4,1,3,5,6,2]=>000000=>7
[7,4,1,3,6,2,5]=>000000=>7
[7,4,1,3,6,5,2]=>000000=>7
[7,4,1,5,2,3,6]=>000000=>7
[7,4,1,5,2,6,3]=>000000=>7
[7,4,1,5,3,2,6]=>000000=>7
[7,4,1,5,3,6,2]=>000000=>7
[7,4,1,5,6,2,3]=>000000=>7
[7,4,1,5,6,3,2]=>000000=>7
[7,4,1,6,2,3,5]=>000000=>7
[7,4,1,6,2,5,3]=>000000=>7
[7,4,1,6,3,2,5]=>000000=>7
[7,4,1,6,3,5,2]=>000000=>7
[7,4,1,6,5,2,3]=>000000=>7
[7,4,1,6,5,3,2]=>000000=>7
[7,4,2,1,3,5,6]=>000000=>7
[7,4,2,1,3,6,5]=>000000=>7
[7,4,2,1,5,3,6]=>000000=>7
[7,4,2,1,5,6,3]=>000000=>7
[7,4,2,1,6,3,5]=>000000=>7
[7,4,2,1,6,5,3]=>000000=>7
[7,4,2,3,1,5,6]=>000000=>7
[7,4,2,3,1,6,5]=>000000=>7
[7,4,2,3,5,1,6]=>000000=>7
[7,4,2,3,5,6,1]=>000000=>7
[7,4,2,3,6,1,5]=>000000=>7
[7,4,2,3,6,5,1]=>000000=>7
[7,4,2,5,1,3,6]=>000000=>7
[7,4,2,5,1,6,3]=>000000=>7
[7,4,2,5,3,1,6]=>000000=>7
[7,4,2,5,3,6,1]=>000000=>7
[7,4,2,5,6,1,3]=>000000=>7
[7,4,2,5,6,3,1]=>000000=>7
[7,4,2,6,1,3,5]=>000000=>7
[7,4,2,6,1,5,3]=>000000=>7
[7,4,2,6,3,1,5]=>000000=>7
[7,4,2,6,3,5,1]=>000000=>7
[7,4,2,6,5,1,3]=>000000=>7
[7,4,2,6,5,3,1]=>000000=>7
[7,4,3,1,2,5,6]=>000000=>7
[7,4,3,1,2,6,5]=>000000=>7
[7,4,3,1,5,2,6]=>000000=>7
[7,4,3,1,5,6,2]=>000000=>7
[7,4,3,1,6,2,5]=>000000=>7
[7,4,3,1,6,5,2]=>000000=>7
[7,4,3,2,1,5,6]=>000000=>7
[7,4,3,2,1,6,5]=>000000=>7
[7,4,3,2,5,1,6]=>000000=>7
[7,4,3,2,5,6,1]=>000000=>7
[7,4,3,2,6,1,5]=>000000=>7
[7,4,3,2,6,5,1]=>000000=>7
[7,4,3,5,1,2,6]=>000000=>7
[7,4,3,5,1,6,2]=>000000=>7
[7,4,3,5,2,1,6]=>000000=>7
[7,4,3,5,2,6,1]=>000000=>7
[7,4,3,5,6,1,2]=>000000=>7
[7,4,3,5,6,2,1]=>000000=>7
[7,4,3,6,1,2,5]=>000000=>7
[7,4,3,6,1,5,2]=>000000=>7
[7,4,3,6,2,1,5]=>000000=>7
[7,4,3,6,2,5,1]=>000000=>7
[7,4,3,6,5,1,2]=>000000=>7
[7,4,3,6,5,2,1]=>000000=>7
[7,4,5,1,2,3,6]=>000000=>7
[7,4,5,1,2,6,3]=>000000=>7
[7,4,5,1,3,2,6]=>000000=>7
[7,4,5,1,3,6,2]=>000000=>7
[7,4,5,1,6,2,3]=>000000=>7
[7,4,5,1,6,3,2]=>000000=>7
[7,4,5,2,1,3,6]=>000000=>7
[7,4,5,2,1,6,3]=>000000=>7
[7,4,5,2,3,1,6]=>000000=>7
[7,4,5,2,3,6,1]=>000000=>7
[7,4,5,2,6,1,3]=>000000=>7
[7,4,5,2,6,3,1]=>000000=>7
[7,4,5,3,1,2,6]=>000000=>7
[7,4,5,3,1,6,2]=>000000=>7
[7,4,5,3,2,1,6]=>000000=>7
[7,4,5,3,2,6,1]=>000000=>7
[7,4,5,3,6,1,2]=>000000=>7
[7,4,5,3,6,2,1]=>000000=>7
[7,4,5,6,1,2,3]=>000000=>7
[7,4,5,6,1,3,2]=>000000=>7
[7,4,5,6,2,1,3]=>000000=>7
[7,4,5,6,2,3,1]=>000000=>7
[7,4,5,6,3,1,2]=>000000=>7
[7,4,5,6,3,2,1]=>000000=>7
[7,4,6,1,2,3,5]=>000000=>7
[7,4,6,1,2,5,3]=>000000=>7
[7,4,6,1,3,2,5]=>000000=>7
[7,4,6,1,3,5,2]=>000000=>7
[7,4,6,1,5,2,3]=>000000=>7
[7,4,6,1,5,3,2]=>000000=>7
[7,4,6,2,1,3,5]=>000000=>7
[7,4,6,2,1,5,3]=>000000=>7
[7,4,6,2,3,1,5]=>000000=>7
[7,4,6,2,3,5,1]=>000000=>7
[7,4,6,2,5,1,3]=>000000=>7
[7,4,6,2,5,3,1]=>000000=>7
[7,4,6,3,1,2,5]=>000000=>7
[7,4,6,3,1,5,2]=>000000=>7
[7,4,6,3,2,1,5]=>000000=>7
[7,4,6,3,2,5,1]=>000000=>7
[7,4,6,3,5,1,2]=>000000=>7
[7,4,6,3,5,2,1]=>000000=>7
[7,4,6,5,1,2,3]=>000000=>7
[7,4,6,5,1,3,2]=>000000=>7
[7,4,6,5,2,1,3]=>000000=>7
[7,4,6,5,2,3,1]=>000000=>7
[7,4,6,5,3,1,2]=>000000=>7
[7,4,6,5,3,2,1]=>000000=>7
[7,5,1,2,3,4,6]=>000000=>7
[7,5,1,2,3,6,4]=>000000=>7
[7,5,1,2,4,3,6]=>000000=>7
[7,5,1,2,4,6,3]=>000000=>7
[7,5,1,2,6,3,4]=>000000=>7
[7,5,1,2,6,4,3]=>000000=>7
[7,5,1,3,2,4,6]=>000000=>7
[7,5,1,3,2,6,4]=>000000=>7
[7,5,1,3,4,2,6]=>000000=>7
[7,5,1,3,4,6,2]=>000000=>7
[7,5,1,3,6,2,4]=>000000=>7
[7,5,1,3,6,4,2]=>000000=>7
[7,5,1,4,2,3,6]=>000000=>7
[7,5,1,4,2,6,3]=>000000=>7
[7,5,1,4,3,2,6]=>000000=>7
[7,5,1,4,3,6,2]=>000000=>7
[7,5,1,4,6,2,3]=>000000=>7
[7,5,1,4,6,3,2]=>000000=>7
[7,5,1,6,2,3,4]=>000000=>7
[7,5,1,6,2,4,3]=>000000=>7
[7,5,1,6,3,2,4]=>000000=>7
[7,5,1,6,3,4,2]=>000000=>7
[7,5,1,6,4,2,3]=>000000=>7
[7,5,1,6,4,3,2]=>000000=>7
[7,5,2,1,3,4,6]=>000000=>7
[7,5,2,1,3,6,4]=>000000=>7
[7,5,2,1,4,3,6]=>000000=>7
[7,5,2,1,4,6,3]=>000000=>7
[7,5,2,1,6,3,4]=>000000=>7
[7,5,2,1,6,4,3]=>000000=>7
[7,5,2,3,1,4,6]=>000000=>7
[7,5,2,3,1,6,4]=>000000=>7
[7,5,2,3,4,1,6]=>000000=>7
[7,5,2,3,4,6,1]=>000000=>7
[7,5,2,3,6,1,4]=>000000=>7
[7,5,2,3,6,4,1]=>000000=>7
[7,5,2,4,1,3,6]=>000000=>7
[7,5,2,4,1,6,3]=>000000=>7
[7,5,2,4,3,1,6]=>000000=>7
[7,5,2,4,3,6,1]=>000000=>7
[7,5,2,4,6,1,3]=>000000=>7
[7,5,2,4,6,3,1]=>000000=>7
[7,5,2,6,1,3,4]=>000000=>7
[7,5,2,6,1,4,3]=>000000=>7
[7,5,2,6,3,1,4]=>000000=>7
[7,5,2,6,3,4,1]=>000000=>7
[7,5,2,6,4,1,3]=>000000=>7
[7,5,2,6,4,3,1]=>000000=>7
[7,5,3,1,2,4,6]=>000000=>7
[7,5,3,1,2,6,4]=>000000=>7
[7,5,3,1,4,2,6]=>000000=>7
[7,5,3,1,4,6,2]=>000000=>7
[7,5,3,1,6,2,4]=>000000=>7
[7,5,3,1,6,4,2]=>000000=>7
[7,5,3,2,1,4,6]=>000000=>7
[7,5,3,2,1,6,4]=>000000=>7
[7,5,3,2,4,1,6]=>000000=>7
[7,5,3,2,4,6,1]=>000000=>7
[7,5,3,2,6,1,4]=>000000=>7
[7,5,3,2,6,4,1]=>000000=>7
[7,5,3,4,1,2,6]=>000000=>7
[7,5,3,4,1,6,2]=>000000=>7
[7,5,3,4,2,1,6]=>000000=>7
[7,5,3,4,2,6,1]=>000000=>7
[7,5,3,4,6,1,2]=>000000=>7
[7,5,3,4,6,2,1]=>000000=>7
[7,5,3,6,1,2,4]=>000000=>7
[7,5,3,6,1,4,2]=>000000=>7
[7,5,3,6,2,1,4]=>000000=>7
[7,5,3,6,2,4,1]=>000000=>7
[7,5,3,6,4,1,2]=>000000=>7
[7,5,3,6,4,2,1]=>000000=>7
[7,5,4,1,2,3,6]=>000000=>7
[7,5,4,1,2,6,3]=>000000=>7
[7,5,4,1,3,2,6]=>000000=>7
[7,5,4,1,3,6,2]=>000000=>7
[7,5,4,1,6,2,3]=>000000=>7
[7,5,4,1,6,3,2]=>000000=>7
[7,5,4,2,1,3,6]=>000000=>7
[7,5,4,2,1,6,3]=>000000=>7
[7,5,4,2,3,1,6]=>000000=>7
[7,5,4,2,3,6,1]=>000000=>7
[7,5,4,2,6,1,3]=>000000=>7
[7,5,4,2,6,3,1]=>000000=>7
[7,5,4,3,1,2,6]=>000000=>7
[7,5,4,3,1,6,2]=>000000=>7
[7,5,4,3,2,1,6]=>000000=>7
[7,5,4,3,2,6,1]=>000000=>7
[7,5,4,3,6,1,2]=>000000=>7
[7,5,4,3,6,2,1]=>000000=>7
[7,5,4,6,1,2,3]=>000000=>7
[7,5,4,6,1,3,2]=>000000=>7
[7,5,4,6,2,1,3]=>000000=>7
[7,5,4,6,2,3,1]=>000000=>7
[7,5,4,6,3,1,2]=>000000=>7
[7,5,4,6,3,2,1]=>000000=>7
[7,5,6,1,2,3,4]=>000000=>7
[7,5,6,1,2,4,3]=>000000=>7
[7,5,6,1,3,2,4]=>000000=>7
[7,5,6,1,3,4,2]=>000000=>7
[7,5,6,1,4,2,3]=>000000=>7
[7,5,6,1,4,3,2]=>000000=>7
[7,5,6,2,1,3,4]=>000000=>7
[7,5,6,2,1,4,3]=>000000=>7
[7,5,6,2,3,1,4]=>000000=>7
[7,5,6,2,3,4,1]=>000000=>7
[7,5,6,2,4,1,3]=>000000=>7
[7,5,6,2,4,3,1]=>000000=>7
[7,5,6,3,1,2,4]=>000000=>7
[7,5,6,3,1,4,2]=>000000=>7
[7,5,6,3,2,1,4]=>000000=>7
[7,5,6,3,2,4,1]=>000000=>7
[7,5,6,3,4,1,2]=>000000=>7
[7,5,6,3,4,2,1]=>000000=>7
[7,5,6,4,1,2,3]=>000000=>7
[7,5,6,4,1,3,2]=>000000=>7
[7,5,6,4,2,1,3]=>000000=>7
[7,5,6,4,2,3,1]=>000000=>7
[7,5,6,4,3,1,2]=>000000=>7
[7,5,6,4,3,2,1]=>000000=>7
[7,6,1,2,3,4,5]=>000000=>7
[7,6,1,2,3,5,4]=>000000=>7
[7,6,1,2,4,3,5]=>000000=>7
[7,6,1,2,4,5,3]=>000000=>7
[7,6,1,2,5,3,4]=>000000=>7
[7,6,1,2,5,4,3]=>000000=>7
[7,6,1,3,2,4,5]=>000000=>7
[7,6,1,3,2,5,4]=>000000=>7
[7,6,1,3,4,2,5]=>000000=>7
[7,6,1,3,4,5,2]=>000000=>7
[7,6,1,3,5,2,4]=>000000=>7
[7,6,1,3,5,4,2]=>000000=>7
[7,6,1,4,2,3,5]=>000000=>7
[7,6,1,4,2,5,3]=>000000=>7
[7,6,1,4,3,2,5]=>000000=>7
[7,6,1,4,3,5,2]=>000000=>7
[7,6,1,4,5,2,3]=>000000=>7
[7,6,1,4,5,3,2]=>000000=>7
[7,6,1,5,2,3,4]=>000000=>7
[7,6,1,5,2,4,3]=>000000=>7
[7,6,1,5,3,2,4]=>000000=>7
[7,6,1,5,3,4,2]=>000000=>7
[7,6,1,5,4,2,3]=>000000=>7
[7,6,1,5,4,3,2]=>000000=>7
[7,6,2,1,3,4,5]=>000000=>7
[7,6,2,1,3,5,4]=>000000=>7
[7,6,2,1,4,3,5]=>000000=>7
[7,6,2,1,4,5,3]=>000000=>7
[7,6,2,1,5,3,4]=>000000=>7
[7,6,2,1,5,4,3]=>000000=>7
[7,6,2,3,1,4,5]=>000000=>7
[7,6,2,3,1,5,4]=>000000=>7
[7,6,2,3,4,1,5]=>000000=>7
[7,6,2,3,4,5,1]=>000000=>7
[7,6,2,3,5,1,4]=>000000=>7
[7,6,2,3,5,4,1]=>000000=>7
[7,6,2,4,1,3,5]=>000000=>7
[7,6,2,4,1,5,3]=>000000=>7
[7,6,2,4,3,1,5]=>000000=>7
[7,6,2,4,3,5,1]=>000000=>7
[7,6,2,4,5,1,3]=>000000=>7
[7,6,2,4,5,3,1]=>000000=>7
[7,6,2,5,1,3,4]=>000000=>7
[7,6,2,5,1,4,3]=>000000=>7
[7,6,2,5,3,1,4]=>000000=>7
[7,6,2,5,3,4,1]=>000000=>7
[7,6,2,5,4,1,3]=>000000=>7
[7,6,2,5,4,3,1]=>000000=>7
[7,6,3,1,2,4,5]=>000000=>7
[7,6,3,1,2,5,4]=>000000=>7
[7,6,3,1,4,2,5]=>000000=>7
[7,6,3,1,4,5,2]=>000000=>7
[7,6,3,1,5,2,4]=>000000=>7
[7,6,3,1,5,4,2]=>000000=>7
[7,6,3,2,1,4,5]=>000000=>7
[7,6,3,2,1,5,4]=>000000=>7
[7,6,3,2,4,1,5]=>000000=>7
[7,6,3,2,4,5,1]=>000000=>7
[7,6,3,2,5,1,4]=>000000=>7
[7,6,3,2,5,4,1]=>000000=>7
[7,6,3,4,1,2,5]=>000000=>7
[7,6,3,4,1,5,2]=>000000=>7
[7,6,3,4,2,1,5]=>000000=>7
[7,6,3,4,2,5,1]=>000000=>7
[7,6,3,4,5,1,2]=>000000=>7
[7,6,3,4,5,2,1]=>000000=>7
[7,6,3,5,1,2,4]=>000000=>7
[7,6,3,5,1,4,2]=>000000=>7
[7,6,3,5,2,1,4]=>000000=>7
[7,6,3,5,2,4,1]=>000000=>7
[7,6,3,5,4,1,2]=>000000=>7
[7,6,3,5,4,2,1]=>000000=>7
[7,6,4,1,2,3,5]=>000000=>7
[7,6,4,1,2,5,3]=>000000=>7
[7,6,4,1,3,2,5]=>000000=>7
[7,6,4,1,3,5,2]=>000000=>7
[7,6,4,1,5,2,3]=>000000=>7
[7,6,4,1,5,3,2]=>000000=>7
[7,6,4,2,1,3,5]=>000000=>7
[7,6,4,2,1,5,3]=>000000=>7
[7,6,4,2,3,1,5]=>000000=>7
[7,6,4,2,3,5,1]=>000000=>7
[7,6,4,2,5,1,3]=>000000=>7
[7,6,4,2,5,3,1]=>000000=>7
[7,6,4,3,1,2,5]=>000000=>7
[7,6,4,3,1,5,2]=>000000=>7
[7,6,4,3,2,1,5]=>000000=>7
[7,6,4,3,2,5,1]=>000000=>7
[7,6,4,3,5,1,2]=>000000=>7
[7,6,4,3,5,2,1]=>000000=>7
[7,6,4,5,1,2,3]=>000000=>7
[7,6,4,5,1,3,2]=>000000=>7
[7,6,4,5,2,1,3]=>000000=>7
[7,6,4,5,2,3,1]=>000000=>7
[7,6,4,5,3,1,2]=>000000=>7
[7,6,4,5,3,2,1]=>000000=>7
[7,6,5,1,2,3,4]=>000000=>7
[7,6,5,1,2,4,3]=>000000=>7
[7,6,5,1,3,2,4]=>000000=>7
[7,6,5,1,3,4,2]=>000000=>7
[7,6,5,1,4,2,3]=>000000=>7
[7,6,5,1,4,3,2]=>000000=>7
[7,6,5,2,1,3,4]=>000000=>7
[7,6,5,2,1,4,3]=>000000=>7
[7,6,5,2,3,1,4]=>000000=>7
[7,6,5,2,3,4,1]=>000000=>7
[7,6,5,2,4,1,3]=>000000=>7
[7,6,5,2,4,3,1]=>000000=>7
[7,6,5,3,1,2,4]=>000000=>7
[7,6,5,3,1,4,2]=>000000=>7
[7,6,5,3,2,1,4]=>000000=>7
[7,6,5,3,2,4,1]=>000000=>7
[7,6,5,3,4,1,2]=>000000=>7
[7,6,5,3,4,2,1]=>000000=>7
[7,6,5,4,1,2,3]=>000000=>7
[7,6,5,4,1,3,2]=>000000=>7
[7,6,5,4,2,1,3]=>000000=>7
[7,6,5,4,2,3,1]=>000000=>7
[7,6,5,4,3,1,2]=>000000=>7
[7,6,5,4,3,2,1]=>000000=>7
[8,7,6,5,4,3,2,1]=>0000000=>8
[7,8,6,5,4,3,2,1]=>0000000=>8
[7,6,8,5,4,3,2,1]=>0000000=>8
[6,7,8,5,4,3,2,1]=>0000000=>8
[8,7,5,6,4,3,2,1]=>0000000=>8
[7,8,5,6,4,3,2,1]=>0000000=>8
[8,6,5,7,4,3,2,1]=>0000000=>8
[8,5,6,7,4,3,2,1]=>0000000=>8
[7,6,5,8,4,3,2,1]=>0000000=>8
[6,7,5,8,4,3,2,1]=>0000000=>8
[7,5,6,8,4,3,2,1]=>0000000=>8
[6,5,7,8,4,3,2,1]=>0000000=>8
[5,6,7,8,4,3,2,1]=>0000000=>8
[8,7,6,4,5,3,2,1]=>0000000=>8
[7,8,6,4,5,3,2,1]=>0000000=>8
[8,6,7,4,5,3,2,1]=>0000000=>8
[8,7,5,4,6,3,2,1]=>0000000=>8
[8,7,4,5,6,3,2,1]=>0000000=>8
[7,6,5,4,8,3,2,1]=>0000000=>8
[6,7,5,4,8,3,2,1]=>0000000=>8
[7,5,6,4,8,3,2,1]=>0000000=>8
[6,5,7,4,8,3,2,1]=>0000000=>8
[5,6,7,4,8,3,2,1]=>0000000=>8
[7,6,4,5,8,3,2,1]=>0000000=>8
[6,7,4,5,8,3,2,1]=>0000000=>8
[7,5,4,6,8,3,2,1]=>0000000=>8
[7,4,5,6,8,3,2,1]=>0000000=>8
[6,5,4,7,8,3,2,1]=>0000000=>8
[5,6,4,7,8,3,2,1]=>0000000=>8
[6,4,5,7,8,3,2,1]=>0000000=>8
[5,4,6,7,8,3,2,1]=>0000000=>8
[4,5,6,7,8,3,2,1]=>0000000=>8
[8,7,6,5,3,4,2,1]=>0000000=>8
[7,8,6,5,3,4,2,1]=>0000000=>8
[8,6,7,5,3,4,2,1]=>0000000=>8
[7,6,8,5,3,4,2,1]=>0000000=>8
[8,7,5,6,3,4,2,1]=>0000000=>8
[7,8,5,6,3,4,2,1]=>0000000=>8
[8,5,6,7,3,4,2,1]=>0000000=>8
[7,6,5,8,3,4,2,1]=>0000000=>8
[6,7,5,8,3,4,2,1]=>0000000=>8
[6,5,7,8,3,4,2,1]=>0000000=>8
[5,6,7,8,3,4,2,1]=>0000000=>8
[7,6,8,4,3,5,2,1]=>0000000=>8
[8,7,6,3,4,5,2,1]=>0000000=>8
[7,8,6,3,4,5,2,1]=>0000000=>8
[8,6,7,3,4,5,2,1]=>0000000=>8
[7,6,8,3,4,5,2,1]=>0000000=>8
[6,7,8,3,4,5,2,1]=>0000000=>8
[8,7,5,4,3,6,2,1]=>0000000=>8
[7,8,5,4,3,6,2,1]=>0000000=>8
[8,7,4,5,3,6,2,1]=>0000000=>8
[8,7,5,3,4,6,2,1]=>0000000=>8
[7,8,5,3,4,6,2,1]=>0000000=>8
[8,7,4,3,5,6,2,1]=>0000000=>8
[8,7,3,4,5,6,2,1]=>0000000=>8
[8,6,5,4,3,7,2,1]=>0000000=>8
[8,6,4,3,5,7,2,1]=>0000000=>8
[8,5,4,3,6,7,2,1]=>0000000=>8
[8,5,3,4,6,7,2,1]=>0000000=>8
[8,4,3,5,6,7,2,1]=>0000000=>8
[8,3,4,5,6,7,2,1]=>0000000=>8
[7,6,5,4,3,8,2,1]=>0000000=>8
[6,7,5,4,3,8,2,1]=>0000000=>8
[7,5,6,4,3,8,2,1]=>0000000=>8
[5,6,7,4,3,8,2,1]=>0000000=>8
[7,5,4,6,3,8,2,1]=>0000000=>8
[6,5,4,7,3,8,2,1]=>0000000=>8
[5,4,6,7,3,8,2,1]=>0000000=>8
[4,5,6,7,3,8,2,1]=>0000000=>8
[7,6,5,3,4,8,2,1]=>0000000=>8
[7,6,4,3,5,8,2,1]=>0000000=>8
[7,6,3,4,5,8,2,1]=>0000000=>8
[7,5,4,3,6,8,2,1]=>0000000=>8
[6,5,4,3,7,8,2,1]=>0000000=>8
[5,4,3,6,7,8,2,1]=>0000000=>8
[5,3,4,6,7,8,2,1]=>0000000=>8
[4,3,5,6,7,8,2,1]=>0000000=>8
[3,4,5,6,7,8,2,1]=>0000000=>8
[8,7,6,5,4,2,3,1]=>0000000=>8
[7,8,6,5,4,2,3,1]=>0000000=>8
[8,6,7,5,4,2,3,1]=>0000000=>8
[7,6,8,5,4,2,3,1]=>0000000=>8
[8,7,5,6,4,2,3,1]=>0000000=>8
[8,5,6,7,4,2,3,1]=>0000000=>8
[7,6,5,8,4,2,3,1]=>0000000=>8
[6,7,5,8,4,2,3,1]=>0000000=>8
[5,6,7,8,4,2,3,1]=>0000000=>8
[8,7,6,4,5,2,3,1]=>0000000=>8
[8,6,7,4,5,2,3,1]=>0000000=>8
[7,6,8,4,5,2,3,1]=>0000000=>8
[6,7,8,4,5,2,3,1]=>0000000=>8
[7,8,4,5,6,2,3,1]=>0000000=>8
[6,7,4,5,8,2,3,1]=>0000000=>8
[4,5,6,7,8,2,3,1]=>0000000=>8
[7,8,6,5,3,2,4,1]=>0000000=>8
[7,6,8,5,3,2,4,1]=>0000000=>8
[6,7,8,5,3,2,4,1]=>0000000=>8
[8,6,5,7,3,2,4,1]=>0000000=>8
[8,5,6,7,3,2,4,1]=>0000000=>8
[7,6,5,8,3,2,4,1]=>0000000=>8
[6,7,5,8,3,2,4,1]=>0000000=>8
[5,6,7,8,3,2,4,1]=>0000000=>8
[8,7,6,5,2,3,4,1]=>0000000=>8
[8,6,7,5,2,3,4,1]=>0000000=>8
[7,6,8,5,2,3,4,1]=>0000000=>8
[6,7,8,5,2,3,4,1]=>0000000=>8
[8,7,5,6,2,3,4,1]=>0000000=>8
[8,6,5,7,2,3,4,1]=>0000000=>8
[8,5,6,7,2,3,4,1]=>0000000=>8
[7,6,5,8,2,3,4,1]=>0000000=>8
[6,7,5,8,2,3,4,1]=>0000000=>8
[6,5,7,8,2,3,4,1]=>0000000=>8
[5,6,7,8,2,3,4,1]=>0000000=>8
[7,6,8,4,3,2,5,1]=>0000000=>8
[7,8,6,3,4,2,5,1]=>0000000=>8
[6,7,8,3,4,2,5,1]=>0000000=>8
[6,7,8,4,2,3,5,1]=>0000000=>8
[8,7,6,3,2,4,5,1]=>0000000=>8
[8,6,7,3,2,4,5,1]=>0000000=>8
[6,7,8,3,2,4,5,1]=>0000000=>8
[8,7,6,2,3,4,5,1]=>0000000=>8
[7,8,6,2,3,4,5,1]=>0000000=>8
[8,6,7,2,3,4,5,1]=>0000000=>8
[7,6,8,2,3,4,5,1]=>0000000=>8
[6,7,8,2,3,4,5,1]=>0000000=>8
[7,8,5,4,3,2,6,1]=>0000000=>8
[8,7,4,3,5,2,6,1]=>0000000=>8
[7,8,4,3,5,2,6,1]=>0000000=>8
[8,7,5,4,2,3,6,1]=>0000000=>8
[8,7,4,3,2,5,6,1]=>0000000=>8
[7,8,4,3,2,5,6,1]=>0000000=>8
[7,8,3,2,4,5,6,1]=>0000000=>8
[8,7,2,3,4,5,6,1]=>0000000=>8
[7,8,2,3,4,5,6,1]=>0000000=>8
[8,6,5,4,3,2,7,1]=>0000000=>8
[8,5,6,4,3,2,7,1]=>0000000=>8
[8,6,4,5,3,2,7,1]=>0000000=>8
[8,5,4,6,3,2,7,1]=>0000000=>8
[8,6,4,3,5,2,7,1]=>0000000=>8
[8,6,3,4,5,2,7,1]=>0000000=>8
[8,5,4,3,6,2,7,1]=>0000000=>8
[8,4,5,3,6,2,7,1]=>0000000=>8
[8,3,4,5,6,2,7,1]=>0000000=>8
[8,6,5,4,2,3,7,1]=>0000000=>8
[8,6,5,3,2,4,7,1]=>0000000=>8
[8,6,4,3,2,5,7,1]=>0000000=>8
[8,6,4,2,3,5,7,1]=>0000000=>8
[8,5,4,3,2,6,7,1]=>0000000=>8
[8,4,5,3,2,6,7,1]=>0000000=>8
[8,5,3,4,2,6,7,1]=>0000000=>8
[8,4,5,2,3,6,7,1]=>0000000=>8
[8,4,3,2,5,6,7,1]=>0000000=>8
[8,3,4,2,5,6,7,1]=>0000000=>8
[8,3,2,4,5,6,7,1]=>0000000=>8
[8,2,3,4,5,6,7,1]=>0000000=>8
[7,6,5,4,3,2,8,1]=>0000000=>8
[6,7,5,4,3,2,8,1]=>0000000=>8
[6,5,7,4,3,2,8,1]=>0000000=>8
[7,6,4,5,3,2,8,1]=>0000000=>8
[6,7,4,5,3,2,8,1]=>0000000=>8
[4,5,6,7,3,2,8,1]=>0000000=>8
[7,6,4,3,5,2,8,1]=>0000000=>8
[7,6,3,4,5,2,8,1]=>0000000=>8
[7,5,4,3,6,2,8,1]=>0000000=>8
[7,3,4,5,6,2,8,1]=>0000000=>8
[6,5,4,3,7,2,8,1]=>0000000=>8
[6,4,5,3,7,2,8,1]=>0000000=>8
[5,4,6,3,7,2,8,1]=>0000000=>8
[6,5,3,4,7,2,8,1]=>0000000=>8
[5,6,3,4,7,2,8,1]=>0000000=>8
[6,4,3,5,7,2,8,1]=>0000000=>8
[6,3,4,5,7,2,8,1]=>0000000=>8
[5,4,3,6,7,2,8,1]=>0000000=>8
[3,4,5,6,7,2,8,1]=>0000000=>8
[7,6,5,4,2,3,8,1]=>0000000=>8
[6,7,5,4,2,3,8,1]=>0000000=>8
[6,5,7,4,2,3,8,1]=>0000000=>8
[6,7,4,5,2,3,8,1]=>0000000=>8
[7,5,4,6,2,3,8,1]=>0000000=>8
[6,5,4,7,2,3,8,1]=>0000000=>8
[5,4,6,7,2,3,8,1]=>0000000=>8
[4,5,6,7,2,3,8,1]=>0000000=>8
[7,6,5,3,2,4,8,1]=>0000000=>8
[6,7,5,3,2,4,8,1]=>0000000=>8
[6,5,7,3,2,4,8,1]=>0000000=>8
[7,6,5,2,3,4,8,1]=>0000000=>8
[7,5,6,2,3,4,8,1]=>0000000=>8
[5,6,7,2,3,4,8,1]=>0000000=>8
[6,7,4,3,2,5,8,1]=>0000000=>8
[7,6,4,2,3,5,8,1]=>0000000=>8
[6,7,3,2,4,5,8,1]=>0000000=>8
[7,6,2,3,4,5,8,1]=>0000000=>8
[6,7,2,3,4,5,8,1]=>0000000=>8
[7,5,4,3,2,6,8,1]=>0000000=>8
[7,4,3,5,2,6,8,1]=>0000000=>8
[7,4,5,2,3,6,8,1]=>0000000=>8
[7,5,3,2,4,6,8,1]=>0000000=>8
[7,4,3,2,5,6,8,1]=>0000000=>8
[7,2,3,4,5,6,8,1]=>0000000=>8
[6,5,4,3,2,7,8,1]=>0000000=>8
[5,4,6,3,2,7,8,1]=>0000000=>8
[6,3,4,5,2,7,8,1]=>0000000=>8
[5,4,3,6,2,7,8,1]=>0000000=>8
[4,3,5,6,2,7,8,1]=>0000000=>8
[3,4,5,6,2,7,8,1]=>0000000=>8
[6,5,4,2,3,7,8,1]=>0000000=>8
[5,6,4,2,3,7,8,1]=>0000000=>8
[6,4,5,2,3,7,8,1]=>0000000=>8
[5,4,6,2,3,7,8,1]=>0000000=>8
[6,5,3,2,4,7,8,1]=>0000000=>8
[6,5,2,3,4,7,8,1]=>0000000=>8
[6,2,3,4,5,7,8,1]=>0000000=>8
[5,4,3,2,6,7,8,1]=>0000000=>8
[5,3,4,2,6,7,8,1]=>0000000=>8
[3,4,5,2,6,7,8,1]=>0000000=>8
[5,4,2,3,6,7,8,1]=>0000000=>8
[4,5,2,3,6,7,8,1]=>0000000=>8
[5,3,2,4,6,7,8,1]=>0000000=>8
[5,2,3,4,6,7,8,1]=>0000000=>8
[4,3,2,5,6,7,8,1]=>0000000=>8
[3,4,2,5,6,7,8,1]=>0000000=>8
[4,2,3,5,6,7,8,1]=>0000000=>8
[3,2,4,5,6,7,8,1]=>0000000=>8
[2,3,4,5,6,7,8,1]=>0000000=>8
[8,7,6,5,4,3,1,2]=>0000000=>8
[7,8,6,5,4,3,1,2]=>0000000=>8
[8,6,7,5,4,3,1,2]=>0000000=>8
[7,6,8,5,4,3,1,2]=>0000000=>8
[6,7,8,5,4,3,1,2]=>0000000=>8
[8,7,5,6,4,3,1,2]=>0000000=>8
[8,6,5,7,4,3,1,2]=>0000000=>8
[7,6,5,8,4,3,1,2]=>0000000=>8
[6,7,5,8,4,3,1,2]=>0000000=>8
[7,5,6,8,4,3,1,2]=>0000000=>8
[5,6,7,8,4,3,1,2]=>0000000=>8
[8,7,6,4,5,3,1,2]=>0000000=>8
[8,6,7,4,5,3,1,2]=>0000000=>8
[6,7,8,4,5,3,1,2]=>0000000=>8
[7,8,4,5,6,3,1,2]=>0000000=>8
[8,6,4,5,7,3,1,2]=>0000000=>8
[7,6,5,4,8,3,1,2]=>0000000=>8
[7,5,6,4,8,3,1,2]=>0000000=>8
[6,5,7,4,8,3,1,2]=>0000000=>8
[7,6,4,5,8,3,1,2]=>0000000=>8
[6,7,4,5,8,3,1,2]=>0000000=>8
[6,5,4,7,8,3,1,2]=>0000000=>8
[5,4,6,7,8,3,1,2]=>0000000=>8
[4,5,6,7,8,3,1,2]=>0000000=>8
[8,7,6,5,3,4,1,2]=>0000000=>8
[8,7,5,6,3,4,1,2]=>0000000=>8
[7,8,5,6,3,4,1,2]=>0000000=>8
[7,6,5,8,3,4,1,2]=>0000000=>8
[6,7,5,8,3,4,1,2]=>0000000=>8
[7,5,6,8,3,4,1,2]=>0000000=>8
[6,5,7,8,3,4,1,2]=>0000000=>8
[5,6,7,8,3,4,1,2]=>0000000=>8
[8,7,6,3,4,5,1,2]=>0000000=>8
[7,8,6,3,4,5,1,2]=>0000000=>8
[8,6,7,3,4,5,1,2]=>0000000=>8
[7,8,5,4,3,6,1,2]=>0000000=>8
[8,7,4,5,3,6,1,2]=>0000000=>8
[7,8,4,5,3,6,1,2]=>0000000=>8
[7,8,5,3,4,6,1,2]=>0000000=>8
[8,7,4,3,5,6,1,2]=>0000000=>8
[7,8,4,3,5,6,1,2]=>0000000=>8
[7,8,3,4,5,6,1,2]=>0000000=>8
[8,6,5,4,3,7,1,2]=>0000000=>8
[8,5,4,6,3,7,1,2]=>0000000=>8
[8,3,4,5,6,7,1,2]=>0000000=>8
[7,6,5,4,3,8,1,2]=>0000000=>8
[7,5,6,4,3,8,1,2]=>0000000=>8
[5,6,7,4,3,8,1,2]=>0000000=>8
[6,7,4,5,3,8,1,2]=>0000000=>8
[7,5,4,6,3,8,1,2]=>0000000=>8
[6,5,4,7,3,8,1,2]=>0000000=>8
[5,6,4,7,3,8,1,2]=>0000000=>8
[4,5,6,7,3,8,1,2]=>0000000=>8
[7,6,5,3,4,8,1,2]=>0000000=>8
[7,6,3,4,5,8,1,2]=>0000000=>8
[7,4,5,3,6,8,1,2]=>0000000=>8
[7,3,4,5,6,8,1,2]=>0000000=>8
[6,5,4,3,7,8,1,2]=>0000000=>8
[5,6,4,3,7,8,1,2]=>0000000=>8
[5,4,6,3,7,8,1,2]=>0000000=>8
[4,5,6,3,7,8,1,2]=>0000000=>8
[5,6,3,4,7,8,1,2]=>0000000=>8
[6,4,3,5,7,8,1,2]=>0000000=>8
[6,3,4,5,7,8,1,2]=>0000000=>8
[5,4,3,6,7,8,1,2]=>0000000=>8
[4,5,3,6,7,8,1,2]=>0000000=>8
[5,3,4,6,7,8,1,2]=>0000000=>8
[4,3,5,6,7,8,1,2]=>0000000=>8
[3,4,5,6,7,8,1,2]=>0000000=>8
[8,7,6,5,4,2,1,3]=>0000000=>8
[7,8,6,5,4,2,1,3]=>0000000=>8
[8,6,7,5,4,2,1,3]=>0000000=>8
[7,6,8,5,4,2,1,3]=>0000000=>8
[8,7,5,6,4,2,1,3]=>0000000=>8
[7,8,5,6,4,2,1,3]=>0000000=>8
[7,6,5,8,4,2,1,3]=>0000000=>8
[6,7,5,8,4,2,1,3]=>0000000=>8
[7,5,6,8,4,2,1,3]=>0000000=>8
[5,6,7,8,4,2,1,3]=>0000000=>8
[8,7,6,4,5,2,1,3]=>0000000=>8
[7,6,5,4,8,2,1,3]=>0000000=>8
[6,7,5,4,8,2,1,3]=>0000000=>8
[6,5,7,4,8,2,1,3]=>0000000=>8
[5,6,7,4,8,2,1,3]=>0000000=>8
[7,6,4,5,8,2,1,3]=>0000000=>8
[7,4,5,6,8,2,1,3]=>0000000=>8
[5,4,6,7,8,2,1,3]=>0000000=>8
[4,5,6,7,8,2,1,3]=>0000000=>8
[8,7,6,5,4,1,2,3]=>0000000=>8
[7,8,6,5,4,1,2,3]=>0000000=>8
[7,6,8,5,4,1,2,3]=>0000000=>8
[6,7,8,5,4,1,2,3]=>0000000=>8
[8,5,6,7,4,1,2,3]=>0000000=>8
[7,6,5,8,4,1,2,3]=>0000000=>8
[6,7,5,8,4,1,2,3]=>0000000=>8
[6,5,7,8,4,1,2,3]=>0000000=>8
[5,6,7,8,4,1,2,3]=>0000000=>8
[8,7,6,4,5,1,2,3]=>0000000=>8
[8,6,7,4,5,1,2,3]=>0000000=>8
[6,7,8,4,5,1,2,3]=>0000000=>8
[8,7,5,4,6,1,2,3]=>0000000=>8
[8,7,4,5,6,1,2,3]=>0000000=>8
[7,8,4,5,6,1,2,3]=>0000000=>8
[8,6,5,4,7,1,2,3]=>0000000=>8
[8,6,4,5,7,1,2,3]=>0000000=>8
[8,5,4,6,7,1,2,3]=>0000000=>8
[8,4,5,6,7,1,2,3]=>0000000=>8
[7,6,5,4,8,1,2,3]=>0000000=>8
[6,7,5,4,8,1,2,3]=>0000000=>8
[6,5,7,4,8,1,2,3]=>0000000=>8
[6,7,4,5,8,1,2,3]=>0000000=>8
[6,5,4,7,8,1,2,3]=>0000000=>8
[5,4,6,7,8,1,2,3]=>0000000=>8
[4,5,6,7,8,1,2,3]=>0000000=>8
[8,7,6,5,3,2,1,4]=>0000000=>8
[7,8,6,5,3,2,1,4]=>0000000=>8
[8,6,7,5,3,2,1,4]=>0000000=>8
[7,6,8,5,3,2,1,4]=>0000000=>8
[6,7,8,5,3,2,1,4]=>0000000=>8
[8,7,5,6,3,2,1,4]=>0000000=>8
[7,8,5,6,3,2,1,4]=>0000000=>8
[8,6,5,7,3,2,1,4]=>0000000=>8
[8,5,6,7,3,2,1,4]=>0000000=>8
[7,6,5,8,3,2,1,4]=>0000000=>8
[6,7,5,8,3,2,1,4]=>0000000=>8
[7,5,6,8,3,2,1,4]=>0000000=>8
[6,5,7,8,3,2,1,4]=>0000000=>8
[5,6,7,8,3,2,1,4]=>0000000=>8
[8,7,6,5,2,3,1,4]=>0000000=>8
[7,8,6,5,2,3,1,4]=>0000000=>8
[8,6,7,5,2,3,1,4]=>0000000=>8
[7,6,8,5,2,3,1,4]=>0000000=>8
[6,7,8,5,2,3,1,4]=>0000000=>8
[8,7,5,6,2,3,1,4]=>0000000=>8
[7,8,5,6,2,3,1,4]=>0000000=>8
[8,6,5,7,2,3,1,4]=>0000000=>8
[8,5,6,7,2,3,1,4]=>0000000=>8
[7,6,5,8,2,3,1,4]=>0000000=>8
[6,7,5,8,2,3,1,4]=>0000000=>8
[7,5,6,8,2,3,1,4]=>0000000=>8
[6,5,7,8,2,3,1,4]=>0000000=>8
[5,6,7,8,2,3,1,4]=>0000000=>8
[8,7,6,5,3,1,2,4]=>0000000=>8
[7,6,8,5,3,1,2,4]=>0000000=>8
[7,8,5,6,3,1,2,4]=>0000000=>8
[8,6,5,7,3,1,2,4]=>0000000=>8
[7,6,5,8,3,1,2,4]=>0000000=>8
[6,7,5,8,3,1,2,4]=>0000000=>8
[7,5,6,8,3,1,2,4]=>0000000=>8
[6,5,7,8,3,1,2,4]=>0000000=>8
[5,6,7,8,3,1,2,4]=>0000000=>8
[8,7,6,5,2,1,3,4]=>0000000=>8
[7,8,6,5,2,1,3,4]=>0000000=>8
[6,7,8,5,2,1,3,4]=>0000000=>8
[8,7,5,6,2,1,3,4]=>0000000=>8
[7,8,5,6,2,1,3,4]=>0000000=>8
[8,6,5,7,2,1,3,4]=>0000000=>8
[7,6,5,8,2,1,3,4]=>0000000=>8
[6,7,5,8,2,1,3,4]=>0000000=>8
[7,5,6,8,2,1,3,4]=>0000000=>8
[6,5,7,8,2,1,3,4]=>0000000=>8
[5,6,7,8,2,1,3,4]=>0000000=>8
[8,7,6,5,1,2,3,4]=>0000000=>8
[7,8,6,5,1,2,3,4]=>0000000=>8
[8,6,7,5,1,2,3,4]=>0000000=>8
[7,6,8,5,1,2,3,4]=>0000000=>8
[6,7,8,5,1,2,3,4]=>0000000=>8
[8,7,5,6,1,2,3,4]=>0000000=>8
[7,8,5,6,1,2,3,4]=>0000000=>8
[8,6,5,7,1,2,3,4]=>0000000=>8
[8,5,6,7,1,2,3,4]=>0000000=>8
[7,6,5,8,1,2,3,4]=>0000000=>8
[6,7,5,8,1,2,3,4]=>0000000=>8
[7,5,6,8,1,2,3,4]=>0000000=>8
[6,5,7,8,1,2,3,4]=>0000000=>8
[5,6,7,8,1,2,3,4]=>0000000=>8
[8,7,6,4,3,2,1,5]=>0000000=>8
[7,8,6,4,3,2,1,5]=>0000000=>8
[8,6,7,4,3,2,1,5]=>0000000=>8
[7,6,8,4,3,2,1,5]=>0000000=>8
[6,7,8,4,3,2,1,5]=>0000000=>8
[8,7,6,3,4,2,1,5]=>0000000=>8
[6,7,8,3,4,2,1,5]=>0000000=>8
[8,7,6,4,2,3,1,5]=>0000000=>8
[7,6,8,4,2,3,1,5]=>0000000=>8
[6,7,8,4,2,3,1,5]=>0000000=>8
[8,7,6,3,2,4,1,5]=>0000000=>8
[8,6,7,3,2,4,1,5]=>0000000=>8
[6,7,8,3,2,4,1,5]=>0000000=>8
[8,7,6,2,3,4,1,5]=>0000000=>8
[7,6,8,2,3,4,1,5]=>0000000=>8
[6,7,8,2,3,4,1,5]=>0000000=>8
[8,7,6,4,3,1,2,5]=>0000000=>8
[6,7,8,4,3,1,2,5]=>0000000=>8
[8,7,6,3,4,1,2,5]=>0000000=>8
[7,8,6,3,4,1,2,5]=>0000000=>8
[6,7,8,3,4,1,2,5]=>0000000=>8
[8,7,6,4,2,1,3,5]=>0000000=>8
[6,7,8,4,2,1,3,5]=>0000000=>8
[8,7,6,4,1,2,3,5]=>0000000=>8
[7,6,8,4,1,2,3,5]=>0000000=>8
[6,7,8,4,1,2,3,5]=>0000000=>8
[8,7,6,3,2,1,4,5]=>0000000=>8
[7,8,6,3,2,1,4,5]=>0000000=>8
[7,6,8,3,2,1,4,5]=>0000000=>8
[6,7,8,3,2,1,4,5]=>0000000=>8
[8,7,6,2,3,1,4,5]=>0000000=>8
[7,8,6,2,3,1,4,5]=>0000000=>8
[7,6,8,2,3,1,4,5]=>0000000=>8
[6,7,8,2,3,1,4,5]=>0000000=>8
[8,7,6,3,1,2,4,5]=>0000000=>8
[7,8,6,3,1,2,4,5]=>0000000=>8
[8,6,7,3,1,2,4,5]=>0000000=>8
[6,7,8,3,1,2,4,5]=>0000000=>8
[8,7,6,2,1,3,4,5]=>0000000=>8
[7,8,6,2,1,3,4,5]=>0000000=>8
[6,7,8,2,1,3,4,5]=>0000000=>8
[8,7,6,1,2,3,4,5]=>0000000=>8
[7,8,6,1,2,3,4,5]=>0000000=>8
[8,6,7,1,2,3,4,5]=>0000000=>8
[7,6,8,1,2,3,4,5]=>0000000=>8
[6,7,8,1,2,3,4,5]=>0000000=>8
[8,7,5,4,3,2,1,6]=>0000000=>8
[7,8,5,4,3,2,1,6]=>0000000=>8
[8,7,4,5,3,2,1,6]=>0000000=>8
[7,8,4,5,3,2,1,6]=>0000000=>8
[8,7,3,4,5,2,1,6]=>0000000=>8
[7,8,3,4,5,2,1,6]=>0000000=>8
[8,7,4,5,2,3,1,6]=>0000000=>8
[7,8,4,5,2,3,1,6]=>0000000=>8
[8,7,5,3,2,4,1,6]=>0000000=>8
[7,8,5,2,3,4,1,6]=>0000000=>8
[8,7,4,3,2,5,1,6]=>0000000=>8
[7,8,4,3,2,5,1,6]=>0000000=>8
[7,8,3,4,2,5,1,6]=>0000000=>8
[8,7,2,3,4,5,1,6]=>0000000=>8
[7,8,2,3,4,5,1,6]=>0000000=>8
[8,7,5,4,3,1,2,6]=>0000000=>8
[8,7,5,3,4,1,2,6]=>0000000=>8
[7,8,3,4,5,1,2,6]=>0000000=>8
[7,8,5,4,2,1,3,6]=>0000000=>8
[8,7,5,4,1,2,3,6]=>0000000=>8
[7,8,5,4,1,2,3,6]=>0000000=>8
[7,8,4,5,1,2,3,6]=>0000000=>8
[8,7,5,3,2,1,4,6]=>0000000=>8
[7,8,5,3,2,1,4,6]=>0000000=>8
[8,7,5,2,1,3,4,6]=>0000000=>8
[7,8,5,2,1,3,4,6]=>0000000=>8
[8,7,5,1,2,3,4,6]=>0000000=>8
[7,8,5,1,2,3,4,6]=>0000000=>8
[8,7,4,3,2,1,5,6]=>0000000=>8
[7,8,4,3,2,1,5,6]=>0000000=>8
[8,7,3,4,2,1,5,6]=>0000000=>8
[7,8,3,4,2,1,5,6]=>0000000=>8
[7,8,4,2,3,1,5,6]=>0000000=>8
[8,7,3,2,4,1,5,6]=>0000000=>8
[7,8,3,2,4,1,5,6]=>0000000=>8
[8,7,2,3,4,1,5,6]=>0000000=>8
[7,8,2,3,4,1,5,6]=>0000000=>8
[7,8,4,3,1,2,5,6]=>0000000=>8
[7,8,3,4,1,2,5,6]=>0000000=>8
[8,7,4,2,1,3,5,6]=>0000000=>8
[7,8,4,2,1,3,5,6]=>0000000=>8
[8,7,4,1,2,3,5,6]=>0000000=>8
[7,8,4,1,2,3,5,6]=>0000000=>8
[8,7,3,2,1,4,5,6]=>0000000=>8
[7,8,3,2,1,4,5,6]=>0000000=>8
[7,8,2,3,1,4,5,6]=>0000000=>8
[7,8,3,1,2,4,5,6]=>0000000=>8
[8,7,2,1,3,4,5,6]=>0000000=>8
[7,8,2,1,3,4,5,6]=>0000000=>8
[8,7,1,2,3,4,5,6]=>0000000=>8
[7,8,1,2,3,4,5,6]=>0000000=>8
[8,6,5,4,3,2,1,7]=>0000000=>8
[8,5,6,4,3,2,1,7]=>0000000=>8
[8,6,4,5,3,2,1,7]=>0000000=>8
[8,4,5,6,3,2,1,7]=>0000000=>8
[8,6,5,3,4,2,1,7]=>0000000=>8
[8,5,6,3,4,2,1,7]=>0000000=>8
[8,4,5,3,6,2,1,7]=>0000000=>8
[8,4,3,5,6,2,1,7]=>0000000=>8
[8,3,4,5,6,2,1,7]=>0000000=>8
[8,6,5,4,2,3,1,7]=>0000000=>8
[8,4,5,6,2,3,1,7]=>0000000=>8
[8,6,5,2,3,4,1,7]=>0000000=>8
[8,6,4,2,3,5,1,7]=>0000000=>8
[8,5,4,3,2,6,1,7]=>0000000=>8
[8,4,3,5,2,6,1,7]=>0000000=>8
[8,4,5,2,3,6,1,7]=>0000000=>8
[8,5,3,2,4,6,1,7]=>0000000=>8
[8,3,4,2,5,6,1,7]=>0000000=>8
[8,3,2,4,5,6,1,7]=>0000000=>8
[8,2,3,4,5,6,1,7]=>0000000=>8
[8,6,5,4,3,1,2,7]=>0000000=>8
[8,6,4,5,3,1,2,7]=>0000000=>8
[8,6,5,3,4,1,2,7]=>0000000=>8
[8,5,6,3,4,1,2,7]=>0000000=>8
[8,5,4,3,6,1,2,7]=>0000000=>8
[8,4,3,5,6,1,2,7]=>0000000=>8
[8,3,4,5,6,1,2,7]=>0000000=>8
[8,6,5,4,2,1,3,7]=>0000000=>8
[8,5,6,4,2,1,3,7]=>0000000=>8
[8,6,5,4,1,2,3,7]=>0000000=>8
[8,4,5,6,1,2,3,7]=>0000000=>8
[8,6,5,3,2,1,4,7]=>0000000=>8
[8,6,5,2,3,1,4,7]=>0000000=>8
[8,5,6,2,3,1,4,7]=>0000000=>8
[8,5,6,2,1,3,4,7]=>0000000=>8
[8,6,5,1,2,3,4,7]=>0000000=>8
[8,5,6,1,2,3,4,7]=>0000000=>8
[8,6,4,3,2,1,5,7]=>0000000=>8
[8,6,3,4,2,1,5,7]=>0000000=>8
[8,6,4,2,3,1,5,7]=>0000000=>8
[8,6,3,2,4,1,5,7]=>0000000=>8
[8,6,2,3,4,1,5,7]=>0000000=>8
[8,6,3,4,1,2,5,7]=>0000000=>8
[8,6,4,2,1,3,5,7]=>0000000=>8
[8,6,3,2,1,4,5,7]=>0000000=>8
[8,6,1,2,3,4,5,7]=>0000000=>8
[8,5,4,3,2,1,6,7]=>0000000=>8
[8,4,5,3,2,1,6,7]=>0000000=>8
[8,4,3,5,2,1,6,7]=>0000000=>8
[8,3,4,5,2,1,6,7]=>0000000=>8
[8,2,3,4,5,1,6,7]=>0000000=>8
[8,5,4,2,1,3,6,7]=>0000000=>8
[8,5,2,1,3,4,6,7]=>0000000=>8
[8,5,1,2,3,4,6,7]=>0000000=>8
[8,4,3,2,1,5,6,7]=>0000000=>8
[8,4,2,3,1,5,6,7]=>0000000=>8
[8,2,3,4,1,5,6,7]=>0000000=>8
[8,4,1,2,3,5,6,7]=>0000000=>8
[8,3,2,1,4,5,6,7]=>0000000=>8
[8,2,3,1,4,5,6,7]=>0000000=>8
[8,3,1,2,4,5,6,7]=>0000000=>8
[8,2,1,3,4,5,6,7]=>0000000=>8
[8,1,2,3,4,5,6,7]=>0000000=>8
[7,6,5,4,3,2,1,8]=>0000001=>7
[6,7,5,4,3,2,1,8]=>0000001=>7
[7,5,6,4,3,2,1,8]=>0000001=>7
[6,5,7,4,3,2,1,8]=>0000001=>7
[5,6,7,4,3,2,1,8]=>0000001=>7
[7,6,4,5,3,2,1,8]=>0000001=>7
[6,7,4,5,3,2,1,8]=>0000001=>7
[7,5,4,6,3,2,1,8]=>0000001=>7
[7,4,5,6,3,2,1,8]=>0000001=>7
[6,5,4,7,3,2,1,8]=>0000001=>7
[5,6,4,7,3,2,1,8]=>0000001=>7
[5,4,6,7,3,2,1,8]=>0000001=>7
[4,5,6,7,3,2,1,8]=>0000001=>7
[7,6,5,3,4,2,1,8]=>0000001=>7
[6,7,5,3,4,2,1,8]=>0000001=>7
[7,5,6,3,4,2,1,8]=>0000001=>7
[5,6,7,3,4,2,1,8]=>0000001=>7
[7,6,4,3,5,2,1,8]=>0000001=>7
[6,7,4,3,5,2,1,8]=>0000001=>7
[7,6,3,4,5,2,1,8]=>0000001=>7
[7,5,4,3,6,2,1,8]=>0000001=>7
[7,3,4,5,6,2,1,8]=>0000001=>7
[6,5,4,3,7,2,1,8]=>0000001=>7
[5,6,4,3,7,2,1,8]=>0000001=>7
[5,4,6,3,7,2,1,8]=>0000001=>7
[5,4,3,6,7,2,1,8]=>0000001=>7
[3,4,5,6,7,2,1,8]=>0000001=>7
[7,6,5,4,2,3,1,8]=>0000001=>7
[6,7,5,4,2,3,1,8]=>0000001=>7
[7,5,6,4,2,3,1,8]=>0000001=>7
[5,6,7,4,2,3,1,8]=>0000001=>7
[7,6,4,5,2,3,1,8]=>0000001=>7
[6,7,4,5,2,3,1,8]=>0000001=>7
[7,5,4,6,2,3,1,8]=>0000001=>7
[6,5,4,7,2,3,1,8]=>0000001=>7
[5,6,4,7,2,3,1,8]=>0000001=>7
[5,4,6,7,2,3,1,8]=>0000001=>7
[4,5,6,7,2,3,1,8]=>0000001=>7
[7,6,5,3,2,4,1,8]=>0000001=>7
[6,5,7,3,2,4,1,8]=>0000001=>7
[5,6,7,3,2,4,1,8]=>0000001=>7
[7,6,5,2,3,4,1,8]=>0000001=>7
[6,7,5,2,3,4,1,8]=>0000001=>7
[7,5,6,2,3,4,1,8]=>0000001=>7
[6,5,7,2,3,4,1,8]=>0000001=>7
[5,6,7,2,3,4,1,8]=>0000001=>7
[7,6,4,3,2,5,1,8]=>0000001=>7
[6,7,4,3,2,5,1,8]=>0000001=>7
[6,7,3,4,2,5,1,8]=>0000001=>7
[7,6,4,2,3,5,1,8]=>0000001=>7
[6,7,4,2,3,5,1,8]=>0000001=>7
[7,6,3,2,4,5,1,8]=>0000001=>7
[6,7,3,2,4,5,1,8]=>0000001=>7
[7,6,2,3,4,5,1,8]=>0000001=>7
[6,7,2,3,4,5,1,8]=>0000001=>7
[7,5,4,3,2,6,1,8]=>0000001=>7
[7,4,5,3,2,6,1,8]=>0000001=>7
[7,5,3,4,2,6,1,8]=>0000001=>7
[7,4,3,5,2,6,1,8]=>0000001=>7
[7,4,5,2,3,6,1,8]=>0000001=>7
[7,5,3,2,4,6,1,8]=>0000001=>7
[7,2,3,4,5,6,1,8]=>0000001=>7
[6,5,4,3,2,7,1,8]=>0000001=>7
[5,6,4,3,2,7,1,8]=>0000001=>7
[5,4,6,3,2,7,1,8]=>0000001=>7
[5,6,3,4,2,7,1,8]=>0000001=>7
[6,3,4,5,2,7,1,8]=>0000001=>7
[5,4,3,6,2,7,1,8]=>0000001=>7
[4,5,3,6,2,7,1,8]=>0000001=>7
[3,4,5,6,2,7,1,8]=>0000001=>7
[6,3,2,4,5,7,1,8]=>0000001=>7
[6,2,3,4,5,7,1,8]=>0000001=>7
[5,4,3,2,6,7,1,8]=>0000001=>7
[5,4,2,3,6,7,1,8]=>0000001=>7
[5,2,3,4,6,7,1,8]=>0000001=>7
[4,3,2,5,6,7,1,8]=>0000001=>7
[3,4,2,5,6,7,1,8]=>0000001=>7
[4,2,3,5,6,7,1,8]=>0000001=>7
[3,2,4,5,6,7,1,8]=>0000001=>7
[2,3,4,5,6,7,1,8]=>0000001=>7
[7,6,5,4,3,1,2,8]=>0000001=>7
[6,7,5,4,3,1,2,8]=>0000001=>7
[7,5,6,4,3,1,2,8]=>0000001=>7
[7,6,4,5,3,1,2,8]=>0000001=>7
[5,4,6,7,3,1,2,8]=>0000001=>7
[4,5,6,7,3,1,2,8]=>0000001=>7
[7,6,5,3,4,1,2,8]=>0000001=>7
[6,5,7,3,4,1,2,8]=>0000001=>7
[6,7,3,4,5,1,2,8]=>0000001=>7
[6,5,4,3,7,1,2,8]=>0000001=>7
[6,4,5,3,7,1,2,8]=>0000001=>7
[5,6,3,4,7,1,2,8]=>0000001=>7
[4,3,5,6,7,1,2,8]=>0000001=>7
[3,4,5,6,7,1,2,8]=>0000001=>7
[7,6,5,4,2,1,3,8]=>0000001=>7
[6,5,7,4,2,1,3,8]=>0000001=>7
[7,6,4,5,2,1,3,8]=>0000001=>7
[4,5,6,7,2,1,3,8]=>0000001=>7
[7,6,5,4,1,2,3,8]=>0000001=>7
[5,6,7,4,1,2,3,8]=>0000001=>7
[7,4,5,6,1,2,3,8]=>0000001=>7
[5,6,4,7,1,2,3,8]=>0000001=>7
[5,4,6,7,1,2,3,8]=>0000001=>7
[7,6,5,3,2,1,4,8]=>0000001=>7
[7,6,5,2,3,1,4,8]=>0000001=>7
[5,6,7,3,1,2,4,8]=>0000001=>7
[7,6,5,2,1,3,4,8]=>0000001=>7
[6,7,5,2,1,3,4,8]=>0000001=>7
[5,6,7,2,1,3,4,8]=>0000001=>7
[7,6,5,1,2,3,4,8]=>0000001=>7
[6,7,5,1,2,3,4,8]=>0000001=>7
[7,5,6,1,2,3,4,8]=>0000001=>7
[6,5,7,1,2,3,4,8]=>0000001=>7
[5,6,7,1,2,3,4,8]=>0000001=>7
[7,6,4,3,2,1,5,8]=>0000001=>7
[6,7,4,3,2,1,5,8]=>0000001=>7
[7,6,3,4,2,1,5,8]=>0000001=>7
[6,7,3,4,2,1,5,8]=>0000001=>7
[7,6,4,2,3,1,5,8]=>0000001=>7
[7,6,3,2,4,1,5,8]=>0000001=>7
[6,7,3,2,4,1,5,8]=>0000001=>7
[7,6,2,3,4,1,5,8]=>0000001=>7
[6,7,2,3,4,1,5,8]=>0000001=>7
[7,6,4,3,1,2,5,8]=>0000001=>7
[6,7,3,4,1,2,5,8]=>0000001=>7
[7,6,4,2,1,3,5,8]=>0000001=>7
[7,6,3,2,1,4,5,8]=>0000001=>7
[6,7,3,2,1,4,5,8]=>0000001=>7
[6,7,2,3,1,4,5,8]=>0000001=>7
[6,7,3,1,2,4,5,8]=>0000001=>7
[7,6,1,2,3,4,5,8]=>0000001=>7
[6,7,1,2,3,4,5,8]=>0000001=>7
[7,5,4,3,2,1,6,8]=>0000001=>7
[7,4,5,3,2,1,6,8]=>0000001=>7
[7,4,3,5,2,1,6,8]=>0000001=>7
[7,3,4,5,2,1,6,8]=>0000001=>7
[7,5,4,2,3,1,6,8]=>0000001=>7
[7,5,3,2,4,1,6,8]=>0000001=>7
[7,5,2,3,4,1,6,8]=>0000001=>7
[7,2,3,4,5,1,6,8]=>0000001=>7
[7,5,4,3,1,2,6,8]=>0000001=>7
[7,4,5,2,1,3,6,8]=>0000001=>7
[7,4,5,1,2,3,6,8]=>0000001=>7
[7,5,3,2,1,4,6,8]=>0000001=>7
[7,5,2,3,1,4,6,8]=>0000001=>7
[7,5,3,1,2,4,6,8]=>0000001=>7
[7,5,1,2,3,4,6,8]=>0000001=>7
[7,4,3,2,1,5,6,8]=>0000001=>7
[7,2,3,4,1,5,6,8]=>0000001=>7
[7,4,3,1,2,5,6,8]=>0000001=>7
[7,4,1,2,3,5,6,8]=>0000001=>7
[7,3,2,1,4,5,6,8]=>0000001=>7
[7,2,3,1,4,5,6,8]=>0000001=>7
[7,3,1,2,4,5,6,8]=>0000001=>7
[7,2,1,3,4,5,6,8]=>0000001=>7
[7,1,2,3,4,5,6,8]=>0000001=>7
[6,5,4,3,2,1,7,8]=>0000011=>6
[5,6,4,3,2,1,7,8]=>0000011=>6
[5,4,6,3,2,1,7,8]=>0000011=>6
[4,5,6,3,2,1,7,8]=>0000011=>6
[6,5,3,4,2,1,7,8]=>0000011=>6
[5,6,3,4,2,1,7,8]=>0000011=>6
[5,4,3,6,2,1,7,8]=>0000011=>6
[3,4,5,6,2,1,7,8]=>0000011=>6
[6,5,2,3,4,1,7,8]=>0000011=>6
[5,6,2,3,4,1,7,8]=>0000011=>6
[6,4,3,2,5,1,7,8]=>0000011=>6
[6,2,3,4,5,1,7,8]=>0000011=>6
[5,4,3,2,6,1,7,8]=>0000011=>6
[4,5,3,2,6,1,7,8]=>0000011=>6
[3,4,5,2,6,1,7,8]=>0000011=>6
[5,3,2,4,6,1,7,8]=>0000011=>6
[5,2,3,4,6,1,7,8]=>0000011=>6
[4,3,2,5,6,1,7,8]=>0000011=>6
[3,4,2,5,6,1,7,8]=>0000011=>6
[4,2,3,5,6,1,7,8]=>0000011=>6
[3,2,4,5,6,1,7,8]=>0000011=>6
[2,3,4,5,6,1,7,8]=>0000011=>6
[6,5,4,3,1,2,7,8]=>0000011=>6
[5,6,4,3,1,2,7,8]=>0000011=>6
[6,4,5,3,1,2,7,8]=>0000011=>6
[5,4,6,3,1,2,7,8]=>0000011=>6
[5,6,3,4,1,2,7,8]=>0000011=>6
[6,4,3,5,1,2,7,8]=>0000011=>6
[5,4,3,6,1,2,7,8]=>0000011=>6
[4,3,5,6,1,2,7,8]=>0000011=>6
[3,4,5,6,1,2,7,8]=>0000011=>6
[6,5,4,2,1,3,7,8]=>0000011=>6
[5,6,4,2,1,3,7,8]=>0000011=>6
[5,4,6,2,1,3,7,8]=>0000011=>6
[4,5,6,2,1,3,7,8]=>0000011=>6
[6,5,4,1,2,3,7,8]=>0000011=>6
[4,5,6,1,2,3,7,8]=>0000011=>6
[6,5,3,2,1,4,7,8]=>0000011=>6
[5,6,3,2,1,4,7,8]=>0000011=>6
[5,6,2,1,3,4,7,8]=>0000011=>6
[6,4,3,2,1,5,7,8]=>0000011=>6
[6,3,4,2,1,5,7,8]=>0000011=>6
[6,4,3,1,2,5,7,8]=>0000011=>6
[6,4,2,1,3,5,7,8]=>0000011=>6
[6,4,1,2,3,5,7,8]=>0000011=>6
[6,2,3,1,4,5,7,8]=>0000011=>6
[6,3,1,2,4,5,7,8]=>0000011=>6
[6,1,2,3,4,5,7,8]=>0000011=>6
[5,4,3,2,1,6,7,8]=>0000111=>5
[4,5,3,2,1,6,7,8]=>0000111=>5
[5,3,4,2,1,6,7,8]=>0000111=>5
[4,3,5,2,1,6,7,8]=>0000111=>5
[3,4,5,2,1,6,7,8]=>0000111=>5
[5,4,2,3,1,6,7,8]=>0000111=>5
[4,5,2,3,1,6,7,8]=>0000111=>5
[5,3,2,4,1,6,7,8]=>0000111=>5
[5,2,3,4,1,6,7,8]=>0000111=>5
[4,3,2,5,1,6,7,8]=>0000111=>5
[3,4,2,5,1,6,7,8]=>0000111=>5
[4,2,3,5,1,6,7,8]=>0000111=>5
[3,2,4,5,1,6,7,8]=>0000111=>5
[2,3,4,5,1,6,7,8]=>0000111=>5
[5,4,3,1,2,6,7,8]=>0000111=>5
[5,3,4,1,2,6,7,8]=>0000111=>5
[4,3,5,1,2,6,7,8]=>0000111=>5
[3,4,5,1,2,6,7,8]=>0000111=>5
[5,4,2,1,3,6,7,8]=>0000111=>5
[4,5,2,1,3,6,7,8]=>0000111=>5
[5,4,1,2,3,6,7,8]=>0000111=>5
[4,5,1,2,3,6,7,8]=>0000111=>5
[5,3,2,1,4,6,7,8]=>0000111=>5
[5,2,3,1,4,6,7,8]=>0000111=>5
[5,3,1,2,4,6,7,8]=>0000111=>5
[5,2,1,3,4,6,7,8]=>0000111=>5
[5,1,2,3,4,6,7,8]=>0000111=>5
[4,3,2,1,5,6,7,8]=>0001111=>4
[3,4,2,1,5,6,7,8]=>0001111=>4
[4,2,3,1,5,6,7,8]=>0001111=>4
[3,2,4,1,5,6,7,8]=>0001111=>4
[2,3,4,1,5,6,7,8]=>0001111=>4
[4,3,1,2,5,6,7,8]=>0001111=>4
[3,4,1,2,5,6,7,8]=>0001111=>4
[4,2,1,3,5,6,7,8]=>0001111=>4
[4,1,2,3,5,6,7,8]=>0001111=>4
[3,2,1,4,5,6,7,8]=>0011111=>3
[2,3,1,4,5,6,7,8]=>0011111=>3
[3,1,2,4,5,6,7,8]=>0011111=>3
[2,1,3,4,5,6,7,8]=>0111111=>2
[1,2,3,4,5,6,7,8]=>1111111=>1
[6,8,7,5,4,3,2,1]=>0000000=>8
[5,8,7,6,4,3,2,1]=>0000000=>8
[5,7,8,6,4,3,2,1]=>0000000=>8
[6,5,8,7,4,3,2,1]=>0000000=>8
[5,7,6,8,4,3,2,1]=>0000000=>8
[4,8,7,6,5,3,2,1]=>0000000=>8
[4,7,8,6,5,3,2,1]=>0000000=>8
[4,6,8,7,5,3,2,1]=>0000000=>8
[4,7,6,8,5,3,2,1]=>0000000=>8
[4,6,7,8,5,3,2,1]=>0000000=>8
[4,5,8,7,6,3,2,1]=>0000000=>8
[4,5,7,8,6,3,2,1]=>0000000=>8
[4,6,5,8,7,3,2,1]=>0000000=>8
[4,5,6,8,7,3,2,1]=>0000000=>8
[5,7,6,4,8,3,2,1]=>0000000=>8
[4,7,6,5,8,3,2,1]=>0000000=>8
[4,6,7,5,8,3,2,1]=>0000000=>8
[5,4,7,6,8,3,2,1]=>0000000=>8
[4,5,7,6,8,3,2,1]=>0000000=>8
[4,6,5,7,8,3,2,1]=>0000000=>8
[3,8,7,6,5,4,2,1]=>0000000=>8
[3,7,8,6,5,4,2,1]=>0000000=>8
[3,6,8,7,5,4,2,1]=>0000000=>8
[3,5,8,7,6,4,2,1]=>0000000=>8
[3,5,7,8,6,4,2,1]=>0000000=>8
[3,5,6,8,7,4,2,1]=>0000000=>8
[3,5,6,7,8,4,2,1]=>0000000=>8
[4,3,8,7,6,5,2,1]=>0000000=>8
[4,3,6,7,8,5,2,1]=>0000000=>8
[3,4,8,7,6,5,2,1]=>0000000=>8
[3,4,6,7,8,5,2,1]=>0000000=>8
[5,4,3,8,7,6,2,1]=>0000000=>8
[5,4,3,7,8,6,2,1]=>0000000=>8
[4,5,3,7,8,6,2,1]=>0000000=>8
[4,3,5,7,8,6,2,1]=>0000000=>8
[3,4,5,8,7,6,2,1]=>0000000=>8
[6,5,4,3,8,7,2,1]=>0000000=>8
[5,6,4,3,8,7,2,1]=>0000000=>8
[4,5,6,3,8,7,2,1]=>0000000=>8
[4,3,6,5,8,7,2,1]=>0000000=>8
[5,4,3,6,8,7,2,1]=>0000000=>8
[4,5,3,6,8,7,2,1]=>0000000=>8
[4,3,5,6,8,7,2,1]=>0000000=>8
[3,4,5,6,8,7,2,1]=>0000000=>8
[5,4,7,6,3,8,2,1]=>0000000=>8
[3,7,6,5,4,8,2,1]=>0000000=>8
[4,3,7,6,5,8,2,1]=>0000000=>8
[3,4,7,6,5,8,2,1]=>0000000=>8
[4,5,3,7,6,8,2,1]=>0000000=>8
[4,3,5,7,6,8,2,1]=>0000000=>8
[3,6,5,4,7,8,2,1]=>0000000=>8
[3,4,6,5,7,8,2,1]=>0000000=>8
[2,8,7,6,5,4,3,1]=>0000000=>8
[2,7,8,6,5,4,3,1]=>0000000=>8
[2,6,8,7,5,4,3,1]=>0000000=>8
[2,7,6,8,5,4,3,1]=>0000000=>8
[2,6,7,8,5,4,3,1]=>0000000=>8
[2,5,8,7,6,4,3,1]=>0000000=>8
[2,5,6,7,8,4,3,1]=>0000000=>8
[2,4,8,7,6,5,3,1]=>0000000=>8
[2,4,7,8,6,5,3,1]=>0000000=>8
[2,4,6,8,7,5,3,1]=>0000000=>8
[2,4,6,7,8,5,3,1]=>0000000=>8
[2,5,4,8,7,6,3,1]=>0000000=>8
[2,4,5,7,8,6,3,1]=>0000000=>8
[2,6,5,4,8,7,3,1]=>0000000=>8
[2,5,6,4,8,7,3,1]=>0000000=>8
[2,4,6,5,8,7,3,1]=>0000000=>8
[2,4,5,6,8,7,3,1]=>0000000=>8
[2,4,7,6,5,8,3,1]=>0000000=>8
[2,4,6,7,5,8,3,1]=>0000000=>8
[2,6,5,4,7,8,3,1]=>0000000=>8
[2,4,6,5,7,8,3,1]=>0000000=>8
[2,4,5,6,7,8,3,1]=>0000000=>8
[3,2,8,7,6,5,4,1]=>0000000=>8
[3,2,6,8,7,5,4,1]=>0000000=>8
[3,2,5,7,6,8,4,1]=>0000000=>8
[3,2,5,6,7,8,4,1]=>0000000=>8
[2,3,8,7,6,5,4,1]=>0000000=>8
[2,3,6,7,8,5,4,1]=>0000000=>8
[2,3,5,8,7,6,4,1]=>0000000=>8
[2,3,5,6,8,7,4,1]=>0000000=>8
[2,3,5,6,7,8,4,1]=>0000000=>8
[4,3,2,8,7,6,5,1]=>0000000=>8
[4,3,2,7,8,6,5,1]=>0000000=>8
[4,3,2,6,8,7,5,1]=>0000000=>8
[3,4,2,8,7,6,5,1]=>0000000=>8
[3,4,2,7,8,6,5,1]=>0000000=>8
[2,4,3,8,7,6,5,1]=>0000000=>8
[2,4,3,6,8,7,5,1]=>0000000=>8
[2,4,3,6,7,8,5,1]=>0000000=>8
[3,2,4,8,7,6,5,1]=>0000000=>8
[2,3,4,8,7,6,5,1]=>0000000=>8
[2,3,4,6,8,7,5,1]=>0000000=>8
[2,3,4,6,7,8,5,1]=>0000000=>8
[5,4,3,2,8,7,6,1]=>0000000=>8
[5,4,3,2,7,8,6,1]=>0000000=>8
[4,5,3,2,8,7,6,1]=>0000000=>8
[4,3,5,2,8,7,6,1]=>0000000=>8
[2,5,4,3,8,7,6,1]=>0000000=>8
[2,5,4,3,7,8,6,1]=>0000000=>8
[2,4,5,3,8,7,6,1]=>0000000=>8
[2,4,5,3,7,8,6,1]=>0000000=>8
[2,3,5,4,8,7,6,1]=>0000000=>8
[4,3,2,5,8,7,6,1]=>0000000=>8
[2,3,4,5,8,7,6,1]=>0000000=>8
[2,3,4,5,7,8,6,1]=>0000000=>8
[6,5,4,3,2,8,7,1]=>0000000=>8
[4,6,5,3,2,8,7,1]=>0000000=>8
[5,4,6,3,2,8,7,1]=>0000000=>8
[4,5,6,3,2,8,7,1]=>0000000=>8
[4,3,6,5,2,8,7,1]=>0000000=>8
[2,6,5,4,3,8,7,1]=>0000000=>8
[2,4,6,5,3,8,7,1]=>0000000=>8
[2,4,5,6,3,8,7,1]=>0000000=>8
[3,2,6,5,4,8,7,1]=>0000000=>8
[4,3,2,6,5,8,7,1]=>0000000=>8
[3,4,2,6,5,8,7,1]=>0000000=>8
[2,4,3,6,5,8,7,1]=>0000000=>8
[2,3,4,6,5,8,7,1]=>0000000=>8
[5,4,3,2,6,8,7,1]=>0000000=>8
[2,5,4,3,6,8,7,1]=>0000000=>8
[2,4,5,3,6,8,7,1]=>0000000=>8
[4,3,2,5,6,8,7,1]=>0000000=>8
[3,4,2,5,6,8,7,1]=>0000000=>8
[2,4,3,5,6,8,7,1]=>0000000=>8
[2,3,4,5,6,8,7,1]=>0000000=>8
[5,7,6,4,3,2,8,1]=>0000000=>8
[4,7,6,5,3,2,8,1]=>0000000=>8
[4,6,7,5,3,2,8,1]=>0000000=>8
[4,6,5,7,3,2,8,1]=>0000000=>8
[3,5,7,6,4,2,8,1]=>0000000=>8
[4,3,6,7,5,2,8,1]=>0000000=>8
[5,4,3,7,6,2,8,1]=>0000000=>8
[3,5,4,7,6,2,8,1]=>0000000=>8
[3,4,5,7,6,2,8,1]=>0000000=>8
[4,6,5,3,7,2,8,1]=>0000000=>8
[3,6,5,4,7,2,8,1]=>0000000=>8
[3,5,6,4,7,2,8,1]=>0000000=>8
[4,3,6,5,7,2,8,1]=>0000000=>8
[3,4,6,5,7,2,8,1]=>0000000=>8
[2,7,6,5,4,3,8,1]=>0000000=>8
[2,6,5,7,4,3,8,1]=>0000000=>8
[2,4,6,7,5,3,8,1]=>0000000=>8
[2,5,4,7,6,3,8,1]=>0000000=>8
[2,4,6,5,7,3,8,1]=>0000000=>8
[2,4,5,6,7,3,8,1]=>0000000=>8
[3,2,7,6,5,4,8,1]=>0000000=>8
[3,2,6,7,5,4,8,1]=>0000000=>8
[2,3,7,6,5,4,8,1]=>0000000=>8
[2,3,5,7,6,4,8,1]=>0000000=>8
[2,3,5,6,7,4,8,1]=>0000000=>8
[4,3,2,7,6,5,8,1]=>0000000=>8
[3,4,2,7,6,5,8,1]=>0000000=>8
[3,4,2,6,7,5,8,1]=>0000000=>8
[2,4,3,7,6,5,8,1]=>0000000=>8
[2,4,3,6,7,5,8,1]=>0000000=>8
[3,2,4,7,6,5,8,1]=>0000000=>8
[2,3,4,7,6,5,8,1]=>0000000=>8
[2,3,4,6,7,5,8,1]=>0000000=>8
[5,4,3,2,7,6,8,1]=>0000000=>8
[4,3,5,2,7,6,8,1]=>0000000=>8
[2,5,4,3,7,6,8,1]=>0000000=>8
[3,2,5,4,7,6,8,1]=>0000000=>8
[2,3,5,4,7,6,8,1]=>0000000=>8
[4,3,2,5,7,6,8,1]=>0000000=>8
[2,4,3,5,7,6,8,1]=>0000000=>8
[3,2,4,5,7,6,8,1]=>0000000=>8
[2,3,4,5,7,6,8,1]=>0000000=>8
[3,4,6,5,2,7,8,1]=>0000000=>8
[2,6,5,4,3,7,8,1]=>0000000=>8
[2,5,6,4,3,7,8,1]=>0000000=>8
[2,4,6,5,3,7,8,1]=>0000000=>8
[2,4,5,6,3,7,8,1]=>0000000=>8
[2,3,6,5,4,7,8,1]=>0000000=>8
[2,3,5,6,4,7,8,1]=>0000000=>8
[4,3,2,6,5,7,8,1]=>0000000=>8
[2,4,3,6,5,7,8,1]=>0000000=>8
[2,3,4,6,5,7,8,1]=>0000000=>8
[3,5,4,2,6,7,8,1]=>0000000=>8
[2,5,4,3,6,7,8,1]=>0000000=>8
[2,4,5,3,6,7,8,1]=>0000000=>8
[3,2,5,4,6,7,8,1]=>0000000=>8
[2,3,5,4,6,7,8,1]=>0000000=>8
[2,4,3,5,6,7,8,1]=>0000000=>8
[1,8,7,6,5,4,3,2]=>1000000=>1
[1,7,8,6,5,4,3,2]=>1000000=>1
[1,6,8,7,5,4,3,2]=>1000000=>1
[1,7,6,8,5,4,3,2]=>1000000=>1
[1,6,7,8,5,4,3,2]=>1000000=>1
[1,5,8,7,6,4,3,2]=>1000000=>1
[1,6,5,8,7,4,3,2]=>1000000=>1
[1,7,6,5,8,4,3,2]=>1000000=>1
[1,6,7,5,8,4,3,2]=>1000000=>1
[1,5,7,6,8,4,3,2]=>1000000=>1
[1,6,5,7,8,4,3,2]=>1000000=>1
[1,5,6,7,8,4,3,2]=>1000000=>1
[1,4,8,7,6,5,3,2]=>1000000=>1
[1,4,7,8,6,5,3,2]=>1000000=>1
[1,4,6,8,7,5,3,2]=>1000000=>1
[1,4,6,7,8,5,3,2]=>1000000=>1
[1,5,4,7,8,6,3,2]=>1000000=>1
[1,4,5,8,7,6,3,2]=>1000000=>1
[1,4,6,5,8,7,3,2]=>1000000=>1
[1,4,7,6,5,8,3,2]=>1000000=>1
[1,6,5,4,7,8,3,2]=>1000000=>1
[1,5,4,6,7,8,3,2]=>1000000=>1
[1,4,5,6,7,8,3,2]=>1000000=>1
[1,3,8,7,6,5,4,2]=>1000000=>1
[1,3,7,8,6,5,4,2]=>1000000=>1
[1,3,6,8,7,5,4,2]=>1000000=>1
[1,3,6,7,8,5,4,2]=>1000000=>1
[1,3,5,8,7,6,4,2]=>1000000=>1
[1,3,5,7,8,6,4,2]=>1000000=>1
[1,3,5,6,8,7,4,2]=>1000000=>1
[1,3,6,5,7,8,4,2]=>1000000=>1
[1,3,5,6,7,8,4,2]=>1000000=>1
[1,4,3,8,7,6,5,2]=>1000000=>1
[1,4,3,7,8,6,5,2]=>1000000=>1
[1,4,3,6,8,7,5,2]=>1000000=>1
[1,4,3,7,6,8,5,2]=>1000000=>1
[1,4,3,6,7,8,5,2]=>1000000=>1
[1,3,4,8,7,6,5,2]=>1000000=>1
[1,3,4,7,6,8,5,2]=>1000000=>1
[1,3,4,6,7,8,5,2]=>1000000=>1
[1,3,5,4,8,7,6,2]=>1000000=>1
[1,4,3,5,8,7,6,2]=>1000000=>1
[1,4,3,5,7,8,6,2]=>1000000=>1
[1,3,4,5,7,8,6,2]=>1000000=>1
[1,6,5,4,3,8,7,2]=>1000000=>1
[1,5,6,4,3,8,7,2]=>1000000=>1
[1,4,6,5,3,8,7,2]=>1000000=>1
[1,4,5,6,3,8,7,2]=>1000000=>1
[1,3,6,5,4,8,7,2]=>1000000=>1
[1,4,3,6,5,8,7,2]=>1000000=>1
[1,5,4,3,6,8,7,2]=>1000000=>1
[1,4,5,3,6,8,7,2]=>1000000=>1
[1,3,4,5,6,8,7,2]=>1000000=>1
[1,7,6,5,4,3,8,2]=>1000000=>1
[1,4,6,7,5,3,8,2]=>1000000=>1
[1,5,4,6,7,3,8,2]=>1000000=>1
[1,3,5,6,7,4,8,2]=>1000000=>1
[1,3,4,7,6,5,8,2]=>1000000=>1
[1,3,4,6,7,5,8,2]=>1000000=>1
[1,4,3,6,5,7,8,2]=>1000000=>1
[1,3,4,6,5,7,8,2]=>1000000=>1
[1,5,4,3,6,7,8,2]=>1000000=>1
[1,4,5,3,6,7,8,2]=>1000000=>1
[1,4,3,5,6,7,8,2]=>1000000=>1
[1,3,4,5,6,7,8,2]=>1000000=>1
[2,1,8,7,6,5,4,3]=>0100000=>2
[2,1,6,7,8,5,4,3]=>0100000=>2
[2,1,5,7,8,6,4,3]=>0100000=>2
[2,1,6,5,8,7,4,3]=>0100000=>2
[2,1,5,7,6,8,4,3]=>0100000=>2
[2,1,5,6,7,8,4,3]=>0100000=>2
[2,1,4,8,7,6,5,3]=>0100000=>2
[2,1,4,7,8,6,5,3]=>0100000=>2
[2,1,4,6,8,7,5,3]=>0100000=>2
[2,1,4,6,7,8,5,3]=>0100000=>2
[2,1,5,4,8,7,6,3]=>0100000=>2
[2,1,4,5,8,7,6,3]=>0100000=>2
[2,1,4,5,7,8,6,3]=>0100000=>2
[2,1,4,6,5,8,7,3]=>0100000=>2
[2,1,5,4,6,8,7,3]=>0100000=>2
[2,1,4,5,6,8,7,3]=>0100000=>2
[2,1,7,6,5,4,8,3]=>0100000=>2
[2,1,6,7,5,4,8,3]=>0100000=>2
[2,1,5,7,6,4,8,3]=>0100000=>2
[2,1,5,6,7,4,8,3]=>0100000=>2
[2,1,4,7,6,5,8,3]=>0100000=>2
[2,1,5,4,7,6,8,3]=>0100000=>2
[2,1,5,4,6,7,8,3]=>0100000=>2
[2,1,4,5,6,7,8,3]=>0100000=>2
[1,2,8,7,6,5,4,3]=>1100000=>1
[1,2,7,8,6,5,4,3]=>1100000=>1
[1,2,6,7,8,5,4,3]=>1100000=>1
[1,2,5,8,7,6,4,3]=>1100000=>1
[1,2,5,6,8,7,4,3]=>1100000=>1
[1,2,7,6,5,8,4,3]=>1100000=>1
[1,2,5,6,7,8,4,3]=>1100000=>1
[1,2,4,8,7,6,5,3]=>1100000=>1
[1,2,4,7,8,6,5,3]=>1100000=>1
[1,2,4,6,8,7,5,3]=>1100000=>1
[1,2,4,6,7,8,5,3]=>1100000=>1
[1,2,5,4,8,7,6,3]=>1100000=>1
[1,2,5,4,7,8,6,3]=>1100000=>1
[1,2,4,5,8,7,6,3]=>1100000=>1
[1,2,4,5,7,8,6,3]=>1100000=>1
[1,2,6,5,4,8,7,3]=>1100000=>1
[1,2,4,6,5,8,7,3]=>1100000=>1
[1,2,5,4,6,8,7,3]=>1100000=>1
[1,2,4,5,6,8,7,3]=>1100000=>1
[1,2,5,6,7,4,8,3]=>1100000=>1
[1,2,4,7,6,5,8,3]=>1100000=>1
[1,2,5,4,7,6,8,3]=>1100000=>1
[1,2,6,5,4,7,8,3]=>1100000=>1
[1,2,5,4,6,7,8,3]=>1100000=>1
[1,2,4,5,6,7,8,3]=>1100000=>1
[3,2,1,8,7,6,5,4]=>0010000=>3
[3,2,1,7,8,6,5,4]=>0010000=>3
[3,2,1,6,8,7,5,4]=>0010000=>3
[3,2,1,7,6,8,5,4]=>0010000=>3
[3,2,1,6,7,8,5,4]=>0010000=>3
[3,2,1,5,8,7,6,4]=>0010000=>3
[3,2,1,5,7,8,6,4]=>0010000=>3
[3,2,1,6,5,8,7,4]=>0010000=>3
[3,2,1,5,6,8,7,4]=>0010000=>3
[3,2,1,7,6,5,8,4]=>0010000=>3
[3,2,1,6,7,5,8,4]=>0010000=>3
[3,2,1,5,7,6,8,4]=>0010000=>3
[3,2,1,6,5,7,8,4]=>0010000=>3
[3,2,1,5,6,7,8,4]=>0010000=>3
[2,3,1,8,7,6,5,4]=>0010000=>3
[2,3,1,6,8,7,5,4]=>0010000=>3
[2,3,1,7,6,8,5,4]=>0010000=>3
[2,3,1,6,7,8,5,4]=>0010000=>3
[2,3,1,6,5,8,7,4]=>0010000=>3
[2,3,1,5,6,7,8,4]=>0010000=>3
[1,3,2,8,7,6,5,4]=>1010000=>1
[1,3,2,6,8,7,5,4]=>1010000=>1
[1,3,2,6,7,8,5,4]=>1010000=>1
[1,3,2,5,8,7,6,4]=>1010000=>1
[1,3,2,5,7,8,6,4]=>1010000=>1
[1,3,2,6,5,8,7,4]=>1010000=>1
[1,3,2,5,6,8,7,4]=>1010000=>1
[1,3,2,7,6,5,8,4]=>1010000=>1
[2,1,3,8,7,6,5,4]=>0110000=>2
[2,1,3,7,8,6,5,4]=>0110000=>2
[2,1,3,6,8,7,5,4]=>0110000=>2
[2,1,3,6,5,8,7,4]=>0110000=>2
[2,1,3,5,6,7,8,4]=>0110000=>2
[1,2,3,8,7,6,5,4]=>1110000=>1
[1,2,3,7,8,6,5,4]=>1110000=>1
[1,2,3,6,8,7,5,4]=>1110000=>1
[1,2,3,7,6,8,5,4]=>1110000=>1
[1,2,3,6,7,8,5,4]=>1110000=>1
[1,2,3,5,8,7,6,4]=>1110000=>1
[1,2,3,5,7,8,6,4]=>1110000=>1
[1,2,3,6,5,8,7,4]=>1110000=>1
[1,2,3,5,6,8,7,4]=>1110000=>1
[1,2,3,7,6,5,8,4]=>1110000=>1
[1,2,3,6,7,5,8,4]=>1110000=>1
[1,2,3,5,7,6,8,4]=>1110000=>1
[1,2,3,6,5,7,8,4]=>1110000=>1
[1,2,3,5,6,7,8,4]=>1110000=>1
[4,3,2,1,8,7,6,5]=>0001000=>4
[4,3,2,1,7,8,6,5]=>0001000=>4
[4,3,2,1,6,8,7,5]=>0001000=>4
[4,3,2,1,7,6,8,5]=>0001000=>4
[4,3,2,1,6,7,8,5]=>0001000=>4
[3,4,2,1,8,7,6,5]=>0001000=>4
[3,4,2,1,7,8,6,5]=>0001000=>4
[3,4,2,1,6,7,8,5]=>0001000=>4
[2,4,3,1,8,7,6,5]=>0001000=>4
[2,4,3,1,7,6,8,5]=>0001000=>4
[3,2,4,1,8,7,6,5]=>0001000=>4
[3,2,4,1,7,8,6,5]=>0001000=>4
[3,2,4,1,6,8,7,5]=>0001000=>4
[3,2,4,1,7,6,8,5]=>0001000=>4
[2,3,4,1,8,7,6,5]=>0001000=>4
[2,3,4,1,6,7,8,5]=>0001000=>4
[1,4,3,2,8,7,6,5]=>1001000=>1
[1,4,3,2,6,8,7,5]=>1001000=>1
[1,4,3,2,7,6,8,5]=>1001000=>1
[1,4,3,2,6,7,8,5]=>1001000=>1
[1,3,4,2,8,7,6,5]=>1001000=>1
[1,3,4,2,7,8,6,5]=>1001000=>1
[1,3,4,2,6,8,7,5]=>1001000=>1
[2,1,4,3,8,7,6,5]=>0101000=>2
[2,1,4,3,7,8,6,5]=>0101000=>2
[2,1,4,3,6,8,7,5]=>0101000=>2
[1,2,4,3,8,7,6,5]=>1101000=>1
[1,2,4,3,7,8,6,5]=>1101000=>1
[1,2,4,3,6,8,7,5]=>1101000=>1
[1,2,4,3,6,7,8,5]=>1101000=>1
[3,2,1,4,8,7,6,5]=>0011000=>3
[3,2,1,4,7,8,6,5]=>0011000=>3
[3,2,1,4,6,8,7,5]=>0011000=>3
[2,3,1,4,8,7,6,5]=>0011000=>3
[2,3,1,4,7,8,6,5]=>0011000=>3
[2,3,1,4,6,7,8,5]=>0011000=>3
[1,3,2,4,8,7,6,5]=>1011000=>1
[1,3,2,4,6,8,7,5]=>1011000=>1
[1,3,2,4,6,7,8,5]=>1011000=>1
[2,1,3,4,8,7,6,5]=>0111000=>2
[2,1,3,4,7,8,6,5]=>0111000=>2
[2,1,3,4,6,7,8,5]=>0111000=>2
[1,2,3,4,8,7,6,5]=>1111000=>1
[1,2,3,4,7,8,6,5]=>1111000=>1
[1,2,3,4,6,8,7,5]=>1111000=>1
[1,2,3,4,7,6,8,5]=>1111000=>1
[1,2,3,4,6,7,8,5]=>1111000=>1
[5,4,3,2,1,8,7,6]=>0000100=>5
[5,4,3,2,1,7,8,6]=>0000100=>5
[4,5,3,2,1,8,7,6]=>0000100=>5
[3,5,4,2,1,8,7,6]=>0000100=>5
[3,5,4,2,1,7,8,6]=>0000100=>5
[4,3,5,2,1,8,7,6]=>0000100=>5
[3,4,5,2,1,8,7,6]=>0000100=>5
[2,5,4,3,1,8,7,6]=>0000100=>5
[2,4,5,3,1,8,7,6]=>0000100=>5
[2,4,5,3,1,7,8,6]=>0000100=>5
[3,2,5,4,1,8,7,6]=>0000100=>5
[3,2,5,4,1,7,8,6]=>0000100=>5
[2,3,5,4,1,8,7,6]=>0000100=>5
[4,3,2,5,1,8,7,6]=>0000100=>5
[3,4,2,5,1,8,7,6]=>0000100=>5
[2,4,3,5,1,8,7,6]=>0000100=>5
[3,2,4,5,1,8,7,6]=>0000100=>5
[2,3,4,5,1,8,7,6]=>0000100=>5
[2,3,4,5,1,7,8,6]=>0000100=>5
[1,5,4,3,2,8,7,6]=>1000100=>1
[1,5,4,3,2,7,8,6]=>1000100=>1
[1,3,5,4,2,7,8,6]=>1000100=>1
[1,3,4,5,2,8,7,6]=>1000100=>1
[1,3,4,5,2,7,8,6]=>1000100=>1
[2,1,5,4,3,8,7,6]=>0100100=>2
[2,1,4,5,3,8,7,6]=>0100100=>2
[1,2,5,4,3,8,7,6]=>1100100=>1
[1,2,5,4,3,7,8,6]=>1100100=>1
[1,2,4,5,3,8,7,6]=>1100100=>1
[1,2,4,5,3,7,8,6]=>1100100=>1
[1,3,2,5,4,8,7,6]=>1010100=>1
[1,3,2,5,4,7,8,6]=>1010100=>1
[2,1,3,5,4,8,7,6]=>0110100=>2
[2,1,3,5,4,7,8,6]=>0110100=>2
[1,2,3,5,4,8,7,6]=>1110100=>1
[1,2,3,5,4,7,8,6]=>1110100=>1
[4,3,2,1,5,8,7,6]=>0001100=>4
[4,3,2,1,5,7,8,6]=>0001100=>4
[2,4,3,1,5,8,7,6]=>0001100=>4
[3,2,4,1,5,8,7,6]=>0001100=>4
[1,4,3,2,5,8,7,6]=>1001100=>1
[1,4,3,2,5,7,8,6]=>1001100=>1
[1,3,4,2,5,7,8,6]=>1001100=>1
[2,1,4,3,5,8,7,6]=>0101100=>2
[2,1,4,3,5,7,8,6]=>0101100=>2
[1,2,4,3,5,8,7,6]=>1101100=>1
[1,2,4,3,5,7,8,6]=>1101100=>1
[3,2,1,4,5,8,7,6]=>0011100=>3
[3,2,1,4,5,7,8,6]=>0011100=>3
[2,3,1,4,5,7,8,6]=>0011100=>3
[1,3,2,4,5,8,7,6]=>1011100=>1
[1,3,2,4,5,7,8,6]=>1011100=>1
[2,1,3,4,5,8,7,6]=>0111100=>2
[2,1,3,4,5,7,8,6]=>0111100=>2
[1,2,3,4,5,8,7,6]=>1111100=>1
[1,2,3,4,5,7,8,6]=>1111100=>1
[6,5,4,3,2,1,8,7]=>0000010=>6
[5,6,4,3,2,1,8,7]=>0000010=>6
[4,6,5,3,2,1,8,7]=>0000010=>6
[5,4,6,3,2,1,8,7]=>0000010=>6
[4,5,6,3,2,1,8,7]=>0000010=>6
[3,6,5,4,2,1,8,7]=>0000010=>6
[4,3,6,5,2,1,8,7]=>0000010=>6
[3,4,5,6,2,1,8,7]=>0000010=>6
[2,6,5,4,3,1,8,7]=>0000010=>6
[4,3,2,6,5,1,8,7]=>0000010=>6
[5,4,3,2,6,1,8,7]=>0000010=>6
[4,5,3,2,6,1,8,7]=>0000010=>6
[3,5,4,2,6,1,8,7]=>0000010=>6
[3,2,5,4,6,1,8,7]=>0000010=>6
[4,3,2,5,6,1,8,7]=>0000010=>6
[2,4,3,5,6,1,8,7]=>0000010=>6
[2,3,4,5,6,1,8,7]=>0000010=>6
[1,6,5,4,3,2,8,7]=>1000010=>1
[1,5,6,4,3,2,8,7]=>1000010=>1
[1,5,4,6,3,2,8,7]=>1000010=>1
[1,3,6,5,4,2,8,7]=>1000010=>1
[1,3,4,5,6,2,8,7]=>1000010=>1
[2,1,6,5,4,3,8,7]=>0100010=>2
[2,1,5,6,4,3,8,7]=>0100010=>2
[2,1,5,4,6,3,8,7]=>0100010=>2
[2,1,4,5,6,3,8,7]=>0100010=>2
[1,2,4,5,6,3,8,7]=>1100010=>1
[3,2,1,6,5,4,8,7]=>0010010=>3
[2,3,1,6,5,4,8,7]=>0010010=>3
[1,3,2,6,5,4,8,7]=>1010010=>1
[1,3,2,5,6,4,8,7]=>1010010=>1
[2,1,3,6,5,4,8,7]=>0110010=>2
[2,1,3,5,6,4,8,7]=>0110010=>2
[1,2,3,6,5,4,8,7]=>1110010=>1
[1,2,3,5,6,4,8,7]=>1110010=>1
[4,3,2,1,6,5,8,7]=>0001010=>4
[3,4,2,1,6,5,8,7]=>0001010=>4
[3,2,4,1,6,5,8,7]=>0001010=>4
[2,3,4,1,6,5,8,7]=>0001010=>4
[1,3,4,2,6,5,8,7]=>1001010=>1
[2,1,4,3,6,5,8,7]=>0101010=>2
[1,2,4,3,6,5,8,7]=>1101010=>1
[2,3,1,4,6,5,8,7]=>0011010=>3
[1,3,2,4,6,5,8,7]=>1011010=>1
[2,1,3,4,6,5,8,7]=>0111010=>2
[1,2,3,4,6,5,8,7]=>1111010=>1
[5,4,3,2,1,6,8,7]=>0000110=>5
[4,5,3,2,1,6,8,7]=>0000110=>5
[3,5,4,2,1,6,8,7]=>0000110=>5
[4,3,5,2,1,6,8,7]=>0000110=>5
[3,4,5,2,1,6,8,7]=>0000110=>5
[2,5,4,3,1,6,8,7]=>0000110=>5
[2,4,5,3,1,6,8,7]=>0000110=>5
[3,2,5,4,1,6,8,7]=>0000110=>5
[2,3,5,4,1,6,8,7]=>0000110=>5
[2,4,3,5,1,6,8,7]=>0000110=>5
[2,3,4,5,1,6,8,7]=>0000110=>5
[1,4,5,3,2,6,8,7]=>1000110=>1
[1,3,5,4,2,6,8,7]=>1000110=>1
[2,1,5,4,3,6,8,7]=>0100110=>2
[1,2,5,4,3,6,8,7]=>1100110=>1
[2,1,3,5,4,6,8,7]=>0110110=>2
[1,2,3,5,4,6,8,7]=>1110110=>1
[4,3,2,1,5,6,8,7]=>0001110=>4
[2,3,4,1,5,6,8,7]=>0001110=>4
[1,4,3,2,5,6,8,7]=>1001110=>1
[1,3,4,2,5,6,8,7]=>1001110=>1
[2,1,4,3,5,6,8,7]=>0101110=>2
[1,2,4,3,5,6,8,7]=>1101110=>1
[3,2,1,4,5,6,8,7]=>0011110=>3
[2,3,1,4,5,6,8,7]=>0011110=>3
[1,3,2,4,5,6,8,7]=>1011110=>1
[2,1,3,4,5,6,8,7]=>0111110=>2
[1,2,3,4,5,6,8,7]=>1111110=>1
[5,7,6,4,3,2,1,8]=>0000001=>7
[4,7,6,5,3,2,1,8]=>0000001=>7
[4,6,7,5,3,2,1,8]=>0000001=>7
[5,4,7,6,3,2,1,8]=>0000001=>7
[4,5,7,6,3,2,1,8]=>0000001=>7
[4,6,5,7,3,2,1,8]=>0000001=>7
[3,5,7,6,4,2,1,8]=>0000001=>7
[3,5,6,7,4,2,1,8]=>0000001=>7
[4,3,7,6,5,2,1,8]=>0000001=>7
[3,4,7,6,5,2,1,8]=>0000001=>7
[4,5,3,7,6,2,1,8]=>0000001=>7
[3,5,4,7,6,2,1,8]=>0000001=>7
[4,3,5,7,6,2,1,8]=>0000001=>7
[3,6,5,4,7,2,1,8]=>0000001=>7
[4,3,6,5,7,2,1,8]=>0000001=>7
[2,7,6,5,4,3,1,8]=>0000001=>7
[2,6,7,5,4,3,1,8]=>0000001=>7
[2,5,7,6,4,3,1,8]=>0000001=>7
[2,5,6,7,4,3,1,8]=>0000001=>7
[2,4,6,7,5,3,1,8]=>0000001=>7
[2,5,6,4,7,3,1,8]=>0000001=>7
[3,2,7,6,5,4,1,8]=>0000001=>7
[3,2,6,7,5,4,1,8]=>0000001=>7
[3,2,5,7,6,4,1,8]=>0000001=>7
[3,2,6,5,7,4,1,8]=>0000001=>7
[3,2,5,6,7,4,1,8]=>0000001=>7
[2,3,7,6,5,4,1,8]=>0000001=>7
[2,3,6,7,5,4,1,8]=>0000001=>7
[2,3,5,7,6,4,1,8]=>0000001=>7
[2,3,6,5,7,4,1,8]=>0000001=>7
[2,3,5,6,7,4,1,8]=>0000001=>7
[3,2,4,6,7,5,1,8]=>0000001=>7
[2,3,4,7,6,5,1,8]=>0000001=>7
[5,4,3,2,7,6,1,8]=>0000001=>7
[4,5,3,2,7,6,1,8]=>0000001=>7
[3,5,4,2,7,6,1,8]=>0000001=>7
[4,3,5,2,7,6,1,8]=>0000001=>7
[3,4,5,2,7,6,1,8]=>0000001=>7
[3,2,5,4,7,6,1,8]=>0000001=>7
[2,3,4,5,7,6,1,8]=>0000001=>7
[3,4,6,5,2,7,1,8]=>0000001=>7
[3,5,4,6,2,7,1,8]=>0000001=>7
[2,5,4,6,3,7,1,8]=>0000001=>7
[3,2,6,5,4,7,1,8]=>0000001=>7
[4,3,2,6,5,7,1,8]=>0000001=>7
[3,4,2,6,5,7,1,8]=>0000001=>7
[2,4,3,6,5,7,1,8]=>0000001=>7
[2,3,4,6,5,7,1,8]=>0000001=>7
[3,5,4,2,6,7,1,8]=>0000001=>7
[2,5,4,3,6,7,1,8]=>0000001=>7
[1,7,6,5,4,3,2,8]=>1000001=>1
[1,6,7,5,4,3,2,8]=>1000001=>1
[1,6,5,7,4,3,2,8]=>1000001=>1
[1,5,6,7,4,3,2,8]=>1000001=>1
[1,5,6,4,7,3,2,8]=>1000001=>1
[1,4,6,5,7,3,2,8]=>1000001=>1
[1,3,6,7,5,4,2,8]=>1000001=>1
[1,3,5,7,6,4,2,8]=>1000001=>1
[1,3,5,6,7,4,2,8]=>1000001=>1
[1,3,4,6,7,5,2,8]=>1000001=>1
[1,3,5,4,7,6,2,8]=>1000001=>1
[1,4,3,5,7,6,2,8]=>1000001=>1
[1,5,4,6,3,7,2,8]=>1000001=>1
[1,3,6,5,4,7,2,8]=>1000001=>1
[1,3,5,6,4,7,2,8]=>1000001=>1
[1,4,3,6,5,7,2,8]=>1000001=>1
[1,4,5,3,6,7,2,8]=>1000001=>1
[1,3,4,5,6,7,2,8]=>1000001=>1
[2,1,7,6,5,4,3,8]=>0100001=>2
[2,1,6,7,5,4,3,8]=>0100001=>2
[2,1,5,6,7,4,3,8]=>0100001=>2
[2,1,5,4,6,7,3,8]=>0100001=>2
[2,1,4,5,6,7,3,8]=>0100001=>2
[1,2,7,6,5,4,3,8]=>1100001=>1
[1,2,6,7,5,4,3,8]=>1100001=>1
[1,2,5,7,6,4,3,8]=>1100001=>1
[1,2,5,6,7,4,3,8]=>1100001=>1
[1,2,4,6,7,5,3,8]=>1100001=>1
[1,2,5,6,4,7,3,8]=>1100001=>1
[1,2,5,4,6,7,3,8]=>1100001=>1
[1,2,4,5,6,7,3,8]=>1100001=>1
[3,2,1,7,6,5,4,8]=>0010001=>3
[3,2,1,5,7,6,4,8]=>0010001=>3
[3,2,1,6,5,7,4,8]=>0010001=>3
[2,3,1,6,5,7,4,8]=>0010001=>3
[2,3,1,5,6,7,4,8]=>0010001=>3
[1,3,2,5,7,6,4,8]=>1010001=>1
[1,3,2,6,5,7,4,8]=>1010001=>1
[2,1,3,6,7,5,4,8]=>0110001=>2
[1,2,3,7,6,5,4,8]=>1110001=>1
[1,2,3,6,7,5,4,8]=>1110001=>1
[1,2,3,5,7,6,4,8]=>1110001=>1
[1,2,3,6,5,7,4,8]=>1110001=>1
[1,2,3,5,6,7,4,8]=>1110001=>1
[4,3,2,1,7,6,5,8]=>0001001=>4
[4,3,2,1,6,7,5,8]=>0001001=>4
[2,3,4,1,7,6,5,8]=>0001001=>4
[2,3,4,1,6,7,5,8]=>0001001=>4
[1,4,3,2,7,6,5,8]=>1001001=>1
[1,4,3,2,6,7,5,8]=>1001001=>1
[1,3,4,2,6,7,5,8]=>1001001=>1
[2,1,4,3,6,7,5,8]=>0101001=>2
[1,2,4,3,6,7,5,8]=>1101001=>1
[3,2,1,4,7,6,5,8]=>0011001=>3
[1,3,2,4,7,6,5,8]=>1011001=>1
[1,2,3,4,7,6,5,8]=>1111001=>1
[1,2,3,4,6,7,5,8]=>1111001=>1
[5,4,3,2,1,7,6,8]=>0000101=>5
[3,5,4,2,1,7,6,8]=>0000101=>5
[3,4,5,2,1,7,6,8]=>0000101=>5
[2,4,5,3,1,7,6,8]=>0000101=>5
[3,2,5,4,1,7,6,8]=>0000101=>5
[2,3,5,4,1,7,6,8]=>0000101=>5
[3,4,2,5,1,7,6,8]=>0000101=>5
[2,4,3,5,1,7,6,8]=>0000101=>5
[2,3,4,5,1,7,6,8]=>0000101=>5
[1,3,5,4,2,7,6,8]=>1000101=>1
[1,4,3,5,2,7,6,8]=>1000101=>1
[1,3,4,5,2,7,6,8]=>1000101=>1
[2,1,5,4,3,7,6,8]=>0100101=>2
[1,2,4,5,3,7,6,8]=>1100101=>1
[3,2,1,5,4,7,6,8]=>0010101=>3
[2,3,1,5,4,7,6,8]=>0010101=>3
[1,3,2,5,4,7,6,8]=>1010101=>1
[1,2,3,5,4,7,6,8]=>1110101=>1
[4,3,2,1,5,7,6,8]=>0001101=>4
[1,4,3,2,5,7,6,8]=>1001101=>1
[1,2,4,3,5,7,6,8]=>1101101=>1
[3,2,1,4,5,7,6,8]=>0011101=>3
[2,3,1,4,5,7,6,8]=>0011101=>3
[1,3,2,4,5,7,6,8]=>1011101=>1
[2,1,3,4,5,7,6,8]=>0111101=>2
[1,2,3,4,5,7,6,8]=>1111101=>1
[3,6,5,4,2,1,7,8]=>0000011=>6
[4,3,6,5,2,1,7,8]=>0000011=>6
[2,4,6,5,3,1,7,8]=>0000011=>6
[2,4,5,6,3,1,7,8]=>0000011=>6
[4,3,2,6,5,1,7,8]=>0000011=>6
[2,4,3,6,5,1,7,8]=>0000011=>6
[2,3,4,6,5,1,7,8]=>0000011=>6
[3,5,4,2,6,1,7,8]=>0000011=>6
[2,3,5,4,6,1,7,8]=>0000011=>6
[1,6,5,4,3,2,7,8]=>1000011=>1
[1,5,6,4,3,2,7,8]=>1000011=>1
[1,4,6,5,3,2,7,8]=>1000011=>1
[1,5,4,6,3,2,7,8]=>1000011=>1
[1,4,5,6,3,2,7,8]=>1000011=>1
[1,3,5,6,4,2,7,8]=>1000011=>1
[1,4,3,6,5,2,7,8]=>1000011=>1
[1,5,4,3,6,2,7,8]=>1000011=>1
[1,4,5,3,6,2,7,8]=>1000011=>1
[1,4,3,5,6,2,7,8]=>1000011=>1
[1,3,4,5,6,2,7,8]=>1000011=>1
[2,1,5,6,4,3,7,8]=>0100011=>2
[2,1,4,6,5,3,7,8]=>0100011=>2
[1,2,6,5,4,3,7,8]=>1100011=>1
[1,2,5,6,4,3,7,8]=>1100011=>1
[1,2,4,5,6,3,7,8]=>1100011=>1
[3,2,1,6,5,4,7,8]=>0010011=>3
[3,2,1,5,6,4,7,8]=>0010011=>3
[2,3,1,6,5,4,7,8]=>0010011=>3
[2,3,1,5,6,4,7,8]=>0010011=>3
[1,3,2,6,5,4,7,8]=>1010011=>1
[1,2,3,6,5,4,7,8]=>1110011=>1
[1,2,3,5,6,4,7,8]=>1110011=>1
[4,3,2,1,6,5,7,8]=>0001011=>4
[2,4,3,1,6,5,7,8]=>0001011=>4
[3,2,4,1,6,5,7,8]=>0001011=>4
[2,3,4,1,6,5,7,8]=>0001011=>4
[2,1,4,3,6,5,7,8]=>0101011=>2
[1,2,4,3,6,5,7,8]=>1101011=>1
[1,3,2,4,6,5,7,8]=>1011011=>1
[2,1,3,4,6,5,7,8]=>0111011=>2
[1,2,3,4,6,5,7,8]=>1111011=>1
[3,5,4,2,1,6,7,8]=>0000111=>5
[2,5,4,3,1,6,7,8]=>0000111=>5
[2,4,5,3,1,6,7,8]=>0000111=>5
[3,2,5,4,1,6,7,8]=>0000111=>5
[2,3,5,4,1,6,7,8]=>0000111=>5
[2,4,3,5,1,6,7,8]=>0000111=>5
[1,3,4,5,2,6,7,8]=>1000111=>1
[2,1,5,4,3,6,7,8]=>0100111=>2
[2,1,4,5,3,6,7,8]=>0100111=>2
[1,2,5,4,3,6,7,8]=>1100111=>1
[3,2,1,5,4,6,7,8]=>0010111=>3
[2,3,1,5,4,6,7,8]=>0010111=>3
[1,3,2,5,4,6,7,8]=>1010111=>1
[2,1,3,5,4,6,7,8]=>0110111=>2
[1,2,3,5,4,6,7,8]=>1110111=>1
[2,4,3,1,5,6,7,8]=>0001111=>4
[1,4,3,2,5,6,7,8]=>1001111=>1
[1,3,4,2,5,6,7,8]=>1001111=>1
[2,1,4,3,5,6,7,8]=>0101111=>2
[1,2,4,3,5,6,7,8]=>1101111=>1
[1,3,2,4,5,6,7,8]=>1011111=>1
[1,2,3,4,8,6,7,5]=>1111000=>1
[1,2,3,5,8,6,7,4]=>1110000=>1
[1,2,3,7,5,6,4,8]=>1110001=>1
[1,2,3,7,5,6,8,4]=>1110000=>1
[1,2,3,8,5,6,7,4]=>1110000=>1
[1,2,3,8,5,7,6,4]=>1110000=>1
[1,2,3,8,6,5,7,4]=>1110000=>1
[1,2,3,8,6,7,5,4]=>1110000=>1
[1,2,4,3,8,6,7,5]=>1101000=>1
[1,2,4,5,8,6,7,3]=>1100000=>1
[1,2,4,7,5,6,8,3]=>1100000=>1
[1,2,4,8,6,5,7,3]=>1100000=>1
[1,2,5,4,8,6,7,3]=>1100000=>1
[1,2,6,4,5,3,7,8]=>1100011=>1
[1,2,6,4,5,7,8,3]=>1100000=>1
[1,2,7,4,5,6,8,3]=>1100000=>1
[1,2,8,4,5,6,7,3]=>1100000=>1
[1,2,8,4,7,6,5,3]=>1100000=>1
[1,2,7,5,4,6,3,8]=>1100001=>1
[1,2,7,5,4,6,8,3]=>1100000=>1
[1,2,8,5,4,6,7,3]=>1100000=>1
[1,2,8,5,4,7,6,3]=>1100000=>1
[1,2,8,6,5,4,7,3]=>1100000=>1
[1,2,8,6,5,7,4,3]=>1100000=>1
[1,2,8,7,5,6,4,3]=>1100000=>1
[1,3,2,4,8,6,7,5]=>1011000=>1
[1,3,2,7,5,6,8,4]=>1010000=>1
[1,3,2,8,5,7,6,4]=>1010000=>1
[1,3,2,8,6,5,7,4]=>1010000=>1
[1,3,2,8,6,7,5,4]=>1010000=>1
[1,3,4,2,8,6,7,5]=>1001000=>1
[1,3,6,4,5,2,8,7]=>1000010=>1
[1,3,6,4,5,7,2,8]=>1000001=>1
[1,3,6,4,5,7,8,2]=>1000000=>1
[1,3,6,4,5,8,7,2]=>1000000=>1
[1,3,7,4,5,6,8,2]=>1000000=>1
[1,3,8,4,5,6,7,2]=>1000000=>1
[1,3,8,4,6,7,5,2]=>1000000=>1
[1,3,8,5,4,6,7,2]=>1000000=>1
[1,3,8,5,4,7,6,2]=>1000000=>1
[1,3,8,5,6,7,4,2]=>1000000=>1
[1,3,8,5,7,6,4,2]=>1000000=>1
[1,3,8,6,5,7,4,2]=>1000000=>1
[1,3,8,7,5,6,4,2]=>1000000=>1
[1,4,3,2,8,6,7,5]=>1001000=>1
[1,4,3,5,8,6,7,2]=>1000000=>1
[1,4,3,8,5,6,7,2]=>1000000=>1
[1,4,3,8,5,7,6,2]=>1000000=>1
[1,4,3,8,6,5,7,2]=>1000000=>1
[1,4,3,8,6,7,5,2]=>1000000=>1
[1,5,3,4,2,6,7,8]=>1000111=>1
[1,5,3,4,2,7,8,6]=>1000100=>1
[1,5,3,4,2,8,7,6]=>1000100=>1
[1,5,3,4,6,2,8,7]=>1000010=>1
[1,5,3,4,6,7,2,8]=>1000001=>1
[1,5,3,4,6,7,8,2]=>1000000=>1
[1,5,3,4,8,6,7,2]=>1000000=>1
[1,6,3,4,5,2,7,8]=>1000011=>1
[1,6,3,4,5,8,7,2]=>1000000=>1
[1,7,3,4,5,6,2,8]=>1000001=>1
[1,7,3,4,5,6,8,2]=>1000000=>1
[1,8,3,4,5,6,7,2]=>1000000=>1
[1,8,3,4,6,7,5,2]=>1000000=>1
[1,8,3,4,7,6,5,2]=>1000000=>1
[1,6,3,5,4,2,7,8]=>1000011=>1
[1,6,3,5,4,8,7,2]=>1000000=>1
[1,7,3,5,4,6,2,8]=>1000001=>1
[1,8,3,5,4,6,7,2]=>1000000=>1
[1,8,3,5,6,4,7,2]=>1000000=>1
[1,8,3,5,7,6,4,2]=>1000000=>1
[1,7,3,6,5,4,2,8]=>1000001=>1
[1,8,3,6,5,4,7,2]=>1000000=>1
[1,8,3,7,5,6,4,2]=>1000000=>1
[1,8,3,7,6,5,4,2]=>1000000=>1
[1,6,4,3,5,2,7,8]=>1000011=>1
[1,6,4,3,5,8,7,2]=>1000000=>1
[1,8,4,3,5,6,7,2]=>1000000=>1
[1,8,4,3,5,7,6,2]=>1000000=>1
[1,8,4,3,6,5,7,2]=>1000000=>1
[1,8,4,3,6,7,5,2]=>1000000=>1
[1,6,4,5,3,2,8,7]=>1000010=>1
[1,6,4,5,3,8,7,2]=>1000000=>1
[1,8,4,5,3,6,7,2]=>1000000=>1
[1,7,4,5,6,3,8,2]=>1000000=>1
[1,8,4,5,6,7,3,2]=>1000000=>1
[1,7,4,6,5,3,2,8]=>1000001=>1
[1,8,4,6,5,3,7,2]=>1000000=>1
[1,8,4,6,5,7,3,2]=>1000000=>1
[1,8,4,7,6,5,3,2]=>1000000=>1
[1,7,5,4,3,6,2,8]=>1000001=>1
[1,7,5,4,3,6,8,2]=>1000000=>1
[1,8,5,4,3,6,7,2]=>1000000=>1
[1,8,5,4,6,3,7,2]=>1000000=>1
[1,8,5,4,6,7,3,2]=>1000000=>1
[1,8,5,4,7,6,3,2]=>1000000=>1
[1,7,6,4,5,3,2,8]=>1000001=>1
[1,8,6,4,5,3,7,2]=>1000000=>1
[1,8,6,4,5,7,3,2]=>1000000=>1
[1,8,7,4,5,6,3,2]=>1000000=>1
[1,8,7,4,6,5,3,2]=>1000000=>1
[1,8,6,5,4,3,7,2]=>1000000=>1
[1,8,6,5,4,7,3,2]=>1000000=>1
[1,8,7,5,4,6,3,2]=>1000000=>1
[1,8,7,5,6,4,3,2]=>1000000=>1
[2,1,3,4,8,6,7,5]=>0111000=>2
[2,1,3,8,5,7,6,4]=>0110000=>2
[2,1,3,8,6,5,7,4]=>0110000=>2
[2,1,3,8,6,7,5,4]=>0110000=>2
[2,1,4,5,8,6,7,3]=>0100000=>2
[2,1,4,8,6,5,7,3]=>0100000=>2
[2,1,6,4,5,3,8,7]=>0100010=>2
[2,1,6,4,5,8,7,3]=>0100000=>2
[2,1,8,4,5,7,6,3]=>0100000=>2
[2,1,8,4,6,7,5,3]=>0100000=>2
[2,1,8,4,7,6,5,3]=>0100000=>2
[2,1,8,5,4,6,7,3]=>0100000=>2
[2,1,8,5,4,7,6,3]=>0100000=>2
[2,1,7,5,6,4,8,3]=>0100000=>2
[2,1,8,5,6,7,4,3]=>0100000=>2
[2,1,8,5,7,6,4,3]=>0100000=>2
[2,1,8,6,5,4,7,3]=>0100000=>2
[2,1,8,6,5,7,4,3]=>0100000=>2
[2,1,8,7,5,6,4,3]=>0100000=>2
[2,3,1,8,5,6,7,4]=>0010000=>3
[2,3,1,8,6,7,5,4]=>0010000=>3
[2,3,4,5,8,6,7,1]=>0000000=>8
[2,3,4,8,5,6,7,1]=>0000000=>8
[2,3,4,8,6,5,7,1]=>0000000=>8
[2,3,4,8,6,7,5,1]=>0000000=>8
[2,3,6,4,5,7,8,1]=>0000000=>8
[2,3,7,4,5,6,8,1]=>0000000=>8
[2,3,8,4,5,6,7,1]=>0000000=>8
[2,3,7,4,6,5,8,1]=>0000000=>8
[2,3,7,5,4,6,8,1]=>0000000=>8
[2,3,8,5,4,6,7,1]=>0000000=>8
[2,3,7,5,6,4,1,8]=>0000001=>7
[2,3,7,5,6,4,8,1]=>0000000=>8
[2,3,8,5,6,4,7,1]=>0000000=>8
[2,3,8,6,5,4,7,1]=>0000000=>8
[2,4,3,5,8,6,7,1]=>0000000=>8
[2,5,3,4,1,6,7,8]=>0000111=>5
[2,5,3,4,1,8,7,6]=>0000100=>5
[2,5,3,4,6,7,1,8]=>0000001=>7
[2,5,3,4,6,7,8,1]=>0000000=>8
[2,5,3,4,8,6,7,1]=>0000000=>8
[2,5,3,4,8,7,6,1]=>0000000=>8
[2,6,3,4,5,7,8,1]=>0000000=>8
[2,8,3,4,5,6,7,1]=>0000000=>8
[2,6,3,5,4,1,8,7]=>0000010=>6
[2,6,3,5,4,7,8,1]=>0000000=>8
[2,7,3,5,4,6,8,1]=>0000000=>8
[2,7,3,5,6,4,8,1]=>0000000=>8
[2,8,3,5,7,6,4,1]=>0000000=>8
[2,7,3,6,5,4,1,8]=>0000001=>7
[2,8,3,7,6,5,4,1]=>0000000=>8
[2,5,4,3,8,6,7,1]=>0000000=>8
[2,6,4,3,5,7,8,1]=>0000000=>8
[2,7,4,3,5,6,8,1]=>0000000=>8
[2,8,4,3,5,6,7,1]=>0000000=>8
[2,8,4,3,5,7,6,1]=>0000000=>8
[2,8,4,3,6,7,5,1]=>0000000=>8
[2,8,4,3,7,6,5,1]=>0000000=>8
[2,6,4,5,3,1,7,8]=>0000011=>6
[2,6,4,5,3,7,8,1]=>0000000=>8
[2,8,4,5,3,6,7,1]=>0000000=>8
[2,7,4,6,5,3,1,8]=>0000001=>7
[2,7,5,4,3,6,8,1]=>0000000=>8
[2,8,5,4,3,6,7,1]=>0000000=>8
[2,7,5,4,6,3,8,1]=>0000000=>8
[2,8,5,4,6,7,3,1]=>0000000=>8
[2,8,5,4,7,6,3,1]=>0000000=>8
[2,8,7,4,6,5,3,1]=>0000000=>8
[2,8,7,5,4,6,3,1]=>0000000=>8
[2,8,7,5,6,4,3,1]=>0000000=>8
[3,2,1,4,8,6,7,5]=>0011000=>3
[3,2,1,5,8,6,7,4]=>0010000=>3
[3,2,1,7,5,6,4,8]=>0010001=>3
[3,2,1,7,5,6,8,4]=>0010000=>3
[3,2,1,8,5,6,7,4]=>0010000=>3
[3,2,1,8,5,7,6,4]=>0010000=>3
[3,2,1,8,6,5,7,4]=>0010000=>3
[3,2,1,8,6,7,5,4]=>0010000=>3
[3,2,4,1,8,6,7,5]=>0001000=>4
[3,2,4,5,8,6,7,1]=>0000000=>8
[3,2,4,8,6,7,5,1]=>0000000=>8
[3,2,5,4,8,6,7,1]=>0000000=>8
[3,2,7,4,5,6,1,8]=>0000001=>7
[3,2,8,4,5,6,7,1]=>0000000=>8
[3,2,7,4,6,5,1,8]=>0000001=>7
[3,2,7,4,6,5,8,1]=>0000000=>8
[3,2,7,5,4,6,1,8]=>0000001=>7
[3,2,8,5,4,6,7,1]=>0000000=>8
[3,2,8,5,4,7,6,1]=>0000000=>8
[3,2,7,5,6,4,1,8]=>0000001=>7
[3,2,7,5,6,4,8,1]=>0000000=>8
[3,2,8,5,7,6,4,1]=>0000000=>8
[4,2,3,1,5,7,6,8]=>0001101=>4
[4,2,3,1,5,8,7,6]=>0001100=>4
[4,2,3,1,6,5,7,8]=>0001011=>4
[4,2,3,1,7,6,5,8]=>0001001=>4
[4,2,3,1,8,6,7,5]=>0001000=>4
[4,2,3,1,8,7,6,5]=>0001000=>4
[4,2,3,5,1,6,8,7]=>0000110=>5
[4,2,3,5,1,7,8,6]=>0000100=>5
[4,2,3,5,1,8,7,6]=>0000100=>5
[4,2,3,5,6,1,8,7]=>0000010=>6
[4,2,3,5,6,8,7,1]=>0000000=>8
[4,2,3,6,5,8,7,1]=>0000000=>8
[4,2,3,7,5,6,1,8]=>0000001=>7
[4,2,3,7,5,6,8,1]=>0000000=>8
[4,2,3,8,5,6,7,1]=>0000000=>8
[4,2,3,7,6,5,8,1]=>0000000=>8
[4,2,3,8,7,6,5,1]=>0000000=>8
[5,2,3,4,1,7,8,6]=>0000100=>5
[5,2,3,4,1,8,7,6]=>0000100=>5
[5,2,3,4,6,1,8,7]=>0000010=>6
[5,2,3,4,7,6,1,8]=>0000001=>7
[5,2,3,4,8,7,6,1]=>0000000=>8
[7,2,3,4,6,5,1,8]=>0000001=>7
[6,2,3,5,4,1,7,8]=>0000011=>6
[6,2,3,5,4,1,8,7]=>0000010=>6
[6,2,3,5,4,7,1,8]=>0000001=>7
[7,2,3,5,4,6,1,8]=>0000001=>7
[8,2,3,5,4,6,7,1]=>0000000=>8
[7,2,3,5,6,4,1,8]=>0000001=>7
[7,2,3,6,5,4,1,8]=>0000001=>7
[8,2,3,6,5,4,7,1]=>0000000=>8
[8,2,3,7,5,6,4,1]=>0000000=>8
[5,2,4,3,1,6,7,8]=>0000111=>5
[5,2,4,3,1,6,8,7]=>0000110=>5
[5,2,4,3,1,7,6,8]=>0000101=>5
[5,2,4,3,1,8,7,6]=>0000100=>5
[5,2,4,3,6,1,7,8]=>0000011=>6
[5,2,4,3,6,1,8,7]=>0000010=>6
[5,2,4,3,6,7,1,8]=>0000001=>7
[5,2,4,3,7,6,1,8]=>0000001=>7
[5,2,4,3,7,6,8,1]=>0000000=>8
[7,2,4,3,6,5,1,8]=>0000001=>7
[7,2,4,3,6,5,8,1]=>0000000=>8
[8,2,4,3,6,5,7,1]=>0000000=>8
[8,2,4,3,6,7,5,1]=>0000000=>8
[6,2,4,5,3,1,7,8]=>0000011=>6
[7,2,4,5,3,6,1,8]=>0000001=>7
[7,2,4,5,3,6,8,1]=>0000000=>8
[8,2,4,5,3,7,6,1]=>0000000=>8
[7,2,4,6,5,3,1,8]=>0000001=>7
[8,2,4,7,6,5,3,1]=>0000000=>8
[6,2,5,4,3,1,7,8]=>0000011=>6
[6,2,5,4,3,1,8,7]=>0000010=>6
[7,2,5,4,3,6,1,8]=>0000001=>7
[8,2,5,4,3,6,7,1]=>0000000=>8
[8,2,5,4,3,7,6,1]=>0000000=>8
[7,2,6,4,5,3,1,8]=>0000001=>7
[8,2,6,4,5,3,7,1]=>0000000=>8
[8,2,6,4,5,7,3,1]=>0000000=>8
[8,2,7,4,5,6,3,1]=>0000000=>8
[8,2,7,4,6,5,3,1]=>0000000=>8
[8,2,6,5,4,3,7,1]=>0000000=>8
[8,2,6,5,4,7,3,1]=>0000000=>8
[8,2,7,5,4,6,3,1]=>0000000=>8
[8,2,7,5,6,4,3,1]=>0000000=>8
[8,2,7,6,5,4,3,1]=>0000000=>8
[4,3,2,1,8,6,7,5]=>0001000=>4
[4,3,2,7,5,6,8,1]=>0000000=>8
[4,3,2,8,5,6,7,1]=>0000000=>8
[4,3,2,8,5,7,6,1]=>0000000=>8
[4,3,2,8,6,7,5,1]=>0000000=>8
[5,3,2,4,1,6,8,7]=>0000110=>5
[5,3,2,4,1,7,6,8]=>0000101=>5
[5,3,2,4,1,8,7,6]=>0000100=>5
[5,3,2,4,6,1,8,7]=>0000010=>6
[5,3,2,4,7,6,1,8]=>0000001=>7
[8,3,2,4,6,7,5,1]=>0000000=>8
[6,3,2,5,4,1,7,8]=>0000011=>6
[6,3,2,5,4,1,8,7]=>0000010=>6
[6,3,2,5,4,7,1,8]=>0000001=>7
[6,3,2,5,4,7,8,1]=>0000000=>8
[7,3,2,5,4,6,1,8]=>0000001=>7
[8,3,2,5,4,7,6,1]=>0000000=>8
[8,3,2,5,6,4,7,1]=>0000000=>8
[8,3,2,6,5,7,4,1]=>0000000=>8
[8,3,2,7,5,6,4,1]=>0000000=>8
[8,3,2,7,6,5,4,1]=>0000000=>8
[5,3,4,2,1,6,8,7]=>0000110=>5
[5,3,4,2,1,7,8,6]=>0000100=>5
[5,3,4,2,1,8,7,6]=>0000100=>5
[5,3,4,2,7,6,1,8]=>0000001=>7
[7,3,4,2,6,5,1,8]=>0000001=>7
[7,3,4,2,6,5,8,1]=>0000000=>8
[8,3,4,2,6,5,7,1]=>0000000=>8
[6,3,4,5,2,1,8,7]=>0000010=>6
[6,3,4,5,2,8,7,1]=>0000000=>8
[8,3,4,5,7,6,2,1]=>0000000=>8
[7,3,4,6,5,2,1,8]=>0000001=>7
[6,3,5,4,2,1,8,7]=>0000010=>6
[6,3,5,4,2,7,1,8]=>0000001=>7
[7,3,5,4,2,6,1,8]=>0000001=>7
[7,3,5,4,6,2,1,8]=>0000001=>7
[8,3,5,4,6,7,2,1]=>0000000=>8
[8,3,5,4,7,6,2,1]=>0000000=>8
[7,3,6,4,5,2,1,8]=>0000001=>7
[8,3,7,4,6,5,2,1]=>0000000=>8
[7,3,6,5,4,2,1,8]=>0000001=>7
[7,3,6,5,4,2,8,1]=>0000000=>8
[8,3,6,5,4,2,7,1]=>0000000=>8
[8,3,6,5,4,7,2,1]=>0000000=>8
[8,3,7,5,4,6,2,1]=>0000000=>8
[8,3,7,6,5,4,2,1]=>0000000=>8
[5,4,3,2,8,6,7,1]=>0000000=>8
[6,4,3,2,5,1,8,7]=>0000010=>6
[7,4,3,2,6,5,8,1]=>0000000=>8
[6,4,3,5,2,1,8,7]=>0000010=>6
[7,4,3,6,5,2,1,8]=>0000001=>7
[7,4,3,6,5,2,8,1]=>0000000=>8
[8,4,3,7,5,6,2,1]=>0000000=>8
[6,5,3,4,2,1,8,7]=>0000010=>6
[8,5,3,4,2,7,6,1]=>0000000=>8
[8,5,3,4,7,6,2,1]=>0000000=>8
[8,7,3,4,6,5,2,1]=>0000000=>8
[7,6,3,5,4,2,1,8]=>0000001=>7
[7,6,3,5,4,2,8,1]=>0000000=>8
[8,7,3,5,4,6,2,1]=>0000000=>8
[8,7,3,5,6,4,2,1]=>0000000=>8
[8,7,3,6,5,4,2,1]=>0000000=>8
[8,5,4,3,2,7,6,1]=>0000000=>8
[8,7,4,3,6,5,2,1]=>0000000=>8
[8,7,4,6,5,3,2,1]=>0000000=>8
[2,4,1,3,6,5,8,7]=>0001010=>4
[2,4,1,6,3,5,8,7]=>0000010=>6
[2,4,6,1,3,5,8,7]=>0000010=>6
[2,4,1,3,6,8,5,7]=>0001000=>4
[2,1,4,6,3,8,5,7]=>0100000=>2
[2,4,1,6,3,8,5,7]=>0000000=>8
[2,4,6,1,3,8,5,7]=>0000000=>8
[2,4,1,6,8,3,5,7]=>0000000=>8
[2,4,6,1,8,3,5,7]=>0000000=>8
[2,4,6,8,1,3,5,7]=>0000000=>8
[2,4,1,3,6,5,7,8]=>0001011=>4
[2,1,4,6,3,5,7,8]=>0100011=>2
[2,4,1,6,3,5,7,8]=>0000011=>6
[2,4,6,1,3,5,7,8]=>0000011=>6
[2,1,4,6,3,7,5,8]=>0100001=>2
[2,4,1,6,3,7,5,8]=>0000001=>7
[2,4,6,1,3,7,5,8]=>0000001=>7
[2,1,4,6,3,7,8,5]=>0100000=>2
[2,4,1,6,3,7,8,5]=>0000000=>8
[2,1,4,6,7,3,8,5]=>0100000=>2
[2,4,1,6,7,3,8,5]=>0000000=>8
[2,4,6,1,7,3,8,5]=>0000000=>8
[2,4,6,7,1,3,8,5]=>0000000=>8
[2,4,1,6,7,8,3,5]=>0000000=>8
[2,4,6,7,8,1,3,5]=>0000000=>8
[2,1,4,3,7,5,8,6]=>0101000=>2
[2,4,1,3,7,5,8,6]=>0001000=>4
[2,1,4,7,3,5,8,6]=>0100000=>2
[2,4,1,7,3,5,8,6]=>0000000=>8
[2,4,7,1,3,5,8,6]=>0000000=>8
[2,1,4,3,7,8,5,6]=>0101000=>2
[2,4,1,3,7,8,5,6]=>0001000=>4
[2,4,1,7,3,8,5,6]=>0000000=>8
[2,4,1,7,8,3,5,6]=>0000000=>8
[2,4,7,8,1,3,5,6]=>0000000=>8
[2,4,1,5,3,7,6,8]=>0000101=>5
[2,4,5,1,3,7,6,8]=>0000101=>5
[2,4,1,3,5,7,8,6]=>0001100=>4
[2,4,1,5,3,7,8,6]=>0000100=>5
[2,4,5,1,3,7,8,6]=>0000100=>5
[2,1,4,5,7,3,8,6]=>0100000=>2
[2,4,1,5,7,3,8,6]=>0000000=>8
[2,4,5,1,7,3,8,6]=>0000000=>8
[2,4,5,1,7,8,3,6]=>0000000=>8
[2,4,5,7,8,1,3,6]=>0000000=>8
[2,1,4,3,8,5,6,7]=>0101000=>2
[2,4,1,3,8,5,6,7]=>0001000=>4
[2,1,4,8,3,5,6,7]=>0100000=>2
[2,4,1,8,3,5,6,7]=>0000000=>8
[2,1,4,3,5,8,6,7]=>0101100=>2
[2,4,1,5,3,8,6,7]=>0000100=>5
[2,1,4,5,8,3,6,7]=>0100000=>2
[2,4,5,1,8,3,6,7]=>0000000=>8
[2,4,1,5,3,6,8,7]=>0000110=>5
[2,4,1,5,6,3,8,7]=>0000010=>6
[2,4,5,1,6,3,8,7]=>0000010=>6
[2,1,4,5,6,8,3,7]=>0100000=>2
[2,4,1,5,6,8,3,7]=>0000000=>8
[2,4,5,6,8,1,3,7]=>0000000=>8
[2,4,1,3,5,6,7,8]=>0001111=>4
[2,4,1,5,3,6,7,8]=>0000111=>5
[2,4,5,1,3,6,7,8]=>0000111=>5
[2,4,1,5,6,3,7,8]=>0000011=>6
[2,4,5,6,1,3,7,8]=>0000011=>6
[2,4,1,5,6,7,3,8]=>0000001=>7
[2,4,5,6,1,7,3,8]=>0000001=>7
[2,4,5,6,7,1,3,8]=>0000001=>7
[2,4,5,6,1,7,8,3]=>0000000=>8
[2,4,5,6,7,1,8,3]=>0000000=>8
[2,4,5,6,7,8,1,3]=>0000000=>8
[2,1,5,3,6,4,8,7]=>0100010=>2
[2,5,1,3,6,4,8,7]=>0000010=>6
[2,1,5,6,3,4,8,7]=>0100010=>2
[2,5,1,6,3,4,8,7]=>0000010=>6
[2,1,5,3,6,8,4,7]=>0100000=>2
[2,5,1,3,6,8,4,7]=>0000000=>8
[2,5,6,1,3,8,4,7]=>0000000=>8
[2,5,6,8,1,3,4,7]=>0000000=>8
[2,5,1,3,6,4,7,8]=>0000011=>6
[2,1,5,6,3,4,7,8]=>0100011=>2
[2,5,1,6,3,4,7,8]=>0000011=>6
[2,1,5,3,6,7,4,8]=>0100001=>2
[2,1,5,6,3,7,4,8]=>0100001=>2
[2,5,1,6,3,7,4,8]=>0000001=>7
[2,5,6,1,3,7,4,8]=>0000001=>7
[2,1,5,6,7,3,4,8]=>0100001=>2
[2,5,6,1,7,3,4,8]=>0000001=>7
[2,5,1,3,6,7,8,4]=>0000000=>8
[2,1,5,6,3,7,8,4]=>0100000=>2
[2,5,1,6,3,7,8,4]=>0000000=>8
[2,5,6,1,3,7,8,4]=>0000000=>8
[2,1,5,6,7,3,8,4]=>0100000=>2
[2,5,1,6,7,3,8,4]=>0000000=>8
[2,5,6,7,1,3,8,4]=>0000000=>8
[2,1,5,6,7,8,3,4]=>0100000=>2
[2,5,1,6,7,8,3,4]=>0000000=>8
[2,5,6,1,7,8,3,4]=>0000000=>8
[2,5,6,7,1,8,3,4]=>0000000=>8
[2,5,6,7,8,1,3,4]=>0000000=>8
[2,1,5,3,7,4,8,6]=>0100000=>2
[2,5,1,3,7,4,8,6]=>0000000=>8
[2,1,5,7,3,4,8,6]=>0100000=>2
[2,5,1,7,3,4,8,6]=>0000000=>8
[2,5,7,1,3,4,8,6]=>0000000=>8
[2,1,5,3,7,8,4,6]=>0100000=>2
[2,5,1,3,7,8,4,6]=>0000000=>8
[2,1,5,7,3,8,4,6]=>0100000=>2
[2,1,5,7,8,3,4,6]=>0100000=>2
[2,5,1,7,8,3,4,6]=>0000000=>8
[2,5,7,1,8,3,4,6]=>0000000=>8
[2,5,7,8,1,3,4,6]=>0000000=>8
[2,5,1,3,7,4,6,8]=>0000001=>7
[2,1,5,7,3,4,6,8]=>0100001=>2
[2,3,5,1,4,7,6,8]=>0000101=>5
[2,3,5,7,1,4,6,8]=>0000001=>7
[2,3,5,7,1,4,8,6]=>0000000=>8
[2,3,1,5,7,8,4,6]=>0010000=>3
[2,1,5,3,8,4,6,7]=>0100000=>2
[2,5,1,8,3,4,6,7]=>0000000=>8
[2,5,8,1,3,4,6,7]=>0000000=>8
[2,3,5,1,4,8,6,7]=>0000100=>5
[2,1,3,5,8,4,6,7]=>0110000=>2
[2,3,5,8,1,4,6,7]=>0000000=>8
[2,1,3,5,6,8,4,7]=>0110000=>2
[2,3,1,5,6,8,4,7]=>0010000=>3
[2,3,5,6,1,8,4,7]=>0000000=>8
[2,3,5,6,8,1,4,7]=>0000000=>8
[2,5,1,3,4,6,7,8]=>0000111=>5
[2,3,5,1,4,6,7,8]=>0000111=>5
[2,3,5,1,6,4,7,8]=>0000011=>6
[2,3,5,6,1,4,7,8]=>0000011=>6
[2,3,5,6,1,7,8,4]=>0000000=>8
[2,3,5,6,7,8,1,4]=>0000000=>8
[2,1,6,3,7,4,8,5]=>0100000=>2
[2,6,1,3,7,4,8,5]=>0000000=>8
[2,6,1,7,3,4,8,5]=>0000000=>8
[2,6,7,1,3,4,8,5]=>0000000=>8
[2,1,6,3,7,8,4,5]=>0100000=>2
[2,6,1,7,3,8,4,5]=>0000000=>8
[2,6,7,1,3,8,4,5]=>0000000=>8
[2,1,6,7,8,3,4,5]=>0100000=>2
[2,6,1,7,8,3,4,5]=>0000000=>8
[2,6,7,8,1,3,4,5]=>0000000=>8
[2,1,6,3,7,4,5,8]=>0100001=>2
[2,6,1,7,3,4,5,8]=>0000001=>7
[2,6,7,1,3,4,5,8]=>0000001=>7
[2,6,1,3,4,7,5,8]=>0000001=>7
[2,3,1,6,4,7,5,8]=>0010001=>3
[2,3,6,1,4,7,5,8]=>0000001=>7
[2,1,6,3,4,7,8,5]=>0100000=>2
[2,6,1,3,4,7,8,5]=>0000000=>8
[2,3,6,1,4,7,8,5]=>0000000=>8
[2,1,3,6,7,4,8,5]=>0110000=>2
[2,1,3,6,7,8,4,5]=>0110000=>2
[2,3,1,6,7,8,4,5]=>0010000=>3
[2,3,6,1,7,8,4,5]=>0000000=>8
[2,3,6,7,1,8,4,5]=>0000000=>8
[2,3,6,7,8,1,4,5]=>0000000=>8
[2,1,6,3,8,4,5,7]=>0100000=>2
[2,1,6,8,3,4,5,7]=>0100000=>2
[2,6,1,8,3,4,5,7]=>0000000=>8
[2,6,8,1,3,4,5,7]=>0000000=>8
[2,1,6,3,4,8,5,7]=>0100000=>2
[2,3,1,6,4,8,5,7]=>0010000=>3
[2,3,6,1,8,4,5,7]=>0000000=>8
[2,1,6,3,4,5,8,7]=>0100010=>2
[2,1,3,6,4,5,8,7]=>0110010=>2
[2,3,6,1,4,5,8,7]=>0000010=>6
[2,3,4,1,6,8,5,7]=>0001000=>4
[2,3,4,6,8,1,5,7]=>0000000=>8
[2,6,1,3,4,5,7,8]=>0000011=>6
[2,1,3,6,4,5,7,8]=>0110011=>2
[2,3,1,6,4,5,7,8]=>0010011=>3
[2,3,6,1,4,5,7,8]=>0000011=>6
[2,3,4,6,1,5,7,8]=>0000011=>6
[2,3,4,6,1,7,5,8]=>0000001=>7
[2,3,4,6,7,1,5,8]=>0000001=>7
[2,3,4,6,7,8,1,5]=>0000000=>8
[2,1,7,8,3,4,5,6]=>0100000=>2
[2,7,1,8,3,4,5,6]=>0000000=>8
[2,7,8,1,3,4,5,6]=>0000000=>8
[2,1,7,3,4,8,5,6]=>0100000=>2
[2,1,3,7,4,8,5,6]=>0110000=>2
[2,3,1,7,4,8,5,6]=>0010000=>3
[2,3,7,1,4,8,5,6]=>0000000=>8
[2,1,3,7,8,4,5,6]=>0110000=>2
[2,3,7,8,1,4,5,6]=>0000000=>8
[2,7,1,3,4,5,8,6]=>0000000=>8
[2,3,7,1,4,5,8,6]=>0000000=>8
[2,1,3,4,7,5,8,6]=>0111000=>2
[2,3,4,1,7,5,8,6]=>0001000=>4
[2,1,3,4,7,8,5,6]=>0111000=>2
[2,3,1,4,7,8,5,6]=>0011000=>3
[2,3,4,1,7,8,5,6]=>0001000=>4
[2,3,4,7,1,8,5,6]=>0000000=>8
[2,1,7,3,4,5,6,8]=>0100001=>2
[2,7,1,3,4,5,6,8]=>0000001=>7
[2,1,3,4,7,5,6,8]=>0111001=>2
[2,3,1,4,7,5,6,8]=>0011001=>3
[2,3,4,1,7,5,6,8]=>0001001=>4
[2,3,4,7,1,5,6,8]=>0000001=>7
[2,3,4,5,7,1,6,8]=>0000001=>7
[2,3,4,5,7,1,8,6]=>0000000=>8
[2,3,4,5,7,8,1,6]=>0000000=>8
[2,1,8,3,4,5,6,7]=>0100000=>2
[2,8,1,3,4,5,6,7]=>0000000=>8
[2,1,3,8,4,5,6,7]=>0110000=>2
[2,3,1,8,4,5,6,7]=>0010000=>3
[2,3,8,1,4,5,6,7]=>0000000=>8
[2,1,3,4,8,5,6,7]=>0111000=>2
[2,3,4,1,8,5,6,7]=>0001000=>4
[2,3,4,8,1,5,6,7]=>0000000=>8
[2,1,3,4,5,8,6,7]=>0111100=>2
[2,3,1,4,5,8,6,7]=>0011100=>3
[2,3,4,1,5,8,6,7]=>0001100=>4
[2,3,4,5,1,8,6,7]=>0000100=>5
[2,3,4,5,8,1,6,7]=>0000000=>8
[2,3,4,5,6,8,1,7]=>0000000=>8
[3,1,4,2,6,5,8,7]=>0001010=>4
[3,4,1,2,6,5,8,7]=>0001010=>4
[3,1,4,6,2,5,8,7]=>0000010=>6
[3,4,1,6,2,5,8,7]=>0000010=>6
[3,4,6,1,2,5,8,7]=>0000010=>6
[3,1,4,2,6,8,5,7]=>0001000=>4
[3,4,1,6,2,8,5,7]=>0000000=>8
[3,1,4,6,8,2,5,7]=>0000000=>8
[3,4,6,8,1,2,5,7]=>0000000=>8
[3,1,4,2,6,5,7,8]=>0001011=>4
[3,4,1,2,6,5,7,8]=>0001011=>4
[3,1,4,2,6,7,5,8]=>0001001=>4
[3,4,1,2,6,7,5,8]=>0001001=>4
[3,4,1,6,2,7,5,8]=>0000001=>7
[3,4,1,6,7,2,5,8]=>0000001=>7
[3,4,6,7,1,2,5,8]=>0000001=>7
[3,1,4,2,6,7,8,5]=>0001000=>4
[3,4,1,2,6,7,8,5]=>0001000=>4
[3,4,1,6,2,7,8,5]=>0000000=>8
[3,4,6,1,2,7,8,5]=>0000000=>8
[3,4,1,6,7,2,8,5]=>0000000=>8
[3,4,6,1,7,2,8,5]=>0000000=>8
[3,4,6,7,1,2,8,5]=>0000000=>8
[3,1,4,6,7,8,2,5]=>0000000=>8
[3,4,1,6,7,8,2,5]=>0000000=>8
[3,4,6,1,7,8,2,5]=>0000000=>8
[3,4,6,7,1,8,2,5]=>0000000=>8
[3,4,6,7,8,1,2,5]=>0000000=>8
[3,1,4,2,7,5,8,6]=>0001000=>4
[3,4,1,2,7,5,8,6]=>0001000=>4
[3,4,7,1,2,5,8,6]=>0000000=>8
[3,1,4,2,7,8,5,6]=>0001000=>4
[3,4,1,2,7,8,5,6]=>0001000=>4
[3,4,7,1,8,2,5,6]=>0000000=>8
[3,4,7,8,1,2,5,6]=>0000000=>8
[3,1,4,2,7,5,6,8]=>0001001=>4
[3,4,1,5,2,7,6,8]=>0000101=>5
[3,4,1,5,7,2,6,8]=>0000001=>7
[3,4,5,7,1,2,6,8]=>0000001=>7
[3,1,4,2,5,7,8,6]=>0001100=>4
[3,4,1,2,5,7,8,6]=>0001100=>4
[3,1,4,5,2,7,8,6]=>0000100=>5
[3,4,5,1,2,7,8,6]=>0000100=>5
[3,4,5,7,1,2,8,6]=>0000000=>8
[3,1,4,5,7,8,2,6]=>0000000=>8
[3,4,1,5,7,8,2,6]=>0000000=>8
[3,4,5,1,7,8,2,6]=>0000000=>8
[3,4,5,7,8,1,2,6]=>0000000=>8
[3,1,4,2,8,5,6,7]=>0001000=>4
[3,1,4,8,2,5,6,7]=>0000000=>8
[3,4,1,8,2,5,6,7]=>0000000=>8
[3,1,4,2,5,8,6,7]=>0001100=>4
[3,4,1,5,2,8,6,7]=>0000100=>5
[3,4,1,5,8,2,6,7]=>0000000=>8
[3,4,5,8,1,2,6,7]=>0000000=>8
[3,4,1,2,5,6,8,7]=>0001110=>4
[3,4,5,1,2,6,8,7]=>0000110=>5
[3,4,5,1,6,2,8,7]=>0000010=>6
[3,4,5,6,1,2,8,7]=>0000010=>6
[3,1,4,5,6,8,2,7]=>0000000=>8
[3,4,1,5,6,8,2,7]=>0000000=>8
[3,4,5,6,1,8,2,7]=>0000000=>8
[3,4,5,6,8,1,2,7]=>0000000=>8
[3,1,4,2,5,6,7,8]=>0001111=>4
[3,1,4,5,2,6,7,8]=>0000111=>5
[3,4,1,5,2,6,7,8]=>0000111=>5
[3,4,1,5,6,2,7,8]=>0000011=>6
[3,4,5,1,6,2,7,8]=>0000011=>6
[3,1,4,5,6,7,2,8]=>0000001=>7
[3,4,1,5,6,7,2,8]=>0000001=>7
[3,4,5,6,1,7,2,8]=>0000001=>7
[3,1,4,5,6,7,8,2]=>0000000=>8
[3,4,1,5,6,7,8,2]=>0000000=>8
[3,4,5,1,6,7,8,2]=>0000000=>8
[3,4,5,6,1,7,8,2]=>0000000=>8
[3,4,5,6,7,1,8,2]=>0000000=>8
[3,1,5,2,6,4,8,7]=>0000010=>6
[3,5,1,2,6,4,8,7]=>0000010=>6
[3,1,5,6,2,4,8,7]=>0000010=>6
[3,5,1,6,2,4,8,7]=>0000010=>6
[3,5,1,2,6,8,4,7]=>0000000=>8
[3,1,5,6,2,8,4,7]=>0000000=>8
[3,5,6,1,2,8,4,7]=>0000000=>8
[3,1,5,6,8,2,4,7]=>0000000=>8
[3,5,1,6,8,2,4,7]=>0000000=>8
[3,5,6,1,8,2,4,7]=>0000000=>8
[3,5,6,8,1,2,4,7]=>0000000=>8
[3,1,5,6,2,4,7,8]=>0000011=>6
[3,5,1,6,2,4,7,8]=>0000011=>6
[3,5,1,2,6,7,4,8]=>0000001=>7
[3,5,1,6,2,7,4,8]=>0000001=>7
[3,5,6,1,2,7,4,8]=>0000001=>7
[3,5,1,6,7,2,4,8]=>0000001=>7
[3,1,5,2,6,7,8,4]=>0000000=>8
[3,5,1,2,6,7,8,4]=>0000000=>8
[3,1,5,6,2,7,8,4]=>0000000=>8
[3,5,1,6,2,7,8,4]=>0000000=>8
[3,5,6,1,2,7,8,4]=>0000000=>8
[3,1,5,6,7,2,8,4]=>0000000=>8
[3,5,1,6,7,2,8,4]=>0000000=>8
[3,5,6,1,7,2,8,4]=>0000000=>8
[3,5,6,7,1,2,8,4]=>0000000=>8
[3,1,5,6,7,8,2,4]=>0000000=>8
[3,5,1,6,7,8,2,4]=>0000000=>8
[3,5,6,1,7,8,2,4]=>0000000=>8
[3,5,6,7,1,8,2,4]=>0000000=>8
[3,5,6,7,8,1,2,4]=>0000000=>8
[3,1,5,2,7,4,8,6]=>0000000=>8
[3,5,1,2,7,4,8,6]=>0000000=>8
[3,1,5,7,2,4,8,6]=>0000000=>8
[3,5,1,7,2,4,8,6]=>0000000=>8
[3,5,7,1,2,4,8,6]=>0000000=>8
[3,1,5,2,7,8,4,6]=>0000000=>8
[3,5,1,2,7,8,4,6]=>0000000=>8
[3,1,5,7,2,8,4,6]=>0000000=>8
[3,5,1,7,2,8,4,6]=>0000000=>8
[3,1,5,7,8,2,4,6]=>0000000=>8
[3,5,1,7,8,2,4,6]=>0000000=>8
[3,5,7,8,1,2,4,6]=>0000000=>8
[3,1,5,2,7,4,6,8]=>0000001=>7
[3,5,1,2,7,4,6,8]=>0000001=>7
[3,1,5,7,2,4,6,8]=>0000001=>7
[3,5,1,7,2,4,6,8]=>0000001=>7
[3,5,7,1,2,4,6,8]=>0000001=>7
[3,1,5,2,4,7,6,8]=>0000101=>5
[3,5,1,2,4,7,6,8]=>0000101=>5
[3,1,2,5,4,7,6,8]=>0010101=>3
[1,3,5,2,4,7,6,8]=>1000101=>1
[3,1,2,5,7,4,6,8]=>0010001=>3
[1,3,2,5,7,4,6,8]=>1010001=>1
[1,3,5,2,7,4,6,8]=>1000001=>1
[1,3,5,7,2,4,6,8]=>1000001=>1
[3,5,1,2,4,7,8,6]=>0000100=>5
[3,1,2,5,7,4,8,6]=>0010000=>3
[1,3,5,2,7,4,8,6]=>1000000=>1
[1,3,5,7,2,4,8,6]=>1000000=>1
[1,3,2,5,7,8,4,6]=>1010000=>1
[1,3,5,2,7,8,4,6]=>1000000=>1
[1,3,5,7,2,8,4,6]=>1000000=>1
[1,3,5,7,8,2,4,6]=>1000000=>1
[3,1,5,2,8,4,6,7]=>0000000=>8
[3,5,1,2,8,4,6,7]=>0000000=>8
[3,1,5,8,2,4,6,7]=>0000000=>8
[3,5,1,8,2,4,6,7]=>0000000=>8
[3,1,5,2,4,8,6,7]=>0000100=>5
[3,5,1,2,4,8,6,7]=>0000100=>5
[1,3,2,5,4,8,6,7]=>1010100=>1
[1,3,5,2,4,8,6,7]=>1000100=>1
[3,1,2,5,8,4,6,7]=>0010000=>3
[1,3,2,5,8,4,6,7]=>1010000=>1
[1,3,5,2,8,4,6,7]=>1000000=>1
[1,3,5,8,2,4,6,7]=>1000000=>1
[3,5,1,2,4,6,8,7]=>0000110=>5
[3,1,2,5,4,6,8,7]=>0010110=>3
[1,3,5,2,4,6,8,7]=>1000110=>1
[1,3,5,2,6,4,8,7]=>1000010=>1
[1,3,5,6,2,4,8,7]=>1000010=>1
[3,1,2,5,6,8,4,7]=>0010000=>3
[1,3,5,2,6,8,4,7]=>1000000=>1
[1,3,5,6,2,8,4,7]=>1000000=>1
[1,3,5,6,8,2,4,7]=>1000000=>1
[3,5,1,2,4,6,7,8]=>0000111=>5
[1,3,5,2,4,6,7,8]=>1000111=>1
[1,3,5,6,2,4,7,8]=>1000011=>1
[3,1,2,5,6,7,4,8]=>0010001=>3
[1,3,5,2,6,7,4,8]=>1000001=>1
[1,3,5,6,2,7,4,8]=>1000001=>1
[1,3,5,6,7,2,4,8]=>1000001=>1
[3,1,2,5,6,7,8,4]=>0010000=>3
[1,3,5,6,7,8,2,4]=>1000000=>1
[3,1,6,2,7,4,8,5]=>0000000=>8
[3,6,1,2,7,4,8,5]=>0000000=>8
[3,6,1,7,2,4,8,5]=>0000000=>8
[3,6,7,1,2,4,8,5]=>0000000=>8
[3,1,6,7,2,8,4,5]=>0000000=>8
[3,6,1,7,2,8,4,5]=>0000000=>8
[3,6,7,1,2,8,4,5]=>0000000=>8
[3,6,1,7,8,2,4,5]=>0000000=>8
[3,6,7,8,1,2,4,5]=>0000000=>8
[3,1,6,2,7,4,5,8]=>0000001=>7
[3,1,6,7,2,4,5,8]=>0000001=>7
[3,6,7,1,2,4,5,8]=>0000001=>7
[3,1,6,2,4,7,5,8]=>0000001=>7
[3,6,1,2,4,7,5,8]=>0000001=>7
[3,1,2,6,4,7,5,8]=>0010001=>3
[1,3,2,6,4,7,5,8]=>1010001=>1
[1,3,6,2,4,7,5,8]=>1000001=>1
[1,3,6,2,7,4,5,8]=>1000001=>1
[3,1,6,2,4,7,8,5]=>0000000=>8
[3,6,1,2,4,7,8,5]=>0000000=>8
[3,1,2,6,4,7,8,5]=>0010000=>3
[1,3,6,2,4,7,8,5]=>1000000=>1
[3,1,2,6,7,4,8,5]=>0010000=>3
[1,3,6,2,7,4,8,5]=>1000000=>1
[1,3,6,7,2,4,8,5]=>1000000=>1
[3,1,2,6,7,8,4,5]=>0010000=>3
[1,3,2,6,7,8,4,5]=>1010000=>1
[1,3,6,2,7,8,4,5]=>1000000=>1
[1,3,6,7,8,2,4,5]=>1000000=>1
[3,1,6,2,8,4,5,7]=>0000000=>8
[3,1,6,8,2,4,5,7]=>0000000=>8
[3,6,1,8,2,4,5,7]=>0000000=>8
[3,1,6,2,4,8,5,7]=>0000000=>8
[3,6,1,2,4,8,5,7]=>0000000=>8
[1,3,2,6,4,8,5,7]=>1010000=>1
[1,3,6,2,4,8,5,7]=>1000000=>1
[3,1,6,2,4,5,8,7]=>0000010=>6
[3,1,2,6,4,5,8,7]=>0010010=>3
[1,3,6,2,4,5,8,7]=>1000010=>1
[3,1,2,4,6,5,8,7]=>0011010=>3
[1,3,4,6,2,5,8,7]=>1000010=>1
[3,1,2,4,6,8,5,7]=>0011000=>3
[1,3,2,4,6,8,5,7]=>1011000=>1
[1,3,4,6,8,2,5,7]=>1000000=>1
[3,1,6,2,4,5,7,8]=>0000011=>6
[3,6,1,2,4,5,7,8]=>0000011=>6
[1,3,2,6,4,5,7,8]=>1010011=>1
[1,3,6,2,4,5,7,8]=>1000011=>1
[1,3,4,6,2,5,7,8]=>1000011=>1
[3,1,2,4,6,7,5,8]=>0011001=>3
[1,3,4,6,2,7,5,8]=>1000001=>1
[3,1,2,4,6,7,8,5]=>0011000=>3
[1,3,4,6,7,2,8,5]=>1000000=>1
[3,7,1,2,8,4,5,6]=>0000000=>8
[3,1,7,8,2,4,5,6]=>0000000=>8
[3,7,8,1,2,4,5,6]=>0000000=>8
[3,7,1,2,4,8,5,6]=>0000000=>8
[3,1,2,7,4,8,5,6]=>0010000=>3
[1,3,2,7,4,8,5,6]=>1010000=>1
[1,3,7,2,4,8,5,6]=>1000000=>1
[1,3,7,2,8,4,5,6]=>1000000=>1
[1,3,7,8,2,4,5,6]=>1000000=>1
[3,7,1,2,4,5,8,6]=>0000000=>8
[1,3,7,2,4,5,8,6]=>1000000=>1
[3,1,2,4,7,5,8,6]=>0011000=>3
[1,3,2,4,7,5,8,6]=>1011000=>1
[1,3,4,2,7,5,8,6]=>1001000=>1
[1,3,4,7,2,5,8,6]=>1000000=>1
[3,1,2,4,7,8,5,6]=>0011000=>3
[1,3,4,7,8,2,5,6]=>1000000=>1
[3,1,7,2,4,5,6,8]=>0000001=>7
[3,7,1,2,4,5,6,8]=>0000001=>7
[1,3,2,7,4,5,6,8]=>1010001=>1
[1,3,7,2,4,5,6,8]=>1000001=>1
[3,1,2,4,7,5,6,8]=>0011001=>3
[1,3,4,7,2,5,6,8]=>1000001=>1
[3,1,2,4,5,7,6,8]=>0011101=>3
[1,3,4,5,7,2,6,8]=>1000001=>1
[3,1,2,4,5,7,8,6]=>0011100=>3
[1,3,4,5,7,8,2,6]=>1000000=>1
[3,1,8,2,4,5,6,7]=>0000000=>8
[3,8,1,2,4,5,6,7]=>0000000=>8
[3,1,2,8,4,5,6,7]=>0010000=>3
[1,3,2,8,4,5,6,7]=>1010000=>1
[1,3,8,2,4,5,6,7]=>1000000=>1
[3,1,2,4,8,5,6,7]=>0011000=>3
[1,3,2,4,8,5,6,7]=>1011000=>1
[1,3,4,2,8,5,6,7]=>1001000=>1
[1,3,4,8,2,5,6,7]=>1000000=>1
[3,1,2,4,5,8,6,7]=>0011100=>3
[1,3,2,4,5,8,6,7]=>1011100=>1
[1,3,4,2,5,8,6,7]=>1001100=>1
[1,3,4,5,2,8,6,7]=>1000100=>1
[1,3,4,5,8,2,6,7]=>1000000=>1
[3,1,2,4,5,6,8,7]=>0011110=>3
[1,3,4,5,6,8,2,7]=>1000000=>1
[4,1,5,2,6,3,8,7]=>0000010=>6
[4,5,1,2,6,3,8,7]=>0000010=>6
[4,1,5,6,2,3,8,7]=>0000010=>6
[4,5,1,6,2,3,8,7]=>0000010=>6
[4,5,6,1,2,3,8,7]=>0000010=>6
[4,1,5,2,6,8,3,7]=>0000000=>8
[4,5,1,2,6,8,3,7]=>0000000=>8
[4,5,1,6,2,8,3,7]=>0000000=>8
[4,1,5,6,8,2,3,7]=>0000000=>8
[4,5,6,1,8,2,3,7]=>0000000=>8
[4,5,6,8,1,2,3,7]=>0000000=>8
[4,1,5,2,6,3,7,8]=>0000011=>6
[4,5,1,2,6,7,3,8]=>0000001=>7
[4,5,1,6,2,7,3,8]=>0000001=>7
[4,5,6,1,2,7,3,8]=>0000001=>7
[4,1,5,6,7,2,3,8]=>0000001=>7
[4,5,1,6,7,2,3,8]=>0000001=>7
[4,5,6,1,7,2,3,8]=>0000001=>7
[4,1,5,2,6,7,8,3]=>0000000=>8
[4,5,1,2,6,7,8,3]=>0000000=>8
[4,5,1,6,2,7,8,3]=>0000000=>8
[4,5,6,1,2,7,8,3]=>0000000=>8
[4,1,5,6,7,2,8,3]=>0000000=>8
[4,5,1,6,7,2,8,3]=>0000000=>8
[4,5,6,1,7,2,8,3]=>0000000=>8
[4,5,6,7,1,2,8,3]=>0000000=>8
[4,1,5,6,7,8,2,3]=>0000000=>8
[4,5,1,6,7,8,2,3]=>0000000=>8
[4,5,6,1,7,8,2,3]=>0000000=>8
[4,5,6,7,1,8,2,3]=>0000000=>8
[4,1,5,2,7,3,8,6]=>0000000=>8
[4,5,1,2,7,3,8,6]=>0000000=>8
[4,5,1,7,2,3,8,6]=>0000000=>8
[4,1,5,2,7,8,3,6]=>0000000=>8
[4,5,1,2,7,8,3,6]=>0000000=>8
[4,1,5,7,2,8,3,6]=>0000000=>8
[4,5,1,7,2,8,3,6]=>0000000=>8
[4,5,7,1,2,8,3,6]=>0000000=>8
[4,5,1,7,8,2,3,6]=>0000000=>8
[4,5,7,8,1,2,3,6]=>0000000=>8
[4,1,5,2,7,3,6,8]=>0000001=>7
[4,5,1,2,7,3,6,8]=>0000001=>7
[4,1,5,2,3,7,6,8]=>0000101=>5
[4,5,1,2,3,7,6,8]=>0000101=>5
[4,1,2,5,3,7,6,8]=>0000101=>5
[1,4,2,5,3,7,6,8]=>1000101=>1
[4,1,2,5,7,3,6,8]=>0000001=>7
[1,4,2,5,7,3,6,8]=>1000001=>1
[1,4,5,2,7,3,6,8]=>1000001=>1
[1,4,5,7,2,3,6,8]=>1000001=>1
[4,1,5,2,3,7,8,6]=>0000100=>5
[4,1,2,5,3,7,8,6]=>0000100=>5
[1,4,5,2,3,7,8,6]=>1000100=>1
[4,1,2,5,7,3,8,6]=>0000000=>8
[1,4,2,5,7,3,8,6]=>1000000=>1
[1,4,5,2,7,3,8,6]=>1000000=>1
[1,4,2,5,7,8,3,6]=>1000000=>1
[1,4,5,2,7,8,3,6]=>1000000=>1
[1,4,5,7,8,2,3,6]=>1000000=>1
[4,1,5,2,8,3,6,7]=>0000000=>8
[4,5,1,2,8,3,6,7]=>0000000=>8
[4,5,1,8,2,3,6,7]=>0000000=>8
[4,5,8,1,2,3,6,7]=>0000000=>8
[4,1,5,2,3,8,6,7]=>0000100=>5
[4,5,1,2,3,8,6,7]=>0000100=>5
[4,1,2,5,3,8,6,7]=>0000100=>5
[1,4,2,5,3,8,6,7]=>1000100=>1
[1,4,5,2,3,8,6,7]=>1000100=>1
[4,1,2,5,8,3,6,7]=>0000000=>8
[1,4,2,5,8,3,6,7]=>1000000=>1
[1,4,2,5,3,6,8,7]=>1000110=>1
[4,1,2,5,6,3,8,7]=>0000010=>6
[1,4,5,2,6,3,8,7]=>1000010=>1
[4,1,2,5,6,8,3,7]=>0000000=>8
[1,4,2,5,6,8,3,7]=>1000000=>1
[1,4,5,2,6,8,3,7]=>1000000=>1
[1,4,5,6,8,2,3,7]=>1000000=>1
[4,1,2,5,3,6,7,8]=>0000111=>5
[1,4,2,5,3,6,7,8]=>1000111=>1
[1,4,5,2,3,6,7,8]=>1000111=>1
[4,1,2,5,6,3,7,8]=>0000011=>6
[1,4,5,2,6,3,7,8]=>1000011=>1
[4,1,2,5,6,7,3,8]=>0000001=>7
[1,4,2,5,6,7,3,8]=>1000001=>1
[1,4,5,6,7,2,3,8]=>1000001=>1
[4,1,2,5,6,7,8,3]=>0000000=>8
[1,4,2,5,6,7,8,3]=>1000000=>1
[1,4,5,2,6,7,8,3]=>1000000=>1
[1,4,5,6,2,7,8,3]=>1000000=>1
[1,4,5,6,7,2,8,3]=>1000000=>1
[1,4,5,6,7,8,2,3]=>1000000=>1
[4,1,6,2,7,3,8,5]=>0000000=>8
[4,6,7,1,2,3,8,5]=>0000000=>8
[4,6,7,1,8,2,3,5]=>0000000=>8
[4,6,7,8,1,2,3,5]=>0000000=>8
[4,1,6,2,7,3,5,8]=>0000001=>7
[4,6,1,2,7,3,5,8]=>0000001=>7
[4,1,6,7,2,3,5,8]=>0000001=>7
[4,6,1,7,2,3,5,8]=>0000001=>7
[4,6,1,2,3,7,5,8]=>0000001=>7
[4,1,2,6,3,7,5,8]=>0000001=>7
[1,4,2,6,3,7,5,8]=>1000001=>1
[4,1,2,6,7,3,5,8]=>0000001=>7
[1,4,2,6,7,3,5,8]=>1000001=>1
[1,4,6,2,7,3,5,8]=>1000001=>1
[1,4,6,7,2,3,5,8]=>1000001=>1
[4,1,6,2,3,7,8,5]=>0000000=>8
[4,1,2,6,3,7,8,5]=>0000000=>8
[1,4,6,2,3,7,8,5]=>1000000=>1
[4,1,2,6,7,3,8,5]=>0000000=>8
[1,4,6,2,7,3,8,5]=>1000000=>1
[1,4,2,6,7,8,3,5]=>1000000=>1
[1,4,6,2,7,8,3,5]=>1000000=>1
[1,4,6,7,2,8,3,5]=>1000000=>1
[4,1,6,2,8,3,5,7]=>0000000=>8
[4,6,1,2,8,3,5,7]=>0000000=>8
[4,1,6,8,2,3,5,7]=>0000000=>8
[4,6,1,8,2,3,5,7]=>0000000=>8
[4,6,8,1,2,3,5,7]=>0000000=>8
[4,6,1,2,3,8,5,7]=>0000000=>8
[4,1,2,6,3,8,5,7]=>0000000=>8
[1,4,2,6,3,8,5,7]=>1000000=>1
[1,4,6,2,3,8,5,7]=>1000000=>1
[1,4,2,6,8,3,5,7]=>1000000=>1
[1,4,6,8,2,3,5,7]=>1000000=>1
[4,1,6,2,3,5,8,7]=>0000010=>6
[4,6,1,2,3,5,8,7]=>0000010=>6
[1,4,2,6,3,5,8,7]=>1000010=>1
[1,4,6,2,3,5,8,7]=>1000010=>1
[4,1,2,3,6,5,8,7]=>0001010=>4
[1,4,2,3,6,5,8,7]=>1001010=>1
[1,2,4,6,3,5,8,7]=>1100010=>1
[1,2,4,3,6,8,5,7]=>1101000=>1
[1,2,4,6,3,8,5,7]=>1100000=>1
[1,2,4,6,8,3,5,7]=>1100000=>1
[4,1,6,2,3,5,7,8]=>0000011=>6
[4,6,1,2,3,5,7,8]=>0000011=>6
[1,4,2,6,3,5,7,8]=>1000011=>1
[1,4,6,2,3,5,7,8]=>1000011=>1
[1,4,2,3,6,5,7,8]=>1001011=>1
[1,2,4,6,3,5,7,8]=>1100011=>1
[1,4,2,3,6,7,5,8]=>1001001=>1
[4,1,2,3,6,7,8,5]=>0001000=>4
[1,4,2,3,6,7,8,5]=>1001000=>1
[1,2,4,6,7,8,3,5]=>1100000=>1
[4,1,7,2,8,3,5,6]=>0000000=>8
[4,1,7,8,2,3,5,6]=>0000000=>8
[4,7,1,8,2,3,5,6]=>0000000=>8
[4,1,7,2,3,8,5,6]=>0000000=>8
[4,7,1,2,3,8,5,6]=>0000000=>8
[1,4,2,7,3,8,5,6]=>1000000=>1
[1,4,7,2,3,8,5,6]=>1000000=>1
[4,1,2,7,8,3,5,6]=>0000000=>8
[1,4,2,7,8,3,5,6]=>1000000=>1
[1,4,7,2,8,3,5,6]=>1000000=>1
[1,4,7,8,2,3,5,6]=>1000000=>1
[4,1,7,2,3,5,8,6]=>0000000=>8
[4,1,2,7,3,5,8,6]=>0000000=>8
[1,4,2,7,3,5,8,6]=>1000000=>1
[1,4,7,2,3,5,8,6]=>1000000=>1
[4,1,2,3,7,5,8,6]=>0001000=>4
[1,4,2,3,7,5,8,6]=>1001000=>1
[1,2,4,3,7,5,8,6]=>1101000=>1
[1,2,4,7,3,5,8,6]=>1100000=>1
[1,4,2,3,7,8,5,6]=>1001000=>1
[1,2,4,3,7,8,5,6]=>1101000=>1
[1,2,4,7,3,8,5,6]=>1100000=>1
[1,2,4,7,8,3,5,6]=>1100000=>1
[4,1,7,2,3,5,6,8]=>0000001=>7
[4,1,2,7,3,5,6,8]=>0000001=>7
[1,4,2,7,3,5,6,8]=>1000001=>1
[1,4,7,2,3,5,6,8]=>1000001=>1
[4,1,2,3,7,5,6,8]=>0001001=>4
[1,4,2,3,7,5,6,8]=>1001001=>1
[1,2,4,3,7,5,6,8]=>1101001=>1
[1,2,4,7,3,5,6,8]=>1100001=>1
[4,1,2,3,5,7,6,8]=>0001101=>4
[1,4,2,3,5,7,6,8]=>1001101=>1
[1,2,4,5,7,3,6,8]=>1100001=>1
[4,1,2,3,5,7,8,6]=>0001100=>4
[1,4,2,3,5,7,8,6]=>1001100=>1
[1,2,4,5,7,3,8,6]=>1100000=>1
[1,2,4,5,7,8,3,6]=>1100000=>1
[4,1,8,2,3,5,6,7]=>0000000=>8
[4,8,1,2,3,5,6,7]=>0000000=>8
[1,4,2,8,3,5,6,7]=>1000000=>1
[1,4,8,2,3,5,6,7]=>1000000=>1
[4,1,2,3,8,5,6,7]=>0001000=>4
[1,4,2,3,8,5,6,7]=>1001000=>1
[1,2,4,3,8,5,6,7]=>1101000=>1
[1,2,4,8,3,5,6,7]=>1100000=>1
[4,1,2,3,5,8,6,7]=>0001100=>4
[1,4,2,3,5,8,6,7]=>1001100=>1
[1,2,4,3,5,8,6,7]=>1101100=>1
[1,2,4,5,8,3,6,7]=>1100000=>1
[1,4,2,3,5,6,8,7]=>1001110=>1
[1,2,4,5,6,8,3,7]=>1100000=>1
[1,4,2,3,5,6,7,8]=>1001111=>1
[5,1,6,2,7,3,8,4]=>0000000=>8
[5,6,1,2,7,3,8,4]=>0000000=>8
[5,6,1,7,2,3,8,4]=>0000000=>8
[5,6,7,1,2,3,8,4]=>0000000=>8
[5,6,1,2,7,8,3,4]=>0000000=>8
[5,1,6,7,2,8,3,4]=>0000000=>8
[5,6,7,1,2,8,3,4]=>0000000=>8
[5,1,6,7,8,2,3,4]=>0000000=>8
[5,6,1,7,8,2,3,4]=>0000000=>8
[5,6,7,1,8,2,3,4]=>0000000=>8
[5,1,6,2,7,3,4,8]=>0000001=>7
[5,1,6,2,3,7,4,8]=>0000001=>7
[5,1,2,6,3,7,4,8]=>0000001=>7
[1,5,2,6,3,7,4,8]=>1000001=>1
[5,1,2,6,7,3,4,8]=>0000001=>7
[1,5,2,6,7,3,4,8]=>1000001=>1
[1,5,6,7,2,3,4,8]=>1000001=>1
[5,1,6,2,3,7,8,4]=>0000000=>8
[5,6,1,2,3,7,8,4]=>0000000=>8
[5,1,2,6,3,7,8,4]=>0000000=>8
[1,5,2,6,3,7,8,4]=>1000000=>1
[1,5,6,2,3,7,8,4]=>1000000=>1
[5,1,2,6,7,3,8,4]=>0000000=>8
[1,5,6,7,2,3,8,4]=>1000000=>1
[5,1,2,6,7,8,3,4]=>0000000=>8
[1,5,6,7,2,8,3,4]=>1000000=>1
[1,5,6,7,8,2,3,4]=>1000000=>1
[5,1,6,2,8,3,4,7]=>0000000=>8
[5,6,1,2,8,3,4,7]=>0000000=>8
[5,6,1,8,2,3,4,7]=>0000000=>8
[5,6,8,1,2,3,4,7]=>0000000=>8
[5,1,6,2,3,8,4,7]=>0000000=>8
[5,6,1,2,3,8,4,7]=>0000000=>8
[5,1,2,6,3,8,4,7]=>0000000=>8
[1,5,2,6,3,8,4,7]=>1000000=>1
[1,5,6,2,3,8,4,7]=>1000000=>1
[5,1,2,6,8,3,4,7]=>0000000=>8
[1,5,2,6,8,3,4,7]=>1000000=>1
[1,5,6,2,8,3,4,7]=>1000000=>1
[1,5,2,6,3,4,8,7]=>1000010=>1
[1,5,6,2,3,4,8,7]=>1000010=>1
[1,5,2,3,6,4,8,7]=>1000010=>1
[1,2,5,3,6,4,8,7]=>1100010=>1
[1,2,5,6,3,4,8,7]=>1100010=>1
[5,1,2,3,6,8,4,7]=>0000000=>8
[1,5,2,3,6,8,4,7]=>1000000=>1
[1,2,5,6,3,8,4,7]=>1100000=>1
[1,2,5,6,8,3,4,7]=>1100000=>1
[5,1,6,2,3,4,7,8]=>0000011=>6
[5,1,2,6,3,4,7,8]=>0000011=>6
[1,5,2,6,3,4,7,8]=>1000011=>1
[1,5,6,2,3,4,7,8]=>1000011=>1
[5,1,2,3,6,4,7,8]=>0000011=>6
[1,5,2,3,6,4,7,8]=>1000011=>1
[1,2,5,6,3,4,7,8]=>1100011=>1
[1,5,2,3,6,7,4,8]=>1000001=>1
[1,2,5,3,6,7,4,8]=>1100001=>1
[1,2,5,6,3,7,4,8]=>1100001=>1
[5,1,2,3,6,7,8,4]=>0000000=>8
[1,5,2,3,6,7,8,4]=>1000000=>1
[1,2,5,3,6,7,8,4]=>1100000=>1
[1,2,5,6,3,7,8,4]=>1100000=>1
[1,2,5,6,7,3,8,4]=>1100000=>1
[1,2,5,6,7,8,3,4]=>1100000=>1
[5,1,7,2,8,3,4,6]=>0000000=>8
[5,7,1,2,8,3,4,6]=>0000000=>8
[5,1,7,8,2,3,4,6]=>0000000=>8
[5,7,8,1,2,3,4,6]=>0000000=>8
[5,1,2,7,3,8,4,6]=>0000000=>8
[1,5,2,7,3,8,4,6]=>1000000=>1
[1,5,7,2,3,8,4,6]=>1000000=>1
[5,1,2,7,8,3,4,6]=>0000000=>8
[1,5,2,7,8,3,4,6]=>1000000=>1
[1,5,7,2,8,3,4,6]=>1000000=>1
[1,5,7,8,2,3,4,6]=>1000000=>1
[5,1,2,7,3,4,8,6]=>0000000=>8
[1,5,2,7,3,4,8,6]=>1000000=>1
[1,5,7,2,3,4,8,6]=>1000000=>1
[5,1,2,3,7,4,8,6]=>0000000=>8
[1,5,2,3,7,4,8,6]=>1000000=>1
[1,2,5,3,7,4,8,6]=>1100000=>1
[1,2,5,7,3,4,8,6]=>1100000=>1
[5,1,2,3,7,8,4,6]=>0000000=>8
[1,5,2,3,7,8,4,6]=>1000000=>1
[1,2,5,3,7,8,4,6]=>1100000=>1
[1,2,5,7,3,8,4,6]=>1100000=>1
[1,2,5,7,8,3,4,6]=>1100000=>1
[5,1,7,2,3,4,6,8]=>0000001=>7
[5,7,1,2,3,4,6,8]=>0000001=>7
[1,5,2,7,3,4,6,8]=>1000001=>1
[1,5,2,3,7,4,6,8]=>1000001=>1
[1,2,5,3,7,4,6,8]=>1100001=>1
[1,2,5,7,3,4,6,8]=>1100001=>1
[1,5,2,3,4,7,6,8]=>1000101=>1
[1,2,5,3,4,7,6,8]=>1100101=>1
[1,2,3,5,7,4,6,8]=>1110001=>1
[1,5,2,3,4,7,8,6]=>1000100=>1
[1,2,5,3,4,7,8,6]=>1100100=>1
[1,2,3,5,7,4,8,6]=>1110000=>1
[1,2,3,5,7,8,4,6]=>1110000=>1
[5,8,1,2,3,4,6,7]=>0000000=>8
[5,1,2,8,3,4,6,7]=>0000000=>8
[1,5,2,8,3,4,6,7]=>1000000=>1
[1,5,2,3,8,4,6,7]=>1000000=>1
[1,2,5,3,8,4,6,7]=>1100000=>1
[1,2,5,8,3,4,6,7]=>1100000=>1
[5,1,2,3,4,8,6,7]=>0000100=>5
[1,5,2,3,4,8,6,7]=>1000100=>1
[1,2,5,3,4,8,6,7]=>1100100=>1
[1,2,3,5,4,8,6,7]=>1110100=>1
[1,2,3,5,8,4,6,7]=>1110000=>1
[5,1,2,3,4,6,8,7]=>0000110=>5
[1,5,2,3,4,6,8,7]=>1000110=>1
[1,2,5,3,4,6,8,7]=>1100110=>1
[1,2,3,5,6,8,4,7]=>1110000=>1
[1,5,2,3,4,6,7,8]=>1000111=>1
[1,2,5,3,4,6,7,8]=>1100111=>1
[6,1,7,2,8,3,4,5]=>0000000=>8
[6,7,1,2,8,3,4,5]=>0000000=>8
[6,1,7,8,2,3,4,5]=>0000000=>8
[6,7,1,8,2,3,4,5]=>0000000=>8
[6,1,7,2,3,8,4,5]=>0000000=>8
[6,7,1,2,3,8,4,5]=>0000000=>8
[6,1,2,7,3,8,4,5]=>0000000=>8
[1,6,2,7,3,8,4,5]=>1000000=>1
[1,6,7,2,3,8,4,5]=>1000000=>1
[6,1,2,7,8,3,4,5]=>0000000=>8
[1,6,2,7,8,3,4,5]=>1000000=>1
[1,6,7,2,8,3,4,5]=>1000000=>1
[1,6,7,8,2,3,4,5]=>1000000=>1
[6,1,7,2,3,4,8,5]=>0000000=>8
[6,7,1,2,3,4,8,5]=>0000000=>8
[6,1,2,7,3,4,8,5]=>0000000=>8
[1,6,2,7,3,4,8,5]=>1000000=>1
[1,6,7,2,3,4,8,5]=>1000000=>1
[6,1,2,3,7,4,8,5]=>0000000=>8
[1,6,2,3,7,4,8,5]=>1000000=>1
[1,2,6,3,7,4,8,5]=>1100000=>1
[1,2,6,7,3,4,8,5]=>1100000=>1
[6,1,2,3,7,8,4,5]=>0000000=>8
[1,6,2,3,7,8,4,5]=>1000000=>1
[1,2,6,3,7,8,4,5]=>1100000=>1
[1,2,6,7,3,8,4,5]=>1100000=>1
[1,2,6,7,8,3,4,5]=>1100000=>1
[6,1,7,2,3,4,5,8]=>0000001=>7
[6,1,2,7,3,4,5,8]=>0000001=>7
[1,6,2,7,3,4,5,8]=>1000001=>1
[1,6,7,2,3,4,5,8]=>1000001=>1
[1,6,2,3,7,4,5,8]=>1000001=>1
[1,2,6,3,7,4,5,8]=>1100001=>1
[1,2,6,7,3,4,5,8]=>1100001=>1
[6,1,2,3,4,7,5,8]=>0000001=>7
[1,6,2,3,4,7,5,8]=>1000001=>1
[1,2,6,3,4,7,5,8]=>1100001=>1
[1,2,3,6,4,7,5,8]=>1110001=>1
[1,2,3,6,7,4,5,8]=>1110001=>1
[6,1,2,3,4,7,8,5]=>0000000=>8
[1,6,2,3,4,7,8,5]=>1000000=>1
[1,2,6,3,4,7,8,5]=>1100000=>1
[1,2,3,6,4,7,8,5]=>1110000=>1
[1,2,3,6,7,4,8,5]=>1110000=>1
[1,2,3,6,7,8,4,5]=>1110000=>1
[6,1,8,2,3,4,5,7]=>0000000=>8
[6,8,1,2,3,4,5,7]=>0000000=>8
[6,1,2,8,3,4,5,7]=>0000000=>8
[1,6,2,8,3,4,5,7]=>1000000=>1
[1,6,8,2,3,4,5,7]=>1000000=>1
[6,1,2,3,8,4,5,7]=>0000000=>8
[1,6,2,3,8,4,5,7]=>1000000=>1
[1,2,6,3,8,4,5,7]=>1100000=>1
[1,2,6,8,3,4,5,7]=>1100000=>1
[6,1,2,3,4,8,5,7]=>0000000=>8
[1,6,2,3,4,8,5,7]=>1000000=>1
[1,2,6,3,4,8,5,7]=>1100000=>1
[1,2,3,6,4,8,5,7]=>1110000=>1
[1,2,3,6,8,4,5,7]=>1110000=>1
[6,1,2,3,4,5,8,7]=>0000010=>6
[1,6,2,3,4,5,8,7]=>1000010=>1
[1,2,6,3,4,5,8,7]=>1100010=>1
[1,2,3,6,4,5,8,7]=>1110010=>1
[1,2,3,4,6,8,5,7]=>1111000=>1
[1,6,2,3,4,5,7,8]=>1000011=>1
[1,2,6,3,4,5,7,8]=>1100011=>1
[1,2,3,6,4,5,7,8]=>1110011=>1
[7,1,8,2,3,4,5,6]=>0000000=>8
[7,1,2,8,3,4,5,6]=>0000000=>8
[1,7,2,8,3,4,5,6]=>1000000=>1
[1,7,8,2,3,4,5,6]=>1000000=>1
[7,1,2,3,8,4,5,6]=>0000000=>8
[1,7,2,3,8,4,5,6]=>1000000=>1
[1,2,7,3,8,4,5,6]=>1100000=>1
[1,2,7,8,3,4,5,6]=>1100000=>1
[7,1,2,3,4,8,5,6]=>0000000=>8
[1,7,2,3,4,8,5,6]=>1000000=>1
[1,2,7,3,4,8,5,6]=>1100000=>1
[1,2,3,7,4,8,5,6]=>1110000=>1
[1,2,3,7,8,4,5,6]=>1110000=>1
[7,1,2,3,4,5,8,6]=>0000000=>8
[1,7,2,3,4,5,8,6]=>1000000=>1
[1,2,7,3,4,5,8,6]=>1100000=>1
[1,2,3,7,4,5,8,6]=>1110000=>1
[1,2,3,4,7,5,8,6]=>1111000=>1
[1,2,3,4,7,8,5,6]=>1111000=>1
[1,7,2,3,4,5,6,8]=>1000001=>1
[1,2,7,3,4,5,6,8]=>1100001=>1
[1,2,3,7,4,5,6,8]=>1110001=>1
[1,2,3,4,7,5,6,8]=>1111001=>1
[1,8,2,3,4,5,6,7]=>1000000=>1
[1,2,8,3,4,5,6,7]=>1100000=>1
[1,2,3,8,4,5,6,7]=>1110000=>1
[1,2,3,4,8,5,6,7]=>1111000=>1
[1,2,3,4,5,8,6,7]=>1111100=>1
[5,3,2,6,1,4,8,7]=>0000010=>6
[7,3,2,5,4,8,1,6]=>0000000=>8
[8,4,5,2,3,7,6,1]=>0000000=>8
[7,4,5,2,3,8,1,6]=>0000000=>8
[6,4,5,2,3,1,8,7]=>0000010=>6
[5,4,6,2,1,3,8,7]=>0000010=>6
[3,6,1,5,4,2,8,7]=>0000010=>6
[4,6,5,1,3,2,8,7]=>0000010=>6
[5,6,4,3,1,2,8,7]=>0000010=>6
[7,5,4,3,2,8,1,6]=>0000000=>8
[8,6,4,3,7,2,5,1]=>0000000=>8
[7,6,4,3,8,2,1,5]=>0000000=>8
[6,7,4,3,8,1,2,5]=>0000000=>8
[5,7,4,3,1,8,2,6]=>0000000=>8
[4,7,5,1,3,8,2,6]=>0000000=>8
[3,7,1,5,4,8,2,6]=>0000000=>8
[2,1,7,5,4,8,3,6]=>0100000=>2
[3,8,1,5,4,7,6,2]=>0000000=>8
[4,8,5,1,3,7,6,2]=>0000000=>8
[5,8,4,3,1,7,6,2]=>0000000=>8
[6,8,4,3,7,1,5,2]=>0000000=>8
[7,8,4,3,6,5,1,2]=>0000000=>8
[6,8,5,7,3,1,4,2]=>0000000=>8
[5,8,6,7,1,3,4,2]=>0000000=>8
[4,8,6,1,7,3,5,2]=>0000000=>8
[3,8,1,6,7,4,5,2]=>0000000=>8
[2,1,8,6,7,4,5,3]=>0100000=>2
[2,1,7,6,8,4,3,5]=>0100000=>2
[3,7,1,6,8,4,2,5]=>0000000=>8
[4,7,6,1,8,3,2,5]=>0000000=>8
[5,7,6,8,1,3,2,4]=>0000000=>8
[5,4,7,2,1,8,3,6]=>0000000=>8
[6,4,7,2,8,1,3,5]=>0000000=>8
[7,4,6,2,8,3,1,5]=>0000000=>8
[8,4,6,2,7,3,5,1]=>0000000=>8
[8,3,2,6,7,4,5,1]=>0000000=>8
[7,3,2,6,8,4,1,5]=>0000000=>8
[6,3,2,7,8,1,4,5]=>0000000=>8
[5,3,2,7,1,8,4,6]=>0000000=>8
[4,3,2,1,7,8,5,6]=>0001000=>4
[3,4,1,2,8,7,6,5]=>0001000=>4
[5,3,2,8,1,7,6,4]=>0000000=>8
[6,3,2,8,7,1,5,4]=>0000000=>8
[7,3,2,8,6,5,1,4]=>0000000=>8
[8,4,7,2,6,5,3,1]=>0000000=>8
[7,4,8,2,6,5,1,3]=>0000000=>8
[6,4,8,2,7,1,5,3]=>0000000=>8
[5,4,8,2,1,7,6,3]=>0000000=>8
[4,5,8,1,2,7,6,3]=>0000000=>8
[3,5,1,8,2,7,6,4]=>0000000=>8
[2,1,5,8,3,7,6,4]=>0100000=>2
[2,1,6,8,7,3,5,4]=>0100000=>2
[3,6,1,8,7,2,5,4]=>0000000=>8
[4,6,8,1,7,2,5,3]=>0000000=>8
[5,6,8,7,1,2,4,3]=>0000000=>8
[6,5,8,7,2,1,4,3]=>0000000=>8
[7,5,8,6,2,4,1,3]=>0000000=>8
[8,5,7,6,2,4,3,1]=>0000000=>8
[5,7,8,6,1,4,2,3]=>0000000=>8
[4,7,8,1,6,5,2,3]=>0000000=>8
[3,7,1,8,6,5,2,4]=>0000000=>8
[2,1,7,8,6,5,3,4]=>0100000=>2
[3,8,1,7,6,5,4,2]=>0000000=>8
[4,8,7,1,6,5,3,2]=>0000000=>8
[5,8,7,6,1,4,3,2]=>0000000=>8
[6,8,7,5,4,1,3,2]=>0000000=>8
[2,1,4,3,6,5,8,7,10,9]=>010101010=>2
[3,4,1,2,6,5,8,7,10,9]=>000101010=>4
[4,3,2,1,6,5,8,7,10,9]=>000101010=>4
[6,3,2,5,4,1,8,7,10,9]=>000001010=>6
[8,3,2,5,4,7,6,1,10,9]=>000000010=>8
[10,3,2,5,4,7,6,9,8,1]=>000000000=>10
[2,1,6,5,4,3,8,7,10,9]=>010001010=>2
[6,5,4,3,2,1,8,7,10,9]=>000001010=>6
[8,5,4,3,2,7,6,1,10,9]=>000000010=>8
[10,5,4,3,2,7,6,9,8,1]=>000000000=>10
[2,1,8,5,4,7,6,3,10,9]=>010000010=>2
[8,7,4,3,6,5,2,1,10,9]=>000000010=>8
[10,7,4,3,6,5,2,9,8,1]=>000000000=>10
[2,1,10,5,4,7,6,9,8,3]=>010000000=>2
[10,9,4,3,6,5,8,7,2,1]=>000000000=>10
[8,9,5,6,3,4,10,1,2,7]=>000000000=>10
[2,1,4,3,8,7,6,5,10,9]=>010100010=>2
[4,3,2,1,8,7,6,5,10,9]=>000100010=>4
[8,3,2,7,6,5,4,1,10,9]=>000000010=>8
[10,3,2,7,6,5,4,9,8,1]=>000000000=>10
[2,1,8,7,6,5,4,3,10,9]=>010000010=>2
[8,7,6,5,4,3,2,1,10,9]=>000000010=>8
[9,7,6,5,4,3,2,10,1,8]=>000000000=>10
[10,7,6,5,4,3,2,9,8,1]=>000000000=>10
[2,1,10,7,6,5,4,9,8,3]=>010000000=>2
[10,9,6,5,4,3,8,7,2,1]=>000000000=>10
[2,1,4,3,10,7,6,9,8,5]=>010100000=>2
[4,3,2,1,10,7,6,9,8,5]=>000100000=>4
[10,3,2,9,6,5,8,7,4,1]=>000000000=>10
[2,1,10,9,6,5,8,7,4,3]=>010000000=>2
[10,9,8,5,4,7,6,3,2,1]=>000000000=>10
[10,8,9,6,7,4,5,2,3,1]=>000000000=>10
[6,7,8,9,10,1,2,3,4,5]=>000000000=>10
[7,3,2,8,9,10,1,4,5,6]=>000000000=>10
[8,5,4,3,2,9,10,1,6,7]=>000000000=>10
[2,1,4,3,6,5,10,9,8,7]=>010101000=>2
[4,3,2,1,6,5,10,9,8,7]=>000101000=>4
[6,3,2,5,4,1,10,9,8,7]=>000001000=>6
[10,3,2,5,4,9,8,7,6,1]=>000000000=>10
[2,1,6,5,4,3,10,9,8,7]=>010001000=>2
[6,5,4,3,2,1,10,9,8,7]=>000001000=>6
[10,5,4,3,2,9,8,7,6,1]=>000000000=>10
[2,1,10,5,4,9,8,7,6,3]=>010000000=>2
[10,9,4,3,8,7,6,5,2,1]=>000000000=>10
[9,7,5,10,3,8,2,6,1,4]=>000000000=>10
[2,1,4,3,10,9,8,7,6,5]=>010100000=>2
[4,3,2,1,10,9,8,7,6,5]=>000100000=>4
[10,3,2,9,8,7,6,5,4,1]=>000000000=>10
[2,1,10,9,8,7,6,5,4,3]=>010000000=>2
[9,10,8,7,6,5,4,3,1,2]=>000000000=>10
[10,9,8,7,6,5,4,3,2,1]=>000000000=>10
[3,2,5,1,4,6,7,8]=>0000111=>5
[4,2,5,1,3,6,7,8]=>0000111=>5
[5,2,4,1,3,6,7,8]=>0000111=>5
[3,2,6,1,4,5,7,8]=>0000011=>6
[4,2,6,1,3,5,7,8]=>0000011=>6
[5,3,6,1,2,4,7,8]=>0000011=>6
[6,2,4,1,3,5,7,8]=>0000011=>6
[5,3,7,1,2,4,6,8]=>0000001=>7
[5,4,7,1,2,3,6,8]=>0000001=>7
[6,2,7,1,3,4,5,8]=>0000001=>7
[6,3,7,1,2,4,5,8]=>0000001=>7
[6,4,7,1,2,3,5,8]=>0000001=>7
[7,3,5,1,2,4,6,8]=>0000001=>7
[7,3,6,1,2,4,5,8]=>0000001=>7
[7,4,6,1,2,3,5,8]=>0000001=>7
[3,2,8,1,4,5,6,7]=>0000000=>8
[4,2,8,1,3,5,6,7]=>0000000=>8
[5,4,8,1,2,3,6,7]=>0000000=>8
[6,2,8,1,3,4,5,7]=>0000000=>8
[6,3,8,1,2,4,5,7]=>0000000=>8
[6,5,8,1,2,3,4,7]=>0000000=>8
[7,2,8,1,3,4,5,6]=>0000000=>8
[7,5,8,1,2,3,4,6]=>0000000=>8
[8,3,5,1,2,4,6,7]=>0000000=>8
[8,5,7,1,2,3,4,6]=>0000000=>8
[3,2,5,7,1,4,6,8]=>0000001=>7
[4,2,5,7,1,3,6,8]=>0000001=>7
[5,2,4,7,1,3,6,8]=>0000001=>7
[4,2,6,7,1,3,5,8]=>0000001=>7
[5,2,6,7,1,3,4,8]=>0000001=>7
[5,3,6,7,1,2,4,8]=>0000001=>7
[6,2,5,7,1,3,4,8]=>0000001=>7
[6,3,5,7,1,2,4,8]=>0000001=>7
[3,2,5,8,1,4,6,7]=>0000000=>8
[4,2,5,8,1,3,6,7]=>0000000=>8
[4,3,5,8,1,2,6,7]=>0000000=>8
[5,2,4,8,1,3,6,7]=>0000000=>8
[3,2,6,8,1,4,5,7]=>0000000=>8
[4,2,6,8,1,3,5,7]=>0000000=>8
[5,2,6,8,1,3,4,7]=>0000000=>8
[6,2,4,8,1,3,5,7]=>0000000=>8
[6,2,5,8,1,3,4,7]=>0000000=>8
[6,3,5,8,1,2,4,7]=>0000000=>8
[3,2,7,8,1,4,5,6]=>0000000=>8
[4,3,7,8,1,2,5,6]=>0000000=>8
[5,3,7,8,1,2,4,6]=>0000000=>8
[5,4,7,8,1,2,3,6]=>0000000=>8
[6,2,7,8,1,3,4,5]=>0000000=>8
[6,3,7,8,1,2,4,5]=>0000000=>8
[6,4,7,8,1,2,3,5]=>0000000=>8
[7,2,4,8,1,3,5,6]=>0000000=>8
[7,3,4,8,1,2,5,6]=>0000000=>8
[7,4,5,8,1,2,3,6]=>0000000=>8
[8,3,5,7,1,2,4,6]=>0000000=>8
[8,2,6,7,1,3,4,5]=>0000000=>8
[8,4,6,7,1,2,3,5]=>0000000=>8
[3,6,2,5,1,4,7,8]=>0000011=>6
[4,6,2,5,1,3,7,8]=>0000011=>6
[4,6,3,5,1,2,7,8]=>0000011=>6
[5,6,2,4,1,3,7,8]=>0000011=>6
[3,7,2,5,1,4,6,8]=>0000001=>7
[4,7,3,5,1,2,6,8]=>0000001=>7
[5,7,2,4,1,3,6,8]=>0000001=>7
[3,7,2,6,1,4,5,8]=>0000001=>7
[4,7,3,6,1,2,5,8]=>0000001=>7
[5,7,2,6,1,3,4,8]=>0000001=>7
[6,7,2,5,1,3,4,8]=>0000001=>7
[4,8,2,5,1,3,6,7]=>0000000=>8
[5,8,3,4,1,2,6,7]=>0000000=>8
[3,8,2,6,1,4,5,7]=>0000000=>8
[5,8,3,6,1,2,4,7]=>0000000=>8
[5,8,4,6,1,2,3,7]=>0000000=>8
[6,8,3,5,1,2,4,7]=>0000000=>8
[3,8,2,7,1,4,5,6]=>0000000=>8
[4,8,2,7,1,3,5,6]=>0000000=>8
[4,8,3,7,1,2,5,6]=>0000000=>8
[5,8,2,7,1,3,4,6]=>0000000=>8
[5,8,4,7,1,2,3,6]=>0000000=>8
[6,8,2,7,1,3,4,5]=>0000000=>8
[6,8,3,7,1,2,4,5]=>0000000=>8
[6,8,5,7,1,2,3,4]=>0000000=>8
[7,8,2,4,1,3,5,6]=>0000000=>8
[7,8,2,5,1,3,4,6]=>0000000=>8
[7,8,4,6,1,2,3,5]=>0000000=>8
[4,3,2,6,1,5,7,8]=>0000011=>6
[5,3,2,6,1,4,7,8]=>0000011=>6
[5,4,2,6,1,3,7,8]=>0000011=>6
[6,3,2,5,1,4,7,8]=>0000011=>6
[4,3,2,7,1,5,6,8]=>0000001=>7
[5,3,2,7,1,4,6,8]=>0000001=>7
[5,4,3,7,1,2,6,8]=>0000001=>7
[6,3,2,7,1,4,5,8]=>0000001=>7
[6,4,2,7,1,3,5,8]=>0000001=>7
[6,4,3,7,1,2,5,8]=>0000001=>7
[6,5,2,7,1,3,4,8]=>0000001=>7
[6,5,3,7,1,2,4,8]=>0000001=>7
[7,3,2,5,1,4,6,8]=>0000001=>7
[7,4,2,5,1,3,6,8]=>0000001=>7
[7,3,2,6,1,4,5,8]=>0000001=>7
[7,4,2,6,1,3,5,8]=>0000001=>7
[7,4,3,6,1,2,5,8]=>0000001=>7
[7,5,2,6,1,3,4,8]=>0000001=>7
[7,5,3,6,1,2,4,8]=>0000001=>7
[7,6,3,5,1,2,4,8]=>0000001=>7
[4,3,2,8,1,5,6,7]=>0000000=>8
[5,3,2,8,1,4,6,7]=>0000000=>8
[5,4,3,8,1,2,6,7]=>0000000=>8
[6,3,2,8,1,4,5,7]=>0000000=>8
[6,4,2,8,1,3,5,7]=>0000000=>8
[6,4,3,8,1,2,5,7]=>0000000=>8
[6,5,2,8,1,3,4,7]=>0000000=>8
[6,5,3,8,1,2,4,7]=>0000000=>8
[7,4,2,8,1,3,5,6]=>0000000=>8
[7,4,3,8,1,2,5,6]=>0000000=>8
[7,5,3,8,1,2,4,6]=>0000000=>8
[7,6,2,8,1,3,4,5]=>0000000=>8
[8,3,2,5,1,4,6,7]=>0000000=>8
[8,4,2,5,1,3,6,7]=>0000000=>8
[8,4,2,6,1,3,5,7]=>0000000=>8
[8,5,3,6,1,2,4,7]=>0000000=>8
[8,6,2,5,1,3,4,7]=>0000000=>8
[8,4,2,7,1,3,5,6]=>0000000=>8
[8,4,3,7,1,2,5,6]=>0000000=>8
[8,5,2,7,1,3,4,6]=>0000000=>8
[8,5,3,7,1,2,4,6]=>0000000=>8
[8,7,2,4,1,3,5,6]=>0000000=>8
[8,7,2,5,1,3,4,6]=>0000000=>8
[8,7,3,5,1,2,4,6]=>0000000=>8
[8,7,2,6,1,3,4,5]=>0000000=>8
[8,7,3,6,1,2,4,5]=>0000000=>8
[8,7,4,6,1,2,3,5]=>0000000=>8
[3,6,2,5,8,1,4,7]=>0000000=>8
[4,6,3,5,8,1,2,7]=>0000000=>8
[5,6,2,4,8,1,3,7]=>0000000=>8
[4,7,3,5,8,1,2,6]=>0000000=>8
[5,7,2,4,8,1,3,6]=>0000000=>8
[5,7,3,4,8,1,2,6]=>0000000=>8
[4,7,3,6,8,1,2,5]=>0000000=>8
[5,7,2,6,8,1,3,4]=>0000000=>8
[5,7,4,6,8,1,2,3]=>0000000=>8
[6,7,3,4,8,1,2,5]=>0000000=>8
[4,8,3,5,7,1,2,6]=>0000000=>8
[5,8,2,4,7,1,3,6]=>0000000=>8
[5,8,2,6,7,1,3,4]=>0000000=>8
[7,8,2,4,6,1,3,5]=>0000000=>8
[7,8,3,4,6,1,2,5]=>0000000=>8
[7,8,2,5,6,1,3,4]=>0000000=>8
[7,8,3,5,6,1,2,4]=>0000000=>8
[4,3,2,6,8,1,5,7]=>0000000=>8
[5,3,2,6,8,1,4,7]=>0000000=>8
[5,4,2,6,8,1,3,7]=>0000000=>8
[5,4,3,6,8,1,2,7]=>0000000=>8
[6,3,2,5,8,1,4,7]=>0000000=>8
[6,5,2,4,8,1,3,7]=>0000000=>8
[4,3,2,7,8,1,5,6]=>0000000=>8
[5,3,2,7,8,1,4,6]=>0000000=>8
[5,4,2,7,8,1,3,6]=>0000000=>8
[5,4,3,7,8,1,2,6]=>0000000=>8
[6,4,2,7,8,1,3,5]=>0000000=>8
[6,4,3,7,8,1,2,5]=>0000000=>8
[6,5,2,7,8,1,3,4]=>0000000=>8
[7,4,3,5,8,1,2,6]=>0000000=>8
[7,5,2,6,8,1,3,4]=>0000000=>8
[7,6,2,4,8,1,3,5]=>0000000=>8
[7,6,3,5,8,1,2,4]=>0000000=>8
[8,3,2,5,7,1,4,6]=>0000000=>8
[8,4,2,5,7,1,3,6]=>0000000=>8
[8,5,2,4,7,1,3,6]=>0000000=>8
[8,5,2,6,7,1,3,4]=>0000000=>8
[8,5,3,6,7,1,2,4]=>0000000=>8
[8,6,2,4,7,1,3,5]=>0000000=>8
[8,6,2,5,7,1,3,4]=>0000000=>8
[8,6,3,5,7,1,2,4]=>0000000=>8
[8,7,2,4,6,1,3,5]=>0000000=>8
[8,7,3,4,6,1,2,5]=>0000000=>8
[8,7,2,5,6,1,3,4]=>0000000=>8
[4,3,7,2,6,1,5,8]=>0000001=>7
[5,3,7,2,6,1,4,8]=>0000001=>7
[5,4,7,2,6,1,3,8]=>0000001=>7
[6,3,7,2,5,1,4,8]=>0000001=>7
[6,4,7,2,5,1,3,8]=>0000001=>7
[6,4,7,3,5,1,2,8]=>0000001=>7
[7,3,6,2,5,1,4,8]=>0000001=>7
[4,3,8,2,6,1,5,7]=>0000000=>8
[5,3,8,2,6,1,4,7]=>0000000=>8
[5,4,8,2,6,1,3,7]=>0000000=>8
[5,4,8,3,6,1,2,7]=>0000000=>8
[6,3,8,2,5,1,4,7]=>0000000=>8
[6,4,8,2,5,1,3,7]=>0000000=>8
[6,4,8,3,5,1,2,7]=>0000000=>8
[6,5,8,2,4,1,3,7]=>0000000=>8
[4,3,8,2,7,1,5,6]=>0000000=>8
[5,4,8,2,7,1,3,6]=>0000000=>8
[5,4,8,3,7,1,2,6]=>0000000=>8
[6,3,8,2,7,1,4,5]=>0000000=>8
[6,4,8,2,7,1,3,5]=>0000000=>8
[7,3,8,2,5,1,4,6]=>0000000=>8
[7,4,8,3,5,1,2,6]=>0000000=>8
[7,5,8,2,4,1,3,6]=>0000000=>8
[7,5,8,2,6,1,3,4]=>0000000=>8
[7,5,8,4,6,1,2,3]=>0000000=>8
[8,3,6,2,5,1,4,7]=>0000000=>8
[8,4,6,2,5,1,3,7]=>0000000=>8
[8,3,7,2,5,1,4,6]=>0000000=>8
[8,4,7,3,5,1,2,6]=>0000000=>8
[8,5,7,2,4,1,3,6]=>0000000=>8
[8,3,7,2,6,1,4,5]=>0000000=>8
[8,4,7,2,6,1,3,5]=>0000000=>8
[8,4,7,3,6,1,2,5]=>0000000=>8
[8,5,7,2,6,1,3,4]=>0000000=>8
[8,6,7,2,4,1,3,5]=>0000000=>8
[8,6,7,2,5,1,3,4]=>0000000=>8
[5,4,3,2,7,1,6,8]=>0000001=>7
[6,4,3,2,7,1,5,8]=>0000001=>7
[6,5,3,2,7,1,4,8]=>0000001=>7
[6,5,4,2,7,1,3,8]=>0000001=>7
[7,5,3,2,6,1,4,8]=>0000001=>7
[7,5,4,2,6,1,3,8]=>0000001=>7
[5,4,3,2,8,1,6,7]=>0000000=>8
[6,5,3,2,8,1,4,7]=>0000000=>8
[6,5,4,2,8,1,3,7]=>0000000=>8
[7,5,3,2,8,1,4,6]=>0000000=>8
[7,6,3,2,8,1,4,5]=>0000000=>8
[7,6,4,3,8,1,2,5]=>0000000=>8
[8,5,3,2,6,1,4,7]=>0000000=>8
[8,5,4,2,6,1,3,7]=>0000000=>8
[8,5,3,2,7,1,4,6]=>0000000=>8
[8,6,3,2,7,1,4,5]=>0000000=>8
[8,6,4,3,7,1,2,5]=>0000000=>8
[8,7,3,2,6,1,4,5]=>0000000=>8
[8,7,5,2,6,1,3,4]=>0000000=>8
[8,7,5,3,6,1,2,4]=>0000000=>8
[8,7,6,2,4,1,3,5]=>0000000=>8
[8,7,6,3,5,1,2,4]=>0000000=>8
[4,8,3,7,2,6,1,5]=>0000000=>8
[5,8,3,7,2,6,1,4]=>0000000=>8
[5,8,4,7,2,6,1,3]=>0000000=>8
[5,8,4,7,3,6,1,2]=>0000000=>8
[6,8,3,7,2,5,1,4]=>0000000=>8
[6,8,4,7,2,5,1,3]=>0000000=>8
[6,8,4,7,3,5,1,2]=>0000000=>8
[6,8,5,7,2,4,1,3]=>0000000=>8
[6,8,5,7,3,4,1,2]=>0000000=>8
[7,8,3,6,2,5,1,4]=>0000000=>8
[7,8,4,6,2,5,1,3]=>0000000=>8
[7,8,4,6,3,5,1,2]=>0000000=>8
[7,8,5,6,2,4,1,3]=>0000000=>8
[5,4,3,8,2,7,1,6]=>0000000=>8
[6,4,3,8,2,7,1,5]=>0000000=>8
[6,5,4,8,3,7,1,2]=>0000000=>8
[7,4,3,8,2,6,1,5]=>0000000=>8
[7,5,3,8,2,6,1,4]=>0000000=>8
[7,5,4,8,2,6,1,3]=>0000000=>8
[7,6,3,8,2,5,1,4]=>0000000=>8
[7,6,4,8,2,5,1,3]=>0000000=>8
[7,6,5,8,2,4,1,3]=>0000000=>8
[8,5,3,7,2,6,1,4]=>0000000=>8
[8,5,4,7,2,6,1,3]=>0000000=>8
[8,5,4,7,3,6,1,2]=>0000000=>8
[8,6,3,7,2,5,1,4]=>0000000=>8
[8,6,4,7,2,5,1,3]=>0000000=>8
[8,6,4,7,3,5,1,2]=>0000000=>8
[8,6,5,7,2,4,1,3]=>0000000=>8
[8,7,3,6,2,5,1,4]=>0000000=>8
[8,7,4,6,2,5,1,3]=>0000000=>8
[8,7,4,6,3,5,1,2]=>0000000=>8
[6,5,4,3,2,8,1,7]=>0000000=>8
[7,6,5,4,2,8,1,3]=>0000000=>8
[8,5,4,3,2,7,1,6]=>0000000=>8
[8,6,5,3,2,7,1,4]=>0000000=>8
[8,7,4,3,2,6,1,5]=>0000000=>8
[8,7,5,4,2,6,1,3]=>0000000=>8
[8,7,6,3,2,5,1,4]=>0000000=>8
[8,7,6,4,2,5,1,3]=>0000000=>8
[8,7,6,5,2,4,1,3]=>0000000=>8
[5,1,2,3,8,7,4,6]=>0000000=>8
[8,1,2,3,6,7,4,5]=>0000000=>8
[8,1,2,5,3,4,6,7]=>0000000=>8
[8,1,2,6,3,4,5,7]=>0000000=>8
[6,1,2,5,3,8,4,7]=>0000000=>8
[8,1,2,6,3,7,4,5]=>0000000=>8
[6,1,2,5,3,7,8,4]=>0000000=>8
[4,1,2,8,7,3,5,6]=>0000000=>8
[4,1,2,7,6,3,8,5]=>0000000=>8
[8,1,2,5,6,3,4,7]=>0000000=>8
[8,1,2,7,6,3,4,5]=>0000000=>8
[7,1,2,5,6,3,8,4]=>0000000=>8
[8,1,2,5,6,7,3,4]=>0000000=>8
[3,1,8,2,6,4,5,7]=>0000000=>8
[3,1,7,2,6,4,8,5]=>0000000=>8
[3,1,5,2,8,7,4,6]=>0000000=>8
[3,1,8,2,6,7,4,5]=>0000000=>8
[8,1,4,2,3,5,6,7]=>0000000=>8
[6,1,4,2,3,8,5,7]=>0000000=>8
[8,1,4,2,3,7,5,6]=>0000000=>8
[8,1,5,2,3,4,6,7]=>0000000=>8
[7,1,5,2,3,4,8,6]=>0000000=>8
[6,1,5,2,3,8,4,7]=>0000000=>8
[8,1,5,2,3,7,4,6]=>0000000=>8
[6,1,8,2,3,7,4,5]=>0000000=>8
[6,1,5,2,3,7,8,4]=>0000000=>8
[5,1,4,2,8,3,6,7]=>0000000=>8
[5,1,4,2,7,3,8,6]=>0000000=>8
[7,1,4,2,6,3,8,5]=>0000000=>8
[8,1,5,2,7,3,4,6]=>0000000=>8
[5,1,4,2,8,7,3,6]=>0000000=>8
[8,1,4,2,6,7,3,5]=>0000000=>8
[8,1,5,2,6,7,3,4]=>0000000=>8
[5,1,4,2,6,7,8,3]=>0000000=>8
[3,1,8,6,2,4,5,7]=>0000000=>8
[3,1,8,5,2,7,4,6]=>0000000=>8
[3,1,8,6,2,7,4,5]=>0000000=>8
[8,1,4,5,2,3,6,7]=>0000000=>8
[8,1,4,6,2,3,5,7]=>0000000=>8
[7,1,8,6,2,3,4,5]=>0000000=>8
[7,1,6,5,2,3,8,4]=>0000000=>8
[8,1,4,6,2,7,3,5]=>0000000=>8
[3,1,4,8,6,2,5,7]=>0000000=>8
[3,1,7,5,6,2,8,4]=>0000000=>8
[8,1,4,7,6,2,3,5]=>0000000=>8
[3,1,4,5,8,7,2,6]=>0000000=>8
[3,1,8,5,6,7,2,4]=>0000000=>8
[8,1,4,5,6,7,2,3]=>0000000=>8
[2,8,1,3,4,7,5,6]=>0000000=>8
[2,8,1,3,6,7,4,5]=>0000000=>8
[2,4,1,8,3,7,5,6]=>0000000=>8
[2,8,1,6,3,4,5,7]=>0000000=>8
[2,6,1,5,3,8,4,7]=>0000000=>8
[2,8,1,5,3,7,4,6]=>0000000=>8
[2,6,1,5,3,7,8,4]=>0000000=>8
[2,8,1,7,6,3,4,5]=>0000000=>8
[2,7,1,5,6,3,8,4]=>0000000=>8
[2,4,1,8,6,7,3,5]=>0000000=>8
[7,3,1,2,4,5,8,6]=>0000000=>8
[5,3,1,2,8,4,6,7]=>0000000=>8
[8,3,1,2,6,4,5,7]=>0000000=>8
[5,3,1,2,8,7,4,6]=>0000000=>8
[8,4,1,2,3,7,5,6]=>0000000=>8
[7,6,1,2,3,4,8,5]=>0000000=>8
[5,8,1,2,3,7,4,6]=>0000000=>8
[5,4,1,2,8,3,6,7]=>0000000=>8
[7,4,1,2,6,3,8,5]=>0000000=>8
[5,8,1,2,7,3,4,6]=>0000000=>8
[8,7,1,2,6,3,4,5]=>0000000=>8
[5,7,1,2,6,3,8,4]=>0000000=>8
[8,4,1,2,6,7,3,5]=>0000000=>8
[5,8,1,2,6,7,3,4]=>0000000=>8
[5,4,1,2,6,7,8,3]=>0000000=>8
[4,3,1,6,2,8,5,7]=>0000000=>8
[4,3,1,6,2,7,8,5]=>0000000=>8
[8,3,1,5,2,4,6,7]=>0000000=>8
[8,3,1,6,2,4,5,7]=>0000000=>8
[7,3,1,6,2,4,8,5]=>0000000=>8
[8,3,1,5,2,7,4,6]=>0000000=>8
[8,3,1,6,2,7,4,5]=>0000000=>8
[6,3,1,5,2,7,8,4]=>0000000=>8
[7,4,1,5,2,3,8,6]=>0000000=>8
[8,4,1,6,2,3,5,7]=>0000000=>8
[7,4,1,8,2,3,5,6]=>0000000=>8
[7,4,1,6,2,3,8,5]=>0000000=>8
[8,7,1,6,2,3,4,5]=>0000000=>8
[6,7,1,5,2,3,8,4]=>0000000=>8
[6,8,1,5,2,7,3,4]=>0000000=>8
[6,4,1,5,2,7,8,3]=>0000000=>8
[4,3,1,5,8,2,6,7]=>0000000=>8
[4,3,1,8,6,2,5,7]=>0000000=>8
[4,3,1,8,7,2,5,6]=>0000000=>8
[8,3,1,5,6,2,4,7]=>0000000=>8
[8,3,1,5,7,2,4,6]=>0000000=>8
[7,3,1,5,6,2,8,4]=>0000000=>8
[7,8,1,5,6,2,3,4]=>0000000=>8
[4,3,1,5,6,8,2,7]=>0000000=>8
[8,4,1,5,6,7,2,3]=>0000000=>8
[4,3,1,5,6,7,8,2]=>0000000=>8
[2,3,7,1,6,4,8,5]=>0000000=>8
[2,3,5,1,8,7,4,6]=>0000000=>8
[2,3,8,1,6,7,4,5]=>0000000=>8
[2,8,4,1,3,5,6,7]=>0000000=>8
[2,6,4,1,3,8,5,7]=>0000000=>8
[2,6,4,1,3,7,8,5]=>0000000=>8
[2,7,5,1,3,4,8,6]=>0000000=>8
[2,6,5,1,3,8,4,7]=>0000000=>8
[2,8,5,1,3,7,4,6]=>0000000=>8
[2,6,5,1,3,7,8,4]=>0000000=>8
[2,7,4,1,6,3,8,5]=>0000000=>8
[2,8,5,1,7,3,4,6]=>0000000=>8
[2,7,5,1,6,3,8,4]=>0000000=>8
[6,3,4,1,2,7,8,5]=>0000000=>8
[7,3,5,1,2,4,8,6]=>0000000=>8
[6,3,7,1,2,4,8,5]=>0000000=>8
[6,3,8,1,2,7,4,5]=>0000000=>8
[6,7,4,1,2,3,8,5]=>0000000=>8
[6,8,5,1,2,3,4,7]=>0000000=>8
[8,5,4,1,2,7,3,6]=>0000000=>8
[6,8,4,1,2,7,3,5]=>0000000=>8
[6,8,5,1,2,7,3,4]=>0000000=>8
[6,5,4,1,2,7,8,3]=>0000000=>8
[5,3,4,1,7,2,8,6]=>0000000=>8
[8,3,4,1,7,2,5,6]=>0000000=>8
[7,3,4,1,6,2,8,5]=>0000000=>8
[8,3,5,1,6,2,4,7]=>0000000=>8
[7,3,8,1,6,2,4,5]=>0000000=>8
[7,3,5,1,6,2,8,4]=>0000000=>8
[8,5,4,1,6,2,3,7]=>0000000=>8
[8,5,4,1,7,2,3,6]=>0000000=>8
[7,8,4,1,6,2,3,5]=>0000000=>8
[7,8,5,1,6,2,3,4]=>0000000=>8
[5,3,4,1,6,7,8,2]=>0000000=>8
[2,3,7,6,1,4,8,5]=>0000000=>8
[2,3,6,5,1,8,4,7]=>0000000=>8
[2,3,6,5,1,7,8,4]=>0000000=>8
[2,7,4,8,1,3,5,6]=>0000000=>8
[2,7,4,6,1,3,8,5]=>0000000=>8
[2,7,6,5,1,3,8,4]=>0000000=>8
[2,6,4,5,1,8,3,7]=>0000000=>8
[2,8,4,5,1,7,3,6]=>0000000=>8
[2,8,4,6,1,7,3,5]=>0000000=>8
[2,8,6,5,1,7,3,4]=>0000000=>8
[7,3,8,5,1,2,4,6]=>0000000=>8
[7,3,8,6,1,2,4,5]=>0000000=>8
[7,3,6,5,1,2,8,4]=>0000000=>8
[8,3,6,5,1,7,2,4]=>0000000=>8
[8,6,4,5,1,7,2,3]=>0000000=>8
[2,3,8,5,7,1,4,6]=>0000000=>8
[2,3,7,5,6,1,8,4]=>0000000=>8
[2,8,4,7,6,1,3,5]=>0000000=>8
[2,8,7,5,6,1,3,4]=>0000000=>8
[8,3,7,5,6,1,2,4]=>0000000=>8
[2,8,4,5,6,7,1,3]=>0000000=>8
[9,1,2,3,4,5,6,7,8]=>00000000=>9
[8,1,2,3,4,5,6,9,7]=>00000000=>9
[7,1,2,3,4,5,9,6,8]=>00000000=>9
[7,1,2,3,4,5,8,9,6]=>00000000=>9
[6,1,2,3,4,7,8,9,5]=>00000000=>9
[5,1,2,3,9,4,6,7,8]=>00000000=>9
[9,1,2,3,6,4,5,7,8]=>00000000=>9
[5,1,2,3,6,7,8,9,4]=>00000000=>9
[9,1,2,5,3,4,6,7,8]=>00000000=>9
[4,1,2,5,6,7,8,9,3]=>00000000=>9
[3,1,9,2,4,5,6,7,8]=>00000000=>9
[3,1,5,2,7,4,9,6,8]=>00000000=>9
[3,1,4,8,9,2,5,6,7]=>00000000=>9
[3,1,4,5,6,7,9,2,8]=>00000000=>9
[3,1,4,5,6,7,8,9,2]=>00000000=>9
[2,9,1,3,4,5,6,7,8]=>00000000=>9
[2,5,1,3,6,7,8,9,4]=>00000000=>9
[2,4,1,6,3,8,5,9,7]=>00000000=>9
[9,3,1,2,4,5,6,7,8]=>00000000=>9
[9,7,1,2,3,4,5,6,8]=>00000000=>9
[8,9,1,2,3,4,5,6,7]=>00000000=>9
[8,7,1,2,3,4,5,9,6]=>00000000=>9
[9,6,1,2,3,4,8,5,7]=>00000000=>9
[7,6,1,2,3,4,8,9,5]=>00000000=>9
[5,6,1,2,3,7,8,9,4]=>00000000=>9
[5,4,1,2,6,7,8,9,3]=>00000000=>9
[9,4,1,6,2,8,3,5,7]=>00000000=>9
[8,9,1,5,6,7,2,3,4]=>00000000=>9
[4,3,1,5,6,7,8,9,2]=>00000000=>9
[2,3,5,1,6,7,8,9,4]=>00000000=>9
[2,6,7,1,3,4,8,9,5]=>00000000=>9
[6,3,4,1,2,7,8,9,5]=>00000000=>9
[9,7,8,1,2,3,4,5,6]=>00000000=>9
[6,7,8,1,2,3,4,9,5]=>00000000=>9
[9,8,5,1,7,2,3,4,6]=>00000000=>9
[9,5,4,1,8,7,2,3,6]=>00000000=>9
[2,7,8,9,1,3,4,5,6]=>00000000=>9
[7,3,4,8,1,2,5,9,6]=>00000000=>9
[7,3,8,9,1,2,4,5,6]=>00000000=>9
[8,9,4,5,6,1,2,3,7]=>00000000=>9
[2,3,4,5,6,7,9,1,8]=>00000000=>9
[9,3,4,5,6,7,8,1,2]=>00000000=>9
[2,3,4,5,6,7,8,9,1]=>00000000=>9
[3,5,2,6,1,4,8,7]=>0000010=>6
[3,5,2,6,4,1,8,7]=>0000010=>6
[3,5,2,7,4,8,1,6]=>0000000=>8
[3,5,2,7,4,8,6,1]=>0000000=>8
[4,5,7,2,3,8,6,1]=>0000000=>8
[4,5,7,2,3,8,1,6]=>0000000=>8
[4,5,6,2,3,1,8,7]=>0000010=>6
[4,5,6,2,1,3,8,7]=>0000010=>6
[3,5,1,6,4,2,8,7]=>0000010=>6
[4,5,6,1,3,2,8,7]=>0000010=>6
[4,5,6,3,1,2,8,7]=>0000010=>6
[4,5,7,3,2,8,1,6]=>0000000=>8
[4,5,7,3,2,8,6,1]=>0000000=>8
[4,6,7,3,8,2,5,1]=>0000000=>8
[4,6,7,3,8,2,1,5]=>0000000=>8
[4,6,7,3,8,1,2,5]=>0000000=>8
[4,5,7,3,1,8,2,6]=>0000000=>8
[4,5,7,1,3,8,2,6]=>0000000=>8
[3,5,1,7,4,8,2,6]=>0000000=>8
[2,1,5,7,4,8,3,6]=>0100000=>2
[2,1,5,7,4,8,6,3]=>0100000=>2
[3,5,1,7,4,8,6,2]=>0000000=>8
[4,5,7,1,3,8,6,2]=>0000000=>8
[4,5,7,3,1,8,6,2]=>0000000=>8
[4,6,7,3,8,1,5,2]=>0000000=>8
[4,6,7,3,8,5,1,2]=>0000000=>8
[4,6,7,3,8,5,2,1]=>0000000=>8
[5,6,7,8,3,1,4,2]=>0000000=>8
[5,6,7,8,1,3,4,2]=>0000000=>8
[4,6,7,1,8,3,5,2]=>0000000=>8
[3,6,1,7,8,4,5,2]=>0000000=>8
[2,1,6,7,8,4,5,3]=>0100000=>2
[2,1,6,7,8,4,3,5]=>0100000=>2
[3,6,1,7,8,4,2,5]=>0000000=>8
[4,6,7,1,8,3,2,5]=>0000000=>8
[5,6,7,8,1,3,2,4]=>0000000=>8
[4,5,7,2,1,8,3,6]=>0000000=>8
[4,6,7,2,8,1,3,5]=>0000000=>8
[4,6,7,2,8,3,1,5]=>0000000=>8
[4,6,7,2,8,3,5,1]=>0000000=>8
[3,6,2,7,8,4,5,1]=>0000000=>8
[3,6,2,7,8,4,1,5]=>0000000=>8
[3,6,2,7,8,1,4,5]=>0000000=>8
[3,5,2,7,1,8,4,6]=>0000000=>8
[3,4,2,1,7,8,5,6]=>0001000=>4
[3,4,1,2,7,8,6,5]=>0001000=>4
[3,5,2,7,1,8,6,4]=>0000000=>8
[3,6,2,7,8,1,5,4]=>0000000=>8
[3,6,2,7,8,5,1,4]=>0000000=>8
[3,6,2,7,8,5,4,1]=>0000000=>8
[4,6,7,2,8,5,3,1]=>0000000=>8
[4,6,7,2,8,5,1,3]=>0000000=>8
[4,6,7,2,8,1,5,3]=>0000000=>8
[4,5,7,2,1,8,6,3]=>0000000=>8
[4,5,7,1,2,8,6,3]=>0000000=>8
[3,5,1,7,2,8,6,4]=>0000000=>8
[2,1,5,7,3,8,6,4]=>0100000=>2
[2,1,6,7,8,3,5,4]=>0100000=>2
[3,6,1,7,8,2,5,4]=>0000000=>8
[4,6,7,1,8,2,5,3]=>0000000=>8
[5,6,7,8,1,2,4,3]=>0000000=>8
[5,6,7,8,2,1,4,3]=>0000000=>8
[5,6,7,8,2,4,1,3]=>0000000=>8
[5,6,7,8,2,4,3,1]=>0000000=>8
[5,6,7,8,1,4,2,3]=>0000000=>8
[4,6,7,1,8,5,2,3]=>0000000=>8
[3,6,1,7,8,5,2,4]=>0000000=>8
[2,1,6,7,8,5,3,4]=>0100000=>2
[3,6,1,7,8,5,4,2]=>0000000=>8
[4,6,7,1,8,5,3,2]=>0000000=>8
[5,6,7,8,1,4,3,2]=>0000000=>8
[5,6,7,8,4,1,3,2]=>0000000=>8
[3,5,2,7,4,9,6,10,8,1]=>000000000=>10
[4,6,8,3,9,5,10,7,2,1]=>000000000=>10
[5,7,8,9,4,10,6,3,2,1]=>000000000=>10
[6,7,8,9,10,1,4,5,3,2]=>000000000=>10
[6,7,8,9,10,1,4,5,2,3]=>000000000=>10
[6,7,8,9,10,4,3,2,1,5]=>000000000=>10
[6,7,8,9,10,1,3,4,5,2]=>000000000=>10
[6,7,8,9,10,3,4,1,2,5]=>000000000=>10
[6,7,8,9,10,3,4,2,1,5]=>000000000=>10
[6,7,8,9,10,2,3,4,1,5]=>000000000=>10
[6,7,8,9,10,1,5,4,3,2]=>000000000=>10
[6,7,8,9,10,5,4,3,2,1]=>000000000=>10
[6,5,8,7,3,4,1,2]=>0000000=>8
[3,6,7,4,5,8,1,2]=>0000000=>8
[2,6,7,4,5,1,8,3]=>0000000=>8
[1,6,7,4,5,2,3,8]=>1000001=>1
[1,5,4,7,6,2,3,8]=>1000001=>1
[2,5,4,7,6,1,8,3]=>0000000=>8
[3,5,4,7,6,8,1,2]=>0000000=>8
[4,5,3,7,8,6,1,2]=>0000000=>8
[5,4,3,8,7,6,1,2]=>0000000=>8
[6,4,8,3,7,5,1,2]=>0000000=>8
[6,3,8,4,5,7,1,2]=>0000000=>8
[5,3,4,8,6,7,1,2]=>0000000=>8
[4,3,5,6,8,7,1,2]=>0000000=>8
[3,2,5,6,1,8,7,4]=>0000000=>8
[4,2,5,6,8,1,7,3]=>0000000=>8
[5,2,4,8,6,1,7,3]=>0000000=>8
[6,2,8,4,5,1,7,3]=>0000000=>8
[7,8,2,4,5,1,6,3]=>0000000=>8
[7,8,1,4,5,2,3,6]=>0000000=>8
[6,1,8,4,5,2,3,7]=>0000000=>8
[5,1,4,8,6,2,3,7]=>0000000=>8
[4,1,3,2,8,6,5,7]=>0001000=>4
[5,1,3,8,2,6,4,7]=>0000000=>8
[6,1,8,3,2,5,4,7]=>0000000=>8
[7,8,1,3,2,5,4,6]=>0000000=>8
[7,8,2,3,1,5,6,4]=>0000000=>8
[6,2,8,3,1,5,7,4]=>0000000=>8
[5,2,3,8,1,6,7,4]=>0000000=>8
[6,3,8,2,1,7,5,4]=>0000000=>8
[7,8,3,2,1,6,5,4]=>0000000=>8
[7,8,4,2,6,1,5,3]=>0000000=>8
[5,4,2,8,7,1,6,3]=>0000000=>8
[4,5,2,7,8,1,6,3]=>0000000=>8
[2,5,3,7,1,6,8,4]=>0000000=>8
[1,5,3,7,2,6,4,8]=>1000001=>1
[1,6,7,3,2,5,4,8]=>1000001=>1
[2,6,7,3,1,5,8,4]=>0000000=>8
[3,6,7,2,1,8,5,4]=>0000000=>8
[7,8,5,6,2,1,4,3]=>0000000=>8
[6,5,8,7,1,2,3,4]=>0000000=>8
[5,4,1,8,7,2,3,6]=>0000000=>8
[6,4,8,1,7,2,3,5]=>0000000=>8
[7,8,3,1,2,6,4,5]=>0000000=>8
[5,3,1,8,2,7,4,6]=>0000000=>8
[4,3,1,2,8,7,5,6]=>0001000=>4
[4,2,1,3,8,5,7,6]=>0001000=>4
[5,2,1,8,3,4,7,6]=>0000000=>8
[6,2,8,1,3,4,7,5]=>0000000=>8
[7,8,2,1,3,4,6,5]=>0000000=>8
[6,3,1,5,2,4,8,7]=>0000010=>6
[7,4,5,1,2,8,3,6]=>0000000=>8
[6,4,5,1,2,3,8,7]=>0000010=>6
[5,4,6,1,2,3,8,7]=>0000010=>6
[4,6,5,1,2,3,8,7]=>0000010=>6
[5,6,4,1,2,3,8,7]=>0000010=>6
[6,5,4,1,2,3,8,7]=>0000010=>6
[7,5,4,1,2,8,3,6]=>0000000=>8
[8,6,4,1,7,2,3,5]=>0000000=>8
[7,6,4,1,8,2,3,5]=>0000000=>8
[6,7,4,1,8,2,3,5]=>0000000=>8
[2,1,7,5,3,8,4,6]=>0100000=>2
[2,1,8,5,3,7,4,6]=>0100000=>2
[3,8,1,5,2,7,4,6]=>0000000=>8
[8,7,4,1,6,2,3,5]=>0000000=>8
[5,8,6,7,1,2,3,4]=>0000000=>8
[3,8,1,6,7,2,4,5]=>0000000=>8
[2,1,8,6,7,3,4,5]=>0100000=>2
[3,7,1,6,8,2,4,5]=>0000000=>8
[5,7,6,8,1,2,3,4]=>0000000=>8
[6,4,7,1,8,2,3,5]=>0000000=>8
[7,4,6,1,8,2,3,5]=>0000000=>8
[8,4,6,1,7,2,3,5]=>0000000=>8
[8,3,1,6,7,2,4,5]=>0000000=>8
[7,3,1,6,8,2,4,5]=>0000000=>8
[6,3,1,7,8,2,4,5]=>0000000=>8
[4,3,1,2,7,8,5,6]=>0001000=>4
[2,1,4,3,8,7,5,6]=>0101000=>2
[3,4,1,2,8,7,5,6]=>0001000=>4
[6,3,1,8,7,2,4,5]=>0000000=>8
[7,4,8,1,6,2,3,5]=>0000000=>8
[5,4,8,1,2,7,3,6]=>0000000=>8
[4,5,8,1,2,7,3,6]=>0000000=>8
[3,5,1,8,2,7,4,6]=>0000000=>8
[2,1,5,8,3,7,4,6]=>0100000=>2
[3,6,1,8,7,2,4,5]=>0000000=>8
[5,6,8,7,1,2,3,4]=>0000000=>8
[7,5,8,6,1,2,3,4]=>0000000=>8
[8,5,7,6,1,2,3,4]=>0000000=>8
[5,7,8,6,1,2,3,4]=>0000000=>8
[2,1,7,8,6,3,4,5]=>0100000=>2
[2,1,8,7,6,3,4,5]=>0100000=>2
[3,8,1,7,6,2,4,5]=>0000000=>8
[5,8,7,6,1,2,3,4]=>0000000=>8
[6,8,7,5,1,2,3,4]=>0000000=>8
[6,4,7,3,8,5,1,2]=>0000000=>8
[6,4,7,3,5,8,1,2]=>0000000=>8
[6,4,7,2,5,1,8,3]=>0000000=>8
[5,4,2,7,6,1,3,8]=>0000001=>7
[5,4,2,7,6,1,8,3]=>0000000=>8
[5,4,3,7,6,8,1,2]=>0000000=>8
[5,4,3,7,8,6,1,2]=>0000000=>8
[6,4,8,3,5,7,1,2]=>0000000=>8
[5,4,3,8,6,7,1,2]=>0000000=>8
[5,4,3,6,8,7,1,2]=>0000000=>8
[5,4,2,6,7,1,8,3]=>0000000=>8
[5,4,2,6,7,1,3,8]=>0000001=>7
[5,3,2,6,1,7,4,8]=>0000001=>7
[5,3,2,6,1,7,8,4]=>0000000=>8
[5,3,2,6,1,8,7,4]=>0000000=>8
[5,4,2,6,8,1,7,3]=>0000000=>8
[5,4,2,8,6,1,7,3]=>0000000=>8
[6,4,8,2,5,1,7,3]=>0000000=>8
[7,8,4,2,5,1,6,3]=>0000000=>8
[7,8,4,2,5,1,3,6]=>0000000=>8
[5,4,2,8,6,1,3,7]=>0000000=>8
[5,3,2,6,1,8,4,7]=>0000000=>8
[4,3,2,1,6,8,5,7]=>0001000=>4
[4,3,2,1,8,6,5,7]=>0001000=>4
[5,3,2,8,1,6,4,7]=>0000000=>8
[6,3,8,2,1,5,4,7]=>0000000=>8
[7,8,3,2,1,5,4,6]=>0000000=>8
[7,8,3,2,1,5,6,4]=>0000000=>8
[6,3,8,2,1,5,7,4]=>0000000=>8
[5,3,2,8,1,6,7,4]=>0000000=>8
[5,4,2,7,8,1,6,3]=>0000000=>8
[5,3,2,7,1,8,6,4]=>0000000=>8
[5,3,2,7,1,6,8,4]=>0000000=>8
[5,3,2,7,1,6,4,8]=>0000001=>7
[6,3,7,2,1,5,4,8]=>0000001=>7
[6,3,7,2,1,5,8,4]=>0000000=>8
[6,3,7,2,1,8,5,4]=>0000000=>8
[6,4,7,2,8,1,5,3]=>0000000=>8
[6,5,7,8,2,1,4,3]=>0000000=>8
[6,5,8,7,2,1,3,4]=>0000000=>8
[6,3,7,2,1,8,4,5]=>0000000=>8
[6,3,7,2,1,4,8,5]=>0000000=>8
[6,3,7,2,1,4,5,8]=>0000001=>7
[5,3,2,7,1,4,8,6]=>0000000=>8
[5,4,2,8,7,1,3,6]=>0000000=>8
[7,8,4,2,6,1,3,5]=>0000000=>8
[7,8,3,2,1,6,4,5]=>0000000=>8
[6,3,8,2,1,7,4,5]=>0000000=>8
[5,3,2,8,1,7,4,6]=>0000000=>8
[4,3,2,1,8,7,5,6]=>0001000=>4
[4,3,2,1,7,5,8,6]=>0001000=>4
[4,3,2,1,7,5,6,8]=>0001001=>4
[4,3,2,1,8,5,7,6]=>0001000=>4
[5,3,2,8,1,4,7,6]=>0000000=>8
[6,3,8,2,1,4,7,5]=>0000000=>8
[7,8,3,2,1,4,6,5]=>0000000=>8
[6,3,8,2,1,4,5,7]=>0000000=>8
[4,3,2,1,8,5,6,7]=>0001000=>4
[4,3,2,1,5,8,6,7]=>0001100=>4
[7,8,5,6,1,2,4,3]=>0000000=>8
[7,8,4,1,6,2,5,3]=>0000000=>8
[7,8,1,4,6,2,5,3]=>0000000=>8
[6,1,8,4,7,2,5,3]=>0000000=>8
[1,6,8,4,7,2,5,3]=>1000000=>1
[1,6,8,3,2,7,5,4]=>1000000=>1
[6,1,8,3,2,7,5,4]=>0000000=>8
[7,8,1,3,2,6,5,4]=>0000000=>8
[7,8,3,1,2,6,5,4]=>0000000=>8
[7,8,3,4,6,5,1,2]=>0000000=>8
[7,8,2,4,6,1,5,3]=>0000000=>8
[7,8,2,3,1,6,5,4]=>0000000=>8
[7,8,2,1,3,6,5,4]=>0000000=>8
[7,8,1,2,3,6,5,4]=>0000000=>8
[6,1,8,2,3,7,5,4]=>0000000=>8
[1,6,8,2,3,7,5,4]=>1000000=>1
[1,5,2,8,3,7,6,4]=>1000000=>1
[5,1,2,8,3,7,6,4]=>0000000=>8
[5,2,1,8,3,7,6,4]=>0000000=>8
[6,2,8,1,3,7,5,4]=>0000000=>8
[6,2,8,3,1,7,5,4]=>0000000=>8
[6,2,8,4,7,1,5,3]=>0000000=>8
[6,3,8,4,7,5,1,2]=>0000000=>8
[3,6,8,4,7,5,1,2]=>0000000=>8
[2,6,8,4,7,1,5,3]=>0000000=>8
[2,6,8,3,1,7,5,4]=>0000000=>8
[2,6,8,1,3,7,5,4]=>0000000=>8
[2,5,1,8,3,7,6,4]=>0000000=>8
[1,2,5,8,3,7,6,4]=>1100000=>1
[2,4,1,3,8,7,6,5]=>0001000=>4
[2,5,3,8,1,7,6,4]=>0000000=>8
[2,5,4,8,7,1,6,3]=>0000000=>8
[3,5,4,8,7,6,1,2]=>0000000=>8
[5,3,4,8,7,6,1,2]=>0000000=>8
[5,2,4,8,7,1,6,3]=>0000000=>8
[5,2,3,8,1,7,6,4]=>0000000=>8
[4,2,1,3,8,7,6,5]=>0001000=>4
[4,1,2,3,8,7,6,5]=>0001000=>4
[1,4,2,3,8,7,6,5]=>1001000=>1
[4,1,3,2,8,7,6,5]=>0001000=>4
[4,3,1,2,8,7,6,5]=>0001000=>4
[6,3,8,1,2,7,5,4]=>0000000=>8
[5,3,1,8,2,7,6,4]=>0000000=>8
[5,1,3,8,2,7,6,4]=>0000000=>8
[1,5,3,8,2,7,6,4]=>1000000=>1
[1,5,4,8,7,2,6,3]=>1000000=>1
[5,1,4,8,7,2,6,3]=>0000000=>8
[5,4,1,8,7,2,6,3]=>0000000=>8
[6,4,8,1,7,2,5,3]=>0000000=>8
[6,5,8,7,1,2,4,3]=>0000000=>8
[5,6,8,7,3,4,1,2]=>0000000=>8
[5,6,8,7,2,1,4,3]=>0000000=>8
[4,5,1,8,7,2,6,3]=>0000000=>8
[4,1,5,8,7,2,6,3]=>0000000=>8
[1,4,5,8,7,2,6,3]=>1000000=>1
[1,3,5,8,2,7,6,4]=>1000000=>1
[3,1,5,8,2,7,6,4]=>0000000=>8
[3,6,8,1,2,7,5,4]=>0000000=>8
[3,6,8,2,1,7,5,4]=>0000000=>8
[4,6,8,2,7,1,5,3]=>0000000=>8
[4,6,8,3,7,5,1,2]=>0000000=>8
[4,5,3,8,7,6,1,2]=>0000000=>8
[4,5,2,8,7,1,6,3]=>0000000=>8
[3,5,2,8,1,7,6,4]=>0000000=>8
[3,1,4,2,8,7,6,5]=>0001000=>4
[3,1,2,4,8,7,6,5]=>0011000=>3
[3,2,5,8,1,7,6,4]=>0000000=>8
[4,2,5,8,7,1,6,3]=>0000000=>8
[4,3,5,8,7,6,1,2]=>0000000=>8
[3,4,5,8,7,6,1,2]=>0000000=>8
[2,4,5,8,7,1,6,3]=>0000000=>8
[2,3,5,8,1,7,6,4]=>0000000=>8
[4,1,3,2,6,5,8,7]=>0001010=>4
[7,1,3,2,5,4,8,6]=>0000000=>8
[8,1,3,2,5,4,7,6]=>0000000=>8
[8,1,4,2,5,3,7,6]=>0000000=>8
[7,1,4,2,5,3,8,6]=>0000000=>8
[5,1,4,2,6,3,8,7]=>0000010=>6
[2,1,6,3,5,4,8,7]=>0100010=>2
[3,1,6,2,5,4,8,7]=>0000010=>6
[4,1,6,2,5,3,8,7]=>0000010=>6
[5,2,7,1,4,3,8,6]=>0000000=>8
[5,2,8,1,4,3,7,6]=>0000000=>8
[6,2,8,1,4,3,7,5]=>0000000=>8
[6,2,7,1,4,3,8,5]=>0000000=>8
[4,1,7,2,5,3,8,6]=>0000000=>8
[3,1,7,2,5,4,8,6]=>0000000=>8
[2,1,7,3,5,4,8,6]=>0100000=>2
[2,1,8,3,5,4,7,6]=>0100000=>2
[3,1,8,2,5,4,7,6]=>0000000=>8
[4,1,8,2,5,3,7,6]=>0000000=>8
[8,2,6,1,4,3,7,5]=>0000000=>8
[7,1,4,3,8,2,6,5]=>0000000=>8
[8,1,5,3,7,2,6,4]=>0000000=>8
[7,1,5,3,8,2,6,4]=>0000000=>8
[5,1,8,2,6,3,7,4]=>0000000=>8
[4,1,8,2,6,3,7,5]=>0000000=>8
[3,1,8,2,6,4,7,5]=>0000000=>8
[2,1,8,3,6,4,7,5]=>0100000=>2
[2,1,7,3,6,4,8,5]=>0100000=>2
[4,1,7,2,6,3,8,5]=>0000000=>8
[5,1,7,2,6,3,8,4]=>0000000=>8
[6,2,7,1,5,3,8,4]=>0000000=>8
[8,1,5,2,6,3,7,4]=>0000000=>8
[6,1,4,2,7,3,8,5]=>0000000=>8
[8,1,4,2,6,3,7,5]=>0000000=>8
[8,1,3,2,6,4,7,5]=>0000000=>8
[7,1,3,2,6,4,8,5]=>0000000=>8
[6,1,3,2,7,4,8,5]=>0000000=>8
[5,1,3,2,7,4,8,6]=>0000000=>8
[2,1,4,3,8,5,7,6]=>0101000=>2
[3,1,4,2,8,5,7,6]=>0001000=>4
[4,1,3,2,8,5,7,6]=>0001000=>4
[5,1,3,2,8,4,7,6]=>0000000=>8
[6,1,3,2,8,4,7,5]=>0000000=>8
[8,4,7,1,3,2,6,5]=>0000000=>8
[7,4,8,1,3,2,6,5]=>0000000=>8
[7,3,8,1,4,2,6,5]=>0000000=>8
[8,3,7,1,4,2,6,5]=>0000000=>8
[6,1,4,2,8,3,7,5]=>0000000=>8
[5,1,4,2,8,3,7,6]=>0000000=>8
[4,1,5,2,8,3,7,6]=>0000000=>8
[3,1,5,2,8,4,7,6]=>0000000=>8
[2,1,5,3,8,4,7,6]=>0100000=>2
[2,1,6,3,8,4,7,5]=>0100000=>2
[3,1,6,2,8,4,7,5]=>0000000=>8
[4,1,6,2,8,3,7,5]=>0000000=>8
[5,1,6,2,8,3,7,4]=>0000000=>8
[6,1,5,2,8,3,7,4]=>0000000=>8
[6,2,7,3,8,1,5,4]=>0000000=>8
[6,2,8,3,7,1,5,4]=>0000000=>8
[8,3,7,2,6,1,5,4]=>0000000=>8
[5,1,8,3,7,2,6,4]=>0000000=>8
[4,1,8,3,7,2,6,5]=>0000000=>8
[3,1,8,4,7,2,6,5]=>0000000=>8
[2,1,8,4,7,3,6,5]=>0100000=>2
[3,1,7,4,8,2,6,5]=>0000000=>8
[5,1,7,3,8,2,6,4]=>0000000=>8
[7,3,8,2,6,1,5,4]=>0000000=>8
[8,2,6,3,7,1,5,4]=>0000000=>8
[7,2,6,3,8,1,5,4]=>0000000=>8
[3,4,2,6,8,1,5,7]=>0000000=>8
[5,3,6,2,8,1,4,7]=>0000000=>8
[5,3,6,2,4,8,1,7]=>0000000=>8
[5,7,3,8,2,4,1,6]=>0000000=>8
[5,7,3,8,2,4,6,1]=>0000000=>8
[7,4,2,5,8,3,6,1]=>0000000=>8
[7,4,2,5,8,3,1,6]=>0000000=>8
[4,5,2,6,3,8,1,7]=>0000000=>8
[4,5,2,1,6,8,3,7]=>0000000=>8
[5,3,1,6,8,2,4,7]=>0000000=>8
[5,6,2,8,1,3,4,7]=>0000000=>8
[3,5,6,1,4,8,2,7]=>0000000=>8
[4,1,5,6,3,8,2,7]=>0000000=>8
[4,5,1,6,3,8,2,7]=>0000000=>8
[4,5,6,3,2,8,1,7]=>0000000=>8
[7,4,5,3,8,2,1,6]=>0000000=>8
[7,4,5,3,8,2,6,1]=>0000000=>8
[6,7,4,8,3,2,5,1]=>0000000=>8
[6,7,4,8,3,2,1,5]=>0000000=>8
[6,7,4,1,8,3,2,5]=>0000000=>8
[7,4,5,3,1,8,2,6]=>0000000=>8
[4,7,1,5,8,3,2,6]=>0000000=>8
[5,3,7,8,1,4,2,6]=>0000000=>8
[7,5,8,2,4,6,1,3]=>0000000=>8
[7,3,5,8,1,4,6,2]=>0000000=>8
[4,5,1,7,8,3,6,2]=>0000000=>8
[7,4,1,5,8,3,6,2]=>0000000=>8
[6,7,4,3,8,1,5,2]=>0000000=>8
[6,7,4,8,3,1,5,2]=>0000000=>8
[6,7,4,8,3,5,2,1]=>0000000=>8
[5,6,7,3,8,4,2,1]=>0000000=>8
[5,6,7,3,1,8,4,2]=>0000000=>8
[5,6,1,7,3,8,4,2]=>0000000=>8
[5,1,6,7,3,8,4,2]=>0000000=>8
[6,4,7,1,8,3,5,2]=>0000000=>8
[6,7,8,3,1,4,5,2]=>0000000=>8
[6,7,2,8,4,5,1,3]=>0000000=>8
[6,7,2,8,4,1,3,5]=>0000000=>8
[6,1,7,4,8,3,2,5]=>0000000=>8
[5,1,6,7,3,2,8,4]=>0000000=>8
[5,6,1,7,3,2,8,4]=>0000000=>8
[5,6,7,3,2,1,8,4]=>0000000=>8
[5,6,7,3,2,8,4,1]=>0000000=>8
[5,6,2,7,3,8,4,1]=>0000000=>8
[5,6,2,7,3,1,8,4]=>0000000=>8
[5,6,2,1,7,3,8,4]=>0000000=>8
[6,1,7,4,2,8,3,5]=>0000000=>8
[6,7,2,1,8,3,4,5]=>0000000=>8
[7,5,8,2,1,3,4,6]=>0000000=>8
[5,7,3,1,8,2,4,6]=>0000000=>8
[4,7,1,5,2,8,3,6]=>0000000=>8
[7,4,2,5,1,8,3,6]=>0000000=>8
[6,7,4,2,1,8,3,5]=>0000000=>8
[6,7,4,2,8,3,1,5]=>0000000=>8
[6,7,4,2,8,3,5,1]=>0000000=>8
[3,6,7,2,8,4,5,1]=>0000000=>8
[3,6,7,2,8,4,1,5]=>0000000=>8
[3,6,7,2,1,8,4,5]=>0000000=>8
[5,7,3,8,2,1,4,6]=>0000000=>8
[3,4,7,8,2,1,5,6]=>0000000=>8
[3,7,8,1,4,6,2,5]=>0000000=>8
[3,4,7,8,2,6,1,5]=>0000000=>8
[5,7,3,8,2,6,1,4]=>0000000=>8
[3,6,7,2,8,5,1,4]=>0000000=>8
[3,6,7,8,5,2,1,4]=>0000000=>8
[3,6,7,8,5,2,4,1]=>0000000=>8
[6,4,7,8,2,5,3,1]=>0000000=>8
[6,4,7,8,2,1,5,3]=>0000000=>8
[4,1,5,7,8,2,6,3]=>0000000=>8
[5,3,7,8,1,6,2,4]=>0000000=>8
[6,7,2,8,5,1,3,4]=>0000000=>8
[6,4,1,7,8,2,5,3]=>0000000=>8
[5,1,6,2,7,8,4,3]=>0000000=>8
[5,6,2,1,7,8,4,3]=>0000000=>8
[5,6,2,7,1,8,4,3]=>0000000=>8
[5,6,2,7,8,4,3,1]=>0000000=>8
[5,6,7,2,8,4,3,1]=>0000000=>8
[5,6,7,2,1,8,4,3]=>0000000=>8
[5,6,1,7,2,8,4,3]=>0000000=>8
[5,1,6,7,2,8,4,3]=>0000000=>8
[6,4,7,1,8,2,5,3]=>0000000=>8
[3,6,7,1,8,5,2,4]=>0000000=>8
[6,7,8,5,2,4,1,3]=>0000000=>8
[6,7,8,3,5,1,4,2]=>0000000=>8
[4,6,7,8,1,5,3,2]=>0000000=>8
[5,1,6,7,8,4,3,2]=>0000000=>8
[5,6,1,7,8,4,3,2]=>0000000=>8
[5,6,7,1,8,4,3,2]=>0000000=>8
[8,6,1,3,4,2,5,7]=>0000000=>8
[8,3,2,5,1,6,4,7]=>0000000=>8
[8,5,3,6,2,4,1,7]=>0000000=>8
[5,3,2,7,4,1,8,6]=>0000000=>8
[7,5,3,8,2,4,6,1]=>0000000=>8
[7,2,4,5,8,3,6,1]=>0000000=>8
[2,4,5,3,7,1,8,6]=>0000000=>8
[8,2,4,5,6,3,1,7]=>0000000=>8
[8,2,4,5,6,1,3,7]=>0000000=>8
[8,1,2,4,5,6,3,7]=>0000000=>8
[8,2,5,1,3,6,4,7]=>0000000=>8
[8,5,6,2,1,4,3,7]=>0000000=>8
[8,5,3,6,4,1,2,7]=>0000000=>8
[8,4,1,5,6,3,2,7]=>0000000=>8
[8,1,4,5,6,3,2,7]=>0000000=>8
[4,5,3,7,2,1,8,6]=>0000000=>8
[7,4,5,8,3,2,6,1]=>0000000=>8
[4,3,6,7,2,8,5,1]=>0000000=>8
[4,3,6,7,2,8,1,5]=>0000000=>8
[1,4,3,6,7,2,8,5]=>1000000=>1
[4,5,3,7,1,8,2,6]=>0000000=>8
[4,1,5,3,7,2,8,6]=>0000000=>8
[5,3,4,7,1,2,8,6]=>0000000=>8
[7,5,8,2,1,4,6,3]=>0000000=>8
[7,5,3,8,4,1,6,2]=>0000000=>8
[7,4,5,8,3,6,1,2]=>0000000=>8
[4,3,6,7,8,1,5,2]=>0000000=>8
[1,6,4,7,8,3,5,2]=>1000000=>1
[6,4,7,8,3,5,2,1]=>0000000=>8
[3,5,6,7,8,4,1,2]=>0000000=>8
[3,1,5,6,7,8,4,2]=>0000000=>8
[4,6,1,7,8,3,5,2]=>0000000=>8
[3,6,7,1,4,8,5,2]=>0000000=>8
[6,2,4,1,7,8,5,3]=>0000000=>8
[2,6,7,1,4,8,3,5]=>0000000=>8
[4,3,6,7,8,1,2,5]=>0000000=>8
[1,5,3,6,7,8,2,4]=>1000000=>1
[3,5,6,7,8,2,1,4]=>0000000=>8
[3,5,6,7,8,2,4,1]=>0000000=>8
[5,2,7,1,3,8,4,6]=>0000000=>8
[5,3,1,7,8,2,4,6]=>0000000=>8
[4,5,2,7,8,1,3,6]=>0000000=>8
[4,2,6,7,8,3,1,5]=>0000000=>8
[4,2,6,7,8,3,5,1]=>0000000=>8
[3,6,2,7,4,8,5,1]=>0000000=>8
[3,6,2,7,4,8,1,5]=>0000000=>8
[3,2,1,6,4,7,8,5]=>0010000=>3
[3,7,4,2,1,5,8,6]=>0000000=>8
[1,7,3,4,2,5,8,6]=>1000000=>1
[4,7,2,1,3,5,8,6]=>0000000=>8
[7,8,4,2,1,3,6,5]=>0000000=>8
[7,8,1,3,4,2,6,5]=>0000000=>8
[7,8,3,4,2,1,6,5]=>0000000=>8
[6,3,2,7,1,8,5,4]=>0000000=>8
[3,6,2,7,1,8,5,4]=>0000000=>8
[6,7,3,8,2,5,4,1]=>0000000=>8
[6,4,7,8,5,2,3,1]=>0000000=>8
[2,6,4,7,8,1,5,3]=>0000000=>8
[4,6,2,7,8,1,5,3]=>0000000=>8
[7,4,5,8,6,2,1,3]=>0000000=>8
[7,4,1,5,8,6,2,3]=>0000000=>8
[7,5,3,8,6,1,2,4]=>0000000=>8
[7,5,8,2,1,6,3,4]=>0000000=>8
[6,2,7,1,3,8,5,4]=>0000000=>8
[6,3,1,7,8,2,5,4]=>0000000=>8
[4,6,1,7,8,5,2,3]=>0000000=>8
[5,1,2,6,7,8,4,3]=>0000000=>8
[5,2,6,7,8,4,1,3]=>0000000=>8
[5,2,6,7,8,4,3,1]=>0000000=>8
[2,5,6,7,8,4,1,3]=>0000000=>8
[1,5,2,6,7,8,4,3]=>1000000=>1
[1,6,4,7,8,5,2,3]=>1000000=>1
[2,6,7,1,3,8,5,4]=>0000000=>8
[6,7,8,2,1,5,4,3]=>0000000=>8
[6,7,3,8,5,1,4,2]=>0000000=>8
[6,4,7,8,5,3,1,2]=>0000000=>8
[4,5,2,3,7,6,1,8]=>0000001=>7
[6,4,3,7,2,5,1,8]=>0000001=>7
[8,4,3,6,5,1,2,7]=>0000000=>8
[1,5,6,3,4,8,7,2]=>1000000=>1
[4,6,2,7,3,5,1,8]=>0000001=>7
[3,2,6,7,4,5,1,8]=>0000001=>7
[4,7,2,6,5,3,1,8]=>0000001=>7
[5,7,6,2,4,3,1,8]=>0000001=>7
[1,7,5,4,8,3,6,2]=>1000000=>1
[8,7,5,4,1,3,2,6]=>0000000=>8
[6,8,5,4,2,1,3,7]=>0000000=>8
[5,8,6,2,4,1,3,7]=>0000000=>8
[4,8,2,6,5,1,3,7]=>0000000=>8
[3,2,8,6,5,1,4,7]=>0000000=>8
[4,1,2,6,5,8,7,3]=>0000000=>8
[5,1,6,2,4,8,7,3]=>0000000=>8
[6,1,5,4,2,8,7,3]=>0000000=>8
[7,1,5,4,8,2,6,3]=>0000000=>8
[8,1,5,4,7,6,2,3]=>0000000=>8
[1,8,6,7,4,5,3,2]=>1000000=>1
[8,1,6,7,4,5,2,3]=>0000000=>8
[7,1,6,8,4,2,5,3]=>0000000=>8
[6,1,7,8,2,4,5,3]=>0000000=>8
[5,1,7,2,8,4,6,3]=>0000000=>8
[4,1,2,7,8,5,6,3]=>0000000=>8
[3,2,1,7,8,5,6,4]=>0010000=>3
[3,2,8,7,1,5,4,6]=>0000000=>8
[4,8,2,7,1,5,3,6]=>0000000=>8
[5,8,7,2,1,4,3,6]=>0000000=>8
[6,8,7,1,2,4,3,5]=>0000000=>8
[7,8,6,1,4,2,3,5]=>0000000=>8
[8,7,6,1,4,3,2,5]=>0000000=>8
[1,7,6,8,4,3,5,2]=>1000000=>1
[1,6,7,8,3,4,5,2]=>1000000=>1
[8,6,7,1,3,4,2,5]=>0000000=>8
[7,6,8,1,3,2,4,5]=>0000000=>8
[5,7,8,2,1,3,4,6]=>0000000=>8
[4,7,2,8,1,3,5,6]=>0000000=>8
[3,2,6,8,4,1,5,7]=>0000000=>8
[4,6,2,8,3,1,5,7]=>0000000=>8
[5,6,8,2,3,1,4,7]=>0000000=>8
[6,5,8,3,2,1,4,7]=>0000000=>8
[7,5,8,3,1,2,4,6]=>0000000=>8
[8,5,7,3,1,4,2,6]=>0000000=>8
[1,5,7,3,8,4,6,2]=>1000000=>1
[1,4,3,7,8,5,6,2]=>1000000=>1
[8,4,3,7,1,5,2,6]=>0000000=>8
[6,4,3,8,2,1,5,7]=>0000000=>8
[4,5,2,3,8,1,6,7]=>0000000=>8
[3,2,5,4,8,1,6,7]=>0000000=>8
[4,5,2,3,1,8,7,6]=>0000100=>5
[6,4,3,1,2,8,7,5]=>0000000=>8
[7,4,3,1,8,2,6,5]=>0000000=>8
[8,4,3,1,7,6,2,5]=>0000000=>8
[1,5,8,3,7,6,4,2]=>1000000=>1
[8,5,1,3,7,6,2,4]=>0000000=>8
[7,5,1,3,8,2,6,4]=>0000000=>8
[6,5,1,3,2,8,7,4]=>0000000=>8
[5,6,1,2,3,8,7,4]=>0000000=>8
[4,6,2,1,3,8,7,5]=>0000000=>8
[3,2,6,1,4,8,7,5]=>0000000=>8
[3,2,7,1,8,4,6,5]=>0000000=>8
[4,7,2,1,8,3,6,5]=>0000000=>8
[5,7,1,2,8,3,6,4]=>0000000=>8
[6,7,1,8,2,3,5,4]=>0000000=>8
[7,6,1,8,3,2,5,4]=>0000000=>8
[8,6,1,7,3,5,2,4]=>0000000=>8
[1,6,8,7,3,5,4,2]=>1000000=>1
[1,7,8,6,5,3,4,2]=>1000000=>1
[8,7,1,6,5,3,2,4]=>0000000=>8
[7,8,1,6,5,2,3,4]=>0000000=>8
[6,8,1,7,2,5,3,4]=>0000000=>8
[5,8,1,2,7,6,3,4]=>0000000=>8
[4,8,2,1,7,6,3,5]=>0000000=>8
[3,2,8,1,7,6,4,5]=>0000000=>8
[4,1,2,8,7,6,5,3]=>0000000=>8
[5,1,8,2,7,6,4,3]=>0000000=>8
[6,1,8,7,2,5,4,3]=>0000000=>8
[7,1,8,6,5,2,4,3]=>0000000=>8
[8,1,7,6,5,4,2,3]=>0000000=>8
[3,1,2,6,5,8,7,4]=>0010000=>3
[3,1,6,2,4,8,7,5]=>0000000=>8
[3,1,5,2,4,8,7,6]=>0000100=>5
[4,5,1,2,3,8,7,6]=>0000100=>5
[4,6,1,2,3,8,7,5]=>0000000=>8
[1,6,5,3,4,8,7,2]=>1000000=>1
[6,1,5,2,4,8,7,3]=>0000000=>8
[6,5,1,2,3,8,7,4]=>0000000=>8
[6,4,1,2,3,8,7,5]=>0000000=>8
[5,4,1,2,3,8,7,6]=>0000100=>5
[5,4,1,2,7,3,6,8]=>0000001=>7
[6,4,1,7,2,3,5,8]=>0000001=>7
[6,4,1,8,2,3,5,7]=>0000000=>8
[7,4,1,2,8,3,6,5]=>0000000=>8
[7,5,1,2,8,3,6,4]=>0000000=>8
[7,1,5,2,8,4,6,3]=>0000000=>8
[1,7,5,3,8,4,6,2]=>1000000=>1
[1,8,5,3,7,4,6,2]=>1000000=>1
[8,1,5,2,7,4,6,3]=>0000000=>8
[8,5,1,2,7,3,6,4]=>0000000=>8
[8,4,1,2,7,3,6,5]=>0000000=>8
[8,4,1,7,2,3,5,6]=>0000000=>8
[7,4,1,6,2,3,5,8]=>0000001=>7
[8,6,1,7,2,3,5,4]=>0000000=>8
[8,1,6,7,2,4,5,3]=>0000000=>8
[1,8,6,7,3,4,5,2]=>1000000=>1
[1,7,6,8,3,4,5,2]=>1000000=>1
[7,1,6,8,2,4,5,3]=>0000000=>8
[7,6,1,8,2,3,5,4]=>0000000=>8
[4,7,1,2,8,3,6,5]=>0000000=>8
[3,1,7,2,8,4,6,5]=>0000000=>8
[3,1,2,7,8,5,6,4]=>0010000=>3
[1,4,3,8,7,5,6,2]=>1000000=>1
[4,1,2,8,7,5,6,3]=>0000000=>8
[3,1,2,8,7,5,6,4]=>0010000=>3
[3,1,8,2,7,4,6,5]=>0000000=>8
[3,1,8,7,2,4,5,6]=>0000000=>8
[3,1,7,6,2,4,5,8]=>0000001=>7
[4,7,1,6,2,3,5,8]=>0000001=>7
[4,8,1,6,2,3,5,7]=>0000000=>8
[4,8,1,7,2,3,5,6]=>0000000=>8
[4,8,1,2,7,3,6,5]=>0000000=>8
[5,8,1,2,7,3,6,4]=>0000000=>8
[5,1,8,2,7,4,6,3]=>0000000=>8
[1,5,8,3,7,4,6,2]=>1000000=>1
[1,6,8,7,3,4,5,2]=>1000000=>1
[6,1,8,7,2,4,5,3]=>0000000=>8
[6,8,1,7,2,3,5,4]=>0000000=>8
[6,8,7,1,2,3,4,5]=>0000000=>8
[5,8,7,1,2,3,4,6]=>0000000=>8
[5,8,6,1,2,3,4,7]=>0000000=>8
[5,7,6,1,2,3,4,8]=>0000001=>7
[7,8,1,6,2,3,5,4]=>0000000=>8
[7,1,8,6,2,4,5,3]=>0000000=>8
[1,7,8,6,3,4,5,2]=>1000000=>1
[1,8,7,6,3,4,5,2]=>1000000=>1
[8,1,7,6,2,4,5,3]=>0000000=>8
[8,7,1,6,2,3,5,4]=>0000000=>8
[3,2,5,4,7,1,8,6]=>0000000=>8
[4,2,5,3,7,6,8,1]=>0000000=>8
[4,2,5,3,7,1,8,6]=>0000000=>8
[4,2,5,3,6,1,8,7]=>0000010=>6
[4,2,5,1,6,3,8,7]=>0000010=>6
[3,1,5,4,6,2,8,7]=>0000010=>6
[4,1,5,3,6,2,8,7]=>0000010=>6
[4,3,5,1,6,2,8,7]=>0000010=>6
[4,3,5,2,7,1,8,6]=>0000000=>8
[4,3,6,2,7,5,8,1]=>0000000=>8
[4,3,6,2,7,1,8,5]=>0000000=>8
[4,3,6,1,7,2,8,5]=>0000000=>8
[4,3,5,1,7,2,8,6]=>0000000=>8
[3,1,5,4,7,2,8,6]=>0000000=>8
[2,1,5,4,7,3,8,6]=>0100000=>2
[4,1,5,3,7,6,8,2]=>0000000=>8
[4,3,5,1,7,6,8,2]=>0000000=>8
[4,3,6,1,7,5,8,2]=>0000000=>8
[4,3,6,5,7,1,8,2]=>0000000=>8
[5,3,6,4,7,2,8,1]=>0000000=>8
[5,3,6,4,7,1,8,2]=>0000000=>8
[5,3,6,1,7,4,8,2]=>0000000=>8
[5,1,6,3,7,4,8,2]=>0000000=>8
[4,1,6,3,7,5,8,2]=>0000000=>8
[3,1,6,4,7,5,8,2]=>0000000=>8
[2,1,6,4,7,3,8,5]=>0100000=>2
[3,1,6,4,7,2,8,5]=>0000000=>8
[4,1,6,3,7,2,8,5]=>0000000=>8
[5,1,6,3,7,2,8,4]=>0000000=>8
[5,3,6,1,7,2,8,4]=>0000000=>8
[5,3,6,2,7,1,8,4]=>0000000=>8
[5,3,6,2,7,4,8,1]=>0000000=>8
[5,2,6,3,7,4,8,1]=>0000000=>8
[5,2,6,3,7,1,8,4]=>0000000=>8
[5,2,6,1,7,3,8,4]=>0000000=>8
[4,2,5,1,7,3,8,6]=>0000000=>8
[4,2,6,1,7,3,8,5]=>0000000=>8
[4,2,6,3,7,1,8,5]=>0000000=>8
[4,2,6,3,7,5,8,1]=>0000000=>8
[3,2,6,4,7,5,8,1]=>0000000=>8
[3,2,6,4,7,1,8,5]=>0000000=>8
[3,2,6,1,7,4,8,5]=>0000000=>8
[3,2,5,1,7,4,8,6]=>0000000=>8
[3,1,4,2,7,6,8,5]=>0001000=>4
[3,2,5,1,7,6,8,4]=>0000000=>8
[3,2,6,1,7,5,8,4]=>0000000=>8
[3,2,6,5,7,1,8,4]=>0000000=>8
[4,2,6,5,7,1,8,3]=>0000000=>8
[4,2,6,1,7,5,8,3]=>0000000=>8
[4,2,5,1,7,6,8,3]=>0000000=>8
[4,1,6,2,7,5,8,3]=>0000000=>8
[5,1,6,2,7,4,8,3]=>0000000=>8
[5,2,6,1,7,4,8,3]=>0000000=>8
[5,2,6,4,7,1,8,3]=>0000000=>8
[5,2,6,4,7,3,8,1]=>0000000=>8
[5,4,6,2,7,3,8,1]=>0000000=>8
[5,4,6,2,7,1,8,3]=>0000000=>8
[5,4,6,1,7,2,8,3]=>0000000=>8
[5,1,6,4,7,2,8,3]=>0000000=>8
[4,1,6,5,7,2,8,3]=>0000000=>8
[3,1,6,5,7,2,8,4]=>0000000=>8
[2,1,6,5,7,3,8,4]=>0100000=>2
[4,1,6,5,7,3,8,2]=>0000000=>8
[5,1,6,4,7,3,8,2]=>0000000=>8
[5,4,6,1,7,3,8,2]=>0000000=>8
[5,4,6,3,7,1,8,2]=>0000000=>8
[8,3,5,2,1,6,4,7]=>0000000=>8
[8,6,3,5,2,4,1,7]=>0000000=>8
[3,7,5,2,4,1,8,6]=>0000000=>8
[8,3,7,5,2,4,6,1]=>0000000=>8
[8,2,4,5,7,3,6,1]=>0000000=>8
[2,4,5,7,3,1,8,6]=>0000000=>8
[8,2,4,6,5,3,1,7]=>0000000=>8
[8,2,5,4,6,1,3,7]=>0000000=>8
[8,6,3,5,1,4,2,7]=>0000000=>8
[8,6,1,4,5,3,2,7]=>0000000=>8
[8,1,5,6,4,3,2,7]=>0000000=>8
[5,7,4,3,2,1,8,6]=>0000000=>8
[8,5,7,4,3,2,6,1]=>0000000=>8
[4,6,8,3,2,7,5,1]=>0000000=>8
[4,7,6,3,2,8,1,5]=>0000000=>8
[1,4,6,7,3,2,8,5]=>1000000=>1
[5,4,7,3,1,8,2,6]=>0000000=>8
[1,7,4,5,3,2,8,6]=>1000000=>1
[3,7,5,1,4,2,8,6]=>0000000=>8
[5,7,4,2,1,3,8,6]=>0000000=>8
[8,5,7,4,2,1,6,3]=>0000000=>8
[8,3,7,5,1,4,6,2]=>0000000=>8
[8,4,1,7,5,3,6,2]=>0000000=>8
[4,6,3,8,7,1,5,2]=>0000000=>8
[1,7,4,8,6,3,5,2]=>1000000=>1
[8,4,7,6,3,5,2,1]=>0000000=>8
[3,6,5,8,7,4,1,2]=>0000000=>8
[3,1,5,8,6,7,4,2]=>0000000=>8
[4,8,1,6,7,3,5,2]=>0000000=>8
[3,6,4,1,8,7,5,2]=>0000000=>8
[8,2,6,1,4,7,5,3]=>0000000=>8
[2,7,6,8,1,4,3,5]=>0000000=>8
[3,7,1,6,4,8,2,5]=>0000000=>8
[1,7,3,5,6,8,2,4]=>1000000=>1
[1,3,6,7,5,8,2,4]=>1000000=>1
[3,7,6,5,8,2,1,4]=>0000000=>8
[3,6,8,5,7,2,4,1]=>0000000=>8
[2,3,5,7,6,8,1,4]=>0000000=>8
[2,1,6,5,7,8,3,4]=>0100000=>2
[4,2,7,6,8,3,1,5]=>0000000=>8
[4,2,6,8,7,3,5,1]=>0000000=>8
[3,8,2,4,6,7,5,1]=>0000000=>8
[3,7,2,6,4,8,1,5]=>0000000=>8
[3,2,6,1,4,7,8,5]=>0000000=>8
[5,3,7,2,1,8,4,6]=>0000000=>8
[4,7,3,2,1,5,8,6]=>0000000=>8
[8,7,6,1,3,4,2,5]=>0000000=>8
[8,5,7,3,2,1,6,4]=>0000000=>8
[8,3,6,7,2,1,5,4]=>0000000=>8
[3,7,8,6,2,1,5,4]=>0000000=>8
[8,7,6,3,5,2,4,1]=>0000000=>8
[2,7,4,8,1,6,5,3]=>0000000=>8
[4,6,8,2,1,7,5,3]=>0000000=>8
[8,4,1,5,7,2,6,3]=>0000000=>8
[8,5,3,7,1,6,2,4]=>0000000=>8
[8,5,7,2,1,3,6,4]=>0000000=>8
[8,2,6,7,1,3,5,4]=>0000000=>8
[8,3,6,1,7,5,2,4]=>0000000=>8
[4,6,1,8,7,2,5,3]=>0000000=>8
[8,1,2,5,6,7,4,3]=>0000000=>8
[8,2,6,5,7,4,1,3]=>0000000=>8
[2,1,7,8,5,6,4,3]=>0100000=>2
[8,2,5,7,6,4,3,1]=>0000000=>8
[2,7,6,8,5,4,1,3]=>0000000=>8
[1,7,2,5,8,6,4,3]=>1000000=>1
[1,7,4,8,2,6,5,3]=>1000000=>1
[3,7,8,1,6,5,2,4]=>0000000=>8
[2,7,8,6,1,3,5,4]=>0000000=>8
[8,7,6,3,5,1,4,2]=>0000000=>8
[8,4,7,6,5,1,3,2]=>0000000=>8
[8,7,1,5,6,4,3,2]=>0000000=>8
[8,1,6,7,5,4,3,2]=>0000000=>8
[6,5,3,1,2,4,8,7]=>0000010=>6
[4,6,3,5,1,2,8,7]=>0000010=>6
[8,5,3,7,2,1,4,6]=>0000000=>8
[5,4,3,6,1,2,8,7]=>0000010=>6
[3,1,6,4,5,2,8,7]=>0000010=>6
[5,8,7,4,2,6,3,1]=>0000000=>8
[3,7,8,4,5,1,2,6]=>0000000=>8
[2,1,8,7,5,3,4,6]=>0100000=>2
[2,1,6,8,5,7,3,4]=>0100000=>2
[5,6,3,8,1,7,2,4]=>0000000=>8
[7,6,1,4,5,8,3,2]=>0000000=>8
[3,7,6,4,5,8,2,1]=>0000000=>8
[8,5,7,4,1,6,3,2]=>0000000=>8
[2,5,8,4,7,6,1,3]=>0000000=>8
[2,4,8,3,5,6,7,1]=>0000000=>8
[3,8,4,2,5,6,7,1]=>0000000=>8
[7,5,8,4,3,6,1,2]=>0000000=>8
[2,1,5,8,4,6,7,3]=>0100000=>2
[6,4,3,8,2,1,7,5]=>0000000=>8
[7,3,8,4,2,6,1,5]=>0000000=>8
[3,1,8,2,5,6,7,4]=>0000000=>8
[2,3,8,1,5,6,7,4]=>0000000=>8
[4,8,2,3,5,6,7,1]=>0000000=>8
[3,8,2,1,5,6,7,4]=>0000000=>8
[2,8,1,3,5,6,7,4]=>0000000=>8
[8,1,2,3,5,6,7,4]=>0000000=>8
[7,8,2,4,3,6,1,5]=>0000000=>8
[6,8,3,2,4,1,7,5]=>0000000=>8
[2,1,7,8,5,4,3,6]=>0100000=>2
[5,7,3,8,1,4,2,6]=>0000000=>8
[3,8,7,4,2,6,1,5]=>0000000=>8
[5,6,3,8,4,2,7,1]=>0000000=>8
[4,8,3,6,2,1,7,5]=>0000000=>8
[7,5,3,8,2,4,1,6]=>0000000=>8
[2,4,3,1,8,5,7,6]=>0001000=>4
[4,1,3,2,6,8,7,5]=>0001000=>4
[8,6,3,5,1,2,7,4]=>0000000=>8
[5,7,3,6,1,8,2,4]=>0000000=>8
[2,1,7,6,5,8,3,4]=>0100000=>2
[6,8,3,5,2,1,7,4]=>0000000=>8
[7,8,5,4,2,6,1,3]=>0000000=>8
[8,1,4,2,5,6,7,3]=>0000000=>8
[4,8,1,2,5,6,7,3]=>0000000=>8
[3,4,8,1,5,6,7,2]=>0000000=>8
[3,4,2,8,5,6,7,1]=>0000000=>8
[4,1,2,8,5,6,7,3]=>0000000=>8
[8,4,2,1,5,6,7,3]=>0000000=>8
[6,5,3,2,8,1,7,4]=>0000000=>8
[6,4,3,5,8,1,7,2]=>0000000=>8
[8,3,4,1,5,6,7,2]=>0000000=>8
[4,3,1,8,5,6,7,2]=>0000000=>8
[5,1,7,4,8,6,3,2]=>0000000=>8
[3,8,7,4,5,2,1,6]=>0000000=>8
[5,7,1,4,8,6,2,3]=>0000000=>8
[5,6,3,1,8,2,7,4]=>0000000=>8
[4,6,3,5,8,2,7,1]=>0000000=>8
[4,6,3,8,1,2,7,5]=>0000000=>8
[3,2,5,1,6,8,4,7]=>0000000=>8
[3,6,2,5,4,8,1,7]=>0000000=>8
[3,5,2,4,7,1,8,6]=>0000000=>8
[3,5,8,2,4,7,6,1]=>0000000=>8
[4,2,5,8,3,7,6,1]=>0000000=>8
[4,2,6,5,3,8,1,7]=>0000000=>8
[5,4,2,1,6,8,3,7]=>0000000=>8
[6,3,5,1,4,8,2,7]=>0000000=>8
[4,6,1,5,3,8,2,7]=>0000000=>8
[5,1,6,4,3,8,2,7]=>0000000=>8
[5,4,3,2,7,1,8,6]=>0000000=>8
[5,4,3,8,2,7,6,1]=>0000000=>8
[4,3,6,2,8,7,5,1]=>0000000=>8
[4,3,7,6,2,1,8,5]=>0000000=>8
[6,4,3,1,7,2,8,5]=>0000000=>8
[7,5,4,3,1,8,2,6]=>0000000=>8
[1,4,7,5,8,3,2,6]=>1000000=>1
[7,1,3,5,8,4,2,6]=>0000000=>8
[7,2,5,8,4,1,3,6]=>0000000=>8
[2,8,5,7,4,6,1,3]=>0000000=>8
[3,5,8,7,1,4,6,2]=>0000000=>8
[1,4,5,8,7,3,6,2]=>1000000=>1
[1,5,4,8,7,3,6,2]=>1000000=>1
[6,4,3,8,1,7,5,2]=>0000000=>8
[4,3,7,1,8,6,5,2]=>0000000=>8
[4,8,3,7,6,5,2,1]=>0000000=>8
[5,3,8,7,6,4,2,1]=>0000000=>8
[7,5,3,1,8,6,4,2]=>0000000=>8
[1,8,6,5,3,7,4,2]=>1000000=>1
[1,5,8,6,3,7,4,2]=>1000000=>1
[4,6,1,8,7,3,5,2]=>0000000=>8
[6,8,7,3,1,4,5,2]=>0000000=>8
[6,2,8,7,4,5,1,3]=>0000000=>8
[7,6,2,8,4,1,3,5]=>0000000=>8
[7,3,1,6,8,4,2,5]=>0000000=>8
[1,7,6,4,8,3,2,5]=>1000000=>1
[5,7,1,6,3,2,8,4]=>0000000=>8
[6,1,7,5,3,2,8,4]=>0000000=>8
[7,6,5,3,2,1,8,4]=>0000000=>8
[6,5,3,2,8,7,4,1]=>0000000=>8
[5,2,6,3,8,7,4,1]=>0000000=>8
[5,2,7,6,3,1,8,4]=>0000000=>8
[6,5,2,1,7,3,8,4]=>0000000=>8
[5,2,7,4,1,8,3,6]=>0000000=>8
[4,7,2,6,3,1,8,5]=>0000000=>8
[2,4,8,6,3,7,5,1]=>0000000=>8
[3,8,6,2,4,7,5,1]=>0000000=>8
[7,3,6,2,4,1,8,5]=>0000000=>8
[3,6,7,2,1,4,8,5]=>0000000=>8
[4,3,7,8,2,1,5,6]=>0000000=>8
[8,3,7,1,4,6,2,5]=>0000000=>8
[3,8,2,5,7,1,6,4]=>0000000=>8
[8,3,6,2,7,1,5,4]=>0000000=>8
[7,8,3,6,2,1,5,4]=>0000000=>8
[8,7,3,6,2,5,4,1]=>0000000=>8
[4,7,8,2,1,6,5,3]=>0000000=>8
[4,2,6,8,1,7,5,3]=>0000000=>8
[5,4,8,2,7,1,6,3]=>0000000=>8
[4,8,1,5,7,2,6,3]=>0000000=>8
[5,8,3,7,1,6,2,4]=>0000000=>8
[5,8,7,2,6,1,3,4]=>0000000=>8
[8,6,2,7,5,1,3,4]=>0000000=>8
[3,6,8,1,7,5,2,4]=>0000000=>8
[5,1,6,8,2,7,4,3]=>0000000=>8
[6,5,2,8,1,7,4,3]=>0000000=>8
[5,2,7,1,8,6,4,3]=>0000000=>8
[5,8,2,7,6,4,3,1]=>0000000=>8
[6,2,8,7,5,4,3,1]=>0000000=>8
[7,6,2,1,8,5,4,3]=>0000000=>8
[6,1,7,2,8,5,4,3]=>0000000=>8
[7,5,1,8,2,6,4,3]=>0000000=>8
[4,7,1,8,6,2,5,3]=>0000000=>8
[7,8,3,1,6,5,2,4]=>0000000=>8
[8,7,4,6,1,5,3,2]=>0000000=>8
[8,5,7,1,6,4,3,2]=>0000000=>8
[6,8,1,7,5,4,3,2]=>0000000=>8
[7,1,8,6,5,4,3,2]=>0000000=>8
[5,4,2,3,7,6,1,8]=>0000001=>7
[6,4,2,7,3,5,1,8]=>0000001=>7
[7,4,2,6,3,5,1,8]=>0000001=>7
[8,4,2,6,3,1,5,7]=>0000000=>8
[3,2,7,6,4,5,1,8]=>0000001=>7
[4,7,2,6,3,5,1,8]=>0000001=>7
[5,7,6,2,3,4,1,8]=>0000001=>7
[1,6,5,2,3,8,4,7]=>1000000=>1
[1,7,5,2,8,3,4,6]=>1000000=>1
[6,8,5,2,3,1,4,7]=>0000000=>8
[5,8,6,2,3,1,4,7]=>0000000=>8
[4,8,2,6,3,1,5,7]=>0000000=>8
[3,2,8,6,4,1,5,7]=>0000000=>8
[3,2,1,6,4,8,5,7]=>0010000=>3
[7,1,5,2,8,3,4,6]=>0000000=>8
[1,8,5,2,7,3,4,6]=>1000000=>1
[1,8,6,7,2,3,4,5]=>1000000=>1
[8,1,6,7,2,3,4,5]=>0000000=>8
[7,1,6,8,2,3,4,5]=>0000000=>8
[3,2,1,7,8,4,5,6]=>0010000=>3
[3,2,8,7,1,4,5,6]=>0000000=>8
[5,8,7,2,1,3,4,6]=>0000000=>8
[1,7,6,8,2,3,4,5]=>1000000=>1
[6,5,8,2,3,1,4,7]=>0000000=>8
[8,5,7,2,1,3,4,6]=>0000000=>8
[6,4,2,8,3,1,5,7]=>0000000=>8
[5,4,2,3,8,1,6,7]=>0000000=>8
[3,2,5,4,1,8,6,7]=>0000100=>5
[4,5,2,3,1,8,6,7]=>0000100=>5
[5,4,2,3,1,8,6,7]=>0000100=>5
[6,4,2,1,3,8,5,7]=>0000000=>8
[7,4,2,1,8,3,5,6]=>0000000=>8
[8,4,2,1,7,3,5,6]=>0000000=>8
[1,4,2,8,7,3,5,6]=>1000000=>1
[1,5,8,2,7,3,4,6]=>1000000=>1
[8,5,1,2,7,3,4,6]=>0000000=>8
[7,5,1,2,8,3,4,6]=>0000000=>8
[6,5,1,2,3,8,4,7]=>0000000=>8
[4,6,2,1,3,8,5,7]=>0000000=>8
[3,2,6,1,4,8,5,7]=>0000000=>8
[3,2,7,1,8,4,5,6]=>0000000=>8
[4,7,2,1,8,3,5,6]=>0000000=>8
[7,6,1,8,2,3,4,5]=>0000000=>8
[8,6,1,7,2,3,4,5]=>0000000=>8
[1,6,8,7,2,3,4,5]=>1000000=>1
[1,7,8,6,2,3,4,5]=>1000000=>1
[7,8,1,6,2,3,4,5]=>0000000=>8
[6,8,1,7,2,3,4,5]=>0000000=>8
[4,8,2,1,7,3,5,6]=>0000000=>8
[3,2,8,1,7,4,5,6]=>0000000=>8
[3,2,1,8,7,4,5,6]=>0010000=>3
[5,1,8,2,7,3,4,6]=>0000000=>8
[6,1,8,7,2,3,4,5]=>0000000=>8
[8,1,7,6,2,3,4,5]=>0000000=>8
[1,8,7,6,2,3,4,5]=>1000000=>1
[4,3,5,6,1,2,8,7]=>0000010=>6
[6,5,2,7,1,8,3,4]=>0000000=>8
[5,3,1,4,6,2,8,7]=>0000010=>6
[5,7,4,6,2,8,3,1]=>0000000=>8
[3,4,7,8,5,2,1,6]=>0000000=>8
[7,5,4,8,1,6,3,2]=>0000000=>8
[2,4,6,3,7,5,8,1]=>0000000=>8
[4,1,6,3,8,5,7,2]=>0000000=>8
[3,7,4,2,8,6,5,1]=>0000000=>8
[7,4,1,3,5,8,6,2]=>0000000=>8
[2,1,4,8,3,7,6,5]=>0100000=>2
[8,3,1,2,5,7,6,4]=>0000000=>8
[3,1,8,2,7,6,5,4]=>0000000=>8
[2,3,8,1,6,7,5,4]=>0000000=>8
[4,3,7,2,6,8,5,1]=>0000000=>8
[2,8,1,3,6,5,7,4]=>0000000=>8
[2,7,8,5,4,3,1,6]=>0000000=>8
[3,8,6,7,2,4,1,5]=>0000000=>8
[5,3,8,7,4,2,6,1]=>0000000=>8
[4,3,8,7,2,1,6,5]=>0000000=>8
[8,3,6,1,4,2,7,5]=>0000000=>8
[4,1,3,2,6,7,8,5]=>0001000=>4
[5,3,6,1,8,7,2,4]=>0000000=>8
[5,6,2,8,7,4,1,3]=>0000000=>8
[7,8,5,6,1,4,2,3]=>0000000=>8
[8,1,6,4,5,7,2,3]=>0000000=>8
[2,1,8,6,5,7,3,4]=>0100000=>2
[2,1,7,5,3,6,8,4]=>0100000=>2
[6,7,3,5,2,1,8,4]=>0000000=>8
[4,1,2,5,8,6,7,3]=>0000000=>8
[8,5,2,4,6,1,7,3]=>0000000=>8
[3,1,4,5,6,8,7,2]=>0000000=>8
[3,1,6,5,4,2,8,7]=>0000010=>6
[5,1,7,3,8,4,6,2]=>0000000=>8
[2,5,7,3,8,6,4,1]=>0000000=>8
[7,6,1,3,5,8,4,2]=>0000000=>8
[5,6,3,7,4,8,1,2]=>0000000=>8
[2,1,6,7,4,8,5,3]=>0100000=>2
[2,1,8,7,4,3,6,5]=>0100000=>2
[5,8,3,7,4,2,6,1]=>0000000=>8
[5,8,7,3,2,6,1,4]=>0000000=>8
[2,8,6,3,1,5,7,4]=>0000000=>8
[8,1,6,3,2,5,4,7]=>0000000=>8
[2,8,4,1,6,3,7,5]=>0000000=>8
[4,8,1,2,7,6,3,5]=>0000000=>8
[3,8,4,2,5,7,1,6]=>0000000=>8
[2,1,5,3,8,7,6,4]=>0100000=>2
[6,5,3,2,8,7,1,4]=>0000000=>8
[2,4,1,8,7,6,5,3]=>0000000=>8
[8,4,2,1,7,5,3,6]=>0000000=>8
[4,3,1,8,6,7,5,2]=>0000000=>8
[8,6,2,5,1,7,4,3]=>0000000=>8
[5,6,2,1,8,7,3,4]=>0000000=>8
[7,5,2,8,3,4,6,1]=>0000000=>8
[5,6,2,8,4,3,1,7]=>0000000=>8
[4,7,2,8,1,5,3,6]=>0000000=>8
[8,7,2,1,4,5,6,3]=>0000000=>8
[3,6,8,7,1,5,4,2]=>0000000=>8
[5,7,8,6,3,4,1,2]=>0000000=>8
[5,7,3,8,1,4,6,2]=>0000000=>8
[2,1,7,8,5,4,6,3]=>0100000=>2
[2,1,5,8,4,6,3,7]=>0100000=>2
[7,5,8,4,3,6,2,1]=>0000000=>8
[8,4,1,3,7,2,6,5]=>0000000=>8
[2,3,8,1,4,6,7,5]=>0000000=>8
[4,3,8,2,5,1,7,6]=>0000000=>8
[2,1,4,8,3,5,7,6]=>0100000=>2
[2,8,4,1,6,5,3,7]=>0000000=>8
[2,8,4,1,6,5,7,3]=>0000000=>8
[2,8,7,6,1,4,3,5]=>0000000=>8
[2,8,5,6,7,4,3,1]=>0000000=>8
[7,5,8,6,1,4,2,3]=>0000000=>8
[3,5,7,2,4,1,6,8]=>0000001=>7
[2,8,5,3,4,1,6,7]=>0000000=>8
[3,5,7,2,4,6,1,8]=>0000001=>7
[7,5,8,2,4,6,3,1]=>0000000=>8
[7,5,8,6,1,4,3,2]=>0000000=>8
[6,5,8,2,1,3,7,4]=>0000000=>8
[3,5,7,6,1,4,8,2]=>0000000=>8
[3,5,7,2,4,1,8,6]=>0000000=>8
[3,5,7,2,4,6,8,1]=>0000000=>8
[6,5,2,7,3,4,8,1]=>0000000=>8
[5,1,6,7,4,3,8,2]=>0000000=>8
[4,1,2,3,8,7,5,6]=>0001000=>4
[4,1,2,3,8,6,5,7]=>0001000=>4
[4,1,2,3,8,6,7,5]=>0001000=>4
[4,1,2,3,8,5,7,6]=>0001000=>4
[7,1,6,8,4,3,5,2]=>0000000=>8
[5,6,8,2,3,1,7,4]=>0000000=>8
[6,5,8,2,4,3,7,1]=>0000000=>8
[7,5,2,8,3,4,1,6]=>0000000=>8
[6,5,2,8,3,7,1,4]=>0000000=>8
[7,1,6,8,4,3,2,5]=>0000000=>8
[4,1,8,3,6,5,7,2]=>0000000=>8
[4,1,8,3,6,2,7,5]=>0000000=>8
[7,1,6,5,8,3,2,4]=>0000000=>8
[4,5,2,6,3,7,1,8]=>0000001=>7
[7,5,2,6,3,8,4,1]=>0000000=>8
[4,1,2,3,7,8,6,5]=>0001000=>4
[4,5,2,7,3,8,6,1]=>0000000=>8
[4,1,6,7,8,3,5,2]=>0000000=>8
[4,1,2,6,8,5,7,3]=>0000000=>8
[7,8,5,6,1,4,3,2]=>0000000=>8
[7,8,4,2,1,5,3,6]=>0000000=>8
[7,8,2,1,6,5,3,4]=>0000000=>8
[6,4,1,2,5,7,3,8]=>0000001=>7
[2,4,8,1,5,7,3,6]=>0000000=>8
[4,3,8,1,7,2,5,6]=>0000000=>8
[6,3,1,4,7,2,5,8]=>0000001=>7
[7,8,3,4,5,1,6,2]=>0000000=>8
[7,8,3,5,4,2,1,6]=>0000000=>8
[7,8,4,1,2,3,6,5]=>0000000=>8
[7,8,3,6,5,4,1,2]=>0000000=>8
[7,8,2,1,5,3,4,6]=>0000000=>8
[7,8,2,6,4,1,3,5]=>0000000=>8
[7,8,2,5,6,4,1,3]=>0000000=>8
[7,8,1,6,5,4,3,2]=>0000000=>8
[6,2,1,7,5,4,3,8]=>0000001=>7
[2,1,8,7,5,4,3,6]=>0100000=>2
[1,3,8,2,6,4,7,5]=>1000000=>1
[5,3,7,1,6,4,8,2]=>0000000=>8
[5,3,6,2,7,4,1,8]=>0000001=>7
[6,1,2,5,8,7,4,3]=>0000000=>8
[6,3,1,8,4,2,7,5]=>0000000=>8
[6,4,2,1,5,3,8,7]=>0000010=>6
[6,4,3,7,5,8,1,2]=>0000000=>8
[4,3,8,7,5,6,1,2]=>0000000=>8
[2,4,7,1,5,3,6,8]=>0000001=>7
[1,3,7,6,4,2,8,5]=>1000000=>1
[2,1,7,5,6,8,4,3]=>0100000=>2
[3,7,2,8,6,4,1,5]=>0000000=>8
[3,8,1,7,6,4,5,2]=>0000000=>8
[1,8,5,7,3,6,4,2]=>1000000=>1
[2,7,5,8,3,6,1,4]=>0000000=>8
[1,5,6,8,2,4,7,3]=>1000000=>1
[2,6,8,5,3,1,4,7]=>0000000=>8
[2,6,1,4,7,3,5,8]=>0000001=>7
[5,6,7,3,8,4,1,2]=>0000000=>8
[5,2,8,1,4,7,3,6]=>0000000=>8
[4,6,7,5,2,1,3,8]=>0000001=>7
[4,5,6,7,2,8,1,3]=>0000000=>8
[4,5,7,6,1,8,3,2]=>0000000=>8
[1,5,8,6,2,7,3,4]=>1000000=>1
[1,6,5,8,3,2,7,4]=>1000000=>1
[4,6,5,7,1,2,8,3]=>0000000=>8
[4,7,5,6,3,1,8,2]=>0000000=>8
[5,1,6,3,4,2,8,7]=>0000010=>6
[5,7,1,4,2,3,8,6]=>0000000=>8
[5,7,6,4,3,8,1,2]=>0000000=>8
[6,3,4,5,8,7,1,2]=>0000000=>8
[6,2,4,1,8,3,7,5]=>0000000=>8
[6,2,3,5,4,8,1,7]=>0000000=>8
[6,1,3,4,5,8,7,2]=>0000000=>8
[5,1,4,2,7,6,8,3]=>0000000=>8
[1,6,2,4,7,8,3,5]=>1000000=>1
[5,7,2,4,1,6,3,8]=>0000001=>7
[6,1,4,2,8,5,3,7]=>0000000=>8
[6,7,5,8,1,4,3,2]=>0000000=>8
[5,8,7,6,3,4,1,2]=>0000000=>8
[5,8,7,6,2,3,1,4]=>0000000=>8
[4,1,7,2,6,5,3,8]=>0000001=>7
[4,8,2,1,5,6,3,7]=>0000000=>8
[4,2,7,8,1,6,3,5]=>0000000=>8
[2,1,8,7,6,5,3,4]=>0100000=>2
[3,1,4,7,8,2,6,5]=>0000000=>8
[3,1,7,4,5,6,8,2]=>0000000=>8
[4,2,7,1,6,3,8,5]=>0000000=>8
[4,3,7,5,6,8,1,2]=>0000000=>8
[4,8,6,3,5,7,1,2]=>0000000=>8
[4,8,1,2,5,3,7,6]=>0000000=>8
[3,8,6,5,2,4,1,7]=>0000000=>8
[3,8,5,6,1,4,7,2]=>0000000=>8
[5,3,7,8,2,1,6,4]=>0000000=>8
[5,2,8,7,1,6,4,3]=>0000000=>8
[1,6,8,7,5,2,4,3]=>1000000=>1
[3,6,7,8,5,1,4,2]=>0000000=>8
[3,7,6,8,5,2,1,4]=>0000000=>8
[3,7,8,5,1,2,4,6]=>0000000=>8
[3,7,1,6,4,2,5,8]=>0000001=>7
[4,1,8,6,2,3,5,7]=>0000000=>8
[4,7,8,6,3,5,1,2]=>0000000=>8
[3,8,7,6,5,4,1,2]=>0000000=>8
[2,1,7,6,5,3,4,8]=>0100001=>2
[2,8,1,6,4,5,3,7]=>0000000=>8
[2,8,7,5,1,4,3,6]=>0000000=>8
[2,8,6,7,5,1,3,4]=>0000000=>8
[2,7,8,6,5,4,1,3]=>0000000=>8
[6,4,2,7,1,3,8,5]=>0000000=>8
[8,5,3,6,1,7,2,4]=>0000000=>8
[7,3,6,2,4,8,1,5]=>0000000=>8
[4,3,7,1,2,5,8,6]=>0000000=>8
[3,6,2,7,1,4,8,5]=>0000000=>8
[5,3,6,7,1,2,8,4]=>0000000=>8
[4,7,1,5,2,3,8,6]=>0000000=>8
[3,7,5,1,2,4,8,6]=>0000000=>8
[7,6,4,2,3,8,1,5]=>0000000=>8
[5,7,4,2,3,8,1,6]=>0000000=>8
[3,7,6,1,4,8,2,5]=>0000000=>8
[6,4,7,5,2,8,1,3]=>0000000=>8
[7,4,8,5,2,6,1,3]=>0000000=>8
[5,8,2,6,3,7,1,4]=>0000000=>8
[3,8,6,2,4,7,1,5]=>0000000=>8
[4,8,6,2,7,1,3,5]=>0000000=>8
[2,6,5,8,1,3,4,7]=>0000000=>8
[5,4,6,7,2,8,1,3]=>0000000=>8
[3,5,7,1,4,8,2,6]=>0000000=>8
[5,3,7,2,4,8,1,6]=>0000000=>8
[5,4,7,3,8,1,2,6]=>0000000=>8
[8,4,1,6,7,2,3,5]=>0000000=>8
[7,4,1,6,8,2,3,5]=>0000000=>8
[6,5,3,7,1,8,2,4]=>0000000=>8
[5,3,6,4,7,8,1,2]=>0000000=>8
[6,3,7,4,8,5,1,2]=>0000000=>8
[4,7,1,5,8,6,2,3]=>0000000=>8
[7,5,1,2,8,6,3,4]=>0000000=>8
[8,6,1,7,5,2,3,4]=>0000000=>8
[5,7,2,8,1,6,3,4]=>0000000=>8
[6,3,7,8,5,1,2,4]=>0000000=>8
[2,4,8,7,1,3,5,6]=>0000000=>8
[4,3,8,7,1,2,5,6]=>0000000=>8
[8,3,7,6,1,2,4,5]=>0000000=>8
[8,4,7,6,1,2,3,5]=>0000000=>8
[3,5,8,7,1,2,4,6]=>0000000=>8
[2,5,8,7,1,3,4,6]=>0000000=>8
[6,8,4,7,5,1,2,3]=>0000000=>8
[5,8,7,1,6,2,3,4]=>0000000=>8
[2,8,7,6,1,3,4,5]=>0000000=>8
[3,8,7,6,1,2,4,5]=>0000000=>8
[4,8,7,6,1,2,3,5]=>0000000=>8
[7,5,3,8,2,1,6,4]=>0000000=>8
[3,8,7,4,5,1,6,2]=>0000000=>8
[5,7,3,8,1,2,6,4]=>0000000=>8
[2,7,8,4,1,6,5,3]=>0000000=>8
[7,1,8,4,2,6,5,3]=>0000000=>8
[7,5,1,4,8,6,3,2]=>0000000=>8
[6,5,3,1,8,4,7,2]=>0000000=>8
[2,3,4,5,6,7,8,1,9]=>00000001=>8
[2,3,4,5,6,8,9,1,7]=>00000000=>9
[2,3,4,5,7,8,9,1,6]=>00000000=>9
[2,3,4,6,7,8,9,1,5]=>00000000=>9
[2,3,5,6,7,8,9,1,4]=>00000000=>9
[2,4,5,6,7,8,9,1,3]=>00000000=>9
[3,4,5,6,7,8,9,1,2]=>00000000=>9
[2,3,4,5,6,7,8,9,10,1]=>000000000=>10
[2,3,4,5,6,7,8,9,1,10]=>000000001=>9
[2,3,4,5,6,7,1,8,9]=>00000011=>7
[2,3,4,5,6,7,8,10,1,9]=>000000000=>10
[2,3,4,5,6,1,9,7,8]=>00000100=>6
[2,3,4,5,6,7,9,10,1,8]=>000000000=>10
[2,3,4,5,1,8,9,6,7]=>00001000=>5
[2,3,4,5,6,8,9,10,1,7]=>000000000=>10
[2,3,4,1,7,8,9,5,6]=>00010000=>4
[2,3,4,5,7,8,9,10,1,6]=>000000000=>10
[2,3,1,6,7,8,9,4,5]=>00100000=>3
[2,3,4,6,7,8,9,10,1,5]=>000000000=>10
[2,1,5,6,7,8,9,3,4]=>01000000=>2
[2,3,5,6,7,8,9,10,1,4]=>000000000=>10
[1,4,5,6,7,8,9,2,3]=>10000000=>1
[2,4,5,6,7,8,9,10,1,3]=>000000000=>10
[3,4,5,6,7,8,9,10,1,2]=>000000000=>10
[3,6,4,5,7,2,8,1]=>0000000=>8
[5,3,2,7,4,6,8,1]=>0000000=>8
[7,5,3,6,2,4,8,1]=>0000000=>8
[6,3,2,5,1,8,4,7]=>0000000=>8
[8,5,3,6,2,7,1,4]=>0000000=>8
[8,2,6,3,4,7,1,5]=>0000000=>8
[7,2,6,3,4,5,8,1]=>0000000=>8
[6,2,7,3,4,5,8,1]=>0000000=>8
[4,2,5,7,3,6,8,1]=>0000000=>8
[5,4,7,6,2,3,8,1]=>0000000=>8
[6,7,3,5,2,4,8,1]=>0000000=>8
[3,7,6,2,4,5,8,1]=>0000000=>8
[2,7,6,3,4,5,8,1]=>0000000=>8
[6,5,3,1,2,8,4,7]=>0000000=>8
[8,6,5,2,3,7,1,4]=>0000000=>8
[8,5,2,1,7,3,4,6]=>0000000=>8
[7,5,2,1,8,3,4,6]=>0000000=>8
[1,6,3,2,8,4,5,7]=>1000000=>1
[5,6,2,3,1,8,4,7]=>0000000=>8
[5,4,8,6,2,7,1,3]=>0000000=>8
[6,8,3,5,2,7,1,4]=>0000000=>8
[7,8,5,2,3,6,1,4]=>0000000=>8
[1,8,6,3,7,2,4,5]=>1000000=>1
[1,8,2,7,3,4,5,6]=>1000000=>1
[2,8,1,7,3,4,5,6]=>0000000=>8
[3,8,6,1,7,2,4,5]=>0000000=>8
[4,8,1,5,7,2,3,6]=>0000000=>8
[4,2,8,3,7,1,5,6]=>0000000=>8
[8,1,2,7,3,4,5,6]=>0000000=>8
[3,6,2,7,1,8,4,5]=>0000000=>8
[7,2,6,1,8,3,4,5]=>0000000=>8
[7,3,1,5,8,2,4,6]=>0000000=>8
[3,2,1,5,8,4,6,7]=>0010000=>3
[5,4,1,3,6,8,2,7]=>0000000=>8
[1,5,3,4,6,8,2,7]=>1000000=>1
[4,3,5,1,6,8,2,7]=>0000000=>8
[5,4,6,3,8,7,1,2]=>0000000=>8
[3,6,4,5,8,7,1,2]=>0000000=>8
[6,5,3,4,8,7,1,2]=>0000000=>8
[5,3,2,8,7,1,4,6]=>0000000=>8
[5,3,1,8,7,2,4,6]=>0000000=>8
[8,5,3,7,6,1,2,4]=>0000000=>8
[6,1,8,3,7,2,4,5]=>0000000=>8
[6,3,8,1,7,2,4,5]=>0000000=>8
[7,6,8,2,3,5,1,4]=>0000000=>8
[3,7,8,2,4,6,1,5]=>0000000=>8
[6,7,3,8,2,5,1,4]=>0000000=>8
[5,4,7,8,2,6,1,3]=>0000000=>8
[4,2,5,8,7,1,3,6]=>0000000=>8
[2,3,8,7,1,4,5,6]=>0000000=>8
[7,2,8,6,1,3,4,5]=>0000000=>8
[2,1,8,7,3,4,5,6]=>0100000=>2
[8,2,7,6,1,3,4,5]=>0000000=>8
[1,2,8,7,3,4,5,6]=>1100000=>1
[1,3,8,7,2,4,5,6]=>1000000=>1
[1,7,8,3,6,2,4,5]=>1000000=>1
[4,1,5,8,7,2,3,6]=>0000000=>8
[5,4,8,7,6,1,2,3]=>0000000=>8
[6,8,3,7,5,1,2,4]=>0000000=>8
[7,8,6,2,5,1,3,4]=>0000000=>8
[8,1,6,7,3,2,5,4]=>0000000=>8
[8,1,6,7,3,2,4,5]=>0000000=>8
[8,1,5,3,7,2,4,6]=>0000000=>8
[8,1,5,3,6,2,4,7]=>0000000=>8
[7,5,1,3,6,2,4,8]=>0000001=>7
[7,5,8,3,6,2,4,1]=>0000000=>8
[7,4,8,3,2,6,5,1]=>0000000=>8
[7,4,1,3,2,6,5,8]=>0000001=>7
[8,1,4,3,2,6,5,7]=>0000000=>8
[8,1,4,3,2,7,5,6]=>0000000=>8
[8,1,4,3,2,7,6,5]=>0000000=>8
[8,1,5,4,6,7,2,3]=>0000000=>8
[8,1,5,3,6,2,7,4]=>0000000=>8
[8,1,4,3,2,6,7,5]=>0000000=>8
[8,1,4,3,2,5,7,6]=>0000000=>8
[8,1,4,3,2,5,6,7]=>0000000=>8
[7,4,1,3,2,5,6,8]=>0000001=>7
[7,4,8,3,2,5,6,1]=>0000000=>8
[6,4,3,8,2,5,7,1]=>0000000=>8
[6,4,3,1,2,5,8,7]=>0000010=>6
[7,4,1,3,2,5,8,6]=>0000000=>8
[7,4,1,3,2,6,8,5]=>0000000=>8
[7,5,1,3,6,2,8,4]=>0000000=>8
[7,5,1,4,6,8,2,3]=>0000000=>8
[7,5,8,3,6,2,1,4]=>0000000=>8
[7,4,8,3,2,6,1,5]=>0000000=>8
[7,4,8,3,2,5,1,6]=>0000000=>8
[6,4,3,8,2,5,1,7]=>0000000=>8
[6,4,3,7,2,5,8,1]=>0000000=>8
[5,4,3,2,8,6,1,7]=>0000000=>8
[5,4,3,2,8,7,1,6]=>0000000=>8
[6,5,3,8,7,2,1,4]=>0000000=>8
[6,5,4,8,7,1,2,3]=>0000000=>8
[6,5,4,1,7,8,2,3]=>0000000=>8
[6,5,3,1,7,2,8,4]=>0000000=>8
[6,4,3,1,2,7,8,5]=>0000000=>8
[5,4,3,2,1,8,6,7]=>0000100=>5
[6,5,3,1,8,2,7,4]=>0000000=>8
[6,5,4,1,8,7,2,3]=>0000000=>8
[7,5,1,4,8,6,2,3]=>0000000=>8
[7,4,1,3,2,8,6,5]=>0000000=>8
[7,4,1,3,2,8,5,6]=>0000000=>8
[6,4,3,1,2,8,5,7]=>0000000=>8
[6,4,3,1,2,7,5,8]=>0000001=>7
[6,4,3,8,2,7,5,1]=>0000000=>8
[6,5,3,8,7,2,4,1]=>0000000=>8
[6,5,3,1,7,2,4,8]=>0000001=>7
[6,5,3,1,8,2,4,7]=>0000000=>8
[7,5,1,3,8,2,4,6]=>0000000=>8
[7,6,1,8,3,2,4,5]=>0000000=>8
[7,6,1,8,4,5,2,3]=>0000000=>8
[7,6,8,1,4,5,2,3]=>0000000=>8
[7,6,8,1,3,2,5,4]=>0000000=>8
[6,5,3,7,8,2,4,1]=>0000000=>8
[6,4,3,7,2,8,5,1]=>0000000=>8
[6,4,3,7,2,1,5,8]=>0000001=>7
[7,4,8,3,2,1,5,6]=>0000000=>8
[7,4,8,3,2,1,6,5]=>0000000=>8
[7,5,8,3,1,2,6,4]=>0000000=>8
[7,5,8,4,1,6,2,3]=>0000000=>8
[6,5,4,8,1,7,2,3]=>0000000=>8
[6,5,3,8,1,2,7,4]=>0000000=>8
[5,4,3,2,8,1,7,6]=>0000000=>8
[6,4,3,7,2,1,8,5]=>0000000=>8
[6,5,3,7,1,2,8,4]=>0000000=>8
[6,5,4,7,1,8,2,3]=>0000000=>8
[6,5,3,7,8,2,1,4]=>0000000=>8
[6,4,3,7,2,8,1,5]=>0000000=>8
[5,4,3,2,7,8,1,6]=>0000000=>8
[5,4,3,2,6,8,1,7]=>0000000=>8
[5,3,7,8,2,1,4,6]=>0000000=>8
[7,6,1,2,5,8,3,4]=>0000000=>8
[2,1,7,8,4,3,5,6]=>0100000=>2
[7,8,1,2,5,4,6,3]=>0000000=>8
[8,4,1,3,7,6,2,5]=>0000000=>8
[6,5,2,1,8,7,4,3]=>0000000=>8
[4,7,2,8,1,3,6,5]=>0000000=>8
[7,3,8,6,1,2,5,4]=>0000000=>8
[3,4,7,1,8,2,6,5]=>0000000=>8
[1,8,2,4,3,5,6,7]=>1000000=>1
[1,7,2,4,3,5,6,8]=>1000001=>1
[1,6,2,4,3,5,7,8]=>1000011=>1
[1,5,2,4,3,6,7,8]=>1000111=>1
[1,6,2,5,3,4,7,8]=>1000011=>1
[1,7,2,5,3,4,6,8]=>1000001=>1
[1,8,2,5,3,4,6,7]=>1000000=>1
[1,8,2,6,3,4,5,7]=>1000000=>1
[1,7,2,6,3,4,5,8]=>1000001=>1
[1,8,2,7,3,5,4,6]=>1000000=>1
[1,7,2,8,3,5,4,6]=>1000000=>1
[1,6,2,8,3,5,4,7]=>1000000=>1
[1,5,2,8,3,6,4,7]=>1000000=>1
[1,4,2,8,3,6,5,7]=>1000000=>1
[1,3,2,8,4,6,5,7]=>1010000=>1
[1,2,3,8,4,6,5,7]=>1110000=>1
[1,2,3,7,4,6,5,8]=>1110001=>1
[1,3,2,7,4,6,5,8]=>1010001=>1
[1,4,2,7,3,6,5,8]=>1000001=>1
[1,5,2,7,3,6,4,8]=>1000001=>1
[1,6,2,7,3,5,4,8]=>1000001=>1
[1,7,2,6,3,5,4,8]=>1000001=>1
[1,8,2,6,3,5,4,7]=>1000000=>1
[1,8,2,5,3,6,4,7]=>1000000=>1
[1,7,2,5,3,6,4,8]=>1000001=>1
[1,6,2,5,3,7,4,8]=>1000001=>1
[1,5,2,4,3,7,6,8]=>1000101=>1
[1,6,2,4,3,7,5,8]=>1000001=>1
[1,7,2,4,3,6,5,8]=>1000001=>1
[1,8,2,4,3,6,5,7]=>1000000=>1
[1,8,2,3,4,6,5,7]=>1000000=>1
[1,7,2,3,4,6,5,8]=>1000001=>1
[1,8,2,3,4,7,5,6]=>1000000=>1
[1,8,2,4,3,7,5,6]=>1000000=>1
[1,7,2,4,3,8,5,6]=>1000000=>1
[1,6,2,4,3,8,5,7]=>1000000=>1
[1,5,2,4,3,8,6,7]=>1000100=>1
[1,6,2,5,3,8,4,7]=>1000000=>1
[1,7,2,5,3,8,4,6]=>1000000=>1
[1,8,2,5,3,7,4,6]=>1000000=>1
[1,8,2,6,3,7,4,5]=>1000000=>1
[1,7,2,6,3,8,4,5]=>1000000=>1
[1,2,3,8,4,7,5,6]=>1110000=>1
[1,3,2,8,4,7,5,6]=>1010000=>1
[1,4,2,8,3,7,5,6]=>1000000=>1
[1,5,2,8,3,7,4,6]=>1000000=>1
[1,6,2,8,3,7,4,5]=>1000000=>1
[1,7,2,8,3,6,4,5]=>1000000=>1
[1,8,2,7,3,6,4,5]=>1000000=>1
[4,6,3,7,2,5,1,8]=>0000001=>7
[4,6,3,7,5,2,1,8]=>0000001=>7
[4,6,3,8,5,1,7,2]=>0000000=>8
[4,6,3,8,5,1,2,7]=>0000000=>8
[5,6,8,3,4,1,2,7]=>0000000=>8
[5,6,8,3,4,1,7,2]=>0000000=>8
[4,6,2,7,5,3,1,8]=>0000001=>7
[5,6,7,2,4,3,1,8]=>0000001=>7
[5,6,8,4,3,1,7,2]=>0000000=>8
[5,6,8,4,3,1,2,7]=>0000000=>8
[5,7,8,4,1,6,2,3]=>0000000=>8
[5,7,8,4,1,6,3,2]=>0000000=>8
[5,7,8,4,1,3,6,2]=>0000000=>8
[5,6,8,4,2,1,7,3]=>0000000=>8
[5,6,8,2,4,1,7,3]=>0000000=>8
[4,6,2,8,5,1,7,3]=>0000000=>8
[3,2,6,8,5,1,7,4]=>0000000=>8
[3,2,6,8,5,1,4,7]=>0000000=>8
[4,6,2,8,5,1,3,7]=>0000000=>8
[5,6,8,2,4,1,3,7]=>0000000=>8
[5,6,8,4,2,1,3,7]=>0000000=>8
[5,7,8,4,1,3,2,6]=>0000000=>8
[5,7,8,4,1,2,6,3]=>0000000=>8
[5,7,8,4,1,2,3,6]=>0000000=>8
[6,7,8,1,5,2,3,4]=>0000000=>8
[6,7,8,1,5,2,4,3]=>0000000=>8
[6,7,8,1,5,3,2,4]=>0000000=>8
[6,7,8,1,3,5,2,4]=>0000000=>8
[5,7,8,2,1,6,3,4]=>0000000=>8
[4,7,2,8,1,6,3,5]=>0000000=>8
[3,2,7,8,1,6,4,5]=>0000000=>8
[3,2,7,8,1,6,5,4]=>0000000=>8
[4,7,2,8,1,6,5,3]=>0000000=>8
[5,7,8,2,1,6,4,3]=>0000000=>8
[6,7,8,1,3,5,4,2]=>0000000=>8
[6,7,8,1,5,3,4,2]=>0000000=>8
[6,7,8,1,5,4,3,2]=>0000000=>8
[6,7,8,1,5,4,2,3]=>0000000=>8
[6,7,8,1,4,5,2,3]=>0000000=>8
[6,7,8,1,4,5,3,2]=>0000000=>8
[6,7,8,1,4,3,5,2]=>0000000=>8
[6,7,8,1,3,4,5,2]=>0000000=>8
[5,7,8,2,1,4,6,3]=>0000000=>8
[4,7,2,8,1,5,6,3]=>0000000=>8
[3,2,7,8,1,5,6,4]=>0000000=>8
[3,2,6,8,4,1,7,5]=>0000000=>8
[4,6,2,8,3,1,7,5]=>0000000=>8
[5,6,8,3,2,1,7,4]=>0000000=>8
[5,7,8,3,1,4,6,2]=>0000000=>8
[5,7,8,3,1,6,4,2]=>0000000=>8
[5,7,8,3,1,6,2,4]=>0000000=>8
[4,7,3,8,1,6,2,5]=>0000000=>8
[4,7,3,8,1,6,5,2]=>0000000=>8
[4,7,3,8,1,5,6,2]=>0000000=>8
[4,6,3,8,2,1,7,5]=>0000000=>8
[4,5,3,2,8,1,7,6]=>0000000=>8
[4,5,2,3,8,1,7,6]=>0000000=>8
[3,2,5,4,8,1,7,6]=>0000000=>8
[4,5,3,2,8,1,6,7]=>0000000=>8
[4,6,3,8,2,1,5,7]=>0000000=>8
[4,7,3,8,1,5,2,6]=>0000000=>8
[4,7,3,8,1,2,6,5]=>0000000=>8
[4,7,3,8,1,2,5,6]=>0000000=>8
[5,7,8,3,1,2,4,6]=>0000000=>8
[5,7,8,3,1,2,6,4]=>0000000=>8
[5,7,8,3,1,4,2,6]=>0000000=>8
[5,6,8,3,2,1,4,7]=>0000000=>8
[3,2,7,8,1,5,4,6]=>0000000=>8
[5,7,8,2,1,4,3,6]=>0000000=>8
[6,7,8,1,3,4,2,5]=>0000000=>8
[6,7,8,1,4,3,2,5]=>0000000=>8
[6,7,8,1,4,2,5,3]=>0000000=>8
[6,7,8,1,4,2,3,5]=>0000000=>8
[6,7,8,1,2,5,3,4]=>0000000=>8
[6,7,8,1,2,5,4,3]=>0000000=>8
[6,7,8,1,2,4,5,3]=>0000000=>8
[6,7,8,1,3,2,5,4]=>0000000=>8
[5,7,8,2,1,3,6,4]=>0000000=>8
[3,2,7,8,1,4,6,5]=>0000000=>8
[6,7,8,1,3,2,4,5]=>0000000=>8
[6,7,8,1,2,4,3,5]=>0000000=>8
[6,7,8,1,2,3,5,4]=>0000000=>8
[7,2,8,5,1,6,4,3]=>0000000=>8
[1,3,7,5,2,6,4,8]=>1000001=>1
[1,3,7,5,4,2,6,8]=>1000001=>1
[7,2,8,4,5,6,1,3]=>0000000=>8
[1,6,3,7,5,2,4,8]=>1000001=>1
[6,2,3,8,5,1,7,4]=>0000000=>8
[6,3,2,8,5,1,4,7]=>0000000=>8
[7,4,8,5,2,1,3,6]=>0000000=>8
[4,3,7,1,5,6,8,2]=>0000000=>8
[6,2,5,8,3,7,1,4]=>0000000=>8
[1,5,2,7,4,6,3,8]=>1000001=>1
[5,2,1,8,7,6,3,4]=>0000000=>8
[2,3,4,8,6,1,7,5]=>0000000=>8
[2,3,4,8,6,5,1,7]=>0000000=>8
[1,5,4,6,2,7,3,8]=>1000001=>1
[7,3,5,6,8,4,2,1]=>0000000=>8
[6,3,5,1,8,2,7,4]=>0000000=>8
[5,7,1,6,3,8,4,2]=>0000000=>8
[3,2,4,1,7,8,5,6]=>0001000=>4
[2,5,4,6,1,7,8,3]=>0000000=>8
[7,2,1,4,3,6,5,8]=>0000001=>7
[7,3,4,1,2,6,5,8]=>0000001=>7
[7,4,3,2,1,6,5,8]=>0000001=>7
[7,6,3,2,5,4,1,8]=>0000001=>7
[6,7,3,2,5,4,8,1]=>0000000=>8
[1,8,3,2,5,4,7,6]=>1000000=>1
[1,8,4,5,2,3,7,6]=>1000000=>1
[7,3,5,1,6,2,4,8]=>0000001=>7
[7,2,1,5,6,3,4,8]=>0000001=>7
[7,2,1,6,5,4,3,8]=>0000001=>7
[7,4,6,5,1,3,2,8]=>0000001=>7
[1,8,5,4,3,2,7,6]=>1000000=>1
[1,8,6,4,3,7,2,5]=>1000000=>1
[6,5,7,4,3,1,8,2]=>0000000=>8
[6,3,7,1,5,4,8,2]=>0000000=>8
[3,2,1,8,5,4,7,6]=>0010000=>3
[2,3,8,1,5,4,7,6]=>0000000=>8
[2,5,8,4,3,1,7,6]=>0000000=>8
[2,6,8,4,3,7,1,5]=>0000000=>8
[2,7,8,4,3,6,5,1]=>0000000=>8
[1,8,7,4,3,6,5,2]=>1000000=>1
[1,8,7,5,6,3,4,2]=>1000000=>1
[2,7,8,5,6,3,4,1]=>0000000=>8
[2,6,8,5,7,3,1,4]=>0000000=>8
[2,4,8,6,1,7,3,5]=>0000000=>8
[3,2,1,8,6,7,4,5]=>0010000=>3
[5,3,7,1,6,8,4,2]=>0000000=>8
[5,4,7,6,1,8,3,2]=>0000000=>8
[4,5,7,6,8,1,3,2]=>0000000=>8
[1,8,6,5,7,3,2,4]=>1000000=>1
[1,8,5,6,7,2,3,4]=>1000000=>1
[4,6,5,7,8,2,1,3]=>0000000=>8
[5,4,6,7,1,8,2,3]=>0000000=>8
[5,2,1,6,7,8,3,4]=>0000000=>8
[6,2,1,5,7,3,8,4]=>0000000=>8
[6,3,5,1,7,2,8,4]=>0000000=>8
[5,6,4,7,2,8,1,3]=>0000000=>8
[1,8,4,6,2,7,3,5]=>1000000=>1
[1,8,3,2,6,7,4,5]=>1000000=>1
[6,5,3,2,7,1,8,4]=>0000000=>8
[6,4,3,2,1,7,8,5]=>0000000=>8
[6,2,1,4,3,7,8,5]=>0000000=>8
[4,6,3,2,8,7,1,5]=>0000000=>8
[4,7,3,2,8,6,5,1]=>0000000=>8
[1,8,3,2,7,6,5,4]=>1000000=>1
[1,8,4,7,2,6,5,3]=>1000000=>1
[3,6,4,8,2,7,1,5]=>0000000=>8
[3,4,5,8,1,2,7,6]=>0000000=>8
[4,2,1,5,8,3,7,6]=>0000000=>8
[4,2,1,6,8,7,3,5]=>0000000=>8
[3,4,6,8,1,7,2,5]=>0000000=>8
[3,5,6,8,7,1,2,4]=>0000000=>8
[3,6,5,8,7,2,1,4]=>0000000=>8
[1,8,5,7,6,2,4,3]=>1000000=>1
[1,8,6,7,5,4,2,3]=>1000000=>1
[3,6,7,8,5,4,1,2]=>0000000=>8
[3,5,7,8,6,1,4,2]=>0000000=>8
[3,4,7,8,1,6,5,2]=>0000000=>8
[4,2,1,7,8,6,5,3]=>0000000=>8
[2,3,8,1,7,6,5,4]=>0000000=>8
[2,4,8,7,1,6,5,3]=>0000000=>8
[2,1,4,3,6,5,8,7,10,9,12,11]=>01010101010=>2
[2,1,4,3,6,5,10,9,8,7,12,11]=>01010100010=>2
[2,1,4,3,8,7,6,5,10,9,12,11]=>01010001010=>2
[2,1,4,3,8,7,6,5,12,11,10,9]=>01010001000=>2
[2,1,6,5,4,3,8,7,10,9,12,11]=>01000101010=>2
[2,1,6,5,4,3,8,7,12,11,10,9]=>01000101000=>2
[2,1,6,5,4,3,10,9,8,7,12,11]=>01000100010=>2
[2,1,8,5,4,7,6,3,12,11,10,9]=>01000001000=>2
[2,1,12,5,4,7,6,9,8,11,10,3]=>01000000000=>2
[2,1,12,5,4,7,6,11,10,9,8,3]=>01000000000=>2
[2,1,12,5,4,9,8,7,6,11,10,3]=>01000000000=>2
[2,1,12,5,4,11,8,7,10,9,6,3]=>01000000000=>2
[2,1,12,5,4,11,10,9,8,7,6,3]=>01000000000=>2
[2,1,8,7,6,5,4,3,12,11,10,9]=>01000001000=>2
[2,1,12,7,6,5,4,9,8,11,10,3]=>01000000000=>2
[2,1,12,7,6,5,4,11,10,9,8,3]=>01000000000=>2
[2,1,12,9,6,5,8,7,4,11,10,3]=>01000000000=>2
[2,1,12,11,6,5,8,7,10,9,4,3]=>01000000000=>2
[2,1,12,11,6,5,10,9,8,7,4,3]=>01000000000=>2
[2,1,12,9,8,7,6,5,4,11,10,3]=>01000000000=>2
[2,1,12,11,8,7,6,5,10,9,4,3]=>01000000000=>2
[2,1,12,11,10,7,6,9,8,5,4,3]=>01000000000=>2
[2,1,12,11,10,9,8,7,6,5,4,3]=>01000000000=>2
[4,3,2,1,6,5,8,7,12,11,10,9]=>00010101000=>4
[4,3,2,1,6,5,10,9,8,7,12,11]=>00010100010=>4
[4,3,2,1,8,7,6,5,10,9,12,11]=>00010001010=>4
[4,3,2,1,8,7,6,5,12,11,10,9]=>00010001000=>4
[4,3,2,1,10,7,6,9,8,5,12,11]=>00010000010=>4
[4,3,2,1,10,9,8,7,6,5,12,11]=>00010000010=>4
[6,3,2,5,4,1,12,9,8,11,10,7]=>00000100000=>6
[6,3,2,5,4,1,12,11,10,9,8,7]=>00000100000=>6
[10,3,2,5,4,7,6,9,8,1,12,11]=>00000000010=>10
[10,3,2,5,4,9,8,7,6,1,12,11]=>00000000010=>10
[10,3,2,7,6,5,4,9,8,1,12,11]=>00000000010=>10
[10,3,2,9,6,5,8,7,4,1,12,11]=>00000000010=>10
[10,3,2,9,8,7,6,5,4,1,12,11]=>00000000010=>10
[6,5,4,3,2,1,12,9,8,11,10,7]=>00000100000=>6
[6,5,4,3,2,1,12,11,10,9,8,7]=>00000100000=>6
[10,5,4,3,2,7,6,9,8,1,12,11]=>00000000010=>10
[10,5,4,3,2,9,8,7,6,1,12,11]=>00000000010=>10
[10,7,4,3,6,5,2,9,8,1,12,11]=>00000000010=>10
[10,9,4,3,6,5,8,7,2,1,12,11]=>00000000010=>10
[10,9,4,3,8,7,6,5,2,1,12,11]=>00000000010=>10
[10,7,6,5,4,3,2,9,8,1,12,11]=>00000000010=>10
[10,9,6,5,4,3,8,7,2,1,12,11]=>00000000010=>10
[10,9,8,5,4,7,6,3,2,1,12,11]=>00000000010=>10
[10,9,8,7,6,5,4,3,2,1,12,11]=>00000000010=>10
[4,6,2,1,7,5,8,3]=>0000000=>8
[3,6,8,4,1,7,5,2]=>0000000=>8
[7,5,6,1,8,3,4,2]=>0000000=>8
[3,4,6,5,7,1,8,2]=>0000000=>8
[6,7,5,1,8,4,3,2]=>0000000=>8
[6,8,4,1,7,5,3,2]=>0000000=>8
[2,8,4,1,6,7,5,3]=>0000000=>8
[2,4,6,1,7,5,8,3]=>0000000=>8
[4,8,2,6,5,7,1,3]=>0000000=>8
[4,6,1,2,7,5,8,3]=>0000000=>8
[7,5,1,2,6,8,4,3]=>0000000=>8
[6,7,1,5,8,2,3,4]=>0000000=>8
[3,6,7,1,5,8,2,4]=>0000000=>8
[8,4,1,6,7,5,2,3]=>0000000=>8
[1,7,6,2,5,8,3,4]=>1000000=>1
[7,6,2,1,5,8,3,4]=>0000000=>8
[8,3,1,5,7,6,2,4]=>0000000=>8
[6,2,4,1,7,5,8,3]=>0000000=>8
[6,2,5,1,7,4,8,3]=>0000000=>8
[8,3,5,7,6,2,1,4]=>0000000=>8
[8,4,2,6,7,5,1,3]=>0000000=>8
[6,1,4,2,7,5,8,3]=>0000000=>8
[3,6,8,2,5,7,1,4]=>0000000=>8
[8,3,2,5,7,6,1,4]=>0000000=>8
[4,2,1,3,7,6,8,5]=>0001000=>4
[2,5,1,3,7,6,8,4]=>0000000=>8
[3,1,2,4,7,6,8,5]=>0011000=>3
[10,8,9,5,6,7,1,2,3,4]=>000000000=>10
[10,8,9,4,5,6,1,2,3,7]=>000000000=>10
[10,7,8,5,6,9,1,2,3,4]=>000000000=>10
[10,7,8,4,5,9,1,2,3,6]=>000000000=>10
[10,6,7,4,5,8,1,2,3,9]=>000000000=>10
[10,7,8,3,4,9,1,2,5,6]=>000000000=>10
[10,6,7,3,4,8,1,2,5,9]=>000000000=>10
[9,8,10,5,6,7,1,2,3,4]=>000000000=>10
[9,8,10,4,5,6,1,2,3,7]=>000000000=>10
[9,7,10,5,6,8,1,2,3,4]=>000000000=>10
[9,7,10,4,5,8,1,2,3,6]=>000000000=>10
[9,6,10,4,5,7,1,2,3,8]=>000000000=>10
[9,7,10,3,4,8,1,2,5,6]=>000000000=>10
[9,6,10,3,4,7,1,2,5,8]=>000000000=>10
[8,7,9,5,6,10,1,2,3,4]=>000000000=>10
[8,7,9,4,5,10,1,2,3,6]=>000000000=>10
[8,6,9,4,5,10,1,2,3,7]=>000000000=>10
[7,6,8,4,5,9,1,2,3,10]=>000000001=>9
[8,7,9,3,4,10,1,2,5,6]=>000000000=>10
[8,6,9,3,4,10,1,2,5,7]=>000000000=>10
[7,6,8,3,4,9,1,2,5,10]=>000000001=>9
[9,6,10,5,7,8,1,2,3,4]=>000000000=>10
[9,6,10,4,7,8,1,2,3,5]=>000000000=>10
[9,5,10,4,6,7,1,2,3,8]=>000000000=>10
[9,6,10,3,7,8,1,2,4,5]=>000000000=>10
[9,5,10,3,6,7,1,2,4,8]=>000000000=>10
[8,6,9,5,7,10,1,2,3,4]=>000000000=>10
[8,6,9,4,7,10,1,2,3,5]=>000000000=>10
[8,5,9,4,6,10,1,2,3,7]=>000000000=>10
[7,5,8,4,6,9,1,2,3,10]=>000000001=>9
[8,6,9,3,7,10,1,2,4,5]=>000000000=>10
[8,5,9,3,6,10,1,2,4,7]=>000000000=>10
[7,5,8,3,6,9,1,2,4,10]=>000000001=>9
[8,4,9,3,5,10,1,2,6,7]=>000000000=>10
[7,4,8,3,5,9,1,2,6,10]=>000000001=>9
[9,6,10,2,7,8,1,3,4,5]=>000000000=>10
[9,5,10,2,6,7,1,3,4,8]=>000000000=>10
[8,6,9,2,7,10,1,3,4,5]=>000000000=>10
[8,5,9,2,6,10,1,3,4,7]=>000000000=>10
[7,5,8,2,6,9,1,3,4,10]=>000000001=>9
[8,4,9,2,5,10,1,3,6,7]=>000000000=>10
[7,4,8,2,5,9,1,3,6,10]=>000000001=>9
[8,1,2,4,3,6,5,7]=>0000000=>8
[8,1,3,5,6,2,7,4]=>0000000=>8
[8,1,3,4,2,6,7,5]=>0000000=>8
[8,1,3,2,4,5,7,6]=>0000000=>8
[2,7,8,3,4,5,6,1]=>0000000=>8
[2,6,3,8,4,5,7,1]=>0000000=>8
[6,3,2,1,4,5,8,7]=>0000010=>6
[7,3,1,4,2,6,8,5]=>0000000=>8
[7,4,1,5,6,8,2,3]=>0000000=>8
[4,7,8,5,6,1,2,3]=>0000000=>8
[3,7,8,5,6,2,1,4]=>0000000=>8
[3,7,8,4,2,6,1,5]=>0000000=>8
[3,7,8,2,4,5,1,6]=>0000000=>8
[3,6,2,8,4,5,1,7]=>0000000=>8
[2,3,6,7,4,5,8,1]=>0000000=>8
[3,5,2,4,8,6,1,7]=>0000000=>8
[3,5,4,2,8,7,1,6]=>0000000=>8
[4,6,5,8,7,1,2,3]=>0000000=>8
[6,4,5,1,7,8,2,3]=>0000000=>8
[7,4,1,2,3,8,5,6]=>0000000=>8
[6,2,4,1,3,7,5,8]=>0000001=>7
[2,6,4,8,3,7,5,1]=>0000000=>8
[2,6,5,8,7,3,4,1]=>0000000=>8
[6,2,5,1,7,3,4,8]=>0000001=>7
[6,5,2,1,8,3,4,7]=>0000000=>8
[2,5,6,7,8,3,4,1]=>0000000=>8
[2,4,6,7,3,8,5,1]=>0000000=>8
[4,2,6,7,3,1,5,8]=>0000001=>7
[4,7,8,2,3,1,5,6]=>0000000=>8
[4,7,8,3,2,1,6,5]=>0000000=>8
[5,6,4,8,1,7,2,3]=>0000000=>8
[5,6,3,8,1,2,7,4]=>0000000=>8
[4,2,5,3,7,1,6,8]=>0000001=>7
[4,3,6,7,2,1,8,5]=>0000000=>8
[3,4,6,7,2,8,1,5]=>0000000=>8
[3,4,5,2,7,8,1,6]=>0000000=>8
[3,4,2,5,6,8,1,7]=>0000000=>8
[5,2,7,8,6,4,1,3]=>0000000=>8
[5,1,2,7,8,6,4,3]=>0000000=>8
[4,7,1,8,6,5,2,3]=>0000000=>8
[4,7,1,2,8,6,5,3]=>0000000=>8
[4,6,8,1,2,7,5,3]=>0000000=>8
[6,8,7,1,5,3,2,4]=>0000000=>8
[6,8,7,3,5,1,2,4]=>0000000=>8
[7,8,1,6,3,5,2,4]=>0000000=>8
[7,8,1,3,6,5,2,4]=>0000000=>8
[7,8,3,6,5,2,1,4]=>0000000=>8
[4,7,2,8,6,1,5,3]=>0000000=>8
[1,7,3,4,8,6,5,2]=>1000000=>1
[4,2,7,1,8,6,5,3]=>0000000=>8
[7,8,2,3,6,5,1,4]=>0000000=>8
[8,5,7,1,6,2,3,4]=>0000000=>8
[8,5,7,1,2,6,3,4]=>0000000=>8
[6,8,2,7,1,3,5,4]=>0000000=>8
[6,8,7,2,5,3,1,4]=>0000000=>8
[6,2,4,8,7,1,5,3]=>0000000=>8
[1,6,8,3,7,4,5,2]=>1000000=>1
[1,6,8,3,4,7,5,2]=>1000000=>1
[6,2,4,8,1,7,5,3]=>0000000=>8
[6,8,7,2,3,5,1,4]=>0000000=>8
[6,8,2,1,7,3,5,4]=>0000000=>8
[8,5,7,2,1,6,3,4]=>0000000=>8
[8,5,7,1,2,3,6,4]=>0000000=>8
[8,7,6,2,1,4,3,5]=>0000000=>8
[8,5,7,2,3,1,6,4]=>0000000=>8
[5,8,4,2,7,1,6,3]=>0000000=>8
[1,8,7,5,3,4,6,2]=>1000000=>1
[1,8,7,3,5,4,6,2]=>1000000=>1
[8,2,5,4,7,1,6,3]=>0000000=>8
[8,5,2,7,3,1,6,4]=>0000000=>8
[8,7,6,2,4,3,1,5]=>0000000=>8
[8,7,6,1,2,4,3,5]=>0000000=>8
[8,7,6,1,4,2,3,5]=>0000000=>8
[8,7,6,4,1,3,2,5]=>0000000=>8
[5,8,4,7,2,1,6,3]=>0000000=>8
[1,8,7,5,4,3,6,2]=>1000000=>1
[1,6,8,4,3,7,5,2]=>1000000=>1
[6,8,7,3,2,5,1,4]=>0000000=>8
[6,8,1,7,3,2,5,4]=>0000000=>8
[8,5,7,3,1,6,2,4]=>0000000=>8
[8,5,7,1,3,2,6,4]=>0000000=>8
[8,5,7,3,1,2,6,4]=>0000000=>8
[5,8,4,7,1,2,6,3]=>0000000=>8
[5,8,4,1,7,2,6,3]=>0000000=>8
[5,8,4,7,1,6,2,3]=>0000000=>8
[8,1,2,6,5,7,4,3]=>0000000=>8
[8,2,5,6,7,4,1,3]=>0000000=>8
[4,8,5,7,1,6,2,3]=>0000000=>8
[4,8,5,7,1,2,6,3]=>0000000=>8
[4,8,5,1,7,2,6,3]=>0000000=>8
[8,5,3,1,7,2,6,4]=>0000000=>8
[8,5,3,7,1,2,6,4]=>0000000=>8
[6,8,1,3,7,2,5,4]=>0000000=>8
[4,6,2,8,1,7,5,3]=>0000000=>8
[1,6,4,8,3,7,5,2]=>1000000=>1
[1,8,7,4,5,3,6,2]=>1000000=>1
[4,8,5,7,2,1,6,3]=>0000000=>8
[8,5,3,7,2,1,6,4]=>0000000=>8
[8,7,6,3,1,4,2,5]=>0000000=>8
[8,7,6,1,3,2,4,5]=>0000000=>8
[8,5,3,2,7,1,6,4]=>0000000=>8
[4,8,5,2,7,1,6,3]=>0000000=>8
[1,8,7,4,3,5,6,2]=>1000000=>1
[1,8,7,3,4,5,6,2]=>1000000=>1
[8,2,4,5,7,1,6,3]=>0000000=>8
[8,5,2,3,7,1,6,4]=>0000000=>8
[8,3,1,5,2,7,6,4]=>0000000=>8
[8,7,4,1,6,3,2,5]=>0000000=>8
[8,7,4,1,6,3,5,2]=>0000000=>8
[8,7,4,1,6,5,3,2]=>0000000=>8
[8,3,2,5,1,7,4,6]=>0000000=>8
[8,5,4,3,1,7,2,6]=>0000000=>8
[8,7,4,1,6,5,2,3]=>0000000=>8
[8,7,4,1,6,2,5,3]=>0000000=>8
[8,7,6,5,2,1,4,3]=>0000000=>8
[8,7,4,3,6,2,1,5]=>0000000=>8
[8,3,2,7,6,4,1,5]=>0000000=>8
[2,1,8,7,6,4,5,3]=>0100000=>2
[8,3,2,7,6,4,5,1]=>0000000=>8
[8,5,4,2,3,7,6,1]=>0000000=>8
[8,7,4,2,6,3,5,1]=>0000000=>8
[8,7,4,2,6,3,1,5]=>0000000=>8
[8,3,1,7,6,5,4,2]=>0000000=>8
[8,3,1,5,4,7,6,2]=>0000000=>8
[8,3,1,5,4,7,2,6]=>0000000=>8
[8,3,2,5,4,7,1,6]=>0000000=>8
[8,7,6,5,3,1,4,2]=>0000000=>8
[8,7,6,5,1,3,2,4]=>0000000=>8
[8,7,6,5,1,4,3,2]=>0000000=>8
[8,7,6,5,4,1,3,2]=>0000000=>8
[8,3,2,7,6,1,5,4]=>0000000=>8
[2,1,8,7,6,3,5,4]=>0100000=>2
[8,3,2,7,6,1,4,5]=>0000000=>8
[8,7,6,5,1,4,2,3]=>0000000=>8
[7,3,5,1,8,4,6,2]=>0000000=>8
[4,5,6,2,1,8,7,3]=>0000000=>8
[1,6,5,2,7,4,3,8]=>1000001=>1
[7,4,3,1,8,6,5,2]=>0000000=>8
[7,6,5,1,8,4,3,2]=>0000000=>8
[6,4,2,1,8,7,5,3]=>0000000=>8
[1,5,3,2,7,6,4,8]=>1000001=>1
[5,3,2,1,8,7,6,4]=>0000000=>8
[2,6,4,1,7,8,5,3]=>0000000=>8
[2,6,5,1,7,8,4,3]=>0000000=>8
[6,4,1,2,8,5,3,7]=>0000000=>8
[4,3,1,2,8,6,5,7]=>0001000=>4
[6,1,2,5,8,3,4,7]=>0000000=>8
[7,1,3,4,8,2,5,6]=>0000000=>8
[2,6,1,5,7,8,3,4]=>0000000=>8
[5,2,3,1,8,6,7,4]=>0000000=>8
[1,6,2,5,7,3,4,8]=>1000001=>1
[6,2,1,5,8,7,3,4]=>0000000=>8
[6,2,5,1,8,4,7,3]=>0000000=>8
[7,3,1,4,8,6,2,5]=>0000000=>8
[6,2,1,4,8,7,3,5]=>0000000=>8
[5,2,1,3,8,7,4,6]=>0000000=>8
[7,5,1,3,8,4,2,6]=>0000000=>8
[3,6,7,1,4,8,2,5]=>0000000=>8
[7,6,1,4,8,3,2,5]=>0000000=>8
[4,2,1,3,8,7,5,6]=>0001000=>4
[2,6,1,4,7,8,3,5]=>0000000=>8
[7,1,4,6,8,2,3,5]=>0000000=>8
[7,1,3,5,8,2,4,6]=>0000000=>8
[7,4,5,2,3,1,8,6]=>0000000=>8
[8,6,7,3,5,2,4,1]=>0000000=>8
[6,3,5,2,4,1,8,7]=>0000010=>6
[5,2,7,3,4,1,8,6]=>0000000=>8
[5,2,8,6,7,3,4,1]=>0000000=>8
[6,2,7,3,4,1,8,5]=>0000000=>8
[3,1,8,6,7,4,5,2]=>0000000=>8
[8,5,7,3,4,1,6,2]=>0000000=>8
[8,4,7,3,5,1,6,2]=>0000000=>8
[4,1,8,5,7,3,6,2]=>0000000=>8
[2,1,8,5,7,4,6,3]=>0100000=>2
[6,2,7,3,5,1,8,4]=>0000000=>8
[6,2,8,4,7,3,5,1]=>0000000=>8
[8,4,7,3,6,2,5,1]=>0000000=>8
[7,3,6,2,5,1,8,4]=>0000000=>8
[6,2,5,1,7,3,8,4]=>0000000=>8
[5,2,4,1,7,3,8,6]=>0000000=>8
[6,2,4,1,7,3,8,5]=>0000000=>8
[8,5,7,3,6,2,4,1]=>0000000=>8
[8,5,7,4,6,2,3,1]=>0000000=>8
[8,5,6,2,3,1,7,4]=>0000000=>8
[7,4,8,5,6,2,3,1]=>0000000=>8
[7,3,8,5,6,2,4,1]=>0000000=>8
[3,1,5,2,8,6,7,4]=>0000000=>8
[2,1,6,3,8,5,7,4]=>0100000=>2
[3,1,6,2,8,5,7,4]=>0000000=>8
[4,1,6,2,8,5,7,3]=>0000000=>8
[5,1,6,2,8,4,7,3]=>0000000=>8
[7,3,8,4,6,2,5,1]=>0000000=>8
[5,1,8,4,6,2,7,3]=>0000000=>8
[4,1,8,5,6,2,7,3]=>0000000=>8
[3,1,8,5,6,2,7,4]=>0000000=>8
[4,1,7,3,8,5,6,2]=>0000000=>8
[7,3,8,4,5,1,6,2]=>0000000=>8
[7,3,6,2,8,4,5,1]=>0000000=>8
[7,8,5,6,1,3,4,2]=>0000000=>8
[7,8,1,3,6,2,5,4]=>0000000=>8
[1,3,8,4,7,2,5,6]=>1000000=>1
[3,6,1,4,7,2,5,8]=>0000001=>7
[4,6,1,2,5,7,3,8]=>0000001=>7
[1,4,8,2,5,7,3,6]=>1000000=>1
[7,8,2,4,5,6,1,3]=>0000000=>8
[7,8,1,5,4,6,3,2]=>0000000=>8
[7,8,2,1,6,3,4,5]=>0000000=>8
[7,8,3,5,6,4,1,2]=>0000000=>8
[7,8,1,4,2,3,6,5]=>0000000=>8
[7,8,5,1,4,2,6,3]=>0000000=>8
[7,8,4,5,3,1,6,2]=>0000000=>8
[1,5,8,4,3,2,7,6]=>1000000=>1
[5,6,1,4,3,2,7,8]=>0000011=>6
[2,6,4,8,3,7,1,5]=>0000000=>8
[1,4,6,8,3,7,5,2]=>1000000=>1
[2,4,8,5,3,1,6,7]=>0000000=>8
[2,5,8,1,4,7,6,3]=>0000000=>8
[3,5,8,4,7,6,1,2]=>0000000=>8
[1,6,2,4,7,3,8,5]=>1000000=>1
[5,6,2,1,4,7,8,3]=>0000000=>8
[4,6,2,5,3,1,8,7]=>0000010=>6
[4,7,5,1,3,6,8,2]=>0000000=>8
[7,5,3,6,2,4,1,8]=>0000001=>7
[5,7,3,6,1,4,8,2]=>0000000=>8
[5,3,6,7,2,1,8,4]=>0000000=>8
[6,1,7,5,2,4,8,3]=>0000000=>8
[6,3,1,2,4,5,8,7]=>0000010=>6
[1,4,7,2,5,3,8,6]=>1000000=>1
[4,6,7,8,3,5,1,2]=>0000000=>8
[3,6,1,8,4,2,5,7]=>0000000=>8
[1,6,7,5,8,2,4,3]=>1000000=>1
[3,5,6,7,8,1,4,2]=>0000000=>8
[3,6,5,7,8,2,1,4]=>0000000=>8
[5,2,7,6,1,4,3,8]=>0000001=>7
[2,5,7,6,8,1,3,4]=>0000000=>8
[2,7,5,6,8,4,1,3]=>0000000=>8
[2,1,6,8,4,5,3,7]=>0100000=>2
[2,7,1,8,5,3,4,6]=>0000000=>8
[3,7,6,8,5,4,1,2]=>0000000=>8
[4,3,8,5,6,7,1,2]=>0000000=>8
[4,2,8,1,6,3,7,5]=>0000000=>8
[3,1,8,5,4,6,7,2]=>0000000=>8
[3,2,8,4,5,6,1,7]=>0000000=>8
[3,4,2,8,6,1,7,5]=>0000000=>8
[3,4,7,1,5,2,6,8]=>0000001=>7
[4,3,7,8,1,2,6,5]=>0000000=>8
[1,7,3,8,5,2,6,4]=>1000000=>1
[4,1,8,3,6,2,5,7]=>0000000=>8
[5,7,8,6,3,2,1,4]=>0000000=>8
[5,7,8,6,1,3,4,2]=>0000000=>8
[7,6,5,8,1,3,4,2]=>0000000=>8
[1,6,4,3,8,2,5,7]=>1000000=>1
[7,1,3,4,8,2,6,5]=>0000000=>8
[3,6,5,4,1,2,7,8]=>0000011=>6
[2,4,5,1,7,8,6,3]=>0000000=>8
[2,6,3,4,5,8,1,7]=>0000000=>8
[2,6,4,1,8,3,7,5]=>0000000=>8
[7,3,6,4,8,5,1,2]=>0000000=>8
[7,2,1,4,8,3,5,6]=>0000000=>8
[7,1,6,5,3,8,4,2]=>0000000=>8
[7,2,5,6,3,8,1,4]=>0000000=>8
[6,5,2,7,1,8,4,3]=>0000000=>8
[5,6,2,7,3,1,4,8]=>0000001=>7
[5,6,7,4,2,8,1,3]=>0000000=>8
[5,7,6,4,1,8,3,2]=>0000000=>8
[6,7,1,5,2,8,3,4]=>0000000=>8
[1,7,5,2,4,8,3,6]=>1000000=>1
[6,1,5,2,8,3,4,7]=>0000000=>8
[6,7,5,3,8,4,1,2]=>0000000=>8
[1,6,5,4,2,3,8,7]=>1000010=>1
[7,1,5,3,4,2,8,6]=>0000000=>8
[7,6,1,5,3,2,8,4]=>0000000=>8
[7,5,6,4,1,2,8,3]=>0000000=>8
[6,7,5,4,3,1,8,2]=>0000000=>8
[7,5,2,4,3,1,6,8]=>0000001=>7
[7,4,6,1,2,5,3,8]=>0000001=>7
[7,1,4,2,5,3,6,8]=>0000001=>7
[6,8,1,4,2,5,7,3]=>0000000=>8
[1,6,4,2,5,7,3,8]=>1000001=>1
[1,6,3,7,5,4,2,8]=>1000001=>1
[6,8,1,3,7,5,4,2]=>0000000=>8
[7,1,3,5,6,4,2,8]=>0000001=>7
[7,3,1,6,4,5,2,8]=>0000001=>7
[7,4,2,6,5,1,3,8]=>0000001=>7
[7,4,6,3,1,5,2,8]=>0000001=>7
[7,2,4,1,5,3,6,8]=>0000001=>7
[7,2,3,5,4,1,6,8]=>0000001=>7
[6,8,1,2,3,4,7,5]=>0000000=>8
[1,5,7,2,3,8,6,4]=>1000000=>1
[5,1,8,2,3,6,7,4]=>0000000=>8
[5,8,2,3,7,6,4,1]=>0000000=>8
[6,2,8,1,3,7,4,5]=>0000000=>8
[6,8,2,3,5,4,7,1]=>0000000=>8
[6,8,2,4,1,5,7,3]=>0000000=>8
[6,8,3,1,2,4,7,5]=>0000000=>8
[2,6,4,1,5,7,3,8]=>0000001=>7
[2,6,3,5,7,1,4,8]=>0000001=>7
[2,5,1,7,8,3,6,4]=>0000000=>8
[2,5,3,6,8,4,7,1]=>0000000=>8
[2,1,4,7,8,5,6,3]=>0100000=>2
[2,4,7,6,8,5,1,3]=>0000000=>8
[2,5,3,7,6,1,8,4]=>0000000=>8
[2,5,7,8,1,4,6,3]=>0000000=>8
[3,5,7,4,1,6,2,8]=>0000001=>7
[5,3,4,1,8,6,7,2]=>0000000=>8
[5,2,8,4,6,1,7,3]=>0000000=>8
[5,2,1,8,6,3,7,4]=>0000000=>8
[4,2,8,6,5,3,7,1]=>0000000=>8
[4,2,8,5,7,6,3,1]=>0000000=>8
[1,4,2,7,5,8,6,3]=>1000000=>1
[4,1,8,6,7,5,3,2]=>0000000=>8
[5,3,8,7,6,2,4,1]=>0000000=>8
[5,8,4,7,6,2,1,3]=>0000000=>8
[5,8,7,4,3,6,1,2]=>0000000=>8
[6,4,8,3,1,7,2,5]=>0000000=>8
[6,4,2,8,7,1,3,5]=>0000000=>8
[6,3,8,7,2,5,1,4]=>0000000=>8
[5,8,3,7,1,6,4,2]=>0000000=>8
[5,1,3,8,6,7,2,4]=>0000000=>8
[1,5,3,7,8,6,2,4]=>1000000=>1
[1,5,7,6,4,2,8,3]=>1000000=>1
[5,8,7,4,1,6,2,3]=>0000000=>8
[6,4,8,1,2,7,3,5]=>0000000=>8
[6,8,5,1,2,3,7,4]=>0000000=>8
[6,8,5,2,4,3,7,1]=>0000000=>8
[6,8,5,3,1,2,7,4]=>0000000=>8
[4,5,1,2,7,6,3,8]=>0000001=>7
[4,5,1,2,6,8,7,3]=>0000000=>8
[3,5,6,1,8,4,7,2]=>0000000=>8
[3,5,7,1,2,8,6,4]=>0000000=>8
[3,6,2,7,5,1,4,8]=>0000001=>7
[4,2,6,1,7,3,5,8]=>0000001=>7
[4,6,3,1,2,7,5,8]=>0000001=>7
[4,5,3,1,7,6,2,8]=>0000001=>7
[4,2,5,7,1,6,3,8]=>0000001=>7
[3,5,2,7,8,1,6,4]=>0000000=>8
[3,1,4,7,5,6,2,8]=>0000001=>7
[3,4,6,5,8,7,1,2]=>0000000=>8
[3,1,4,5,8,6,7,2]=>0000000=>8
[3,4,6,8,5,2,7,1]=>0000000=>8
[3,5,6,2,8,4,7,1]=>0000000=>8
[4,2,5,6,1,8,7,3]=>0000000=>8
[4,5,3,1,6,8,7,2]=>0000000=>8
[2,1,7,5,8,6,4,3]=>0100000=>2
[1,2,7,5,3,8,6,4]=>1100000=>1
[4,1,2,7,3,8,6,5]=>0000000=>8
[6,4,1,7,5,2,3,8]=>0000001=>7
[6,1,3,7,5,2,4,8]=>0000001=>7
[3,1,2,6,8,5,4,7]=>0010000=>3
[3,7,1,2,5,4,8,6]=>0000000=>8
[1,3,7,2,4,8,6,5]=>1000000=>1
[2,4,1,7,8,6,5,3]=>0000000=>8
[3,4,7,5,1,8,6,2]=>0000000=>8
[2,7,4,1,5,8,6,3]=>0000000=>8
[2,3,7,1,5,8,6,4]=>0000000=>8
[5,2,8,1,3,7,4,6]=>0000000=>8
[2,1,6,8,3,4,7,5]=>0100000=>2
[2,6,8,3,1,5,7,4]=>0000000=>8
[2,8,6,4,1,5,7,3]=>0000000=>8
[3,6,4,8,5,1,7,2]=>0000000=>8
[6,3,7,4,5,1,8,2]=>0000000=>8
[2,6,3,7,5,8,1,4]=>0000000=>8
[5,2,1,7,8,3,4,6]=>0000000=>8
[4,7,2,3,6,8,1,5]=>0000000=>8
[5,2,7,3,6,8,1,4]=>0000000=>8
[5,7,4,6,2,8,1,3]=>0000000=>8
[5,7,3,4,6,1,8,2]=>0000000=>8
[5,3,8,4,6,1,7,2]=>0000000=>8
[8,5,2,4,1,6,7,3]=>0000000=>8
[8,2,3,5,1,6,7,4]=>0000000=>8
[4,2,8,3,6,7,1,5]=>0000000=>8
[2,4,8,1,7,3,5,6]=>0000000=>8
[8,4,1,3,6,2,5,7]=>0000000=>8
[4,8,3,1,7,2,5,6]=>0000000=>8
[5,2,8,4,7,1,6,3]=>0000000=>8
[5,8,4,7,3,1,6,2]=>0000000=>8
[4,6,8,3,1,7,5,2]=>0000000=>8
[6,3,8,2,7,1,5,4]=>0000000=>8
[6,3,1,8,2,4,7,5]=>0000000=>8
[5,3,8,1,2,6,4,7]=>0000000=>8
[5,7,4,1,6,2,3,8]=>0000001=>7
[8,5,4,1,2,6,3,7]=>0000000=>8
[5,1,8,4,2,7,3,6]=>0000000=>8
[1,6,2,8,5,3,7,4]=>1000000=>1
[6,8,5,3,1,7,4,2]=>0000000=>8
[8,4,5,1,2,6,3,7]=>0000000=>8
[5,6,3,7,1,2,4,8]=>0000001=>7
[1,6,3,7,2,8,4,5]=>1000000=>1
[6,3,2,7,8,5,1,4]=>0000000=>8
[4,5,7,8,3,1,6,2]=>0000000=>8
[4,7,2,5,8,1,6,3]=>0000000=>8
[8,1,3,4,6,2,5,7]=>0000000=>8
[3,8,2,4,6,7,1,5]=>0000000=>8
[3,5,6,8,2,7,1,4]=>0000000=>8
[2,4,5,6,8,1,7,3]=>0000000=>8
[4,8,3,5,6,1,7,2]=>0000000=>8
[5,6,2,3,7,8,1,4]=>0000000=>8
[5,8,7,3,4,1,2,6]=>0000000=>8
[6,8,7,3,4,1,2,5]=>0000000=>8
[6,8,4,7,1,5,3,2]=>0000000=>8
[6,8,4,7,2,5,3,1]=>0000000=>8
[5,4,8,7,2,6,3,1]=>0000000=>8
[5,4,8,7,1,6,3,2]=>0000000=>8
[5,3,8,7,6,1,2,4]=>0000000=>8
[4,3,8,7,6,1,2,5]=>0000000=>8
[4,8,3,7,5,1,2,6]=>0000000=>8
[8,3,4,6,5,1,2,7]=>0000000=>8
[3,8,4,7,5,1,2,6]=>0000000=>8
[3,4,8,7,6,1,2,5]=>0000000=>8
[3,5,8,7,6,1,2,4]=>0000000=>8
[4,5,8,7,6,1,2,3]=>0000000=>8
[4,5,8,7,1,6,3,2]=>0000000=>8
[4,5,8,7,2,6,3,1]=>0000000=>8
[3,5,8,2,7,6,4,1]=>0000000=>8
[3,5,8,1,7,6,4,2]=>0000000=>8
[2,5,8,1,7,6,4,3]=>0000000=>8
[2,5,8,7,1,6,3,4]=>0000000=>8
[2,4,8,7,1,6,3,5]=>0000000=>8
[2,8,4,7,1,5,3,6]=>0000000=>8
[8,2,4,6,1,5,3,7]=>0000000=>8
[8,1,4,6,2,5,3,7]=>0000000=>8
[1,8,4,7,2,5,3,6]=>1000000=>1
[1,4,8,7,2,6,3,5]=>1000000=>1
[1,5,8,7,2,6,3,4]=>1000000=>1
[1,5,8,2,7,6,4,3]=>1000000=>1
[2,5,8,3,7,6,4,1]=>0000000=>8
[1,4,2,8,7,6,5,3]=>1000000=>1
[1,3,8,2,7,6,4,5]=>1000000=>1
[1,8,3,2,7,5,4,6]=>1000000=>1
[8,1,3,2,6,5,4,7]=>0000000=>8
[8,2,3,1,6,5,4,7]=>0000000=>8
[2,8,3,1,7,5,4,6]=>0000000=>8
[2,3,8,1,7,6,4,5]=>0000000=>8
[3,4,1,8,7,6,5,2]=>0000000=>8
[4,3,1,8,7,6,5,2]=>0000000=>8
[4,2,1,8,7,6,5,3]=>0000000=>8
[3,8,2,1,7,5,4,6]=>0000000=>8
[8,3,2,1,6,5,4,7]=>0000000=>8
[8,4,2,6,1,5,3,7]=>0000000=>8
[4,2,8,7,1,6,3,5]=>0000000=>8
[5,2,8,7,1,6,3,4]=>0000000=>8
[5,2,8,1,7,6,4,3]=>0000000=>8
[5,3,8,1,7,6,4,2]=>0000000=>8
[5,3,8,2,7,6,4,1]=>0000000=>8
[6,8,3,2,7,5,4,1]=>0000000=>8
[6,8,3,1,7,5,4,2]=>0000000=>8
[6,8,2,1,7,5,4,3]=>0000000=>8
[6,8,2,7,1,5,3,4]=>0000000=>8
[6,8,7,2,1,4,3,5]=>0000000=>8
[8,5,6,1,2,4,3,7]=>0000000=>8
[5,8,7,1,2,4,3,6]=>0000000=>8
[6,8,1,2,7,5,4,3]=>0000000=>8
[6,8,2,3,7,5,4,1]=>0000000=>8
[5,2,8,3,7,6,4,1]=>0000000=>8
[5,1,8,3,7,6,4,2]=>0000000=>8
[5,1,8,7,2,6,3,4]=>0000000=>8
[4,1,8,7,2,6,3,5]=>0000000=>8
[4,8,1,7,2,5,3,6]=>0000000=>8
[8,4,1,6,2,5,3,7]=>0000000=>8
[8,3,1,2,6,5,4,7]=>0000000=>8
[3,8,1,2,7,5,4,6]=>0000000=>8
[3,1,8,2,7,6,4,5]=>0000000=>8
[3,1,2,8,7,6,5,4]=>0010000=>3
[4,1,3,8,7,6,5,2]=>0000000=>8
[3,1,4,8,7,6,5,2]=>0000000=>8
[2,1,8,3,7,6,4,5]=>0100000=>2
[2,8,1,3,7,5,4,6]=>0000000=>8
[8,2,1,3,6,5,4,7]=>0000000=>8
[8,1,2,3,6,5,4,7]=>0000000=>8
[1,8,2,3,7,5,4,6]=>1000000=>1
[1,2,8,3,7,6,4,5]=>1100000=>1
[1,4,3,6,8,2,5,7]=>1000000=>1
[3,1,6,2,5,8,4,7]=>0000000=>8
[3,5,1,8,2,4,7,6]=>0000000=>8
[1,4,5,2,8,3,7,6]=>1000000=>1
[1,4,2,6,5,8,3,7]=>1000000=>1
[1,5,4,2,6,8,3,7]=>1000000=>1
[3,1,6,5,8,2,4,7]=>0000000=>8
[1,6,4,2,5,8,3,7]=>1000000=>1
[1,5,2,6,4,8,3,7]=>1000000=>1
[1,2,6,5,4,8,3,7]=>1100000=>1
[1,2,5,4,7,3,8,6]=>1100000=>1
[4,1,2,6,3,8,7,5]=>0000000=>8
[7,1,5,4,2,8,3,6]=>0000000=>8
[1,4,7,5,2,8,3,6]=>1000000=>1
[7,1,3,5,2,8,4,6]=>0000000=>8
[7,2,5,1,8,3,4,6]=>0000000=>8
[1,4,5,2,8,7,3,6]=>1000000=>1
[1,6,4,2,8,3,7,5]=>1000000=>1
[1,4,2,8,3,7,6,5]=>1000000=>1
[1,2,5,3,8,7,6,4]=>1100000=>1
[1,2,8,6,5,3,7,4]=>1100000=>1
[1,5,2,8,6,3,7,4]=>1000000=>1
[1,6,4,2,8,7,3,5]=>1000000=>1
[6,2,1,8,7,3,4,5]=>0000000=>8
[7,6,2,1,8,3,4,5]=>0000000=>8
[7,3,1,6,2,8,4,5]=>0000000=>8
[1,7,6,4,2,8,3,5]=>1000000=>1
[1,7,5,2,6,3,8,4]=>1000000=>1
[1,6,2,7,5,3,8,4]=>1000000=>1
[1,2,7,6,5,3,8,4]=>1100000=>1
[1,2,6,5,3,8,7,4]=>1100000=>1
[1,5,2,6,3,8,7,4]=>1000000=>1
[1,5,2,7,6,3,8,4]=>1000000=>1
[1,6,5,2,7,3,8,4]=>1000000=>1
[1,5,7,4,2,8,3,6]=>1000000=>1
[4,1,2,8,6,3,7,5]=>0000000=>8
[3,1,8,6,2,4,7,5]=>0000000=>8
[4,3,7,1,8,2,5,6]=>0000000=>8
[8,3,1,6,2,4,7,5]=>0000000=>8
[7,1,8,3,2,4,6,5]=>0000000=>8
[1,8,7,3,2,4,6,5]=>1000000=>1
[1,4,2,8,7,3,6,5]=>1000000=>1
[1,7,4,2,8,3,6,5]=>1000000=>1
[8,1,5,4,2,7,3,6]=>0000000=>8
[1,4,8,5,2,7,3,6]=>1000000=>1
[8,5,3,1,7,2,4,6]=>0000000=>8
[8,6,2,1,7,3,4,5]=>0000000=>8
[1,8,6,4,2,7,3,5]=>1000000=>1
[1,8,5,2,6,3,7,4]=>1000000=>1
[1,5,2,7,3,8,6,4]=>1000000=>1
[1,2,8,5,3,7,6,4]=>1100000=>1
[1,2,6,3,8,7,5,4]=>1100000=>1
[1,2,7,6,3,8,5,4]=>1100000=>1
[1,6,2,7,3,8,5,4]=>1000000=>1
[1,7,2,8,5,3,6,4]=>1000000=>1
[1,7,4,2,8,6,3,5]=>1000000=>1
[7,1,8,3,2,6,4,5]=>0000000=>8
[7,2,1,8,6,3,4,5]=>0000000=>8
[1,8,7,3,2,6,4,5]=>1000000=>1
[1,4,2,8,7,6,3,5]=>1000000=>1
[1,2,8,7,5,3,6,4]=>1100000=>1
[1,2,8,6,3,7,5,4]=>1100000=>1
[1,2,7,3,8,6,5,4]=>1100000=>1
[8,1,7,6,3,4,5,2]=>0000000=>8
[5,7,1,6,2,4,3,8]=>0000001=>7
[6,1,4,5,3,8,7,2]=>0000000=>8
[6,1,4,8,3,5,7,2]=>0000000=>8
[7,1,8,6,3,4,5,2]=>0000000=>8
[6,3,5,7,2,1,4,8]=>0000001=>7
[6,3,5,8,2,1,7,4]=>0000000=>8
[8,4,5,7,3,6,1,2]=>0000000=>8
[5,8,7,6,2,4,1,3]=>0000000=>8
[5,4,1,8,2,3,7,6]=>0000000=>8
[8,4,1,5,2,6,3,7]=>0000000=>8
[8,3,5,6,2,1,4,7]=>0000000=>8
[2,3,8,5,1,4,7,6]=>0000000=>8
[8,7,5,6,1,4,2,3]=>0000000=>8
[2,6,4,1,8,5,7,3]=>0000000=>8
[2,6,1,3,8,5,7,4]=>0000000=>8
[8,4,1,5,2,3,7,6]=>0000000=>8
[7,8,1,6,3,4,2,5]=>0000000=>8
[6,4,1,8,3,2,7,5]=>0000000=>8
[2,3,4,1,8,7,5,6]=>0001000=>4
[2,3,8,1,6,4,7,5]=>0000000=>8
[1,2,3,4,5,6,7,9,8]=>11111110=>1
[2,1,3,4,5,6,7,8,9]=>01111111=>2
[1,2,3,4,5,6,7,8,10,9]=>111111110=>1
[2,1,3,4,5,6,7,8,9,10]=>011111111=>2
[1,2,3,4,5,6,7,8,9,11,10]=>1111111110=>1
[9,1,2,3,4,5,6,7,10,8]=>000000000=>10
[1,8,2,3,4,5,6,9,7]=>10000000=>1
[7,1,2,3,4,5,6,9,8]=>00000010=>7
[2,1,9,3,4,5,6,7,8]=>01000000=>2
[2,8,1,3,4,5,6,7,9]=>00000001=>8
[2,10,1,3,4,5,6,7,8,9]=>000000000=>10
[2,1,3,4,5,6,7,8,9,10,11]=>0111111111=>2
[8,4,3,6,5,1,7,2]=>0000000=>8
[8,5,6,3,4,1,7,2]=>0000000=>8
[8,6,5,4,3,1,7,2]=>0000000=>8
[1,7,6,5,4,2,3,8]=>1000001=>1
[1,8,6,5,2,7,3,4]=>1000000=>1
[8,7,5,4,1,6,3,2]=>0000000=>8
[7,8,5,4,1,3,6,2]=>0000000=>8
[6,8,5,4,2,1,7,3]=>0000000=>8
[5,8,6,2,4,1,7,3]=>0000000=>8
[4,8,2,6,5,1,7,3]=>0000000=>8
[3,2,8,6,5,1,7,4]=>0000000=>8
[3,2,1,7,6,4,5,8]=>0010001=>3
[4,1,3,7,6,2,5,8]=>0000001=>7
[5,1,7,3,6,2,4,8]=>0000001=>7
[6,1,7,5,3,2,4,8]=>0000001=>7
[7,1,6,5,2,4,3,8]=>0000001=>7
[8,1,6,5,2,3,7,4]=>0000000=>8
[1,2,7,6,3,4,5,8]=>1100001=>1
[1,2,8,3,7,4,5,6]=>1100000=>1
[8,1,7,2,6,3,5,4]=>0000000=>8
[7,1,8,2,6,4,3,5]=>0000000=>8
[6,1,8,2,4,7,3,5]=>0000000=>8
[5,1,8,3,2,7,4,6]=>0000000=>8
[4,1,3,8,2,7,5,6]=>0000000=>8
[3,2,1,8,4,7,5,6]=>0010000=>3
[3,2,8,7,1,6,5,4]=>0000000=>8
[4,8,2,7,1,6,5,3]=>0000000=>8
[5,8,7,2,1,6,4,3]=>0000000=>8
[6,8,7,1,3,5,4,2]=>0000000=>8
[7,8,6,1,5,3,4,2]=>0000000=>8
[8,7,6,1,5,4,3,2]=>0000000=>8
[1,8,7,2,6,5,3,4]=>1000000=>1
[1,7,8,2,5,6,3,4]=>1000000=>1
[8,6,7,1,4,5,3,2]=>0000000=>8
[7,6,8,1,4,3,5,2]=>0000000=>8
[6,5,8,3,2,1,7,4]=>0000000=>8
[7,5,8,3,1,4,6,2]=>0000000=>8
[8,5,7,3,1,6,4,2]=>0000000=>8
[1,6,8,4,2,7,3,5]=>1000000=>1
[1,5,4,8,2,7,3,6]=>1000000=>1
[8,4,3,7,1,6,5,2]=>0000000=>8
[7,4,3,8,1,5,6,2]=>0000000=>8
[6,4,3,1,5,2,7,8]=>0000011=>6
[7,4,3,1,2,6,5,8]=>0000001=>7
[8,4,3,1,2,5,7,6]=>0000000=>8
[1,5,4,2,3,6,7,8]=>1000111=>1
[8,5,1,4,2,3,7,6]=>0000000=>8
[7,5,1,4,2,6,3,8]=>0000001=>7
[6,5,1,4,3,2,7,8]=>0000011=>6
[5,6,1,3,4,2,7,8]=>0000011=>6
[4,6,2,1,5,3,7,8]=>0000011=>6
[3,2,6,1,5,4,7,8]=>0000011=>6
[3,2,7,1,4,6,5,8]=>0000001=>7
[4,7,2,1,3,6,5,8]=>0000001=>7
[5,7,1,3,2,6,4,8]=>0000001=>7
[6,7,1,2,4,5,3,8]=>0000001=>7
[7,6,1,2,5,4,3,8]=>0000001=>7
[8,6,1,2,5,3,7,4]=>0000000=>8
[1,7,2,3,6,4,5,8]=>1000001=>1
[8,7,1,2,3,6,5,4]=>0000000=>8
[7,8,1,2,3,5,6,4]=>0000000=>8
[6,8,1,2,4,3,7,5]=>0000000=>8
[5,8,1,3,2,4,7,6]=>0000000=>8
[4,8,2,1,3,5,7,6]=>0000000=>8
[3,2,8,1,4,5,7,6]=>0000000=>8
[4,1,3,2,5,6,7,8]=>0001111=>4
[5,1,2,4,3,6,7,8]=>0000111=>5
[6,1,2,3,5,4,7,8]=>0000011=>6
[7,1,2,3,4,6,5,8]=>0000001=>7
[8,1,2,3,4,5,7,6]=>0000000=>8
[6,7,3,8,5,1,2,4]=>0000000=>8
[6,7,4,5,1,8,3,2]=>0000000=>8
[5,4,7,6,8,1,2,3]=>0000000=>8
[5,3,7,8,6,1,2,4]=>0000000=>8
[3,8,4,5,7,1,2,6]=>0000000=>8
[3,4,8,6,7,1,2,5]=>0000000=>8
[4,5,6,7,1,8,3,2]=>0000000=>8
[3,5,6,2,7,4,8,1]=>0000000=>8
[3,5,6,1,7,8,4,2]=>0000000=>8
[2,5,6,1,8,7,4,3]=>0000000=>8
[2,5,6,8,1,7,3,4]=>0000000=>8
[8,2,4,5,1,6,3,7]=>0000000=>8
[1,4,8,6,2,3,7,5]=>1000000=>1
[1,5,6,8,2,3,7,4]=>1000000=>1
[1,5,6,2,8,4,7,3]=>1000000=>1
[2,5,6,3,4,7,8,1]=>0000000=>8
[1,4,2,6,8,5,7,3]=>1000000=>1
[8,1,3,2,5,4,6,7]=>0000000=>8
[8,2,3,1,5,6,4,7]=>0000000=>8
[2,8,3,1,5,7,4,6]=>0000000=>8
[2,4,1,6,8,7,5,3]=>0000000=>8
[3,4,1,6,7,8,5,2]=>0000000=>8
[4,3,1,7,6,8,5,2]=>0000000=>8
[5,2,7,8,1,6,3,4]=>0000000=>8
[5,3,7,2,6,4,8,1]=>0000000=>8
[6,7,3,1,5,8,4,2]=>0000000=>8
[6,7,2,1,8,5,4,3]=>0000000=>8
[6,7,2,8,1,5,3,4]=>0000000=>8
[6,7,8,2,1,4,3,5]=>0000000=>8
[6,7,1,2,8,4,5,3]=>0000000=>8
[6,7,1,3,4,8,5,2]=>0000000=>8
[5,2,7,3,4,6,8,1]=>0000000=>8
[5,1,7,3,4,8,6,2]=>0000000=>8
[5,1,7,8,2,3,6,4]=>0000000=>8
[4,1,8,7,2,3,6,5]=>0000000=>8
[3,8,1,2,7,4,5,6]=>0000000=>8
[4,1,3,7,5,8,6,2]=>0000000=>8
[3,1,4,5,7,8,6,2]=>0000000=>8
[2,1,8,3,4,7,6,5]=>0100000=>2
[8,2,1,3,4,6,5,7]=>0000000=>8
[1,8,2,3,4,5,7,6]=>1000000=>1
[1,2,8,3,4,6,7,5]=>1100000=>1
[4,2,1,6,5,8,7,3]=>0000000=>8
[5,2,6,1,4,8,7,3]=>0000000=>8
[5,2,6,4,1,8,7,3]=>0000000=>8
[5,2,7,4,8,1,6,3]=>0000000=>8
[5,2,7,4,8,6,1,3]=>0000000=>8
[5,7,2,3,8,6,1,4]=>0000000=>8
[5,7,2,3,8,1,6,4]=>0000000=>8
[5,6,2,3,1,8,7,4]=>0000000=>8
[5,6,2,1,3,8,7,4]=>0000000=>8
[5,1,6,4,2,8,7,3]=>0000000=>8
[5,6,1,3,2,8,7,4]=>0000000=>8
[5,6,3,1,2,8,7,4]=>0000000=>8
[5,6,3,2,1,8,7,4]=>0000000=>8
[5,7,3,2,8,1,6,4]=>0000000=>8
[5,7,3,2,8,6,1,4]=>0000000=>8
[6,7,3,8,2,1,5,4]=>0000000=>8
[6,7,3,8,1,2,5,4]=>0000000=>8
[5,7,3,1,8,2,6,4]=>0000000=>8
[5,7,1,3,8,2,6,4]=>0000000=>8
[5,1,7,4,8,2,6,3]=>0000000=>8
[1,5,7,4,8,3,6,2]=>1000000=>1
[1,5,7,4,8,6,3,2]=>1000000=>1
[5,1,7,4,8,6,2,3]=>0000000=>8
[5,7,1,3,8,6,2,4]=>0000000=>8
[5,7,3,1,8,6,2,4]=>0000000=>8
[6,7,3,8,1,5,2,4]=>0000000=>8
[6,7,3,8,5,2,1,4]=>0000000=>8
[6,7,8,3,1,4,2,5]=>0000000=>8
[6,7,1,8,3,5,2,4]=>0000000=>8
[6,1,7,8,4,5,2,3]=>0000000=>8
[1,6,7,8,4,5,3,2]=>1000000=>1
[1,6,7,8,4,3,5,2]=>1000000=>1
[6,1,7,8,4,2,5,3]=>0000000=>8
[6,7,1,8,3,2,5,4]=>0000000=>8
[5,7,2,1,8,3,6,4]=>0000000=>8
[6,7,2,8,1,3,5,4]=>0000000=>8
[6,7,2,8,3,1,5,4]=>0000000=>8
[6,7,2,8,3,5,1,4]=>0000000=>8
[6,2,7,8,4,5,1,3]=>0000000=>8
[6,2,7,8,4,1,5,3]=>0000000=>8
[6,2,7,8,1,4,5,3]=>0000000=>8
[5,2,7,1,8,4,6,3]=>0000000=>8
[4,2,1,7,8,5,6,3]=>0000000=>8
[4,1,2,7,8,6,5,3]=>0000000=>8
[6,2,7,8,1,5,4,3]=>0000000=>8
[6,2,7,8,5,1,4,3]=>0000000=>8
[6,2,7,8,5,4,1,3]=>0000000=>8
[6,7,2,8,5,3,1,4]=>0000000=>8
[5,7,2,1,8,6,3,4]=>0000000=>8
[5,7,1,2,8,6,3,4]=>0000000=>8
[5,1,7,2,8,6,4,3]=>0000000=>8
[1,5,7,3,8,6,4,2]=>1000000=>1
[1,6,7,8,3,5,4,2]=>1000000=>1
[6,1,7,8,2,5,4,3]=>0000000=>8
[6,7,1,8,2,5,3,4]=>0000000=>8
[6,7,8,2,4,1,3,5]=>0000000=>8
[6,7,8,2,4,3,1,5]=>0000000=>8
[6,7,1,8,5,2,3,4]=>0000000=>8
[6,1,7,8,5,2,4,3]=>0000000=>8
[1,6,7,8,5,3,4,2]=>1000000=>1
[6,1,7,8,5,4,2,3]=>0000000=>8
[6,7,1,8,5,3,2,4]=>0000000=>8
[6,7,8,4,1,3,2,5]=>0000000=>8
[6,5,2,8,4,7,3,1]=>0000000=>8
[3,6,4,8,5,7,1,2]=>0000000=>8
[5,1,4,8,6,3,7,2]=>0000000=>8
[3,4,7,1,8,6,5,2]=>0000000=>8
[6,3,8,4,2,7,1,5]=>0000000=>8
[3,6,8,7,1,4,2,5]=>0000000=>8
[4,6,1,2,7,8,5,3]=>0000000=>8
[3,6,4,2,8,7,5,1]=>0000000=>8
[6,3,7,5,2,8,1,4]=>0000000=>8
[5,7,1,4,8,3,2,6]=>0000000=>8
[5,8,1,4,6,7,2,3]=>0000000=>8
[5,3,8,7,4,1,2,6]=>0000000=>8
[5,4,2,7,3,6,8,1]=>0000000=>8
[7,5,3,6,4,2,8,1]=>0000000=>8
[8,2,6,3,4,7,5,1]=>0000000=>8
[7,2,6,3,5,4,8,1]=>0000000=>8
[6,2,7,4,3,5,8,1]=>0000000=>8
[3,7,6,4,5,2,8,1]=>0000000=>8
[2,7,6,5,3,4,8,1]=>0000000=>8
[6,5,4,3,1,8,2,7]=>0000000=>8
[8,6,5,4,2,7,3,1]=>0000000=>8
[8,5,4,1,7,2,6,3]=>0000000=>8
[7,5,4,1,8,3,2,6]=>0000000=>8
[1,6,5,2,8,3,4,7]=>1000000=>1
[1,6,5,3,4,8,2,7]=>1000000=>1
[5,4,6,3,1,8,2,7]=>0000000=>8
[6,5,8,4,2,7,3,1]=>0000000=>8
[5,8,2,6,4,7,3,1]=>0000000=>8
[1,8,6,3,7,5,2,4]=>1000000=>1
[8,7,5,2,6,4,3,1]=>0000000=>8
[8,7,1,6,2,5,4,3]=>0000000=>8
[7,8,1,6,3,2,5,4]=>0000000=>8
[2,8,1,7,3,5,6,4]=>0000000=>8
[4,8,1,3,7,2,6,5]=>0000000=>8
[4,2,8,5,7,3,6,1]=>0000000=>8
[5,1,7,6,8,3,2,4]=>0000000=>8
[6,7,3,1,8,4,2,5]=>0000000=>8
[1,7,3,8,4,5,2,6]=>1000000=>1
[1,7,2,8,5,3,4,6]=>1000000=>1
[7,6,1,8,4,3,2,5]=>0000000=>8
[8,6,1,7,4,2,5,3]=>0000000=>8
[8,1,2,7,3,4,6,5]=>0000000=>8
[7,1,2,8,3,5,4,6]=>0000000=>8
[8,2,6,1,7,3,5,4]=>0000000=>8
[4,2,1,5,8,3,6,7]=>0000000=>8
[5,4,3,1,6,8,2,7]=>0000000=>8
[4,7,5,6,8,3,2,1]=>0000000=>8
[8,6,4,7,5,3,2,1]=>0000000=>8
[5,1,8,3,7,6,2,4]=>0000000=>8
[5,4,8,1,7,2,6,3]=>0000000=>8
[5,7,3,8,2,6,4,1]=>0000000=>8
[2,3,8,7,4,5,6,1]=>0000000=>8
[7,2,8,6,4,3,5,1]=>0000000=>8
[8,2,7,6,3,5,4,1]=>0000000=>8
[8,1,7,6,5,2,4,3]=>0000000=>8
[7,1,8,6,5,3,2,4]=>0000000=>8
[1,2,8,7,6,3,4,5]=>1100000=>1
[1,3,8,7,4,6,2,5]=>1000000=>1
[5,1,6,8,7,4,2,3]=>0000000=>8
[3,8,7,6,4,5,2,1]=>0000000=>8
[2,8,7,6,5,3,4,1]=>0000000=>8
[1,8,7,6,5,4,2,3]=>1000000=>1
[5,8,6,7,3,4,1,2]=>0000000=>8
[4,8,6,7,3,5,1,2]=>0000000=>8
[3,8,6,7,4,5,1,2]=>0000000=>8
[2,8,6,7,4,5,1,3]=>0000000=>8
[1,8,6,7,4,5,2,3]=>1000000=>1
[1,8,5,7,4,6,2,3]=>1000000=>1
[3,8,5,7,4,6,1,2]=>0000000=>8
[4,8,5,7,3,6,1,2]=>0000000=>8
[7,8,3,6,4,5,1,2]=>0000000=>8
[6,8,3,7,4,5,1,2]=>0000000=>8
[5,8,3,7,4,6,1,2]=>0000000=>8
[3,7,4,8,5,6,1,2]=>0000000=>8
[4,7,3,8,5,6,1,2]=>0000000=>8
[4,7,2,8,5,6,1,3]=>0000000=>8
[4,7,1,8,5,6,2,3]=>0000000=>8
[3,7,1,8,5,6,2,4]=>0000000=>8
[3,7,2,8,5,6,1,4]=>0000000=>8
[2,7,3,8,5,6,1,4]=>0000000=>8
[2,7,4,8,5,6,1,3]=>0000000=>8
[5,8,2,7,4,6,1,3]=>0000000=>8
[6,8,2,7,4,5,1,3]=>0000000=>8
[7,8,2,6,4,5,1,3]=>0000000=>8
[7,8,1,6,4,5,2,3]=>0000000=>8
[6,8,1,7,4,5,2,3]=>0000000=>8
[5,8,1,7,4,6,2,3]=>0000000=>8
[1,7,4,8,5,6,2,3]=>1000000=>1
[1,7,3,8,5,6,2,4]=>1000000=>1
[2,8,5,6,1,7,3,4]=>0000000=>8
[1,8,5,6,2,7,3,4]=>1000000=>1
[1,7,3,8,4,6,2,5]=>1000000=>1
[4,8,1,7,3,6,2,5]=>0000000=>8
[5,8,1,7,3,6,2,4]=>0000000=>8
[6,8,1,7,3,5,2,4]=>0000000=>8
[7,8,2,6,3,5,1,4]=>0000000=>8
[6,8,2,7,3,5,1,4]=>0000000=>8
[5,8,2,7,3,6,1,4]=>0000000=>8
[4,8,2,7,3,6,1,5]=>0000000=>8
[2,7,3,8,4,6,1,5]=>0000000=>8
[3,7,2,8,4,6,1,5]=>0000000=>8
[3,7,1,8,4,6,2,5]=>0000000=>8
[1,8,4,7,3,6,2,5]=>1000000=>1
[2,8,4,7,3,6,1,5]=>0000000=>8
[3,8,4,7,2,6,1,5]=>0000000=>8
[4,8,5,7,2,6,1,3]=>0000000=>8
[3,8,5,7,2,6,1,4]=>0000000=>8
[2,8,5,7,3,6,1,4]=>0000000=>8
[1,8,5,7,3,6,2,4]=>1000000=>1
[1,8,6,7,3,5,2,4]=>1000000=>1
[2,8,6,7,3,5,1,4]=>0000000=>8
[3,8,6,7,2,5,1,4]=>0000000=>8
[4,8,6,7,2,5,1,3]=>0000000=>8
[5,8,6,7,2,4,1,3]=>0000000=>8
[6,8,5,7,1,4,2,3]=>0000000=>8
[5,8,6,7,1,4,2,3]=>0000000=>8
[4,8,6,7,1,5,2,3]=>0000000=>8
[3,8,6,7,1,5,2,4]=>0000000=>8
[1,5,2,8,6,7,3,4]=>1000000=>1
[2,5,1,8,6,7,3,4]=>0000000=>8
[2,6,1,8,5,7,3,4]=>0000000=>8
[1,6,2,8,5,7,3,4]=>1000000=>1
[3,8,5,7,1,6,2,4]=>0000000=>8
[6,8,4,7,1,5,2,3]=>0000000=>8
[7,8,4,6,1,5,2,3]=>0000000=>8
[7,8,3,6,1,5,2,4]=>0000000=>8
[6,8,3,7,1,5,2,4]=>0000000=>8
[4,8,3,7,1,6,2,5]=>0000000=>8
[3,8,4,7,1,6,2,5]=>0000000=>8
[1,6,2,8,4,7,3,5]=>1000000=>1
[2,6,1,8,4,7,3,5]=>0000000=>8
[3,7,2,6,1,8,4,5]=>0000000=>8
[3,7,1,6,2,8,4,5]=>0000000=>8
[4,8,1,6,2,7,3,5]=>0000000=>8
[5,8,1,6,2,7,3,4]=>0000000=>8
[7,8,1,5,2,6,3,4]=>0000000=>8
[7,8,2,5,1,6,3,4]=>0000000=>8
[6,8,2,5,1,7,3,4]=>0000000=>8
[5,8,2,6,1,7,3,4]=>0000000=>8
[4,8,2,6,1,7,3,5]=>0000000=>8
[1,7,3,6,2,8,4,5]=>1000000=>1
[2,7,3,6,1,8,4,5]=>0000000=>8
[1,2,3,4,5,6,7,8,9]=>11111111=>1
[1,2,3,4,5,6,8,9,7]=>11111100=>1
[1,2,3,4,5,7,8,9,6]=>11111000=>1
[1,2,3,4,6,7,8,9,5]=>11110000=>1
[1,2,3,5,6,7,8,9,4]=>11100000=>1
[1,2,4,5,6,7,8,9,3]=>11000000=>1
[1,3,4,5,6,7,8,9,2]=>10000000=>1
[1,2,3,4,5,6,7,8,9,10]=>111111111=>1
[1,2,3,4,5,6,9,8,7]=>11111100=>1
[1,2,3,4,5,6,7,9,10,8]=>111111100=>1
[1,2,3,4,5,8,7,9,6]=>11111000=>1
[1,2,3,4,5,6,8,9,10,7]=>111111000=>1
[1,2,3,4,7,6,8,9,5]=>11110000=>1
[1,2,3,4,5,7,8,9,10,6]=>111110000=>1
[1,2,3,6,5,7,8,9,4]=>11100000=>1
[1,2,3,4,6,7,8,9,10,5]=>111100000=>1
[1,2,5,4,6,7,8,9,3]=>11000000=>1
[1,2,3,5,6,7,8,9,10,4]=>111000000=>1
[1,4,3,5,6,7,8,9,2]=>10000000=>1
[1,2,4,5,6,7,8,9,10,3]=>110000000=>1
[3,2,4,5,6,7,8,9,1]=>00000000=>9
[1,3,4,5,6,7,8,9,10,2]=>100000000=>1
[6,7,4,8,3,5,1,2]=>0000000=>8
[6,7,4,5,2,8,1,3]=>0000000=>8
[5,7,4,6,2,3,1,8]=>0000001=>7
[5,7,4,6,3,8,1,2]=>0000000=>8
[5,7,4,8,3,6,1,2]=>0000000=>8
[6,8,4,5,3,7,1,2]=>0000000=>8
[5,8,4,6,3,7,1,2]=>0000000=>8
[5,6,4,8,3,7,1,2]=>0000000=>8
[5,6,3,7,2,4,1,8]=>0000001=>7
[5,6,3,7,2,8,1,4]=>0000000=>8
[5,6,3,8,2,7,1,4]=>0000000=>8
[5,6,4,8,2,7,1,3]=>0000000=>8
[5,8,4,6,2,7,1,3]=>0000000=>8
[6,8,4,5,2,7,1,3]=>0000000=>8
[7,8,4,5,2,6,1,3]=>0000000=>8
[6,8,4,5,2,3,1,7]=>0000000=>8
[5,8,4,6,2,3,1,7]=>0000000=>8
[5,6,4,8,2,3,1,7]=>0000000=>8
[5,6,3,8,2,4,1,7]=>0000000=>8
[5,6,3,4,2,8,1,7]=>0000000=>8
[4,6,3,5,2,7,1,8]=>0000001=>7
[4,6,3,5,2,8,1,7]=>0000000=>8
[4,6,3,8,2,5,1,7]=>0000000=>8
[4,8,3,6,2,5,1,7]=>0000000=>8
[5,8,3,6,2,4,1,7]=>0000000=>8
[6,8,3,5,2,4,1,7]=>0000000=>8
[7,8,3,5,2,4,1,6]=>0000000=>8
[7,8,3,5,2,6,1,4]=>0000000=>8
[5,8,3,6,2,7,1,4]=>0000000=>8
[4,8,3,6,2,7,1,5]=>0000000=>8
[4,6,3,8,2,7,1,5]=>0000000=>8
[4,6,3,7,2,8,1,5]=>0000000=>8
[4,7,3,6,2,5,1,8]=>0000001=>7
[4,7,3,6,2,8,1,5]=>0000000=>8
[4,7,3,8,2,6,1,5]=>0000000=>8
[5,7,4,8,2,6,1,3]=>0000000=>8
[5,7,3,6,2,8,1,4]=>0000000=>8
[5,7,3,6,2,4,1,8]=>0000001=>7
[6,7,3,5,2,4,1,8]=>0000001=>7
[6,7,3,5,2,8,1,4]=>0000000=>8
[6,7,4,8,2,5,1,3]=>0000000=>8
[6,7,5,8,2,4,1,3]=>0000000=>8
[6,8,5,7,2,3,1,4]=>0000000=>8
[6,7,4,8,2,3,1,5]=>0000000=>8
[6,7,3,8,2,4,1,5]=>0000000=>8
[6,7,3,4,2,8,1,5]=>0000000=>8
[5,7,3,4,2,6,1,8]=>0000001=>7
[5,7,3,4,2,8,1,6]=>0000000=>8
[5,7,4,8,2,3,1,6]=>0000000=>8
[5,8,4,7,2,3,1,6]=>0000000=>8
[6,8,4,7,2,3,1,5]=>0000000=>8
[7,8,4,6,2,3,1,5]=>0000000=>8
[7,8,3,6,2,4,1,5]=>0000000=>8
[6,8,3,7,2,4,1,5]=>0000000=>8
[5,8,3,7,2,4,1,6]=>0000000=>8
[4,8,3,7,2,5,1,6]=>0000000=>8
[4,7,3,8,2,5,1,6]=>0000000=>8
[4,7,3,5,2,8,1,6]=>0000000=>8
[4,7,3,5,2,6,1,8]=>0000001=>7
[4,5,3,7,2,6,1,8]=>0000001=>7
[4,5,3,7,2,8,1,6]=>0000000=>8
[4,5,3,8,2,7,1,6]=>0000000=>8
[4,8,3,5,2,7,1,6]=>0000000=>8
[5,8,3,4,2,7,1,6]=>0000000=>8
[6,8,3,4,2,7,1,5]=>0000000=>8
[7,8,3,4,2,6,1,5]=>0000000=>8
[6,8,3,4,2,5,1,7]=>0000000=>8
[5,8,3,4,2,6,1,7]=>0000000=>8
[4,8,3,5,2,6,1,7]=>0000000=>8
[4,5,3,8,2,6,1,7]=>0000000=>8
[4,5,3,6,2,8,1,7]=>0000000=>8
[4,6,5,2,1,3,8,7]=>0000010=>6
[7,4,8,1,6,5,3,2]=>0000000=>8
[5,4,7,1,3,8,2,6]=>0000000=>8
[6,4,8,1,7,5,2,3]=>0000000=>8
[6,3,2,8,7,4,1,5]=>0000000=>8
[5,7,8,6,2,3,1,4]=>0000000=>8
[5,8,7,6,3,2,1,4]=>0000000=>8
[3,7,1,8,6,4,5,2]=>0000000=>8
[3,8,1,6,7,5,2,4]=>0000000=>8
[4,7,6,2,8,1,3,5]=>0000000=>8
[6,7,4,2,8,1,5,3]=>0000000=>8
[6,8,4,2,7,5,1,3]=>0000000=>8
[2,1,8,6,7,5,3,4]=>0100000=>2
[5,8,6,7,3,1,2,4]=>0000000=>8
[6,7,5,8,1,3,4,2]=>0000000=>8
[7,6,5,8,1,4,3,2]=>0000000=>8
[2,1,7,6,8,3,5,4]=>0100000=>2
[7,5,6,8,1,4,2,3]=>0000000=>8
[8,1,3,7,4,6,5,2]=>0000000=>8
[5,2,8,7,4,6,1,3]=>0000000=>8
[8,1,3,5,4,7,6,2]=>0000000=>8
[6,1,5,4,3,8,7,2]=>0000000=>8
[6,1,8,3,4,5,7,2]=>0000000=>8
[8,1,3,4,5,6,7,2]=>0000000=>8
[6,3,2,7,5,1,8,4]=>0000000=>8
[8,4,7,2,5,6,1,3]=>0000000=>8
[8,5,2,1,4,3,7,6]=>0000000=>8
[5,6,2,1,4,8,3,7]=>0000000=>8
[6,3,8,5,2,1,4,7]=>0000000=>8
[8,3,1,5,2,4,7,6]=>0000000=>8
[3,8,6,7,2,1,5,4]=>0000000=>8
[8,5,6,4,2,1,7,3]=>0000000=>8
[7,2,1,3,8,6,4,5]=>0000000=>8
[1,5,7,3,2,4,6,8]=>1000001=>1
[5,8,2,4,1,3,7,6]=>0000000=>8
[4,8,1,6,3,2,7,5]=>0000000=>8
[3,1,8,6,4,2,7,5]=>0000000=>8
[4,2,1,3,7,8,5,6]=>0001000=>4
[8,6,1,3,7,2,4,5]=>0000000=>8
[9,8,7,6,5,4,3,2,1]=>00000000=>9
[8,9,7,6,5,4,3,2,1]=>00000000=>9
[8,7,9,6,5,4,3,2,1]=>00000000=>9
[8,7,6,9,5,4,3,2,1]=>00000000=>9
[8,7,6,5,9,4,3,2,1]=>00000000=>9
[8,7,6,5,4,9,3,2,1]=>00000000=>9
[8,7,6,5,4,3,9,2,1]=>00000000=>9
[8,7,6,5,4,3,2,9,1]=>00000000=>9
[8,7,6,5,4,3,2,1,9]=>00000001=>8
[9,10,8,7,6,5,4,3,2,1]=>000000000=>10
[7,8,9,6,5,4,3,2,1]=>00000000=>9
[9,8,10,7,6,5,4,3,2,1]=>000000000=>10
[8,6,7,9,5,4,3,2,1]=>00000000=>9
[9,8,7,10,6,5,4,3,2,1]=>000000000=>10
[8,7,5,6,9,4,3,2,1]=>00000000=>9
[9,8,7,6,10,5,4,3,2,1]=>000000000=>10
[8,7,6,4,5,9,3,2,1]=>00000000=>9
[9,8,7,6,5,10,4,3,2,1]=>000000000=>10
[8,7,6,5,3,4,9,2,1]=>00000000=>9
[9,8,7,6,5,4,10,3,2,1]=>000000000=>10
[8,7,6,5,4,2,3,9,1]=>00000000=>9
[9,8,7,6,5,4,3,10,2,1]=>000000000=>10
[8,7,6,5,4,3,1,2,9]=>00000001=>8
[9,8,7,6,5,4,3,2,10,1]=>000000000=>10
[9,8,7,6,5,4,3,2,1,10]=>000000001=>9
[1,4,2,7,8,6,3,5]=>1000000=>1
[1,6,2,4,8,5,3,7]=>1000000=>1
[1,6,2,4,7,5,3,8]=>1000001=>1
[1,7,3,8,5,2,4,6]=>1000000=>1
[1,7,3,2,8,6,4,5]=>1000000=>1
[4,2,5,7,8,6,1,3]=>0000000=>8
[7,2,3,1,8,5,6,4]=>0000000=>8
[8,2,5,1,7,3,4,6]=>0000000=>8
[6,2,1,8,3,4,7,5]=>0000000=>8
[6,2,8,3,5,1,7,4]=>0000000=>8
[6,2,4,8,5,7,1,3]=>0000000=>8
[1,3,6,4,8,5,7,2]=>1000000=>1
[1,3,6,4,7,5,8,2]=>1000000=>1
[6,2,4,7,5,8,1,3]=>0000000=>8
[6,2,1,3,7,8,4,5]=>0000000=>8
[7,8,2,1,4,3,5,6]=>0000000=>8
[7,6,4,2,3,1,8,5]=>0000000=>8
[5,7,2,3,1,6,8,4]=>0000000=>8
[7,5,4,2,6,8,1,3]=>0000000=>8
[1,7,5,3,4,6,8,2]=>1000000=>1
[8,2,5,4,6,7,1,3]=>0000000=>8
[5,2,6,3,1,8,7,4]=>0000000=>8
[8,2,6,4,3,1,7,5]=>0000000=>8
[8,2,7,4,1,3,5,6]=>0000000=>8
[1,2,8,4,3,5,6,7]=>1100000=>1
[1,7,4,2,3,5,6,8]=>1000001=>1
[6,8,4,1,3,2,5,7]=>0000000=>8
[1,8,7,4,3,2,5,6]=>1000000=>1
[1,6,3,8,2,4,7,5]=>1000000=>1
[5,3,8,1,2,7,4,6]=>0000000=>8
[5,1,8,3,2,6,4,7]=>0000000=>8
[5,7,3,1,2,6,4,8]=>0000001=>7
[1,7,5,4,2,6,3,8]=>1000001=>1
[1,5,8,2,4,6,3,7]=>1000000=>1
[1,5,8,4,2,7,3,6]=>1000000=>1
[1,4,6,2,8,3,7,5]=>1000000=>1
[5,3,1,6,7,2,4,8]=>0000001=>7
[5,3,6,1,2,8,4,7]=>0000000=>8
[1,6,3,2,7,8,4,5]=>1000000=>1
[1,7,4,5,3,8,6,2]=>1000000=>1
[6,3,4,1,2,5,8,7]=>0000010=>6
[6,3,1,4,2,7,5,8]=>0000001=>7
[1,8,3,2,4,5,6,7]=>1000000=>1
[8,6,3,2,4,1,7,5]=>0000000=>8
[8,5,3,2,6,7,1,4]=>0000000=>8
[4,5,2,6,8,1,7,3]=>0000000=>8
[4,2,5,6,7,8,1,3]=>0000000=>8
[5,2,3,6,7,1,8,4]=>0000000=>8
[6,2,3,4,1,7,8,5]=>0000000=>8
[7,2,3,1,4,5,8,6]=>0000000=>8
[8,6,1,4,3,2,5,7]=>0000000=>8
[8,3,1,6,5,2,4,7]=>0000000=>8
[3,7,5,1,8,2,4,6]=>0000000=>8
[4,1,5,2,8,7,3,6]=>0000000=>8
[8,1,2,4,6,5,3,7]=>0000000=>8
[8,1,2,5,4,6,3,7]=>0000000=>8
[8,2,6,5,1,3,4,7]=>0000000=>8
[8,3,1,6,2,5,4,7]=>0000000=>8
[8,1,2,6,4,5,3,7]=>0000000=>8
[8,1,2,5,6,4,3,7]=>0000000=>8
[8,1,2,6,5,4,3,7]=>0000000=>8
[1,7,5,4,2,8,3,6]=>1000000=>1
[5,1,4,8,2,7,3,6]=>0000000=>8
[1,4,6,8,2,7,3,5]=>1000000=>1
[1,4,7,6,2,8,3,5]=>1000000=>1
[5,1,4,7,2,8,3,6]=>0000000=>8
[1,7,4,5,2,8,3,6]=>1000000=>1
[3,7,5,1,2,8,4,6]=>0000000=>8
[5,7,2,8,1,3,4,6]=>0000000=>8
[5,2,8,7,1,3,4,6]=>0000000=>8
[4,1,5,8,2,7,3,6]=>0000000=>8
[1,4,6,2,8,7,3,5]=>1000000=>1
[1,4,2,8,6,7,3,5]=>1000000=>1
[3,1,2,6,4,8,7,5]=>0010000=>3
[2,1,7,6,3,4,8,5]=>0100000=>2
[3,1,2,7,4,6,8,5]=>0010000=>3
[1,4,7,2,6,8,3,5]=>1000000=>1
[1,2,3,6,8,5,7,4]=>1110000=>1
[5,1,4,2,7,8,3,6]=>0000000=>8
[1,4,2,7,6,8,3,5]=>1000000=>1
[1,4,2,6,8,7,3,5]=>1000000=>1
[3,1,2,8,4,6,7,5]=>0010000=>3
[3,1,2,7,6,4,8,5]=>0010000=>3
[5,3,7,1,8,2,4,6]=>0000000=>8
[1,7,4,3,2,5,8,6]=>1000000=>1
[4,8,7,2,1,3,5,6]=>0000000=>8
[1,8,7,3,4,2,5,6]=>1000000=>1
[3,1,7,8,2,6,4,5]=>0000000=>8
[1,4,2,7,8,3,6,5]=>1000000=>1
[5,2,8,1,3,4,7,6]=>0000000=>8
[2,1,8,6,3,4,7,5]=>0100000=>2
[1,4,2,6,8,3,7,5]=>1000000=>1
[1,2,3,7,8,5,6,4]=>1110000=>1
[1,2,3,7,5,8,6,4]=>1110000=>1
[1,4,2,7,3,8,6,5]=>1000000=>1
[3,1,7,2,8,6,4,5]=>0000000=>8
[2,1,7,8,3,4,6,5]=>0100000=>2
[1,2,3,8,7,5,6,4]=>1110000=>1
[10,1,2,3,4,5,6,7,8,9]=>000000000=>10
[9,1,10,2,3,4,5,6,7,8]=>000000000=>10
[10,9,1,2,3,4,5,6,7,8]=>000000000=>10
[11,1,2,3,4,5,6,7,8,9,10]=>0000000000=>11
[8,1,2,3,4,5,6,9,10,7]=>000000000=>10
[2,9,10,1,3,4,5,6,7,8]=>000000000=>10
[4,7,8,5,6,2,1,3]=>0000000=>8
[5,7,8,4,2,6,1,3]=>0000000=>8
[6,7,8,4,2,5,1,3]=>0000000=>8
[8,6,3,7,2,1,5,4]=>0000000=>8
[7,6,3,8,2,1,5,4]=>0000000=>8
[6,7,8,3,2,1,5,4]=>0000000=>8
[5,7,8,3,2,1,6,4]=>0000000=>8
[2,7,8,4,3,5,6,1]=>0000000=>8
[3,7,8,4,2,5,1,6]=>0000000=>8
[4,7,8,3,2,1,5,6]=>0000000=>8
[5,7,8,3,2,1,4,6]=>0000000=>8
[7,6,3,8,2,1,4,5]=>0000000=>8
[8,6,3,7,2,1,4,5]=>0000000=>8
[5,6,3,8,2,1,4,7]=>0000000=>8
[3,6,4,8,2,5,1,7]=>0000000=>8
[2,6,4,8,3,5,7,1]=>0000000=>8
[2,6,4,7,3,5,8,1]=>0000000=>8
[3,6,4,7,2,5,1,8]=>0000001=>7
[4,6,3,7,2,1,5,8]=>0000001=>7
[5,6,3,7,2,1,4,8]=>0000001=>7
[8,4,3,2,1,6,5,7]=>0000000=>8
[6,4,3,2,1,7,5,8]=>0000001=>7
[4,5,3,2,7,1,6,8]=>0000001=>7
[3,5,4,2,8,6,1,7]=>0000000=>8
[6,4,3,2,1,8,5,7]=>0000000=>8
[7,4,3,2,1,8,5,6]=>0000000=>8
[8,4,3,2,1,7,5,6]=>0000000=>8
[8,4,3,2,1,7,6,5]=>0000000=>8
[7,4,3,2,1,8,6,5]=>0000000=>8
[6,4,3,2,1,8,7,5]=>0000000=>8
[5,6,3,8,2,1,7,4]=>0000000=>8
[7,5,3,2,8,1,6,4]=>0000000=>8
[8,5,4,2,7,6,1,3]=>0000000=>8
[7,5,4,2,8,6,1,3]=>0000000=>8
[6,5,4,2,8,7,1,3]=>0000000=>8
[4,6,5,8,7,2,1,3]=>0000000=>8
[2,6,5,7,8,3,4,1]=>0000000=>8
[6,5,4,2,7,8,1,3]=>0000000=>8
[8,5,4,2,6,7,1,3]=>0000000=>8
[8,5,3,2,6,1,7,4]=>0000000=>8
[7,5,3,2,6,1,8,4]=>0000000=>8
[5,6,3,7,2,1,8,4]=>0000000=>8
[4,6,3,7,2,1,8,5]=>0000000=>8
[3,6,4,7,2,8,1,5]=>0000000=>8
[2,6,4,7,3,8,5,1]=>0000000=>8
[3,5,4,2,7,8,1,6]=>0000000=>8
[4,5,3,2,7,1,8,6]=>0000000=>8
[7,4,3,2,1,6,8,5]=>0000000=>8
[8,4,3,2,1,6,7,5]=>0000000=>8
[8,4,3,2,1,5,7,6]=>0000000=>8
[7,4,3,2,1,5,8,6]=>0000000=>8
[6,4,3,2,1,5,8,7]=>0000010=>6
[3,5,4,2,6,8,1,7]=>0000000=>8
[8,5,7,4,2,6,3,1]=>0000000=>8
[6,8,3,7,5,1,4,2]=>0000000=>8
[5,7,3,8,1,6,2,4]=>0000000=>8
[3,2,6,4,8,5,1,7]=>0000000=>8
[3,2,5,8,4,6,1,7]=>0000000=>8
[3,5,2,4,1,7,6,8]=>0000101=>5
[4,2,1,5,7,3,6,8]=>0000001=>7
[4,5,2,3,7,1,6,8]=>0000001=>7
[4,2,5,3,8,1,6,7]=>0000000=>8
[4,2,5,8,3,1,6,7]=>0000000=>8
[3,1,5,4,2,8,6,7]=>0000100=>5
[4,1,5,3,8,2,6,7]=>0000000=>8
[4,1,5,8,3,2,6,7]=>0000000=>8
[4,3,8,5,2,1,6,7]=>0000000=>8
[4,7,3,5,2,1,6,8]=>0000001=>7
[4,3,2,7,5,1,6,8]=>0000001=>7
[4,3,6,2,5,1,7,8]=>0000011=>6
[4,6,3,2,5,1,7,8]=>0000011=>6
[4,6,7,1,3,2,5,8]=>0000001=>7
[4,5,1,7,3,2,6,8]=>0000001=>7
[4,5,1,3,7,2,6,8]=>0000001=>7
[3,5,1,4,2,7,6,8]=>0000101=>5
[2,5,1,4,3,7,8,6]=>0000100=>5
[5,2,1,4,3,7,8,6]=>0000100=>5
[5,3,1,4,2,7,6,8]=>0000101=>5
[4,3,1,5,7,2,6,8]=>0000001=>7
[4,3,1,7,5,2,6,8]=>0000001=>7
[4,3,6,1,5,2,7,8]=>0000011=>6
[4,6,3,1,5,2,7,8]=>0000011=>6
[5,3,6,4,1,2,7,8]=>0000011=>6
[4,3,6,1,7,2,5,8]=>0000001=>7
[6,3,4,1,2,7,5,8]=>0000001=>7
[6,2,4,1,3,7,8,5]=>0000000=>8
[3,6,4,1,2,7,5,8]=>0000001=>7
[4,6,3,1,7,2,5,8]=>0000001=>7
[5,3,6,2,1,4,7,8]=>0000011=>6
[5,6,2,7,1,3,4,8]=>0000001=>7
[4,5,2,7,3,1,6,8]=>0000001=>7
[4,6,7,2,3,1,5,8]=>0000001=>7
[4,6,2,1,7,3,5,8]=>0000001=>7
[3,2,6,1,4,7,5,8]=>0000001=>7
[3,6,2,1,4,7,5,8]=>0000001=>7
[3,6,7,2,4,5,1,8]=>0000001=>7
[3,5,2,7,4,6,1,8]=>0000001=>7
[3,7,2,4,8,5,1,6]=>0000000=>8
[7,2,1,4,6,3,8,5]=>0000000=>8
[7,3,1,4,6,8,2,5]=>0000000=>8
[3,2,6,1,5,7,4,8]=>0000001=>7
[3,6,2,1,5,7,4,8]=>0000001=>7
[6,3,2,1,5,7,4,8]=>0000001=>7
[6,4,2,1,5,3,7,8]=>0000011=>6
[4,2,6,1,5,3,7,8]=>0000011=>6
[4,2,1,7,5,3,6,8]=>0000001=>7
[7,4,1,5,6,2,3,8]=>0000001=>7
[7,3,1,5,2,6,4,8]=>0000001=>7
[7,2,1,5,3,6,8,4]=>0000000=>8
[6,2,5,1,3,7,8,4]=>0000000=>8
[6,3,5,1,2,7,4,8]=>0000001=>7
[6,4,5,1,7,2,3,8]=>0000001=>7
[5,2,6,4,1,3,7,8]=>0000011=>6
[4,6,5,1,7,2,3,8]=>0000001=>7
[3,6,5,1,2,7,4,8]=>0000001=>7
[6,5,2,1,4,7,8,3]=>0000000=>8
[6,5,3,1,4,7,2,8]=>0000001=>7
[2,3,1,8,5,4,7,6]=>0010000=>3
[2,4,1,5,8,3,7,6]=>0000000=>8
[2,4,1,5,3,8,7,6]=>0000100=>5
[3,4,5,1,2,8,7,6]=>0000100=>5
[3,4,5,1,8,2,7,6]=>0000000=>8
[3,4,5,8,2,1,7,6]=>0000000=>8
[3,4,5,2,8,1,7,6]=>0000000=>8
[3,5,6,2,7,1,4,8]=>0000001=>7
[3,5,6,2,7,1,8,4]=>0000000=>8
[2,4,8,6,3,7,1,5]=>0000000=>8
[1,8,4,6,3,7,2,5]=>1000000=>1
[3,4,6,8,2,7,5,1]=>0000000=>8
[3,4,6,2,8,7,5,1]=>0000000=>8
[3,5,6,2,7,8,4,1]=>0000000=>8
[3,5,6,2,7,4,1,8]=>0000001=>7
[4,5,6,7,2,8,3,1]=>0000000=>8
[3,5,6,8,7,2,4,1]=>0000000=>8
[2,5,8,6,7,3,4,1]=>0000000=>8
[2,5,8,6,7,3,1,4]=>0000000=>8
[3,5,6,8,7,2,1,4]=>0000000=>8
[4,5,6,7,2,1,8,3]=>0000000=>8
[2,3,1,8,6,7,4,5]=>0010000=>3
[1,8,3,2,6,7,5,4]=>1000000=>1
[2,5,1,6,7,8,4,3]=>0000000=>8
[2,5,1,6,7,4,8,3]=>0000000=>8
[3,4,6,8,1,7,5,2]=>0000000=>8
[2,4,8,6,1,7,5,3]=>0000000=>8
[3,5,6,8,7,1,4,2]=>0000000=>8
[4,5,6,7,8,1,3,2]=>0000000=>8
[4,5,6,7,1,3,8,2]=>0000000=>8
[4,5,6,7,1,3,2,8]=>0000001=>7
[4,5,6,7,3,1,8,2]=>0000000=>8
[3,5,6,8,7,4,1,2]=>0000000=>8
[2,5,8,6,7,4,1,3]=>0000000=>8
[1,8,5,6,7,4,3,2]=>1000000=>1
[2,5,8,6,7,4,3,1]=>0000000=>8
[8,2,4,3,7,1,6,5]=>0000000=>8
[5,8,2,4,3,7,1,6]=>0000000=>8
[6,1,5,7,3,2,4,8]=>0000001=>7
[6,1,5,8,3,2,4,7]=>0000000=>8
[4,3,5,6,7,1,8,2]=>0000000=>8
[3,7,1,5,6,8,2,4]=>0000000=>8
[8,3,2,4,6,1,5,7]=>0000000=>8
[7,3,2,4,6,1,5,8]=>0000001=>7
[3,2,5,1,7,4,6,8]=>0000001=>7
[3,2,5,1,7,8,4,6]=>0000000=>8
[5,7,6,1,8,3,4,2]=>0000000=>8
[3,2,5,1,6,4,7,8]=>0000011=>6
[3,8,6,5,1,7,4,2]=>0000000=>8
[3,7,6,5,1,8,4,2]=>0000000=>8
[3,2,5,1,6,7,8,4]=>0000000=>8
[3,2,4,1,6,8,5,7]=>0001000=>4
[8,3,2,4,7,6,1,5]=>0000000=>8
[3,2,5,1,8,4,7,6]=>0000000=>8
[3,2,5,1,6,7,4,8]=>0000001=>7
[8,4,2,3,7,5,1,6]=>0000000=>8
[4,2,6,1,8,3,7,5]=>0000000=>8
[5,2,6,1,8,3,7,4]=>0000000=>8
[8,4,6,1,7,3,5,2]=>0000000=>8
[5,2,6,1,8,4,7,3]=>0000000=>8
[7,4,2,3,8,5,1,6]=>0000000=>8
[8,5,1,6,4,2,3,7]=>0000000=>8
[7,5,1,6,4,2,3,8]=>0000001=>7
[3,2,5,1,7,6,4,8]=>0000001=>7
[7,3,2,4,8,6,1,5]=>0000000=>8
[4,2,6,1,8,5,7,3]=>0000000=>8
[8,5,6,1,7,3,4,2]=>0000000=>8
[3,6,8,5,1,7,4,2]=>0000000=>8
[3,2,5,1,8,6,7,4]=>0000000=>8
[3,2,4,1,8,6,5,7]=>0001000=>4
[3,2,5,1,7,8,6,4]=>0000000=>8
[7,8,5,1,6,4,2,3]=>0000000=>8
[3,7,5,1,8,6,4,2]=>0000000=>8
[8,7,5,1,6,4,2,3]=>0000000=>8
[6,5,7,3,1,8,4,2]=>0000000=>8
[4,6,3,7,1,8,5,2]=>0000000=>8
[4,6,3,7,5,1,8,2]=>0000000=>8
[4,2,6,1,7,5,3,8]=>0000001=>7
[2,5,7,4,1,6,3,8]=>0000001=>7
[2,5,7,4,1,6,8,3]=>0000000=>8
[5,4,7,3,6,1,8,2]=>0000000=>8
[5,4,7,8,3,1,6,2]=>0000000=>8
[4,3,7,5,1,8,6,2]=>0000000=>8
[6,4,3,8,5,1,7,2]=>0000000=>8
[5,8,4,3,6,1,7,2]=>0000000=>8
[5,4,8,3,6,1,7,2]=>0000000=>8
[5,4,3,6,7,1,8,2]=>0000000=>8
[2,5,4,6,1,7,3,8]=>0000001=>7
[3,2,5,8,1,6,7,4]=>0000000=>8
[2,5,4,6,8,1,7,3]=>0000000=>8
[5,2,8,4,1,6,7,3]=>0000000=>8
[4,6,2,1,8,5,7,3]=>0000000=>8
[2,4,1,7,5,8,6,3]=>0000000=>8
[2,4,1,7,5,3,8,6]=>0000000=>8
[2,6,4,1,8,5,3,7]=>0000000=>8
[5,4,8,2,1,6,3,7]=>0000000=>8
[2,5,8,4,1,6,3,7]=>0000000=>8
[3,2,5,6,1,8,4,7]=>0000000=>8
[4,8,3,2,6,1,5,7]=>0000000=>8
[3,5,2,8,1,6,4,7]=>0000000=>8
[3,2,1,6,8,5,4,7]=>0010000=>3
[3,2,7,1,5,4,8,6]=>0000000=>8
[3,2,7,1,5,8,6,4]=>0000000=>8
[3,8,2,5,1,6,7,4]=>0000000=>8
[4,8,3,2,6,7,1,5]=>0000000=>8
[4,3,8,2,6,7,1,5]=>0000000=>8
[4,3,2,6,7,8,1,5]=>0000000=>8
[4,3,2,6,7,1,5,8]=>0000001=>7
[4,3,7,2,6,8,1,5]=>0000000=>8
[4,3,7,8,2,6,1,5]=>0000000=>8
[2,5,7,4,8,1,6,3]=>0000000=>8
[3,2,5,7,8,1,6,4]=>0000000=>8
[3,2,5,7,1,6,8,4]=>0000000=>8
[3,2,5,7,1,6,4,8]=>0000001=>7
[6,3,2,7,1,5,4,8]=>0000001=>7
[6,3,2,7,1,5,8,4]=>0000000=>8
[6,3,2,7,8,1,5,4]=>0000000=>8
[4,2,6,1,7,8,5,3]=>0000000=>8
[6,5,2,1,7,8,4,3]=>0000000=>8
[2,1,7,5,3,8,6,4]=>0100000=>2
[6,2,1,8,5,3,7,4]=>0000000=>8
[6,3,2,7,1,4,8,5]=>0000000=>8
[6,3,2,1,4,7,8,5]=>0000000=>8
[6,3,2,1,4,7,5,8]=>0000001=>7
[3,5,2,1,7,4,6,8]=>0000001=>7
[3,5,2,1,7,8,4,6]=>0000000=>8
[5,8,4,2,1,7,3,6]=>0000000=>8
[4,6,2,1,8,3,7,5]=>0000000=>8
[2,4,1,7,3,8,6,5]=>0000000=>8
[3,2,7,1,4,8,6,5]=>0000000=>8
[3,5,8,2,1,7,4,6]=>0000000=>8
[4,8,3,7,2,1,5,6]=>0000000=>8
[4,3,7,2,8,1,5,6]=>0000000=>8
[4,3,7,2,1,5,6,8]=>0000001=>7
[4,8,3,2,7,1,5,6]=>0000000=>8
[3,5,2,8,1,7,4,6]=>0000000=>8
[6,3,2,8,1,4,7,5]=>0000000=>8
[3,2,1,4,7,5,8,6]=>0011000=>3
[5,3,2,1,8,4,6,7]=>0000000=>8
[4,8,3,2,1,5,6,7]=>0000000=>8
[4,3,8,2,1,5,6,7]=>0000000=>8
[1,9,8,7,6,5,4,3,2]=>10000000=>1
[8,7,6,4,5,3,2,1,9]=>00000001=>8
[1,9,8,7,5,6,4,3,2]=>10000000=>1
[1,10,9,8,7,6,5,4,3,2]=>100000000=>1
[10,9,8,7,6,5,4,3,2,1,11]=>0000000001=>10
[9,8,7,5,6,4,3,2,1,10]=>000000001=>9
[8,7,5,4,6,3,2,1,9]=>00000001=>8
[8,7,4,6,5,3,2,1,9]=>00000001=>8
[1,9,8,6,5,7,4,3,2]=>10000000=>1
[1,9,8,5,7,6,4,3,2]=>10000000=>1
[1,10,9,8,6,7,5,4,3,2]=>100000000=>1
[1,11,10,9,8,7,6,5,4,3,2]=>1000000000=>1
[6,2,5,3,4,1,8,7]=>0000010=>6
[6,1,5,2,4,3,8,7]=>0000010=>6
[8,3,5,2,4,1,7,6]=>0000000=>8
[8,1,5,3,4,2,7,6]=>0000000=>8
[8,4,5,1,3,2,7,6]=>0000000=>8
[8,6,7,4,5,1,3,2]=>0000000=>8
[8,6,7,3,5,1,4,2]=>0000000=>8
[8,5,7,3,6,1,4,2]=>0000000=>8
[8,3,7,1,6,4,5,2]=>0000000=>8
[8,1,7,5,6,3,4,2]=>0000000=>8
[8,4,7,5,6,1,3,2]=>0000000=>8
[2,1,8,4,7,5,6,3]=>0100000=>2
[8,1,7,3,4,2,6,5]=>0000000=>8
[8,1,7,3,6,2,5,4]=>0000000=>8
[8,3,7,2,6,4,5,1]=>0000000=>8
[8,2,7,3,6,4,5,1]=>0000000=>8
[8,1,7,2,4,3,6,5]=>0000000=>8
[8,1,5,2,4,3,7,6]=>0000000=>8
[8,2,7,1,4,3,6,5]=>0000000=>8
[8,2,3,1,5,4,7,6]=>0000000=>8
[4,1,3,2,8,6,7,5]=>0001000=>4
[8,6,7,2,3,1,5,4]=>0000000=>8
[8,5,7,2,6,1,4,3]=>0000000=>8
[8,2,7,5,6,1,4,3]=>0000000=>8
[2,1,8,6,7,3,5,4]=>0100000=>2
[2,1,8,3,7,5,6,4]=>0100000=>2
[8,4,7,2,6,3,5,1]=>0000000=>8
[2,1,8,5,7,3,6,4]=>0100000=>2
[8,5,7,4,6,1,3,2]=>0000000=>8
[2,4,8,3,6,1,7,5]=>0000000=>8
[6,5,8,7,3,1,2,4]=>0000000=>8
[1,7,2,8,4,6,5,3]=>1000000=>1
[3,1,6,8,4,5,7,2]=>0000000=>8
[2,3,6,8,4,5,7,1]=>0000000=>8
[1,5,7,8,2,4,6,3]=>1000000=>1
[5,1,7,8,2,4,6,3]=>0000000=>8
[3,6,7,8,4,2,5,1]=>0000000=>8
[5,6,8,7,3,2,1,4]=>0000000=>8
[5,2,7,8,1,4,6,3]=>0000000=>8
[2,8,4,5,3,1,6,7]=>0000000=>8
[3,4,2,1,8,5,6,7]=>0001000=>4
[2,7,6,8,4,3,5,1]=>0000000=>8
[5,7,1,8,3,4,6,2]=>0000000=>8
[3,7,5,8,1,4,6,2]=>0000000=>8
[1,6,8,5,4,3,2,7]=>1000000=>1
[4,6,8,5,1,3,2,7]=>0000000=>8
[5,6,8,1,4,3,2,7]=>0000000=>8
[2,4,8,3,6,5,1,7]=>0000000=>8
[2,8,4,1,5,6,3,7]=>0000000=>8
[1,7,3,8,5,4,6,2]=>1000000=>1
[3,7,1,8,5,4,6,2]=>0000000=>8
[5,7,8,4,3,6,1,2]=>0000000=>8
[2,8,5,4,3,1,6,7]=>0000000=>8
[6,5,8,4,2,3,1,7]=>0000000=>8
[4,1,3,2,8,5,6,7]=>0001000=>4
[1,4,3,2,8,5,6,7]=>1001000=>1
[6,4,8,2,5,3,1,7]=>0000000=>8
[2,8,3,4,5,1,6,7]=>0000000=>8
[6,2,8,4,5,3,1,7]=>0000000=>8
[3,2,1,4,8,5,6,7]=>0011000=>3
[5,1,3,2,4,8,6,7]=>0000100=>5
[2,8,1,5,3,4,7,6]=>0000000=>8
[1,2,8,4,5,3,7,6]=>1100000=>1
[1,4,2,8,5,3,6,7]=>1000000=>1
[1,8,4,2,5,3,6,7]=>1000000=>1
[8,1,5,3,2,4,6,7]=>0000000=>8
[3,8,1,5,2,4,6,7]=>0000000=>8
[3,5,1,4,8,2,6,7]=>0000000=>8
[1,5,2,8,4,3,6,7]=>1000000=>1
[1,2,8,5,4,3,6,7]=>1100000=>1
[1,2,5,4,3,8,6,7]=>1100100=>1
[1,2,4,8,5,3,7,6]=>1100000=>1
[1,2,7,4,8,5,3,6]=>1100000=>1
[1,5,2,7,8,4,3,6]=>1000000=>1
[5,1,2,7,4,8,3,6]=>0000000=>8
[8,3,5,1,4,7,2,6]=>0000000=>8
[2,8,1,5,4,7,3,6]=>0000000=>8
[1,2,8,5,7,4,3,6]=>1100000=>1
[1,2,4,8,7,5,3,6]=>1100000=>1
[2,8,1,4,3,7,6,5]=>0000000=>8
[6,1,2,8,7,4,3,5]=>0000000=>8
[6,4,1,2,8,7,3,5]=>0000000=>8
[3,6,4,8,1,7,2,5]=>0000000=>8
[7,6,1,4,2,8,3,5]=>0000000=>8
[7,1,6,2,8,4,3,5]=>0000000=>8
[1,6,7,2,8,4,3,5]=>1000000=>1
[6,7,1,4,2,8,3,5]=>0000000=>8
[6,3,7,1,4,8,2,5]=>0000000=>8
[3,7,8,1,5,2,4,6]=>0000000=>8
[7,1,2,8,5,3,4,6]=>0000000=>8
[1,7,2,8,4,5,3,6]=>1000000=>1
[1,4,2,7,8,5,3,6]=>1000000=>1
[6,1,2,8,4,3,7,5]=>0000000=>8
[6,4,1,2,8,3,7,5]=>0000000=>8
[7,6,1,3,2,4,8,5]=>0000000=>8
[6,7,1,3,2,4,8,5]=>0000000=>8
[1,2,7,3,5,8,4,6]=>1100000=>1
[1,2,7,5,8,3,4,6]=>1100000=>1
[5,8,1,3,7,2,4,6]=>0000000=>8
[1,2,5,8,7,3,4,6]=>1100000=>1
[1,2,5,8,3,7,4,6]=>1100000=>1
[2,8,1,7,3,5,4,6]=>0000000=>8
[8,6,1,3,2,4,7,5]=>0000000=>8
[4,2,8,1,7,3,6,5]=>0000000=>8
[2,8,1,7,4,3,6,5]=>0000000=>8
[7,1,2,8,4,3,6,5]=>0000000=>8
[1,2,8,4,7,5,3,6]=>1100000=>1
[1,2,8,7,4,5,3,6]=>1100000=>1
[2,8,1,7,5,3,4,6]=>0000000=>8
[8,3,7,1,5,2,4,6]=>0000000=>8
[3,8,6,1,4,7,2,5]=>0000000=>8
[8,6,1,4,2,7,3,5]=>0000000=>8
[8,1,6,2,7,4,3,5]=>0000000=>8
[7,1,2,8,6,4,3,5]=>0000000=>8
[7,4,1,2,8,6,3,5]=>0000000=>8
[3,7,4,8,1,6,2,5]=>0000000=>8
[3,4,8,7,1,6,2,5]=>0000000=>8
[4,2,8,1,7,6,3,5]=>0000000=>8
[2,8,1,7,6,4,3,5]=>0000000=>8
[7,8,3,4,1,5,2,6]=>0000000=>8
[7,8,3,4,1,6,2,5]=>0000000=>8
[6,8,3,4,1,7,2,5]=>0000000=>8
[6,7,3,4,1,8,2,5]=>0000000=>8
[5,7,3,4,1,8,2,6]=>0000000=>8
[5,8,3,4,1,7,2,6]=>0000000=>8
[5,8,3,4,1,6,2,7]=>0000000=>8
[6,8,3,4,1,5,2,7]=>0000000=>8
[6,7,3,4,1,5,2,8]=>0000001=>7
[5,7,3,4,1,6,2,8]=>0000001=>7
[5,6,2,8,3,4,1,7]=>0000000=>8
[5,6,2,7,3,4,1,8]=>0000001=>7
[4,6,2,8,3,5,1,7]=>0000000=>8
[4,7,3,5,1,6,2,8]=>0000001=>7
[4,8,3,5,1,6,2,7]=>0000000=>8
[4,8,3,5,1,7,2,6]=>0000000=>8
[4,7,3,5,1,8,2,6]=>0000000=>8
[5,6,2,3,1,7,4,8]=>0000001=>7
[5,6,2,4,1,8,3,7]=>0000000=>8
[5,6,2,4,1,7,3,8]=>0000001=>7
[4,6,2,5,1,7,3,8]=>0000001=>7
[4,6,2,5,1,8,3,7]=>0000000=>8
[4,5,1,8,3,7,2,6]=>0000000=>8
[4,5,1,7,3,8,2,6]=>0000000=>8
[4,6,2,7,3,8,1,5]=>0000000=>8
[5,6,2,7,3,8,1,4]=>0000000=>8
[5,6,2,7,4,8,1,3]=>0000000=>8
[5,6,3,8,4,7,1,2]=>0000000=>8
[5,6,2,8,4,7,1,3]=>0000000=>8
[5,6,2,8,3,7,1,4]=>0000000=>8
[4,6,2,8,3,7,1,5]=>0000000=>8
[4,5,1,7,3,6,2,8]=>0000001=>7
[4,5,1,8,3,6,2,7]=>0000000=>8
[9,2,1,3,4,5,6,7,8]=>00000000=>9
[10,2,1,3,4,5,6,7,8,9]=>000000000=>10
[9,2,3,1,4,5,6,7,8]=>00000000=>9
[4,2,3,5,6,7,8,9,1]=>00000000=>9
[3,4,2,5,6,7,8,9,1]=>00000000=>9
[3,2,4,5,6,7,8,9,10,1]=>000000000=>10
[2,3,4,5,6,7,8,9,10,11,1]=>0000000000=>11
[8,7,2,4,5,3,1,6]=>0000000=>8
[6,3,8,4,5,7,2,1]=>0000000=>8
[5,8,7,4,3,6,2,1]=>0000000=>8
[2,8,7,4,3,6,1,5]=>0000000=>8
[5,1,8,4,7,6,3,2]=>0000000=>8
[2,5,8,4,7,6,3,1]=>0000000=>8
[4,3,8,1,5,6,7,2]=>0000000=>8
[4,8,1,3,5,6,7,2]=>0000000=>8
[5,8,7,4,1,6,3,2]=>0000000=>8
[5,8,3,6,1,4,7,2]=>0000000=>8
[3,8,7,4,1,6,2,5]=>0000000=>8
[8,1,7,4,5,2,3,6]=>0000000=>8
[6,1,8,4,5,7,2,3]=>0000000=>8
[6,8,3,5,1,7,2,4]=>0000000=>8
[2,1,5,8,3,6,7,4]=>0100000=>2
[4,1,8,2,5,6,7,3]=>0000000=>8
[2,4,8,1,5,6,7,3]=>0000000=>8
[4,8,2,1,5,6,7,3]=>0000000=>8
[3,4,8,2,5,6,7,1]=>0000000=>8
[5,8,1,4,7,6,2,3]=>0000000=>8
[3,4,1,8,5,6,7,2]=>0000000=>8
[2,4,6,8,10,1,3,5,7,9]=>000000000=>10
[2,4,6,9,10,1,3,5,7,8]=>000000000=>10
[2,4,7,8,10,1,3,5,6,9]=>000000000=>10
[2,4,7,9,10,1,3,5,6,8]=>000000000=>10
[2,4,8,9,10,1,3,5,6,7]=>000000000=>10
[2,5,6,8,10,1,3,4,7,9]=>000000000=>10
[2,5,6,9,10,1,3,4,7,8]=>000000000=>10
[2,5,7,8,10,1,3,4,6,9]=>000000000=>10
[2,5,7,9,10,1,3,4,6,8]=>000000000=>10
[2,5,8,9,10,1,3,4,6,7]=>000000000=>10
[2,6,7,8,10,1,3,4,5,9]=>000000000=>10
[2,6,7,9,10,1,3,4,5,8]=>000000000=>10
[2,6,8,9,10,1,3,4,5,7]=>000000000=>10
[2,7,8,9,10,1,3,4,5,6]=>000000000=>10
[3,4,6,8,10,1,2,5,7,9]=>000000000=>10
[3,4,6,9,10,1,2,5,7,8]=>000000000=>10
[3,4,7,8,10,1,2,5,6,9]=>000000000=>10
[3,4,7,9,10,1,2,5,6,8]=>000000000=>10
[3,4,8,9,10,1,2,5,6,7]=>000000000=>10
[3,5,6,8,10,1,2,4,7,9]=>000000000=>10
[3,5,6,9,10,1,2,4,7,8]=>000000000=>10
[3,5,7,8,10,1,2,4,6,9]=>000000000=>10
[3,5,7,9,10,1,2,4,6,8]=>000000000=>10
[3,5,8,9,10,1,2,4,6,7]=>000000000=>10
[3,6,7,8,10,1,2,4,5,9]=>000000000=>10
[3,6,7,9,10,1,2,4,5,8]=>000000000=>10
[3,6,8,9,10,1,2,4,5,7]=>000000000=>10
[3,7,8,9,10,1,2,4,5,6]=>000000000=>10
[4,5,6,8,10,1,2,3,7,9]=>000000000=>10
[4,5,6,9,10,1,2,3,7,8]=>000000000=>10
[4,5,7,8,10,1,2,3,6,9]=>000000000=>10
[4,5,7,9,10,1,2,3,6,8]=>000000000=>10
[4,5,8,9,10,1,2,3,6,7]=>000000000=>10
[4,6,7,8,10,1,2,3,5,9]=>000000000=>10
[4,6,7,9,10,1,2,3,5,8]=>000000000=>10
[4,6,8,9,10,1,2,3,5,7]=>000000000=>10
[4,7,8,9,10,1,2,3,5,6]=>000000000=>10
[5,6,7,8,10,1,2,3,4,9]=>000000000=>10
[5,6,7,9,10,1,2,3,4,8]=>000000000=>10
[5,6,8,9,10,1,2,3,4,7]=>000000000=>10
[5,7,8,9,10,1,2,3,4,6]=>000000000=>10
[4,5,7,6,2,3,8,1]=>0000000=>8
[3,5,7,2,6,4,8,1]=>0000000=>8
[2,5,7,3,6,4,8,1]=>0000000=>8
[1,5,7,3,6,8,4,2]=>1000000=>1
[8,4,3,7,6,1,5,2]=>0000000=>8
[6,7,2,3,5,4,8,1]=>0000000=>8
[5,2,7,3,6,4,8,1]=>0000000=>8
[8,3,4,7,6,1,5,2]=>0000000=>8
[8,2,4,7,1,6,5,3]=>0000000=>8
[3,1,4,7,6,8,5,2]=>0000000=>8
[4,1,3,7,6,8,5,2]=>0000000=>8
[5,1,7,3,6,8,4,2]=>0000000=>8
[6,7,1,3,5,8,4,2]=>0000000=>8
[5,8,7,3,6,1,4,2]=>0000000=>8
[4,8,3,7,6,1,5,2]=>0000000=>8
[3,8,4,7,6,1,5,2]=>0000000=>8
[2,8,4,7,1,6,5,3]=>0000000=>8
[8,1,4,7,2,6,5,3]=>0000000=>8
[8,1,3,2,7,6,5,4]=>0000000=>8
[2,8,3,1,7,6,5,4]=>0000000=>8
[3,8,2,1,7,6,5,4]=>0000000=>8
[6,7,1,2,8,5,4,3]=>0000000=>8
[8,2,3,1,7,6,5,4]=>0000000=>8
[8,3,2,1,7,6,5,4]=>0000000=>8
[3,4,1,7,6,8,5,2]=>0000000=>8
[1,4,2,7,8,6,5,3]=>1000000=>1
[8,4,2,7,1,6,5,3]=>0000000=>8
[8,5,7,2,1,6,4,3]=>0000000=>8
[1,5,7,2,8,6,4,3]=>1000000=>1
[2,5,7,1,8,6,4,3]=>0000000=>8
[3,5,7,1,6,8,4,2]=>0000000=>8
[6,7,4,5,8,1,3,2]=>0000000=>8
[5,4,7,6,8,1,3,2]=>0000000=>8
[2,5,7,8,1,6,4,3]=>0000000=>8
[1,5,7,8,2,6,4,3]=>1000000=>1
[8,5,7,1,2,6,4,3]=>0000000=>8
[8,4,1,7,2,6,5,3]=>0000000=>8
[1,4,8,7,2,6,5,3]=>1000000=>1
[3,4,8,7,6,1,5,2]=>0000000=>8
[4,3,8,7,6,1,5,2]=>0000000=>8
[5,3,7,8,6,1,4,2]=>0000000=>8
[6,7,2,8,1,5,4,3]=>0000000=>8
[5,2,7,8,1,6,4,3]=>0000000=>8
[4,2,8,7,1,6,5,3]=>0000000=>8
[3,2,8,1,7,6,5,4]=>0000000=>8
[1,3,8,2,7,6,5,4]=>1000000=>1
[8,3,1,2,7,6,5,4]=>0000000=>8
[8,2,1,3,7,6,5,4]=>0000000=>8
[1,2,8,3,7,6,5,4]=>1100000=>1
[2,1,8,3,7,6,5,4]=>0100000=>2
[4,1,8,7,2,6,5,3]=>0000000=>8
[5,1,7,8,2,6,4,3]=>0000000=>8
[6,7,1,8,2,5,4,3]=>0000000=>8
[5,8,7,1,2,6,4,3]=>0000000=>8
[4,8,1,7,2,6,5,3]=>0000000=>8
[3,8,1,2,7,6,5,4]=>0000000=>8
[2,8,1,3,7,6,5,4]=>0000000=>8
[1,8,2,3,7,6,5,4]=>1000000=>1
[8,1,2,3,7,6,5,4]=>0000000=>8
[3,1,4,5,6,7,8,9,10,2]=>000000000=>10
[2,3,4,5,6,7,8,9,11,1,10]=>0000000000=>11
[6,7,1,8,4,5,2,3]=>0000000=>8
[3,7,1,5,8,2,6,4]=>0000000=>8
[2,7,1,5,8,3,6,4]=>0000000=>8
[2,6,5,1,8,3,7,4]=>0000000=>8
[3,6,5,1,8,2,7,4]=>0000000=>8
[4,6,5,1,8,7,2,3]=>0000000=>8
[5,6,4,1,8,7,2,3]=>0000000=>8
[8,1,4,5,7,6,2,3]=>0000000=>8
[6,4,5,1,8,7,2,3]=>0000000=>8
[5,4,6,1,8,7,2,3]=>0000000=>8
[4,5,6,1,8,7,2,3]=>0000000=>8
[3,5,6,1,8,2,7,4]=>0000000=>8
[2,5,6,1,8,3,7,4]=>0000000=>8
[2,4,6,1,3,8,7,5]=>0000000=>8
[3,4,6,1,2,8,7,5]=>0000000=>8
[4,3,6,1,2,8,7,5]=>0000000=>8
[5,3,6,1,8,2,7,4]=>0000000=>8
[7,3,1,5,8,2,6,4]=>0000000=>8
[8,1,3,5,7,2,6,4]=>0000000=>8
[8,1,2,5,7,3,6,4]=>0000000=>8
[7,2,1,5,8,3,6,4]=>0000000=>8
[6,2,5,1,8,3,7,4]=>0000000=>8
[4,2,6,1,3,8,7,5]=>0000000=>8
[2,3,6,1,4,8,7,5]=>0000000=>8
[4,2,5,3,1,8,7,6]=>0000100=>5
[6,2,4,1,3,8,7,5]=>0000000=>8
[7,2,1,4,3,8,6,5]=>0000000=>8
[8,1,2,4,3,7,6,5]=>0000000=>8
[8,1,3,4,2,7,6,5]=>0000000=>8
[7,3,1,4,2,8,6,5]=>0000000=>8
[6,3,4,1,2,8,7,5]=>0000000=>8
[4,6,3,1,2,8,7,5]=>0000000=>8
[3,6,4,1,2,8,7,5]=>0000000=>8
[2,6,4,1,3,8,7,5]=>0000000=>8
[2,7,1,4,3,8,6,5]=>0000000=>8
[3,7,1,4,2,8,6,5]=>0000000=>8
[4,7,1,3,2,8,6,5]=>0000000=>8
[8,1,6,7,2,3,5,4]=>0000000=>8
[4,7,1,2,3,8,6,5]=>0000000=>8
[3,7,1,2,4,8,6,5]=>0000000=>8
[2,7,1,3,4,8,6,5]=>0000000=>8
[2,6,3,1,4,8,7,5]=>0000000=>8
[3,6,2,1,4,8,7,5]=>0000000=>8
[5,6,2,1,8,3,7,4]=>0000000=>8
[6,5,2,1,8,3,7,4]=>0000000=>8
[8,1,5,2,7,3,6,4]=>0000000=>8
[8,1,4,2,3,7,6,5]=>0000000=>8
[7,4,1,2,3,8,6,5]=>0000000=>8
[6,4,2,1,3,8,7,5]=>0000000=>8
[5,4,2,3,1,8,7,6]=>0000100=>5
[3,5,2,4,1,8,7,6]=>0000100=>5
[6,3,2,1,4,8,7,5]=>0000000=>8
[7,3,1,2,4,8,6,5]=>0000000=>8
[8,1,3,2,4,7,6,5]=>0000000=>8
[8,1,2,3,4,7,6,5]=>0000000=>8
[7,2,1,3,4,8,6,5]=>0000000=>8
[6,2,3,1,4,8,7,5]=>0000000=>8
[2,4,3,6,5,8,1,7]=>0000000=>8
[2,4,6,3,5,8,7,1]=>0000000=>8
[2,4,6,3,5,8,1,7]=>0000000=>8
[4,2,6,5,1,8,7,3]=>0000000=>8
[4,2,6,5,8,1,3,7]=>0000000=>8
[4,2,6,5,8,3,1,7]=>0000000=>8
[2,4,6,1,5,8,3,7]=>0000000=>8
[2,4,1,6,5,8,3,7]=>0000000=>8
[4,2,6,5,8,3,7,1]=>0000000=>8
[2,6,4,3,8,7,5,1]=>0000000=>8
[4,2,6,8,5,3,7,1]=>0000000=>8
[2,4,6,8,1,5,7,3]=>0000000=>8
[2,4,6,1,8,5,7,3]=>0000000=>8
[2,1,4,6,8,5,7,3]=>0100000=>2
[2,1,4,6,8,5,3,7]=>0100000=>2
[2,4,6,1,8,5,3,7]=>0000000=>8
[2,4,6,8,1,5,3,7]=>0000000=>8
[4,2,6,8,5,1,3,7]=>0000000=>8
[2,4,6,8,3,5,7,1]=>0000000=>8
[2,4,6,8,3,5,1,7]=>0000000=>8
[2,4,6,8,3,1,5,7]=>0000000=>8
[2,4,6,3,1,8,5,7]=>0000000=>8
[2,4,6,3,8,1,5,7]=>0000000=>8
[2,4,6,3,8,5,1,7]=>0000000=>8
[2,4,6,3,8,5,7,1]=>0000000=>8
[2,4,3,6,8,5,7,1]=>0000000=>8
[2,4,3,6,8,5,1,7]=>0000000=>8
[2,4,3,6,8,1,5,7]=>0000000=>8
[2,4,3,6,1,8,7,5]=>0000000=>8
[2,4,3,6,8,1,7,5]=>0000000=>8
[4,6,5,2,8,7,1,3]=>0000000=>8
[2,4,6,3,8,1,7,5]=>0000000=>8
[2,4,6,8,1,3,7,5]=>0000000=>8
[2,4,6,8,3,1,7,5]=>0000000=>8
[6,2,4,8,7,1,3,5]=>0000000=>8
[6,4,2,8,7,5,3,1]=>0000000=>8
[2,6,4,8,1,7,5,3]=>0000000=>8
[2,6,4,1,8,7,5,3]=>0000000=>8
[2,6,1,4,8,7,5,3]=>0000000=>8
[2,1,6,4,8,7,5,3]=>0100000=>2
[2,6,1,4,8,7,3,5]=>0000000=>8
[6,4,2,8,7,5,1,3]=>0000000=>8
[1,6,4,7,3,8,2,5]=>1000000=>1
[1,3,7,4,5,8,2,6]=>1000000=>1
[5,2,4,7,3,6,8,1]=>0000000=>8
[1,7,6,3,4,8,2,5]=>1000000=>1
[8,1,6,3,7,2,4,5]=>0000000=>8
[7,1,6,3,8,2,4,5]=>0000000=>8
[1,2,7,4,8,3,5,6]=>1100000=>1
[6,1,7,3,4,8,2,5]=>0000000=>8
[2,1,7,4,5,8,3,6]=>0100000=>2
[5,1,4,7,3,8,2,6]=>0000000=>8
[4,3,1,7,5,8,2,6]=>0000000=>8
[2,8,6,3,7,1,4,5]=>0000000=>8
[6,8,1,3,7,2,4,5]=>0000000=>8
[5,8,2,1,7,3,4,6]=>0000000=>8
[5,7,2,1,8,3,4,6]=>0000000=>8
[6,7,1,3,8,2,4,5]=>0000000=>8
[5,1,2,4,8,3,6,7]=>0000000=>8
[4,3,6,1,5,8,2,7]=>0000000=>8
[2,6,1,4,5,8,3,7]=>0000000=>8
[6,5,1,3,4,8,2,7]=>0000000=>8
[1,6,2,4,8,3,5,7]=>1000000=>1
[8,5,1,3,7,2,4,6]=>0000000=>8
[1,5,3,2,8,4,6,7]=>1000000=>1
[6,4,2,1,5,8,3,7]=>0000000=>8
[2,5,3,4,1,8,6,7]=>0000100=>5
[4,3,5,2,1,8,6,7]=>0000100=>5
[2,6,4,8,7,1,3,5]=>0000000=>8
[1,6,4,8,7,2,3,5]=>1000000=>1
[2,7,8,3,6,1,4,5]=>0000000=>8
[4,3,2,8,7,1,5,6]=>0000000=>8
[5,2,4,8,7,1,3,6]=>0000000=>8
[6,2,8,3,7,1,4,5]=>0000000=>8
[5,1,4,8,7,2,3,6]=>0000000=>8
[4,8,2,5,1,3,7,6]=>0000000=>8
[4,7,2,5,1,3,8,6]=>0000000=>8
[3,7,2,1,5,4,8,6]=>0000000=>8
[3,8,2,1,5,4,7,6]=>0000000=>8
[8,3,2,1,5,4,6,7]=>0000000=>8
[8,3,2,1,6,4,5,7]=>0000000=>8
[8,4,2,5,1,6,3,7]=>0000000=>8
[8,3,2,1,5,6,4,7]=>0000000=>8
[8,3,2,1,4,6,5,7]=>0000000=>8
[3,8,2,1,4,5,7,6]=>0000000=>8
[3,7,2,1,4,5,8,6]=>0000000=>8
[3,2,7,1,4,6,8,5]=>0000000=>8
[3,2,8,1,4,6,7,5]=>0000000=>8
[3,2,8,1,4,7,6,5]=>0000000=>8
[3,8,2,1,4,7,5,6]=>0000000=>8
[3,8,2,1,5,7,4,6]=>0000000=>8
[4,8,2,5,1,7,3,6]=>0000000=>8
[4,7,2,5,1,8,3,6]=>0000000=>8
[3,7,2,1,5,8,4,6]=>0000000=>8
[3,7,2,1,4,8,5,6]=>0000000=>8
[3,2,1,7,5,8,6,4]=>0010000=>3
[3,2,7,1,6,8,4,5]=>0000000=>8
[4,2,7,6,1,8,3,5]=>0000000=>8
[4,3,7,6,8,1,2,5]=>0000000=>8
[4,3,8,6,7,1,2,5]=>0000000=>8
[4,2,8,6,1,7,3,5]=>0000000=>8
[3,2,8,1,6,7,4,5]=>0000000=>8
[3,2,1,8,7,5,6,4]=>0010000=>3
[3,8,2,1,7,4,5,6]=>0000000=>8
[3,2,8,1,7,4,6,5]=>0000000=>8
[3,2,8,1,6,4,7,5]=>0000000=>8
[3,2,7,1,6,4,8,5]=>0000000=>8
[4,2,7,6,1,3,8,5]=>0000000=>8
[4,2,8,6,1,3,7,5]=>0000000=>8
[4,2,8,7,1,3,6,5]=>0000000=>8
[5,7,8,3,4,1,2,6]=>0000000=>8
[4,2,7,8,1,3,6,5]=>0000000=>8
[4,2,6,8,1,3,7,5]=>0000000=>8
[4,2,6,7,1,3,8,5]=>0000000=>8
[3,2,6,1,8,4,7,5]=>0000000=>8
[3,7,2,1,8,4,5,6]=>0000000=>8
[3,7,2,1,8,5,4,6]=>0000000=>8
[4,7,3,8,5,1,2,6]=>0000000=>8
[4,3,7,8,6,1,2,5]=>0000000=>8
[3,2,7,1,8,6,4,5]=>0000000=>8
[3,2,1,6,8,5,7,4]=>0010000=>3
[3,2,6,1,8,7,4,5]=>0000000=>8
[4,2,6,8,1,7,3,5]=>0000000=>8
[4,3,6,8,7,1,2,5]=>0000000=>8
[4,2,6,7,1,8,3,5]=>0000000=>8
[3,2,6,1,7,8,4,5]=>0000000=>8
[3,4,6,8,7,5,1,2]=>0000000=>8
[5,3,6,4,8,7,1,2]=>0000000=>8
[1,4,6,2,7,8,5,3]=>1000000=>1
[3,1,8,5,4,2,6,7]=>0000000=>8
[1,2,7,5,4,8,6,3]=>1100000=>1
[6,3,7,5,4,8,1,2]=>0000000=>8
[7,3,8,5,4,6,1,2]=>0000000=>8
[3,8,7,5,4,6,1,2]=>0000000=>8
[4,3,6,7,8,5,1,2]=>0000000=>8
[4,5,6,3,8,7,1,2]=>0000000=>8
[3,6,8,5,4,7,1,2]=>0000000=>8
[6,8,3,5,4,7,1,2]=>0000000=>8
[7,6,3,5,4,8,1,2]=>0000000=>8
[1,6,2,5,4,8,7,3]=>1000000=>1
[7,1,2,5,8,3,6,4]=>0000000=>8
[1,8,2,5,7,3,6,4]=>1000000=>1
[6,2,1,5,4,8,7,3]=>0000000=>8
[4,1,6,2,8,7,5,3]=>0000000=>8
[7,8,1,2,4,6,5,3]=>0000000=>8
[7,8,3,1,4,2,6,5]=>0000000=>8
[4,3,6,1,8,2,7,5]=>0000000=>8
[2,3,8,5,4,1,6,7]=>0000000=>8
[4,8,1,5,2,3,7,6]=>0000000=>8
[7,5,1,6,4,3,2,8]=>0000001=>7
[5,8,1,6,4,3,2,7]=>0000000=>8
[6,1,5,7,4,3,2,8]=>0000001=>7
[1,5,8,6,4,3,2,7]=>1000000=>1
[3,4,6,1,5,8,2,7]=>0000000=>8
[7,8,4,1,5,3,2,6]=>0000000=>8
[7,8,5,1,6,3,2,4]=>0000000=>8
[2,6,1,5,7,3,8,4]=>0000000=>8
[1,6,8,7,4,3,2,5]=>1000000=>1
[6,8,1,7,4,3,2,5]=>0000000=>8
[5,6,1,7,4,3,2,8]=>0000001=>7
[5,1,7,6,4,3,2,8]=>0000001=>7
[6,1,7,8,4,3,2,5]=>0000000=>8
[7,1,8,6,4,3,2,5]=>0000000=>8
[1,8,7,6,4,3,2,5]=>1000000=>1
[2,1,7,5,6,3,8,4]=>0100000=>2
[3,1,6,7,5,8,2,4]=>0000000=>8
[7,8,1,6,5,3,2,4]=>0000000=>8
[7,8,2,1,4,5,6,3]=>0000000=>8
[2,8,1,5,4,6,7,3]=>0000000=>8
[7,2,1,5,4,6,8,3]=>0000000=>8
[1,2,8,5,6,3,7,4]=>1100000=>1
[6,1,2,5,7,3,8,4]=>0000000=>8
[4,2,1,5,6,3,7,8]=>0000011=>6
[4,3,6,1,5,7,2,8]=>0000001=>7
[5,1,6,3,7,8,2,4]=>0000000=>8
[1,3,6,8,5,7,2,4]=>1000000=>1
[2,4,6,3,7,1,8,5]=>0000000=>8
[1,3,6,4,8,7,2,5]=>1000000=>1
[4,1,6,7,3,8,2,5]=>0000000=>8
[5,4,6,1,3,7,2,8]=>0000001=>7
[6,4,1,5,2,3,7,8]=>0000011=>6
[4,1,7,5,2,3,8,6]=>0000000=>8
[1,2,4,5,8,3,7,6]=>1100000=>1
[7,2,3,5,4,1,8,6]=>0000000=>8
[2,8,3,5,4,1,7,6]=>0000000=>8
[4,2,6,3,8,1,7,5]=>0000000=>8
[7,8,2,3,4,1,6,5]=>0000000=>8
[7,8,1,4,6,3,2,5]=>0000000=>8
[3,1,6,4,7,8,2,5]=>0000000=>8
[1,8,5,7,4,3,2,6]=>1000000=>1
[7,1,5,8,4,3,2,6]=>0000000=>8
[5,1,8,7,4,3,2,6]=>0000000=>8
[6,5,1,8,4,3,2,7]=>0000000=>8
[6,5,7,1,4,3,2,8]=>0000001=>7
[7,5,8,1,4,3,2,6]=>0000000=>8
[5,8,7,1,4,3,2,6]=>0000000=>8
[1,5,7,8,4,3,2,6]=>1000000=>1
[2,4,7,5,1,3,8,6]=>0000000=>8
[7,8,4,6,1,3,2,5]=>0000000=>8
[7,8,5,4,1,3,2,6]=>0000000=>8
[3,5,6,4,1,8,2,7]=>0000000=>8
[2,6,4,5,1,3,8,7]=>0000010=>6
[1,6,5,8,4,3,2,7]=>1000000=>1
[6,8,5,1,4,3,2,7]=>0000000=>8
[7,6,5,1,4,3,2,8]=>0000001=>7
[1,2,3,4,5,6,9,7,8]=>11111100=>1
[1,2,3,4,5,8,6,9,7]=>11111000=>1
[1,4,2,5,6,7,8,9,3]=>10000000=>1
[9,8,1,2,3,4,5,6,7]=>00000000=>9
[7,8,9,1,2,3,4,5,6]=>00000000=>9
[9,8,7,1,2,3,4,5,6]=>00000000=>9
[6,7,8,9,1,2,3,4,5]=>00000000=>9
[9,6,7,8,1,2,3,4,5]=>00000000=>9
[8,9,6,7,1,2,3,4,5]=>00000000=>9
[9,8,6,7,1,2,3,4,5]=>00000000=>9
[9,8,7,6,1,2,3,4,5]=>00000000=>9
[9,5,6,7,8,1,2,3,4]=>00000000=>9
[8,9,5,6,7,1,2,3,4]=>00000000=>9
[9,8,5,6,7,1,2,3,4]=>00000000=>9
[9,7,8,5,6,1,2,3,4]=>00000000=>9
[9,8,7,5,6,1,2,3,4]=>00000000=>9
[9,8,7,6,5,1,2,3,4]=>00000000=>9
[7,8,9,4,5,6,1,2,3]=>00000000=>9
[9,7,8,4,5,6,1,2,3]=>00000000=>9
[9,8,7,4,5,6,1,2,3]=>00000000=>9
[8,9,6,7,4,5,1,2,3]=>00000000=>9
[9,8,6,7,4,5,1,2,3]=>00000000=>9
[9,8,7,6,4,5,1,2,3]=>00000000=>9
[9,8,7,6,5,4,1,2,3]=>00000000=>9
[9,7,8,5,6,3,4,1,2]=>00000000=>9
[9,8,7,5,6,3,4,1,2]=>00000000=>9
[9,8,7,6,5,3,4,1,2]=>00000000=>9
[9,8,7,6,5,4,3,1,2]=>00000000=>9
[9,10,1,2,3,4,5,6,7,8]=>000000000=>10
[8,9,10,1,2,3,4,5,6,7]=>000000000=>10
[10,8,9,1,2,3,4,5,6,7]=>000000000=>10
[10,9,8,1,2,3,4,5,6,7]=>000000000=>10
[7,8,9,10,1,2,3,4,5,6]=>000000000=>10
[10,7,8,9,1,2,3,4,5,6]=>000000000=>10
[9,10,7,8,1,2,3,4,5,6]=>000000000=>10
[10,9,7,8,1,2,3,4,5,6]=>000000000=>10
[10,9,8,7,1,2,3,4,5,6]=>000000000=>10
[10,6,7,8,9,1,2,3,4,5]=>000000000=>10
[9,10,6,7,8,1,2,3,4,5]=>000000000=>10
[10,9,6,7,8,1,2,3,4,5]=>000000000=>10
[10,8,9,6,7,1,2,3,4,5]=>000000000=>10
[10,9,8,6,7,1,2,3,4,5]=>000000000=>10
[10,9,8,7,6,1,2,3,4,5]=>000000000=>10
[9,10,5,6,7,8,1,2,3,4]=>000000000=>10
[10,9,5,6,7,8,1,2,3,4]=>000000000=>10
[8,9,10,5,6,7,1,2,3,4]=>000000000=>10
[10,9,8,5,6,7,1,2,3,4]=>000000000=>10
[9,10,7,8,5,6,1,2,3,4]=>000000000=>10
[10,9,7,8,5,6,1,2,3,4]=>000000000=>10
[10,9,8,7,5,6,1,2,3,4]=>000000000=>10
[10,9,8,7,6,5,1,2,3,4]=>000000000=>10
[10,7,8,9,4,5,6,1,2,3]=>000000000=>10
[9,10,7,8,4,5,6,1,2,3]=>000000000=>10
[10,9,7,8,4,5,6,1,2,3]=>000000000=>10
[10,9,8,7,4,5,6,1,2,3]=>000000000=>10
[10,8,9,6,7,4,5,1,2,3]=>000000000=>10
[10,9,8,6,7,4,5,1,2,3]=>000000000=>10
[10,9,8,7,6,4,5,1,2,3]=>000000000=>10
[10,9,8,7,6,5,4,1,2,3]=>000000000=>10
[9,10,7,8,5,6,3,4,1,2]=>000000000=>10
[10,9,7,8,5,6,3,4,1,2]=>000000000=>10
[10,9,8,7,5,6,3,4,1,2]=>000000000=>10
[10,9,8,7,6,5,3,4,1,2]=>000000000=>10
[10,9,8,7,6,5,4,3,1,2]=>000000000=>10
[3,4,6,2,7,1,5,8]=>0000001=>7
[3,6,2,5,4,1,7,8]=>0000011=>6
[3,2,7,5,4,1,6,8]=>0000001=>7
[4,3,6,2,8,1,5,7]=>0000000=>8
[6,1,2,5,4,7,8,3]=>0000000=>8
[6,2,4,5,1,3,7,8]=>0000011=>6
[4,2,8,5,1,3,7,6]=>0000000=>8
[4,3,6,8,1,7,2,5]=>0000000=>8
[5,3,6,4,1,7,2,8]=>0000001=>7
[6,2,1,5,8,3,7,4]=>0000000=>8
[1,6,7,4,8,3,5,2]=>1000000=>1
[1,4,6,3,7,5,8,2]=>1000000=>1
[4,6,7,2,5,8,1,3]=>0000000=>8
[2,4,6,1,7,5,3,8]=>0000001=>7
[2,7,5,4,1,6,3,8]=>0000001=>7
[7,5,4,6,2,8,1,3]=>0000000=>8
[1,7,5,4,3,8,6,2]=>1000000=>1
[1,4,6,3,5,8,7,2]=>1000000=>1
[1,5,8,4,3,6,7,2]=>1000000=>1
[5,4,6,2,7,8,1,3]=>0000000=>8
[2,5,4,1,6,7,3,8]=>0000001=>7
[5,6,3,2,7,1,4,8]=>0000001=>7
[5,6,3,2,7,1,8,4]=>0000000=>8
[8,5,6,3,2,7,1,4]=>0000000=>8
[5,4,6,2,8,1,7,3]=>0000000=>8
[2,4,1,7,8,5,3,6]=>0000000=>8
[2,5,4,1,6,3,8,7]=>0000010=>6
[5,6,3,2,1,8,4,7]=>0000000=>8
[3,5,2,1,6,4,7,8]=>0000011=>6
[6,8,4,3,2,1,5,7]=>0000000=>8
[5,3,8,2,1,6,4,7]=>0000000=>8
[3,7,5,8,2,1,4,6]=>0000000=>8
[7,3,2,8,5,1,6,4]=>0000000=>8
[8,4,6,3,2,1,7,5]=>0000000=>8
[8,6,4,3,2,1,7,5]=>0000000=>8
[7,6,4,3,2,1,8,5]=>0000000=>8
[7,8,4,3,2,1,6,5]=>0000000=>8
[5,4,7,2,1,8,6,3]=>0000000=>8
[7,5,8,3,2,6,1,4]=>0000000=>8
[5,7,3,2,1,6,8,4]=>0000000=>8
[5,7,3,2,1,6,4,8]=>0000001=>7
[6,3,7,2,5,1,8,4]=>0000000=>8
[6,7,8,3,5,2,1,4]=>0000000=>8
[6,2,5,7,8,4,1,3]=>0000000=>8
[2,1,5,7,8,6,3,4]=>0100000=>2
[3,6,7,2,8,1,4,5]=>0000000=>8
[6,3,7,2,8,1,4,5]=>0000000=>8
[3,2,6,1,7,4,5,8]=>0000001=>7
[3,5,2,1,4,7,6,8]=>0000101=>5
[7,3,5,2,1,8,4,6]=>0000000=>8
[2,5,4,1,3,7,8,6]=>0000100=>5
[2,5,8,4,1,3,7,6]=>0000000=>8
[2,4,1,7,8,3,6,5]=>0000000=>8
[3,7,2,8,6,1,4,5]=>0000000=>8
[3,6,8,2,1,7,4,5]=>0000000=>8
[5,3,8,2,1,4,7,6]=>0000000=>8
[4,8,7,3,2,1,5,6]=>0000000=>8
[4,7,3,2,1,5,6,8]=>0000001=>7
[8,4,7,3,2,1,5,6]=>0000000=>8
[8,3,5,2,1,4,7,6]=>0000000=>8
[7,3,2,8,6,1,4,5]=>0000000=>8
[3,5,2,1,4,6,8,7]=>0000110=>5
[7,8,6,5,4,3,2,1,9]=>00000001=>8
[8,9,7,6,5,4,3,2,1,10]=>000000001=>9
[7,6,8,5,4,3,2,1,9]=>00000001=>8
[7,8,3,5,4,6,1,2]=>0000000=>8
[8,6,3,7,5,2,4,1]=>0000000=>8
[5,4,1,6,2,3,8,7]=>0000010=>6
[5,7,1,6,2,8,3,4]=>0000000=>8
[2,7,6,5,1,8,3,4]=>0000000=>8
[2,7,6,5,1,8,4,3]=>0000000=>8
[2,3,6,1,5,4,8,7]=>0000010=>6
[7,3,5,1,8,4,2,6]=>0000000=>8
[7,3,5,1,8,6,4,2]=>0000000=>8
[2,3,4,8,7,6,1,5]=>0000000=>8
[2,1,4,5,8,7,3,6]=>0100000=>2
[6,4,3,5,8,7,1,2]=>0000000=>8
[7,3,5,4,8,1,6,2]=>0000000=>8
[2,7,6,5,4,8,1,3]=>0000000=>8
[7,4,1,5,8,2,3,6]=>0000000=>8
[6,3,5,7,8,2,4,1]=>0000000=>8
[2,7,6,4,5,8,3,1]=>0000000=>8
[5,7,3,6,1,8,4,2]=>0000000=>8
[2,1,4,5,8,6,3,7]=>0100000=>2
[2,3,4,8,7,1,6,5]=>0000000=>8
[2,3,4,8,1,7,6,5]=>0000000=>8
[6,3,5,4,8,2,7,1]=>0000000=>8
[2,1,4,5,8,3,7,6]=>0100000=>2
[2,3,4,8,1,6,5,7]=>0000000=>8
[2,3,4,8,1,5,7,6]=>0000000=>8
[7,8,2,6,1,5,3,4]=>0000000=>8
[7,8,1,6,2,5,3,4]=>0000000=>8
[1,8,6,7,2,5,3,4]=>1000000=>1
[1,8,5,7,2,6,3,4]=>1000000=>1
[5,8,1,7,2,6,3,4]=>0000000=>8
[5,8,2,7,1,6,3,4]=>0000000=>8
[2,8,6,7,1,5,3,4]=>0000000=>8
[2,8,5,7,1,6,3,4]=>0000000=>8
[2,8,1,7,5,6,3,4]=>0000000=>8
[1,8,2,7,5,6,3,4]=>1000000=>1
[1,8,2,7,4,6,3,5]=>1000000=>1
[2,8,1,7,4,6,3,5]=>0000000=>8
[2,8,4,7,1,6,3,5]=>0000000=>8
[4,8,2,7,1,6,3,5]=>0000000=>8
[4,8,1,7,2,6,3,5]=>0000000=>8
[1,8,4,7,2,6,3,5]=>1000000=>1
[4,8,1,7,5,6,2,3]=>0000000=>8
[1,8,4,7,5,6,2,3]=>1000000=>1
[1,8,3,7,5,6,2,4]=>1000000=>1
[3,8,1,7,5,6,2,4]=>0000000=>8
[3,8,1,7,4,6,2,5]=>0000000=>8
[1,8,3,7,4,6,2,5]=>1000000=>1
[1,8,3,7,2,6,4,5]=>1000000=>1
[3,8,1,7,2,6,4,5]=>0000000=>8
[3,8,2,7,1,6,4,5]=>0000000=>8
[3,8,2,7,4,6,1,5]=>0000000=>8
[3,8,2,7,5,6,1,4]=>0000000=>8
[4,8,2,7,5,6,1,3]=>0000000=>8
[4,8,3,7,5,6,1,2]=>0000000=>8
[3,8,4,7,5,6,1,2]=>0000000=>8
[2,8,4,7,5,6,1,3]=>0000000=>8
[2,8,3,7,5,6,1,4]=>0000000=>8
[2,8,3,7,4,6,1,5]=>0000000=>8
[2,8,3,7,1,6,4,5]=>0000000=>8
[2,8,1,7,3,6,4,5]=>0000000=>8
[7,5,2,8,6,4,1,3]=>0000000=>8
[7,5,1,8,6,2,3,4]=>0000000=>8
[7,4,8,6,1,5,2,3]=>0000000=>8
[7,1,8,4,5,2,6,3]=>0000000=>8
[6,8,1,7,4,2,5,3]=>0000000=>8
[1,6,7,4,2,8,5,3]=>1000000=>1
[1,6,7,3,8,5,2,4]=>1000000=>1
[7,1,8,3,5,6,2,4]=>0000000=>8
[7,3,8,6,2,5,1,4]=>0000000=>8
[7,4,2,8,6,1,3,5]=>0000000=>8
[7,3,1,8,4,2,5,6]=>0000000=>8
[7,2,8,4,1,5,3,6]=>0000000=>8
[7,2,8,3,5,1,6,4]=>0000000=>8
[7,2,8,3,4,6,1,5]=>0000000=>8
[1,5,7,8,2,6,3,4]=>1000000=>1
[6,2,3,8,5,7,4,1]=>0000000=>8
[6,2,4,8,5,3,1,7]=>0000000=>8
[6,3,1,4,8,5,2,7]=>0000000=>8
[2,6,3,7,8,5,4,1]=>0000000=>8
[2,6,3,7,8,4,5,1]=>0000000=>8
[2,4,7,3,5,6,8,1]=>0000000=>8
[2,4,7,3,6,8,5,1]=>0000000=>8
[2,5,3,7,8,1,6,4]=>0000000=>8
[3,1,5,4,7,8,2,6]=>0000000=>8
[5,3,1,4,8,2,6,7]=>0000000=>8
[5,2,4,8,6,1,3,7]=>0000000=>8
[5,2,3,8,4,6,7,1]=>0000000=>8
[4,8,2,3,6,1,7,5]=>0000000=>8
[4,8,2,3,5,7,1,6]=>0000000=>8
[1,4,7,8,3,6,2,5]=>1000000=>1
[4,8,1,3,6,7,2,5]=>0000000=>8
[5,3,8,2,4,7,1,6]=>0000000=>8
[5,4,3,8,1,2,7,6]=>0000000=>8
[6,4,2,8,1,3,7,5]=>0000000=>8
[6,3,8,2,5,1,7,4]=>0000000=>8
[6,3,8,1,4,7,2,5]=>0000000=>8
[5,8,1,3,6,2,7,4]=>0000000=>8
[1,5,7,4,2,6,8,3]=>1000000=>1
[5,8,1,4,2,6,3,7]=>0000000=>8
[5,8,4,1,2,7,6,3]=>0000000=>8
[6,5,1,2,8,7,3,4]=>0000000=>8
[6,5,3,1,4,2,8,7]=>0000010=>6
[5,3,1,6,4,2,7,8]=>0000011=>6
[5,2,6,4,1,7,3,8]=>0000001=>7
[4,6,1,7,5,2,8,3]=>0000000=>8
[4,5,1,7,2,6,3,8]=>0000001=>7
[3,5,6,1,2,8,7,4]=>0000000=>8
[3,5,7,1,8,6,2,4]=>0000000=>8
[3,6,2,7,5,1,8,4]=>0000000=>8
[4,2,5,7,1,8,6,3]=>0000000=>8
[3,4,7,2,8,6,1,5]=>0000000=>8
[3,4,5,8,2,7,1,6]=>0000000=>8
[3,4,6,2,8,1,5,7]=>0000000=>8
[3,5,2,6,8,1,7,4]=>0000000=>8
[4,2,5,6,1,3,8,7]=>0000010=>6
[4,3,1,2,5,6,8,7]=>0001110=>4
[5,3,6,8,4,7,2,1]=>0000000=>8
[3,7,2,5,4,8,6,1]=>0000000=>8
[8,4,2,5,7,3,6,1]=>0000000=>8
[4,7,2,5,8,3,6,1]=>0000000=>8
[5,2,6,8,4,3,7,1]=>0000000=>8
[3,1,6,5,4,8,2,7]=>0000000=>8
[4,1,6,5,8,3,2,7]=>0000000=>8
[5,1,6,8,4,3,2,7]=>0000000=>8
[8,5,4,7,6,3,2,1]=>0000000=>8
[5,7,1,8,4,3,2,6]=>0000000=>8
[2,7,1,5,4,3,8,6]=>0000000=>8
[8,2,1,5,4,3,7,6]=>0000000=>8
[8,4,1,5,7,3,2,6]=>0000000=>8
[8,5,6,7,1,3,2,4]=>0000000=>8
[8,4,6,1,7,3,2,5]=>0000000=>8
[8,3,6,1,4,7,2,5]=>0000000=>8
[2,7,6,1,4,3,8,5]=>0000000=>8
[6,7,8,5,1,3,2,4]=>0000000=>8
[5,7,6,8,2,3,4,1]=>0000000=>8
[5,7,2,8,4,3,6,1]=>0000000=>8
[6,7,8,2,4,3,5,1]=>0000000=>8
[4,7,6,2,8,3,5,1]=>0000000=>8
[8,3,6,2,4,7,5,1]=>0000000=>8
[3,7,6,2,4,8,5,1]=>0000000=>8
[5,7,3,8,4,6,2,1]=>0000000=>8
[4,7,3,5,8,6,2,1]=>0000000=>8
[8,7,2,1,4,3,6,5]=>0000000=>8
[8,7,3,1,4,6,2,5]=>0000000=>8
[8,7,6,3,2,5,4,1]=>0000000=>8
[8,7,3,5,1,6,2,4]=>0000000=>8
[8,7,2,5,1,3,6,4]=>0000000=>8
[8,2,6,5,1,3,7,4]=>0000000=>8
[8,4,6,5,7,1,2,3]=>0000000=>8
[5,7,6,8,4,1,2,3]=>0000000=>8
[4,7,6,5,8,1,2,3]=>0000000=>8
[3,7,6,5,1,8,2,4]=>0000000=>8
[8,1,2,3,4,5,6,7,9]=>00000001=>8
[1,9,2,3,4,5,6,7,8]=>10000000=>1
[9,1,2,3,4,5,6,7,8,10]=>000000001=>9
[1,8,9,2,3,4,5,6,7]=>10000000=>1
[1,10,2,3,4,5,6,7,8,9]=>100000000=>1
[10,1,2,3,4,5,6,7,8,9,11]=>0000000001=>10
[1,11,2,3,4,5,6,7,8,9,10]=>1000000000=>1
[3,6,4,8,7,5,1,2]=>0000000=>8
[5,6,4,3,8,7,1,2]=>0000000=>8
[1,6,2,4,7,8,5,3]=>1000000=>1
[3,6,2,4,8,1,5,7]=>0000000=>8
[3,4,7,2,8,1,6,5]=>0000000=>8
[1,4,7,2,5,8,6,3]=>1000000=>1
[7,3,8,4,5,6,1,2]=>0000000=>8
[3,5,6,4,8,7,1,2]=>0000000=>8
[4,6,8,5,3,7,1,2]=>0000000=>8
[6,8,5,3,4,7,1,2]=>0000000=>8
[1,6,5,4,2,8,7,3]=>1000000=>1
[1,8,5,2,7,3,6,4]=>1000000=>1
[4,2,7,5,1,8,6,3]=>0000000=>8
[7,8,1,4,2,6,5,3]=>0000000=>8
[1,3,6,4,8,2,5,7]=>1000000=>1
[4,1,7,5,3,2,6,8]=>0000001=>7
[6,5,1,3,4,2,8,7]=>0000010=>6
[4,8,5,3,1,7,2,6]=>0000000=>8
[7,4,5,3,2,8,1,6]=>0000000=>8
[5,8,3,6,1,4,2,7]=>0000000=>8
[2,5,8,6,4,1,3,7]=>0000000=>8
[1,4,6,2,5,8,3,7]=>1000000=>1
[3,6,2,5,8,1,7,4]=>0000000=>8
[1,6,8,7,4,2,3,5]=>1000000=>1
[6,1,7,8,2,4,3,5]=>0000000=>8
[7,1,8,6,3,4,2,5]=>0000000=>8
[7,2,1,4,5,6,8,3]=>0000000=>8
[1,2,8,3,6,5,7,4]=>1100000=>1
[6,1,3,2,7,5,8,4]=>0000000=>8
[1,6,3,8,5,7,2,4]=>1000000=>1
[2,6,4,1,7,5,8,3]=>0000000=>8
[7,6,5,8,1,4,2,3]=>0000000=>8
[5,8,6,7,3,2,1,4]=>0000000=>8
[1,6,4,3,7,2,8,5]=>1000000=>1
[2,6,3,4,8,7,1,5]=>0000000=>8
[7,1,3,4,5,2,8,6]=>0000000=>8
[1,8,3,5,4,2,7,6]=>1000000=>1
[4,1,6,3,8,2,7,5]=>0000000=>8
[7,8,2,4,6,3,1,5]=>0000000=>8
[3,2,6,4,7,8,1,5]=>0000000=>8
[2,8,5,7,4,3,1,6]=>0000000=>8
[7,2,5,8,3,4,1,6]=>0000000=>8
[5,3,8,7,1,2,6,4]=>0000000=>8
[6,5,3,8,2,1,7,4]=>0000000=>8
[7,5,8,4,1,2,3,6]=>0000000=>8
[5,8,7,4,1,3,2,6]=>0000000=>8
[3,5,7,8,4,1,2,6]=>0000000=>8
[1,4,7,5,3,8,2,6]=>1000000=>1
[2,4,6,7,3,1,8,5]=>0000000=>8
[7,8,4,6,3,1,2,5]=>0000000=>8
[2,6,4,5,3,8,1,7]=>0000000=>8
[3,6,5,8,4,2,1,7]=>0000000=>8
[5,6,8,4,2,3,1,7]=>0000000=>8
[6,8,5,4,3,1,2,7]=>0000000=>8
[6,1,4,2,8,5,7,3]=>0000000=>8
[6,7,5,8,2,1,4,3]=>0000000=>8
[1,3,8,5,7,6,2,4]=>1000000=>1
[8,3,1,5,6,2,7,4]=>0000000=>8
[2,8,1,5,6,3,7,4]=>0000000=>8
[2,5,8,6,1,7,3,4]=>0000000=>8
[8,6,1,5,7,2,3,4]=>0000000=>8
[3,8,6,5,7,1,2,4]=>0000000=>8
[7,6,5,8,1,2,4,3]=>0000000=>8
[3,2,8,5,7,6,1,4]=>0000000=>8
[4,2,1,3,6,7,8,5]=>0001000=>4
[4,3,1,2,6,7,8,5]=>0001000=>4
[8,1,6,5,7,3,2,4]=>0000000=>8
[5,8,1,6,3,7,2,4]=>0000000=>8
[1,7,6,5,4,2,8,3]=>1000000=>1
[4,1,7,3,5,6,8,2]=>0000000=>8
[1,8,3,6,5,7,2,4]=>1000000=>1
[8,1,3,5,7,6,2,4]=>0000000=>8
[7,8,5,4,1,6,2,3]=>0000000=>8
[7,4,6,2,5,1,8,3]=>0000000=>8
[7,2,6,4,5,1,8,3]=>0000000=>8
[8,2,3,6,5,7,1,4]=>0000000=>8
[5,4,7,3,6,8,1,2]=>0000000=>8
[3,4,7,8,5,6,1,2]=>0000000=>8
[3,4,7,2,5,1,6,8]=>0000001=>7
[1,4,7,2,5,8,3,6]=>1000000=>1
[3,6,2,4,7,1,5,8]=>0000001=>7
[6,8,3,4,5,7,1,2]=>0000000=>8
[4,3,6,7,5,8,1,2]=>0000000=>8
[6,3,7,5,8,4,1,2]=>0000000=>8
[7,3,8,6,4,5,1,2]=>0000000=>8
[3,2,7,6,5,1,4,8]=>0000001=>7
[1,2,7,6,5,8,3,4]=>1100000=>1
[4,8,2,6,1,5,3,7]=>0000000=>8
[2,3,8,6,4,1,5,7]=>0000000=>8
[4,3,6,2,5,1,8,7]=>0000010=>6
[7,8,3,2,5,1,4,6]=>0000000=>8
[7,8,1,2,5,6,3,4]=>0000000=>8
[4,1,6,2,5,7,3,8]=>0000001=>7
[6,1,2,5,8,7,3,4]=>0000000=>8
[2,1,8,6,4,7,3,5]=>0100000=>2
[7,1,3,6,8,4,2,5]=>0000000=>8
[1,8,3,6,7,4,5,2]=>1000000=>1
[7,1,5,8,3,6,2,4]=>0000000=>8
[5,1,8,7,2,3,6,4]=>0000000=>8
[6,1,5,7,4,2,8,3]=>0000000=>8
[3,1,6,4,7,2,5,8]=>0000001=>7
[2,4,7,5,1,8,3,6]=>0000000=>8
[6,5,7,1,4,2,3,8]=>0000001=>7
[5,6,8,1,3,2,4,7]=>0000000=>8
[6,8,5,1,3,4,2,7]=>0000000=>8
[2,8,3,4,5,1,7,6]=>0000000=>8
[6,2,4,3,1,5,7,8]=>0000011=>6
[4,2,8,3,1,7,5,6]=>0000000=>8
[1,3,7,4,8,2,5,6]=>1000000=>1
[5,3,7,4,1,6,2,8]=>0000001=>7
[2,4,7,3,6,1,8,5]=>0000000=>8
[5,8,7,6,3,1,2,4]=>0000000=>8
[7,5,6,8,1,4,3,2]=>0000000=>8
[2,4,7,1,6,5,3,8]=>0000001=>7
[1,2,7,8,5,4,3,6]=>1100000=>1
[6,3,1,2,8,4,5,7]=>0000000=>8
[4,2,1,3,6,5,8,7]=>0001010=>4
[2,8,1,4,5,6,3,7]=>0000000=>8
[7,2,1,5,4,6,3,8]=>0000001=>7
[4,2,6,1,8,5,3,7]=>0000000=>8
[7,8,2,1,4,5,3,6]=>0000000=>8
[7,8,4,1,5,3,6,2]=>0000000=>8
[3,4,6,1,5,8,7,2]=>0000000=>8
[7,5,1,6,4,3,8,2]=>0000000=>8
[5,8,1,6,3,4,7,2]=>0000000=>8
[6,5,1,8,2,7,4,3]=>0000000=>8
[6,8,1,7,5,2,3,4]=>0000000=>8
[7,6,1,8,5,3,2,4]=>0000000=>8
[5,6,1,7,4,8,2,3]=>0000000=>8
[3,6,1,5,7,4,2,8]=>0000001=>7
[2,5,6,1,7,4,8,3]=>0000000=>8
[3,1,7,5,6,4,8,2]=>0000000=>8
[5,1,7,6,4,8,3,2]=>0000000=>8
[6,1,7,8,5,3,4,2]=>0000000=>8
[7,1,8,6,5,4,2,3]=>0000000=>8
[2,6,5,7,3,4,8,1]=>0000000=>8
[1,6,4,7,5,8,2,3]=>1000000=>1
[8,5,3,6,2,7,4,1]=>0000000=>8
[1,3,7,4,6,8,2,5]=>1000000=>1
[4,7,5,6,3,2,8,1]=>0000000=>8
[1,7,6,5,4,8,2,3]=>1000000=>1
[8,1,6,5,7,2,4,3]=>0000000=>8
[1,2,7,6,8,3,4,5]=>1100000=>1
[6,1,7,5,3,8,2,4]=>0000000=>8
[2,1,7,5,6,8,3,4]=>0100000=>2
[5,4,1,7,6,8,2,3]=>0000000=>8
[4,8,5,6,2,7,3,1]=>0000000=>8
[3,8,6,4,2,7,5,1]=>0000000=>8
[7,8,5,2,4,6,3,1]=>0000000=>8
[2,8,6,3,7,4,5,1]=>0000000=>8
[7,8,1,6,2,4,5,3]=>0000000=>8
[6,8,1,4,7,2,5,3]=>0000000=>8
[3,8,4,1,7,2,6,5]=>0000000=>8
[5,4,7,1,8,3,2,6]=>0000000=>8
[3,7,4,1,8,5,2,6]=>0000000=>8
[6,7,1,4,8,3,2,5]=>0000000=>8
[2,7,1,8,4,5,3,6]=>0000000=>8
[6,1,2,8,4,3,5,7]=>0000000=>8
[6,5,1,4,3,8,2,7]=>0000000=>8
[1,6,2,5,8,3,4,7]=>1000000=>1
[8,5,1,3,7,2,6,4]=>0000000=>8
[8,4,2,1,7,3,6,5]=>0000000=>8
[7,4,2,1,8,5,3,6]=>0000000=>8
[1,5,4,2,8,3,6,7]=>1000000=>1
[6,4,3,1,5,8,2,7]=>0000000=>8
[3,7,6,8,4,5,2,1]=>0000000=>8
[2,7,6,8,5,3,4,1]=>0000000=>8
[1,7,6,8,5,4,2,3]=>1000000=>1
[1,4,8,6,7,5,2,3]=>1000000=>1
[2,4,8,6,7,3,5,1]=>0000000=>8
[7,3,8,5,4,6,2,1]=>0000000=>8
[3,4,8,5,6,7,2,1]=>0000000=>8
[6,3,5,8,4,7,2,1]=>0000000=>8
[5,4,3,8,6,7,2,1]=>0000000=>8
[5,4,2,8,7,3,6,1]=>0000000=>8
[6,2,5,8,7,3,4,1]=>0000000=>8
[3,2,8,5,7,4,6,1]=>0000000=>8
[1,3,8,7,5,6,2,4]=>1000000=>1
[2,1,8,7,4,6,3,5]=>0100000=>2
[3,1,8,5,7,6,2,4]=>0000000=>8
[6,1,5,8,7,4,2,3]=>0000000=>8
[5,4,1,8,7,6,2,3]=>0000000=>8
[5,8,6,7,4,3,2,1]=>0000000=>8
[4,8,7,5,6,3,2,1]=>0000000=>8
[4,2,1,6,3,5,8,7]=>0000010=>6
[6,2,1,4,3,5,8,7]=>0000010=>6
[6,2,1,4,3,8,5,7]=>0000000=>8
[8,2,1,4,3,6,5,7]=>0000000=>8
[6,2,4,1,3,5,8,7]=>0000010=>6
[2,1,6,4,3,5,8,7]=>0100010=>2
[6,4,2,1,3,5,8,7]=>0000010=>6
[8,4,2,1,3,6,5,7]=>0000000=>8
[8,4,2,1,6,3,5,7]=>0000000=>8
[6,4,2,1,8,3,5,7]=>0000000=>8
[2,6,1,4,3,8,5,7]=>0000000=>8
[2,1,8,4,3,6,5,7]=>0100000=>2
[4,8,2,1,3,6,5,7]=>0000000=>8
[8,6,2,1,4,3,5,7]=>0000000=>8
[2,8,1,4,6,3,5,7]=>0000000=>8
[2,6,1,4,8,3,5,7]=>0000000=>8
[2,6,4,1,8,3,5,7]=>0000000=>8
[2,6,4,8,1,3,5,7]=>0000000=>8
[4,6,2,8,1,3,5,7]=>0000000=>8
[4,2,6,1,8,3,5,7]=>0000000=>8
[6,2,4,1,8,3,5,7]=>0000000=>8
[4,2,1,6,8,3,5,7]=>0000000=>8
[4,2,1,6,3,8,5,7]=>0000000=>8
[2,1,4,3,8,6,5,7]=>0101000=>2
[4,2,1,3,8,6,5,7]=>0001000=>4
[4,2,1,8,3,6,5,7]=>0000000=>8
[8,2,1,6,4,3,5,7]=>0000000=>8
[8,2,6,1,4,3,5,7]=>0000000=>8
[4,2,8,1,3,6,5,7]=>0000000=>8
[2,4,1,8,3,6,5,7]=>0000000=>8
[2,4,8,1,6,3,5,7]=>0000000=>8
[8,4,6,2,1,3,5,7]=>0000000=>8
[4,6,8,2,1,3,5,7]=>0000000=>8
[2,6,1,8,4,3,5,7]=>0000000=>8
[2,1,8,6,4,3,5,7]=>0100000=>2
[2,8,6,4,1,3,5,7]=>0000000=>8
[4,8,6,2,1,3,5,7]=>0000000=>8
[6,8,4,2,1,3,5,7]=>0000000=>8
[3,2,6,1,5,4,8,7]=>0000010=>6
[5,2,4,3,8,1,7,6]=>0000000=>8
[4,3,6,1,5,2,8,7]=>0000010=>6
[4,3,8,2,6,1,7,5]=>0000000=>8
[4,3,8,1,7,2,6,5]=>0000000=>8
[4,3,8,1,5,2,7,6]=>0000000=>8
[2,1,5,4,8,3,7,6]=>0100000=>2
[4,3,7,1,8,5,6,2]=>0000000=>8
[4,3,6,5,8,1,7,2]=>0000000=>8
[6,3,5,4,7,2,8,1]=>0000000=>8
[6,3,5,4,8,1,7,2]=>0000000=>8
[7,1,6,3,8,4,5,2]=>0000000=>8
[7,4,6,5,8,1,3,2]=>0000000=>8
[8,4,6,1,3,2,7,5]=>0000000=>8
[8,1,6,3,4,2,7,5]=>0000000=>8
[8,1,6,3,7,2,5,4]=>0000000=>8
[8,3,5,2,6,1,7,4]=>0000000=>8
[8,2,7,1,5,3,6,4]=>0000000=>8
[8,2,4,1,5,3,7,6]=>0000000=>8
[3,2,8,4,6,1,7,5]=>0000000=>8
[3,2,7,6,8,1,5,4]=>0000000=>8
[3,2,7,1,8,5,6,4]=>0000000=>8
[3,2,6,5,8,1,7,4]=>0000000=>8
[7,6,8,1,5,2,4,3]=>0000000=>8
[7,1,8,2,6,4,5,3]=>0000000=>8
[7,2,8,1,5,4,6,3]=>0000000=>8
[6,2,7,4,5,3,8,1]=>0000000=>8
[5,4,7,2,6,3,8,1]=>0000000=>8
[2,1,6,5,8,3,7,4]=>0100000=>2
[5,4,7,1,8,3,6,2]=>0000000=>8
[5,4,6,3,8,1,7,2]=>0000000=>8
[2,8,3,1,5,4,6,7]=>0000000=>8
[2,5,3,4,7,1,8,6]=>0000000=>8
[2,4,8,3,5,7,6,1]=>0000000=>8
[4,2,5,3,1,8,6,7]=>0000100=>5
[4,2,1,8,5,3,6,7]=>0000000=>8
[5,4,1,3,8,2,6,7]=>0000000=>8
[5,1,4,8,3,2,6,7]=>0000000=>8
[1,5,8,4,3,2,6,7]=>1000000=>1
[1,8,5,4,3,2,6,7]=>1000000=>1
[1,7,4,3,8,5,2,6]=>1000000=>1
[1,5,7,3,8,4,2,6]=>1000000=>1
[5,1,4,7,8,3,2,6]=>0000000=>8
[4,8,1,5,7,3,6,2]=>0000000=>8
[8,1,5,3,7,4,6,2]=>0000000=>8
[3,8,4,7,6,5,2,1]=>0000000=>8
[1,6,8,5,3,7,4,2]=>1000000=>1
[6,8,1,7,4,3,5,2]=>0000000=>8
[6,4,8,1,7,3,5,2]=>0000000=>8
[6,4,8,7,1,5,2,3]=>0000000=>8
[7,6,4,1,3,8,2,5]=>0000000=>8
[1,7,5,6,3,2,8,4]=>1000000=>1
[4,2,1,7,8,5,3,6]=>0000000=>8
[2,7,4,6,3,1,8,5]=>0000000=>8
[2,6,8,4,3,7,5,1]=>0000000=>8
[6,2,4,8,3,7,5,1]=>0000000=>8
[7,2,6,3,4,1,8,5]=>0000000=>8
[2,6,7,3,1,4,8,5]=>0000000=>8
[2,7,1,8,3,5,4,6]=>0000000=>8
[2,1,7,3,5,8,4,6]=>0100000=>2
[8,7,1,3,6,2,4,5]=>0000000=>8
[8,2,1,7,3,5,6,4]=>0000000=>8
[7,8,2,6,3,1,5,4]=>0000000=>8
[8,7,2,6,3,5,4,1]=>0000000=>8
[1,2,8,7,4,5,6,3]=>1100000=>1
[8,3,7,1,5,6,2,4]=>0000000=>8
[8,6,1,2,7,5,3,4]=>0000000=>8
[8,1,6,2,7,4,5,3]=>0000000=>8
[1,8,5,2,6,7,4,3]=>1000000=>1
[5,2,1,8,6,7,4,3]=>0000000=>8
[2,8,5,7,6,4,3,1]=>0000000=>8
[1,7,8,5,2,6,4,3]=>1000000=>1
[7,8,1,6,4,2,5,3]=>0000000=>8
[7,8,6,1,5,3,2,4]=>0000000=>8
[7,3,8,6,1,5,2,4]=>0000000=>8
[8,7,6,1,5,3,4,2]=>0000000=>8
[8,7,1,6,4,5,3,2]=>0000000=>8
[8,1,7,5,6,4,3,2]=>0000000=>8
[1,8,6,7,5,4,3,2]=>1000000=>1
[4,5,3,6,1,2,8,7]=>0000010=>6
[8,1,4,7,3,6,2,5]=>0000000=>8
[2,1,8,5,7,4,3,6]=>0100000=>2
[6,5,3,7,1,8,4,2]=>0000000=>8
[6,5,1,4,7,8,3,2]=>0000000=>8
[6,3,4,7,5,8,1,2]=>0000000=>8
[4,7,1,3,5,8,6,2]=>0000000=>8
[4,8,3,7,1,2,6,5]=>0000000=>8
[5,3,7,8,2,4,6,1]=>0000000=>8
[5,3,7,6,2,1,8,4]=>0000000=>8
[5,3,6,2,8,7,1,4]=>0000000=>8
[6,7,3,5,1,8,2,4]=>0000000=>8
[2,1,6,7,5,8,3,4]=>0100000=>2
[2,1,5,7,3,6,8,4]=>0100000=>2
[2,4,7,1,6,5,8,3]=>0000000=>8
[3,4,6,2,7,8,5,1]=>0000000=>8
[4,6,1,2,5,8,7,3]=>0000000=>8
[5,6,1,4,8,2,7,3]=>0000000=>8
[3,5,6,4,7,1,8,2]=>0000000=>8
[3,4,6,1,5,7,8,2]=>0000000=>8
[3,4,1,5,7,6,8,2]=>0000000=>8
[3,8,2,7,1,6,5,4]=>0000000=>8
[3,8,2,7,6,1,5,4]=>0000000=>8
[3,8,2,7,6,5,1,4]=>0000000=>8
[3,8,2,7,6,5,4,1]=>0000000=>8
[4,8,7,2,6,5,3,1]=>0000000=>8
[4,8,7,2,6,5,1,3]=>0000000=>8
[4,8,7,2,6,1,5,3]=>0000000=>8
[4,8,7,2,1,6,5,3]=>0000000=>8
[4,8,7,3,1,6,5,2]=>0000000=>8
[4,8,7,3,2,1,6,5]=>0000000=>8
[4,8,7,3,2,6,1,5]=>0000000=>8
[4,8,7,3,2,6,5,1]=>0000000=>8
[4,8,7,3,6,2,5,1]=>0000000=>8
[4,8,7,3,6,2,1,5]=>0000000=>8
[4,8,7,3,6,1,5,2]=>0000000=>8
[4,8,7,3,6,5,1,2]=>0000000=>8
[4,8,7,3,6,5,2,1]=>0000000=>8
[5,8,7,6,3,4,2,1]=>0000000=>8
[5,8,7,6,3,1,4,2]=>0000000=>8
[5,8,7,6,3,2,4,1]=>0000000=>8
[5,8,7,6,2,4,3,1]=>0000000=>8
[5,8,7,6,2,1,4,3]=>0000000=>8
[5,8,7,6,4,2,3,1]=>0000000=>8
[5,8,7,6,4,2,1,3]=>0000000=>8
[5,8,7,6,4,1,3,2]=>0000000=>8
[5,8,7,6,4,3,1,2]=>0000000=>8
[7,3,5,2,6,4,1,8]=>0000001=>7
[7,2,1,5,6,4,3,8]=>0000001=>7
[1,4,6,7,3,8,2,5]=>1000000=>1
[6,4,5,7,1,3,8,2]=>0000000=>8
[6,2,1,5,7,4,8,3]=>0000000=>8
[3,2,1,5,7,4,8,6]=>0010000=>3
[2,4,6,7,3,8,1,5]=>0000000=>8
[1,4,6,7,3,8,5,2]=>1000000=>1
[1,5,6,7,8,3,4,2]=>1000000=>1
[2,5,6,7,8,3,1,4]=>0000000=>8
[3,2,1,6,7,8,4,5]=>0010000=>3
[5,2,1,6,7,8,4,3]=>0000000=>8
[5,3,6,1,7,8,4,2]=>0000000=>8
[1,5,6,7,8,3,2,4]=>1000000=>1
[6,4,5,7,2,1,8,3]=>0000000=>8
[6,3,5,2,7,1,8,4]=>0000000=>8
[6,3,4,2,1,7,8,5]=>0000000=>8
[4,3,6,2,7,8,5,1]=>0000000=>8
[4,2,1,5,7,3,8,6]=>0000000=>8
[1,5,6,7,8,2,4,3]=>1000000=>1
[1,5,6,7,8,4,2,3]=>1000000=>1
[3,4,6,7,1,8,5,2]=>0000000=>8
[4,3,6,1,7,8,5,2]=>0000000=>8
[2,1,4,3,6,5,8,7,9]=>01010101=>2
[2,4,1,3,6,5,8,7,9]=>00010101=>4
[2,4,1,6,3,5,8,7,9]=>00000101=>6
[2,4,1,6,3,8,5,7,9]=>00000001=>8
[2,4,1,6,3,7,5,9,8]=>00000010=>7
[2,4,1,5,3,7,6,9,8]=>00001010=>5
[2,3,1,5,4,7,6,9,8]=>00101010=>3
[1,3,2,5,4,7,6,9,8]=>10101010=>1
[2,4,1,3,6,5,8,7,10,9]=>000101010=>4
[2,4,6,1,3,5,8,7,9]=>00000101=>6
[2,4,1,6,3,5,8,7,10,9]=>000001010=>6
[2,4,1,6,8,3,5,7,9]=>00000001=>8
[2,4,1,6,3,8,5,7,10,9]=>000000010=>8
[2,4,1,6,3,8,9,5,7]=>00000000=>9
[2,4,1,6,3,8,5,10,7,9]=>000000000=>10
[2,4,1,6,3,7,5,8,9]=>00000011=>7
[2,4,1,6,3,8,5,9,7,10]=>000000001=>9
[2,4,1,5,3,8,6,9,7]=>00001000=>5
[2,4,1,6,3,7,5,9,8,10]=>000000101=>7
[2,3,1,6,4,7,5,9,8]=>00100010=>3
[2,4,1,5,3,7,6,9,8,10]=>000010101=>5
[1,4,2,5,3,7,6,9,8]=>10001010=>1
[2,3,1,5,4,7,6,9,8,10]=>001010101=>3
[1,3,2,5,4,7,6,9,8,10]=>101010101=>1
[7,1,2,3,4,5,6,8,9]=>00000011=>7
[1,4,3,6,2,5,7,8]=>1000011=>1
[1,4,3,7,2,5,6,8]=>1000001=>1
[1,4,3,7,6,8,2,5]=>1000000=>1
[1,4,3,7,5,8,2,6]=>1000000=>1
[1,4,3,7,2,6,5,8]=>1000001=>1
[1,5,3,7,4,8,2,6]=>1000000=>1
[1,3,2,6,5,8,4,7]=>1010000=>1
[1,5,4,8,2,6,3,7]=>1000000=>1
[1,5,4,8,3,7,2,6]=>1000000=>1
[1,2,3,6,5,8,4,7]=>1110000=>1
[6,8,2,4,5,7,1,3]=>0000000=>8
[7,8,1,4,5,3,6,2]=>0000000=>8
[3,8,7,4,1,6,5,2]=>0000000=>8
[4,8,3,6,1,5,7,2]=>0000000=>8
[5,8,3,1,6,4,7,2]=>0000000=>8
[5,8,1,4,7,6,3,2]=>0000000=>8
[7,5,1,8,6,2,4,3]=>0000000=>8
[7,4,1,8,2,6,3,5]=>0000000=>8
[7,1,8,4,2,6,3,5]=>0000000=>8
[1,6,3,8,5,2,4,7]=>1000000=>1
[6,1,3,8,5,2,4,7]=>0000000=>8
[7,1,8,3,6,2,5,4]=>0000000=>8
[7,3,1,8,4,2,6,5]=>0000000=>8
[7,2,8,4,1,6,5,3]=>0000000=>8
[7,2,8,3,6,5,1,4]=>0000000=>8
[7,2,8,3,6,1,5,4]=>0000000=>8
[7,1,8,2,3,6,5,4]=>0000000=>8
[6,1,2,8,3,5,4,7]=>0000000=>8
[1,5,2,3,8,4,7,6]=>1000000=>1
[5,1,2,3,8,4,7,6]=>0000000=>8
[5,2,3,8,1,4,7,6]=>0000000=>8
[6,2,8,1,3,5,4,7]=>0000000=>8
[6,2,4,1,8,7,3,5]=>0000000=>8
[6,3,1,4,2,8,5,7]=>0000000=>8
[3,1,6,4,2,8,5,7]=>0000000=>8
[2,6,3,8,7,1,5,4]=>0000000=>8
[2,6,3,8,5,1,4,7]=>0000000=>8
[2,5,1,8,3,4,7,6]=>0000000=>8
[2,5,1,3,8,4,7,6]=>0000000=>8
[1,2,5,3,8,4,7,6]=>1100000=>1
[1,2,4,8,3,7,6,5]=>1100000=>1
[2,4,8,1,3,7,6,5]=>0000000=>8
[2,4,8,3,7,1,6,5]=>0000000=>8
[2,4,8,3,7,6,1,5]=>0000000=>8
[2,5,3,8,1,7,4,6]=>0000000=>8
[2,5,4,1,3,8,7,6]=>0000100=>5
[3,1,5,4,8,2,7,6]=>0000000=>8
[5,3,1,4,8,2,7,6]=>0000000=>8
[5,2,3,8,4,7,1,6]=>0000000=>8
[4,8,2,3,7,6,1,5]=>0000000=>8
[4,8,2,3,7,1,6,5]=>0000000=>8
[4,8,1,2,3,7,6,5]=>0000000=>8
[1,4,8,2,3,7,6,5]=>1000000=>1
[1,4,8,3,7,2,6,5]=>1000000=>1
[6,3,8,1,5,2,4,7]=>0000000=>8
[5,3,8,1,2,4,7,6]=>0000000=>8
[5,1,3,8,2,4,7,6]=>0000000=>8
[1,5,3,8,2,4,7,6]=>1000000=>1
[1,5,4,8,2,7,6,3]=>1000000=>1
[5,1,4,8,2,7,6,3]=>0000000=>8
[5,4,8,1,2,7,6,3]=>0000000=>8
[6,5,1,2,8,7,4,3]=>0000000=>8
[5,3,1,6,4,2,8,7]=>0000010=>6
[5,1,6,2,8,7,4,3]=>0000000=>8
[4,1,5,8,2,7,6,3]=>0000000=>8
[4,1,2,5,8,7,6,3]=>0000000=>8
[1,4,2,5,8,7,6,3]=>1000000=>1
[1,3,5,2,8,7,4,6]=>1000000=>1
[3,5,1,2,8,7,4,6]=>0000000=>8
[3,6,2,8,7,5,1,4]=>0000000=>8
[4,2,6,1,8,7,3,5]=>0000000=>8
[4,3,1,5,8,2,7,6]=>0000000=>8
[3,5,2,8,7,1,4,6]=>0000000=>8
[3,4,8,7,2,6,1,5]=>0000000=>8
[3,4,8,7,1,2,6,5]=>0000000=>8
[3,4,8,1,7,2,6,5]=>0000000=>8
[1,3,4,8,7,2,6,5]=>1000000=>1
[1,3,4,8,2,7,6,5]=>1000000=>1
[3,4,8,1,2,7,6,5]=>0000000=>8
[3,4,8,2,7,1,6,5]=>0000000=>8
[3,4,8,2,7,6,1,5]=>0000000=>8
[4,2,5,8,1,7,6,3]=>0000000=>8
[4,3,1,2,5,8,7,6]=>0001100=>4
[3,1,4,2,5,8,7,6]=>0001100=>4
[2,3,5,1,8,7,6,4]=>0000000=>8
[7,8,2,1,5,3,6,4]=>0000000=>8
[6,4,1,2,7,3,5,8]=>0000001=>7
[2,3,7,5,4,1,8,6]=>0000000=>8
[6,3,1,5,4,2,7,8]=>0000011=>6
[7,8,1,5,4,2,6,3]=>0000000=>8
[7,8,3,5,4,1,6,2]=>0000000=>8
[7,8,2,5,4,1,3,6]=>0000000=>8
[7,8,2,5,4,6,1,3]=>0000000=>8
[6,2,1,5,4,7,3,8]=>0000001=>7
[5,3,6,1,4,7,8,2]=>0000000=>8
[5,3,6,2,4,7,1,8]=>0000001=>7
[6,4,2,1,7,3,8,5]=>0000000=>8
[4,3,7,5,8,6,1,2]=>0000000=>8
[4,2,7,1,8,3,6,5]=>0000000=>8
[3,2,6,7,4,8,1,5]=>0000000=>8
[3,1,6,7,4,8,5,2]=>0000000=>8
[1,7,6,5,3,8,4,2]=>1000000=>1
[2,7,6,5,3,8,1,4]=>0000000=>8
[1,7,6,5,2,4,8,3]=>1000000=>1
[2,7,6,5,3,1,4,8]=>0000001=>7
[2,7,1,4,8,3,5,6]=>0000000=>8
[3,7,6,4,8,5,1,2]=>0000000=>8
[5,7,6,3,8,4,1,2]=>0000000=>8
[5,1,6,2,4,8,3,7]=>0000000=>8
[4,7,6,5,2,1,3,8]=>0000001=>7
[4,7,6,5,2,8,1,3]=>0000000=>8
[4,7,6,5,1,8,3,2]=>0000000=>8
[1,7,6,5,2,8,3,4]=>1000000=>1
[1,7,6,5,3,2,8,4]=>1000000=>1
[4,7,6,5,1,2,8,3]=>0000000=>8
[4,7,6,5,3,1,8,2]=>0000000=>8
[6,1,3,5,4,8,7,2]=>0000000=>8
[5,2,6,3,4,1,7,8]=>0000011=>6
[5,1,6,2,4,7,8,3]=>0000000=>8
[1,2,6,3,4,8,7,5]=>1100000=>1
[1,7,2,4,8,3,6,5]=>1000000=>1
[6,1,4,2,8,3,5,7]=>0000000=>8
[4,1,8,2,6,3,5,7]=>0000000=>8
[4,7,2,1,5,3,6,8]=>0000001=>7
[4,7,1,6,2,3,8,5]=>0000000=>8
[1,7,2,6,8,3,5,4]=>1000000=>1
[1,2,6,7,4,8,5,3]=>1100000=>1
[3,1,6,7,4,2,8,5]=>0000000=>8
[3,2,8,5,4,6,1,7]=>0000000=>8
[4,7,6,3,5,8,1,2]=>0000000=>8
[4,7,1,2,5,3,8,6]=>0000000=>8
[3,7,6,5,2,4,1,8]=>0000001=>7
[3,7,6,5,1,4,8,2]=>0000000=>8
[3,7,6,5,2,1,8,4]=>0000000=>8
[1,7,6,5,8,2,4,3]=>1000000=>1
[3,7,6,5,8,1,4,2]=>0000000=>8
[3,7,6,5,1,2,4,8]=>0000001=>7
[3,1,6,8,4,2,5,7]=>0000000=>8
[4,7,6,8,3,5,1,2]=>0000000=>8
[2,7,6,5,1,4,3,8]=>0000001=>7
[2,7,6,5,8,1,3,4]=>0000000=>8
[2,7,6,5,8,4,1,3]=>0000000=>8
[6,3,2,1,7,4,8,5]=>0000000=>8
[4,2,1,7,3,5,8,6]=>0000000=>8
[7,3,1,5,4,2,8,6]=>0000000=>8
[8,4,1,5,2,7,6,3]=>0000000=>8
[4,3,7,2,1,5,8,6]=>0000000=>8
[2,7,5,4,1,3,8,6]=>0000000=>8
[7,5,4,3,2,1,8,6]=>0000000=>8
[6,5,2,1,8,4,3,7]=>0000000=>8
[5,7,4,3,2,8,1,6]=>0000000=>8
[1,7,6,2,4,8,3,5]=>1000000=>1
[6,2,7,5,3,8,1,4]=>0000000=>8
[7,1,8,5,3,6,4,2]=>0000000=>8
[5,8,3,2,7,1,6,4]=>0000000=>8
[8,7,3,1,6,5,4,2]=>0000000=>8
[8,7,2,6,1,5,4,3]=>0000000=>8
[1,8,5,7,4,3,6,2]=>1000000=>1
[1,8,5,7,2,4,6,3]=>1000000=>1
[3,8,6,1,7,2,5,4]=>0000000=>8
[7,2,8,5,6,1,4,3]=>0000000=>8
[6,3,7,5,8,2,1,4]=>0000000=>8
[3,6,5,8,1,4,2,7]=>0000000=>8
[2,6,5,8,4,1,3,7]=>0000000=>8
[6,5,4,8,3,2,1,7]=>0000000=>8
[6,3,5,1,8,4,2,7]=>0000000=>8
[8,4,1,5,7,3,6,2]=>0000000=>8
[5,4,1,6,8,2,3,7]=>0000000=>8
[6,3,7,4,8,5,2,1]=>0000000=>8
[6,4,7,8,1,5,3,2]=>0000000=>8
[6,3,7,8,5,2,4,1]=>0000000=>8
[2,5,8,7,1,3,6,4]=>0000000=>8
[5,3,8,7,2,1,6,4]=>0000000=>8
[8,3,7,6,1,5,4,2]=>0000000=>8
[8,2,7,6,5,1,4,3]=>0000000=>8
[4,3,8,7,6,2,1,5]=>0000000=>8
[2,4,8,7,6,1,3,5]=>0000000=>8
[4,7,3,8,6,5,1,2]=>0000000=>8
[7,5,8,6,4,3,2,1]=>0000000=>8
[5,8,7,3,6,4,2,1]=>0000000=>8
[4,8,7,6,2,5,3,1]=>0000000=>8
[3,8,7,6,5,1,4,2]=>0000000=>8
[2,8,7,6,5,4,1,3]=>0000000=>8
[3,4,1,2,5,6,7,8,9]=>00011111=>4
[3,2,1,4,5,6,7,8,9]=>00111111=>3
[4,5,6,1,2,3,7,8,9]=>00000111=>6
[4,2,5,1,3,6,7,8,9]=>00001111=>5
[4,3,2,1,5,6,7,8,9]=>00011111=>4
[5,6,7,8,1,2,3,4,9]=>00000001=>8
[5,2,6,7,1,3,4,8,9]=>00000011=>7
[5,6,3,4,1,2,7,8,9]=>00000111=>6
[5,3,2,6,1,4,7,8,9]=>00000111=>6
[5,4,3,2,1,6,7,8,9]=>00001111=>5
[6,2,7,8,9,1,3,4,5]=>00000000=>9
[6,7,3,4,8,1,2,5,9]=>00000001=>8
[6,3,2,7,8,1,4,5,9]=>00000001=>8
[6,4,7,2,5,1,3,8,9]=>00000011=>7
[6,4,3,2,7,1,5,8,9]=>00000011=>7
[6,5,4,3,2,1,7,8,9]=>00000111=>6
[7,4,8,2,5,9,1,3,6]=>00000000=>9
[7,4,3,2,8,9,1,5,6]=>00000000=>9
[7,8,5,6,3,4,1,2,9]=>00000001=>8
[7,5,3,8,2,6,1,4,9]=>00000001=>8
[7,5,4,3,2,8,1,6,9]=>00000001=>8
[7,6,5,4,3,2,1,8,9]=>00000011=>7
[8,6,9,4,7,2,5,1,3]=>00000000=>9
[8,6,4,3,9,2,7,1,5]=>00000000=>9
[8,6,5,4,3,2,9,1,7]=>00000000=>9
[3,4,1,2,5,6,7,8,9,10]=>000111111=>4
[3,2,1,4,5,6,7,8,9,10]=>001111111=>3
[4,5,6,1,2,3,7,8,9,10]=>000001111=>6
[4,2,5,1,3,6,7,8,9,10]=>000011111=>5
[4,3,2,1,5,6,7,8,9,10]=>000111111=>4
[5,6,7,8,1,2,3,4,9,10]=>000000011=>8
[5,2,6,7,1,3,4,8,9,10]=>000000111=>7
[5,6,3,4,1,2,7,8,9,10]=>000001111=>6
[5,3,2,6,1,4,7,8,9,10]=>000001111=>6
[5,4,3,2,1,6,7,8,9,10]=>000011111=>5
[6,2,7,8,9,1,3,4,5,10]=>000000001=>9
[6,7,3,4,8,1,2,5,9,10]=>000000011=>8
[6,3,2,7,8,1,4,5,9,10]=>000000011=>8
[6,4,7,2,5,1,3,8,9,10]=>000000111=>7
[6,4,3,2,7,1,5,8,9,10]=>000000111=>7
[6,5,4,3,2,1,7,8,9,10]=>000001111=>6
[7,8,3,4,9,10,1,2,5,6]=>000000000=>10
[7,8,9,4,5,6,1,2,3,10]=>000000001=>9
[7,4,3,2,8,9,1,5,6,10]=>000000001=>9
[7,8,5,6,3,4,1,2,9,10]=>000000011=>8
[7,5,3,8,2,6,1,4,9,10]=>000000011=>8
[7,5,4,3,2,8,1,6,9,10]=>000000011=>8
[7,6,5,4,3,2,1,8,9,10]=>000000111=>7
[8,5,9,10,2,6,7,1,3,4]=>000000000=>10
[8,5,3,9,2,6,10,1,4,7]=>000000000=>10
[8,6,9,4,7,2,5,1,3,10]=>000000001=>9
[8,6,4,3,9,2,7,1,5,10]=>000000001=>9
[8,6,5,4,3,2,9,1,7,10]=>000000001=>9
[8,7,6,5,4,3,2,1,9,10]=>000000011=>8
[9,7,5,4,3,10,2,8,1,6]=>000000000=>10
[3,6,5,1,2,4,8,7]=>0000010=>6
[3,7,5,8,2,4,1,6]=>0000000=>8
[3,8,5,7,2,4,1,6]=>0000000=>8
[5,1,7,8,4,3,2,6]=>0000000=>8
[4,7,1,8,3,6,2,5]=>0000000=>8
[7,5,3,8,1,4,2,6]=>0000000=>8
[2,1,5,8,7,3,4,6]=>0100000=>2
[6,1,2,3,7,5,8,4]=>0000000=>8
[7,1,2,3,8,6,5,4]=>0000000=>8
[7,1,2,3,5,8,6,4]=>0000000=>8
[6,8,1,4,3,7,2,5]=>0000000=>8
[8,7,3,2,4,1,6,5]=>0000000=>8
[2,1,7,3,4,8,6,5]=>0100000=>2
[7,8,3,2,4,1,6,5]=>0000000=>8
[7,1,2,3,6,8,5,4]=>0000000=>8
[7,1,2,3,8,5,6,4]=>0000000=>8
[8,1,2,3,6,5,7,4]=>0000000=>8
[6,7,2,8,3,4,1,5]=>0000000=>8
[3,8,7,1,4,2,6,5]=>0000000=>8
[7,6,2,8,3,1,4,5]=>0000000=>8
[5,8,3,7,1,4,2,6]=>0000000=>8
[7,1,2,3,5,6,8,4]=>0000000=>8
[5,1,2,3,7,8,6,4]=>0000000=>8
[5,1,2,3,8,6,7,4]=>0000000=>8
[2,1,6,3,4,8,7,5]=>0100000=>2
[8,6,3,2,4,7,1,5]=>0000000=>8
[6,1,2,3,5,7,8,4]=>0000000=>8
[5,1,2,3,6,8,7,4]=>0000000=>8
[7,8,1,2,6,3,5,4]=>0000000=>8
[1,4,8,2,7,3,5,6]=>1000000=>1
[1,2,8,5,4,7,3,6]=>1100000=>1
[1,3,8,5,4,2,7,6]=>1000000=>1
[2,3,6,8,4,7,1,5]=>0000000=>8
[1,3,6,8,4,7,5,2]=>1000000=>1
[2,4,8,1,7,3,6,5]=>0000000=>8
[3,4,8,5,7,6,1,2]=>0000000=>8
[1,2,6,8,4,5,7,3]=>1100000=>1
[7,5,1,2,4,3,6,8]=>0000001=>7
[7,4,6,1,5,2,3,8]=>0000001=>7
[7,1,4,2,6,3,5,8]=>0000001=>7
[6,8,1,4,7,2,3,5]=>0000000=>8
[1,6,4,2,8,3,5,7]=>1000000=>1
[1,6,3,8,5,4,2,7]=>1000000=>1
[6,8,1,7,3,5,4,2]=>0000000=>8
[7,1,3,6,5,4,2,8]=>0000001=>7
[7,3,1,6,5,4,2,8]=>0000001=>7
[7,2,1,4,6,3,5,8]=>0000001=>7
[7,2,3,6,5,1,4,8]=>0000001=>7
[7,1,2,3,6,5,4,8]=>0000001=>7
[6,8,1,2,7,3,5,4]=>0000000=>8
[1,6,2,3,8,5,4,7]=>1000000=>1
[1,5,8,2,7,6,3,4]=>1000000=>1
[5,1,8,2,7,6,3,4]=>0000000=>8
[5,8,2,7,6,3,4,1]=>0000000=>8
[6,2,8,1,7,3,5,4]=>0000000=>8
[6,8,2,1,7,4,3,5]=>0000000=>8
[3,6,4,1,2,8,5,7]=>0000000=>8
[2,1,6,3,8,5,4,7]=>0100000=>2
[2,5,1,8,7,6,3,4]=>0000000=>8
[2,5,3,8,7,4,6,1]=>0000000=>8
[1,2,5,3,8,7,4,6]=>1100000=>1
[2,4,8,7,6,5,1,3]=>0000000=>8
[2,5,3,8,7,1,6,4]=>0000000=>8
[2,5,8,4,1,7,6,3]=>0000000=>8
[3,5,8,7,1,4,2,6]=>0000000=>8
[5,3,8,4,1,7,6,2]=>0000000=>8
[4,2,8,7,6,3,5,1]=>0000000=>8
[4,2,8,7,6,5,3,1]=>0000000=>8
[4,1,8,7,6,5,3,2]=>0000000=>8
[4,3,8,7,6,5,1,2]=>0000000=>8
[6,3,1,8,7,2,5,4]=>0000000=>8
[5,8,3,7,6,1,4,2]=>0000000=>8
[5,1,3,8,7,6,2,4]=>0000000=>8
[1,5,3,8,7,6,2,4]=>1000000=>1
[1,5,8,4,7,2,6,3]=>1000000=>1
[5,1,8,4,7,2,6,3]=>0000000=>8
[5,8,7,4,6,1,2,3]=>0000000=>8
[6,8,5,1,2,4,7,3]=>0000000=>8
[5,6,3,1,2,4,8,7]=>0000010=>6
[5,6,2,4,3,1,8,7]=>0000010=>6
[5,6,1,2,4,3,8,7]=>0000010=>6
[4,5,8,1,7,2,3,6]=>0000000=>8
[4,5,8,1,7,2,6,3]=>0000000=>8
[1,3,2,5,8,7,4,6]=>1010000=>1
[3,5,1,8,7,4,6,2]=>0000000=>8
[3,5,1,8,7,2,6,4]=>0000000=>8
[4,3,6,1,2,8,5,7]=>0000000=>8
[4,5,8,3,1,7,2,6]=>0000000=>8
[4,5,2,8,7,1,3,6]=>0000000=>8
[3,2,5,8,7,1,6,4]=>0000000=>8
[3,4,8,7,6,2,1,5]=>0000000=>8
[3,1,4,8,7,6,2,5]=>0000000=>8
[3,4,8,7,6,5,1,2]=>0000000=>8
[1,3,4,8,7,6,2,5]=>1000000=>1
[3,4,8,7,6,2,5,1]=>0000000=>8
[3,2,5,8,7,4,6,1]=>0000000=>8
[4,5,8,3,1,7,6,2]=>0000000=>8
[2,1,3,5,8,7,4,6]=>0110000=>2
[1,2,7,5,8,6,4,3]=>1100000=>1
[7,1,4,8,2,6,5,3]=>0000000=>8
[6,8,1,3,7,5,2,4]=>0000000=>8
[3,7,8,1,2,6,5,4]=>0000000=>8
[1,3,7,8,2,6,5,4]=>1000000=>1
[2,3,7,8,1,6,5,4]=>0000000=>8
[2,7,8,1,3,6,5,4]=>0000000=>8
[8,1,2,6,7,3,5,4]=>0000000=>8
[8,1,2,6,7,5,3,4]=>0000000=>8
[8,2,5,7,1,3,6,4]=>0000000=>8
[2,8,1,6,7,3,5,4]=>0000000=>8
[2,6,8,3,7,1,5,4]=>0000000=>8
[2,8,6,4,7,1,5,3]=>0000000=>8
[6,8,3,4,1,7,5,2]=>0000000=>8
[6,8,3,7,4,1,5,2]=>0000000=>8
[2,6,8,3,7,5,1,4]=>0000000=>8
[2,8,1,6,7,5,3,4]=>0000000=>8
[8,2,5,7,1,6,3,4]=>0000000=>8
[8,4,7,2,3,6,1,5]=>0000000=>8
[8,5,7,4,2,6,1,3]=>0000000=>8
[8,3,5,7,4,1,6,2]=>0000000=>8
[8,5,2,4,7,1,6,3]=>0000000=>8
[8,2,3,5,7,1,6,4]=>0000000=>8
[8,2,4,7,3,6,1,5]=>0000000=>8
[8,2,7,1,4,6,3,5]=>0000000=>8
[8,7,1,2,4,6,3,5]=>0000000=>8
[8,7,1,4,6,2,3,5]=>0000000=>8
[8,4,7,1,3,6,2,5]=>0000000=>8
[1,6,8,3,7,2,5,4]=>1000000=>1
[8,3,5,7,1,2,6,4]=>0000000=>8
[5,8,7,1,3,6,2,4]=>0000000=>8
[8,5,4,7,1,6,2,3]=>0000000=>8
[8,5,4,7,1,2,6,3]=>0000000=>8
[8,5,1,4,7,2,6,3]=>0000000=>8
[1,4,6,8,2,7,5,3]=>1000000=>1
[1,6,5,8,2,7,4,3]=>1000000=>1
[8,5,6,3,1,7,4,2]=>0000000=>8
[5,6,2,8,1,7,4,3]=>0000000=>8
[1,8,4,5,7,2,6,3]=>1000000=>1
[5,8,7,3,6,1,2,4]=>0000000=>8
[8,3,5,7,1,6,2,4]=>0000000=>8
[1,6,8,3,7,5,2,4]=>1000000=>1
[6,3,8,2,7,5,1,4]=>0000000=>8
[6,8,4,2,7,1,5,3]=>0000000=>8
[8,6,4,7,3,1,5,2]=>0000000=>8
[8,4,5,7,3,1,6,2]=>0000000=>8
[8,4,2,5,7,1,6,3]=>0000000=>8
[8,3,4,7,2,6,1,5]=>0000000=>8
[8,7,1,3,4,6,2,5]=>0000000=>8
[8,3,7,2,4,6,1,5]=>0000000=>8
[2,8,4,5,7,1,6,3]=>0000000=>8
[8,7,3,4,5,1,6,2]=>0000000=>8
[8,7,4,5,2,6,1,3]=>0000000=>8
[5,8,7,2,3,6,1,4]=>0000000=>8
[8,7,2,3,4,6,1,5]=>0000000=>8
[8,7,2,3,6,1,4,5]=>0000000=>8
[1,3,2,8,5,4,7,6]=>1010000=>1
[4,2,8,5,3,7,1,6]=>0000000=>8
[5,2,1,8,4,3,7,6]=>0000000=>8
[6,2,8,4,3,7,5,1]=>0000000=>8
[7,2,8,4,3,1,6,5]=>0000000=>8
[7,3,4,8,2,1,6,5]=>0000000=>8
[6,3,4,8,2,7,5,1]=>0000000=>8
[5,3,4,1,8,2,7,6]=>0000000=>8
[8,1,4,5,2,3,7,6]=>0000000=>8
[8,1,5,4,3,2,7,6]=>0000000=>8
[3,5,4,2,8,1,7,6]=>0000000=>8
[4,5,3,2,8,7,1,6]=>0000000=>8
[6,4,3,2,8,7,5,1]=>0000000=>8
[6,5,3,2,1,7,8,4]=>0000000=>8
[5,6,3,2,7,8,4,1]=>0000000=>8
[4,1,6,3,2,7,8,5]=>0000000=>8
[3,6,4,2,7,8,1,5]=>0000000=>8
[8,1,6,4,3,7,2,5]=>0000000=>8
[8,1,7,4,3,6,5,2]=>0000000=>8
[2,7,4,1,3,6,5,8]=>0000001=>7
[3,7,4,2,6,1,5,8]=>0000001=>7
[4,1,7,3,2,6,5,8]=>0000001=>7
[5,7,3,2,6,4,8,1]=>0000000=>8
[6,7,3,2,5,4,1,8]=>0000001=>7
[7,6,3,2,1,5,4,8]=>0000001=>7
[4,7,5,6,2,3,8,1]=>0000000=>8
[3,1,7,5,6,2,4,8]=>0000001=>7
[2,7,5,6,1,3,4,8]=>0000001=>7
[2,6,5,7,1,3,8,4]=>0000000=>8
[4,6,5,7,2,8,1,3]=>0000000=>8
[5,6,4,7,2,8,3,1]=>0000000=>8
[6,5,4,1,7,2,8,3]=>0000000=>8
[7,5,4,6,2,1,8,3]=>0000000=>8
[6,4,5,7,1,8,2,3]=>0000000=>8
[5,4,6,1,7,8,2,3]=>0000000=>8
[8,1,5,6,7,2,3,4]=>0000000=>8
[2,1,4,6,8,7,3,5]=>0100000=>2
[3,4,6,8,7,1,2,5]=>0000000=>8
[4,3,1,6,8,7,2,5]=>0000000=>8
[5,3,6,8,7,2,4,1]=>0000000=>8
[6,3,5,1,8,7,2,4]=>0000000=>8
[7,3,5,8,6,2,1,4]=>0000000=>8
[7,2,8,5,6,3,1,4]=>0000000=>8
[6,2,8,5,1,7,3,4]=>0000000=>8
[4,2,1,8,6,7,3,5]=>0000000=>8
[1,3,2,8,6,7,4,5]=>1010000=>1
[2,3,8,6,7,1,4,5]=>0000000=>8
[8,1,3,2,6,7,4,5]=>0000000=>8
[2,3,8,7,1,6,5,4]=>0000000=>8
[4,2,8,7,6,1,5,3]=>0000000=>8
[5,2,8,7,6,4,1,3]=>0000000=>8
[7,2,1,8,6,5,4,3]=>0000000=>8
[7,3,6,1,8,5,4,2]=>0000000=>8
[6,3,7,8,5,4,2,1]=>0000000=>8
[5,3,7,8,6,4,1,2]=>0000000=>8
[4,3,1,7,8,6,5,2]=>0000000=>8
[3,4,7,8,6,1,5,2]=>0000000=>8
[8,1,5,7,6,2,4,3]=>0000000=>8
[3,5,7,6,8,1,4,2]=>0000000=>8
[4,5,7,6,8,3,1,2]=>0000000=>8
[5,4,1,7,6,8,3,2]=>0000000=>8
[6,4,7,5,8,3,2,1]=>0000000=>8
[7,4,6,5,1,8,3,2]=>0000000=>8
[7,5,6,4,3,1,8,2]=>0000000=>8
[6,5,1,7,4,3,8,2]=>0000000=>8
[4,6,7,5,3,8,1,2]=>0000000=>8
[3,6,7,5,1,4,8,2]=>0000000=>8
[8,1,6,7,5,4,2,3]=>0000000=>8
[8,1,7,6,5,4,3,2]=>0000000=>8
[2,7,6,1,5,4,3,8]=>0000001=>7
[3,7,6,5,1,4,2,8]=>0000001=>7
[4,7,6,5,3,1,2,8]=>0000001=>7
[8,6,4,3,1,5,7,2]=>0000000=>8
[8,6,4,1,5,2,7,3]=>0000000=>8
[8,6,5,1,3,2,7,4]=>0000000=>8
[8,6,3,1,7,2,4,5]=>0000000=>8
[8,7,3,1,5,2,4,6]=>0000000=>8
[5,3,1,7,2,4,6,8]=>0000001=>7
[8,7,1,2,4,5,3,6]=>0000000=>8
[8,6,1,2,4,7,3,5]=>0000000=>8
[8,5,1,2,6,7,3,4]=>0000000=>8
[8,5,1,6,4,2,7,3]=>0000000=>8
[8,5,1,3,6,4,7,2]=>0000000=>8
[8,6,1,5,3,4,7,2]=>0000000=>8
[8,6,1,5,2,4,7,3]=>0000000=>8
[8,6,1,2,5,7,3,4]=>0000000=>8
[8,6,1,2,7,4,3,5]=>0000000=>8
[8,7,1,2,5,4,3,6]=>0000000=>8
[5,1,4,2,3,8,6,7]=>0000100=>5
[5,1,4,2,7,3,6,8]=>0000001=>7
[7,1,5,8,2,6,3,4]=>0000000=>8
[5,7,8,1,2,4,6,3]=>0000000=>8
[5,7,8,1,3,4,6,2]=>0000000=>8
[5,8,1,7,3,4,6,2]=>0000000=>8
[8,1,5,7,2,4,6,3]=>0000000=>8
[8,4,1,2,7,6,3,5]=>0000000=>8
[1,4,2,3,8,7,5,6]=>1001000=>1
[1,4,2,7,6,3,5,8]=>1000001=>1
[6,1,2,8,7,5,3,4]=>0000000=>8
[6,1,2,4,8,7,5,3]=>0000000=>8
[3,1,8,4,6,7,5,2]=>0000000=>8
[3,1,7,6,4,8,5,2]=>0000000=>8
[7,1,2,4,6,8,5,3]=>0000000=>8
[7,1,2,6,8,5,3,4]=>0000000=>8
[6,1,2,7,8,5,3,4]=>0000000=>8
[6,1,2,7,4,8,5,3]=>0000000=>8
[3,1,6,4,7,8,5,2]=>0000000=>8
[5,7,1,3,8,4,6,2]=>0000000=>8
[5,7,1,8,4,2,6,3]=>0000000=>8
[7,1,5,3,2,8,6,4]=>0000000=>8
[7,1,4,5,2,8,6,3]=>0000000=>8
[4,7,3,1,5,8,6,2]=>0000000=>8
[4,8,7,3,1,5,6,2]=>0000000=>8
[8,1,7,4,5,2,6,3]=>0000000=>8
[8,1,7,5,3,2,6,4]=>0000000=>8
[8,3,7,1,2,6,4,5]=>0000000=>8
[3,1,2,8,4,7,5,6]=>0010000=>3
[3,1,2,8,6,4,5,7]=>0010000=>3
[3,1,7,2,6,4,5,8]=>0000001=>7
[1,4,2,3,8,6,5,7]=>1001000=>1
[1,4,2,3,8,5,7,6]=>1001000=>1
[5,8,1,7,2,4,6,3]=>0000000=>8
[5,8,1,3,4,7,6,2]=>0000000=>8
[3,1,8,6,4,7,5,2]=>0000000=>8
[8,1,2,6,7,4,5,3]=>0000000=>8
[6,1,2,8,7,3,5,4]=>0000000=>8
[1,2,3,5,8,4,7,6]=>1110000=>1
[1,2,3,5,8,6,4,7]=>1110000=>1
[7,1,2,8,3,6,5,4]=>0000000=>8
[7,1,2,8,6,4,5,3]=>0000000=>8
[3,1,7,8,4,6,5,2]=>0000000=>8
[3,1,8,7,6,4,5,2]=>0000000=>8
[8,1,2,7,4,6,5,3]=>0000000=>8
[8,1,2,7,3,6,5,4]=>0000000=>8
[1,2,3,5,8,7,4,6]=>1110000=>1
[1,2,3,6,8,5,4,7]=>1110000=>1
[7,8,5,6,3,1,4,2]=>0000000=>8
[7,5,8,3,1,4,2,6]=>0000000=>8
[7,8,5,3,1,4,2,6]=>0000000=>8
[7,8,5,3,1,6,2,4]=>0000000=>8
[7,8,5,3,1,6,4,2]=>0000000=>8
[7,8,5,3,6,1,4,2]=>0000000=>8
[7,8,5,3,6,4,1,2]=>0000000=>8
[7,5,6,3,4,1,8,2]=>0000000=>8
[7,5,6,3,1,2,8,4]=>0000000=>8
[7,5,3,6,1,2,8,4]=>0000000=>8
[7,5,3,1,4,2,6,8]=>0000001=>7
[7,5,3,1,6,4,8,2]=>0000000=>8
[7,5,3,6,4,1,8,2]=>0000000=>8
[7,5,3,8,4,6,1,2]=>0000000=>8
[7,5,3,8,1,4,6,2]=>0000000=>8
[7,5,3,1,8,4,6,2]=>0000000=>8
[7,5,3,1,8,2,6,4]=>0000000=>8
[7,5,3,1,8,6,2,4]=>0000000=>8
[7,5,3,8,1,6,4,2]=>0000000=>8
[7,5,3,8,6,1,4,2]=>0000000=>8
[7,5,3,8,6,4,1,2]=>0000000=>8
[7,5,8,3,6,4,1,2]=>0000000=>8
[7,5,8,3,6,1,4,2]=>0000000=>8
[7,5,8,3,1,6,4,2]=>0000000=>8
[7,5,3,6,1,4,2,8]=>0000001=>7
[7,5,3,8,4,1,2,6]=>0000000=>8
[7,5,8,6,3,1,2,4]=>0000000=>8
[7,5,8,6,3,1,4,2]=>0000000=>8
[7,5,8,6,3,4,1,2]=>0000000=>8
[7,5,6,8,3,1,4,2]=>0000000=>8
[7,5,6,3,8,1,2,4]=>0000000=>8
[7,5,3,4,1,8,2,6]=>0000000=>8
[7,5,6,3,1,8,4,2]=>0000000=>8
[7,5,3,6,1,8,4,2]=>0000000=>8
[7,5,3,1,6,8,2,4]=>0000000=>8
[7,5,3,4,1,6,8,2]=>0000000=>8
[7,5,3,1,4,6,8,2]=>0000000=>8
[5,4,8,3,2,7,6,1]=>0000000=>8
[2,1,5,8,4,7,6,3]=>0100000=>2
[2,1,8,6,7,5,4,3]=>0100000=>2
[8,3,2,6,7,5,4,1]=>0000000=>8
[8,4,5,3,2,7,6,1]=>0000000=>8
[8,4,7,3,6,5,2,1]=>0000000=>8
[8,4,6,3,7,5,2,1]=>0000000=>8
[3,8,2,5,4,7,6,1]=>0000000=>8
[3,7,2,8,6,5,4,1]=>0000000=>8
[3,6,2,8,7,5,4,1]=>0000000=>8
[6,4,7,3,8,5,2,1]=>0000000=>8
[7,5,4,3,2,8,6,1]=>0000000=>8
[6,8,5,7,4,3,2,1]=>0000000=>8
[2,3,1,4,5,6,7,8,9]=>00111111=>3
[2,3,4,1,5,6,7,8,9]=>00011111=>4
[2,3,4,5,1,6,7,8,9]=>00001111=>5
[2,3,4,5,6,1,7,8,9]=>00000111=>6
[2,3,1,4,5,6,7,8,9,10]=>001111111=>3
[2,4,3,1,5,6,7,8,9]=>00011111=>4
[2,3,4,1,5,6,7,8,9,10]=>000111111=>4
[2,3,4,5,1,6,7,8,9,10]=>000011111=>5
[2,3,4,5,6,1,7,8,9,10]=>000001111=>6
[2,3,4,5,6,7,1,8,9,10]=>000000111=>7
[2,3,4,5,6,7,8,1,9,10]=>000000011=>8
[2,3,4,5,6,7,9,8,1]=>00000000=>9
[4,6,8,3,5,7,1,2]=>0000000=>8
[6,8,1,2,4,5,7,3]=>0000000=>8
[3,5,8,2,4,7,1,6]=>0000000=>8
[8,3,5,2,4,1,6,7]=>0000000=>8
[4,2,5,7,3,6,1,8]=>0000001=>7
[4,5,2,8,3,1,6,7]=>0000000=>8
[4,2,5,8,3,7,1,6]=>0000000=>8
[2,1,6,8,4,7,3,5]=>0100000=>2
[1,2,5,8,3,6,7,4]=>1100000=>1
[5,3,6,8,4,7,1,2]=>0000000=>8
[1,6,5,8,2,4,7,3]=>1000000=>1
[3,1,2,6,8,5,7,4]=>0010000=>3
[1,4,3,8,2,6,7,5]=>1000000=>1
[5,4,8,3,2,1,6,7]=>0000000=>8
[5,4,3,7,2,6,1,8]=>0000001=>7
[4,3,6,2,7,5,1,8]=>0000001=>7
[4,6,3,2,1,8,5,7]=>0000000=>8
[4,1,7,3,2,5,8,6]=>0000000=>8
[4,3,1,7,8,2,6,5]=>0000000=>8
[3,5,1,2,7,8,6,4]=>0000000=>8
[7,5,1,4,8,2,6,3]=>0000000=>8
[5,4,7,3,8,6,1,2]=>0000000=>8
[5,8,4,7,6,3,1,2]=>0000000=>8
[5,8,7,1,4,2,6,3]=>0000000=>8
[8,3,5,1,2,7,6,4]=>0000000=>8
[4,8,3,1,7,2,6,5]=>0000000=>8
[1,8,4,3,5,2,7,6]=>1000000=>1
[4,6,3,1,5,2,8,7]=>0000010=>6
[4,7,3,6,5,2,1,8]=>0000001=>7
[5,3,7,6,4,2,1,8]=>0000001=>7
[1,6,3,4,2,8,7,5]=>1000000=>1
[1,8,3,6,2,7,5,4]=>1000000=>1
[1,6,8,7,4,2,5,3]=>1000000=>1
[6,4,8,7,5,3,1,2]=>0000000=>8
[7,6,4,3,8,5,1,2]=>0000000=>8
[1,7,6,2,8,4,5,3]=>1000000=>1
[7,1,3,2,6,8,5,4]=>0000000=>8
[1,5,3,2,7,4,8,6]=>1000000=>1
[6,3,2,1,8,5,4,7]=>0000000=>8
[6,5,3,2,7,4,1,8]=>0000001=>7
[5,2,6,3,7,4,1,8]=>0000001=>7
[2,8,5,3,1,6,4,7]=>0000000=>8
[2,1,7,3,8,5,4,6]=>0100000=>2
[1,6,2,3,7,8,5,4]=>1000000=>1
[1,6,7,2,8,4,5,3]=>1000000=>1
[5,7,1,8,2,4,6,3]=>0000000=>8
[5,1,2,7,8,3,6,4]=>0000000=>8
[2,4,1,7,8,6,3,5]=>0000000=>8
[4,2,1,7,3,8,5,6]=>0000000=>8
[6,2,8,4,3,1,5,7]=>0000000=>8
[7,3,2,1,8,4,5,6]=>0000000=>8
[7,8,3,2,5,6,1,4]=>0000000=>8
[7,1,8,2,4,5,6,3]=>0000000=>8
[8,7,6,1,2,4,5,3]=>0000000=>8
[8,3,7,6,2,1,4,5]=>0000000=>8
[3,2,8,7,5,1,4,6]=>0000000=>8
[8,3,6,5,2,1,4,7]=>0000000=>8
[7,6,3,5,2,4,1,8]=>0000001=>7
[7,4,6,2,5,3,1,8]=>0000001=>7
[8,2,4,1,6,5,3,7]=>0000000=>8
[4,2,8,1,7,5,3,6]=>0000000=>8
[8,2,4,1,7,6,3,5]=>0000000=>8
[8,7,1,5,6,2,4,3]=>0000000=>8
[8,5,7,3,6,4,1,2]=>0000000=>8
[6,8,3,7,5,4,1,2]=>0000000=>8
[8,1,6,7,5,2,4,3]=>0000000=>8
[8,1,2,6,4,3,7,5]=>0000000=>8
[2,8,1,7,5,4,3,6]=>0000000=>8
[2,5,1,8,6,4,3,7]=>0000000=>8
[5,7,2,6,4,3,1,8]=>0000001=>7
[6,2,7,5,4,3,1,8]=>0000001=>7
[2,1,8,6,5,4,3,7]=>0100000=>2
[1,2,7,5,4,3,8,6]=>1100000=>1
[1,7,2,4,3,8,6,5]=>1000000=>1
[1,7,2,8,3,6,5,4]=>1000000=>1
[1,7,8,6,5,2,4,3]=>1000000=>1
[7,3,8,6,5,4,1,2]=>0000000=>8
[1,8,7,6,5,2,4,3]=>1000000=>1
[8,1,7,3,2,6,5,4]=>0000000=>8
[5,1,4,3,2,8,7,6]=>0000100=>5
[8,6,5,3,2,1,7,4]=>0000000=>8
[8,6,3,2,1,7,4,5]=>0000000=>8
[8,6,5,4,1,7,2,3]=>0000000=>8
[8,6,5,1,7,3,2,4]=>0000000=>8
[8,6,1,7,4,3,2,5]=>0000000=>8
[4,6,3,2,7,5,1,8]=>0000001=>7
[1,4,3,7,2,5,8,6]=>1000000=>1
[7,4,8,3,1,6,2,5]=>0000000=>8
[7,1,5,8,3,2,6,4]=>0000000=>8
[5,7,4,1,8,2,6,3]=>0000000=>8
[5,7,4,3,1,8,6,2]=>0000000=>8
[1,8,7,2,5,4,6,3]=>1000000=>1
[1,8,5,3,7,2,6,4]=>1000000=>1
[4,3,1,8,7,5,2,6]=>0000000=>8
[1,4,8,6,3,5,2,7]=>1000000=>1
[7,4,6,3,5,2,1,8]=>0000001=>7
[1,3,5,6,8,4,2,7]=>1000000=>1
[3,5,4,8,7,1,2,6]=>0000000=>8
[3,1,4,6,8,7,2,5]=>0000000=>8
[1,6,3,8,7,2,5,4]=>1000000=>1
[1,6,2,4,8,7,5,3]=>1000000=>1
[8,4,1,6,7,5,3,2]=>0000000=>8
[7,1,6,4,8,5,2,3]=>0000000=>8
[7,3,6,8,5,1,2,4]=>0000000=>8
[1,3,7,2,6,8,4,5]=>1000000=>1
[3,6,5,2,8,1,4,7]=>0000000=>8
[3,6,5,7,2,4,1,8]=>0000001=>7
[4,2,6,3,8,1,5,7]=>0000000=>8
[4,2,6,7,3,5,1,8]=>0000001=>7
[3,6,2,4,7,5,1,8]=>0000001=>7
[3,6,2,4,1,8,5,7]=>0000000=>8
[7,3,8,2,1,6,4,5]=>0000000=>8
[7,3,5,2,1,8,6,4]=>0000000=>8
[8,7,6,4,3,1,5,2]=>0000000=>8
[8,7,6,4,1,5,2,3]=>0000000=>8
[3,8,7,2,1,4,6,5]=>0000000=>8
[3,8,2,7,1,5,4,6]=>0000000=>8
[3,6,8,2,1,5,4,7]=>0000000=>8
[2,4,8,1,6,5,3,7]=>0000000=>8
[4,2,8,1,5,7,3,6]=>0000000=>8
[8,5,7,6,1,4,2,3]=>0000000=>8
[8,6,1,7,3,5,4,2]=>0000000=>8
[8,6,1,7,5,4,2,3]=>0000000=>8
[1,6,2,8,7,3,5,4]=>1000000=>1
[1,8,2,4,6,7,3,5]=>1000000=>1
[2,8,5,4,7,1,3,6]=>0000000=>8
[2,1,5,8,6,4,3,7]=>0100000=>2
[7,2,5,6,4,3,1,8]=>0000001=>7
[1,2,5,7,8,4,3,6]=>1100000=>1
[1,2,7,4,8,6,3,5]=>1100000=>1
[1,2,7,8,3,6,5,4]=>1100000=>1
[7,1,8,6,3,5,4,2]=>0000000=>8
[1,8,7,6,3,5,2,4]=>1000000=>1
[1,8,7,4,6,3,2,5]=>1000000=>1
[7,1,5,8,3,4,6,2]=>0000000=>8
[7,1,6,4,2,3,5,8]=>0000001=>7
[8,6,2,4,7,3,5,1]=>0000000=>8
[8,6,2,4,5,7,3,1]=>0000000=>8
[2,7,1,4,5,8,3,6]=>0000000=>8
[7,1,6,4,5,2,3,8]=>0000001=>7
[7,1,4,5,6,8,2,3]=>0000000=>8
[7,1,4,6,5,8,3,2]=>0000000=>8
[7,1,2,3,8,5,4,6]=>0000000=>8
[7,1,5,4,3,8,2,6]=>0000000=>8
[7,1,3,4,2,6,8,5]=>0000000=>8
[7,1,5,4,6,2,8,3]=>0000000=>8
[7,1,5,6,4,3,8,2]=>0000000=>8
[7,1,6,5,4,3,2,8]=>0000001=>7
[8,6,2,5,4,3,7,1]=>0000000=>8
[2,5,1,7,4,3,6,8]=>0000001=>7
[2,5,1,4,7,8,6,3]=>0000000=>8
[3,5,1,4,8,6,2,7]=>0000000=>8
[3,6,2,4,7,8,1,5]=>0000000=>8
[5,6,2,4,8,7,1,3]=>0000000=>8
[6,3,8,2,4,7,1,5]=>0000000=>8
[6,5,8,7,2,3,1,4]=>0000000=>8
[6,5,7,8,2,4,1,3]=>0000000=>8
[6,3,4,2,8,5,1,7]=>0000000=>8
[3,4,7,2,5,8,1,6]=>0000000=>8
[4,6,8,1,3,5,2,7]=>0000000=>8
[4,3,8,1,2,7,5,6]=>0000000=>8
[3,6,4,1,7,2,5,8]=>0000001=>7
[2,8,3,1,5,6,4,7]=>0000000=>8
[3,8,7,1,5,4,2,6]=>0000000=>8
[4,3,1,7,6,8,2,5]=>0000000=>8
[3,4,1,7,5,6,8,2]=>0000000=>8
[3,4,1,5,7,6,2,8]=>0000001=>7
[3,7,4,1,6,2,8,5]=>0000000=>8
[8,4,7,2,5,3,6,1]=>0000000=>8
[4,7,8,1,2,3,6,5]=>0000000=>8
[2,8,6,1,5,3,7,4]=>0000000=>8
[7,6,5,1,3,8,2,4]=>0000000=>8
[7,6,5,1,3,4,8,2]=>0000000=>8
[7,2,6,4,1,3,8,5]=>0000000=>8
[6,7,5,2,1,3,8,4]=>0000000=>8
[8,4,5,3,7,2,6,1]=>0000000=>8
[4,7,5,2,8,1,6,3]=>0000000=>8
[2,6,4,3,1,5,7,8]=>0000011=>6
[7,3,8,4,1,5,2,6]=>0000000=>8
[7,2,3,4,1,6,5,8]=>0000001=>7
[4,2,8,3,6,1,5,7]=>0000000=>8
[6,8,5,7,2,1,3,4]=>0000000=>8
[4,8,5,2,7,1,3,6]=>0000000=>8
[6,3,5,2,1,7,4,8]=>0000001=>7
[6,8,5,3,1,4,2,7]=>0000000=>8
[3,6,5,4,2,8,1,7]=>0000000=>8
[1,6,4,7,2,5,3,8]=>1000001=>1
[1,6,4,8,2,5,3,7]=>1000000=>1
[1,6,5,8,2,4,3,7]=>1000000=>1
[1,6,8,2,4,3,7,5]=>1000000=>1
[1,6,2,4,3,7,8,5]=>1000000=>1
[1,5,6,2,4,7,3,8]=>1000001=>1
[1,5,6,2,4,7,8,3]=>1000000=>1
[1,5,8,2,4,7,3,6]=>1000000=>1
[1,5,7,2,4,8,3,6]=>1000000=>1
[1,6,5,7,2,4,3,8]=>1000001=>1
[1,6,7,2,4,3,8,5]=>1000000=>1
[1,5,6,7,2,4,8,3]=>1000000=>1
[1,5,8,2,4,6,7,3]=>1000000=>1
[1,5,7,2,4,6,8,3]=>1000000=>1
[1,5,7,8,3,2,4,6]=>1000000=>1
[1,5,8,3,2,4,6,7]=>1000000=>1
[1,5,6,2,4,8,3,7]=>1000000=>1
[1,7,6,2,8,3,4,5]=>1000000=>1
[1,7,3,4,2,8,6,5]=>1000000=>1
[1,6,2,4,3,8,7,5]=>1000000=>1
[1,5,6,2,4,8,7,3]=>1000000=>1
[1,5,8,7,3,2,4,6]=>1000000=>1
[1,4,2,3,5,8,7,6]=>1001100=>1
[1,5,2,3,4,8,7,6]=>1000100=>1
[1,6,5,2,3,8,7,4]=>1000000=>1
[1,7,4,2,8,6,5,3]=>1000000=>1
[1,7,6,5,2,8,4,3]=>1000000=>1
[1,6,7,5,2,3,8,4]=>1000000=>1
[1,7,5,2,8,4,3,6]=>1000000=>1
[1,7,5,6,2,8,3,4]=>1000000=>1
[1,5,7,6,2,4,8,3]=>1000000=>1
[1,5,8,3,2,4,7,6]=>1000000=>1
[1,6,5,2,3,7,4,8]=>1000001=>1
[1,6,5,2,3,7,8,4]=>1000000=>1
[1,6,8,4,2,3,7,5]=>1000000=>1
[1,7,4,6,2,8,3,5]=>1000000=>1
[1,7,3,5,2,8,4,6]=>1000000=>1
[1,6,8,5,2,3,7,4]=>1000000=>1
[1,6,4,2,3,7,8,5]=>1000000=>1
[1,6,4,2,3,7,5,8]=>1000001=>1
[1,5,8,6,2,4,7,3]=>1000000=>1
[1,5,7,3,2,4,8,6]=>1000000=>1
[1,7,3,4,2,8,5,6]=>1000000=>1
[1,7,4,2,8,5,3,6]=>1000000=>1
[1,6,7,4,2,3,8,5]=>1000000=>1
[1,6,4,2,3,8,5,7]=>1000000=>1
[1,7,6,4,2,8,5,3]=>1000000=>1
[1,7,5,2,8,6,4,3]=>1000000=>1
[1,6,4,2,3,8,7,5]=>1000000=>1
[7,3,5,6,1,4,8,2]=>0000000=>8
[3,7,5,6,1,4,8,2]=>0000000=>8
[8,2,4,1,6,7,5,3]=>0000000=>8
[8,6,1,4,2,7,5,3]=>0000000=>8
[3,6,1,4,2,8,5,7]=>0000000=>8
[1,6,7,4,3,5,8,2]=>1000000=>1
[6,7,1,4,3,5,8,2]=>0000000=>8
[7,6,1,4,3,5,8,2]=>0000000=>8
[3,5,4,1,6,7,8,2]=>0000000=>8
[4,7,1,6,3,5,8,2]=>0000000=>8
[3,1,4,7,6,5,8,2]=>0000000=>8
[6,1,7,4,3,5,8,2]=>0000000=>8
[7,1,6,4,3,5,8,2]=>0000000=>8
[1,7,6,4,3,5,8,2]=>1000000=>1
[8,1,6,4,2,7,5,3]=>0000000=>8
[8,4,1,3,7,2,5,6]=>0000000=>8
[4,7,1,3,8,2,5,6]=>0000000=>8
[7,4,1,3,8,2,5,6]=>0000000=>8
[1,3,6,4,2,8,5,7]=>1000000=>1
[4,7,3,1,2,8,5,6]=>0000000=>8
[4,7,8,1,2,6,5,3]=>0000000=>8
[6,8,1,4,2,7,5,3]=>0000000=>8
[1,8,6,4,2,7,5,3]=>1000000=>1
[4,8,1,3,7,2,5,6]=>0000000=>8
[8,7,1,3,6,2,5,4]=>0000000=>8
[6,8,5,7,3,2,1,4]=>0000000=>8
[1,8,4,3,7,2,5,6]=>1000000=>1
[2,8,3,4,7,6,1,5]=>0000000=>8
[3,7,8,4,6,2,1,5]=>0000000=>8
[3,7,4,6,8,2,1,5]=>0000000=>8
[2,4,3,7,8,6,1,5]=>0000000=>8
[1,4,7,3,8,2,5,6]=>1000000=>1
[5,7,6,8,3,2,1,4]=>0000000=>8
[2,5,3,4,8,6,1,7]=>0000000=>8
[3,7,5,4,8,2,1,6]=>0000000=>8
[7,1,3,4,2,8,5,6]=>0000000=>8
[6,1,4,3,8,2,5,7]=>0000000=>8
[4,1,7,3,8,2,5,6]=>0000000=>8
[8,1,4,3,7,2,5,6]=>0000000=>8
[8,2,3,4,7,6,1,5]=>0000000=>8
[4,2,3,7,8,6,1,5]=>0000000=>8
[5,2,3,4,8,6,1,7]=>0000000=>8
[2,7,5,6,3,8,1,4]=>0000000=>8
[5,7,2,6,3,8,1,4]=>0000000=>8
[5,7,2,6,8,4,1,3]=>0000000=>8
[7,2,5,6,8,4,1,3]=>0000000=>8
[4,2,3,8,5,6,1,7]=>0000000=>8
[5,2,3,8,7,6,1,4]=>0000000=>8
[8,2,3,7,5,6,1,4]=>0000000=>8
[6,1,8,3,7,2,5,4]=>0000000=>8
[1,7,8,4,2,6,5,3]=>1000000=>1
[4,7,1,8,2,5,6,3]=>0000000=>8
[3,7,4,8,5,2,1,6]=>0000000=>8
[2,4,3,8,5,6,1,7]=>0000000=>8
[1,4,8,3,6,2,5,7]=>1000000=>1
[7,5,8,6,3,2,1,4]=>0000000=>8
[6,5,8,7,3,2,1,4]=>0000000=>8
[8,5,7,6,3,2,1,4]=>0000000=>8
[2,5,3,8,7,6,1,4]=>0000000=>8
[3,7,5,8,6,2,1,4]=>0000000=>8
[3,7,8,6,5,2,1,4]=>0000000=>8
[1,8,7,3,6,2,5,4]=>1000000=>1
[6,8,7,5,3,2,1,4]=>0000000=>8
[5,7,6,8,3,4,1,2]=>0000000=>8
[3,7,6,8,4,5,1,2]=>0000000=>8
[1,5,4,7,6,8,2,3]=>1000000=>1
[1,7,4,6,5,8,2,3]=>1000000=>1
[3,7,4,6,5,8,1,2]=>0000000=>8
[3,5,4,8,6,7,1,2]=>0000000=>8
[3,8,4,6,5,7,1,2]=>0000000=>8
[3,6,4,7,5,8,1,2]=>0000000=>8
[1,6,2,7,5,8,3,4]=>1000000=>1
[1,6,4,8,5,7,2,3]=>1000000=>1
[1,8,4,6,5,7,2,3]=>1000000=>1
[1,5,4,8,6,7,2,3]=>1000000=>1
[7,8,1,5,4,6,2,3]=>0000000=>8
[7,8,1,5,2,4,3,6]=>0000000=>8
[1,8,2,6,5,7,3,4]=>1000000=>1
[1,7,2,8,5,6,3,4]=>1000000=>1
[1,7,2,6,5,8,3,4]=>1000000=>1
[1,5,2,7,6,8,3,4]=>1000000=>1
[1,7,6,8,2,5,3,4]=>1000000=>1
[1,7,6,8,4,5,2,3]=>1000000=>1
[5,7,6,8,1,4,2,3]=>0000000=>8
[7,8,5,6,1,3,2,4]=>0000000=>8
[5,8,6,7,1,3,2,4]=>0000000=>8
[1,3,2,7,6,8,4,5]=>1010000=>1
[1,7,6,8,2,4,3,5]=>1000000=>1
[7,8,1,3,2,6,4,5]=>0000000=>8
[7,8,1,6,2,4,3,5]=>0000000=>8
[1,8,6,7,2,4,3,5]=>1000000=>1
[7,8,1,4,2,6,3,5]=>0000000=>8
[7,8,1,4,2,5,3,6]=>0000000=>8
[7,8,2,1,4,3,6,5]=>0000000=>8
[7,8,1,2,4,3,5,6]=>0000000=>8
[4,3,6,5,8,7,1,2]=>0000000=>8
[3,4,6,5,7,8,1,2]=>0000000=>8
[3,4,1,5,6,7,8,9,2]=>00000000=>9
[3,4,5,1,6,7,8,9,2]=>00000000=>9
[3,4,5,6,1,7,8,9,2]=>00000000=>9
[3,4,5,6,7,1,8,9,2]=>00000000=>9
[3,4,5,6,7,8,1,9,2]=>00000000=>9
[3,1,2,5,6,7,8,9,4]=>00100000=>3
[3,4,1,5,6,7,8,9,10,2]=>000000000=>10
[3,4,1,2,6,7,8,9,5]=>00010000=>4
[3,4,5,1,6,7,8,9,10,2]=>000000000=>10
[3,4,5,1,2,7,8,9,6]=>00001000=>5
[3,4,5,6,1,7,8,9,10,2]=>000000000=>10
[3,4,5,6,1,2,8,9,7]=>00000100=>6
[3,4,5,6,7,1,8,9,10,2]=>000000000=>10
[3,4,5,6,7,1,2,9,8]=>00000010=>7
[3,4,5,6,7,8,1,9,10,2]=>000000000=>10
[3,4,5,6,7,8,1,2,9]=>00000001=>8
[3,4,5,6,7,8,9,1,10,2]=>000000000=>10
[1,6,2,3,8,7,4,5]=>1000000=>1
[1,7,4,3,2,8,6,5]=>1000000=>1
[1,4,7,6,2,5,8,3]=>1000000=>1
[1,2,6,5,3,7,4,8]=>1100001=>1
[1,2,6,5,3,7,8,4]=>1100000=>1
[1,3,7,5,2,6,8,4]=>1000000=>1
[1,3,7,4,2,6,8,5]=>1000000=>1
[1,2,6,4,3,7,8,5]=>1100000=>1
[1,2,6,4,3,7,5,8]=>1100001=>1
[1,4,7,3,2,5,8,6]=>1000000=>1
[1,4,3,2,5,8,6,7]=>1001100=>1
[1,5,3,2,4,8,6,7]=>1000100=>1
[1,7,5,3,2,8,6,4]=>1000000=>1
[1,5,3,2,4,8,7,6]=>1000100=>1
[7,6,5,4,3,1,8,2]=>0000000=>8
[6,8,5,4,3,2,1,7]=>0000000=>8
[8,7,6,5,4,3,1,9,2]=>00000000=>9
[7,9,6,5,4,3,2,1,8]=>00000000=>9
[9,8,7,6,5,4,3,1,10,2]=>000000000=>10
[1,7,6,5,4,3,9,8,2]=>10000000=>1
[7,1,5,4,3,8,6,2]=>0000000=>8
[3,6,5,4,8,1,7,2]=>0000000=>8
[6,8,1,4,3,2,7,5]=>0000000=>8
[2,8,5,4,3,7,1,6]=>0000000=>8
[1,9,6,5,4,3,2,8,7]=>10000000=>1
[8,10,7,6,5,4,3,2,1,9]=>000000000=>10
[10,9,8,7,6,5,4,3,1,11,2]=>0000000000=>11
[1,8,7,6,5,4,3,10,9,2]=>100000000=>1
[8,1,6,5,4,3,9,7,2]=>00000000=>9
[3,7,6,5,4,9,1,8,2]=>00000000=>9
[7,6,1,4,3,8,5,2]=>0000000=>8
[4,6,5,8,3,1,7,2]=>0000000=>8
[6,8,5,1,3,2,7,4]=>0000000=>8
[1,8,2,4,3,7,6,5]=>1000000=>1
[7,9,1,5,4,3,2,8,6]=>00000000=>9
[3,8,5,4,7,2,1,6]=>0000000=>8
[2,9,6,5,4,3,8,1,7]=>00000000=>9
[1,10,7,6,5,4,3,2,9,8]=>100000000=>1
[9,11,8,7,6,5,4,3,2,1,10]=>0000000000=>11
[1,9,8,7,6,5,4,3,11,10,2]=>1000000000=>1
[9,1,7,6,5,4,3,10,8,2]=>000000000=>10
[3,8,7,6,5,4,10,1,9,2]=>000000000=>10
[8,7,1,5,4,3,9,6,2]=>00000000=>9
[1,3,6,5,4,9,8,7,2]=>10000000=>1
[4,7,6,5,9,3,1,8,2]=>00000000=>9
[7,6,5,1,3,8,4,2]=>0000000=>8
[1,6,3,4,8,7,5,2]=>1000000=>1
[1,4,5,8,3,7,6,2]=>1000000=>1
[6,8,5,4,1,2,7,3]=>0000000=>8
[1,8,5,2,3,7,6,4]=>1000000=>1
[7,9,6,1,4,3,2,8,5]=>00000000=>9
[6,8,2,4,3,7,1,5]=>0000000=>8
[1,8,3,4,7,2,6,5]=>1000000=>1
[1,9,2,5,4,3,8,7,6]=>10000000=>1
[8,10,1,6,5,4,3,2,9,7]=>000000000=>10
[7,5,8,4,3,2,1,6]=>0000000=>8
[4,8,5,7,3,2,1,6]=>0000000=>8
[3,9,6,5,4,8,2,1,7]=>00000000=>9
[2,10,7,6,5,4,3,9,1,8]=>000000000=>10
[1,11,8,7,6,5,4,3,2,10,9]=>1000000000=>1
[5,1,7,6,8,4,3,2]=>0000000=>8
[8,4,7,5,2,6,1,3]=>0000000=>8
[5,4,6,8,2,1,7,3]=>0000000=>8
[8,4,6,5,2,1,7,3]=>0000000=>8
[4,8,7,5,6,1,3,2]=>0000000=>8
[5,1,8,7,4,2,3,6]=>0000000=>8
[3,6,5,2,4,1,8,7]=>0000010=>6
[3,8,7,1,4,6,5,2]=>0000000=>8
[3,2,6,8,5,7,1,4]=>0000000=>8
[6,3,7,2,4,8,5,1]=>0000000=>8
[7,4,8,6,5,2,1,3]=>0000000=>8
[2,5,3,7,4,1,8,6]=>0000000=>8
[8,4,7,6,2,3,1,5]=>0000000=>8
[4,2,8,7,3,5,6,1]=>0000000=>8
[8,1,7,4,2,5,6,3]=>0000000=>8
[7,4,3,8,2,5,6,1]=>0000000=>8
[2,5,8,7,3,6,1,4]=>0000000=>8
[4,1,7,2,8,5,6,3]=>0000000=>8
[4,7,8,3,1,5,6,2]=>0000000=>8
[3,4,7,2,8,5,6,1]=>0000000=>8
[6,1,8,5,2,7,4,3]=>0000000=>8
[8,2,1,6,4,7,5,3]=>0000000=>8
[7,8,2,6,4,1,5,3]=>0000000=>8
[2,6,3,5,8,7,1,4]=>0000000=>8
[7,4,8,6,5,2,3,1]=>0000000=>8
[8,1,6,4,7,3,2,5]=>0000000=>8
[4,8,7,5,6,1,2,3]=>0000000=>8
[6,1,4,8,7,3,5,2]=>0000000=>8
[7,2,8,4,3,5,6,1]=>0000000=>8
[3,8,1,7,2,5,6,4]=>0000000=>8
[4,3,8,2,7,6,1,5]=>0000000=>8
[2,8,3,7,1,5,6,4]=>0000000=>8
[7,2,5,4,3,8,1,6]=>0000000=>8
[3,8,6,1,2,5,4,7]=>0000000=>8
[4,1,6,5,8,2,3,7]=>0000000=>8
[8,3,6,1,4,5,2,7]=>0000000=>8
[2,7,5,4,3,8,1,6]=>0000000=>8
[8,7,4,3,1,6,2,5]=>0000000=>8
[1,7,4,3,8,6,2,5]=>1000000=>1
[2,8,6,1,7,4,5,3]=>0000000=>8
[4,8,6,5,7,2,1,3]=>0000000=>8
[6,1,8,7,4,3,5,2]=>0000000=>8
[4,1,3,8,5,6,7,2]=>0000000=>8
[6,5,8,4,3,1,7,2]=>0000000=>8
[4,6,5,2,8,1,7,3]=>0000000=>8
[7,2,8,1,3,6,4,5]=>0000000=>8
[1,8,5,2,3,6,7,4]=>1000000=>1
[1,8,3,2,5,6,7,4]=>1000000=>1
[2,8,3,1,5,6,7,4]=>0000000=>8
[4,8,3,2,5,6,7,1]=>0000000=>8
[8,2,3,1,5,6,7,4]=>0000000=>8
[2,1,8,3,5,6,7,4]=>0100000=>2
[3,5,8,1,2,4,7,6]=>0000000=>8
[4,5,8,1,2,3,7,6]=>0000000=>8
[4,2,7,1,8,6,3,5]=>0000000=>8
[3,8,4,1,2,6,7,5]=>0000000=>8
[2,7,1,4,3,8,5,6]=>0000000=>8
[3,5,2,8,6,1,7,4]=>0000000=>8
[8,2,5,6,1,4,7,3]=>0000000=>8
[2,6,1,8,3,7,5,4]=>0000000=>8
[7,6,1,5,8,2,3,4]=>0000000=>8
[3,6,8,5,1,2,7,4]=>0000000=>8
[4,2,1,8,5,6,7,3]=>0000000=>8
[7,6,1,2,8,3,5,4]=>0000000=>8
[7,5,8,4,1,2,6,3]=>0000000=>8
[7,5,8,4,6,1,3,2]=>0000000=>8
[6,5,4,8,7,1,3,2]=>0000000=>8
[6,5,4,8,1,2,7,3]=>0000000=>8
[7,5,1,6,2,3,8,4]=>0000000=>8
[7,5,1,6,8,2,4,3]=>0000000=>8
[6,5,4,1,8,2,7,3]=>0000000=>8
[6,5,4,7,1,2,8,3]=>0000000=>8
[6,5,4,7,8,1,3,2]=>0000000=>8
[6,5,3,7,1,4,2,8]=>0000001=>7
[6,5,3,1,8,4,2,7]=>0000000=>8
[7,5,1,4,8,3,2,6]=>0000000=>8
[8,1,6,4,7,3,5,2]=>0000000=>8
[7,5,1,4,8,3,6,2]=>0000000=>8
[6,5,3,7,1,4,8,2]=>0000000=>8
[6,4,3,1,5,8,7,2]=>0000000=>8
[7,4,1,5,3,8,6,2]=>0000000=>8
[8,1,5,4,3,7,6,2]=>0000000=>8
[8,1,5,4,3,7,2,6]=>0000000=>8
[7,4,1,5,3,8,2,6]=>0000000=>8
[7,4,1,5,3,2,6,8]=>0000001=>7
[8,1,5,4,3,2,6,7]=>0000000=>8
[8,1,6,4,2,5,3,7]=>0000000=>8
[6,5,3,1,2,7,4,8]=>0000001=>7
[6,5,3,8,1,4,2,7]=>0000000=>8
[7,6,8,1,4,3,2,5]=>0000000=>8
[8,1,7,2,5,4,3,6]=>0000000=>8
[8,1,7,2,5,4,6,3]=>0000000=>8
[7,6,1,2,5,4,8,3]=>0000000=>8
[6,5,3,8,1,4,7,2]=>0000000=>8
[6,5,3,1,2,7,8,4]=>0000000=>8
[7,5,1,4,2,6,8,3]=>0000000=>8
[8,1,6,4,2,5,7,3]=>0000000=>8
[7,4,1,5,3,2,8,6]=>0000000=>8
[6,4,3,1,5,2,8,7]=>0000010=>6
[6,4,3,1,5,7,2,8]=>0000001=>7
[7,4,1,5,3,6,2,8]=>0000001=>7
[8,1,5,4,3,6,2,7]=>0000000=>8
[8,1,5,4,3,6,7,2]=>0000000=>8
[7,4,1,5,3,6,8,2]=>0000000=>8
[6,4,3,1,5,7,8,2]=>0000000=>8
[6,7,3,8,4,5,1,2]=>0000000=>8
[6,7,4,5,1,8,2,3]=>0000000=>8
[4,7,5,6,2,3,1,8]=>0000001=>7
[4,7,5,6,1,8,2,3]=>0000000=>8
[4,7,5,6,3,8,1,2]=>0000000=>8
[3,7,5,8,4,6,1,2]=>0000000=>8
[4,5,3,8,6,7,1,2]=>0000000=>8
[4,8,3,6,5,7,1,2]=>0000000=>8
[5,6,4,7,1,8,2,3]=>0000000=>8
[5,6,1,7,3,8,2,4]=>0000000=>8
[5,6,1,8,2,7,3,4]=>0000000=>8
[5,6,1,8,4,7,2,3]=>0000000=>8
[4,8,1,6,5,7,2,3]=>0000000=>8
[4,5,1,8,6,7,2,3]=>0000000=>8
[7,8,4,5,1,6,2,3]=>0000000=>8
[4,8,2,3,1,6,5,7]=>0000000=>8
[5,6,2,8,1,4,3,7]=>0000000=>8
[5,6,3,4,1,8,2,7]=>0000000=>8
[3,6,4,5,2,7,1,8]=>0000001=>7
[3,6,4,5,1,8,2,7]=>0000000=>8
[2,6,4,8,1,5,3,7]=>0000000=>8
[2,8,3,6,1,5,4,7]=>0000000=>8
[2,8,3,4,1,6,5,7]=>0000000=>8
[7,8,2,5,3,4,1,6]=>0000000=>8
[7,8,1,5,3,6,2,4]=>0000000=>8
[1,5,3,8,6,7,2,4]=>1000000=>1
[1,8,3,6,2,7,4,5]=>1000000=>1
[1,6,4,8,2,7,3,5]=>1000000=>1
[2,6,4,7,3,5,1,8]=>0000001=>7
[2,7,3,6,4,5,1,8]=>0000001=>7
[1,7,3,6,4,8,2,5]=>1000000=>1
[1,7,2,8,4,6,3,5]=>1000000=>1
[1,7,5,8,4,6,2,3]=>1000000=>1
[1,7,5,8,2,6,3,4]=>1000000=>1
[1,7,5,6,3,8,2,4]=>1000000=>1
[2,7,5,6,3,4,1,8]=>0000001=>7
[6,7,2,5,3,4,1,8]=>0000001=>7
[6,7,1,5,3,8,2,4]=>0000000=>8
[6,7,5,8,1,4,2,3]=>0000000=>8
[5,8,6,7,2,3,1,4]=>0000000=>8
[6,7,2,3,1,8,4,5]=>0000000=>8
[6,7,2,8,1,4,3,5]=>0000000=>8
[3,4,2,7,5,6,1,8]=>0000001=>7
[3,4,1,7,5,8,2,6]=>0000000=>8
[2,7,5,8,1,4,3,6]=>0000000=>8
[2,3,1,7,5,8,4,6]=>0010000=>3
[2,3,1,8,4,7,5,6]=>0010000=>3
[7,8,2,3,1,6,4,5]=>0000000=>8
[7,8,2,6,1,4,3,5]=>0000000=>8
[2,8,6,7,1,4,3,5]=>0000000=>8
[2,8,1,4,3,7,5,6]=>0000000=>8
[3,7,2,5,4,6,1,8]=>0000001=>7
[4,5,2,7,3,6,1,8]=>0000001=>7
[4,5,1,8,2,7,3,6]=>0000000=>8
[3,4,1,8,2,7,5,6]=>0000000=>8
[3,4,1,8,6,7,2,5]=>0000000=>8
[3,4,2,5,1,8,6,7]=>0000100=>5
[3,4,2,8,1,6,5,7]=>0000000=>8
[3,8,2,5,1,6,4,7]=>0000000=>8
[4,5,2,8,1,6,3,7]=>0000000=>8
[4,5,3,6,1,8,2,7]=>0000000=>8
[7,1,5,8,4,6,2,3]=>0000000=>8
[8,6,7,1,4,2,5,3]=>0000000=>8
[8,6,3,7,5,1,2,4]=>0000000=>8
[8,6,1,7,3,2,5,4]=>0000000=>8
[7,6,1,8,3,5,2,4]=>0000000=>8
[7,6,1,3,8,5,2,4]=>0000000=>8
[7,6,8,2,4,5,1,3]=>0000000=>8
[7,6,2,8,3,5,1,4]=>0000000=>8
[7,6,2,3,8,5,1,4]=>0000000=>8
[8,7,1,5,2,6,3,4]=>0000000=>8
[8,7,1,5,2,3,6,4]=>0000000=>8
[8,5,2,3,1,7,6,4]=>0000000=>8
[8,6,2,3,7,1,5,4]=>0000000=>8
[8,6,2,7,3,1,5,4]=>0000000=>8
[8,6,7,2,4,1,5,3]=>0000000=>8
[6,8,7,3,4,1,5,2]=>0000000=>8
[8,7,2,5,1,6,3,4]=>0000000=>8
[8,7,2,1,4,6,3,5]=>0000000=>8
[8,4,2,1,7,6,3,5]=>0000000=>8
[8,5,2,7,1,6,3,4]=>0000000=>8
[8,5,7,2,1,4,3,6]=>0000000=>8
[5,8,7,3,1,4,2,6]=>0000000=>8
[5,8,7,3,1,4,6,2]=>0000000=>8
[8,5,7,2,1,4,6,3]=>0000000=>8
[8,5,2,7,1,3,6,4]=>0000000=>8
[8,4,2,1,3,7,6,5]=>0000000=>8
[8,7,4,1,2,3,6,5]=>0000000=>8
[8,7,4,1,2,6,3,5]=>0000000=>8
[8,4,3,1,7,2,6,5]=>0000000=>8
[8,4,3,1,2,7,6,5]=>0000000=>8
[8,6,1,3,7,2,5,4]=>0000000=>8
[8,5,1,3,2,7,6,4]=>0000000=>8
[8,5,7,4,1,6,2,3]=>0000000=>8
[8,5,7,4,1,2,6,3]=>0000000=>8
[8,1,5,4,2,7,6,3]=>0000000=>8
[8,1,6,4,7,2,5,3]=>0000000=>8
[6,1,5,8,4,2,7,3]=>0000000=>8
[5,8,3,6,4,1,2,7]=>0000000=>8
[5,2,8,6,4,1,3,7]=>0000000=>8
[8,4,7,5,1,6,2,3]=>0000000=>8
[8,4,7,5,1,2,6,3]=>0000000=>8
[8,4,7,5,1,2,3,6]=>0000000=>8
[8,7,3,5,1,2,6,4]=>0000000=>8
[8,3,2,6,5,1,4,7]=>0000000=>8
[4,8,6,3,5,1,2,7]=>0000000=>8
[4,8,7,3,1,5,2,6]=>0000000=>8
[8,4,7,2,1,5,3,6]=>0000000=>8
[8,3,2,7,1,5,4,6]=>0000000=>8
[8,3,2,1,7,6,4,5]=>0000000=>8
[8,7,3,1,4,2,6,5]=>0000000=>8
[8,7,3,1,6,2,4,5]=>0000000=>8
[8,7,3,1,2,6,4,5]=>0000000=>8
[8,7,3,1,2,4,6,5]=>0000000=>8
[8,3,2,1,4,7,6,5]=>0000000=>8
[8,3,2,1,7,4,6,5]=>0000000=>8
[8,3,2,7,1,5,6,4]=>0000000=>8
[8,4,7,2,1,5,6,3]=>0000000=>8
[3,8,7,4,1,2,5,6]=>0000000=>8
[8,7,2,1,6,3,4,5]=>0000000=>8
[8,7,2,1,3,6,4,5]=>0000000=>8
[8,7,2,1,3,4,6,5]=>0000000=>8
[2,1,4,7,6,3,8,5]=>0100000=>2
[6,4,7,8,5,3,2,1]=>0000000=>8
[4,1,3,7,6,2,8,5]=>0000000=>8
[4,2,8,6,7,3,1,5]=>0000000=>8
[7,4,3,8,2,1,5,6]=>0000000=>8
[4,7,5,8,1,6,3,2]=>0000000=>8
[4,2,5,1,6,7,8,3]=>0000000=>8
[7,8,2,5,6,1,4,3]=>0000000=>8
[6,5,7,2,8,4,3,1]=>0000000=>8
[6,5,8,2,1,7,3,4]=>0000000=>8
[7,4,3,5,1,6,8,2]=>0000000=>8
[4,1,6,3,5,8,7,2]=>0000000=>8
[8,6,7,1,5,4,3,2]=>0000000=>8
[2,1,6,5,8,4,7,3]=>0100000=>2
[4,1,8,5,6,2,3,7]=>0000000=>8
[2,6,4,8,7,3,5,1]=>0000000=>8
[7,4,8,6,3,2,5,1]=>0000000=>8
[5,8,4,7,2,1,3,6]=>0000000=>8
[2,1,8,4,3,7,5,6]=>0100000=>2
[6,3,8,2,4,5,7,1]=>0000000=>8
[5,8,4,2,3,6,1,7]=>0000000=>8
[5,8,2,4,3,1,6,7]=>0000000=>8
[2,8,3,1,6,4,5,7]=>0000000=>8
[1,4,8,2,6,3,5,7]=>1000000=>1
[1,2,7,3,5,4,8,6]=>1100000=>1
[1,2,3,8,4,5,7,6]=>1110000=>1
[1,2,8,3,4,5,7,6]=>1100000=>1
[1,3,8,2,6,4,5,7]=>1000000=>1
[1,5,7,2,3,6,4,8]=>1000001=>1
[1,7,2,3,5,4,8,6]=>1000000=>1
[1,3,8,2,4,5,7,6]=>1000000=>1
[1,2,3,8,4,6,7,5]=>1110000=>1
[1,8,2,3,5,4,6,7]=>1000000=>1
[1,7,8,2,3,6,4,5]=>1000000=>1
[1,6,7,8,2,3,5,4]=>1000000=>1
[1,7,8,2,5,3,6,4]=>1000000=>1
[1,7,8,2,4,5,3,6]=>1000000=>1
[1,2,8,3,6,4,5,7]=>1100000=>1
[1,8,2,3,6,4,5,7]=>1000000=>1
[1,2,8,3,5,4,6,7]=>1100000=>1
[1,2,7,8,3,6,4,5]=>1100000=>1
[1,5,2,7,8,3,6,4]=>1000000=>1
[1,3,2,8,4,6,7,5]=>1010000=>1
[1,8,2,3,4,6,7,5]=>1000000=>1
[1,7,8,2,4,3,6,5]=>1000000=>1
[6,7,3,1,5,2,8,4]=>0000000=>8
[7,3,6,1,5,2,4,8]=>0000001=>7
[6,4,7,5,1,2,8,3]=>0000000=>8
[6,2,1,7,5,3,8,4]=>0000000=>8
[5,4,8,6,1,7,2,3]=>0000000=>8
[5,4,7,6,1,8,2,3]=>0000000=>8
[4,6,5,7,8,1,2,3]=>0000000=>8
[5,7,4,6,1,8,2,3]=>0000000=>8
[5,7,3,1,6,8,2,4]=>0000000=>8
[5,7,4,8,1,6,2,3]=>0000000=>8
[5,3,8,1,7,6,2,4]=>0000000=>8
[5,4,8,7,1,6,2,3]=>0000000=>8
[4,6,8,7,5,1,2,3]=>0000000=>8
[4,7,8,6,5,1,2,3]=>0000000=>8
[2,5,4,7,3,6,1,8]=>0000001=>7
[2,4,6,3,7,5,1,8]=>0000001=>7
[4,2,7,3,6,5,1,8]=>0000001=>7
[4,2,6,3,1,5,8,7]=>0000010=>6
[2,5,3,1,6,4,8,7]=>0000010=>6
[2,5,3,7,6,4,1,8]=>0000001=>7
[2,6,5,3,7,4,1,8]=>0000001=>7
[4,2,7,6,3,5,1,8]=>0000001=>7
[2,7,5,3,6,4,1,8]=>0000001=>7
[2,6,3,7,5,4,1,8]=>0000001=>7
[1,7,5,2,3,8,4,6]=>1000000=>1
[2,1,3,7,5,4,8,6]=>0110000=>2
[2,3,1,8,6,5,4,7]=>0010000=>3
[2,5,3,1,8,6,4,7]=>0000000=>8
[4,2,8,3,1,6,5,7]=>0000000=>8
[8,3,2,6,4,1,5,7]=>0000000=>8
[3,6,8,2,1,4,5,7]=>0000000=>8
[1,5,2,8,3,4,7,6]=>1000000=>1
[1,2,6,3,8,7,4,5]=>1100000=>1
[1,2,8,3,6,4,7,5]=>1100000=>1
[1,2,7,6,3,4,8,5]=>1100000=>1
[2,1,3,8,7,5,4,6]=>0110000=>2
[1,2,3,8,6,4,7,5]=>1110000=>1
[1,2,3,7,4,8,6,5]=>1110000=>1
[1,2,7,6,3,8,4,5]=>1100000=>1
[1,2,3,6,4,8,7,5]=>1110000=>1
[1,2,3,7,6,4,8,5]=>1110000=>1
[2,6,3,1,8,5,4,7]=>0000000=>8
[2,1,3,8,5,4,7,6]=>0110000=>2
[7,1,8,4,2,3,5,6]=>0000000=>8
[2,1,8,4,3,5,7,6]=>0100000=>2
[4,2,6,3,1,8,5,7]=>0000000=>8
[5,4,2,8,3,1,6,7]=>0000000=>8
[3,5,8,2,4,1,6,7]=>0000000=>8
[2,5,4,8,3,1,6,7]=>0000000=>8
[4,2,1,8,3,5,7,6]=>0000000=>8
[1,8,7,4,2,3,5,6]=>1000000=>1
[1,5,2,8,7,3,4,6]=>1000000=>1
[1,2,7,3,6,4,8,5]=>1100000=>1
[1,2,8,6,3,7,4,5]=>1100000=>1
[1,2,7,3,8,6,4,5]=>1100000=>1
[1,2,3,8,4,7,6,5]=>1110000=>1
[1,2,7,3,4,8,6,5]=>1100000=>1
[1,2,6,3,8,4,7,5]=>1100000=>1
[1,5,2,3,8,7,4,6]=>1000000=>1
[4,2,1,8,3,7,5,6]=>0000000=>8
[8,3,2,1,7,4,5,6]=>0000000=>8
[1,8,4,2,7,3,5,6]=>1000000=>1
[1,2,8,6,3,4,7,5]=>1100000=>1
[1,2,7,3,8,4,6,5]=>1100000=>1
[1,2,3,8,7,4,6,5]=>1110000=>1
[1,2,3,8,7,6,4,5]=>1110000=>1
[2,5,3,8,1,6,4,7]=>0000000=>8
[2,6,4,7,1,5,3,8]=>0000001=>7
[2,6,5,7,1,4,3,8]=>0000001=>7
[3,8,5,7,1,2,6,4]=>0000000=>8
[3,8,5,7,2,6,4,1]=>0000000=>8
[3,4,8,6,2,5,7,1]=>0000000=>8
[3,4,8,6,1,2,5,7]=>0000000=>8
[2,5,7,1,4,8,6,3]=>0000000=>8
[2,4,8,1,5,7,6,3]=>0000000=>8
[2,4,3,8,1,6,5,7]=>0000000=>8
[2,8,1,7,5,6,4,3]=>0000000=>8
[2,3,8,1,6,5,7,4]=>0000000=>8
[2,4,8,1,3,5,7,6]=>0000000=>8
[3,5,7,6,1,2,4,8]=>0000001=>7
[3,5,7,6,2,4,8,1]=>0000000=>8
[4,8,6,7,2,3,5,1]=>0000000=>8
[4,8,6,7,1,2,3,5]=>0000000=>8
[4,8,6,7,1,3,5,2]=>0000000=>8
[3,4,8,6,1,5,7,2]=>0000000=>8
[3,8,5,7,1,6,4,2]=>0000000=>8
[3,2,8,5,6,1,7,4]=>0000000=>8
[3,8,5,7,2,1,6,4]=>0000000=>8
[3,4,8,6,2,1,5,7]=>0000000=>8
[3,5,7,6,2,1,4,8]=>0000001=>7
[4,8,6,7,2,1,3,5]=>0000000=>8
[4,8,6,7,3,5,2,1]=>0000000=>8
[5,8,6,7,3,4,2,1]=>0000000=>8
[5,8,6,7,2,1,3,4]=>0000000=>8
[5,8,6,7,2,1,4,3]=>0000000=>8
[4,8,6,7,2,1,5,3]=>0000000=>8
[4,3,1,7,5,2,8,6]=>0000000=>8
[4,3,2,8,5,1,7,6]=>0000000=>8
[4,3,8,5,1,6,7,2]=>0000000=>8
[4,8,6,7,1,5,3,2]=>0000000=>8
[5,8,6,7,1,4,3,2]=>0000000=>8
[5,8,6,7,2,3,4,1]=>0000000=>8
[5,8,6,7,2,4,3,1]=>0000000=>8
[5,8,6,7,1,2,4,3]=>0000000=>8
[4,2,3,8,5,1,6,7]=>0000000=>8
[4,2,8,5,1,7,6,3]=>0000000=>8
[3,4,2,8,5,6,1,7]=>0000000=>8
[3,2,4,8,6,1,5,7]=>0000000=>8
[3,2,5,7,6,1,4,8]=>0000001=>7
[4,8,6,7,1,3,2,5]=>0000000=>8
[4,8,6,7,1,2,5,3]=>0000000=>8
[4,8,6,7,2,5,3,1]=>0000000=>8
[4,3,8,5,2,6,7,1]=>0000000=>8
[4,3,8,5,1,2,6,7]=>0000000=>8
[4,2,6,7,5,1,3,8]=>0000001=>7
[3,8,5,7,1,4,2,6]=>0000000=>8
[3,8,4,7,1,5,2,6]=>0000000=>8
[3,5,2,8,4,6,1,7]=>0000000=>8
[3,5,1,7,4,6,2,8]=>0000001=>7
[3,8,4,7,2,5,1,6]=>0000000=>8
[4,1,3,8,5,2,6,7]=>0000000=>8
[4,1,2,6,7,5,3,8]=>0000001=>7
[4,2,6,7,5,3,8,1]=>0000000=>8
[4,8,6,7,3,2,5,1]=>0000000=>8
[4,8,6,7,3,1,2,5]=>0000000=>8
[3,1,5,7,6,2,4,8]=>0000001=>7
[3,4,1,7,5,6,2,8]=>0000001=>7
[4,1,7,5,2,8,6,3]=>0000000=>8
[4,1,6,7,5,2,3,8]=>0000001=>7
[4,8,6,7,2,3,1,5]=>0000000=>8
[5,8,6,7,3,2,4,1]=>0000000=>8
[5,8,6,7,4,2,3,1]=>0000000=>8
[5,8,6,7,4,1,2,3]=>0000000=>8
[5,8,6,7,4,1,3,2]=>0000000=>8
[5,8,6,7,3,1,4,2]=>0000000=>8
[4,8,6,7,3,1,5,2]=>0000000=>8
[4,1,6,7,5,3,8,2]=>0000000=>8
[4,1,7,5,3,2,8,6]=>0000000=>8
[4,2,8,5,3,1,7,6]=>0000000=>8
[4,2,1,6,7,5,3,8]=>0000001=>7
[4,8,6,7,3,2,1,5]=>0000000=>8
[5,8,6,7,4,2,1,3]=>0000000=>8
[5,8,6,7,4,3,1,2]=>0000000=>8
[7,3,5,8,1,4,2,6]=>0000000=>8
[3,8,7,6,1,4,2,5]=>0000000=>8
[5,1,8,3,6,7,2,4]=>0000000=>8
[1,4,7,8,5,6,2,3]=>1000000=>1
[3,4,7,1,5,8,6,2]=>0000000=>8
[3,6,1,4,7,8,5,2]=>0000000=>8
[1,6,8,4,7,5,2,3]=>1000000=>1
[6,8,1,3,5,7,2,4]=>0000000=>8
[7,6,1,4,3,8,2,5]=>0000000=>8
[3,8,1,6,5,4,2,7]=>0000000=>8
[4,1,3,7,5,8,2,6]=>0000000=>8
[6,1,7,3,8,4,2,5]=>0000000=>8
[7,1,8,6,3,5,2,4]=>0000000=>8
[3,1,7,6,5,8,4,2]=>0000000=>8
[8,2,7,6,5,3,4,1]=>0000000=>8
[8,4,2,6,7,5,3,1]=>0000000=>8
[4,8,1,6,7,5,3,2]=>0000000=>8
[7,4,1,6,8,2,5,3]=>0000000=>8
[1,3,8,6,2,7,5,4]=>1000000=>1
[6,1,3,2,7,8,4,5]=>0000000=>8
[1,8,6,2,5,3,4,7]=>1000000=>1
[4,7,2,6,8,1,5,3]=>0000000=>8
[8,7,3,6,4,5,2,1]=>0000000=>8
[5,7,8,6,2,1,4,3]=>0000000=>8
[2,7,4,1,6,8,3,5]=>0000000=>8
[3,7,2,4,5,1,6,8]=>0000001=>7
[1,8,6,4,5,2,3,7]=>1000000=>1
[2,8,4,6,5,1,3,7]=>0000000=>8
[3,4,1,7,5,2,6,8]=>0000001=>7
[7,5,8,6,1,2,4,3]=>0000000=>8
[5,6,8,7,3,1,4,2]=>0000000=>8
[2,5,4,3,6,8,1,7]=>0000000=>8
[3,8,5,4,6,2,1,7]=>0000000=>8
[4,8,2,1,3,7,5,6]=>0000000=>8
[6,4,1,2,7,5,8,3]=>0000000=>8
[4,1,8,3,6,7,5,2]=>0000000=>8
[8,3,7,4,5,2,6,1]=>0000000=>8
[4,3,7,8,5,1,6,2]=>0000000=>8
[5,4,8,2,7,6,1,3]=>0000000=>8
[1,2,7,3,6,5,8,4]=>1100000=>1
[2,8,7,6,3,4,1,5]=>0000000=>8
[5,8,2,6,3,4,1,7]=>0000000=>8
[4,1,7,5,8,6,2,3]=>0000000=>8
[5,1,7,8,4,3,6,2]=>0000000=>8
[8,2,7,5,4,3,6,1]=>0000000=>8
[6,3,8,1,4,7,5,2]=>0000000=>8
[3,8,4,5,6,1,2,7]=>0000000=>8
[1,4,3,5,7,8,2,6]=>1000000=>1
[6,5,8,7,1,3,4,2]=>0000000=>8
[3,6,7,2,4,8,1,5]=>0000000=>8
[1,5,2,7,4,3,8,6]=>1000000=>1
[2,8,5,6,4,3,1,7]=>0000000=>8
[1,8,6,5,4,3,2,7]=>1000000=>1
[7,6,8,1,2,3,5,4]=>0000000=>8
[2,7,1,5,8,6,3,4]=>0000000=>8
[2,4,7,1,8,5,6,3]=>0000000=>8
[4,7,5,8,3,1,6,2]=>0000000=>8
[1,2,7,6,8,3,5,4]=>1100000=>1
[7,4,2,1,6,8,5,3]=>0000000=>8
[6,7,4,1,8,5,3,2]=>0000000=>8
[7,2,8,1,6,4,5,3]=>0000000=>8
[1,7,2,6,8,5,4,3]=>1000000=>1
[7,2,5,8,6,3,1,4]=>0000000=>8
[7,2,6,8,5,4,1,3]=>0000000=>8
[6,7,3,1,8,5,4,2]=>0000000=>8
[6,7,1,8,5,4,3,2]=>0000000=>8
[7,6,8,3,2,1,5,4]=>0000000=>8
[4,7,8,5,6,1,3,2]=>0000000=>8
[4,6,5,8,7,1,3,2]=>0000000=>8
[5,6,4,8,1,2,7,3]=>0000000=>8
[8,1,5,6,7,2,4,3]=>0000000=>8
[6,4,5,1,8,2,7,3]=>0000000=>8
[5,4,6,7,1,2,8,3]=>0000000=>8
[4,3,6,7,2,1,5,8]=>0000001=>7
[5,3,6,7,1,4,2,8]=>0000001=>7
[8,1,4,6,7,3,2,5]=>0000000=>8
[8,1,3,6,7,4,5,2]=>0000000=>8
[7,2,1,6,8,4,5,3]=>0000000=>8
[5,2,6,7,1,4,8,3]=>0000000=>8
[4,2,6,7,3,1,8,5]=>0000000=>8
[6,2,4,1,5,8,7,3]=>0000000=>8
[7,2,1,5,4,8,6,3]=>0000000=>8
[8,1,4,5,3,7,2,6]=>0000000=>8
[7,3,1,5,4,8,2,6]=>0000000=>8
[6,3,4,1,5,8,2,7]=>0000000=>8
[5,3,4,2,1,8,6,7]=>0000100=>5
[4,3,5,2,7,1,6,8]=>0000001=>7
[5,6,3,8,1,4,2,7]=>0000000=>8
[8,1,7,2,4,5,6,3]=>0000000=>8
[7,6,1,2,4,5,8,3]=>0000000=>8
[4,7,8,2,3,1,6,5]=>0000000=>8
[5,6,2,8,1,4,7,3]=>0000000=>8
[6,5,2,1,3,7,8,4]=>0000000=>8
[7,5,1,3,2,6,8,4]=>0000000=>8
[8,1,6,3,2,5,7,4]=>0000000=>8
[7,4,1,3,5,2,8,6]=>0000000=>8
[5,4,2,3,1,6,8,7]=>0000110=>5
[7,3,1,4,5,6,2,8]=>0000001=>7
[8,1,4,3,5,6,2,7]=>0000000=>8
[6,2,3,1,5,7,8,4]=>0000000=>8
[7,8,4,2,1,6,5,3]=>0000000=>8
[7,8,4,2,1,5,6,3]=>0000000=>8
[6,2,3,4,8,7,1,5]=>0000000=>8
[6,2,3,4,7,8,1,5]=>0000000=>8
[7,8,3,4,6,2,1,5]=>0000000=>8
[7,8,3,6,4,2,1,5]=>0000000=>8
[7,8,3,5,6,2,1,4]=>0000000=>8
[6,2,3,8,7,5,1,4]=>0000000=>8
[6,2,3,7,8,5,1,4]=>0000000=>8
[5,2,6,3,8,1,7,4]=>0000000=>8
[6,3,2,5,8,7,1,4]=>0000000=>8
[6,3,2,8,4,7,1,5]=>0000000=>8
[6,4,3,8,7,5,1,2]=>0000000=>8
[6,4,3,7,8,5,1,2]=>0000000=>8
[6,2,4,1,7,3,5,8]=>0000001=>7
[6,3,2,7,4,8,1,5]=>0000000=>8
[6,3,2,5,7,8,1,4]=>0000000=>8
[5,7,2,3,6,1,8,4]=>0000000=>8
[5,8,2,3,6,1,7,4]=>0000000=>8
[4,7,5,8,3,2,1,6]=>0000000=>8
[4,5,6,8,3,2,1,7]=>0000000=>8
[4,6,8,5,3,2,1,7]=>0000000=>8
[5,6,1,4,2,3,7,8]=>0000011=>6
[5,6,8,4,3,7,1,2]=>0000000=>8
[5,6,1,4,2,3,8,7]=>0000010=>6
[5,2,8,3,4,1,7,6]=>0000000=>8
[4,5,8,6,3,2,1,7]=>0000000=>8
[4,6,5,8,3,2,1,7]=>0000000=>8
[4,7,5,6,3,2,1,8]=>0000001=>7
[6,2,3,4,5,8,1,7]=>0000000=>8
[5,1,4,3,6,2,8,7]=>0000010=>6
[5,1,4,3,7,2,8,6]=>0000000=>8
[5,1,4,3,8,2,7,6]=>0000000=>8
[5,6,2,4,1,7,8,3]=>0000000=>8
[5,6,2,4,1,8,7,3]=>0000000=>8
[5,7,2,4,1,8,6,3]=>0000000=>8
[6,1,4,2,8,7,5,3]=>0000000=>8
[6,1,4,2,7,8,5,3]=>0000000=>8
[5,8,2,4,1,7,6,3]=>0000000=>8
[5,2,7,4,1,6,8,3]=>0000000=>8
[5,4,1,3,7,2,6,8]=>0000001=>7
[5,1,4,3,6,2,7,8]=>0000011=>6
[5,8,6,4,3,7,1,2]=>0000000=>8
[5,8,1,4,2,3,7,6]=>0000000=>8
[5,1,6,3,4,2,7,8]=>0000011=>6
[4,8,6,5,3,2,1,7]=>0000000=>8
[4,8,5,6,3,2,1,7]=>0000000=>8
[5,4,7,8,3,2,1,6]=>0000000=>8
[5,4,8,7,3,2,1,6]=>0000000=>8
[4,6,8,7,3,2,1,5]=>0000000=>8
[4,6,7,8,3,2,1,5]=>0000000=>8
[4,7,6,8,3,2,1,5]=>0000000=>8
[4,7,8,5,3,2,1,6]=>0000000=>8
[5,7,1,3,4,2,6,8]=>0000001=>7
[5,1,8,4,2,3,6,7]=>0000000=>8
[5,1,7,4,2,3,6,8]=>0000001=>7
[5,8,1,3,4,2,6,7]=>0000000=>8
[4,8,7,5,3,2,1,6]=>0000000=>8
[4,7,8,6,3,2,1,5]=>0000000=>8
[4,8,7,6,3,2,1,5]=>0000000=>8
[4,8,2,6,3,7,5,1]=>0000000=>8
[4,3,8,1,6,2,5,7]=>0000000=>8
[6,8,1,2,4,3,5,7]=>0000000=>8
[4,8,7,6,3,1,2,5]=>0000000=>8
[1,4,3,8,2,6,5,7]=>1000000=>1
[4,1,3,8,2,6,5,7]=>0000000=>8
[4,1,8,3,7,5,6,2]=>0000000=>8
[7,3,8,1,5,4,6,2]=>0000000=>8
[3,6,7,8,4,1,2,5]=>0000000=>8
[3,7,6,8,4,2,1,5]=>0000000=>8
[3,7,8,2,6,4,5,1]=>0000000=>8
[4,2,3,8,1,6,5,7]=>0000000=>8
[4,3,1,8,2,6,5,7]=>0000000=>8
[4,3,7,8,5,2,1,6]=>0000000=>8
[7,3,6,8,4,2,1,5]=>0000000=>8
[7,6,2,8,3,5,4,1]=>0000000=>8
[3,2,4,8,1,6,5,7]=>0000000=>8
[2,4,8,3,6,1,5,7]=>0000000=>8
[7,4,1,8,5,2,6,3]=>0000000=>8
[1,3,2,4,8,6,5,7]=>1011000=>1
[3,1,2,4,8,6,5,7]=>0011000=>3
[3,1,4,8,2,6,5,7]=>0000000=>8
[3,7,4,8,5,1,2,6]=>0000000=>8
[6,7,2,8,3,5,4,1]=>0000000=>8
[2,1,3,4,8,6,5,7]=>0111000=>2
[1,2,3,4,8,6,5,7]=>1111000=>1
[4,8,3,6,2,1,5,7]=>0000000=>8
[3,5,8,2,6,1,4,7]=>0000000=>8
[3,6,5,8,2,4,1,7]=>0000000=>8
[5,3,8,7,2,4,6,1]=>0000000=>8
[2,8,4,5,7,3,6,1]=>0000000=>8
[2,4,5,7,3,8,1,6]=>0000000=>8
[6,2,4,5,8,3,1,7]=>0000000=>8
[4,8,1,2,5,6,3,7]=>0000000=>8
[8,1,3,5,2,6,4,7]=>0000000=>8
[5,2,1,6,3,8,4,7]=>0000000=>8
[6,2,5,1,8,4,3,7]=>0000000=>8
[3,6,1,5,8,4,2,7]=>0000000=>8
[6,1,4,5,8,3,2,7]=>0000000=>8
[5,6,4,8,1,3,2,7]=>0000000=>8
[6,5,4,3,8,2,1,7]=>0000000=>8
[5,4,3,7,2,8,1,6]=>0000000=>8
[5,8,4,3,7,2,6,1]=>0000000=>8
[4,6,8,3,7,2,5,1]=>0000000=>8
[7,4,6,3,2,8,1,5]=>0000000=>8
[1,4,3,6,2,7,8,5]=>1000000=>1
[1,5,4,3,7,2,8,6]=>1000000=>1
[4,7,8,5,3,1,2,6]=>0000000=>8
[5,7,3,4,1,2,8,6]=>0000000=>8
[8,5,4,7,6,2,1,3]=>0000000=>8
[8,5,7,4,3,6,1,2]=>0000000=>8
[4,3,8,1,6,7,5,2]=>0000000=>8
[4,7,8,3,6,1,5,2]=>0000000=>8
[5,3,8,6,7,4,1,2]=>0000000=>8
[1,3,8,6,4,7,5,2]=>1000000=>1
[8,6,2,7,4,1,5,3]=>0000000=>8
[7,6,2,1,4,3,8,5]=>0000000=>8
[7,6,1,3,4,2,8,5]=>0000000=>8
[1,5,7,3,2,6,8,4]=>1000000=>1
[1,6,7,3,2,5,8,4]=>1000000=>1
[3,2,6,8,5,7,4,1]=>0000000=>8
[5,8,2,3,6,7,4,1]=>0000000=>8
[7,5,2,3,1,6,8,4]=>0000000=>8
[1,6,4,7,2,3,8,5]=>1000000=>1
[3,1,7,5,2,8,4,6]=>0000000=>8
[2,5,7,4,1,8,3,6]=>0000000=>8
[4,2,6,1,7,8,3,5]=>0000000=>8
[4,2,7,6,3,8,1,5]=>0000000=>8
[6,4,8,7,2,3,5,1]=>0000000=>8
[3,2,6,8,7,4,5,1]=>0000000=>8
[3,2,7,4,1,6,8,5]=>0000000=>8
[6,3,2,1,7,8,4,5]=>0000000=>8
[3,7,1,8,4,2,5,6]=>0000000=>8
[4,2,1,3,7,5,8,6]=>0001000=>4
[8,1,3,7,4,2,6,5]=>0000000=>8
[8,4,3,7,6,2,1,5]=>0000000=>8
[8,3,5,2,7,6,1,4]=>0000000=>8
[3,6,2,8,7,1,5,4]=>0000000=>8
[7,3,2,8,1,6,5,4]=>0000000=>8
[3,8,7,2,6,5,4,1]=>0000000=>8
[4,2,7,8,6,1,5,3]=>0000000=>8
[6,8,2,4,7,1,5,3]=>0000000=>8
[5,2,1,8,7,3,6,4]=>0000000=>8
[8,2,1,6,3,7,5,4]=>0000000=>8
[6,8,3,1,7,5,2,4]=>0000000=>8
[5,8,1,6,7,2,4,3]=>0000000=>8
[6,2,8,1,5,7,4,3]=>0000000=>8
[5,7,8,2,6,1,4,3]=>0000000=>8
[8,7,2,5,6,4,3,1]=>0000000=>8
[8,6,7,5,2,4,3,1]=>0000000=>8
[7,2,6,8,1,5,4,3]=>0000000=>8
[1,2,7,8,5,6,4,3]=>1100000=>1
[7,4,8,1,6,2,5,3]=>0000000=>8
[3,7,1,8,2,6,5,4]=>0000000=>8
[2,1,7,3,8,6,5,4]=>0100000=>2
[8,2,1,7,6,5,4,3]=>0000000=>8
[8,1,4,7,6,5,3,2]=>0000000=>8
[8,6,7,5,1,4,3,2]=>0000000=>8
[7,8,6,5,4,1,3,2]=>0000000=>8
[5,8,4,3,2,1,6,7]=>0000000=>8
[6,4,7,3,2,1,8,5]=>0000000=>8
[5,4,7,3,2,1,6,8]=>0000001=>7
[6,5,3,7,2,1,4,8]=>0000001=>7
[5,8,3,6,2,1,4,7]=>0000000=>8
[6,3,7,8,2,1,4,5]=>0000000=>8
[5,3,7,6,2,1,4,8]=>0000001=>7
[3,8,7,6,2,1,4,5]=>0000000=>8
[5,8,4,2,6,1,3,7]=>0000000=>8
[4,8,7,2,5,1,3,6]=>0000000=>8
[5,8,3,2,6,1,4,7]=>0000000=>8
[4,8,3,2,5,1,7,6]=>0000000=>8
[4,3,7,2,5,1,8,6]=>0000000=>8
[3,8,7,2,5,1,4,6]=>0000000=>8
[6,4,2,7,5,1,3,8]=>0000001=>7
[6,3,2,7,5,1,4,8]=>0000001=>7
[5,3,2,6,7,1,4,8]=>0000001=>7
[3,8,2,6,5,1,4,7]=>0000000=>8
[6,2,7,8,5,1,3,4]=>0000000=>8
[5,2,7,6,8,1,3,4]=>0000000=>8
[4,2,7,6,5,1,3,8]=>0000001=>7
[2,8,7,6,5,1,3,4]=>0000000=>8
[6,5,4,3,1,7,8,2]=>0000000=>8
[6,4,7,3,1,5,8,2]=>0000000=>8
[5,4,7,3,1,8,6,2]=>0000000=>8
[6,4,3,7,1,5,8,2]=>0000000=>8
[5,4,3,6,1,8,7,2]=>0000000=>8
[6,3,7,8,1,4,5,2]=>0000000=>8
[5,3,7,6,1,4,8,2]=>0000000=>8
[4,3,7,6,1,5,8,2]=>0000000=>8
[3,8,7,6,1,4,5,2]=>0000000=>8
[6,5,4,2,1,7,3,8]=>0000001=>7
[6,4,7,2,1,5,3,8]=>0000001=>7
[4,8,7,2,1,5,3,6]=>0000000=>8
[5,8,3,2,1,4,7,6]=>0000000=>8
[4,8,3,2,1,5,7,6]=>0000000=>8
[5,3,7,2,1,4,8,6]=>0000000=>8
[3,8,7,2,1,4,5,6]=>0000000=>8
[6,5,2,7,1,4,3,8]=>0000001=>7
[5,8,2,6,1,4,3,7]=>0000000=>8
[6,4,2,7,1,5,3,8]=>0000001=>7
[5,4,2,6,1,8,3,7]=>0000000=>8
[4,3,2,6,1,5,8,7]=>0000010=>6
[6,2,7,8,1,4,3,5]=>0000000=>8
[4,2,7,6,1,5,3,8]=>0000001=>7
[3,2,7,6,1,4,5,8]=>0000001=>7
[6,5,4,1,8,7,3,2]=>0000000=>8
[5,8,4,1,6,7,3,2]=>0000000=>8
[6,4,7,1,5,8,3,2]=>0000000=>8
[5,4,7,1,6,8,3,2]=>0000000=>8
[4,8,7,1,5,6,3,2]=>0000000=>8
[5,4,3,1,6,8,7,2]=>0000000=>8
[4,8,3,1,5,6,7,2]=>0000000=>8
[3,8,7,1,5,4,6,2]=>0000000=>8
[5,8,2,1,6,4,3,7]=>0000000=>8
[6,3,2,1,5,4,8,7]=>0000010=>6
[5,3,2,1,6,4,8,7]=>0000010=>6
[3,8,2,1,5,4,6,7]=>0000000=>8
[6,2,7,1,5,4,3,8]=>0000001=>7
[5,2,7,1,6,4,3,8]=>0000001=>7
[4,2,7,1,5,6,3,8]=>0000001=>7
[3,2,7,1,5,4,6,8]=>0000001=>7
[2,8,7,1,5,4,3,6]=>0000000=>8
[6,5,1,7,8,4,3,2]=>0000000=>8
[5,8,1,6,7,4,3,2]=>0000000=>8
[6,4,1,7,5,8,3,2]=>0000000=>8
[5,4,1,6,7,8,3,2]=>0000000=>8
[4,8,1,6,5,7,3,2]=>0000000=>8
[6,3,1,7,5,4,8,2]=>0000000=>8
[5,3,1,6,7,4,8,2]=>0000000=>8
[4,3,1,6,5,7,8,2]=>0000000=>8
[3,8,1,6,5,4,7,2]=>0000000=>8
[5,2,1,6,7,4,3,8]=>0000001=>7
[4,2,1,6,5,7,3,8]=>0000001=>7
[2,8,1,6,5,4,3,7]=>0000000=>8
[6,1,7,8,5,4,3,2]=>0000000=>8
[4,1,7,6,5,8,3,2]=>0000000=>8
[3,1,7,6,5,4,8,2]=>0000000=>8
[8,1,3,5,7,2,4,6]=>0000000=>8
[3,6,8,1,7,2,4,5]=>0000000=>8
[3,4,5,6,8,1,7,2]=>0000000=>8
[8,2,3,5,6,7,1,4]=>0000000=>8
[1,7,2,3,5,4,6,8]=>1000001=>1
[8,1,2,3,5,4,6,7]=>0000000=>8
[4,5,8,1,7,6,3,2]=>0000000=>8
[3,6,8,7,2,1,5,4]=>0000000=>8
[8,6,4,1,7,5,3,2]=>0000000=>8
[2,3,6,7,8,1,5,4]=>0000000=>8
[7,1,4,2,8,3,6,5]=>0000000=>8
[7,1,8,2,5,3,6,4]=>0000000=>8
[1,7,2,6,5,4,3,8]=>1000001=>1
[3,6,8,1,7,5,4,2]=>0000000=>8
[8,2,6,7,5,4,1,3]=>0000000=>8
[7,3,1,8,6,5,4,2]=>0000000=>8
[8,7,2,1,6,5,4,3]=>0000000=>8
[8,6,1,5,2,7,4,3]=>0000000=>8
[8,5,1,7,4,2,6,3]=>0000000=>8
[2,1,7,5,4,3,8,6]=>0100000=>2
[2,1,7,8,3,6,5,4]=>0100000=>2
[2,1,4,8,5,7,3,6]=>0100000=>2
[8,5,3,1,6,2,4,7]=>0000000=>8
[6,4,1,5,2,3,8,7]=>0000010=>6
[8,3,7,5,2,6,1,4]=>0000000=>8
[5,3,7,4,6,8,1,2]=>0000000=>8
[5,8,3,7,6,2,1,4]=>0000000=>8
[4,2,6,3,8,5,1,7]=>0000000=>8
[3,8,2,4,7,5,1,6]=>0000000=>8
[5,8,2,1,7,6,4,3]=>0000000=>8
[8,3,2,4,1,7,5,6]=>0000000=>8
[7,8,3,1,5,4,6,2]=>0000000=>8
[7,2,8,1,4,6,5,3]=>0000000=>8
[5,6,1,4,3,2,8,7]=>0000010=>6
[5,7,1,8,3,6,2,4]=>0000000=>8
[8,3,5,6,1,7,4,2]=>0000000=>8
[6,3,5,4,1,2,8,7]=>0000010=>6
[3,4,7,2,8,1,5,6]=>0000000=>8
[4,2,3,5,8,1,6,7]=>0000000=>8
[3,2,4,6,1,5,8,7]=>0000010=>6
[5,6,8,1,4,2,7,3]=>0000000=>8
[1,3,5,7,8,6,2,4]=>1000000=>1
[3,5,7,8,6,1,2,4]=>0000000=>8
[3,5,1,6,8,2,7,4]=>0000000=>8
[5,6,4,8,2,1,7,3]=>0000000=>8
[5,1,6,3,8,4,7,2]=>0000000=>8
[2,5,1,6,8,3,7,4]=>0000000=>8
[5,1,2,6,8,3,7,4]=>0000000=>8
[5,7,1,8,6,2,3,4]=>0000000=>8
[1,5,2,7,8,6,3,4]=>1000000=>1
[6,1,7,5,2,8,3,4]=>0000000=>8
[5,7,2,8,6,1,3,4]=>0000000=>8
[5,1,7,8,6,3,4,2]=>0000000=>8
[5,1,3,7,8,6,4,2]=>0000000=>8
[5,2,7,8,4,6,1,3]=>0000000=>8
[1,2,6,7,5,8,3,4]=>1100000=>1
[6,2,7,5,4,1,8,3]=>0000000=>8
[5,1,7,8,6,4,3,2]=>0000000=>8
[2,5,7,8,6,3,1,4]=>0000000=>8
[2,4,7,1,5,6,8,3]=>0000000=>8
[1,6,7,4,5,2,8,3]=>1000000=>1
[1,6,3,7,5,8,2,4]=>1000000=>1
[6,2,7,4,5,1,8,3]=>0000000=>8
[7,5,1,6,3,8,2,4]=>0000000=>8
[2,7,6,1,3,8,5,4]=>0000000=>8
[7,3,5,1,8,2,6,4]=>0000000=>8
[7,3,5,1,8,2,4,6]=>0000000=>8
[2,6,7,4,1,8,3,5]=>0000000=>8
[2,1,6,7,3,8,5,4]=>0100000=>2
[3,7,5,4,8,1,6,2]=>0000000=>8
[4,6,1,5,8,7,3,2]=>0000000=>8
[7,5,1,6,2,8,4,3]=>0000000=>8
[6,8,5,4,3,2,7,1]=>0000000=>8
[10,11,9,8,7,6,5,4,3,2,1]=>0000000000=>11
[7,9,6,5,4,3,2,8,1]=>00000000=>9
[8,9,6,5,4,3,2,1,7]=>00000000=>9
[6,8,5,4,3,7,2,1]=>0000000=>8
[5,8,4,3,2,1,7,6]=>0000000=>8
[6,5,4,3,1,8,7,2]=>0000000=>8
[8,7,6,5,4,3,9,1,2]=>00000000=>9
[8,7,5,4,3,1,6,2]=>0000000=>8
[9,7,6,5,4,3,1,8,2]=>00000000=>9
[11,10,9,8,7,6,5,4,3,1,2]=>0000000000=>11
[8,3,4,6,2,1,5,7]=>0000000=>8
[3,5,6,2,1,8,4,7]=>0000000=>8
[3,5,2,6,8,4,1,7]=>0000000=>8
[7,5,3,2,8,4,1,6]=>0000000=>8
[7,5,3,2,8,4,6,1]=>0000000=>8
[2,4,5,7,3,8,6,1]=>0000000=>8
[4,2,5,6,8,3,1,7]=>0000000=>8
[4,2,8,1,5,6,3,7]=>0000000=>8
[2,5,6,1,8,4,3,7]=>0000000=>8
[5,3,6,8,1,4,2,7]=>0000000=>8
[4,5,6,8,1,3,2,7]=>0000000=>8
[1,4,5,6,8,3,2,7]=>1000000=>1
[4,5,6,3,8,2,1,7]=>0000000=>8
[4,5,3,7,2,8,6,1]=>0000000=>8
[6,4,7,3,2,8,5,1]=>0000000=>8
[6,1,4,7,3,2,8,5]=>0000000=>8
[1,7,8,4,5,3,2,6]=>1000000=>1
[5,1,7,3,8,4,2,6]=>0000000=>8
[2,5,1,7,4,3,8,6]=>0000000=>8
[2,5,7,4,1,8,6,3]=>0000000=>8
[5,3,7,1,4,8,6,2]=>0000000=>8
[6,4,3,1,7,8,5,2]=>0000000=>8
[6,4,1,7,3,8,5,2]=>0000000=>8
[5,6,3,7,8,4,2,1]=>0000000=>8
[5,1,6,3,7,8,4,2]=>0000000=>8
[5,6,1,3,7,8,4,2]=>0000000=>8
[5,6,1,7,8,3,4,2]=>0000000=>8
[1,6,3,7,4,8,5,2]=>1000000=>1
[6,7,2,4,1,8,5,3]=>0000000=>8
[6,7,2,1,4,3,8,5]=>0000000=>8
[6,4,7,3,1,2,8,5]=>0000000=>8
[5,6,3,1,2,7,8,4]=>0000000=>8
[5,6,1,3,2,7,8,4]=>0000000=>8
[5,6,3,2,1,7,8,4]=>0000000=>8
[2,5,6,3,7,8,4,1]=>0000000=>8
[2,5,6,3,1,7,8,4]=>0000000=>8
[2,6,4,7,3,1,8,5]=>0000000=>8
[6,3,7,2,8,4,5,1]=>0000000=>8
[6,3,7,2,8,4,1,5]=>0000000=>8
[6,3,2,7,1,8,4,5]=>0000000=>8
[7,5,3,2,1,8,4,6]=>0000000=>8
[7,3,8,4,2,1,5,6]=>0000000=>8
[4,7,2,1,3,8,6,5]=>0000000=>8
[1,3,7,8,6,4,2,5]=>1000000=>1
[7,3,8,4,6,2,1,5]=>0000000=>8
[5,7,3,8,2,1,6,4]=>0000000=>8
[6,3,7,8,5,2,1,4]=>0000000=>8
[4,6,2,7,8,5,3,1]=>0000000=>8
[4,6,2,1,7,8,5,3]=>0000000=>8
[7,4,5,8,1,2,6,3]=>0000000=>8
[2,5,1,7,3,8,6,4]=>0000000=>8
[6,7,2,1,3,8,5,4]=>0000000=>8
[5,1,6,7,8,2,4,3]=>0000000=>8
[6,3,7,1,8,5,2,4]=>0000000=>8
[6,2,1,7,3,8,5,4]=>0000000=>8
[6,2,7,1,8,5,4,3]=>0000000=>8
[6,3,1,7,8,5,4,2]=>0000000=>8
[4,1,3,6,8,2,5,7]=>0000000=>8
[4,2,3,6,8,1,5,7]=>0000000=>8
[5,3,2,1,8,4,7,6]=>0000000=>8
[3,6,5,8,2,1,7,4]=>0000000=>8
[4,5,2,1,3,8,7,6]=>0000100=>5
[3,2,6,4,5,8,1,7]=>0000000=>8
[2,4,6,5,8,1,3,7]=>0000000=>8
[1,6,2,4,5,8,3,7]=>1000000=>1
[5,3,2,1,6,8,4,7]=>0000000=>8
[6,2,4,5,8,1,3,7]=>0000000=>8
[1,3,4,6,5,8,2,7]=>1000000=>1
[1,6,3,4,5,8,2,7]=>1000000=>1
[3,4,1,8,5,2,7,6]=>0000000=>8
[2,8,4,1,7,6,3,5]=>0000000=>8
[8,1,4,2,7,3,6,5]=>0000000=>8
[1,5,3,2,8,7,4,6]=>1000000=>1
[8,2,1,7,5,3,4,6]=>0000000=>8
[1,7,6,4,5,8,3,2]=>1000000=>1
[5,8,7,4,1,2,6,3]=>0000000=>8
[5,8,7,4,6,2,1,3]=>0000000=>8
[3,4,2,5,8,6,7,1]=>0000000=>8
[4,1,3,5,6,8,7,2]=>0000000=>8
[2,4,8,6,7,1,3,5]=>0000000=>8
[4,3,6,2,8,1,7,5]=>0000000=>8
[3,7,4,8,2,1,6,5]=>0000000=>8
[2,3,5,8,6,7,1,4]=>0000000=>8
[3,2,5,6,8,7,1,4]=>0000000=>8
[2,1,8,5,6,7,3,4]=>0100000=>2
[1,2,8,3,5,6,7,4]=>1100000=>1
[4,2,3,7,1,8,6,5]=>0000000=>8
[3,2,6,4,8,1,7,5]=>0000000=>8
[8,2,1,6,7,3,4,5]=>0000000=>8
[2,7,8,5,4,1,3,6]=>0000000=>8
[1,7,5,3,8,4,2,6]=>1000000=>1
[4,7,5,3,1,2,8,6]=>0000000=>8
[7,2,4,8,5,3,1,6]=>0000000=>8
[4,8,3,1,2,7,6,5]=>0000000=>8
[3,5,2,7,4,1,8,6]=>0000000=>8
[8,4,2,3,7,1,5,6]=>0000000=>8
[2,8,4,7,1,3,5,6]=>0000000=>8
[8,2,4,6,7,1,3,5]=>0000000=>8
[4,8,2,3,6,7,1,5]=>0000000=>8
[3,5,2,7,6,1,8,4]=>0000000=>8
[1,6,3,2,5,8,7,4]=>1000000=>1
[5,8,3,2,1,6,7,4]=>0000000=>8
[5,8,7,3,4,6,2,1]=>0000000=>8
[5,8,2,7,4,1,6,3]=>0000000=>8
[5,1,4,2,8,7,6,3]=>0000000=>8
[4,7,6,5,8,2,1,3]=>0000000=>8
[5,3,7,1,6,2,8,4]=>0000000=>8
[5,2,6,8,7,1,3,4]=>0000000=>8
[6,3,2,1,8,5,7,4]=>0000000=>8
[2,7,5,4,1,8,6,3]=>0000000=>8
[4,2,5,6,8,7,1,3]=>0000000=>8
[1,8,4,2,5,6,7,3]=>1000000=>1
[3,8,4,1,5,6,7,2]=>0000000=>8
[4,2,8,5,6,7,1,3]=>0000000=>8
[5,2,4,7,1,8,6,3]=>0000000=>8
[5,3,4,7,1,8,6,2]=>0000000=>8
[8,6,4,1,3,2,5,7]=>0000000=>8
[8,1,3,6,5,2,4,7]=>0000000=>8
[8,1,4,3,6,5,2,7]=>0000000=>8
[3,6,5,2,1,8,7,4]=>0000000=>8
[8,3,2,4,6,5,1,7]=>0000000=>8
[8,4,2,1,6,5,3,7]=>0000000=>8
[8,4,1,2,6,5,3,7]=>0000000=>8
[8,6,4,2,1,5,3,7]=>0000000=>8
[8,3,6,4,1,5,2,7]=>0000000=>8
[8,2,6,3,4,5,1,7]=>0000000=>8
[1,3,4,8,5,7,2,6]=>1000000=>1
[5,8,4,7,6,2,3,1]=>0000000=>8
[1,3,4,7,5,8,2,6]=>1000000=>1
[1,3,5,2,4,8,7,6]=>1000100=>1
[2,6,5,1,3,8,7,4]=>0000000=>8
[4,7,1,6,5,8,3,2]=>0000000=>8
[5,4,8,7,6,3,1,2]=>0000000=>8
[2,8,5,1,4,7,6,3]=>0000000=>8
[4,3,1,5,8,6,7,2]=>0000000=>8
[4,1,3,5,8,6,7,2]=>0000000=>8
[6,5,3,8,4,7,1,2]=>0000000=>8
[5,4,2,1,6,8,7,3]=>0000000=>8
[6,8,4,3,2,7,1,5]=>0000000=>8
[3,4,7,8,2,1,6,5]=>0000000=>8
[5,1,3,2,8,6,7,4]=>0000000=>8
[5,3,1,2,8,6,7,4]=>0000000=>8
[5,2,3,1,6,8,7,4]=>0000000=>8
[5,3,2,1,8,6,7,4]=>0000000=>8
[5,2,1,3,6,8,7,4]=>0000000=>8
[2,4,7,3,8,1,6,5]=>0000000=>8
[6,3,8,2,7,4,1,5]=>0000000=>8
[8,2,1,3,6,4,7,5]=>0000000=>8
[3,5,1,7,8,4,2,6]=>0000000=>8
[2,7,4,5,8,3,1,6]=>0000000=>8
[1,8,4,3,7,2,6,5]=>1000000=>1
[3,4,8,7,2,1,6,5]=>0000000=>8
[5,4,7,8,3,6,2,1]=>0000000=>8
[6,4,3,8,7,2,1,5]=>0000000=>8
[6,3,8,7,4,1,2,5]=>0000000=>8
[3,5,7,2,4,8,1,6]=>0000000=>8
[8,4,7,2,3,1,5,6]=>0000000=>8
[8,4,7,1,3,2,5,6]=>0000000=>8
[8,4,7,2,1,3,5,6]=>0000000=>8
[8,6,4,2,1,3,7,5]=>0000000=>8
[8,6,4,1,3,2,7,5]=>0000000=>8
[8,6,4,2,3,1,7,5]=>0000000=>8
[3,5,7,2,6,1,8,4]=>0000000=>8
[6,1,3,8,5,7,2,4]=>0000000=>8
[5,8,3,2,6,7,1,4]=>0000000=>8
[4,8,5,3,6,2,7,1]=>0000000=>8
[2,8,1,5,4,7,6,3]=>0000000=>8
[1,5,8,7,4,6,2,3]=>1000000=>1
[2,1,7,6,4,5,8,3]=>0100000=>2
[1,7,2,4,6,5,8,3]=>1000000=>1
[3,5,1,7,6,8,2,4]=>0000000=>8
[5,8,2,6,1,3,7,4]=>0000000=>8
[6,3,5,8,7,2,1,4]=>0000000=>8
[2,5,7,8,4,1,6,3]=>0000000=>8
[4,2,8,1,5,6,7,3]=>0000000=>8
[4,1,5,2,6,8,7,3]=>0000000=>8
[3,4,5,1,6,8,7,2]=>0000000=>8
[4,2,8,5,1,6,7,3]=>0000000=>8
[4,1,8,5,2,6,7,3]=>0000000=>8
[2,7,1,8,5,4,6,3]=>0000000=>8
[5,8,6,2,1,3,7,4]=>0000000=>8
[8,2,4,1,5,6,7,3]=>0000000=>8
[4,6,3,5,8,1,7,2]=>0000000=>8
[1,7,8,3,5,4,6,2]=>1000000=>1
[3,4,5,1,8,6,7,2]=>0000000=>8
[3,8,1,4,5,6,7,2]=>0000000=>8
[3,4,6,2,8,5,1,7]=>0000000=>8
[3,5,6,2,8,4,1,7]=>0000000=>8
[3,5,7,2,4,8,6,1]=>0000000=>8
[3,5,7,8,4,1,6,2]=>0000000=>8
[3,6,8,2,4,5,1,7]=>0000000=>8
[3,7,2,1,4,8,6,5]=>0000000=>8
[3,7,2,8,4,5,6,1]=>0000000=>8
[4,1,5,7,3,8,6,2]=>0000000=>8
[4,1,6,3,7,8,5,2]=>0000000=>8
[4,1,6,3,8,5,2,7]=>0000000=>8
[4,1,6,8,3,5,2,7]=>0000000=>8
[4,1,8,3,2,5,6,7]=>0000000=>8
[4,5,7,3,8,1,6,2]=>0000000=>8
[4,5,8,3,2,1,6,7]=>0000000=>8
[4,6,2,7,8,5,1,3]=>0000000=>8
[4,7,8,3,2,5,6,1]=>0000000=>8
[5,1,2,6,8,4,3,7]=>0000000=>8
[5,1,6,3,8,4,2,7]=>0000000=>8
[5,1,6,7,4,8,2,3]=>0000000=>8
[5,6,2,7,8,4,1,3]=>0000000=>8
[5,7,8,3,4,2,6,1]=>0000000=>8
[6,1,2,3,7,8,5,4]=>0000000=>8
[6,1,2,7,8,5,4,3]=>0000000=>8
[6,7,2,8,4,5,3,1]=>0000000=>8
[7,1,8,3,4,5,6,2]=>0000000=>8
[1,3,5,7,2,6,4,8]=>1000001=>1
[3,5,8,6,1,2,4,7]=>0000000=>8
[3,1,6,8,2,4,7,5]=>0000000=>8
[2,6,1,3,8,4,7,5]=>0000000=>8
[1,6,7,5,3,2,4,8]=>1000001=>1
[8,4,1,2,5,6,3,7]=>0000000=>8
[1,7,3,6,5,2,4,8]=>1000001=>1
[8,2,3,6,5,1,7,4]=>0000000=>8
[7,9,8,6,5,4,3,2,1]=>00000000=>9
[6,9,8,7,5,4,3,2,1]=>00000000=>9
[5,9,8,7,6,4,3,2,1]=>00000000=>9
[4,9,8,7,6,5,3,2,1]=>00000000=>9
[3,9,8,7,6,5,4,2,1]=>00000000=>9
[2,9,8,7,6,5,4,3,1]=>00000000=>9
[8,10,9,7,6,5,4,3,2,1]=>000000000=>10
[6,9,7,8,5,4,3,2,1]=>00000000=>9
[7,10,9,8,6,5,4,3,2,1]=>000000000=>10
[4,8,6,5,7,3,2,1]=>0000000=>8
[5,9,8,6,7,4,3,2,1]=>00000000=>9
[6,10,9,8,7,5,4,3,2,1]=>000000000=>10
[3,8,7,5,4,6,2,1]=>0000000=>8
[4,8,5,6,7,3,2,1]=>0000000=>8
[4,9,8,7,5,6,3,2,1]=>00000000=>9
[5,10,9,8,7,6,4,3,2,1]=>000000000=>10
[2,8,7,6,4,3,5,1]=>0000000=>8
[3,8,7,4,5,6,2,1]=>0000000=>8
[3,9,8,7,6,4,5,2,1]=>00000000=>9
[4,10,9,8,7,6,5,3,2,1]=>000000000=>10
[1,8,7,6,5,3,2,4]=>1000000=>1
[2,8,7,6,3,4,5,1]=>0000000=>8
[2,9,8,7,6,5,3,4,1]=>00000000=>9
[3,10,9,8,7,6,5,4,2,1]=>000000000=>10
[1,8,7,6,5,2,3,4]=>1000000=>1
[1,9,8,7,6,5,4,2,3]=>10000000=>1
[2,10,9,8,7,6,5,4,3,1]=>000000000=>10
[7,2,8,6,5,4,1,3]=>0000000=>8
[6,3,2,8,5,1,7,4]=>0000000=>8
[6,8,5,4,3,1,7,2]=>0000000=>8
[3,6,1,8,5,2,7,4]=>0000000=>8
[3,4,1,2,8,6,7,5]=>0001000=>4
[7,2,5,8,3,6,1,4]=>0000000=>8
[7,6,3,8,5,2,1,4]=>0000000=>8
[7,2,6,4,8,3,1,5]=>0000000=>8
[1,5,7,4,2,6,3,8]=>1000001=>1
[4,2,3,1,7,8,5,6]=>0001000=>4
[5,2,8,4,1,7,6,3]=>0000000=>8
[6,8,3,4,5,1,7,2]=>0000000=>8
[1,6,3,2,5,8,4,7]=>1000000=>1
[8,3,2,1,5,4,7,6]=>0000000=>8
[6,3,7,1,5,8,4,2]=>0000000=>8
[2,5,1,8,4,3,7,6]=>0000000=>8
[6,2,5,4,8,1,3,7]=>0000000=>8
[4,3,1,6,5,8,2,7]=>0000000=>8
[1,3,5,4,6,8,2,7]=>1000000=>1
[6,1,3,4,5,8,2,7]=>0000000=>8
[8,3,4,1,5,2,7,6]=>0000000=>8
[7,5,4,2,6,8,3,1]=>0000000=>8
[8,2,6,4,1,7,3,5]=>0000000=>8
[7,3,8,4,5,2,1,6]=>0000000=>8
[7,2,5,1,8,4,3,6]=>0000000=>8
[1,7,3,2,5,4,8,6]=>1000000=>1
[8,7,2,1,5,3,4,6]=>0000000=>8
[3,6,1,5,8,7,4,2]=>0000000=>8
[8,3,6,4,5,1,7,2]=>0000000=>8
[5,4,6,8,1,2,7,3]=>0000000=>8
[6,4,7,2,3,5,8,1]=>0000000=>8
[6,8,4,1,3,5,7,2]=>0000000=>8
[3,4,7,8,6,2,5,1]=>0000000=>8
[4,1,3,5,7,8,6,2]=>0000000=>8
[6,5,1,8,4,7,3,2]=>0000000=>8
[5,3,1,8,4,7,6,2]=>0000000=>8
[8,2,7,4,6,1,3,5]=>0000000=>8
[4,7,3,2,8,1,6,5]=>0000000=>8
[6,3,1,4,7,2,8,5]=>0000000=>8
[8,7,3,6,1,5,2,4]=>0000000=>8
[7,4,3,6,8,2,5,1]=>0000000=>8
[2,4,7,3,8,5,6,1]=>0000000=>8
[2,8,6,1,5,7,3,4]=>0000000=>8
[7,8,2,5,4,3,1,6]=>0000000=>8
[1,8,3,4,2,7,6,5]=>1000000=>1
[8,5,3,7,4,2,6,1]=>0000000=>8
[5,7,3,2,4,1,8,6]=>0000000=>8
[2,8,3,4,7,1,5,6]=>0000000=>8
[4,1,3,6,7,8,2,5]=>0000000=>8
[1,7,6,3,2,5,8,4]=>1000000=>1
[3,8,1,5,6,2,7,4]=>0000000=>8
[8,2,5,6,1,7,4,3]=>0000000=>8
[7,1,5,2,8,6,4,3]=>0000000=>8
[6,5,4,8,7,2,1,3]=>0000000=>8
[1,8,6,4,5,2,7,3]=>1000000=>1
[1,8,5,3,6,2,7,4]=>1000000=>1
[3,6,2,1,7,5,8,4]=>0000000=>8
[2,5,4,1,8,7,6,3]=>0000000=>8
[4,7,2,6,5,8,1,3]=>0000000=>8
[6,8,1,4,2,7,3,5]=>0000000=>8
[6,3,4,7,1,8,2,5]=>0000000=>8
[3,4,7,8,2,5,6,1]=>0000000=>8
[1,8,2,4,5,6,7,3]=>1000000=>1
[5,2,4,1,6,8,7,3]=>0000000=>8
[3,2,5,7,6,1,8,4]=>0000000=>8
[4,3,5,6,1,8,7,2]=>0000000=>8
[5,3,4,1,7,6,8,2]=>0000000=>8
[3,1,4,6,5,7,8,2]=>0000000=>8
[1,4,7,3,5,6,8,2]=>1000000=>1
[5,1,3,6,4,8,7,2]=>0000000=>8
[1,3,2,7,5,8,6,4]=>1010000=>1
[1,4,2,5,8,3,7,6]=>1000000=>1
[1,4,2,7,8,5,6,3]=>1000000=>1
[5,1,2,6,8,4,7,3]=>0000000=>8
[3,1,2,6,5,8,4,7]=>0010000=>3
[4,1,2,6,8,5,3,7]=>0000000=>8
[1,5,2,4,8,7,6,3]=>1000000=>1
[1,2,6,4,8,7,5,3]=>1100000=>1
[1,2,7,4,8,6,5,3]=>1100000=>1
[1,3,2,7,5,8,4,6]=>1010000=>1
[2,3,1,7,5,4,8,6]=>0010000=>3
[1,3,2,8,5,7,4,6]=>1010000=>1
[1,4,2,5,8,7,3,6]=>1000000=>1
[1,5,2,4,8,7,3,6]=>1000000=>1
[1,2,6,4,8,7,3,5]=>1100000=>1
[1,2,7,8,5,6,3,4]=>1100000=>1
[1,2,6,8,5,7,3,4]=>1100000=>1
[1,5,6,8,2,7,3,4]=>1000000=>1
[1,3,8,2,6,7,4,5]=>1000000=>1
[1,4,7,2,8,6,3,5]=>1000000=>1
[1,6,7,8,2,5,3,4]=>1000000=>1
[1,2,6,8,3,7,5,4]=>1100000=>1
[1,5,7,8,2,3,6,4]=>1000000=>1
[1,5,2,7,8,4,6,3]=>1000000=>1
[1,4,7,2,8,3,6,5]=>1000000=>1
[1,3,6,2,4,8,7,5]=>1000000=>1
[1,6,7,3,4,8,5,2]=>1000000=>1
[1,5,3,7,4,8,6,2]=>1000000=>1
[2,8,4,1,5,3,7,6]=>0000000=>8
[3,8,4,1,5,7,2,6]=>0000000=>8
[1,3,6,4,2,8,7,5]=>1000000=>1
[1,3,7,4,2,8,6,5]=>1000000=>1
[1,3,8,4,2,7,6,5]=>1000000=>1
[1,2,8,4,7,3,6,5]=>1100000=>1
[1,2,7,4,8,3,6,5]=>1100000=>1
[1,2,6,4,8,3,7,5]=>1100000=>1
[1,5,2,4,8,3,7,6]=>1000000=>1
[1,8,4,5,7,2,3,6]=>1000000=>1
[1,8,3,5,2,7,4,6]=>1000000=>1
[2,8,3,5,1,4,7,6]=>0000000=>8
[2,3,8,6,1,4,7,5]=>0000000=>8
[1,3,8,6,2,7,4,5]=>1000000=>1
[1,4,8,6,7,2,3,5]=>1000000=>1
[1,5,6,8,7,2,3,4]=>1000000=>1
[1,2,6,8,5,3,7,4]=>1100000=>1
[1,2,7,8,5,3,6,4]=>1100000=>1
[1,2,5,8,7,3,6,4]=>1100000=>1
[1,2,6,8,7,3,5,4]=>1100000=>1
[1,2,7,8,6,3,5,4]=>1100000=>1
[1,6,7,8,5,2,3,4]=>1000000=>1
[1,5,7,8,6,2,3,4]=>1000000=>1
[1,4,7,6,8,2,3,5]=>1000000=>1
[1,3,7,6,2,8,4,5]=>1000000=>1
[2,3,8,7,4,1,6,5]=>0000000=>8
[1,2,8,4,7,6,3,5]=>1100000=>1
[1,2,5,8,7,6,3,4]=>1100000=>1
[1,2,6,8,7,5,3,4]=>1100000=>1
[1,2,7,8,6,5,3,4]=>1100000=>1
[5,2,6,7,3,4,8,1]=>0000000=>8
[5,2,4,7,6,3,8,1]=>0000000=>8
[5,6,2,1,7,8,3,4]=>0000000=>8
[5,6,2,1,4,8,7,3]=>0000000=>8
[2,6,1,4,5,8,7,3]=>0000000=>8
[5,4,2,7,6,3,8,1]=>0000000=>8
[2,3,7,6,4,5,8,1]=>0000000=>8
[2,6,1,7,5,8,3,4]=>0000000=>8
[2,6,1,7,4,8,5,3]=>0000000=>8
[5,1,2,7,8,4,3,6]=>0000000=>8
[2,6,1,7,4,8,3,5]=>0000000=>8
[3,6,4,1,7,8,2,5]=>0000000=>8
[5,4,6,1,3,8,7,2]=>0000000=>8
[3,6,4,1,5,8,7,2]=>0000000=>8
[2,6,1,5,4,8,7,3]=>0000000=>8
[2,6,1,4,7,8,5,3]=>0000000=>8
[5,1,2,4,8,6,7,3]=>0000000=>8
[5,1,2,4,8,7,3,6]=>0000000=>8
[5,1,2,4,8,7,6,3]=>0000000=>8
[1,2,3,8,5,4,7,6]=>1110000=>1
[4,3,1,2,8,5,7,6]=>0001000=>4
[2,1,5,3,8,6,4,7]=>0100000=>2
[1,2,3,8,5,6,4,7]=>1110000=>1
[1,2,3,8,6,4,5,7]=>1110000=>1
[1,2,3,8,6,5,4,7]=>1110000=>1
[1,2,3,8,5,4,6,7]=>1110000=>1
[2,6,1,5,4,8,3,7]=>0000000=>8
[5,1,2,4,8,6,3,7]=>0000000=>8
[5,1,2,4,8,3,7,6]=>0000000=>8
[5,6,3,1,4,8,2,7]=>0000000=>8
[2,5,4,3,1,8,6,7]=>0000100=>5
[5,4,6,3,1,8,7,2]=>0000000=>8
[3,6,4,5,1,8,7,2]=>0000000=>8
[3,6,5,4,1,8,7,2]=>0000000=>8
[5,2,6,1,7,8,4,3]=>0000000=>8
[5,1,6,2,8,7,3,4]=>0000000=>8
[2,1,3,7,8,6,4,5]=>0110000=>2
[2,1,3,7,8,5,6,4]=>0110000=>2
[5,2,4,1,7,8,6,3]=>0000000=>8
[4,3,1,2,8,6,7,5]=>0001000=>4
[5,1,4,2,8,6,7,3]=>0000000=>8
[2,1,3,6,8,5,7,4]=>0110000=>2
[1,2,3,8,6,7,4,5]=>1110000=>1
[1,2,3,8,7,5,4,6]=>1110000=>1
[1,2,3,8,7,4,5,6]=>1110000=>1
[1,2,3,8,5,7,4,6]=>1110000=>1
[2,1,3,6,8,7,4,5]=>0110000=>2
[5,4,1,2,8,7,6,3]=>0000000=>8
[3,1,6,2,8,7,5,4]=>0000000=>8
[1,2,3,4,5,9,6,7,8]=>11111000=>1
[1,2,3,4,9,5,6,7,8]=>11110000=>1
[1,2,3,9,4,5,6,7,8]=>11100000=>1
[1,2,9,3,4,5,6,7,8]=>11000000=>1
[1,2,3,4,5,6,7,10,8,9]=>111111100=>1
[1,2,3,4,5,6,10,7,8,9]=>111111000=>1
[1,2,3,4,5,10,6,7,8,9]=>111110000=>1
[1,2,3,4,10,5,6,7,8,9]=>111100000=>1
[1,8,3,4,2,5,6,7]=>1000000=>1
[1,2,3,10,4,5,6,7,8,9]=>111000000=>1
[1,8,4,3,2,5,6,7]=>1000000=>1
[1,2,10,3,4,5,6,7,8,9]=>110000000=>1
[8,5,7,4,6,3,2,1]=>0000000=>8
[8,1,7,4,6,5,3,2]=>0000000=>8
[8,2,7,3,6,5,4,1]=>0000000=>8
[8,3,7,2,6,5,4,1]=>0000000=>8
[8,5,7,2,6,4,3,1]=>0000000=>8
[8,4,7,1,6,5,3,2]=>0000000=>8
[8,3,7,1,6,5,4,2]=>0000000=>8
[8,2,7,1,6,5,4,3]=>0000000=>8
[8,1,7,2,6,5,4,3]=>0000000=>8
[8,1,7,6,5,3,4,2]=>0000000=>8
[8,3,7,6,5,2,4,1]=>0000000=>8
[8,4,7,6,5,2,3,1]=>0000000=>8
[8,5,7,6,4,2,3,1]=>0000000=>8
[8,3,7,6,5,1,4,2]=>0000000=>8
[8,7,6,1,5,2,4,3]=>0000000=>8
[6,8,1,3,2,5,4,7]=>0000000=>8
[6,8,1,4,2,5,3,7]=>0000000=>8
[7,8,3,6,1,4,2,5]=>0000000=>8
[7,8,2,5,3,6,1,4]=>0000000=>8
[7,8,2,5,1,4,3,6]=>0000000=>8
[7,8,1,4,3,6,2,5]=>0000000=>8
[5,8,1,4,3,7,2,6]=>0000000=>8
[6,8,2,5,1,4,3,7]=>0000000=>8
[6,8,2,5,3,7,1,4]=>0000000=>8
[6,8,2,5,4,7,1,3]=>0000000=>8
[2,5,4,7,6,8,1,3]=>0000000=>8
[2,5,3,7,6,8,1,4]=>0000000=>8
[2,5,1,4,3,7,6,8]=>0000101=>5
[2,6,1,4,3,7,5,8]=>0000001=>7
[2,6,5,8,1,4,3,7]=>0000000=>8
[2,6,1,5,3,7,4,8]=>0000001=>7
[2,6,3,7,4,8,1,5]=>0000000=>8
[2,6,4,7,5,8,1,3]=>0000000=>8
[5,8,3,6,4,7,1,2]=>0000000=>8
[5,8,2,6,4,7,1,3]=>0000000=>8
[4,8,2,6,3,7,1,5]=>0000000=>8
[4,8,1,5,3,7,2,6]=>0000000=>8
[4,8,1,5,2,6,3,7]=>0000000=>8
[4,8,3,7,1,5,2,6]=>0000000=>8
[6,8,3,7,1,4,2,5]=>0000000=>8
[5,8,1,3,2,6,4,7]=>0000000=>8
[5,8,4,7,1,3,2,6]=>0000000=>8
[6,8,4,7,1,3,2,5]=>0000000=>8
[6,8,5,7,1,3,2,4]=>0000000=>8
[5,7,6,8,2,4,1,3]=>0000000=>8
[4,7,6,8,1,3,2,5]=>0000000=>8
[4,7,5,8,1,3,2,6]=>0000000=>8
[4,7,1,3,2,6,5,8]=>0000001=>7
[3,7,1,4,2,6,5,8]=>0000001=>7
[3,7,5,8,1,4,2,6]=>0000000=>8
[3,7,6,8,1,4,2,5]=>0000000=>8
[3,7,6,8,2,5,1,4]=>0000000=>8
[4,7,6,8,2,5,1,3]=>0000000=>8
[4,7,5,8,3,6,1,2]=>0000000=>8
[4,7,5,8,2,6,1,3]=>0000000=>8
[3,7,5,8,2,6,1,4]=>0000000=>8
[3,7,4,8,2,6,1,5]=>0000000=>8
[3,7,4,8,1,5,2,6]=>0000000=>8
[3,7,1,5,2,6,4,8]=>0000001=>7
[3,7,2,6,1,5,4,8]=>0000001=>7
[3,7,2,6,5,8,1,4]=>0000000=>8
[4,7,3,6,5,8,1,2]=>0000000=>8
[3,6,5,8,4,7,1,2]=>0000000=>8
[2,6,5,8,4,7,1,3]=>0000000=>8
[2,6,5,8,3,7,1,4]=>0000000=>8
[2,6,3,7,1,5,4,8]=>0000001=>7
[7,6,4,2,8,5,3,1]=>0000000=>8
[7,6,4,3,8,2,5,1]=>0000000=>8
[7,6,4,8,5,2,3,1]=>0000000=>8
[6,8,4,3,7,2,1,5]=>0000000=>8
[6,7,4,3,5,1,8,2]=>0000000=>8
[6,7,3,5,4,8,2,1]=>0000000=>8
[6,8,3,7,5,2,4,1]=>0000000=>8
[7,6,8,3,5,2,4,1]=>0000000=>8
[7,6,3,5,8,2,4,1]=>0000000=>8
[7,6,3,5,2,4,8,1]=>0000000=>8
[7,6,4,2,5,1,8,3]=>0000000=>8
[7,6,2,8,4,1,5,3]=>0000000=>8
[7,6,3,8,2,4,1,5]=>0000000=>8
[7,6,3,4,8,2,5,1]=>0000000=>8
[6,8,3,7,4,5,2,1]=>0000000=>8
[6,7,3,5,8,4,2,1]=>0000000=>8
[5,7,8,3,6,2,1,4]=>0000000=>8
[5,8,3,6,7,2,1,4]=>0000000=>8
[6,3,4,8,7,2,5,1]=>0000000=>8
[6,3,8,4,7,2,1,5]=>0000000=>8
[6,2,8,4,1,7,5,3]=>0000000=>8
[6,2,7,4,1,5,3,8]=>0000001=>7
[6,3,4,7,5,8,2,1]=>0000000=>8
[6,3,5,7,8,4,2,1]=>0000000=>8
[5,7,3,6,8,2,1,4]=>0000000=>8
[5,6,8,3,7,2,1,4]=>0000000=>8
[5,6,7,3,4,1,8,2]=>0000000=>8
[4,6,7,8,3,5,2,1]=>0000000=>8
[4,6,8,3,5,7,2,1]=>0000000=>8
[4,7,3,5,6,8,2,1]=>0000000=>8
[4,7,3,5,8,2,6,1]=>0000000=>8
[5,3,4,7,8,2,1,6]=>0000000=>8
[5,3,8,2,4,1,6,7]=>0000000=>8
[5,3,4,8,2,6,1,7]=>0000000=>8
[4,8,3,6,2,5,7,1]=>0000000=>8
[4,8,3,5,7,2,6,1]=>0000000=>8
[4,8,3,5,6,7,2,1]=>0000000=>8
[4,7,8,3,5,6,2,1]=>0000000=>8
[4,7,8,3,6,2,5,1]=>0000000=>8
[4,8,3,6,7,2,5,1]=>0000000=>8
[4,8,3,7,2,5,6,1]=>0000000=>8
[5,3,4,8,2,7,6,1]=>0000000=>8
[5,3,8,2,4,1,7,6]=>0000000=>8
[5,2,8,4,1,7,3,6]=>0000000=>8
[6,4,2,5,1,8,7,3]=>0000000=>8
[6,4,3,5,8,2,1,7]=>0000000=>8
[6,3,5,8,7,2,4,1]=>0000000=>8
[5,8,3,7,2,6,4,1]=>0000000=>8
[5,7,3,4,8,2,1,6]=>0000000=>8
[5,8,4,2,3,1,6,7]=>0000000=>8
[5,8,4,2,3,1,7,6]=>0000000=>8
[6,4,5,3,8,2,1,7]=>0000000=>8
[6,4,8,5,3,7,2,1]=>0000000=>8
[6,4,3,8,5,7,2,1]=>0000000=>8
[6,4,2,8,5,3,1,7]=>0000000=>8
[6,4,2,7,3,1,8,5]=>0000000=>8
[6,4,3,7,8,5,2,1]=>0000000=>8
[6,4,5,3,7,1,8,2]=>0000000=>8
[5,7,4,2,3,1,6,8]=>0000001=>7
[5,6,3,7,1,8,2,4]=>0000000=>8
[5,6,3,4,7,1,8,2]=>0000000=>8
[5,6,3,4,8,2,1,7]=>0000000=>8
[6,3,5,7,4,8,2,1]=>0000000=>8
[6,3,5,4,7,8,2,1]=>0000000=>8
[6,4,3,5,7,1,8,2]=>0000000=>8
[6,4,2,5,1,7,3,8]=>0000001=>7
[5,3,7,2,4,1,6,8]=>0000001=>7
[5,3,4,7,2,6,1,8]=>0000001=>7
[4,7,3,6,2,5,8,1]=>0000000=>8
[4,7,3,6,8,2,5,1]=>0000000=>8
[4,6,7,3,5,8,2,1]=>0000000=>8
[4,5,7,8,3,6,2,1]=>0000000=>8
[4,5,8,3,6,7,2,1]=>0000000=>8
[4,5,8,3,7,2,6,1]=>0000000=>8
[5,3,4,6,8,2,1,7]=>0000000=>8
[5,3,6,8,2,1,4,7]=>0000000=>8
[5,3,6,7,1,8,2,4]=>0000000=>8
[5,3,4,6,7,1,8,2]=>0000000=>8
[4,6,3,5,7,8,2,1]=>0000000=>8
[4,5,7,3,6,8,2,1]=>0000000=>8
[4,5,6,8,3,7,2,1]=>0000000=>8
[5,7,4,8,6,3,2,1]=>0000000=>8
[3,2,6,5,1,8,7,4]=>0000000=>8
[3,5,6,7,2,8,4,1]=>0000000=>8
[7,6,9,8,5,4,3,2,1]=>00000000=>9
[6,5,4,9,8,7,3,2,1]=>00000000=>9
[6,8,5,9,7,4,3,2,1]=>00000000=>9
[6,7,8,9,5,4,3,2,1]=>00000000=>9
[5,4,3,2,9,8,7,6,1]=>00000000=>9
[5,8,4,3,9,7,6,2,1]=>00000000=>9
[5,4,7,6,9,8,3,2,1]=>00000000=>9
[5,7,8,4,9,6,3,2,1]=>00000000=>9
[5,6,7,8,9,4,3,2,1]=>00000000=>9
[4,8,3,2,1,9,7,6,5]=>00000000=>9
[4,3,7,6,2,9,8,5,1]=>00000000=>9
[4,7,8,3,2,9,6,5,1]=>00000000=>9
[4,6,3,8,5,9,7,2,1]=>00000000=>9
[4,6,7,8,3,9,5,2,1]=>00000000=>9
[4,5,6,7,8,9,3,2,1]=>00000000=>9
[3,2,1,6,5,4,9,8,7]=>00100100=>3
[3,6,2,8,5,1,9,7,4]=>00000000=>9
[3,6,7,8,2,1,9,5,4]=>00000000=>9
[3,2,5,4,7,6,9,8,1]=>00000000=>9
[3,5,7,2,8,4,9,6,1]=>00000000=>9
[3,5,6,7,8,2,9,4,1]=>00000000=>9
[3,4,5,6,7,8,9,2,1]=>00000000=>9
[2,4,6,7,1,8,3,9,5]=>00000000=>9
[2,4,5,6,7,8,1,9,3]=>00000000=>9
[8,7,10,9,6,5,4,3,2,1]=>000000000=>10
[8,9,10,7,6,5,4,3,2,1]=>000000000=>10
[7,6,5,10,9,8,4,3,2,1]=>000000000=>10
[7,9,6,10,8,5,4,3,2,1]=>000000000=>10
[7,8,9,10,6,5,4,3,2,1]=>000000000=>10
[6,5,4,3,10,9,8,7,2,1]=>000000000=>10
[6,9,5,4,10,8,7,3,2,1]=>000000000=>10
[6,5,8,7,10,9,4,3,2,1]=>000000000=>10
[6,8,9,5,10,7,4,3,2,1]=>000000000=>10
[5,4,3,2,1,10,9,8,7,6]=>000010000=>5
[5,9,4,3,2,10,8,7,6,1]=>000000000=>10
[5,4,8,7,3,10,9,6,2,1]=>000000000=>10
[5,8,9,4,3,10,7,6,2,1]=>000000000=>10
[5,7,4,9,6,10,8,3,2,1]=>000000000=>10
[5,6,7,8,9,10,4,3,2,1]=>000000000=>10
[4,3,8,7,2,1,10,9,6,5]=>000000000=>10
[4,8,9,3,2,1,10,7,6,5]=>000000000=>10
[4,3,2,7,6,5,10,9,8,1]=>000000000=>10
[4,7,3,9,6,2,10,8,5,1]=>000000000=>10
[4,7,8,9,3,2,10,6,5,1]=>000000000=>10
[4,3,6,5,8,7,10,9,2,1]=>000000000=>10
[4,6,7,8,9,3,10,5,2,1]=>000000000=>10
[4,5,6,7,8,9,10,3,2,1]=>000000000=>10
[3,6,2,1,9,5,4,10,8,7]=>000000000=>10
[3,2,6,5,8,7,1,10,9,4]=>000000000=>10
[3,6,8,2,9,5,1,10,7,4]=>000000000=>10
[3,6,7,8,9,2,1,10,5,4]=>000000000=>10
[3,5,7,8,2,9,4,10,6,1]=>000000000=>10
[3,5,6,7,8,9,2,10,4,1]=>000000000=>10
[3,4,5,6,7,8,9,10,2,1]=>000000000=>10
[2,4,6,1,8,3,9,5,10,7]=>000000000=>10
[2,4,6,7,8,1,9,3,10,5]=>000000000=>10
[2,4,5,6,7,8,9,1,10,3]=>000000000=>10
[1,6,2,5,3,4,8,7]=>1000010=>1
[1,3,8,2,4,6,5,7]=>1000000=>1
[1,7,2,3,6,4,8,5]=>1000000=>1
[1,6,8,2,5,3,7,4]=>1000000=>1
[1,8,2,5,3,4,7,6]=>1000000=>1
[1,8,2,3,6,4,7,5]=>1000000=>1
[1,3,5,2,8,4,7,6]=>1000000=>1
[1,2,7,3,5,4,6,8]=>1100001=>1
[1,8,2,7,3,4,6,5]=>1000000=>1
[1,5,8,2,3,7,4,6]=>1000000=>1
[1,6,8,2,3,5,4,7]=>1000000=>1
[7,1,5,8,4,2,3,6]=>0000000=>8
[7,1,4,5,8,2,3,6]=>0000000=>8
[2,1,7,5,8,3,4,6]=>0100000=>2
[7,1,5,4,8,2,3,6]=>0000000=>8
[8,3,7,1,2,4,6,5]=>0000000=>8
[8,3,7,5,1,2,4,6]=>0000000=>8
[6,7,1,8,4,2,3,5]=>0000000=>8
[6,8,1,7,4,2,3,5]=>0000000=>8
[7,1,8,4,5,2,3,6]=>0000000=>8
[2,1,7,8,5,3,4,6]=>0100000=>2
[6,1,2,3,8,7,5,4]=>0000000=>8
[6,8,1,4,2,3,7,5]=>0000000=>8
[6,8,3,1,2,7,4,5]=>0000000=>8
[6,7,3,1,2,8,4,5]=>0000000=>8
[6,7,1,4,2,3,8,5]=>0000000=>8
[4,3,6,8,5,7,1,2]=>0000000=>8
[6,1,2,5,4,8,3,7]=>0000000=>8
[7,2,1,5,8,3,4,6]=>0000000=>8
[1,3,6,8,7,4,2,5]=>1000000=>1
[1,2,8,5,7,3,4,6]=>1100000=>1
[2,6,1,5,8,3,4,7]=>0000000=>8
[5,7,1,6,8,4,3,2]=>0000000=>8
[4,8,1,2,5,7,3,6]=>0000000=>8
[8,4,6,2,5,7,3,1]=>0000000=>8
[8,3,6,4,7,2,5,1]=>0000000=>8
[3,8,1,4,7,2,5,6]=>0000000=>8
[1,7,8,4,6,2,5,3]=>1000000=>1
[3,7,4,8,5,1,6,2]=>0000000=>8
[3,7,1,6,5,4,8,2]=>0000000=>8
[2,7,3,1,5,8,4,6]=>0000000=>8
[2,7,4,6,8,1,3,5]=>0000000=>8
[2,7,5,8,6,4,1,3]=>0000000=>8
[8,2,6,7,5,4,3,1]=>0000000=>8
[3,8,7,1,6,4,5,2]=>0000000=>8
[3,6,8,2,7,4,1,5]=>0000000=>8
[1,5,2,8,7,4,6,3]=>1000000=>1
[3,4,2,7,8,1,6,5]=>0000000=>8
[4,1,3,7,5,6,8,2]=>0000000=>8
[6,3,8,1,7,4,2,5]=>0000000=>8
[6,5,8,7,1,4,2,3]=>0000000=>8
[4,1,7,3,8,5,2,6]=>0000000=>8
[3,6,1,4,5,8,2,7]=>0000000=>8
[1,6,7,4,5,3,8,2]=>1000000=>1
[6,1,7,3,5,4,8,2]=>0000000=>8
[6,3,1,2,5,8,4,7]=>0000000=>8
[1,4,7,2,8,5,3,6]=>1000000=>1
[5,6,8,7,2,4,1,3]=>0000000=>8
[6,8,5,7,1,2,4,3]=>0000000=>8
[2,8,4,1,7,5,6,3]=>0000000=>8
[8,2,4,3,7,5,6,1]=>0000000=>8
[6,8,2,1,5,7,3,4]=>0000000=>8
[7,2,8,4,1,6,3,5]=>0000000=>8
[1,2,4,8,6,5,3,7]=>1100000=>1
[7,1,5,6,8,4,3,2]=>0000000=>8
[2,7,8,1,4,6,3,5]=>0000000=>8
[4,8,2,5,7,1,6,3]=>0000000=>8
[4,1,6,8,5,3,7,2]=>0000000=>8
[5,2,6,4,8,3,1,7]=>0000000=>8
[6,7,1,3,4,5,8,2]=>0000000=>8
[1,7,3,2,4,8,5,6]=>1000000=>1
[1,3,6,5,2,8,4,7]=>1000000=>1
[7,1,6,5,3,4,8,2]=>0000000=>8
[6,8,7,4,2,3,5,1]=>0000000=>8
[8,6,1,3,5,4,2,7]=>0000000=>8
[5,3,8,6,1,2,4,7]=>0000000=>8
[3,8,7,2,6,4,5,1]=>0000000=>8
[6,3,5,4,8,7,2,1]=>0000000=>8
[8,5,2,7,1,4,3,6]=>0000000=>8
[5,1,8,6,3,4,2,7]=>0000000=>8
[8,2,3,7,6,4,5,1]=>0000000=>8
[7,2,5,6,4,8,1,3]=>0000000=>8
[1,6,7,4,8,2,3,5]=>1000000=>1
[8,2,1,3,5,6,7,4]=>0000000=>8
[4,1,3,8,2,6,7,5]=>0000000=>8
[3,6,1,4,7,2,8,5]=>0000000=>8
[6,2,7,4,5,8,1,3]=>0000000=>8
[1,8,5,7,3,2,4,6]=>1000000=>1
[2,7,4,1,5,3,8,6]=>0000000=>8
[7,4,8,6,2,3,1,5]=>0000000=>8
[7,1,3,2,8,5,4,6]=>0000000=>8
[5,1,7,4,2,3,8,6]=>0000000=>8
[4,1,8,6,5,3,2,7]=>0000000=>8
[5,7,4,3,6,2,8,1]=>0000000=>8
[6,7,5,1,2,8,3,4]=>0000000=>8
[5,2,6,8,3,4,7,1]=>0000000=>8
[3,6,8,4,7,2,5,1]=>0000000=>8
[6,2,7,5,8,3,1,4]=>0000000=>8
[2,1,5,6,8,3,7,4]=>0100000=>2
[1,6,8,3,2,7,4,5]=>1000000=>1
[6,5,7,2,8,4,1,3]=>0000000=>8
[5,7,3,6,4,8,2,1]=>0000000=>8
[3,6,1,4,2,7,8,5]=>0000000=>8
[1,2,6,3,5,8,7,4]=>1100000=>1
[2,3,5,1,8,4,7,6]=>0000000=>8
[2,3,6,1,8,5,4,7]=>0000000=>8
[3,1,7,5,4,8,6,2]=>0000000=>8
[1,2,7,6,4,8,5,3]=>1100000=>1
[1,2,7,3,6,8,5,4]=>1100000=>1
[2,3,6,1,8,5,7,4]=>0000000=>8
[1,2,5,8,4,7,3,6]=>1100000=>1
[1,3,6,8,5,2,7,4]=>1000000=>1
[1,2,6,8,5,4,3,7]=>1100000=>1
[1,3,5,8,2,4,7,6]=>1000000=>1
[1,4,6,8,3,2,5,7]=>1000000=>1
[1,3,7,5,6,8,2,4]=>1000000=>1
[1,2,6,7,3,8,5,4]=>1100000=>1
[1,2,5,7,3,8,6,4]=>1100000=>1
[2,3,6,5,8,7,1,4]=>0000000=>8
[1,2,7,5,6,8,4,3]=>1100000=>1
[3,1,6,7,5,8,4,2]=>0000000=>8
[4,6,2,7,5,8,3,1]=>0000000=>8
[3,5,7,4,8,2,6,1]=>0000000=>8
[1,4,6,8,3,5,7,2]=>1000000=>1
[1,3,5,8,2,7,4,6]=>1000000=>1
[1,2,5,8,4,7,6,3]=>1100000=>1
[1,2,5,8,7,4,3,6]=>1100000=>1
[1,3,5,8,7,2,4,6]=>1000000=>1
[6,4,5,7,2,8,1,3]=>0000000=>8
[5,3,4,7,2,8,1,6]=>0000000=>8
[3,2,7,4,6,8,1,5]=>0000000=>8
[5,3,6,2,7,1,4,8]=>0000001=>7
[2,6,3,4,7,1,5,8]=>0000001=>7
[2,7,3,4,5,8,1,6]=>0000000=>8
[3,7,4,5,6,8,1,2]=>0000000=>8
[2,5,7,3,6,8,1,4]=>0000000=>8
[4,7,6,2,3,8,1,5]=>0000000=>8
[7,3,5,2,4,8,1,6]=>0000000=>8
[7,6,2,4,5,8,1,3]=>0000000=>8
[6,5,2,3,4,8,1,7]=>0000000=>8
[5,3,1,2,8,4,7,6]=>0000000=>8
[6,5,2,3,7,1,4,8]=>0000001=>7
[5,2,1,7,3,4,6,8]=>0000001=>7
[5,2,1,8,3,4,6,7]=>0000000=>8
[6,3,2,8,4,5,7,1]=>0000000=>8
[7,3,1,2,8,4,6,5]=>0000000=>8
[6,4,1,3,8,5,7,2]=>0000000=>8
[6,2,3,1,8,4,7,5]=>0000000=>8
[8,3,5,2,7,1,4,6]=>0000000=>8
[8,6,2,4,7,1,5,3]=>0000000=>8
[8,5,2,3,6,1,4,7]=>0000000=>8
[8,2,1,7,3,4,5,6]=>0000000=>8
[8,6,3,7,2,4,5,1]=>0000000=>8
[7,1,6,2,3,4,5,8]=>0000001=>7
[8,2,7,3,4,5,6,1]=>0000000=>8
[8,1,6,2,3,4,5,7]=>0000000=>8
[8,1,7,3,4,5,6,2]=>0000000=>8
[8,6,1,7,2,4,5,3]=>0000000=>8
[8,1,5,7,2,3,6,4]=>0000000=>8
[1,7,5,8,2,3,6,4]=>1000000=>1
[7,2,1,8,3,4,5,6]=>0000000=>8
[7,3,8,2,4,5,6,1]=>0000000=>8
[7,2,8,3,4,5,6,1]=>0000000=>8
[1,7,8,3,4,5,6,2]=>1000000=>1
[1,4,5,8,3,6,7,2]=>1000000=>1
[2,5,7,1,8,3,6,4]=>0000000=>8
[6,2,7,1,8,4,5,3]=>0000000=>8
[4,7,1,3,8,5,6,2]=>0000000=>8
[1,6,2,8,4,5,7,3]=>1000000=>1
[4,1,3,6,8,2,7,5]=>0000000=>8
[5,3,4,6,8,2,7,1]=>0000000=>8
[4,6,3,8,7,1,2,5]=>0000000=>8
[6,4,5,8,7,1,2,3]=>0000000=>8
[5,3,4,8,7,1,2,6]=>0000000=>8
[3,2,8,7,1,4,6,5]=>0000000=>8
[3,1,8,7,2,4,6,5]=>0000000=>8
[5,3,7,6,1,2,4,8]=>0000001=>7
[1,8,3,7,2,4,5,6]=>1000000=>1
[3,8,1,7,2,4,5,6]=>0000000=>8
[6,8,2,3,5,1,4,7]=>0000000=>8
[4,7,8,2,6,1,3,5]=>0000000=>8
[6,2,8,7,1,4,5,3]=>0000000=>8
[3,8,7,1,4,5,6,2]=>0000000=>8
[2,8,6,1,3,4,5,7]=>0000000=>8
[2,7,6,1,3,4,5,8]=>0000001=>7
[1,7,6,2,3,4,5,8]=>1000001=>1
[1,8,6,2,3,4,5,7]=>1000000=>1
[2,8,7,3,4,5,6,1]=>0000000=>8
[3,8,7,2,4,5,6,1]=>0000000=>8
[7,8,3,6,2,4,5,1]=>0000000=>8
[1,5,8,7,2,3,6,4]=>1000000=>1
[8,7,6,1,3,4,5,2]=>0000000=>8
[3,6,2,4,7,1,8,5]=>0000000=>8
[3,4,7,2,5,1,8,6]=>0000000=>8
[2,1,6,4,8,5,3,7]=>0100000=>2
[4,1,8,5,3,2,7,6]=>0000000=>8
[3,6,2,5,7,1,4,8]=>0000001=>7
[1,2,8,3,7,5,4,6]=>1100000=>1
[6,1,3,2,8,5,4,7]=>0000000=>8
[5,6,1,2,8,4,3,7]=>0000000=>8
[1,6,3,8,7,4,2,5]=>1000000=>1
[4,3,8,1,2,6,7,5]=>0000000=>8
[7,8,10,9,5,6,3,4,1,2]=>000000000=>10
[9,10,5,6,8,7,3,4,1,2]=>000000000=>10
[5,8,10,6,9,7,3,4,1,2]=>000000000=>10
[5,6,7,10,9,8,3,4,1,2]=>000000000=>10
[9,10,7,8,3,4,6,5,1,2]=>000000000=>10
[7,8,10,9,3,4,6,5,1,2]=>000000000=>10
[9,10,3,6,8,4,7,5,1,2]=>000000000=>10
[3,8,10,6,9,4,7,5,1,2]=>000000000=>10
[3,6,7,10,9,4,8,5,1,2]=>000000000=>10
[9,10,3,4,5,8,7,6,1,2]=>000000000=>10
[3,8,10,4,5,9,7,6,1,2]=>000000000=>10
[3,4,7,10,5,9,8,6,1,2]=>000000000=>10
[3,4,5,6,10,9,8,7,1,2]=>000000000=>10
[9,10,7,8,5,6,1,2,4,3]=>000000000=>10
[7,8,10,9,5,6,1,2,4,3]=>000000000=>10
[9,10,5,6,8,7,1,2,4,3]=>000000000=>10
[5,8,10,6,9,7,1,2,4,3]=>000000000=>10
[5,6,7,10,9,8,1,2,4,3]=>000000000=>10
[9,10,7,8,1,4,6,2,5,3]=>000000000=>10
[7,8,10,9,1,4,6,2,5,3]=>000000000=>10
[9,10,1,6,8,4,7,2,5,3]=>000000000=>10
[1,8,10,6,9,4,7,2,5,3]=>100000000=>1
[1,6,7,10,9,4,8,2,5,3]=>100000000=>1
[9,10,1,4,5,8,7,2,6,3]=>000000000=>10
[1,8,10,4,5,9,7,2,6,3]=>100000000=>1
[1,4,7,10,5,9,8,2,6,3]=>100000000=>1
[1,4,5,6,10,9,8,2,7,3]=>100000000=>1
[9,10,7,8,1,2,3,6,5,4]=>000000000=>10
[7,8,10,9,1,2,3,6,5,4]=>000000000=>10
[9,10,1,6,8,2,3,7,5,4]=>000000000=>10
[1,8,10,6,9,2,3,7,5,4]=>100000000=>1
[1,6,7,10,9,2,3,8,5,4]=>100000000=>1
[9,10,1,2,5,8,3,7,6,4]=>000000000=>10
[1,8,10,2,5,9,3,7,6,4]=>100000000=>1
[1,2,7,10,5,9,3,8,6,4]=>110000000=>1
[1,2,5,6,10,9,3,8,7,4]=>110000000=>1
[9,10,1,2,3,4,8,7,6,5]=>000000000=>10
[1,8,10,2,3,4,9,7,6,5]=>100000000=>1
[1,2,7,10,3,4,9,8,6,5]=>110000000=>1
[1,2,3,6,10,4,9,8,7,5]=>111000000=>1
[1,2,3,4,5,10,9,8,7,6]=>111110000=>1
[1,10,12,8,11,6,9,4,7,2,5,3]=>10000000000=>1
[1,8,9,12,11,6,10,4,7,2,5,3]=>10000000000=>1
[1,10,12,6,7,11,9,4,8,2,5,3]=>10000000000=>1
[1,6,9,12,7,11,10,4,8,2,5,3]=>10000000000=>1
[1,6,7,8,12,11,10,4,9,2,5,3]=>10000000000=>1
[1,10,12,8,11,4,5,9,7,2,6,3]=>10000000000=>1
[1,8,9,12,11,4,5,10,7,2,6,3]=>10000000000=>1
[1,10,12,4,7,11,5,9,8,2,6,3]=>10000000000=>1
[1,4,9,12,7,11,5,10,8,2,6,3]=>10000000000=>1
[1,4,7,8,12,11,5,10,9,2,6,3]=>10000000000=>1
[1,10,12,4,5,6,11,9,8,2,7,3]=>10000000000=>1
[1,4,9,12,5,6,11,10,8,2,7,3]=>10000000000=>1
[1,4,5,8,12,6,11,10,9,2,7,3]=>10000000000=>1
[1,4,5,6,7,12,11,10,9,2,8,3]=>10000000000=>1
[1,10,12,8,11,6,9,2,3,7,5,4]=>10000000000=>1
[1,8,9,12,11,6,10,2,3,7,5,4]=>10000000000=>1
[1,10,12,6,7,11,9,2,3,8,5,4]=>10000000000=>1
[1,6,9,12,7,11,10,2,3,8,5,4]=>10000000000=>1
[1,6,7,8,12,11,10,2,3,9,5,4]=>10000000000=>1
[1,10,12,8,11,2,5,9,3,7,6,4]=>10000000000=>1
[1,8,9,12,11,2,5,10,3,7,6,4]=>10000000000=>1
[1,10,12,2,7,11,5,9,3,8,6,4]=>10000000000=>1
[1,10,12,2,5,6,11,9,3,8,7,4]=>10000000000=>1
[1,10,12,8,11,2,3,4,9,7,6,5]=>10000000000=>1
[1,8,9,12,11,2,3,4,10,7,6,5]=>10000000000=>1
[1,10,12,2,7,11,3,4,9,8,6,5]=>10000000000=>1
[1,10,12,2,3,6,11,4,9,8,7,5]=>10000000000=>1
[1,10,12,2,3,4,5,11,9,8,7,6]=>10000000000=>1
[3,1,2,4,5,6,7,8,9]=>00111111=>3
[2,4,1,3,5,6,7,8,9]=>00011111=>4
[2,3,5,1,4,6,7,8,9]=>00001111=>5
[2,3,4,6,1,5,7,8,9]=>00000111=>6
[2,3,4,5,7,1,6,8,9]=>00000011=>7
[2,3,4,5,6,8,1,7,9]=>00000001=>8
[3,6,8,7,1,2,5,4]=>0000000=>8
[6,5,7,2,4,8,1,3]=>0000000=>8
[3,4,1,6,5,8,7,2]=>0000000=>8
[3,5,1,2,4,8,7,6]=>0000100=>5
[3,7,5,2,1,4,6,8]=>0000001=>7
[3,8,5,2,7,4,1,6]=>0000000=>8
[5,2,8,4,7,3,1,6]=>0000000=>8
[5,2,7,4,1,3,6,8]=>0000001=>7
[4,3,5,1,2,8,7,6]=>0000100=>5
[3,1,4,6,2,8,7,5]=>0000000=>8
[1,4,6,5,2,8,7,3]=>1000000=>1
[3,4,5,6,1,8,7,2]=>0000000=>8
[3,4,5,8,7,2,1,6]=>0000000=>8
[1,4,7,2,6,3,5,8]=>1000001=>1
[8,4,7,5,2,1,6,3]=>0000000=>8
[8,1,4,7,2,3,6,5]=>0000000=>8
[1,8,5,7,3,4,6,2]=>1000000=>1
[6,3,5,1,7,4,2,8]=>0000001=>7
[6,1,4,8,7,3,2,5]=>0000000=>8
[6,4,8,5,7,1,2,3]=>0000000=>8
[5,4,8,1,6,3,2,7]=>0000000=>8
[1,4,8,6,3,7,2,5]=>1000000=>1
[5,4,7,6,3,8,1,2]=>0000000=>8
[4,6,3,7,5,8,1,2]=>0000000=>8
[4,1,3,5,8,6,2,7]=>0000000=>8
[5,7,4,3,8,1,2,6]=>0000000=>8
[1,4,8,3,7,6,5,2]=>1000000=>1
[4,3,8,2,1,6,5,7]=>0000000=>8
[3,8,4,2,7,1,5,6]=>0000000=>8
[3,1,2,5,7,6,4,8]=>0010001=>3
[1,8,2,7,6,5,4,3]=>1000000=>1
[3,8,1,6,7,5,4,2]=>0000000=>8
[3,7,2,6,8,5,1,4]=>0000000=>8
[7,2,3,8,5,6,1,4]=>0000000=>8
[8,2,1,7,5,6,4,3]=>0000000=>8
[8,1,3,6,5,7,4,2]=>0000000=>8
[8,2,4,3,6,1,5,7]=>0000000=>8
[1,7,8,5,4,3,6,2]=>1000000=>1
[1,8,4,5,3,2,6,7]=>1000000=>1
[7,8,5,4,3,1,6,2]=>0000000=>8
[7,1,6,3,4,2,5,8]=>0000001=>7
[6,8,7,1,4,2,5,3]=>0000000=>8
[3,6,1,4,2,7,5,8]=>0000001=>7
[3,4,1,8,5,7,6,2]=>0000000=>8
[3,6,5,1,2,8,4,7]=>0000000=>8
[3,8,5,6,7,2,1,4]=>0000000=>8
[8,1,7,6,2,4,3,5]=>0000000=>8
[8,5,6,1,4,2,3,7]=>0000000=>8
[8,6,5,4,7,1,3,2]=>0000000=>8
[1,6,4,5,7,2,3,8]=>1000001=>1
[8,3,6,1,7,2,4,5]=>0000000=>8
[1,8,6,5,7,3,4,2]=>1000000=>1
[1,7,5,3,6,8,4,2]=>1000000=>1
[7,4,1,6,5,8,3,2]=>0000000=>8
[4,1,5,8,7,6,3,2]=>0000000=>8
[1,2,5,8,6,7,3,4]=>1100000=>1
[4,2,1,5,8,7,3,6]=>0000000=>8
[5,2,4,6,1,7,3,8]=>0000001=>7
[1,5,3,6,8,7,4,2]=>1000000=>1
[3,5,4,6,1,8,2,7]=>0000000=>8
[3,1,5,7,6,8,2,4]=>0000000=>8
[1,4,5,6,8,7,2,3]=>1000000=>1
[1,4,6,3,7,2,8,5]=>1000000=>1
[1,7,3,6,5,2,8,4]=>1000000=>1
[8,6,2,5,4,1,7,3]=>0000000=>8
[3,7,2,6,5,4,1,8]=>0000001=>7
[7,6,2,5,4,3,1,8]=>0000001=>7
[4,7,5,2,6,3,1,8]=>0000001=>7
[3,2,6,4,7,5,1,8]=>0000001=>7
[6,2,3,7,5,4,1,8]=>0000001=>7
[1,3,4,7,6,2,8,5]=>1000000=>1
[2,8,3,6,1,7,5,4]=>0000000=>8
[8,7,2,5,1,6,4,3]=>0000000=>8
[3,8,2,6,5,1,7,4]=>0000000=>8
[7,8,2,5,4,1,6,3]=>0000000=>8
[4,8,5,2,6,1,7,3]=>0000000=>8
[4,5,1,3,7,2,8,6]=>0000000=>8
[6,1,3,7,5,2,8,4]=>0000000=>8
[7,1,3,6,2,8,5,4]=>0000000=>8
[8,1,3,6,2,7,5,4]=>0000000=>8
[1,2,4,7,3,8,6,5]=>1100000=>1
[7,1,8,2,6,5,4,3]=>0000000=>8
[3,1,8,6,2,7,5,4]=>0000000=>8
[4,1,7,8,2,6,5,3]=>0000000=>8
[5,6,1,8,2,7,4,3]=>0000000=>8
[4,2,7,8,1,6,5,3]=>0000000=>8
[3,2,8,6,1,7,5,4]=>0000000=>8
[7,2,8,1,6,5,4,3]=>0000000=>8
[1,8,7,2,6,5,4,3]=>1000000=>1
[2,8,7,1,6,5,4,3]=>0000000=>8
[3,8,7,1,6,5,4,2]=>0000000=>8
[4,8,7,5,1,6,3,2]=>0000000=>8
[6,7,8,5,1,4,3,2]=>0000000=>8
[5,6,3,8,4,1,7,2]=>0000000=>8
[7,3,8,5,4,1,6,2]=>0000000=>8
[3,4,8,6,5,1,7,2]=>0000000=>8
[8,3,7,5,1,6,4,2]=>0000000=>8
[1,4,8,6,2,7,5,3]=>1000000=>1
[8,4,6,7,1,5,3,2]=>0000000=>8
[5,6,4,7,8,1,3,2]=>0000000=>8
[3,4,6,5,1,2,8,7]=>0000010=>6
[7,3,5,1,2,8,6,4]=>0000000=>8
[1,4,6,2,3,8,7,5]=>1000000=>1
[1,3,2,7,4,8,6,5]=>1010000=>1
[7,2,1,6,3,8,5,4]=>0000000=>8
[2,3,1,7,6,4,8,5]=>0010000=>3
[4,5,2,1,7,3,8,6]=>0000000=>8
[5,6,7,1,2,8,4,3]=>0000000=>8
[4,7,5,1,2,8,6,3]=>0000000=>8
[3,7,1,6,2,8,5,4]=>0000000=>8
[7,6,1,2,8,5,4,3]=>0000000=>8
[2,7,1,3,8,6,5,4]=>0000000=>8
[8,6,1,2,7,5,4,3]=>0000000=>8
[1,7,2,3,8,6,5,4]=>1000000=>1
[8,7,1,2,6,5,4,3]=>0000000=>8
[7,8,1,2,6,5,4,3]=>0000000=>8
[3,8,1,6,2,7,5,4]=>0000000=>8
[4,8,5,1,2,7,6,3]=>0000000=>8
[5,6,8,1,2,7,4,3]=>0000000=>8
[2,1,3,7,4,8,6,5]=>0110000=>2
[4,2,7,3,6,8,1,5]=>0000000=>8
[5,3,6,4,2,8,1,7]=>0000000=>8
[4,1,5,3,8,2,7,6]=>0000000=>8
[5,2,6,4,7,3,1,8]=>0000001=>7
[2,6,3,4,7,5,1,8]=>0000001=>7
[2,6,3,5,4,8,1,7]=>0000000=>8
[2,7,4,3,5,8,1,6]=>0000000=>8
[7,3,6,4,2,8,1,5]=>0000000=>8
[7,6,4,5,2,8,1,3]=>0000000=>8
[5,4,3,1,8,2,7,6]=>0000000=>8
[6,5,4,2,7,3,1,8]=>0000001=>7
[5,4,1,7,2,6,3,8]=>0000001=>7
[5,4,1,8,3,2,6,7]=>0000000=>8
[6,5,2,8,3,4,7,1]=>0000000=>8
[7,4,2,1,8,3,6,5]=>0000000=>8
[6,5,3,4,8,2,7,1]=>0000000=>8
[6,1,5,3,8,2,7,4]=>0000000=>8
[4,6,3,1,8,2,7,5]=>0000000=>8
[5,8,4,2,7,3,1,6]=>0000000=>8
[8,2,6,4,7,3,1,5]=>0000000=>8
[8,6,2,5,7,4,1,3]=>0000000=>8
[8,5,3,2,6,4,1,7]=>0000000=>8
[8,3,1,7,2,5,4,6]=>0000000=>8
[7,5,2,6,4,3,1,8]=>0000001=>7
[7,1,6,2,5,4,3,8]=>0000001=>7
[8,1,7,3,5,6,4,2]=>0000000=>8
[8,6,1,7,4,5,2,3]=>0000000=>8
[8,1,3,7,2,6,5,4]=>0000000=>8
[1,7,6,8,3,2,4,5]=>1000000=>1
[7,1,5,8,4,2,6,3]=>0000000=>8
[7,3,8,4,5,2,6,1]=>0000000=>8
[7,2,8,5,3,4,6,1]=>0000000=>8
[6,1,8,4,3,2,5,7]=>0000000=>8
[6,1,7,4,2,5,3,8]=>0000001=>7
[1,2,7,3,4,6,5,8]=>1100001=>1
[1,7,8,4,3,5,6,2]=>1000000=>1
[1,6,2,8,3,5,7,4]=>1000000=>1
[2,6,1,7,3,5,4,8]=>0000001=>7
[3,1,5,8,4,2,6,7]=>0000000=>8
[4,3,1,6,8,2,7,5]=>0000000=>8
[5,7,4,8,3,2,1,6]=>0000000=>8
[5,4,8,2,7,3,1,6]=>0000000=>8
[5,2,8,7,3,4,1,6]=>0000000=>8
[6,4,7,5,3,2,1,8]=>0000001=>7
[1,8,3,7,6,2,4,5]=>1000000=>1
[5,8,3,2,6,4,1,7]=>0000000=>8
[6,8,2,4,7,5,1,3]=>0000000=>8
[7,3,8,2,6,4,1,5]=>0000000=>8
[4,6,8,2,7,3,1,5]=>0000000=>8
[2,6,8,7,3,4,1,5]=>0000000=>8
[7,2,8,6,3,5,1,4]=>0000000=>8
[6,8,1,7,2,5,4,3]=>0000000=>8
[3,8,7,4,5,6,1,2]=>0000000=>8
[2,8,6,4,3,5,1,7]=>0000000=>8
[2,7,6,3,5,4,1,8]=>0000001=>7
[1,7,6,5,2,4,3,8]=>1000001=>1
[1,8,6,5,3,2,4,7]=>1000000=>1
[3,8,7,4,6,2,5,1]=>0000000=>8
[5,8,3,7,6,2,4,1]=>0000000=>8
[7,1,8,6,5,2,3,4]=>0000000=>8
[8,4,7,5,3,2,1,6]=>0000000=>8
[8,7,2,5,4,3,1,6]=>0000000=>8
[1,5,7,8,4,3,6,2]=>1000000=>1
[6,2,1,8,5,4,7,3]=>0000000=>8
[2,6,5,7,4,1,3,8]=>0000001=>7
[2,5,6,8,4,3,7,1]=>0000000=>8
[5,2,1,8,7,6,4,3]=>0000000=>8
[4,8,6,7,5,3,1,2]=>0000000=>8
[6,5,4,8,2,1,7,3]=>0000000=>8
[5,8,4,7,2,6,3,1]=>0000000=>8
[5,8,3,2,7,6,4,1]=>0000000=>8
[5,2,1,4,3,6,7,8]=>0000111=>5
[3,5,7,4,2,6,1,8]=>0000001=>7
[4,2,1,6,5,3,7,8]=>0000011=>6
[4,2,1,5,7,6,3,8]=>0000001=>7
[3,5,4,7,1,6,2,8]=>0000001=>7
[3,4,5,8,6,7,1,2]=>0000000=>8
[4,3,5,1,6,8,7,2]=>0000000=>8
[4,3,2,1,7,6,5,9,8,10]=>000100101=>4
[7,3,2,1,6,5,4,9,8,10]=>000000101=>7
[4,3,2,1,9,6,5,8,7,10]=>000100001=>4
[6,3,2,1,9,5,4,8,7,10]=>000000001=>9
[9,3,2,1,8,5,4,7,6,10]=>000000001=>9
[6,5,2,1,9,4,3,8,7,10]=>000000001=>9
[9,5,2,1,8,4,3,7,6,10]=>000000001=>9
[4,3,2,1,7,6,5,10,8,9]=>000100100=>4
[7,3,2,1,6,5,4,10,8,9]=>000000100=>7
[4,3,2,1,8,6,5,10,7,9]=>000100000=>4
[6,3,2,1,8,5,4,10,7,9]=>000000000=>10
[8,3,2,1,7,5,4,10,6,9]=>000000000=>10
[6,5,2,1,8,4,3,10,7,9]=>000000000=>10
[8,5,2,1,7,4,3,10,6,9]=>000000000=>10
[4,3,2,1,10,6,5,9,7,8]=>000100000=>4
[6,3,2,1,10,5,4,9,7,8]=>000000000=>10
[7,3,2,1,10,5,4,9,6,8]=>000000000=>10
[10,3,2,1,9,5,4,8,6,7]=>000000000=>10
[6,5,2,1,10,4,3,9,7,8]=>000000000=>10
[7,5,2,1,10,4,3,9,6,8]=>000000000=>10
[10,5,2,1,9,4,3,8,6,7]=>000000000=>10
[4,3,2,1,8,7,5,10,6,9]=>000100000=>4
[5,3,2,1,8,7,4,10,6,9]=>000000000=>10
[8,3,2,1,7,6,4,10,5,9]=>000000000=>10
[5,4,2,1,8,7,3,10,6,9]=>000000000=>10
[8,4,2,1,7,6,3,10,5,9]=>000000000=>10
[4,3,2,1,10,7,5,9,6,8]=>000100000=>4
[5,3,2,1,10,7,4,9,6,8]=>000000000=>10
[7,3,2,1,10,6,4,9,5,8]=>000000000=>10
[10,3,2,1,9,6,4,8,5,7]=>000000000=>10
[5,4,2,1,10,7,3,9,6,8]=>000000000=>10
[7,4,2,1,10,6,3,9,5,8]=>000000000=>10
[10,4,2,1,9,6,3,8,5,7]=>000000000=>10
[7,6,2,1,10,5,3,9,4,8]=>000000000=>10
[10,6,2,1,9,5,3,8,4,7]=>000000000=>10
[5,4,3,1,8,7,2,10,6,9]=>000000000=>10
[8,4,3,1,7,6,2,10,5,9]=>000000000=>10
[5,4,3,1,10,7,2,9,6,8]=>000000000=>10
[7,4,3,1,10,6,2,9,5,8]=>000000000=>10
[10,4,3,1,9,6,2,8,5,7]=>000000000=>10
[7,6,3,1,10,5,2,9,4,8]=>000000000=>10
[10,6,3,1,9,5,2,8,4,7]=>000000000=>10
[10,3,1,5,2,7,4,9,6,8]=>000000000=>10
[10,9,4,1,6,2,8,3,5,7]=>000000000=>10
[10,9,8,5,1,7,2,3,4,6]=>000000000=>10
[7,6,5,4,3,2,9,1,8]=>00000000=>9
[6,5,4,3,9,2,8,1,7]=>00000000=>9
[6,5,4,3,2,8,1,7,9]=>00000001=>8
[5,4,9,3,8,2,7,1,6]=>00000000=>9
[5,4,3,8,2,7,1,6,9]=>00000001=>8
[5,4,3,2,7,9,1,6,8]=>00000000=>9
[5,4,3,2,7,1,6,8,9]=>00000011=>7
[4,8,3,7,2,6,1,5,9]=>00000001=>8
[4,3,7,2,6,9,1,5,8]=>00000000=>9
[4,3,7,2,6,1,5,8,9]=>00000011=>7
[4,3,2,6,8,1,5,7,9]=>00000001=>8
[4,3,2,6,1,5,7,8,9]=>00000111=>6
[3,6,9,2,5,8,1,4,7]=>00000000=>9
[3,6,2,5,8,1,4,7,9]=>00000001=>8
[3,6,2,5,1,4,7,8,9]=>00000111=>6
[3,2,5,7,9,1,4,6,8]=>00000000=>9
[3,2,5,7,1,4,6,8,9]=>00000011=>7
[3,2,5,1,4,6,7,8,9]=>00001111=>5
[2,4,6,8,1,3,5,7,9]=>00000001=>8
[2,4,6,1,3,5,7,8,9]=>00000111=>6
[8,7,6,5,4,3,2,10,1,9]=>000000000=>10
[7,6,5,4,3,10,2,9,1,8]=>000000000=>10
[7,6,5,4,3,2,9,1,8,10]=>000000001=>9
[6,5,4,10,3,9,2,8,1,7]=>000000000=>10
[6,5,4,3,9,2,8,1,7,10]=>000000001=>9
[6,5,4,3,2,8,10,1,7,9]=>000000000=>10
[6,5,4,3,2,8,1,7,9,10]=>000000011=>8
[5,10,4,9,3,8,2,7,1,6]=>000000000=>10
[5,4,9,3,8,2,7,1,6,10]=>000000001=>9
[5,4,3,8,2,7,10,1,6,9]=>000000000=>10
[5,4,3,8,2,7,1,6,9,10]=>000000011=>8
[5,4,3,2,7,9,1,6,8,10]=>000000001=>9
[5,4,3,2,7,1,6,8,9,10]=>000000111=>7
[4,8,3,7,2,6,10,1,5,9]=>000000000=>10
[4,8,3,7,2,6,1,5,9,10]=>000000011=>8
[4,3,7,10,2,6,9,1,5,8]=>000000000=>10
[4,3,7,2,6,9,1,5,8,10]=>000000001=>9
[4,3,7,2,6,1,5,8,9,10]=>000000111=>7
[4,3,2,6,8,10,1,5,7,9]=>000000000=>10
[4,3,2,6,8,1,5,7,9,10]=>000000011=>8
[4,3,2,6,1,5,7,8,9,10]=>000001111=>6
[3,6,9,2,5,8,1,4,7,10]=>000000001=>9
[3,6,2,5,8,10,1,4,7,9]=>000000000=>10
[3,6,2,5,8,1,4,7,9,10]=>000000011=>8
[3,6,2,5,1,4,7,8,9,10]=>000001111=>6
[3,2,5,7,9,1,4,6,8,10]=>000000001=>9
[3,2,5,7,1,4,6,8,9,10]=>000000111=>7
[3,2,5,1,4,6,7,8,9,10]=>000011111=>5
[2,4,6,8,1,3,5,7,9,10]=>000000011=>8
[2,4,6,1,3,5,7,8,9,10]=>000001111=>6
[2,4,1,3,5,6,7,8,9,10]=>000111111=>4
[2,1,7,3,8,4,6,5]=>0100000=>2
[4,1,7,2,8,3,6,5]=>0000000=>8
[7,1,8,2,4,3,6,5]=>0000000=>8
[7,1,5,2,8,3,6,4]=>0000000=>8
[5,1,7,2,8,3,6,4]=>0000000=>8
[8,1,6,2,5,3,7,4]=>0000000=>8
[6,1,7,2,8,3,5,4]=>0000000=>8
[1,8,2,7,5,4,6,3]=>1000000=>1
[1,8,2,7,4,3,5,6]=>1000000=>1
[1,8,6,4,7,2,3,5]=>1000000=>1
[1,8,4,2,6,3,5,7]=>1000000=>1
[7,4,8,1,5,2,3,6]=>0000000=>8
[4,1,7,2,6,3,5,8]=>0000001=>7
[5,1,7,4,3,6,2,8]=>0000001=>7
[7,5,8,3,2,4,1,6]=>0000000=>8
[1,8,5,4,3,6,2,7]=>1000000=>1
[1,8,5,4,3,7,2,6]=>1000000=>1
[1,8,5,4,7,2,6,3]=>1000000=>1
[1,8,4,2,5,3,7,6]=>1000000=>1
[1,8,5,4,2,6,7,3]=>1000000=>1
[7,4,8,2,1,3,5,6]=>0000000=>8
[4,1,7,3,2,5,6,8]=>0000001=>7
[7,5,4,8,2,3,6,1]=>0000000=>8
[3,1,7,2,6,8,4,5]=>0000000=>8
[5,1,7,4,2,6,8,3]=>0000000=>8
[4,1,6,3,2,5,8,7]=>0000010=>6
[4,3,1,6,2,5,7,8]=>0000011=>6
[6,5,4,3,7,1,8,2]=>0000000=>8
[6,5,1,7,3,8,2,4]=>0000000=>8
[6,3,2,8,5,7,1,4]=>0000000=>8
[6,5,4,3,8,2,7,1]=>0000000=>8
[6,5,4,3,8,7,1,2]=>0000000=>8
[7,6,3,8,5,4,1,2]=>0000000=>8
[5,4,8,2,1,7,3,6]=>0000000=>8
[7,6,4,8,5,1,2,3]=>0000000=>8
[7,2,8,6,3,1,4,5]=>0000000=>8
[7,2,8,6,1,5,3,4]=>0000000=>8
[2,1,7,8,3,6,4,5]=>0100000=>2
[6,4,1,7,8,2,3,5]=>0000000=>8
[4,2,1,6,7,3,5,8]=>0000001=>7
[4,3,1,5,2,7,6,8]=>0000101=>5
[5,4,2,7,3,8,1,6]=>0000000=>8
[4,1,5,3,2,8,6,7]=>0000100=>5
[3,1,6,2,8,7,4,5]=>0000000=>8
[6,5,4,1,7,8,3,2]=>0000000=>8
[5,4,3,1,6,7,2,8]=>0000001=>7
[6,5,4,2,7,8,3,1]=>0000000=>8
[5,4,2,6,3,8,7,1]=>0000000=>8
[4,3,1,5,2,6,8,7]=>0000110=>5
[5,4,2,1,6,7,8,3]=>0000000=>8
[5,4,3,1,6,7,8,2]=>0000000=>8
[6,3,8,1,2,5,7,4]=>0000000=>8
[3,6,7,1,2,5,8,4]=>0000000=>8
[7,8,3,1,2,5,6,4]=>0000000=>8
[7,8,1,3,2,4,6,5]=>0000000=>8
[7,8,2,1,3,5,4,6]=>0000000=>8
[5,2,3,7,1,8,6,4]=>0000000=>8
[2,5,3,6,1,8,7,4]=>0000000=>8
[2,6,7,3,1,8,4,5]=>0000000=>8
[2,6,7,1,3,5,4,8]=>0000001=>7
[6,2,8,3,1,7,4,5]=>0000000=>8
[3,2,5,7,1,8,4,6]=>0000000=>8
[4,3,1,2,7,8,6,5]=>0001000=>4
[5,1,2,7,3,6,4,8]=>0000001=>7
[5,1,4,7,8,2,3,6]=>0000000=>8
[5,3,4,7,8,6,1,2]=>0000000=>8
[3,5,4,6,8,7,1,2]=>0000000=>8
[1,5,4,6,8,2,3,7]=>1000000=>1
[1,6,7,3,2,4,8,5]=>1000000=>1
[1,5,3,6,2,7,8,4]=>1000000=>1
[5,1,3,7,2,6,8,4]=>0000000=>8
[5,2,4,7,8,1,6,3]=>0000000=>8
[4,2,5,7,6,1,8,3]=>0000000=>8
[4,5,2,8,6,1,7,3]=>0000000=>8
[5,3,1,8,2,6,7,4]=>0000000=>8
[6,1,8,3,2,4,7,5]=>0000000=>8
[4,3,5,7,6,8,1,2]=>0000000=>8
[4,1,5,7,6,2,3,8]=>0000001=>7
[4,5,1,8,6,2,3,7]=>0000000=>8
[5,2,1,8,3,6,4,7]=>0000000=>8
[3,4,2,1,8,7,5,6]=>0001000=>4
[7,6,5,4,2,1,8,3]=>0000000=>8
[7,6,5,4,8,1,3,2]=>0000000=>8
[8,7,6,5,4,2,1,9,3]=>00000000=>9
[7,6,5,8,2,1,4,3]=>0000000=>8
[8,7,6,5,3,2,1,9,4]=>00000000=>9
[8,7,6,4,3,2,1,9,5]=>00000000=>9
[8,7,5,4,3,2,1,9,6]=>00000000=>9
[8,5,4,3,2,1,7,6]=>0000000=>8
[8,6,5,4,3,2,1,9,7]=>00000000=>9
[7,6,5,4,3,2,1,9,8]=>00000010=>7
[7,6,5,4,1,8,3,2]=>0000000=>8
[8,7,6,5,4,9,1,3,2]=>00000000=>9
[9,8,7,6,5,4,2,1,10,3]=>000000000=>10
[7,6,5,2,8,1,4,3]=>0000000=>8
[8,7,6,5,9,2,1,4,3]=>00000000=>9
[9,8,7,6,5,3,2,1,10,4]=>000000000=>10
[7,6,5,8,4,1,3,2]=>0000000=>8
[8,7,6,9,3,2,1,5,4]=>00000000=>9
[9,8,7,6,4,3,2,1,10,5]=>000000000=>10
[7,6,8,5,2,1,4,3]=>0000000=>8
[8,7,9,4,3,2,1,6,5]=>00000000=>9
[9,8,7,5,4,3,2,1,10,6]=>000000000=>10
[7,8,6,3,2,1,5,4]=>0000000=>8
[8,9,5,4,3,2,1,7,6]=>00000000=>9
[9,8,6,5,4,3,2,1,10,7]=>000000000=>10
[8,7,4,3,2,1,6,5]=>0000000=>8
[9,6,5,4,3,2,1,8,7]=>00000000=>9
[9,7,6,5,4,3,2,1,10,8]=>000000000=>10
[7,8,4,5,9,2,3,6,10,1]=>000000000=>10
[7,8,2,4,5,1,3,6]=>0000000=>8
[4,6,7,2,5,1,3,8]=>0000001=>7
[7,8,1,3,2,4,5,6]=>0000000=>8
[7,8,4,1,5,2,3,6]=>0000000=>8
[3,6,7,2,1,4,5,8]=>0000001=>7
[5,2,3,6,1,4,7,8]=>0000011=>6
[2,5,3,6,1,4,7,8]=>0000011=>6
[2,6,7,3,1,4,5,8]=>0000001=>7
[4,6,7,1,5,2,3,8]=>0000001=>7
[4,6,7,3,5,8,1,2]=>0000000=>8
[6,4,7,1,5,2,3,8]=>0000001=>7
[6,2,7,3,1,4,5,8]=>0000001=>7
[3,2,5,6,1,4,7,8]=>0000011=>6
[3,5,2,6,1,4,7,8]=>0000011=>6
[5,1,4,6,7,2,3,8]=>0000001=>7
[3,5,4,6,7,8,1,2]=>0000000=>8
[1,5,4,6,7,2,3,8]=>1000001=>1
[1,6,7,3,2,4,5,8]=>1000001=>1
[1,5,3,6,2,4,7,8]=>1000011=>1
[5,1,3,6,2,4,7,8]=>0000011=>6
[5,2,4,6,7,1,3,8]=>0000001=>7
[2,5,4,6,7,1,3,8]=>0000001=>7
[2,6,7,4,5,1,3,8]=>0000001=>7
[6,2,7,4,5,1,3,8]=>0000001=>7
[4,2,5,6,7,1,3,8]=>0000001=>7
[4,5,2,6,7,1,3,8]=>0000001=>7
[5,3,1,6,2,4,7,8]=>0000011=>6
[6,1,7,3,2,4,5,8]=>0000001=>7
[6,1,7,4,5,2,3,8]=>0000001=>7
[6,3,7,4,5,8,1,2]=>0000000=>8
[5,4,1,6,7,2,3,8]=>0000001=>7
[5,2,1,6,3,4,7,8]=>0000011=>6
[7,3,2,5,4,1,6,8]=>0000001=>7
[7,3,5,2,4,1,6,8]=>0000001=>7
[7,6,5,2,1,4,3,8]=>0000001=>7
[1,3,6,7,5,2,8,4]=>1000000=>1
[7,3,2,5,1,6,4,8]=>0000001=>7
[1,7,4,6,2,8,5,3]=>1000000=>1
[1,3,4,5,8,7,2,6]=>1000000=>1
[3,1,2,5,6,8,7,4]=>0010000=>3
[3,7,5,4,6,8,1,2]=>0000000=>8
[2,3,4,5,8,1,7,6]=>0000000=>8
[3,1,4,6,7,8,5,2]=>0000000=>8
[7,1,5,2,6,8,3,4]=>0000000=>8
[2,3,6,7,5,1,8,4]=>0000000=>8
[4,3,2,6,7,1,8,5]=>0000000=>8
[7,1,5,4,6,8,3,2]=>0000000=>8
[5,7,4,6,1,8,3,2]=>0000000=>8
[6,3,4,5,8,1,2,7]=>0000000=>8
[7,3,4,5,8,2,1,6]=>0000000=>8
[4,8,6,1,7,5,2,3]=>0000000=>8
[7,6,4,2,8,3,5,1]=>0000000=>8
[8,4,7,3,6,5,1,2]=>0000000=>8
[6,4,7,1,8,3,2,5]=>0000000=>8
[8,10,7,9,5,6,3,4,1,2]=>000000000=>10
[9,10,6,8,5,7,3,4,1,2]=>000000000=>10
[8,10,6,9,5,7,3,4,1,2]=>000000000=>10
[7,10,6,9,5,8,3,4,1,2]=>000000000=>10
[9,10,7,8,4,6,3,5,1,2]=>000000000=>10
[8,10,7,9,4,6,3,5,1,2]=>000000000=>10
[9,10,6,8,4,7,3,5,1,2]=>000000000=>10
[8,10,6,9,4,7,3,5,1,2]=>000000000=>10
[7,10,6,9,4,8,3,5,1,2]=>000000000=>10
[9,10,5,8,4,7,3,6,1,2]=>000000000=>10
[8,10,5,9,4,7,3,6,1,2]=>000000000=>10
[7,10,5,9,4,8,3,6,1,2]=>000000000=>10
[6,10,5,9,4,8,3,7,1,2]=>000000000=>10
[9,10,7,8,5,6,2,4,1,3]=>000000000=>10
[8,10,7,9,5,6,2,4,1,3]=>000000000=>10
[9,10,6,8,5,7,2,4,1,3]=>000000000=>10
[8,10,6,9,5,7,2,4,1,3]=>000000000=>10
[7,10,6,9,5,8,2,4,1,3]=>000000000=>10
[9,10,7,8,4,6,2,5,1,3]=>000000000=>10
[8,10,7,9,4,6,2,5,1,3]=>000000000=>10
[9,10,6,8,4,7,2,5,1,3]=>000000000=>10
[8,10,6,9,4,7,2,5,1,3]=>000000000=>10
[7,10,6,9,4,8,2,5,1,3]=>000000000=>10
[9,10,5,8,4,7,2,6,1,3]=>000000000=>10
[8,10,5,9,4,7,2,6,1,3]=>000000000=>10
[7,10,5,9,4,8,2,6,1,3]=>000000000=>10
[6,10,5,9,4,8,2,7,1,3]=>000000000=>10
[9,10,7,8,3,6,2,5,1,4]=>000000000=>10
[8,10,7,9,3,6,2,5,1,4]=>000000000=>10
[9,10,6,8,3,7,2,5,1,4]=>000000000=>10
[8,10,6,9,3,7,2,5,1,4]=>000000000=>10
[7,10,6,9,3,8,2,5,1,4]=>000000000=>10
[9,10,5,8,3,7,2,6,1,4]=>000000000=>10
[8,10,5,9,3,7,2,6,1,4]=>000000000=>10
[7,10,5,9,3,8,2,6,1,4]=>000000000=>10
[6,10,5,9,3,8,2,7,1,4]=>000000000=>10
[9,10,4,8,3,7,2,6,1,5]=>000000000=>10
[8,10,4,9,3,7,2,6,1,5]=>000000000=>10
[7,10,4,9,3,8,2,6,1,5]=>000000000=>10
[6,10,4,9,3,8,2,7,1,5]=>000000000=>10
[6,2,1,7,3,5,4,8]=>0000001=>7
[2,1,8,6,3,5,4,7]=>0100000=>2
[2,1,7,3,5,8,6,4]=>0100000=>2
[2,7,3,1,5,4,6,8]=>0000001=>7
[2,6,3,1,4,8,5,7]=>0000000=>8
[4,2,1,8,3,6,7,5]=>0000000=>8
[2,1,8,6,3,5,7,4]=>0100000=>2
[6,2,1,7,3,5,8,4]=>0000000=>8
[2,7,3,1,4,8,5,6]=>0000000=>8
[3,2,1,6,4,5,7,8]=>0010011=>3
[3,2,1,5,7,8,4,6]=>0010000=>3
[2,1,7,3,6,8,4,5]=>0100000=>2
[2,7,3,1,5,6,8,4]=>0000000=>8
[2,4,7,5,1,6,8,3]=>0000000=>8
[4,3,7,5,6,1,8,2]=>0000000=>8
[4,3,6,8,5,1,7,2]=>0000000=>8
[2,6,1,8,3,5,7,4]=>0000000=>8
[2,1,6,8,3,7,4,5]=>0100000=>2
[2,1,8,3,5,7,4,6]=>0100000=>2
[3,2,1,5,6,8,4,7]=>0010000=>3
[3,2,1,5,7,4,6,8]=>0010001=>3
[2,1,7,3,6,4,5,8]=>0100001=>2
[2,1,6,3,5,8,4,7]=>0100000=>2
[8,2,4,1,7,5,6,3]=>0000000=>8
[3,8,4,7,5,1,6,2]=>0000000=>8
[8,4,3,6,1,7,5,2]=>0000000=>8
[8,2,1,7,3,5,4,6]=>0000000=>8
[2,6,1,8,3,5,4,7]=>0000000=>8
[2,7,3,1,5,6,4,8]=>0000001=>7
[2,4,7,5,1,6,3,8]=>0000001=>7
[8,2,4,1,7,5,3,6]=>0000000=>8
[5,8,6,3,1,7,4,2]=>0000000=>8
[2,4,7,1,8,5,3,6]=>0000000=>8
[2,4,8,5,1,6,3,7]=>0000000=>8
[6,2,1,7,3,4,8,5]=>0000000=>8
[6,2,1,7,8,3,5,4]=>0000000=>8
[2,7,1,8,3,5,6,4]=>0000000=>8
[2,1,8,3,6,4,5,7]=>0100000=>2
[3,2,1,6,7,4,5,8]=>0010001=>3
[3,2,1,7,4,5,6,8]=>0010001=>3
[3,2,1,6,8,4,5,7]=>0010000=>3
[2,1,8,3,7,4,5,6]=>0100000=>2
[2,1,8,3,6,7,4,5]=>0100000=>2
[2,4,8,5,1,6,7,3]=>0000000=>8
[4,3,8,5,6,1,7,2]=>0000000=>8
[3,2,1,8,4,5,6,7]=>0010000=>3
[1,6,8,3,7,2,4,5]=>1000000=>1
[3,8,1,5,7,2,4,6]=>0000000=>8
[1,2,6,8,4,7,3,5]=>1100000=>1
[6,1,5,8,2,4,7,3]=>0000000=>8
[1,2,4,8,3,6,7,5]=>1100000=>1
[4,1,2,7,8,3,6,5]=>0000000=>8
[3,5,7,4,8,6,1,2]=>0000000=>8
[5,3,8,4,7,6,1,2]=>0000000=>8
[8,7,1,2,5,4,6,3]=>0000000=>8
[5,8,1,2,3,7,6,4]=>0000000=>8
[1,2,8,4,3,5,7,6]=>1100000=>1
[1,2,5,3,7,6,4,8]=>1100001=>1
[6,1,2,8,7,4,5,3]=>0000000=>8
[7,1,6,2,8,4,5,3]=>0000000=>8
[1,2,6,3,8,5,4,7]=>1100000=>1
[1,2,8,5,3,6,4,7]=>1100000=>1
[1,2,7,3,8,5,4,6]=>1100000=>1
[4,1,2,7,8,6,3,5]=>0000000=>8
[1,6,2,8,4,3,5,7]=>1000000=>1
[1,6,4,2,7,3,5,8]=>1000001=>1
[1,8,6,3,2,4,5,7]=>1000000=>1
[1,7,3,2,8,4,5,6]=>1000000=>1
[3,1,7,8,6,2,4,5]=>0000000=>8
[1,8,7,2,4,5,6,3]=>1000000=>1
[1,8,7,3,5,6,2,4]=>1000000=>1
[1,3,2,8,7,4,5,6]=>1010000=>1
[1,8,3,2,6,4,5,7]=>1000000=>1
[1,7,6,3,2,4,5,8]=>1000001=>1
[1,2,8,4,3,7,5,6]=>1100000=>1
[8,5,1,7,2,4,6,3]=>0000000=>8
[5,3,8,7,4,6,1,2]=>0000000=>8
[3,8,6,4,7,5,1,2]=>0000000=>8
[6,1,8,2,7,4,5,3]=>0000000=>8
[1,2,5,3,8,6,4,7]=>1100000=>1
[1,2,7,5,3,6,4,8]=>1100001=>1
[1,2,6,3,7,5,4,8]=>1100001=>1
[1,2,3,7,5,4,8,6]=>1110000=>1
[3,7,4,8,6,5,1,2]=>0000000=>8
[1,8,2,7,6,4,5,3]=>1000000=>1
[2,9,8,7,6,5,4,1,3]=>00000000=>9
[2,8,7,6,5,1,4,3]=>0000000=>8
[7,4,2,1,6,5,3,8]=>0000001=>7
[7,4,1,3,5,2,6,8]=>0000001=>7
[4,3,2,7,1,5,8,6]=>0000000=>8
[5,6,8,7,4,3,1,2]=>0000000=>8
[1,8,2,7,4,3,6,5]=>1000000=>1
[2,4,8,1,6,3,7,5]=>0000000=>8
[5,3,2,6,4,8,1,7]=>0000000=>8
[2,4,5,3,8,6,1,7]=>0000000=>8
[1,8,4,5,2,6,7,3]=>1000000=>1
[1,8,4,3,6,2,7,5]=>1000000=>1
[5,6,7,3,2,8,1,4]=>0000000=>8
[5,3,2,1,4,8,6,7]=>0000100=>5
[3,4,7,8,1,2,6,5]=>0000000=>8
[3,6,7,8,1,4,5,2]=>0000000=>8
[2,3,6,8,5,1,4,7]=>0000000=>8
[3,1,6,4,8,2,5,7]=>0000000=>8
[7,3,2,6,8,5,1,4]=>0000000=>8
[1,8,4,2,3,5,7,6]=>1000000=>1
[6,4,2,8,3,5,1,7]=>0000000=>8
[7,5,4,8,3,6,2,1]=>0000000=>8
[8,4,6,3,7,2,5,1]=>0000000=>8
[7,4,6,3,8,5,1,2]=>0000000=>8
[2,5,6,8,3,4,1,7]=>0000000=>8
[8,4,6,2,7,5,3,1]=>0000000=>8
[8,5,6,7,2,4,3,1]=>0000000=>8
[2,5,6,8,4,3,1,7]=>0000000=>8
[2,5,7,8,4,1,3,6]=>0000000=>8
[6,5,7,8,4,1,3,2]=>0000000=>8
[7,5,6,8,2,4,1,3]=>0000000=>8
[7,4,6,2,8,5,1,3]=>0000000=>8
[4,3,2,6,8,5,1,7]=>0000000=>8
[3,5,6,8,2,4,1,7]=>0000000=>8
[3,5,6,8,4,2,1,7]=>0000000=>8
[2,6,7,8,1,4,5,3]=>0000000=>8
[3,6,7,8,1,4,2,5]=>0000000=>8
[3,5,7,8,2,1,4,6]=>0000000=>8
[2,6,7,8,1,4,3,5]=>0000000=>8
[6,5,7,8,3,1,4,2]=>0000000=>8
[2,5,7,8,3,1,4,6]=>0000000=>8
[2,4,7,3,8,1,5,6]=>0000000=>8
[6,4,7,3,8,1,5,2]=>0000000=>8
[6,4,7,3,8,1,2,5]=>0000000=>8
[7,4,6,3,8,2,1,5]=>0000000=>8
[6,3,2,5,4,8,1,7]=>0000000=>8
[6,4,5,2,3,8,1,7]=>0000000=>8
[6,4,5,3,2,8,1,7]=>0000000=>8
[5,4,6,3,8,2,1,7]=>0000000=>8
[5,4,7,3,8,1,6,2]=>0000000=>8
[2,5,7,8,3,1,6,4]=>0000000=>8
[4,5,7,8,3,1,2,6]=>0000000=>8
[4,5,6,8,2,3,1,7]=>0000000=>8
[5,4,6,2,8,3,1,7]=>0000000=>8
[5,3,2,6,8,4,1,7]=>0000000=>8
[5,4,7,2,8,1,3,6]=>0000000=>8
[4,5,7,8,2,1,3,6]=>0000000=>8
[4,6,7,8,1,3,2,5]=>0000000=>8
[4,6,7,8,1,3,5,2]=>0000000=>8
[2,6,7,8,1,3,5,4]=>0000000=>8
[2,6,7,8,1,5,3,4]=>0000000=>8
[4,6,7,8,1,5,2,3]=>0000000=>8
[4,6,7,8,1,2,5,3]=>0000000=>8
[4,5,7,8,2,1,6,3]=>0000000=>8
[5,4,7,2,8,1,6,3]=>0000000=>8
[5,3,2,7,8,1,6,4]=>0000000=>8
[4,3,2,7,8,1,6,5]=>0000000=>8
[3,5,7,8,2,1,6,4]=>0000000=>8
[3,6,7,8,1,2,5,4]=>0000000=>8
[3,6,7,8,1,5,2,4]=>0000000=>8
[3,6,7,8,1,5,4,2]=>0000000=>8
[2,6,7,8,1,5,4,3]=>0000000=>8
[2,3,4,5,6,7,8,9,10,1,11]=>0000000001=>10
[3,4,5,6,7,8,9,1,2,10]=>000000001=>9
[1,4,5,6,7,8,2,9,3]=>10000000=>1
[1,4,5,6,7,8,9,10,2,3]=>100000000=>1
[1,3,4,5,6,7,8,9,10,11,2]=>1000000000=>1
[4,2,7,1,5,3,8,6]=>0000000=>8
[4,2,8,6,1,5,3,7]=>0000000=>8
[3,2,6,7,5,1,4,8]=>0000001=>7
[2,7,1,3,5,4,8,6]=>0000000=>8
[4,7,2,1,5,8,6,3]=>0000000=>8
[7,2,1,3,5,8,6,4]=>0000000=>8
[2,3,6,4,7,1,5,8]=>0000001=>7
[1,3,4,8,2,7,5,6]=>1000000=>1
[3,1,4,8,2,6,7,5]=>0000000=>8
[8,3,1,6,2,5,7,4]=>0000000=>8
[4,8,6,2,1,5,7,3]=>0000000=>8
[4,8,3,6,5,1,7,2]=>0000000=>8
[6,4,7,3,5,1,8,2]=>0000000=>8
[6,4,7,5,1,8,2,3]=>0000000=>8
[3,6,1,7,5,8,2,4]=>0000000=>8
[7,3,5,1,6,8,2,4]=>0000000=>8
[4,7,3,5,6,1,8,2]=>0000000=>8
[3,4,6,8,5,1,7,2]=>0000000=>8
[4,6,8,2,1,5,7,3]=>0000000=>8
[6,8,2,1,3,5,7,4]=>0000000=>8
[1,8,2,3,5,7,4,6]=>1000000=>1
[2,7,3,6,1,4,5,8]=>0000001=>7
[2,6,1,3,5,8,4,7]=>0000000=>8
[7,3,2,5,6,1,4,8]=>0000001=>7
[4,7,5,2,6,1,3,8]=>0000001=>7
[4,6,2,8,1,5,3,7]=>0000000=>8
[8,4,1,2,7,5,3,6]=>0000000=>8
[4,5,6,2,7,1,3,8]=>0000001=>7
[8,5,1,2,6,3,4,7]=>0000000=>8
[1,6,2,7,4,8,3,5]=>1000000=>1
[6,2,1,7,8,5,3,4]=>0000000=>8
[6,7,3,8,4,1,5,2]=>0000000=>8
[2,7,8,4,1,5,6,3]=>0000000=>8
[2,7,1,8,5,6,3,4]=>0000000=>8
[8,2,5,1,6,7,3,4]=>0000000=>8
[8,2,4,5,1,6,7,3]=>0000000=>8
[3,8,4,5,6,1,7,2]=>0000000=>8
[4,5,8,3,6,7,1,2]=>0000000=>8
[4,5,8,3,7,6,1,2]=>0000000=>8
[4,2,8,3,7,1,6,5]=>0000000=>8
[7,2,3,4,8,1,6,5]=>0000000=>8
[7,2,3,4,8,1,5,6]=>0000000=>8
[7,6,3,4,8,5,1,2]=>0000000=>8
[7,6,3,5,8,4,1,2]=>0000000=>8
[7,6,3,8,4,5,1,2]=>0000000=>8
[7,2,3,8,5,1,4,6]=>0000000=>8
[7,2,3,8,5,1,6,4]=>0000000=>8
[2,6,4,8,1,5,7,3]=>0000000=>8
[7,2,3,8,4,1,5,6]=>0000000=>8
[7,2,3,5,8,1,4,6]=>0000000=>8
[7,8,2,3,6,1,4,5]=>0000000=>8
[7,8,2,3,6,1,5,4]=>0000000=>8
[4,2,6,3,7,1,5,8]=>0000001=>7
[7,2,3,5,8,1,6,4]=>0000000=>8
[7,2,3,8,4,1,6,5]=>0000000=>8
[2,6,4,8,1,3,7,5]=>0000000=>8
[3,6,4,8,1,7,5,2]=>0000000=>8
[7,6,5,1,2,3,8,4]=>0000000=>8
[7,6,5,1,4,2,8,3]=>0000000=>8
[2,6,4,5,1,8,7,3]=>0000000=>8
[3,5,6,4,1,2,7,8]=>0000011=>6
[7,8,5,4,1,2,6,3]=>0000000=>8
[3,5,6,4,1,2,8,7]=>0000010=>6
[7,6,5,1,4,2,3,8]=>0000001=>7
[7,6,5,1,2,4,3,8]=>0000001=>7
[7,6,5,1,2,4,8,3]=>0000000=>8
[7,6,5,1,3,2,8,4]=>0000000=>8
[7,6,5,1,3,2,4,8]=>0000001=>7
[7,6,5,1,3,4,2,8]=>0000001=>7
[7,2,3,4,5,1,8,6]=>0000000=>8
[2,6,4,3,1,5,8,7]=>0000010=>6
[2,6,4,3,1,8,5,7]=>0000000=>8
[2,6,4,3,1,8,7,5]=>0000000=>8
[3,5,8,4,1,2,7,6]=>0000000=>8
[3,5,8,4,1,2,6,7]=>0000000=>8
[3,5,8,4,1,6,2,7]=>0000000=>8
[4,2,8,3,6,1,7,5]=>0000000=>8
[3,5,8,4,1,6,7,2]=>0000000=>8
[2,5,8,4,1,7,3,6]=>0000000=>8
[3,6,4,2,1,7,8,5]=>0000000=>8
[3,6,4,2,1,7,5,8]=>0000001=>7
[3,5,6,4,1,8,7,2]=>0000000=>8
[2,6,4,5,1,3,7,8]=>0000011=>6
[7,6,5,1,4,3,8,2]=>0000000=>8
[7,6,5,1,2,8,4,3]=>0000000=>8
[7,6,5,1,2,8,3,4]=>0000000=>8
[7,6,5,1,8,2,4,3]=>0000000=>8
[7,6,5,1,8,2,3,4]=>0000000=>8
[7,6,5,1,8,3,2,4]=>0000000=>8
[7,6,5,1,4,8,2,3]=>0000000=>8
[3,6,4,5,1,7,2,8]=>0000001=>7
[2,5,6,4,1,7,8,3]=>0000000=>8
[7,8,5,4,1,6,3,2]=>0000000=>8
[2,5,6,4,1,7,3,8]=>0000001=>7
[3,6,4,5,1,7,8,2]=>0000000=>8
[7,6,5,1,4,8,3,2]=>0000000=>8
[7,6,5,1,8,3,4,2]=>0000000=>8
[7,6,5,1,8,4,2,3]=>0000000=>8
[7,8,6,2,1,3,5,4]=>0000000=>8
[6,1,3,4,2,8,7,5]=>0000000=>8
[6,8,2,7,4,3,5,1]=>0000000=>8
[6,2,3,8,4,7,5,1]=>0000000=>8
[7,1,3,8,6,4,5,2]=>0000000=>8
[7,4,2,1,8,6,5,3]=>0000000=>8
[6,2,1,3,4,8,7,5]=>0000000=>8
[8,1,3,2,5,6,7,4]=>0000000=>8
[3,2,8,7,4,5,1,6]=>0000000=>8
[2,1,4,8,7,5,3,6]=>0100000=>2
[3,6,8,2,4,1,5,7]=>0000000=>8
[6,2,8,1,7,5,4,3]=>0000000=>8
[4,2,8,1,5,3,6,7]=>0000000=>8
[7,4,8,6,2,1,3,5]=>0000000=>8
[7,8,5,6,4,1,3,2]=>0000000=>8
[3,8,1,4,5,6,2,7]=>0000000=>8
[9,7,8,5,6,3,1,4,2]=>00000000=>9
[9,7,8,5,3,6,1,4,2]=>00000000=>9
[9,7,5,8,3,6,1,4,2]=>00000000=>9
[7,9,5,8,3,6,1,4,2]=>00000000=>9
[7,6,8,3,5,1,4,2]=>0000000=>8
[8,9,5,7,3,6,1,4,2]=>00000000=>9
[8,9,6,7,3,5,1,4,2]=>00000000=>9
[8,9,6,7,4,5,1,3,2]=>00000000=>9
[8,9,6,7,4,5,2,3,1]=>00000000=>9
[9,10,7,8,5,6,3,1,4,2]=>000000000=>10
[9,7,8,5,3,1,6,4,2]=>00000000=>9
[9,10,7,8,5,3,6,1,4,2]=>000000000=>10
[9,7,5,3,8,6,1,4,2]=>00000000=>9
[9,10,7,5,8,3,6,1,4,2]=>000000000=>10
[7,5,9,8,3,6,1,4,2]=>00000000=>9
[9,7,10,5,8,3,6,1,4,2]=>000000000=>10
[7,8,6,3,5,1,4,2]=>0000000=>8
[5,3,8,7,6,1,4,2]=>0000000=>8
[9,8,5,7,3,6,1,4,2]=>00000000=>9
[10,7,9,5,8,3,6,1,4,2]=>000000000=>10
[7,9,6,8,3,5,1,4,2]=>00000000=>9
[10,8,9,5,7,3,6,1,4,2]=>000000000=>10
[6,5,8,4,7,1,3,2]=>0000000=>8
[8,9,5,7,4,6,1,3,2]=>00000000=>9
[10,8,9,6,7,3,5,1,4,2]=>000000000=>10
[8,9,6,7,3,5,2,4,1]=>00000000=>9
[10,8,9,6,7,4,5,1,3,2]=>000000000=>10
[6,7,4,2,5,3,1,8]=>0000001=>7
[7,6,4,8,3,1,5,2]=>0000000=>8
[7,4,8,5,6,1,3,2]=>0000000=>8
[7,4,2,5,6,3,1,8]=>0000001=>7
[4,2,7,5,6,3,1,8]=>0000001=>7
[3,4,7,5,6,2,1,8]=>0000001=>7
[4,7,3,5,6,2,1,8]=>0000001=>7
[3,7,2,5,6,4,1,8]=>0000001=>7
[7,8,3,5,6,1,4,2]=>0000000=>8
[1,6,8,5,2,7,4,3]=>1000000=>1
[6,2,8,5,1,7,4,3]=>0000000=>8
[6,7,4,8,2,1,5,3]=>0000000=>8
[3,2,7,8,6,1,5,4]=>0000000=>8
[6,8,4,1,2,3,7,5]=>0000000=>8
[4,1,8,5,6,3,2,7]=>0000000=>8
[1,8,2,5,6,4,3,7]=>1000000=>1
[6,1,8,5,3,7,4,2]=>0000000=>8
[3,8,1,5,2,7,6,4]=>0000000=>8
[8,2,1,5,3,7,6,4]=>0000000=>8
[1,5,2,4,6,7,8,3]=>1000000=>1
[4,1,5,3,6,7,8,2]=>0000000=>8
[8,1,6,5,3,7,2,4]=>0000000=>8
[7,1,4,6,3,2,8,5]=>0000000=>8
[3,2,6,4,1,7,8,5]=>0000000=>8
[7,6,4,3,1,2,8,5]=>0000000=>8
[8,6,3,5,1,7,2,4]=>0000000=>8
[4,5,3,1,6,7,8,2]=>0000000=>8
[3,5,2,1,6,7,8,4]=>0000000=>8
[5,2,3,1,6,7,8,4]=>0000000=>8
[1,5,3,2,6,7,8,4]=>1000000=>1
[8,4,6,5,1,7,2,3]=>0000000=>8
[7,5,4,6,1,2,8,3]=>0000000=>8
[3,2,5,6,1,7,8,4]=>0000000=>8
[3,2,8,7,6,1,4,5]=>0000000=>8
[6,8,4,7,2,1,3,5]=>0000000=>8
[3,8,7,5,6,1,2,4]=>0000000=>8
[8,2,7,5,6,1,3,4]=>0000000=>8
[4,8,6,5,1,7,3,2]=>0000000=>8
[1,7,4,6,2,3,8,5]=>1000000=>1
[7,6,4,2,1,5,8,3]=>0000000=>8
[5,7,4,6,1,3,8,2]=>0000000=>8
[8,6,4,7,3,1,2,5]=>0000000=>8
[5,2,4,3,7,1,8,6]=>0000000=>8
[3,5,4,2,7,1,8,6]=>0000000=>8
[8,6,4,1,3,5,2,7]=>0000000=>8
[6,7,4,1,5,3,8,2]=>0000000=>8
[7,5,4,1,2,6,8,3]=>0000000=>8
[1,7,4,2,3,6,8,5]=>1000000=>1
[1,8,2,5,3,7,6,4]=>1000000=>1
[6,8,1,5,4,7,3,2]=>0000000=>8
[8,2,1,5,6,4,3,7]=>0000000=>8
[3,8,1,5,6,4,2,7]=>0000000=>8
[6,8,4,1,2,5,3,7]=>0000000=>8
[3,2,8,1,6,5,4,7]=>0000000=>8
[3,2,6,1,5,7,8,4]=>0000000=>8
[7,6,4,1,5,2,8,3]=>0000000=>8
[8,6,1,5,4,7,2,3]=>0000000=>8
[3,5,1,4,6,7,8,2]=>0000000=>8
[5,2,1,4,6,7,8,3]=>0000000=>8
[5,4,1,3,6,7,8,2]=>0000000=>8
[8,4,1,5,3,7,2,6]=>0000000=>8
[7,5,4,1,3,2,8,6]=>0000000=>8
[3,2,5,1,4,7,8,6]=>0000100=>5
[7,1,4,3,5,2,8,6]=>0000000=>8
[8,1,3,5,4,7,2,6]=>0000000=>8
[5,1,3,4,6,7,8,2]=>0000000=>8
[3,1,8,2,5,7,4,6]=>0000000=>8
[8,3,2,6,1,4,7,5]=>0000000=>8
[2,8,1,6,4,3,7,5]=>0000000=>8
[2,6,1,3,8,7,5,4]=>0000000=>8
[2,5,7,1,3,8,6,4]=>0000000=>8
[2,6,8,1,5,7,4,3]=>0000000=>8
[2,7,1,5,8,4,6,3]=>0000000=>8
[2,7,1,6,4,8,3,5]=>0000000=>8
[2,7,1,6,5,3,8,4]=>0000000=>8
[2,8,1,7,6,5,4,3]=>0000000=>8
[8,3,2,7,1,6,5,4]=>0000000=>8
[4,1,8,7,3,2,6,5]=>0000000=>8
[4,1,7,2,8,6,5,3]=>0000000=>8
[3,7,1,8,6,5,4,2]=>0000000=>8
[3,7,6,1,4,2,5,8]=>0000001=>7
[3,7,5,1,4,6,8,2]=>0000000=>8
[3,6,8,5,1,4,7,2]=>0000000=>8
[7,3,5,8,2,1,4,6]=>0000000=>8
[7,3,6,2,1,4,5,8]=>0000001=>7
[7,3,6,2,1,5,4,8]=>0000001=>7
[7,4,2,8,1,6,5,3]=>0000000=>8
[8,7,5,3,2,1,6,4]=>0000000=>8
[7,5,2,6,3,1,4,8]=>0000001=>7
[7,4,6,2,1,8,3,5]=>0000000=>8
[6,8,4,5,2,1,7,3]=>0000000=>8
[4,6,8,5,1,7,3,2]=>0000000=>8
[4,7,5,1,3,8,6,2]=>0000000=>8
[4,7,6,1,5,3,2,8]=>0000001=>7
[5,1,7,6,3,8,2,4]=>0000000=>8
[5,1,7,6,4,2,8,3]=>0000000=>8
[5,1,8,7,6,4,3,2]=>0000000=>8
[8,5,2,1,7,6,4,3]=>0000000=>8
[8,5,2,1,6,3,7,4]=>0000000=>8
[5,1,8,6,3,2,7,4]=>0000000=>8
[3,6,1,7,4,8,2,5]=>0000000=>8
[4,1,8,6,3,7,2,5]=>0000000=>8
[8,4,2,5,7,3,1,6]=>0000000=>8
[3,4,6,8,5,7,1,2]=>0000000=>8
[5,4,8,2,7,3,6,1]=>0000000=>8
[5,4,8,7,3,6,1,2]=>0000000=>8
[8,5,4,7,3,6,2,1]=>0000000=>8
[6,4,3,8,7,1,2,5]=>0000000=>8
[6,3,7,2,4,8,1,5]=>0000000=>8
[5,6,8,4,2,7,3,1]=>0000000=>8
[5,7,4,2,8,1,3,6]=>0000000=>8
[6,5,2,7,1,3,8,4]=>0000000=>8
[8,6,5,4,2,1,7,3]=>0000000=>8
[6,4,7,3,1,8,2,5]=>0000000=>8
[5,7,4,3,8,6,1,2]=>0000000=>8
[7,5,8,4,6,3,2,1]=>0000000=>8
[7,6,4,8,3,5,2,1]=>0000000=>8
[7,6,5,3,8,2,4,1]=>0000000=>8
[6,5,4,3,2,1,9,8,7]=>00000100=>6
[6,5,4,3,2,1,8,7,9]=>00000101=>6
[5,4,3,2,1,9,8,7,6]=>00001000=>5
[5,4,3,2,1,8,7,6,9]=>00001001=>5
[5,4,3,2,1,7,6,9,8]=>00001010=>5
[5,4,3,2,1,7,6,8,9]=>00001011=>5
[4,3,2,1,8,7,6,5,9]=>00010001=>4
[4,3,2,1,7,6,5,9,8]=>00010010=>4
[4,3,2,1,7,6,5,8,9]=>00010011=>4
[4,3,2,1,6,5,8,7,9]=>00010101=>4
[4,3,2,1,6,5,7,8,9]=>00010111=>4
[3,2,1,6,5,4,8,7,9]=>00100101=>3
[3,2,1,6,5,4,7,8,9]=>00100111=>3
[3,2,1,5,4,7,6,9,8]=>00101010=>3
[3,2,1,5,4,7,6,8,9]=>00101011=>3
[3,2,1,5,4,6,7,8,9]=>00101111=>3
[2,1,4,3,6,5,7,8,9]=>01010111=>2
[2,1,4,3,5,6,7,8,9]=>01011111=>2
[7,6,5,4,3,2,1,10,9,8]=>000000100=>7
[7,6,5,4,3,2,1,9,8,10]=>000000101=>7
[6,5,4,3,2,1,9,8,7,10]=>000001001=>6
[6,5,4,3,2,1,8,7,9,10]=>000001011=>6
[5,4,3,2,1,9,8,7,6,10]=>000010001=>5
[5,4,3,2,1,8,7,6,10,9]=>000010010=>5
[5,4,3,2,1,8,7,6,9,10]=>000010011=>5
[5,4,3,2,1,7,6,9,8,10]=>000010101=>5
[5,4,3,2,1,7,6,8,9,10]=>000010111=>5
[4,3,2,1,8,7,6,5,9,10]=>000100011=>4
[4,3,2,1,7,6,5,10,9,8]=>000100100=>4
[4,3,2,1,7,6,5,8,9,10]=>000100111=>4
[4,3,2,1,6,5,8,7,9,10]=>000101011=>4
[4,3,2,1,6,5,7,8,9,10]=>000101111=>4
[3,2,1,6,5,4,9,8,7,10]=>001001001=>3
[3,2,1,6,5,4,8,7,10,9]=>001001010=>3
[3,2,1,6,5,4,8,7,9,10]=>001001011=>3
[3,2,1,6,5,4,7,8,9,10]=>001001111=>3
[3,2,1,5,4,7,6,9,8,10]=>001010101=>3
[3,2,1,5,4,7,6,8,9,10]=>001010111=>3
[3,2,1,5,4,6,7,8,9,10]=>001011111=>3
[2,1,4,3,6,5,8,7,9,10]=>010101011=>2
[2,1,4,3,6,5,7,8,9,10]=>010101111=>2
[2,1,4,3,5,6,7,8,9,10]=>010111111=>2
[5,6,3,7,4,2,1,8]=>0000001=>7
[7,6,3,8,5,1,4,2]=>0000000=>8
[6,4,8,1,3,2,5,7]=>0000000=>8
[7,4,8,6,3,1,5,2]=>0000000=>8
[4,2,7,6,5,3,1,8]=>0000001=>7
[3,7,2,4,6,5,1,8]=>0000001=>7
[8,1,3,4,5,2,6,7]=>0000000=>8
[1,6,8,4,2,5,3,7]=>1000000=>1
[6,2,8,4,1,5,7,3]=>0000000=>8
[6,7,4,8,5,1,2,3]=>0000000=>8
[3,2,7,8,5,1,6,4]=>0000000=>8
[3,2,8,1,5,4,6,7]=>0000000=>8
[6,1,4,8,5,3,7,2]=>0000000=>8
[1,4,8,5,2,6,7,3]=>1000000=>1
[6,1,8,4,3,7,2,5]=>0000000=>8
[3,7,1,4,2,5,8,6]=>0000000=>8
[7,2,1,4,3,5,6,8]=>0000001=>7
[4,1,5,3,6,8,2,7]=>0000000=>8
[6,1,8,5,3,2,7,4]=>0000000=>8
[7,1,4,6,3,8,5,2]=>0000000=>8
[3,2,6,4,1,8,7,5]=>0000000=>8
[7,6,4,3,1,8,2,5]=>0000000=>8
[3,5,2,1,8,7,6,4]=>0000000=>8
[1,5,3,2,8,6,4,7]=>1000000=>1
[5,4,2,1,7,8,6,3]=>0000000=>8
[8,2,7,6,5,1,3,4]=>0000000=>8
[8,6,2,7,1,4,5,3]=>0000000=>8
[1,7,3,6,2,8,5,4]=>1000000=>1
[7,6,3,2,1,8,5,4]=>0000000=>8
[8,6,3,7,4,1,2,5]=>0000000=>8
[5,2,3,4,7,1,8,6]=>0000000=>8
[8,6,3,1,4,5,7,2]=>0000000=>8
[6,7,3,1,5,4,2,8]=>0000001=>7
[5,8,3,1,2,4,7,6]=>0000000=>8
[8,1,3,2,4,5,6,7]=>0000000=>8
[8,4,1,7,2,3,6,5]=>0000000=>8
[8,2,1,6,5,4,7,3]=>0000000=>8
[3,8,1,5,6,4,7,2]=>0000000=>8
[6,8,4,1,2,5,7,3]=>0000000=>8
[3,2,8,1,6,5,7,4]=>0000000=>8
[7,6,4,1,5,2,3,8]=>0000001=>7
[8,6,1,5,4,7,3,2]=>0000000=>8
[3,5,1,4,6,7,2,8]=>0000001=>7
[5,2,1,4,7,6,3,8]=>0000001=>7
[4,5,8,2,1,3,7,6]=>0000000=>8
[5,8,2,3,1,4,6,7]=>0000000=>8
[4,2,1,3,5,8,7,6]=>0001100=>4
[5,4,1,3,6,2,8,7]=>0000010=>6
[8,5,4,1,3,6,2,7]=>0000000=>8
[3,2,5,1,4,6,8,7]=>0000110=>5
[8,1,4,3,5,6,7,2]=>0000000=>8
[7,1,3,5,4,6,2,8]=>0000001=>7
[5,1,3,4,6,2,7,8]=>0000011=>6
[4,1,3,2,5,7,6,8]=>0001101=>4
[3,1,4,2,6,5,8,7,9]=>00010101=>4
[3,1,5,2,6,4,8,7,9]=>00000101=>6
[3,1,5,2,4,7,6,9,8]=>00001010=>5
[3,1,2,5,4,7,6,9,8]=>00101010=>3
[3,1,4,2,6,5,8,7,10,9]=>000101010=>4
[4,1,5,2,6,3,8,7,9]=>00000101=>6
[3,1,5,2,6,4,8,7,10,9]=>000001010=>6
[3,1,6,2,7,4,8,5,9]=>00000001=>8
[3,1,5,2,7,4,8,6,10,9]=>000000010=>8
[3,1,5,2,7,4,9,6,10,8]=>000000000=>10
[1,3,5,2,4,7,6,9,8]=>10001010=>1
[3,1,2,5,4,7,6,9,8,10]=>001010101=>3
[4,6,7,3,1,5,2,8]=>0000001=>7
[4,1,8,3,5,7,2,6]=>0000000=>8
[4,5,7,2,3,6,8,1]=>0000000=>8
[2,6,3,4,7,5,8,1]=>0000000=>8
[4,5,2,7,1,6,8,3]=>0000000=>8
[3,4,1,6,5,8,2,7]=>0000000=>8
[6,4,2,8,7,1,5,3]=>0000000=>8
[7,2,4,8,1,5,3,6]=>0000000=>8
[4,6,3,1,7,8,5,2]=>0000000=>8
[5,3,1,6,7,8,4,2]=>0000000=>8
[2,1,3,4,8,7,5,6]=>0111000=>2
[4,5,6,7,8,9,1,2,3]=>00000000=>9
[4,5,6,7,8,9,2,3,1]=>00000000=>9
[5,6,7,8,9,1,2,3,4]=>00000000=>9
[6,7,8,9,2,3,4,5,1]=>00000000=>9
[8,9,6,7,5,4,3,2,1]=>00000000=>9
[4,5,6,7,8,9,10,1,2,3]=>000000000=>10
[4,5,6,7,8,9,10,2,3,1]=>000000000=>10
[5,6,7,8,9,10,1,2,3,4]=>000000000=>10
[5,6,7,8,9,10,3,4,1,2]=>000000000=>10
[7,8,9,10,3,4,5,6,1,2]=>000000000=>10
[7,8,9,10,5,6,3,4,1,2]=>000000000=>10
[8,9,10,5,6,7,2,3,4,1]=>000000000=>10
[4,8,3,7,6,5,1,2]=>0000000=>8
[6,3,8,7,5,4,1,2]=>0000000=>8
[5,3,8,7,6,4,1,2]=>0000000=>8
[2,8,7,6,1,5,4,3]=>0000000=>8
[5,2,8,7,6,1,4,3]=>0000000=>8
[6,2,8,7,5,1,4,3]=>0000000=>8
[7,8,2,6,5,1,4,3]=>0000000=>8
[6,1,8,7,5,4,3,2]=>0000000=>8
[3,1,8,7,6,5,4,2]=>0000000=>8
[7,8,2,6,1,5,4,3]=>0000000=>8
[6,2,8,7,1,5,4,3]=>0000000=>8
[4,2,8,1,7,6,5,3]=>0000000=>8
[4,8,2,7,6,1,5,3]=>0000000=>8
[3,8,7,2,1,6,5,4]=>0000000=>8
[6,5,8,7,1,4,3,2]=>0000000=>8
[4,8,1,7,6,5,3,2]=>0000000=>8
[5,4,1,8,7,6,3,2]=>0000000=>8
[6,4,8,1,7,5,3,2]=>0000000=>8
[7,8,4,1,6,5,3,2]=>0000000=>8
[7,8,3,1,6,5,4,2]=>0000000=>8
[6,3,8,1,7,5,4,2]=>0000000=>8
[5,3,1,8,7,6,4,2]=>0000000=>8
[7,8,2,1,6,5,4,3]=>0000000=>8
[6,5,3,1,8,7,4,2]=>0000000=>8
[6,4,3,1,8,7,5,2]=>0000000=>8
[5,4,3,1,8,7,6,2]=>0000000=>8
[7,5,2,1,8,6,4,3]=>0000000=>8
[5,4,2,1,8,7,6,3]=>0000000=>8
[7,3,2,1,8,6,5,4]=>0000000=>8
[6,3,2,1,8,7,5,4]=>0000000=>8
[9,7,5,3,1,10,8,6,4,2]=>000000000=>10
[8,7,5,3,1,10,9,6,4,2]=>000000000=>10
[9,6,5,3,1,10,8,7,4,2]=>000000000=>10
[8,6,5,3,1,10,9,7,4,2]=>000000000=>10
[7,6,5,3,1,10,9,8,4,2]=>000000000=>10
[9,7,4,3,1,10,8,6,5,2]=>000000000=>10
[8,7,4,3,1,10,9,6,5,2]=>000000000=>10
[9,6,4,3,1,10,8,7,5,2]=>000000000=>10
[8,6,4,3,1,10,9,7,5,2]=>000000000=>10
[7,6,4,3,1,10,9,8,5,2]=>000000000=>10
[9,5,4,3,1,10,8,7,6,2]=>000000000=>10
[8,5,4,3,1,10,9,7,6,2]=>000000000=>10
[7,5,4,3,1,10,9,8,6,2]=>000000000=>10
[6,5,4,3,1,10,9,8,7,2]=>000000000=>10
[9,7,5,2,1,10,8,6,4,3]=>000000000=>10
[8,7,5,2,1,10,9,6,4,3]=>000000000=>10
[9,6,5,2,1,10,8,7,4,3]=>000000000=>10
[8,6,5,2,1,10,9,7,4,3]=>000000000=>10
[7,6,5,2,1,10,9,8,4,3]=>000000000=>10
[9,7,4,2,1,10,8,6,5,3]=>000000000=>10
[8,7,4,2,1,10,9,6,5,3]=>000000000=>10
[9,6,4,2,1,10,8,7,5,3]=>000000000=>10
[8,6,4,2,1,10,9,7,5,3]=>000000000=>10
[7,6,4,2,1,10,9,8,5,3]=>000000000=>10
[9,5,4,2,1,10,8,7,6,3]=>000000000=>10
[8,5,4,2,1,10,9,7,6,3]=>000000000=>10
[7,5,4,2,1,10,9,8,6,3]=>000000000=>10
[6,5,4,2,1,10,9,8,7,3]=>000000000=>10
[9,7,3,2,1,10,8,6,5,4]=>000000000=>10
[8,7,3,2,1,10,9,6,5,4]=>000000000=>10
[9,6,3,2,1,10,8,7,5,4]=>000000000=>10
[8,6,3,2,1,10,9,7,5,4]=>000000000=>10
[7,6,3,2,1,10,9,8,5,4]=>000000000=>10
[9,5,3,2,1,10,8,7,6,4]=>000000000=>10
[8,5,3,2,1,10,9,7,6,4]=>000000000=>10
[7,5,3,2,1,10,9,8,6,4]=>000000000=>10
[6,5,3,2,1,10,9,8,7,4]=>000000000=>10
[9,4,3,2,1,10,8,7,6,5]=>000000000=>10
[8,4,3,2,1,10,9,7,6,5]=>000000000=>10
[7,4,3,2,1,10,9,8,6,5]=>000000000=>10
[6,4,3,2,1,10,9,8,7,5]=>000000000=>10
[6,1,4,2,3,5,8,7]=>0000010=>6
[8,6,1,4,2,3,5,7]=>0000000=>8
[6,8,1,4,2,3,5,7]=>0000000=>8
[8,1,4,2,3,6,5,7]=>0000000=>8
[6,2,3,8,1,4,5,7]=>0000000=>8
[4,6,2,3,8,1,5,7]=>0000000=>8
[8,4,3,6,2,1,5,7]=>0000000=>8
[6,4,2,3,8,1,5,7]=>0000000=>8
[2,8,4,3,6,1,5,7]=>0000000=>8
[2,8,3,6,1,4,5,7]=>0000000=>8
[8,3,6,4,2,1,5,7]=>0000000=>8
[8,3,6,2,4,1,5,7]=>0000000=>8
[8,3,6,2,1,4,5,7]=>0000000=>8
[3,6,4,7,8,5,1,2]=>0000000=>8
[1,6,4,2,7,5,8,3]=>1000000=>1
[3,6,4,2,7,1,5,8]=>0000001=>7
[1,4,7,2,5,6,8,3]=>1000000=>1
[6,4,8,5,3,7,1,2]=>0000000=>8
[1,6,5,4,2,7,8,3]=>1000000=>1
[4,2,5,3,6,1,7,8]=>0000011=>6
[7,1,5,3,6,2,8,4]=>0000000=>8
[1,6,5,2,4,8,7,3]=>1000000=>1
[1,4,6,2,8,5,7,3]=>1000000=>1
[7,8,1,4,2,5,6,3]=>0000000=>8
[3,4,8,5,2,1,6,7]=>0000000=>8
[4,8,5,3,1,6,2,7]=>0000000=>8
[6,1,3,5,8,2,7,4]=>0000000=>8
[6,1,8,7,4,2,3,5]=>0000000=>8
[1,2,8,5,7,3,6,4]=>1100000=>1
[1,3,6,8,7,5,2,4]=>1000000=>1
[1,8,2,5,4,7,6,3]=>1000000=>1
[7,1,2,4,5,8,6,3]=>0000000=>8
[1,2,7,3,5,8,6,4]=>1100000=>1
[6,1,3,2,5,7,8,4]=>0000000=>8
[4,6,2,1,7,5,3,8]=>0000001=>7
[1,6,3,7,8,5,2,4]=>1000000=>1
[4,6,2,3,7,8,1,5]=>0000000=>8
[4,6,3,7,1,2,8,5]=>0000000=>8
[4,2,1,3,5,7,8,6]=>0001100=>4
[7,3,2,4,5,1,8,6]=>0000000=>8
[3,8,2,5,4,1,7,6]=>0000000=>8
[7,8,4,2,6,3,1,5]=>0000000=>8
[4,2,6,3,8,7,1,5]=>0000000=>8
[5,8,2,7,4,3,1,6]=>0000000=>8
[4,3,8,5,1,7,2,6]=>0000000=>8
[4,3,6,8,1,2,7,5]=>0000000=>8
[6,4,3,5,2,8,1,7]=>0000000=>8
[6,5,3,8,4,2,1,7]=>0000000=>8
[6,1,7,2,8,3,9,4,10,5]=>000000000=>10
[1,8,6,7,5,3,4,2]=>1000000=>1
[1,5,8,7,2,6,4,3]=>1000000=>1
[4,1,3,6,5,8,7,2]=>0000000=>8
[2,1,6,3,5,8,7,4]=>0100000=>2
[2,4,1,3,8,5,7,6]=>0001000=>4
[2,4,1,3,5,8,7,6]=>0001100=>4
[2,6,1,3,5,8,7,4]=>0000000=>8
[4,6,1,3,5,8,7,2]=>0000000=>8
[6,1,4,3,5,8,7,2]=>0000000=>8
[6,4,1,3,5,8,7,2]=>0000000=>8
[6,2,1,3,5,8,7,4]=>0000000=>8
[4,2,1,3,6,5,7,8]=>0001011=>4
[4,2,1,6,3,5,7,8]=>0000011=>6
[6,2,1,8,3,5,7,4]=>0000000=>8
[6,2,1,3,8,5,7,4]=>0000000=>8
[6,1,4,3,8,5,7,2]=>0000000=>8
[1,6,4,3,8,5,7,2]=>1000000=>1
[8,1,4,3,6,5,7,2]=>0000000=>8
[8,4,1,3,6,5,7,2]=>0000000=>8
[8,2,1,3,6,5,7,4]=>0000000=>8
[8,2,1,6,3,5,7,4]=>0000000=>8
[8,2,1,4,3,5,7,6]=>0000000=>8
[6,2,1,4,3,5,7,8]=>0000011=>6
[8,2,4,1,3,5,7,6]=>0000000=>8
[8,2,6,1,3,5,7,4]=>0000000=>8
[8,4,6,1,3,5,7,2]=>0000000=>8
[8,4,1,6,3,5,7,2]=>0000000=>8
[8,1,4,6,3,5,7,2]=>0000000=>8
[1,8,4,6,3,5,7,2]=>1000000=>1
[1,6,4,8,3,5,7,2]=>1000000=>1
[6,4,1,8,3,5,7,2]=>0000000=>8
[6,4,8,1,3,5,7,2]=>0000000=>8
[6,2,8,1,3,5,7,4]=>0000000=>8
[4,2,8,1,3,5,7,6]=>0000000=>8
[2,6,8,1,3,5,7,4]=>0000000=>8
[4,6,8,1,3,5,7,2]=>0000000=>8
[4,6,1,8,3,5,7,2]=>0000000=>8
[4,1,6,8,3,5,7,2]=>0000000=>8
[1,4,6,3,8,5,7,2]=>1000000=>1
[4,6,1,3,8,5,7,2]=>0000000=>8
[2,4,1,8,3,5,7,6]=>0000000=>8
[2,1,6,8,3,5,7,4]=>0100000=>2
[4,1,3,6,8,5,7,2]=>0000000=>8
[1,4,3,6,8,5,7,2]=>1000000=>1
[4,1,3,8,6,5,7,2]=>0000000=>8
[2,1,8,3,6,5,7,4]=>0100000=>2
[2,1,6,4,3,5,7,8]=>0100011=>2
[2,6,1,4,3,5,7,8]=>0000011=>6
[2,8,1,4,3,5,7,6]=>0000000=>8
[2,8,1,6,3,5,7,4]=>0000000=>8
[4,8,1,3,6,5,7,2]=>0000000=>8
[1,4,8,3,6,5,7,2]=>1000000=>1
[1,4,8,6,3,5,7,2]=>1000000=>1
[4,1,8,6,3,5,7,2]=>0000000=>8
[4,8,1,6,3,5,7,2]=>0000000=>8
[4,8,6,1,3,5,7,2]=>0000000=>8
[2,8,6,1,3,5,7,4]=>0000000=>8
[2,8,4,1,3,5,7,6]=>0000000=>8
[2,6,4,1,3,5,7,8]=>0000011=>6
[4,6,2,1,3,5,7,8]=>0000011=>6
[6,8,1,4,3,5,7,2]=>0000000=>8
[6,1,8,4,3,5,7,2]=>0000000=>8
[1,6,8,4,3,5,7,2]=>1000000=>1
[1,8,6,4,3,5,7,2]=>1000000=>1
[8,1,6,4,3,5,7,2]=>0000000=>8
[8,6,1,4,3,5,7,2]=>0000000=>8
[8,6,4,1,3,5,7,2]=>0000000=>8
[8,6,2,1,3,5,7,4]=>0000000=>8
[8,4,2,1,3,5,7,6]=>0000000=>8
[7,8,6,5,2,1,4,3]=>0000000=>8
[5,7,4,1,8,6,3,2]=>0000000=>8
[3,6,7,4,5,8,2,1]=>0000000=>8
[5,4,6,1,7,8,3,2]=>0000000=>8
[6,8,1,4,5,3,7,2]=>0000000=>8
[6,7,1,4,5,3,2,8]=>0000001=>7
[3,7,1,5,4,6,8,2]=>0000000=>8
[6,7,1,4,5,3,8,2]=>0000000=>8
[5,6,4,2,7,3,8,1]=>0000000=>8
[5,4,7,2,8,3,1,6]=>0000000=>8
[5,4,7,2,8,3,6,1]=>0000000=>8
[3,8,1,5,4,6,2,7]=>0000000=>8
[3,6,1,5,4,2,7,8]=>0000011=>6
[3,6,1,5,4,8,2,7]=>0000000=>8
[6,7,3,1,4,2,8,5]=>0000000=>8
[3,4,1,2,6,8,7,5]=>0001000=>4
[6,4,7,2,8,5,1,3]=>0000000=>8
[3,8,1,5,4,7,2,6]=>0000000=>8
[7,8,3,1,4,6,2,5]=>0000000=>8
[6,5,8,7,3,4,2,1]=>0000000=>8
[3,7,1,5,4,2,6,8]=>0000001=>7
[3,8,1,5,4,2,7,6]=>0000000=>8
[6,8,4,2,7,5,3,1]=>0000000=>8
[6,8,3,1,4,7,5,2]=>0000000=>8
[3,7,1,5,4,8,6,2]=>0000000=>8
[3,4,1,2,8,5,7,6]=>0001000=>4
[6,7,3,1,4,5,8,2]=>0000000=>8
[9,8,7,6,5,4,2,1,3]=>00000000=>9
[9,8,7,6,5,3,2,1,4]=>00000000=>9
[8,7,6,3,5,2,1,4]=>0000000=>8
[9,8,7,6,4,3,2,1,5]=>00000000=>9
[8,7,4,6,3,2,1,5]=>0000000=>8
[9,8,7,5,4,3,2,1,6]=>00000000=>9
[8,5,7,4,3,2,1,6]=>0000000=>8
[9,8,6,5,4,3,2,1,7]=>00000000=>9
[9,7,6,5,4,3,2,1,8]=>00000000=>9
[9,8,7,6,5,4,1,3,2]=>00000000=>9
[10,9,8,7,6,5,4,2,1,3]=>000000000=>10
[9,8,7,6,5,2,4,1,3]=>00000000=>9
[10,9,8,7,6,5,3,2,1,4]=>000000000=>10
[9,8,7,6,3,5,2,1,4]=>00000000=>9
[10,9,8,7,6,4,3,2,1,5]=>000000000=>10
[8,7,6,2,5,4,1,3]=>0000000=>8
[9,8,7,4,6,3,2,1,5]=>00000000=>9
[10,9,8,7,5,4,3,2,1,6]=>000000000=>10
[8,5,4,7,3,2,1,6]=>0000000=>8
[8,7,3,6,5,2,1,4]=>0000000=>8
[9,8,5,7,4,3,2,1,6]=>00000000=>9
[10,9,8,6,5,4,3,2,1,7]=>000000000=>10
[6,5,8,4,3,2,1,7]=>0000000=>8
[8,4,7,6,3,2,1,5]=>0000000=>8
[9,6,8,5,4,3,2,1,7]=>00000000=>9
[10,9,7,6,5,4,3,2,1,8]=>000000000=>10
[5,8,7,4,3,2,1,6]=>0000000=>8
[10,8,7,6,5,4,3,2,1,9]=>000000000=>10
[4,5,2,7,3,1,8,6]=>0000000=>8
[4,8,2,6,3,5,7,1]=>0000000=>8
[4,1,7,2,5,8,6,3]=>0000000=>8
[7,8,2,1,5,6,4,3]=>0000000=>8
[1,6,2,5,8,4,3,7]=>1000000=>1
[7,3,1,6,8,5,2,4]=>0000000=>8
[5,2,7,1,8,6,3,4]=>0000000=>8
[6,5,2,8,1,7,3,4]=>0000000=>8
[2,8,3,5,1,7,4,6]=>0000000=>8
[5,4,3,8,7,1,6,2]=>0000000=>8
[8,5,4,3,7,2,6,1]=>0000000=>8
[8,3,7,4,2,6,5,1]=>0000000=>8
[2,8,6,5,1,7,4,3]=>0000000=>8
[6,3,2,8,4,1,7,5]=>0000000=>8
[2,8,3,4,1,7,5,6]=>0000000=>8
[5,4,2,8,3,1,7,6]=>0000000=>8
[2,8,4,3,1,7,6,5]=>0000000=>8
[2,8,5,3,1,7,6,4]=>0000000=>8
[2,8,6,4,1,7,5,3]=>0000000=>8
[3,8,7,5,1,6,4,2]=>0000000=>8
[8,3,7,5,2,6,4,1]=>0000000=>8
[8,4,7,6,2,5,3,1]=>0000000=>8
[4,8,7,6,1,5,3,2]=>0000000=>8
[7,4,8,6,2,1,5,3]=>0000000=>8
[7,3,8,5,2,1,6,4]=>0000000=>8
[7,3,8,4,2,1,6,5]=>0000000=>8
[7,5,4,3,8,2,1,6]=>0000000=>8
[3,7,8,4,1,2,6,5]=>0000000=>8
[3,7,8,5,1,2,6,4]=>0000000=>8
[4,7,8,6,1,2,5,3]=>0000000=>8
[8,7,4,6,3,5,2,1]=>0000000=>8
[5,7,8,6,1,2,4,3]=>0000000=>8
[6,4,7,8,3,1,2,5]=>0000000=>8
[7,3,4,8,2,1,5,6]=>0000000=>8
[7,6,4,8,3,2,1,5]=>0000000=>8
[7,5,8,6,2,1,4,3]=>0000000=>8
[6,5,8,7,3,1,4,2]=>0000000=>8
[2,4,8,3,1,5,7,6]=>0000000=>8
[6,3,2,4,8,1,5,7]=>0000000=>8
[2,3,8,4,1,6,7,5]=>0000000=>8
[2,3,8,5,1,6,7,4]=>0000000=>8
[6,4,8,7,3,1,5,2]=>0000000=>8
[8,6,4,7,3,2,5,1]=>0000000=>8
[8,3,4,7,2,5,6,1]=>0000000=>8
[3,4,8,7,1,5,6,2]=>0000000=>8
[2,4,8,6,1,5,7,3]=>0000000=>8
[2,5,8,6,1,4,7,3]=>0000000=>8
[8,3,5,7,2,4,6,1]=>0000000=>8
[8,4,6,7,2,3,5,1]=>0000000=>8
[4,6,8,7,1,3,5,2]=>0000000=>8
[2,6,8,5,1,3,7,4]=>0000000=>8
[2,6,8,4,1,3,7,5]=>0000000=>8
[2,5,8,3,1,4,7,6]=>0000000=>8
[5,6,8,7,1,3,4,2]=>0000000=>8
[7,4,6,8,2,1,3,5]=>0000000=>8
[5,4,8,6,2,1,3,7]=>0000000=>8
[2,5,6,1,4,7,8,3]=>0000000=>8
[1,8,7,6,3,2,5,4]=>1000000=>1
[1,8,7,6,3,2,4,5]=>1000000=>1
[1,8,4,5,2,7,3,6]=>1000000=>1
[1,8,4,5,2,7,6,3]=>1000000=>1
[6,3,5,4,7,1,8,2]=>0000000=>8
[1,8,4,3,6,2,5,7]=>1000000=>1
[2,7,6,4,8,5,3,1]=>0000000=>8
[1,8,4,5,2,6,3,7]=>1000000=>1
[7,3,5,8,4,6,2,1]=>0000000=>8
[2,3,4,6,5,8,1,7]=>0000000=>8
[2,3,4,7,5,1,8,6]=>0000000=>8
[7,4,8,5,3,2,1,6]=>0000000=>8
[8,1,6,2,4,3,5,7]=>0000000=>8
[1,7,6,2,4,3,5,8]=>1000001=>1
[8,7,3,2,4,6,5,1]=>0000000=>8
[1,7,2,5,4,3,6,8]=>1000001=>1
[8,7,1,3,4,5,2,6]=>0000000=>8
[8,1,2,5,4,3,6,7]=>0000000=>8
[8,6,1,2,4,3,5,7]=>0000000=>8
[5,1,8,6,2,3,4,7]=>0000000=>8
[3,7,6,1,8,2,5,4]=>0000000=>8
[7,6,3,1,8,2,4,5]=>0000000=>8
[8,2,1,3,5,7,4,6]=>0000000=>8
[7,5,4,1,3,8,2,6]=>0000000=>8
[7,3,8,5,4,1,2,6]=>0000000=>8
[1,7,2,3,5,8,4,6]=>1000000=>1
[3,5,2,6,7,1,8,4]=>0000000=>8
[3,2,8,4,7,5,1,6]=>0000000=>8
[3,8,1,6,5,2,7,4]=>0000000=>8
[6,8,3,1,7,2,4,5]=>0000000=>8
[2,7,5,3,8,4,1,6]=>0000000=>8
[8,3,2,1,5,7,4,6]=>0000000=>8
[8,3,6,4,7,1,2,5]=>0000000=>8
[1,2,8,3,5,7,4,6]=>1100000=>1
[6,5,1,7,4,2,8,3]=>0000000=>8
[7,3,6,4,8,2,1,5]=>0000000=>8
[4,6,1,7,3,5,2,8]=>0000001=>7
[5,6,1,7,3,4,2,8]=>0000001=>7
[6,1,7,3,4,2,8,5]=>0000000=>8
[7,3,8,1,6,5,2,4]=>0000000=>8
[8,3,7,1,6,5,2,4]=>0000000=>8
[5,1,7,4,2,8,6,3]=>0000000=>8
[2,8,1,7,6,5,3,4]=>0000000=>8
[4,2,8,6,5,1,7,3]=>0000000=>8
[6,4,2,8,5,1,7,3]=>0000000=>8
[8,6,4,7,1,5,2,3]=>0000000=>8
[7,6,4,8,1,5,2,3]=>0000000=>8
[5,1,6,4,2,3,8,7]=>0000010=>6
[4,2,3,8,7,5,1,6]=>0000000=>8
[3,8,7,1,6,5,2,4]=>0000000=>8
[2,4,3,8,1,6,7,5]=>0000000=>8
[2,4,3,7,1,6,8,5]=>0000000=>8
[4,2,3,7,8,5,1,6]=>0000000=>8
[5,1,6,4,2,3,7,8]=>0000011=>6
[6,4,7,8,1,5,2,3]=>0000000=>8
[8,7,4,6,1,5,2,3]=>0000000=>8
[6,5,7,8,1,4,2,3]=>0000000=>8
[4,7,8,6,1,5,2,3]=>0000000=>8
[3,2,4,7,8,1,5,6]=>0000000=>8
[3,2,4,8,7,1,5,6]=>0000000=>8
[4,8,7,6,1,5,2,3]=>0000000=>8
[5,8,7,6,1,4,2,3]=>0000000=>8
[8,6,5,7,1,4,2,3]=>0000000=>8
[5,1,6,7,4,2,3,8]=>0000001=>7
[6,7,4,8,1,5,2,3]=>0000000=>8
[8,4,7,6,1,5,2,3]=>0000000=>8
[8,3,2,4,7,1,5,6]=>0000000=>8
[7,3,2,4,8,1,5,6]=>0000000=>8
[2,5,3,7,1,6,4,8]=>0000001=>7
[8,4,6,7,1,5,2,3]=>0000000=>8
[7,4,6,8,1,5,2,3]=>0000000=>8
[5,1,6,8,4,2,3,7]=>0000000=>8
[4,2,3,7,5,1,6,8]=>0000001=>7
[3,7,5,8,1,6,2,4]=>0000000=>8
[2,4,3,7,1,6,5,8]=>0000001=>7
[2,4,7,1,5,8,6,3]=>0000000=>8
[3,2,4,7,6,1,5,8]=>0000001=>7
[4,7,6,8,1,5,2,3]=>0000000=>8
[8,5,6,7,1,4,2,3]=>0000000=>8
[8,6,7,5,1,4,2,3]=>0000000=>8
[7,6,8,5,1,4,2,3]=>0000000=>8
[6,8,7,5,1,4,2,3]=>0000000=>8
[5,6,8,7,1,4,2,3]=>0000000=>8
[4,6,8,7,1,5,2,3]=>0000000=>8
[2,4,6,7,1,5,8,3]=>0000000=>8
[3,2,4,6,1,5,7,8]=>0000011=>6
[6,7,8,5,1,4,2,3]=>0000000=>8
[7,8,6,5,1,4,2,3]=>0000000=>8
[3,1,7,5,4,2,8,6]=>0000000=>8
[2,1,8,5,4,6,3,7]=>0100000=>2
[4,1,8,5,2,3,6,7]=>0000000=>8
[5,4,1,3,6,7,2,8]=>0000001=>7
[8,4,1,2,6,3,7,5]=>0000000=>8
[8,2,7,1,5,3,4,6]=>0000000=>8
[3,2,7,1,5,8,4,6]=>0000000=>8
[6,3,7,1,5,4,2,8]=>0000001=>7
[7,3,8,1,5,4,2,6]=>0000000=>8
[7,1,5,3,8,4,2,6]=>0000000=>8
[4,5,1,3,6,8,2,7]=>0000000=>8
[3,6,8,1,5,4,2,7]=>0000000=>8
[6,8,3,1,5,4,2,7]=>0000000=>8
[7,6,3,1,5,4,2,8]=>0000001=>7
[3,6,2,1,5,8,4,7]=>0000000=>8
[8,6,2,1,5,3,4,7]=>0000000=>8
[4,8,2,1,7,5,3,6]=>0000000=>8
[2,3,8,1,5,7,4,6]=>0000000=>8
[7,1,3,2,8,6,4,5]=>0000000=>8
[7,1,6,2,8,3,4,5]=>0000000=>8
[4,7,1,2,6,3,8,5]=>0000000=>8
[2,7,8,1,5,3,4,6]=>0000000=>8
[6,7,2,1,5,3,4,8]=>0000001=>7
[4,7,2,1,8,5,3,6]=>0000000=>8
[8,7,2,1,4,5,3,6]=>0000000=>8
[8,7,5,6,1,4,3,2]=>0000000=>8
[5,7,8,6,1,4,3,2]=>0000000=>8
[2,7,4,1,6,5,3,8]=>0000001=>7
[3,7,1,4,5,6,8,2]=>0000000=>8
[7,1,6,4,5,8,3,2]=>0000000=>8
[3,5,1,4,7,6,8,2]=>0000000=>8
[2,6,4,1,7,5,3,8]=>0000001=>7
[5,6,8,7,1,4,3,2]=>0000000=>8
[6,8,5,7,1,4,3,2]=>0000000=>8
[8,6,5,7,1,4,3,2]=>0000000=>8
[8,5,7,6,1,4,3,2]=>0000000=>8
[6,5,7,8,1,4,3,2]=>0000000=>8
[7,2,3,1,5,6,4,8]=>0000001=>7
[4,2,8,1,6,5,3,7]=>0000000=>8
[6,2,4,1,8,5,3,7]=>0000000=>8
[8,3,1,4,5,6,7,2]=>0000000=>8
[5,3,1,4,8,6,7,2]=>0000000=>8
[7,5,1,6,3,4,8,2]=>0000000=>8
[7,1,5,8,4,3,6,2]=>0000000=>8
[5,8,1,6,4,3,7,2]=>0000000=>8
[5,3,1,8,4,6,7,2]=>0000000=>8
[8,3,1,5,4,6,7,2]=>0000000=>8
[8,2,6,1,4,5,3,7]=>0000000=>8
[6,2,8,1,4,5,3,7]=>0000000=>8
[7,2,6,1,5,3,4,8]=>0000001=>7
[2,8,6,1,5,3,4,7]=>0000000=>8
[4,2,1,5,6,3,8,7]=>0000010=>6
[7,1,2,5,8,3,4,6]=>0000000=>8
[7,1,4,5,6,8,3,2]=>0000000=>8
[8,5,6,7,1,4,3,2]=>0000000=>8
[7,6,8,5,1,4,3,2]=>0000000=>8
[6,8,7,5,1,4,3,2]=>0000000=>8
[2,6,7,1,4,5,3,8]=>0000001=>7
[3,5,1,7,4,6,8,2]=>0000000=>8
[7,1,5,6,4,8,3,2]=>0000000=>8
[7,1,6,5,4,8,3,2]=>0000000=>8
[2,7,6,1,4,5,3,8]=>0000001=>7
[5,7,6,8,1,4,3,2]=>0000000=>8
[7,8,6,5,1,4,3,2]=>0000000=>8
[4,3,1,6,5,8,7,2]=>0000000=>8
[5,3,1,2,4,8,7,6]=>0000100=>5
[5,3,6,2,1,8,7,4]=>0000000=>8
[5,3,7,2,1,4,6,8]=>0000001=>7
[5,3,7,2,8,4,1,6]=>0000000=>8
[7,2,4,5,8,3,1,6]=>0000000=>8
[7,2,4,5,1,3,6,8]=>0000001=>7
[6,2,4,5,1,8,7,3]=>0000000=>8
[3,1,4,5,2,8,7,6]=>0000100=>5
[1,6,4,5,2,8,7,3]=>1000000=>1
[3,7,4,5,1,2,6,8]=>0000001=>7
[3,7,4,5,8,2,1,6]=>0000000=>8
[1,7,4,2,6,3,5,8]=>1000001=>1
[8,7,4,5,2,1,6,3]=>0000000=>8
[6,3,7,1,8,4,2,5]=>0000000=>8
[5,7,4,1,6,3,2,8]=>0000001=>7
[1,7,4,8,6,3,2,5]=>1000000=>1
[5,7,4,8,6,3,1,2]=>0000000=>8
[4,8,3,5,6,7,1,2]=>0000000=>8
[1,8,3,5,6,7,2,4]=>1000000=>1
[4,8,1,5,6,7,2,3]=>0000000=>8
[4,1,3,5,6,7,2,8]=>0000001=>7
[5,8,4,3,6,1,2,7]=>0000000=>8
[5,3,8,4,1,7,2,6]=>0000000=>8
[1,5,8,4,6,7,3,2]=>1000000=>1
[1,4,8,3,6,7,5,2]=>1000000=>1
[4,3,8,2,1,7,5,6]=>0000000=>8
[3,8,4,2,6,1,5,7]=>0000000=>8
[1,8,2,5,6,7,4,3]=>1000000=>1
[3,8,1,5,6,7,4,2]=>0000000=>8
[3,8,2,5,6,7,1,4]=>0000000=>8
[8,2,1,5,6,7,4,3]=>0000000=>8
[8,1,3,5,6,7,4,2]=>0000000=>8
[7,1,4,3,6,2,5,8]=>0000001=>7
[7,8,4,3,6,2,1,5]=>0000000=>8
[4,3,1,8,5,7,6,2]=>0000000=>8
[4,3,1,6,8,7,5,2]=>0000000=>8
[6,3,1,8,2,7,4,5]=>0000000=>8
[6,3,5,8,2,7,1,4]=>0000000=>8
[7,5,4,8,6,2,1,3]=>0000000=>8
[7,1,4,8,6,2,3,5]=>0000000=>8
[7,5,4,1,6,2,3,8]=>0000001=>7
[7,6,4,5,8,1,3,2]=>0000000=>8
[1,6,4,5,8,2,3,7]=>1000000=>1
[7,3,6,1,8,2,4,5]=>0000000=>8
[1,7,6,5,8,3,4,2]=>1000000=>1
[1,8,5,3,6,7,4,2]=>1000000=>1
[8,3,5,2,1,7,4,6]=>0000000=>8
[8,4,1,5,6,7,3,2]=>0000000=>8
[8,4,2,5,6,7,1,3]=>0000000=>8
[4,1,8,5,6,7,3,2]=>0000000=>8
[1,2,8,5,6,7,3,4]=>1100000=>1
[4,2,1,5,6,7,3,8]=>0000001=>7
[1,5,3,8,6,7,4,2]=>1000000=>1
[1,4,5,8,6,7,3,2]=>1000000=>1
[4,3,5,8,1,7,2,6]=>0000000=>8
[3,5,4,8,6,1,2,7]=>0000000=>8
[1,4,8,5,6,7,2,3]=>1000000=>1
[3,4,8,5,6,7,1,2]=>0000000=>8
[2,7,1,5,6,3,4,8]=>0000001=>7
[2,7,1,4,3,6,5,8]=>0000001=>7
[4,3,7,2,5,6,8,1]=>0000000=>8
[2,6,3,1,4,5,8,7]=>0000010=>6
[3,7,1,4,2,6,8,5]=>0000000=>8
[3,7,1,5,6,2,8,4]=>0000000=>8
[4,7,1,5,6,8,2,3]=>0000000=>8
[8,5,2,6,7,3,1,4]=>0000000=>8
[8,4,2,6,3,7,1,5]=>0000000=>8
[8,4,2,3,5,7,1,6]=>0000000=>8
[4,7,3,2,5,6,1,8]=>0000001=>7
[5,3,4,6,2,8,1,7]=>0000000=>8
[5,3,7,4,2,8,1,6]=>0000000=>8
[6,4,7,2,3,8,1,5]=>0000000=>8
[6,5,7,2,8,3,1,4]=>0000000=>8
[5,3,7,2,4,8,6,1]=>0000000=>8
[2,6,5,1,8,3,4,7]=>0000000=>8
[8,7,6,1,4,5,2,3]=>0000000=>8
[8,7,6,1,3,2,5,4]=>0000000=>8
[8,7,2,4,3,1,6,5]=>0000000=>8
[8,7,4,5,1,6,2,3]=>0000000=>8
[8,5,6,4,1,7,2,3]=>0000000=>8
[8,5,6,3,1,2,7,4]=>0000000=>8
[8,4,6,2,3,1,7,5]=>0000000=>8
[8,3,5,4,2,1,7,6]=>0000000=>8
[5,7,3,4,2,1,8,6]=>0000000=>8
[6,7,4,2,3,1,8,5]=>0000000=>8
[6,7,5,3,1,2,8,4]=>0000000=>8
[6,7,5,4,1,8,2,3]=>0000000=>8
[8,10,1,2,3,4,5,6,7,9]=>000000000=>10
[7,3,5,4,1,8,6,2]=>0000000=>8
[2,6,5,7,3,1,8,4]=>0000000=>8
[6,3,2,4,7,5,1,8]=>0000001=>7
[4,2,1,6,3,7,5,8]=>0000001=>7
[4,2,1,6,3,7,8,5]=>0000000=>8
[4,2,1,3,7,8,6,5]=>0001000=>4
[5,8,1,7,4,3,2,6]=>0000000=>8
[7,3,4,2,6,8,1,5]=>0000000=>8
[3,6,7,5,2,4,8,1]=>0000000=>8
[4,2,1,7,3,6,5,8]=>0000001=>7
[3,7,8,6,2,4,5,1]=>0000000=>8
[4,2,1,3,5,8,6,7]=>0001100=>4
[4,8,1,7,3,6,5,2]=>0000000=>8
[4,2,1,8,3,7,6,5]=>0000000=>8
[2,6,1,5,4,7,8,3]=>0000000=>8
[4,6,3,5,8,7,1,2]=>0000000=>8
[3,5,6,1,4,8,7,2]=>0000000=>8
[4,7,5,2,1,3,6,8]=>0000001=>7
[3,5,6,2,4,1,7,8]=>0000011=>6
[2,5,6,1,4,8,3,7]=>0000000=>8
[6,7,8,4,1,5,3,2]=>0000000=>8
[7,1,6,8,4,5,3,2]=>0000000=>8
[7,4,6,5,2,8,1,3]=>0000000=>8
[7,1,5,6,4,2,3,8]=>0000001=>7
[5,7,4,6,8,1,3,2]=>0000000=>8
[5,7,8,1,4,6,3,2]=>0000000=>8
[8,1,5,7,4,6,3,2]=>0000000=>8
[1,8,4,6,7,5,3,2]=>1000000=>1
[6,1,8,4,7,5,3,2]=>0000000=>8
[4,5,8,6,1,7,3,2]=>0000000=>8
[4,8,5,1,6,7,3,2]=>0000000=>8
[8,1,4,5,6,7,3,2]=>0000000=>8
[5,6,7,1,4,2,3,8]=>0000001=>7
[8,4,2,6,1,5,7,3]=>0000000=>8
[4,8,5,2,1,6,7,3]=>0000000=>8
[5,1,8,4,2,6,3,7]=>0000000=>8
[1,8,4,6,2,5,3,7]=>1000000=>1
[6,1,5,2,3,4,7,8]=>0000011=>6
[8,3,1,4,6,2,5,7]=>0000000=>8
[3,1,8,2,5,6,4,7]=>0000000=>8
[3,5,1,8,2,6,4,7]=>0000000=>8
[3,5,1,2,8,4,7,6]=>0000000=>8
[2,3,5,8,6,1,7,4]=>0000000=>8
[8,2,4,3,6,7,1,5]=>0000000=>8
[3,2,8,5,7,1,6,4]=>0000000=>8
[3,6,2,8,5,1,7,4]=>0000000=>8
[6,2,1,8,4,7,5,3]=>0000000=>8
[2,8,7,1,4,6,5,3]=>0000000=>8
[8,2,7,1,5,4,6,3]=>0000000=>8
[7,2,5,3,6,8,1,4]=>0000000=>8
[7,3,1,5,6,2,4,8]=>0000001=>7
[3,7,5,1,6,2,4,8]=>0000001=>7
[2,7,3,6,5,8,1,4]=>0000000=>8
[8,7,2,4,1,6,5,3]=>0000000=>8
[1,8,7,2,3,6,5,4]=>1000000=>1
[1,7,8,2,6,4,3,5]=>1000000=>1
[1,7,3,8,2,6,4,5]=>1000000=>1
[1,2,7,3,6,4,5,8]=>1100001=>1
[7,1,5,8,3,2,4,6]=>0000000=>8
[1,6,2,8,4,3,7,5]=>1000000=>1
[1,3,8,7,2,4,6,5]=>1000000=>1
[1,8,3,7,2,5,4,6]=>1000000=>1
[8,1,4,7,3,2,5,6]=>0000000=>8
[4,7,8,1,3,2,5,6]=>0000000=>8
[7,1,4,2,3,5,6,8]=>0000001=>7
[8,2,1,4,7,3,5,6]=>0000000=>8
[2,1,3,8,4,6,7,5]=>0110000=>2
[1,2,3,4,8,5,7,6]=>1111000=>1
[2,4,7,5,6,8,3,1]=>0000000=>8
[2,8,5,7,3,6,4,1]=>0000000=>8
[3,1,8,5,2,7,6,4]=>0000000=>8
[2,5,7,3,4,8,6,1]=>0000000=>8
[7,3,8,5,1,6,4,2]=>0000000=>8
[4,8,1,5,2,7,3,6]=>0000000=>8
[4,1,2,5,3,8,7,6]=>0000100=>5
[4,3,6,8,7,5,1,2]=>0000000=>8
[5,4,1,8,2,7,6,3]=>0000000=>8
[6,4,8,1,2,5,3,7]=>0000000=>8
[5,4,1,6,8,2,7,3]=>0000000=>8
[6,5,1,2,3,7,8,4]=>0000000=>8
[6,5,1,2,3,4,8,7]=>0000010=>6
[6,7,4,1,2,5,3,8]=>0000001=>7
[2,4,6,3,5,7,1,8]=>0000001=>7
[1,4,6,3,7,2,5,8]=>1000001=>1
[8,6,2,5,3,1,7,4]=>0000000=>8
[8,2,3,4,5,1,7,6]=>0000000=>8
[1,8,3,4,2,7,5,6]=>1000000=>1
[2,8,3,4,1,6,7,5]=>0000000=>8
[8,7,2,3,1,6,5,4]=>0000000=>8
[3,8,2,4,6,1,7,5]=>0000000=>8
[7,8,2,4,3,1,6,5]=>0000000=>8
[4,5,8,2,3,1,7,6]=>0000000=>8
[5,1,4,3,7,2,6,8]=>0000001=>7
[6,1,3,5,7,2,4,8]=>0000001=>7
[2,1,4,7,5,3,6,8]=>0100001=>2
[7,1,3,6,2,5,4,8]=>0000001=>7
[8,1,3,6,2,4,7,5]=>0000000=>8
[2,1,8,3,7,5,4,6]=>0100000=>2
[7,1,8,2,5,6,3,4]=>0000000=>8
[6,1,5,8,2,7,3,4]=>0000000=>8
[4,5,2,8,1,6,7,3]=>0000000=>8
[6,2,5,8,1,4,7,3]=>0000000=>8
[3,2,8,5,1,6,7,4]=>0000000=>8
[8,2,7,1,4,6,5,3]=>0000000=>8
[1,3,8,2,5,7,4,6]=>1000000=>1
[2,8,7,1,6,4,5,3]=>0000000=>8
[3,8,7,1,5,6,4,2]=>0000000=>8
[3,4,8,5,6,1,7,2]=>0000000=>8
[8,3,7,4,1,6,5,2]=>0000000=>8
[1,4,8,6,2,7,3,5]=>1000000=>1
[8,4,5,7,1,6,3,2]=>0000000=>8
[3,5,6,8,4,1,7,2]=>0000000=>8
[6,2,3,1,5,4,7,8]=>0000011=>6
[7,2,3,1,4,6,5,8]=>0000001=>7
[8,2,3,1,4,5,7,6]=>0000000=>8
[8,5,1,3,2,4,7,6]=>0000000=>8
[7,5,1,3,2,6,4,8]=>0000001=>7
[2,6,1,4,5,3,7,8]=>0000011=>6
[3,6,4,1,5,2,7,8]=>0000011=>6
[4,5,6,1,3,2,7,8]=>0000011=>6
[4,5,7,1,2,6,3,8]=>0000001=>7
[3,7,4,1,2,6,5,8]=>0000001=>7
[6,7,1,4,2,5,3,8]=>0000001=>7
[2,7,1,3,5,6,4,8]=>0000001=>7
[8,6,1,2,4,3,7,5]=>0000000=>8
[2,8,1,3,4,6,7,5]=>0000000=>8
[7,8,1,2,5,3,6,4]=>0000000=>8
[3,8,4,1,2,5,7,6]=>0000000=>8
[1,2,6,7,5,3,8,4]=>1100000=>1
[1,7,5,3,2,8,4,6]=>1000000=>1
[1,6,7,5,3,8,4,2]=>1000000=>1
[1,6,5,7,2,3,8,4]=>1000000=>1
[1,3,8,2,6,5,7,4]=>1000000=>1
[1,2,5,7,6,3,4,8]=>1100001=>1
[1,3,4,8,2,5,7,6]=>1000000=>1
[1,5,7,6,2,3,4,8]=>1000001=>1
[1,5,3,8,2,6,4,7]=>1000000=>1
[1,4,8,3,2,5,7,6]=>1000000=>1
[1,4,8,3,5,7,6,2]=>1000000=>1
[1,2,4,8,3,5,7,6]=>1100000=>1
[1,3,8,4,2,6,7,5]=>1000000=>1
[1,4,8,2,3,5,7,6]=>1000000=>1
[6,5,7,3,8,2,4,1]=>0000000=>8
[4,2,6,7,5,8,3,1]=>0000000=>8
[6,7,5,2,1,8,4,3]=>0000000=>8
[3,4,8,7,5,2,1,6]=>0000000=>8
[1,7,5,2,8,4,6,3]=>1000000=>1
[5,6,8,3,1,7,2,4]=>0000000=>8
[6,1,4,8,3,2,7,5]=>0000000=>8
[3,4,7,1,8,6,2,5]=>0000000=>8
[3,4,6,8,2,1,5,7]=>0000000=>8
[3,8,2,5,6,1,4,7]=>0000000=>8
[3,5,2,8,6,4,1,7]=>0000000=>8
[4,2,5,7,3,8,6,1]=>0000000=>8
[7,4,2,5,3,8,1,6]=>0000000=>8
[3,1,2,8,5,6,4,7]=>0010000=>3
[5,2,1,6,8,3,4,7]=>0000000=>8
[5,2,6,8,4,1,3,7]=>0000000=>8
[1,5,6,8,3,4,2,7]=>1000000=>1
[4,5,8,1,6,3,2,7]=>0000000=>8
[4,5,1,6,8,3,2,7]=>0000000=>8
[4,5,7,3,8,2,6,1]=>0000000=>8
[6,4,3,7,8,2,5,1]=>0000000=>8
[6,4,3,1,7,8,2,5]=>0000000=>8
[4,5,3,1,7,8,2,6]=>0000000=>8
[7,1,3,5,4,8,2,6]=>0000000=>8
[7,5,2,8,1,4,3,6]=>0000000=>8
[5,7,3,8,4,6,1,2]=>0000000=>8
[1,4,5,7,3,8,6,2]=>1000000=>1
[4,6,3,7,8,5,2,1]=>0000000=>8
[5,3,6,7,8,4,2,1]=>0000000=>8
[1,5,3,6,7,8,4,2]=>1000000=>1
[4,6,1,7,3,8,5,2]=>0000000=>8
[6,3,7,1,8,4,5,2]=>0000000=>8
[6,7,2,4,8,1,5,3]=>0000000=>8
[2,6,1,4,7,3,8,5]=>0000000=>8
[3,2,5,6,7,8,1,4]=>0000000=>8
[5,2,3,6,7,8,4,1]=>0000000=>8
[6,7,1,3,2,8,4,5]=>0000000=>8
[6,2,7,1,3,4,8,5]=>0000000=>8
[5,2,1,7,3,8,4,6]=>0000000=>8
[6,4,2,7,1,8,3,5]=>0000000=>8
[4,2,6,3,7,8,1,5]=>0000000=>8
[4,2,6,3,7,8,5,1]=>0000000=>8
[6,7,3,8,2,4,5,1]=>0000000=>8
[3,6,2,7,4,1,8,5]=>0000000=>8
[6,7,3,2,1,4,8,5]=>0000000=>8
[7,1,8,3,4,2,5,6]=>0000000=>8
[7,2,4,1,8,3,5,6]=>0000000=>8
[7,2,4,8,6,1,3,5]=>0000000=>8
[7,3,4,8,6,2,1,5]=>0000000=>8
[3,5,7,2,1,8,6,4]=>0000000=>8
[6,7,8,3,2,5,1,4]=>0000000=>8
[6,3,7,8,2,5,4,1]=>0000000=>8
[2,6,7,4,8,5,3,1]=>0000000=>8
[6,2,4,7,1,8,5,3]=>0000000=>8
[4,6,2,7,1,8,5,3]=>0000000=>8
[1,7,4,8,5,2,6,3]=>1000000=>1
[1,3,7,8,5,2,6,4]=>1000000=>1
[2,5,7,8,1,6,3,4]=>0000000=>8
[6,3,7,1,8,2,5,4]=>0000000=>8
[1,6,4,7,8,2,5,3]=>1000000=>1
[2,5,6,1,7,8,4,3]=>0000000=>8
[5,6,1,2,7,8,4,3]=>0000000=>8
[6,7,2,1,8,5,3,4]=>0000000=>8
[6,7,2,8,5,4,1,3]=>0000000=>8
[1,6,7,4,8,5,3,2]=>1000000=>1
[1,8,2,4,6,3,5,7]=>1000000=>1
[1,5,7,4,3,6,2,8]=>1000001=>1
[1,8,4,5,3,6,2,7]=>1000000=>1
[1,8,5,3,4,7,2,6]=>1000000=>1
[1,8,2,4,6,3,7,5]=>1000000=>1
[1,8,2,5,4,6,7,3]=>1000000=>1
[3,6,2,7,1,4,5,8]=>0000001=>7
[1,4,7,5,2,6,8,3]=>1000000=>1
[4,6,5,3,7,1,8,2]=>0000000=>8
[5,2,4,8,1,3,7,6]=>0000000=>8
[6,4,3,5,8,2,7,1]=>0000000=>8
[5,2,3,4,8,1,6,7]=>0000000=>8
[3,5,2,4,7,1,6,8]=>0000001=>7
[4,5,3,7,1,6,2,8]=>0000001=>7
[7,6,3,8,5,1,2,4]=>0000000=>8
[4,2,6,7,3,8,1,5]=>0000000=>8
[1,5,7,4,2,8,6,3]=>1000000=>1
[1,3,7,2,8,6,4,5]=>1000000=>1
[1,4,3,7,8,6,2,5]=>1000000=>1
[1,5,3,6,8,2,7,4]=>1000000=>1
[4,3,6,5,7,8,1,2]=>0000000=>8
[4,2,3,5,6,8,1,7]=>0000000=>8
[5,2,6,4,7,8,3,1]=>0000000=>8
[3,2,5,6,8,1,7,4]=>0000000=>8
[6,4,5,2,3,8,7,1]=>0000000=>8
[6,4,2,5,3,8,7,1]=>0000000=>8
[8,6,4,7,5,2,3,1]=>0000000=>8
[6,4,2,5,8,7,3,1]=>0000000=>8
[4,6,2,5,3,8,7,1]=>0000000=>8
[2,6,4,5,8,7,3,1]=>0000000=>8
[2,6,4,8,7,5,3,1]=>0000000=>8
[8,2,4,6,7,5,3,1]=>0000000=>8
[4,2,6,8,7,5,3,1]=>0000000=>8
[4,2,6,5,8,7,3,1]=>0000000=>8
[6,4,8,7,2,5,3,1]=>0000000=>8
[6,4,8,7,5,2,3,1]=>0000000=>8
[4,6,5,8,7,2,3,1]=>0000000=>8
[4,6,5,8,2,7,3,1]=>0000000=>8
[6,8,7,4,2,5,3,1]=>0000000=>8
[9,8,7,3,6,2,5,1,4]=>00000000=>9
[9,8,7,6,3,5,1,2,4]=>00000000=>9
[9,4,8,3,7,2,6,1,5]=>00000000=>9
[9,8,4,7,3,6,1,2,5]=>00000000=>9
[9,8,7,2,4,6,1,3,5]=>00000000=>9
[9,8,7,4,6,1,2,3,5]=>00000000=>9
[5,9,4,8,3,7,1,2,6]=>00000000=>9
[9,5,8,2,4,7,1,3,6]=>00000000=>9
[9,5,8,4,7,1,2,3,6]=>00000000=>9
[9,8,3,5,7,1,2,4,6]=>00000000=>9
[9,8,5,7,1,2,3,4,6]=>00000000=>9
[6,9,3,5,8,1,2,4,7]=>00000000=>9
[6,9,5,8,1,2,3,4,7]=>00000000=>9
[9,2,4,6,8,1,3,5,7]=>00000000=>9
[9,4,6,8,1,2,3,5,7]=>00000000=>9
[9,6,8,1,2,3,4,5,7]=>00000000=>9
[3,5,7,9,1,2,4,6,8]=>00000000=>9
[5,7,9,1,2,3,4,6,8]=>00000000=>9
[7,9,1,2,3,4,5,6,8]=>00000000=>9
[10,9,8,7,6,5,2,4,1,3]=>000000000=>10
[10,9,8,7,3,6,2,5,1,4]=>000000000=>10
[10,9,8,7,6,3,5,1,2,4]=>000000000=>10
[10,9,4,8,3,7,2,6,1,5]=>000000000=>10
[10,9,8,4,7,3,6,1,2,5]=>000000000=>10
[10,9,8,7,2,4,6,1,3,5]=>000000000=>10
[10,9,8,7,4,6,1,2,3,5]=>000000000=>10
[10,5,9,4,8,3,7,1,2,6]=>000000000=>10
[10,9,5,8,2,4,7,1,3,6]=>000000000=>10
[10,9,5,8,4,7,1,2,3,6]=>000000000=>10
[10,9,8,3,5,7,1,2,4,6]=>000000000=>10
[10,9,8,5,7,1,2,3,4,6]=>000000000=>10
[6,10,5,9,2,4,8,1,3,7]=>000000000=>10
[6,10,5,9,4,8,1,2,3,7]=>000000000=>10
[10,3,6,9,2,5,8,1,4,7]=>000000000=>10
[10,6,9,3,5,8,1,2,4,7]=>000000000=>10
[10,6,9,5,8,1,2,3,4,7]=>000000000=>10
[10,9,2,4,6,8,1,3,5,7]=>000000000=>10
[10,9,4,6,8,1,2,3,5,7]=>000000000=>10
[10,9,6,8,1,2,3,4,5,7]=>000000000=>10
[4,7,10,3,6,9,1,2,5,8]=>000000000=>10
[7,10,2,4,6,9,1,3,5,8]=>000000000=>10
[7,10,4,6,9,1,2,3,5,8]=>000000000=>10
[7,10,6,9,1,2,3,4,5,8]=>000000000=>10
[10,3,5,7,9,1,2,4,6,8]=>000000000=>10
[10,5,7,9,1,2,3,4,6,8]=>000000000=>10
[10,7,9,1,2,3,4,5,6,8]=>000000000=>10
[4,6,8,10,1,2,3,5,7,9]=>000000000=>10
[6,8,10,1,2,3,4,5,7,9]=>000000000=>10
[4,2,5,6,3,8,1,7]=>0000000=>8
[6,2,5,7,4,8,3,1]=>0000000=>8
[8,5,2,1,4,7,6,3]=>0000000=>8
[6,7,3,2,5,8,4,1]=>0000000=>8
[3,2,6,4,8,1,5,7]=>0000000=>8
[2,3,6,4,7,8,5,1]=>0000000=>8
[7,5,1,8,3,4,6,2]=>0000000=>8
[5,7,8,2,6,3,4,1]=>0000000=>8
[7,1,6,3,5,8,4,2]=>0000000=>8
[6,3,1,7,8,4,5,2]=>0000000=>8
[5,3,6,7,4,1,8,2]=>0000000=>8
[7,3,1,2,5,8,6,4]=>0000000=>8
[1,6,3,5,2,4,8,7]=>1000010=>1
[3,4,8,2,7,5,1,6]=>0000000=>8
[6,3,2,8,5,7,4,1]=>0000000=>8
[3,8,4,7,2,5,6,1]=>0000000=>8
[2,4,8,1,5,3,7,6]=>0000000=>8
[3,4,8,1,6,2,7,5]=>0000000=>8
[1,8,4,6,7,3,5,2]=>1000000=>1
[8,1,6,3,4,5,7,2]=>0000000=>8
[7,6,5,4,1,2,8,3]=>0000000=>8
[5,7,6,8,3,4,2,1]=>0000000=>8
[2,8,1,6,5,7,4,3]=>0000000=>8
[4,6,8,2,5,3,7,1]=>0000000=>8
[5,2,3,7,6,1,8,4]=>0000000=>8
[8,1,2,4,6,7,3,5]=>0000000=>8
[5,2,3,7,4,8,6,1]=>0000000=>8
[5,2,6,8,4,3,1,7]=>0000000=>8
[7,8,1,5,4,3,6,2]=>0000000=>8
[7,2,4,8,5,3,6,1]=>0000000=>8
[3,7,5,1,8,4,6,2]=>0000000=>8
[2,7,8,5,4,6,1,3]=>0000000=>8
[5,7,4,3,8,6,2,1]=>0000000=>8
[4,8,1,6,3,5,2,7]=>0000000=>8
[8,3,1,7,4,2,5,6]=>0000000=>8
[3,1,8,2,4,5,7,6]=>0000000=>8
[8,1,3,7,6,2,4,5]=>0000000=>8
[2,3,6,8,7,1,4,5]=>0000000=>8
[4,3,2,8,5,7,1,6]=>0000000=>8
[3,6,4,2,8,5,7,1]=>0000000=>8
[4,7,3,2,5,1,8,6]=>0000000=>8
[3,2,4,7,5,8,6,1]=>0000000=>8
[4,2,3,8,6,5,1,7]=>0000000=>8
[2,4,3,5,1,8,6,7]=>0000100=>5
[3,2,8,1,4,6,5,7]=>0000000=>8
[4,7,8,3,1,2,6,5]=>0000000=>8
[4,7,8,2,1,3,6,5]=>0000000=>8
[4,1,6,8,2,3,7,5]=>0000000=>8
[4,5,1,2,8,3,7,6]=>0000000=>8
[3,6,2,8,4,7,1,5]=>0000000=>8
[3,2,6,8,4,7,1,5]=>0000000=>8
[4,2,6,8,3,1,7,5]=>0000000=>8
[4,2,5,1,8,3,7,6]=>0000000=>8
[4,1,2,5,8,3,7,6]=>0000000=>8
[4,2,5,3,8,1,7,6]=>0000000=>8
[3,2,5,4,8,7,1,6]=>0000000=>8
[5,4,1,3,2,8,7,6]=>0000100=>5
[5,4,3,1,2,8,7,6]=>0000100=>5
[3,5,1,4,8,7,2,6]=>0000000=>8
[3,4,5,1,8,7,2,6]=>0000000=>8
[2,4,6,8,3,7,5,1]=>0000000=>8
[3,4,5,2,8,7,1,6]=>0000000=>8
[5,3,1,4,2,8,7,6]=>0000100=>5
[5,3,2,1,4,8,7,6]=>0000100=>5
[4,3,2,5,8,1,7,6]=>0000000=>8
[3,2,4,5,8,7,1,6]=>0000000=>8
[5,2,1,3,4,8,7,6]=>0000100=>5
[8,6,2,5,4,1,3,7]=>0000000=>8
[6,5,7,4,2,8,3,1]=>0000000=>8
[6,7,5,3,8,2,4,1]=>0000000=>8
[8,2,1,6,3,4,5,7]=>0000000=>8
[8,3,5,6,2,4,1,7]=>0000000=>8
[8,6,2,1,3,5,4,7]=>0000000=>8
[8,1,2,3,4,6,5,7]=>0000000=>8
[6,2,3,7,8,4,5,1]=>0000000=>8
[7,5,8,2,6,3,4,1]=>0000000=>8
[7,3,1,6,5,8,4,2]=>0000000=>8
[1,5,6,7,3,4,8,2]=>1000000=>1
[6,7,8,2,1,4,5,3]=>0000000=>8
[8,4,7,6,2,1,3,5]=>0000000=>8
[5,3,8,4,7,2,6,1]=>0000000=>8
[8,1,3,7,6,4,2,5]=>0000000=>8
[5,3,1,7,8,6,2,4]=>0000000=>8
[3,5,8,2,7,1,6,4]=>0000000=>8
[6,2,8,5,3,1,7,4]=>0000000=>8
[8,2,6,4,7,1,3,5]=>0000000=>8
[3,4,2,8,5,1,7,6]=>0000000=>8
[3,8,6,5,2,1,7,4]=>0000000=>8
[8,3,7,4,2,5,6,1]=>0000000=>8
[4,8,5,7,2,1,3,6]=>0000000=>8
[3,4,1,8,2,6,7,5]=>0000000=>8
[8,4,6,3,7,1,5,2]=>0000000=>8
[6,8,3,4,1,5,7,2]=>0000000=>8
[5,1,7,6,2,8,4,3]=>0000000=>8
[6,8,2,5,7,4,1,3]=>0000000=>8
[2,8,5,6,7,1,3,4]=>0000000=>8
[2,5,7,6,3,1,8,4]=>0000000=>8
[4,2,8,3,1,5,6,7]=>0000000=>8
[2,5,7,3,8,4,6,1]=>0000000=>8
[4,2,7,1,8,5,3,6]=>0000000=>8
[4,2,1,8,7,5,6,3]=>0000000=>8
[8,3,6,7,1,5,4,2]=>0000000=>8
[1,3,7,5,8,6,4,2]=>1000000=>1
[5,7,8,4,3,1,6,2]=>0000000=>8
[2,7,4,5,8,3,6,1]=>0000000=>8
[3,5,7,1,4,8,6,2]=>0000000=>8
[7,2,8,5,1,4,6,3]=>0000000=>8
[1,6,5,3,8,4,2,7]=>1000000=>1
[5,7,4,8,3,6,2,1]=>0000000=>8
[4,8,6,1,3,5,2,7]=>0000000=>8
[1,8,3,2,4,7,5,6]=>1000000=>1
[8,4,3,2,5,7,1,6]=>0000000=>8
[3,6,4,8,2,5,7,1]=>0000000=>8
[4,3,7,2,5,8,1,6]=>0000000=>8
[3,2,4,7,8,5,6,1]=>0000000=>8
[2,6,4,3,8,5,1,7]=>0000000=>8
[3,8,2,1,6,4,5,7]=>0000000=>8
[8,2,1,3,4,5,7,6]=>0000000=>8
[4,6,8,3,2,1,5,7]=>0000000=>8
[3,2,6,8,5,4,1,7]=>0000000=>8
[7,3,8,2,5,4,1,6]=>0000000=>8
[4,2,5,3,8,7,6,1]=>0000000=>8
[4,8,2,6,5,3,1,7]=>0000000=>8
[2,6,8,5,4,1,3,7]=>0000000=>8
[3,1,8,6,5,4,2,7]=>0000000=>8
[5,4,8,7,3,2,6,1]=>0000000=>8
[6,4,8,3,7,2,5,1]=>0000000=>8
[4,7,3,6,2,1,8,5]=>0000000=>8
[5,4,3,7,1,8,2,6]=>0000000=>8
[7,3,8,5,1,4,2,6]=>0000000=>8
[5,4,8,7,6,2,1,3]=>0000000=>8
[3,8,1,5,7,4,6,2]=>0000000=>8
[4,8,5,7,3,1,6,2]=>0000000=>8
[1,5,4,8,3,7,6,2]=>1000000=>1
[4,8,3,6,7,1,5,2]=>0000000=>8
[4,7,8,3,1,6,5,2]=>0000000=>8
[8,7,5,3,6,4,2,1]=>0000000=>8
[4,6,1,3,8,7,5,2]=>0000000=>8
[6,8,2,1,7,4,5,3]=>0000000=>8
[3,7,1,6,4,2,8,5]=>0000000=>8
[3,1,2,7,5,6,8,4]=>0010000=>3
[3,6,1,2,7,5,8,4]=>0000000=>8
[3,7,6,2,5,8,1,4]=>0000000=>8
[3,6,2,5,8,7,4,1]=>0000000=>8
[8,5,2,3,6,7,4,1]=>0000000=>8
[4,7,2,6,3,8,1,5]=>0000000=>8
[6,3,2,4,8,7,5,1]=>0000000=>8
[3,7,2,4,6,1,8,5]=>0000000=>8
[5,3,7,2,8,1,4,6]=>0000000=>8
[6,3,2,8,7,5,1,4]=>0000000=>8
[7,3,8,2,6,5,1,4]=>0000000=>8
[6,4,8,7,2,5,1,3]=>0000000=>8
[2,5,4,8,1,7,6,3]=>0000000=>8
[5,2,8,1,7,6,3,4]=>0000000=>8
[6,2,1,3,8,7,5,4]=>0000000=>8
[3,6,1,8,7,5,2,4]=>0000000=>8
[5,6,1,2,8,7,4,3]=>0000000=>8
[7,5,2,8,1,6,4,3]=>0000000=>8
[2,7,6,8,1,5,4,3]=>0000000=>8
[7,8,5,1,6,2,4,3]=>0000000=>8
[7,4,8,6,1,2,5,3]=>0000000=>8
[7,2,1,8,3,6,5,4]=>0000000=>8
[5,8,7,1,6,4,3,2]=>0000000=>8
[7,6,5,4,3,2,9,8,1]=>00000000=>9
[11,9,8,7,6,5,4,3,2,1,10]=>0000000000=>11
[10,7,6,5,4,3,2,1,9,8]=>000000000=>10
[9,6,5,4,3,2,8,1,7]=>00000000=>9
[9,7,5,4,3,2,1,8,6]=>00000000=>9
[8,5,4,3,7,2,1,6]=>0000000=>8
[6,5,4,8,3,2,7,1]=>0000000=>8
[7,6,5,4,3,9,2,8,1]=>00000000=>9
[7,6,4,3,2,8,5,1]=>0000000=>8
[8,6,5,4,3,2,9,7,1]=>00000000=>9
[8,7,6,5,4,3,2,10,9,1]=>000000000=>10
[10,9,8,7,6,5,4,3,2,11,1]=>0000000000=>11
[7,3,1,4,8,2,5,6]=>0000000=>8
[7,4,1,2,5,8,3,6]=>0000000=>8
[6,7,4,2,5,1,3,8]=>0000001=>7
[5,7,2,4,6,8,1,3]=>0000000=>8
[4,7,5,1,6,2,8,3]=>0000000=>8
[5,7,4,6,3,1,8,2]=>0000000=>8
[7,5,1,4,3,2,8,6]=>0000000=>8
[8,6,4,2,3,7,5,1]=>0000000=>8
[6,4,7,1,3,8,5,2]=>0000000=>8
[5,4,2,7,3,1,6,8]=>0000001=>7
[4,5,1,2,7,6,8,3]=>0000000=>8
[5,4,6,8,3,1,2,7]=>0000000=>8
[6,4,8,1,3,7,2,5]=>0000000=>8
[4,6,1,3,8,5,2,7]=>0000000=>8
[1,3,8,4,5,7,2,6]=>1000000=>1
[2,6,7,4,5,3,1,8]=>0000001=>7
[2,6,8,4,3,5,1,7]=>0000000=>8
[1,3,7,4,2,8,5,6]=>1000000=>1
[4,6,1,3,7,2,5,8]=>0000001=>7
[7,5,8,6,2,1,3,4]=>0000000=>8
[2,8,1,3,6,5,4,7]=>0000000=>8
[2,8,7,3,5,4,1,6]=>0000000=>8
[3,4,2,6,8,7,1,5]=>0000000=>8
[7,4,2,3,6,1,8,5]=>0000000=>8
[8,4,2,3,6,5,7,1]=>0000000=>8
[7,3,8,4,1,2,6,5]=>0000000=>8
[6,8,3,2,7,1,5,4]=>0000000=>8
[2,8,5,6,3,7,1,4]=>0000000=>8
[7,4,2,5,8,1,6,3]=>0000000=>8
[2,7,8,3,4,5,1,6]=>0000000=>8
[3,7,1,2,4,6,5,8]=>0000001=>7
[7,5,6,8,2,1,4,3]=>0000000=>8
[3,1,6,5,2,7,4,8]=>0000001=>7
[2,8,6,5,3,4,1,7]=>0000000=>8
[1,7,2,3,5,6,8,4]=>1000000=>1
[3,7,4,2,1,5,6,8]=>0000001=>7
[3,4,6,2,8,5,7,1]=>0000000=>8
[4,2,1,7,5,8,3,6]=>0000000=>8
[4,7,2,6,5,1,3,8]=>0000001=>7
[3,7,4,1,2,5,8,6]=>0000000=>8
[4,7,1,6,5,2,8,3]=>0000000=>8
[4,7,3,6,5,1,8,2]=>0000000=>8
[4,3,7,1,6,8,5,2]=>0000000=>8
[4,2,1,7,5,6,8,3]=>0000000=>8
[3,2,4,8,6,7,1,5]=>0000000=>8
[4,2,6,8,7,3,1,5]=>0000000=>8
[3,4,6,1,8,5,2,7]=>0000000=>8
[4,1,6,7,5,8,2,3]=>0000000=>8
[4,3,6,7,5,1,2,8]=>0000001=>7
[4,3,7,1,6,8,2,5]=>0000000=>8
[4,3,7,5,6,8,2,1]=>0000000=>8
[4,1,7,3,6,5,2,8]=>0000001=>7
[2,8,7,4,5,3,1,6]=>0000000=>8
[2,8,7,4,3,5,1,6]=>0000000=>8
[3,8,1,4,2,6,5,7]=>0000000=>8
[4,1,7,3,6,2,5,8]=>0000001=>7
[5,8,7,6,1,2,4,3]=>0000000=>8
[5,8,7,6,2,1,3,4]=>0000000=>8
[4,1,7,2,6,8,5,3]=>0000000=>8
[4,2,7,3,6,1,8,5]=>0000000=>8
[4,2,7,3,6,5,8,1]=>0000000=>8
[3,8,2,4,5,6,7,1]=>0000000=>8
[3,8,2,4,1,6,7,5]=>0000000=>8
[3,8,5,6,2,4,1,7]=>0000000=>8
[2,8,6,5,3,7,1,4]=>0000000=>8
[3,8,6,5,1,4,7,2]=>0000000=>8
[3,8,2,1,4,6,7,5]=>0000000=>8
[3,8,2,5,4,6,7,1]=>0000000=>8
[4,2,7,5,6,3,8,1]=>0000000=>8
[4,2,7,5,6,1,8,3]=>0000000=>8
[4,2,6,7,5,3,1,8]=>0000001=>7
[3,2,6,1,4,5,8,7]=>0000010=>6
[2,8,7,3,4,5,1,6]=>0000000=>8
[3,8,1,2,4,6,5,7]=>0000000=>8
[5,8,7,6,1,3,4,2]=>0000000=>8
[5,8,7,6,2,3,4,1]=>0000000=>8
[4,1,7,5,6,2,3,8]=>0000001=>7
[3,8,1,5,2,6,4,7]=>0000000=>8
[2,8,7,5,3,4,1,6]=>0000000=>8
[2,8,7,5,4,3,1,6]=>0000000=>8
[4,1,7,5,6,3,2,8]=>0000001=>7
[5,8,7,6,1,3,2,4]=>0000000=>8
[5,8,7,6,4,1,2,3]=>0000000=>8
[7,4,3,5,2,8,1,6]=>0000000=>8
[5,4,1,7,3,6,8,2]=>0000000=>8
[3,4,7,6,2,5,8,1]=>0000000=>8
[5,7,6,4,3,1,8,2]=>0000000=>8
[5,7,6,3,1,4,8,2]=>0000000=>8
[3,2,8,6,7,1,4,5]=>0000000=>8
[4,8,3,6,5,2,1,7]=>0000000=>8
[1,8,7,2,3,5,4,6]=>1000000=>1
[1,8,7,2,5,3,4,6]=>1000000=>1
[3,6,8,5,1,2,4,7]=>0000000=>8
[7,1,2,8,3,5,6,4]=>0000000=>8
[5,6,8,4,7,3,2,1]=>0000000=>8
[6,4,7,8,5,2,1,3]=>0000000=>8
[7,4,3,8,2,6,5,1]=>0000000=>8
[8,7,1,3,5,4,6,2]=>0000000=>8
[5,8,2,6,3,1,4,7]=>0000000=>8
[8,1,7,2,4,5,3,6]=>0000000=>8
[8,1,3,6,2,5,4,7]=>0000000=>8
[7,2,1,6,3,5,4,8]=>0000001=>7
[2,7,1,6,3,5,4,8]=>0000001=>7
[2,7,1,5,4,3,6,8]=>0000001=>7
[7,2,1,5,4,3,6,8]=>0000001=>7
[8,1,3,5,4,2,6,7]=>0000000=>8
[8,1,5,3,4,2,6,7]=>0000000=>8
[8,1,5,6,2,3,7,4]=>0000000=>8
[8,1,4,5,3,2,6,7]=>0000000=>8
[8,1,4,3,5,2,6,7]=>0000000=>8
[7,2,1,4,5,3,6,8]=>0000001=>7
[2,7,1,4,5,3,6,8]=>0000001=>7
[2,6,3,1,5,4,7,8]=>0000011=>6
[6,3,2,1,5,4,7,8]=>0000011=>6
[7,3,1,4,5,2,6,8]=>0000001=>7
[7,3,1,5,4,2,6,8]=>0000001=>7
[7,3,1,6,2,5,4,8]=>0000001=>7
[3,7,1,6,2,5,4,8]=>0000001=>7
[3,7,1,4,5,2,6,8]=>0000001=>7
[3,6,2,1,5,4,7,8]=>0000011=>6
[2,3,6,1,5,4,7,8]=>0000011=>6
[3,5,2,4,1,6,7,8]=>0000111=>5
[6,3,4,1,5,2,7,8]=>0000011=>6
[6,2,4,1,5,3,7,8]=>0000011=>6
[2,6,4,1,5,3,7,8]=>0000011=>6
[2,6,5,1,3,7,4,8]=>0000001=>7
[6,2,5,1,3,7,4,8]=>0000001=>7
[6,5,2,1,3,7,4,8]=>0000001=>7
[7,6,1,2,4,5,3,8]=>0000001=>7
[6,7,1,2,8,3,5,4]=>0000000=>8
[6,7,1,2,5,4,3,8]=>0000001=>7
[5,6,2,1,3,7,4,8]=>0000001=>7
[5,2,6,1,3,7,4,8]=>0000001=>7
[2,4,6,1,5,3,7,8]=>0000011=>6
[4,7,1,3,5,2,6,8]=>0000001=>7
[4,7,1,5,3,2,6,8]=>0000001=>7
[5,7,1,4,2,6,3,8]=>0000001=>7
[5,7,1,6,2,3,8,4]=>0000000=>8
[5,6,3,1,2,7,4,8]=>0000001=>7
[4,2,5,3,1,6,7,8]=>0000111=>5
[5,3,6,1,2,7,4,8]=>0000001=>7
[3,4,6,1,5,2,7,8]=>0000011=>6
[6,5,1,8,7,3,4,2]=>0000000=>8
[8,2,7,5,4,1,3,6]=>0000000=>8
[8,5,6,2,7,1,4,3]=>0000000=>8
[7,6,1,5,3,8,4,2]=>0000000=>8
[5,8,6,1,7,2,4,3]=>0000000=>8
[5,8,7,3,2,6,4,1]=>0000000=>8
[8,1,7,2,5,6,3,4]=>0000000=>8
[4,8,1,5,2,6,7,3]=>0000000=>8
[7,1,2,8,5,6,3,4]=>0000000=>8
[8,7,2,1,5,6,3,4]=>0000000=>8
[8,6,7,1,5,2,3,4]=>0000000=>8
[6,1,7,8,5,2,3,4]=>0000000=>8
[7,5,6,2,1,8,4,3]=>0000000=>8
[8,7,5,2,1,6,4,3]=>0000000=>8
[4,6,7,8,5,1,3,2]=>0000000=>8
[4,6,8,1,5,3,7,2]=>0000000=>8
[6,5,8,1,3,4,7,2]=>0000000=>8
[5,6,8,3,1,2,7,4]=>0000000=>8
[8,7,1,3,5,6,2,4]=>0000000=>8
[6,7,8,3,5,1,2,4]=>0000000=>8
[3,4,8,1,2,6,7,5]=>0000000=>8
[5,8,2,4,3,6,7,1]=>0000000=>8
[3,4,6,5,1,8,2,7]=>0000000=>8
[2,6,3,5,1,8,7,4]=>0000000=>8
[3,2,8,7,5,1,6,4]=>0000000=>8
[3,8,5,1,6,7,2,4]=>0000000=>8
[5,6,7,2,8,1,3,4]=>0000000=>8
[6,2,1,5,3,8,7,4]=>0000000=>8
[8,7,6,2,5,3,1,4]=>0000000=>8
[4,7,6,8,3,2,5,1]=>0000000=>8
[7,6,2,8,5,1,4,3]=>0000000=>8
[8,1,3,7,5,2,6,4]=>0000000=>8
[3,4,8,7,5,1,6,2]=>0000000=>8
[6,3,8,5,7,4,1,2]=>0000000=>8
[7,1,5,8,2,6,4,3]=>0000000=>8
[3,6,8,2,4,1,7,5]=>0000000=>8
[2,5,8,4,6,7,3,1]=>0000000=>8
[2,8,5,7,4,1,3,6]=>0000000=>8
[5,8,4,1,6,7,2,3]=>0000000=>8
[6,2,7,3,8,4,1,5]=>0000000=>8
[7,4,3,2,8,5,1,6]=>0000000=>8
[5,3,2,8,4,6,1,7]=>0000000=>8
[8,4,2,6,5,3,1,7]=>0000000=>8
[7,4,2,5,3,1,6,8]=>0000001=>7
[8,3,6,2,5,4,1,7]=>0000000=>8
[5,4,8,3,2,6,1,7]=>0000000=>8
[3,5,8,2,4,6,1,7]=>0000000=>8
[6,4,7,8,2,3,1,5]=>0000000=>8
[5,8,3,6,4,2,1,7]=>0000000=>8
[4,8,6,2,5,3,1,7]=>0000000=>8
[1,6,4,3,2,8,7,5]=>1000000=>1
[1,5,3,2,8,4,7,6]=>1000000=>1
[5,7,4,3,1,2,6,8]=>0000001=>7
[2,8,7,3,5,1,4,6]=>0000000=>8
[7,3,8,6,4,1,2,5]=>0000000=>8
[6,1,2,7,3,8,5,4]=>0000000=>8
[2,1,7,4,3,8,6,5]=>0100000=>2
[6,1,4,3,8,2,7,5]=>0000000=>8
[5,1,3,2,8,7,4,6]=>0000000=>8
[1,8,4,2,7,6,5,3]=>1000000=>1
[1,8,3,7,2,6,5,4]=>1000000=>1
[5,1,4,8,3,7,2,6]=>0000000=>8
[2,1,6,8,5,4,7,3]=>0100000=>2
[6,1,5,7,8,2,4,3]=>0000000=>8
[8,3,1,6,7,2,5,4]=>0000000=>8
[7,4,8,6,1,3,2,5]=>0000000=>8
[4,7,6,1,2,5,3,8]=>0000001=>7
[3,7,6,1,5,2,4,8]=>0000001=>7
[1,5,4,8,3,2,7,6]=>1000000=>1
[7,3,6,1,2,5,4,8]=>0000001=>7
[5,4,7,1,3,2,6,8]=>0000001=>7
[5,7,4,8,2,1,3,6]=>0000000=>8
[4,6,8,2,5,1,3,7]=>0000000=>8
[7,4,6,2,1,5,3,8]=>0000001=>7
[1,2,6,3,8,5,7,4]=>1100000=>1
[1,5,2,6,8,4,7,3]=>1000000=>1
[5,7,2,3,8,1,4,6]=>0000000=>8
[6,4,7,5,8,1,2,3]=>0000000=>8
[7,4,8,5,1,6,3,2]=>0000000=>8
[5,8,3,6,1,7,4,2]=>0000000=>8
[8,6,4,2,1,7,5,3]=>0000000=>8
[7,4,2,1,5,8,6,3]=>0000000=>8
[7,6,4,1,8,5,2,3]=>0000000=>8
[1,6,4,8,7,5,3,2]=>1000000=>1
[6,3,1,2,8,4,7,5]=>0000000=>8
[7,5,1,3,2,8,6,4]=>0000000=>8
[4,7,1,2,5,8,6,3]=>0000000=>8
[6,8,4,1,2,7,5,3]=>0000000=>8
[7,5,8,1,2,6,4,3]=>0000000=>8
[7,4,8,1,6,3,5,2]=>0000000=>8
[5,8,2,1,7,3,6,4]=>0000000=>8
[3,6,1,8,2,4,7,5]=>0000000=>8
[1,3,8,7,6,2,5,4]=>1000000=>1
[5,4,1,8,7,3,2,6]=>0000000=>8
[3,5,1,8,7,2,4,6]=>0000000=>8
[4,6,1,8,3,7,2,5]=>0000000=>8
[4,7,1,2,8,6,3,5]=>0000000=>8
[5,8,4,1,7,6,2,3]=>0000000=>8
[7,6,8,1,5,4,2,3]=>0000000=>8
[8,6,1,7,5,4,3,2]=>0000000=>8
[7,1,5,8,6,4,3,2]=>0000000=>8
[5,1,8,7,3,6,4,2]=>0000000=>8
[4,1,8,7,6,2,5,3]=>0000000=>8
[3,1,8,7,6,5,2,4]=>0000000=>8
[1,6,4,5,2,3,7,8]=>1000011=>1
[1,7,4,5,2,3,6,8]=>1000001=>1
[1,7,3,5,2,4,6,8]=>1000001=>1
[1,6,3,5,2,4,7,8]=>1000011=>1
[1,6,3,4,2,5,7,8]=>1000011=>1
[1,7,3,4,2,5,6,8]=>1000001=>1
[1,8,6,7,3,4,2,5]=>1000000=>1
[1,8,5,7,3,4,2,6]=>1000000=>1
[1,7,3,4,2,6,5,8]=>1000001=>1
[1,5,2,8,4,7,3,6]=>1000000=>1
[1,4,2,8,5,7,3,6]=>1000000=>1
[1,7,3,5,2,6,4,8]=>1000001=>1
[1,8,4,7,3,5,2,6]=>1000000=>1
[1,7,3,6,2,5,4,8]=>1000001=>1
[1,7,3,6,2,4,5,8]=>1000001=>1
[1,7,4,6,2,3,5,8]=>1000001=>1
[1,8,5,6,2,3,4,7]=>1000000=>1
[1,8,5,6,2,4,3,7]=>1000000=>1
[1,3,2,8,5,6,4,7]=>1010000=>1
[1,4,2,8,5,6,3,7]=>1000000=>1
[1,5,2,8,4,6,3,7]=>1000000=>1
[1,6,2,8,4,5,3,7]=>1000000=>1
[9,1,2,3,5,4,6,7,8]=>00000000=>9
[8,1,2,4,5,3,6,7]=>0000000=>8
[2,3,4,6,5,7,8,9,1]=>00000000=>9
[10,1,2,3,4,6,5,7,8,9]=>000000000=>10
[9,1,2,3,5,6,4,7,8]=>00000000=>9
[2,3,4,7,5,6,8,9,1]=>00000000=>9
[2,3,4,6,7,5,8,9,1]=>00000000=>9
[2,3,4,5,7,6,8,9,10,1]=>000000000=>10
[9,10,5,6,7,8,3,4,1,2]=>000000000=>10
[5,8,9,6,7,10,3,4,1,2]=>000000000=>10
[9,10,7,8,3,4,5,6,1,2]=>000000000=>10
[9,10,3,6,7,4,5,8,1,2]=>000000000=>10
[3,8,9,6,7,4,5,10,1,2]=>000000000=>10
[3,6,7,8,9,4,5,10,1,2]=>000000000=>10
[9,10,3,4,5,6,7,8,1,2]=>000000000=>10
[3,8,9,4,5,6,7,10,1,2]=>000000000=>10
[3,4,7,8,5,6,9,10,1,2]=>000000000=>10
[7,8,9,10,5,6,1,2,3,4]=>000000000=>10
[5,8,9,6,7,10,1,2,3,4]=>000000000=>10
[9,10,7,8,1,4,5,2,3,6]=>000000000=>10
[7,8,9,10,1,4,5,2,3,6]=>000000000=>10
[9,10,1,6,7,4,5,2,3,8]=>000000000=>10
[1,8,9,6,7,4,5,2,3,10]=>100000001=>1
[1,6,7,8,9,4,5,2,3,10]=>100000001=>1
[9,10,1,4,5,6,7,2,3,8]=>000000000=>10
[1,8,9,4,5,6,7,2,3,10]=>100000001=>1
[1,4,7,8,5,6,9,2,3,10]=>100000001=>1
[1,4,5,6,7,8,9,2,3,10]=>100000001=>1
[9,10,1,6,7,2,3,4,5,8]=>000000000=>10
[1,8,9,6,7,2,3,4,5,10]=>100000001=>1
[1,6,7,8,9,2,3,4,5,10]=>100000001=>1
[9,10,1,2,5,6,3,4,7,8]=>000000000=>10
[1,8,9,2,5,6,3,4,7,10]=>100000001=>1
[1,2,7,8,5,6,3,4,9,10]=>110000011=>1
[1,2,5,6,7,8,3,4,9,10]=>110000011=>1
[1,8,9,2,3,4,5,6,7,10]=>100000001=>1
[1,2,7,8,3,4,5,6,9,10]=>110000011=>1
[1,2,3,6,7,4,5,8,9,10]=>111000111=>1
[8,6,4,7,2,1,3,5]=>0000000=>8
[1,6,4,7,2,8,3,5]=>1000000=>1
[1,4,7,3,5,8,2,6]=>1000000=>1
[8,4,6,2,3,5,1,7]=>0000000=>8
[5,4,8,2,3,6,1,7]=>0000000=>8
[7,4,8,5,2,3,1,6]=>0000000=>8
[3,8,6,2,4,5,1,7]=>0000000=>8
[4,8,6,2,3,5,1,7]=>0000000=>8
[1,7,5,3,4,8,2,6]=>1000000=>1
[1,7,6,4,8,2,3,5]=>1000000=>1
[5,8,7,4,1,2,3,6]=>0000000=>8
[6,8,5,3,4,1,2,7]=>0000000=>8
[6,8,3,7,2,1,4,5]=>0000000=>8
[8,5,1,6,3,7,2,4]=>0000000=>8
[6,1,3,7,4,8,2,5]=>0000000=>8
[4,1,7,3,5,8,2,6]=>0000000=>8
[7,1,6,4,8,2,3,5]=>0000000=>8
[1,8,5,7,2,3,4,6]=>1000000=>1
[6,1,5,8,2,3,4,7]=>0000000=>8
[5,1,7,3,8,2,4,6]=>0000000=>8
[6,1,5,7,8,2,3,4]=>0000000=>8
[7,4,8,6,1,2,3,5]=>0000000=>8
[3,8,7,5,1,2,4,6]=>0000000=>8
[3,7,6,1,2,4,5,8]=>0000001=>7
[4,7,6,1,2,3,5,8]=>0000001=>7
[1,6,5,8,2,3,4,7]=>1000000=>1
[6,5,8,4,1,2,3,7]=>0000000=>8
[8,5,7,4,1,2,3,6]=>0000000=>8
[1,5,7,4,8,2,3,6]=>1000000=>1
[7,6,4,8,2,1,3,5]=>0000000=>8
[7,6,2,3,8,1,4,5]=>0000000=>8
[7,4,8,5,1,6,2,3]=>0000000=>8
[8,6,2,3,1,7,4,5]=>0000000=>8
[8,6,4,1,2,7,3,5]=>0000000=>8
[1,7,2,8,6,3,4,5]=>1000000=>1
[7,6,1,3,8,2,4,5]=>0000000=>8
[7,5,8,1,3,6,2,4]=>0000000=>8
[5,4,1,8,2,3,6,7]=>0000000=>8
[1,4,8,7,2,3,5,6]=>1000000=>1
[1,5,8,7,2,3,4,6]=>1000000=>1
[6,5,1,8,2,3,4,7]=>0000000=>8
[5,7,1,3,8,2,4,6]=>0000000=>8
[7,6,8,1,5,2,3,4]=>0000000=>8
[7,1,5,8,6,2,3,4]=>0000000=>8
[6,1,8,2,7,3,4,5]=>0000000=>8
[4,1,8,7,2,3,5,6]=>0000000=>8
[5,1,8,7,2,3,4,6]=>0000000=>8
[1,8,7,6,4,5,3,2]=>1000000=>1
[9,8,7,6,4,5,3,2,1,10]=>000000001=>9
[1,8,7,3,6,5,4,2]=>1000000=>1
[7,1,5,8,3,4,2,6]=>0000000=>8
[7,1,4,3,2,5,6,8]=>0000001=>7
[6,4,2,3,8,5,7,1]=>0000000=>8
[6,4,2,7,5,8,3,1]=>0000000=>8
[2,4,1,7,5,8,3,6]=>0000000=>8
[7,1,4,6,5,2,3,8]=>0000001=>7
[7,1,4,6,5,8,2,3]=>0000000=>8
[7,1,4,6,3,8,2,5]=>0000000=>8
[7,1,4,3,2,5,8,6]=>0000000=>8
[7,1,4,6,5,2,8,3]=>0000000=>8
[7,1,4,6,5,3,8,2]=>0000000=>8
[7,1,4,6,5,3,2,8]=>0000001=>7
[6,4,2,7,5,3,8,1]=>0000000=>8
[3,4,7,2,6,8,5,1]=>0000000=>8
[3,4,7,1,6,8,2,5]=>0000000=>8
[3,4,7,1,6,8,5,2]=>0000000=>8
[2,4,1,7,5,3,6,8]=>0000001=>7
[3,4,1,7,8,6,2,5]=>0000000=>8
[6,4,2,3,8,5,1,7]=>0000000=>8
[6,4,2,7,5,8,1,3]=>0000000=>8
[6,4,2,7,5,3,1,8]=>0000001=>7
[3,4,7,2,6,8,1,5]=>0000000=>8
[5,4,7,3,6,8,2,1]=>0000000=>8
[3,4,7,2,6,5,1,8]=>0000001=>7
[4,8,3,2,5,6,1,7]=>0000000=>8
[4,8,7,3,5,1,2,6]=>0000000=>8
[4,8,7,1,3,5,2,6]=>0000000=>8
[4,8,3,1,2,6,5,7]=>0000000=>8
[3,4,7,1,6,2,5,8]=>0000001=>7
[3,4,7,1,6,2,8,5]=>0000000=>8
[3,4,7,2,6,5,8,1]=>0000000=>8
[4,8,3,1,2,6,7,5]=>0000000=>8
[5,8,1,6,3,4,2,7]=>0000000=>8
[6,8,5,1,3,7,2,4]=>0000000=>8
[6,8,5,1,3,4,7,2]=>0000000=>8
[5,8,3,4,2,6,7,1]=>0000000=>8
[5,4,7,3,6,2,8,1]=>0000000=>8
[5,4,7,2,6,1,8,3]=>0000000=>8
[6,4,3,7,5,1,2,8]=>0000001=>7
[6,4,3,7,5,1,8,2]=>0000000=>8
[6,2,4,3,1,5,8,7]=>0000010=>6
[3,8,7,4,1,5,2,6]=>0000000=>8
[2,4,7,3,6,1,5,8]=>0000001=>7
[5,8,3,2,1,6,4,7]=>0000000=>8
[5,8,7,4,3,1,2,6]=>0000000=>8
[5,4,7,3,6,2,1,8]=>0000001=>7
[7,3,8,2,1,6,5,4]=>0000000=>8
[7,4,3,8,5,2,1,6]=>0000000=>8
[6,5,2,8,4,3,1,7]=>0000000=>8
[4,3,2,8,6,5,1,7]=>0000000=>8
[4,3,8,7,5,1,6,2]=>0000000=>8
[3,2,5,8,6,1,4,7]=>0000000=>8
[8,4,3,7,5,2,6,1]=>0000000=>8
[4,3,7,8,5,1,2,6]=>0000000=>8
[5,3,7,8,4,1,2,6]=>0000000=>8
[6,2,5,8,3,1,4,7]=>0000000=>8
[6,2,4,8,3,1,5,7]=>0000000=>8
[5,2,3,8,4,1,6,7]=>0000000=>8
[5,3,8,7,4,1,6,2]=>0000000=>8
[5,3,2,8,6,4,1,7]=>0000000=>8
[7,5,3,8,4,2,1,6]=>0000000=>8
[7,5,4,3,8,2,6,1]=>0000000=>8
[6,4,5,3,8,2,7,1]=>0000000=>8
[6,5,8,3,4,2,7,1]=>0000000=>8
[7,5,8,4,6,2,3,1]=>0000000=>8
[7,4,8,3,6,2,5,1]=>0000000=>8
[7,4,8,3,5,2,6,1]=>0000000=>8
[6,4,8,3,5,2,7,1]=>0000000=>8
[5,4,8,3,7,2,6,1]=>0000000=>8
[5,4,6,3,8,2,7,1]=>0000000=>8
[5,3,6,2,4,7,8,1]=>0000000=>8
[5,3,7,2,4,6,8,1]=>0000000=>8
[4,2,1,5,8,6,3,7]=>0000000=>8
[3,2,1,8,5,4,6,7]=>0010000=>3
[6,7,2,1,8,4,5,3]=>0000000=>8
[4,3,1,6,7,8,5,2]=>0000000=>8
[4,2,1,6,8,7,5,3]=>0000000=>8
[4,2,1,6,8,5,3,7]=>0000000=>8
[5,2,6,1,8,3,4,7]=>0000000=>8
[4,2,1,7,8,6,3,5]=>0000000=>8
[3,2,1,8,6,4,7,5]=>0010000=>3
[3,2,1,8,6,4,5,7]=>0010000=>3
[3,2,1,8,4,6,5,7]=>0010000=>3
[3,2,1,8,4,6,7,5]=>0010000=>3
[3,2,1,8,7,4,6,5]=>0010000=>3
[4,2,1,7,8,3,5,6]=>0000000=>8
[3,2,1,8,4,5,7,6]=>0010000=>3
[7,5,2,8,6,3,4,1]=>0000000=>8
[7,4,8,6,2,5,3,1]=>0000000=>8
[7,3,8,6,2,4,5,1]=>0000000=>8
[7,4,3,1,8,2,5,6]=>0000000=>8
[7,4,2,8,5,6,1,3]=>0000000=>8
[7,3,8,5,2,4,6,1]=>0000000=>8
[7,3,8,4,5,6,2,1]=>0000000=>8
[6,3,8,2,4,5,1,7]=>0000000=>8
[6,3,8,2,5,7,4,1]=>0000000=>8
[6,4,3,8,1,5,2,7]=>0000000=>8
[6,3,7,8,2,4,1,5]=>0000000=>8
[5,6,7,3,8,2,4,1]=>0000000=>8
[5,4,7,2,6,8,1,3]=>0000000=>8
[5,3,8,2,4,6,7,1]=>0000000=>8
[6,3,8,2,4,7,5,1]=>0000000=>8
[5,7,4,2,6,8,1,3]=>0000000=>8
[6,4,8,2,7,5,1,3]=>0000000=>8
[6,5,3,1,4,2,7,8]=>0000011=>6
[5,7,4,2,6,1,3,8]=>0000001=>7
[5,6,4,2,3,8,1,7]=>0000000=>8
[5,6,3,7,8,2,4,1]=>0000000=>8
[5,6,3,8,2,4,7,1]=>0000000=>8
[6,3,7,2,4,5,1,8]=>0000001=>7
[6,3,7,2,5,8,4,1]=>0000000=>8
[5,3,6,8,2,4,7,1]=>0000000=>8
[5,4,6,2,3,8,1,7]=>0000000=>8
[5,3,6,7,8,2,4,1]=>0000000=>8
[5,6,3,4,2,1,8,7]=>0000010=>6
[5,6,4,2,1,3,8,7]=>0000010=>6
[2,5,4,1,7,8,6,3]=>0000000=>8
[2,8,6,3,5,4,1,7]=>0000000=>8
[5,8,6,4,2,1,3,7]=>0000000=>8
[4,3,8,5,7,6,2,1]=>0000000=>8
[7,6,2,1,8,4,3,5]=>0000000=>8
[8,4,2,1,5,6,3,7]=>0000000=>8
[3,8,5,6,4,2,1,7]=>0000000=>8
[3,8,6,4,2,1,5,7]=>0000000=>8
[6,4,2,1,3,7,8,5]=>0000000=>8
[6,3,7,8,4,2,1,5]=>0000000=>8
[7,8,4,2,1,6,3,5]=>0000000=>8
[8,5,7,6,2,1,4,3]=>0000000=>8
[4,8,5,7,6,2,1,3]=>0000000=>8
[2,7,5,8,4,3,6,1]=>0000000=>8
[6,4,7,8,3,2,1,5]=>0000000=>8
[7,6,5,8,4,3,2,1,9]=>00000001=>8
[7,6,5,4,9,3,2,1,8]=>00000000=>9
[7,6,5,4,3,8,2,1,9]=>00000001=>8
[7,6,5,4,3,2,8,1,9]=>00000001=>8
[6,9,8,5,4,3,2,1,7]=>00000000=>9
[8,7,9,6,5,4,3,2,1,10]=>000000001=>9
[7,5,8,9,4,3,2,1,6]=>00000000=>9
[8,7,6,9,5,4,3,2,1,10]=>000000001=>9
[6,4,3,7,5,2,1,8]=>0000001=>7
[7,6,4,8,9,3,2,1,5]=>00000000=>9
[8,7,6,5,10,4,3,2,1,9]=>000000000=>10
[6,5,3,2,8,4,1,7]=>0000000=>8
[7,6,5,3,9,8,2,1,4]=>00000000=>9
[8,7,6,5,4,9,3,2,1,10]=>000000001=>9
[6,5,2,7,8,4,1,3]=>0000000=>8
[7,6,5,4,2,8,9,1,3]=>00000000=>9
[8,7,6,5,4,3,9,2,1,10]=>000000001=>9
[7,6,5,4,3,1,8,9,2]=>00000000=>9
[7,10,9,6,5,4,3,2,1,8]=>000000000=>10
[9,8,10,7,6,5,4,3,2,1,11]=>0000000001=>10
[6,5,8,7,4,3,2,1,9]=>00000001=>8
[8,6,9,10,5,4,3,2,1,7]=>000000000=>10
[9,8,7,10,6,5,4,3,2,1,11]=>0000000001=>10
[7,5,4,8,6,3,2,1,9]=>00000001=>8
[5,9,8,7,4,3,2,1,6]=>00000000=>9
[8,7,5,9,10,4,3,2,1,6]=>000000000=>10
[9,8,7,6,11,5,4,3,2,1,10]=>0000000000=>11
[6,4,3,2,5,8,1,7]=>0000000=>8
[7,6,4,3,9,5,2,1,8]=>00000000=>9
[7,4,8,9,6,3,2,1,5]=>00000000=>9
[8,7,6,4,10,9,3,2,1,5]=>000000000=>10
[9,8,7,6,5,10,4,3,2,1,11]=>0000000001=>10
[6,3,7,2,5,4,1,8]=>0000001=>7
[7,6,5,3,2,8,4,1,9]=>00000001=>8
[7,6,3,8,9,5,2,1,4]=>00000000=>9
[8,7,6,5,3,9,10,2,1,4]=>000000000=>10
[9,8,7,6,5,4,10,3,2,1,11]=>0000000001=>10
[7,6,5,4,2,1,8,3,9]=>00000001=>8
[6,3,2,7,5,4,1,8]=>0000001=>7
[7,6,5,2,9,8,4,1,3]=>00000000=>9
[8,7,6,5,4,2,9,10,1,3]=>000000000=>10
[9,8,7,6,5,4,3,11,2,1,10]=>0000000000=>11
[7,6,5,4,1,8,9,3,2]=>00000000=>9
[8,7,6,5,4,3,1,10,9,2]=>000000000=>10
[9,8,7,6,5,4,3,2,10,1,11]=>0000000001=>10
[9,8,7,6,5,4,3,2,1,10,11]=>0000000011=>9
[8,4,2,6,3,1,7,5]=>0000000=>8
[1,5,3,7,4,2,8,6]=>1000000=>1
[1,6,7,3,4,2,8,5]=>1000000=>1
[8,6,5,2,3,1,7,4]=>0000000=>8
[1,7,6,3,4,2,8,5]=>1000000=>1
[1,8,6,3,2,5,7,4]=>1000000=>1
[8,7,5,2,1,4,6,3]=>0000000=>8
[7,8,5,2,1,4,6,3]=>0000000=>8
[6,8,5,2,3,1,7,4]=>0000000=>8
[5,8,6,2,3,1,7,4]=>0000000=>8
[4,8,2,6,3,1,7,5]=>0000000=>8
[3,2,8,6,4,1,7,5]=>0000000=>8
[3,2,1,7,5,4,8,6]=>0010000=>3
[4,1,3,7,5,2,8,6]=>0000000=>8
[5,1,7,3,4,2,8,6]=>0000000=>8
[7,1,6,3,2,5,8,4]=>0000000=>8
[1,2,7,4,3,6,8,5]=>1100000=>1
[6,1,8,2,4,5,7,3]=>0000000=>8
[5,1,8,3,2,6,7,4]=>0000000=>8
[3,2,8,7,1,5,6,4]=>0000000=>8
[4,8,2,7,1,5,6,3]=>0000000=>8
[5,8,7,2,1,4,6,3]=>0000000=>8
[6,8,7,1,3,4,5,2]=>0000000=>8
[7,8,6,1,3,4,5,2]=>0000000=>8
[1,7,8,2,4,5,6,3]=>1000000=>1
[8,6,7,1,3,4,5,2]=>0000000=>8
[7,6,8,1,3,4,5,2]=>0000000=>8
[6,5,8,2,3,1,7,4]=>0000000=>8
[1,6,8,3,2,5,7,4]=>1000000=>1
[1,5,3,8,2,6,7,4]=>1000000=>1
[8,4,2,7,1,5,6,3]=>0000000=>8
[7,4,2,8,1,5,6,3]=>0000000=>8
[6,4,2,8,3,1,7,5]=>0000000=>8
[5,4,2,3,8,1,7,6]=>0000000=>8
[4,5,2,3,1,6,8,7]=>0000110=>5
[7,4,2,1,3,6,8,5]=>0000000=>8
[8,4,2,1,3,6,7,5]=>0000000=>8
[1,5,3,2,4,7,8,6]=>1000100=>1
[8,5,1,3,2,6,7,4]=>0000000=>8
[5,6,1,3,4,2,8,7]=>0000010=>6
[4,6,2,1,5,3,8,7]=>0000010=>6
[4,7,2,1,3,6,8,5]=>0000000=>8
[5,7,1,3,2,6,8,4]=>0000000=>8
[6,7,1,2,4,5,8,3]=>0000000=>8
[8,6,1,2,4,5,7,3]=>0000000=>8
[1,8,2,3,5,6,7,4]=>1000000=>1
[8,7,1,2,4,5,6,3]=>0000000=>8
[7,8,1,2,4,5,6,3]=>0000000=>8
[5,8,1,3,2,6,7,4]=>0000000=>8
[4,8,2,1,3,6,7,5]=>0000000=>8
[4,1,3,2,5,7,8,6]=>0001100=>4
[5,1,2,4,3,7,8,6]=>0000100=>5
[5,4,8,1,2,3,7,6]=>0000000=>8
[1,4,7,6,3,2,5,8]=>1000001=>1
[4,8,3,2,7,6,1,5]=>0000000=>8
[4,3,8,2,7,1,6,5]=>0000000=>8
[4,3,2,8,1,7,6,5]=>0000000=>8
[4,1,8,7,3,2,5,6]=>0000000=>8
[4,7,8,1,2,5,3,6]=>0000000=>8
[2,3,6,7,4,1,8,5]=>0000000=>8
[2,6,3,4,7,8,1,5]=>0000000=>8
[3,1,7,8,4,2,5,6]=>0000000=>8
[3,7,8,2,6,4,1,5]=>0000000=>8
[3,7,2,4,8,6,1,5]=>0000000=>8
[1,3,6,4,7,2,5,8]=>1000001=>1
[4,7,1,5,8,2,3,6]=>0000000=>8
[2,6,7,3,8,4,1,5]=>0000000=>8
[3,4,6,7,8,5,1,2]=>0000000=>8
[1,2,6,4,7,5,8,3]=>1100000=>1
[3,1,7,5,4,2,6,8]=>0000001=>7
[6,3,8,5,4,7,1,2]=>0000000=>8
[1,6,2,5,4,7,8,3]=>1000000=>1
[1,8,2,5,6,3,7,4]=>1000000=>1
[1,2,6,4,8,5,7,3]=>1100000=>1
[7,8,3,1,4,2,5,6]=>0000000=>8
[4,8,1,5,2,3,6,7]=>0000000=>8
[7,4,1,5,2,3,6,8]=>0000001=>7
[5,6,1,8,4,3,2,7]=>0000000=>8
[5,1,8,6,4,3,2,7]=>0000000=>8
[5,1,6,3,8,7,2,4]=>0000000=>8
[6,1,2,5,8,3,7,4]=>0000000=>8
[6,1,8,7,4,3,2,5]=>0000000=>8
[7,1,2,5,4,8,6,3]=>0000000=>8
[1,2,7,5,8,3,6,4]=>1100000=>1
[4,1,6,3,7,5,2,8]=>0000001=>7
[1,3,6,7,8,5,2,4]=>1000000=>1
[1,2,6,4,7,8,5,3]=>1100000=>1
[4,1,6,3,7,8,2,5]=>0000000=>8
[3,1,6,4,8,2,7,5]=>0000000=>8
[7,8,4,1,6,3,2,5]=>0000000=>8
[4,1,6,3,8,7,2,5]=>0000000=>8
[7,5,1,8,4,3,2,6]=>0000000=>8
[6,5,1,7,4,3,2,8]=>0000001=>7
[4,1,8,5,2,3,7,6]=>0000000=>8
[4,1,6,8,3,7,2,5]=>0000000=>8
[5,4,6,1,3,8,2,7]=>0000000=>8
[6,5,8,1,4,3,2,7]=>0000000=>8
[1,3,5,7,4,6,8,2]=>1000000=>1
[1,3,5,4,7,2,6,8]=>1000001=>1
[1,3,5,4,7,8,2,6]=>1000000=>1
[1,3,5,4,7,2,8,6]=>1000000=>1
[1,3,5,7,8,4,2,6]=>1000000=>1
[1,6,3,2,7,4,8,5]=>1000000=>1
[3,5,1,6,2,8,7,4]=>0000000=>8
[1,3,7,2,5,4,8,6]=>1000000=>1
[1,3,7,5,2,4,8,6]=>1000000=>1
[2,5,7,4,3,8,1,6]=>0000000=>8
[2,5,3,7,4,8,1,6]=>0000000=>8
[3,2,6,7,8,1,5,4]=>0000000=>8
[3,5,2,7,8,4,1,6]=>0000000=>8
[1,5,7,4,8,3,2,6]=>1000000=>1
[3,5,2,6,8,4,7,1]=>0000000=>8
[2,5,7,4,3,8,6,1]=>0000000=>8
[1,5,7,2,4,8,6,3]=>1000000=>1
[4,6,3,7,2,8,5,1]=>0000000=>8
[1,4,7,3,8,6,2,5]=>1000000=>1
[5,1,6,8,2,4,3,7]=>0000000=>8
[5,3,7,8,2,4,1,6]=>0000000=>8
[8,5,3,7,2,4,1,6]=>0000000=>8
[8,2,4,7,3,1,5,6]=>0000000=>8
[2,4,7,8,3,1,5,6]=>0000000=>8
[6,3,1,5,8,2,4,7]=>0000000=>8
[6,5,3,4,2,8,1,7]=>0000000=>8
[5,2,4,3,8,1,6,7]=>0000000=>8
[3,2,4,8,1,5,6,7]=>0000000=>8
[3,2,4,6,8,1,5,7]=>0000000=>8
[8,1,5,7,3,2,4,6]=>0000000=>8
[8,4,6,7,2,3,1,5]=>0000000=>8
[4,6,7,8,2,3,1,5]=>0000000=>8
[7,4,6,8,2,3,1,5]=>0000000=>8
[7,2,4,8,3,1,5,6]=>0000000=>8
[5,3,8,7,2,4,1,6]=>0000000=>8
[2,4,8,7,3,1,5,6]=>0000000=>8
[4,6,8,7,2,3,1,5]=>0000000=>8
[8,7,4,6,2,3,1,5]=>0000000=>8
[5,6,8,7,2,3,1,4]=>0000000=>8
[6,4,8,7,2,3,1,5]=>0000000=>8
[3,1,7,4,2,8,6,5]=>0000000=>8
[3,2,8,4,1,7,6,5]=>0000000=>8
[7,6,4,8,2,3,1,5]=>0000000=>8
[5,7,6,8,2,3,1,4]=>0000000=>8
[4,7,6,8,2,3,1,5]=>0000000=>8
[8,6,4,7,2,3,1,5]=>0000000=>8
[8,2,3,7,4,1,6,5]=>0000000=>8
[2,3,7,8,4,1,6,5]=>0000000=>8
[3,7,4,8,2,5,1,6]=>0000000=>8
[2,3,7,4,1,6,8,5]=>0000000=>8
[8,1,6,4,2,3,7,5]=>0000000=>8
[4,7,8,6,2,3,1,5]=>0000000=>8
[2,4,7,3,1,5,8,6]=>0000000=>8
[6,3,1,7,4,2,8,5]=>0000000=>8
[8,5,7,6,2,3,1,4]=>0000000=>8
[7,5,8,6,2,3,1,4]=>0000000=>8
[7,1,6,4,2,3,8,5]=>0000000=>8
[3,1,7,6,4,2,8,5]=>0000000=>8
[4,8,7,6,2,3,1,5]=>0000000=>8
[6,8,7,5,2,3,1,4]=>0000000=>8
[4,3,6,1,5,8,7,2]=>0000000=>8
[4,3,6,5,1,8,7,2]=>0000000=>8
[4,6,3,5,1,8,7,2]=>0000000=>8
[4,6,3,1,5,8,7,2]=>0000000=>8
[4,1,6,5,3,8,7,2]=>0000000=>8
[4,6,1,5,3,8,7,2]=>0000000=>8
[2,6,5,3,1,8,7,4]=>0000000=>8
[2,6,5,1,8,7,3,4]=>0000000=>8
[2,6,5,8,1,7,3,4]=>0000000=>8
[2,6,5,8,1,3,7,4]=>0000000=>8
[2,6,5,8,3,1,7,4]=>0000000=>8
[2,6,5,3,8,1,7,4]=>0000000=>8
[4,6,1,5,8,3,7,2]=>0000000=>8
[4,1,6,5,8,3,7,2]=>0000000=>8
[1,4,6,5,8,3,7,2]=>1000000=>1
[4,1,6,5,8,7,3,2]=>0000000=>8
[2,6,5,3,8,7,1,4]=>0000000=>8
[6,4,3,8,7,1,5,2]=>0000000=>8
[6,4,8,3,7,1,5,2]=>0000000=>8
[2,6,8,5,3,7,1,4]=>0000000=>8
[4,6,8,1,5,7,3,2]=>0000000=>8
[4,6,1,8,5,7,3,2]=>0000000=>8
[4,1,6,8,5,7,3,2]=>0000000=>8
[1,4,6,8,5,7,3,2]=>1000000=>1
[1,4,6,8,5,3,7,2]=>1000000=>1
[4,6,1,8,5,3,7,2]=>0000000=>8
[2,6,8,5,3,1,7,4]=>0000000=>8
[2,6,8,5,1,7,3,4]=>0000000=>8
[4,6,8,3,5,1,7,2]=>0000000=>8
[4,6,8,3,1,5,7,2]=>0000000=>8
[4,6,3,1,8,5,7,2]=>0000000=>8
[4,6,3,8,1,5,7,2]=>0000000=>8
[4,6,3,8,5,7,1,2]=>0000000=>8
[4,3,6,8,1,5,7,2]=>0000000=>8
[4,3,6,1,8,5,7,2]=>0000000=>8
[4,3,1,6,8,5,7,2]=>0000000=>8
[4,1,3,6,8,7,5,2]=>0000000=>8
[4,3,6,1,8,7,5,2]=>0000000=>8
[4,3,6,8,1,7,5,2]=>0000000=>8
[6,5,2,8,7,3,1,4]=>0000000=>8
[6,5,2,8,7,1,3,4]=>0000000=>8
[6,2,5,8,7,1,3,4]=>0000000=>8
[6,2,5,8,7,3,1,4]=>0000000=>8
[4,6,3,8,1,7,5,2]=>0000000=>8
[4,6,3,1,8,7,5,2]=>0000000=>8
[4,1,6,3,8,7,5,2]=>0000000=>8
[1,4,6,3,8,7,5,2]=>1000000=>1
[4,1,6,8,3,7,5,2]=>0000000=>8
[4,6,1,8,3,7,5,2]=>0000000=>8
[4,6,8,1,3,7,5,2]=>0000000=>8
[6,2,8,5,7,3,1,4]=>0000000=>8
[6,2,8,5,7,1,3,4]=>0000000=>8
[2,4,8,7,1,5,3,6]=>0000000=>8
[4,2,8,7,5,3,1,6]=>0000000=>8
[6,4,1,8,7,5,3,2]=>0000000=>8
[6,1,4,8,7,5,3,2]=>0000000=>8
[1,6,4,8,7,3,5,2]=>1000000=>1
[6,4,1,8,7,3,5,2]=>0000000=>8
[4,2,8,7,5,1,3,6]=>0000000=>8
[2,4,8,7,3,5,1,6]=>0000000=>8
[2,3,4,5,6,8,9,7,1]=>00000000=>9
[2,3,4,7,8,5,6,1]=>0000000=>8
[2,3,7,1,4,8,6,5]=>0000000=>8
[3,4,5,6,7,8,9,10,11,2,1]=>0000000000=>11
[1,5,3,2,6,4,7,8]=>1000011=>1
[1,7,3,2,8,5,4,6]=>1000000=>1
[1,3,2,7,5,4,8,6]=>1010000=>1
[1,6,2,8,5,3,4,7]=>1000000=>1
[5,3,2,7,4,6,1,8]=>0000001=>7
[1,5,2,6,8,4,3,7]=>1000000=>1
[1,5,7,2,8,4,3,6]=>1000000=>1
[2,3,1,8,4,5,7,6]=>0010000=>3
[7,8,1,4,3,5,2,6]=>0000000=>8
[6,1,2,3,4,8,7,5]=>0000000=>8
[8,3,2,1,4,5,7,6]=>0000000=>8
[8,4,2,5,3,1,6,7]=>0000000=>8
[2,4,7,8,1,5,3,6]=>0000000=>8
[6,1,2,8,5,3,4,7]=>0000000=>8
[7,1,8,3,5,4,2,6]=>0000000=>8
[6,8,1,3,4,7,2,5]=>0000000=>8
[1,6,2,3,4,8,7,5]=>1000000=>1
[7,6,2,3,4,1,8,5]=>0000000=>8
[8,1,7,3,5,4,2,6]=>0000000=>8
[6,7,2,3,4,1,8,5]=>0000000=>8
[7,6,2,3,4,8,1,5]=>0000000=>8
[6,3,4,8,7,5,1,2]=>0000000=>8
[4,8,7,3,5,6,1,2]=>0000000=>8
[4,8,7,5,3,6,1,2]=>0000000=>8
[5,8,7,3,4,6,1,2]=>0000000=>8
[5,8,4,2,1,6,7,3]=>0000000=>8
[5,8,4,1,2,6,7,3]=>0000000=>8
[5,3,7,2,6,1,8,4]=>0000000=>8
[5,2,8,1,6,3,7,4]=>0000000=>8
[5,8,2,1,4,7,6,3]=>0000000=>8
[4,8,2,5,1,7,6,3]=>0000000=>8
[7,8,4,1,2,6,5,3]=>0000000=>8
[4,8,1,5,2,7,6,3]=>0000000=>8
[5,8,1,2,4,7,6,3]=>0000000=>8
[5,2,8,3,6,7,1,4]=>0000000=>8
[3,8,7,6,2,4,1,5]=>0000000=>8
[2,8,7,6,4,1,3,5]=>0000000=>8
[7,8,2,6,5,1,3,4]=>0000000=>8
[1,8,7,6,4,2,3,5]=>1000000=>1
[2,8,7,6,3,1,4,5]=>0000000=>8
[1,8,7,6,2,4,3,5]=>1000000=>1
[1,8,7,6,3,4,2,5]=>1000000=>1
[2,8,1,4,5,6,7,3]=>0000000=>8
[2,1,7,3,6,5,8,4]=>0100000=>2
[3,1,7,2,6,5,8,4]=>0000000=>8
[3,2,7,1,6,5,8,4]=>0000000=>8
[6,1,2,8,5,7,3,4]=>0000000=>8
[6,2,1,8,5,7,3,4]=>0000000=>8
[6,3,1,8,5,7,2,4]=>0000000=>8
[6,4,2,1,7,5,8,3]=>0000000=>8
[6,1,3,8,5,2,7,4]=>0000000=>8
[2,3,7,1,6,8,5,4]=>0000000=>8
[1,3,7,2,6,8,5,4]=>1000000=>1
[7,8,2,6,5,3,1,4]=>0000000=>8
[3,2,6,7,5,8,1,4]=>0000000=>8
[1,2,7,5,6,3,8,4]=>1100000=>1
[2,8,7,6,4,3,1,5]=>0000000=>8
[3,8,7,6,1,2,5,4]=>0000000=>8
[3,8,7,6,2,1,5,4]=>0000000=>8
[4,8,7,6,2,1,3,5]=>0000000=>8
[4,8,7,6,1,3,2,5]=>0000000=>8
[3,8,7,6,4,1,2,5]=>0000000=>8
[7,8,3,6,5,1,2,4]=>0000000=>8
[2,3,7,5,6,8,1,4]=>0000000=>8
[3,8,7,6,4,2,1,5]=>0000000=>8
[4,6,1,2,5,8,3,7]=>0000000=>8
[1,3,6,5,7,8,2,4]=>1000000=>1
[7,4,8,5,3,1,6,2]=>0000000=>8
[7,1,4,2,3,6,8,5]=>0000000=>8
[6,1,2,7,5,3,8,4]=>0000000=>8
[7,3,2,8,6,4,1,5]=>0000000=>8
[2,7,8,4,6,3,1,5]=>0000000=>8
[8,1,6,3,5,7,2,4]=>0000000=>8
[8,3,2,6,4,7,1,5]=>0000000=>8
[2,3,8,7,6,5,1,4]=>0000000=>8
[1,2,8,7,3,6,5,4]=>1100000=>1
[4,2,8,7,3,6,1,5]=>0000000=>8
[4,5,8,7,1,2,6,3]=>0000000=>8
[1,5,8,7,3,2,6,4]=>1000000=>1
[4,5,8,7,3,2,1,6]=>0000000=>8
[2,6,8,1,7,5,4,3]=>0000000=>8
[3,6,8,4,7,2,1,5]=>0000000=>8
[2,5,8,3,7,6,1,4]=>0000000=>8
[3,2,8,4,7,6,1,5]=>0000000=>8
[1,5,8,3,7,2,6,4]=>1000000=>1
[3,5,8,4,7,2,1,6]=>0000000=>8
[5,6,8,2,3,7,1,4]=>0000000=>8
[1,6,8,4,2,7,5,3]=>1000000=>1
[1,5,8,4,2,7,6,3]=>1000000=>1
[1,5,8,2,3,7,6,4]=>1000000=>1
[2,1,8,4,3,7,6,5]=>0100000=>2
[2,5,8,4,3,7,1,6]=>0000000=>8
[5,6,8,4,1,2,7,3]=>0000000=>8
[5,6,8,1,3,2,7,4]=>0000000=>8
[1,6,8,4,3,2,7,5]=>1000000=>1
[5,6,8,4,3,2,1,7]=>0000000=>8
[7,1,2,8,6,5,4,3]=>0000000=>8
[7,1,4,8,6,2,5,3]=>0000000=>8
[7,3,1,8,6,2,5,4]=>0000000=>8
[7,2,4,8,3,6,1,5]=>0000000=>8
[7,1,4,8,3,2,6,5]=>0000000=>8
[7,4,5,8,3,2,1,6]=>0000000=>8
[1,6,2,8,7,5,4,3]=>1000000=>1
[1,6,4,8,7,2,5,3]=>1000000=>1
[3,6,4,8,7,2,1,5]=>0000000=>8
[3,2,5,8,7,6,1,4]=>0000000=>8
[3,2,4,8,7,6,1,5]=>0000000=>8
[3,1,5,8,7,2,6,4]=>0000000=>8
[3,1,4,8,7,2,6,5]=>0000000=>8
[1,6,4,8,2,7,5,3]=>1000000=>1
[1,4,5,8,2,7,6,3]=>1000000=>1
[2,4,5,8,3,7,1,6]=>0000000=>8
[4,6,5,8,1,2,7,3]=>0000000=>8
[1,6,4,8,3,2,7,5]=>1000000=>1
[1,4,5,8,3,2,7,6]=>1000000=>1
[7,6,1,4,8,2,5,3]=>0000000=>8
[7,6,1,3,8,2,5,4]=>0000000=>8
[7,6,3,4,8,2,1,5]=>0000000=>8
[7,2,5,1,8,6,4,3]=>0000000=>8
[7,2,5,3,8,6,1,4]=>0000000=>8
[7,2,1,4,8,6,5,3]=>0000000=>8
[7,2,1,3,8,6,5,4]=>0000000=>8
[7,2,3,4,8,6,1,5]=>0000000=>8
[7,3,5,4,8,2,1,6]=>0000000=>8
[2,6,5,1,8,7,4,3]=>0000000=>8
[2,3,5,4,8,7,1,6]=>0000000=>8
[1,6,5,4,8,2,7,3]=>1000000=>1
[1,6,5,3,8,2,7,4]=>1000000=>1
[1,6,3,4,8,2,7,5]=>1000000=>1
[1,3,5,4,8,2,7,6]=>1000000=>1
[3,6,5,4,8,2,1,7]=>0000000=>8
[7,6,5,2,3,8,1,4]=>0000000=>8
[7,6,1,4,2,8,5,3]=>0000000=>8
[7,6,1,2,3,8,5,4]=>0000000=>8
[7,6,2,4,3,8,1,5]=>0000000=>8
[7,1,5,4,2,8,6,3]=>0000000=>8
[7,1,5,2,3,8,6,4]=>0000000=>8
[7,1,2,4,3,8,6,5]=>0000000=>8
[2,6,5,4,3,8,1,7]=>0000000=>8
[7,6,1,4,3,2,8,5]=>0000000=>8
[7,1,5,4,3,2,8,6]=>0000000=>8
[3,4,2,6,7,8,1,5]=>0000000=>8
[3,1,4,2,6,8,7,5]=>0001000=>4
[8,3,4,2,6,1,7,5]=>0000000=>8
[2,6,7,3,5,4,1,8]=>0000001=>7
[2,7,8,3,5,4,1,6]=>0000000=>8
[2,6,8,3,5,4,1,7]=>0000000=>8
[4,7,1,2,8,5,3,6]=>0000000=>8
[4,8,1,2,7,5,3,6]=>0000000=>8
[2,1,6,3,7,5,4,8]=>0100001=>2
[2,7,1,3,6,8,4,5]=>0000000=>8
[6,7,3,2,8,1,4,5]=>0000000=>8
[7,3,4,2,6,1,8,5]=>0000000=>8
[7,4,1,2,8,5,3,6]=>0000000=>8
[8,7,4,2,1,5,3,6]=>0000000=>8
[7,4,1,2,6,5,3,8]=>0000001=>7
[7,4,3,1,5,6,8,2]=>0000000=>8
[6,7,4,1,5,8,3,2]=>0000000=>8
[4,7,5,1,6,8,3,2]=>0000000=>8
[4,5,3,1,7,6,8,2]=>0000000=>8
[4,6,1,2,7,5,3,8]=>0000001=>7
[2,7,1,3,6,5,4,8]=>0000001=>7
[4,1,8,2,6,5,3,7]=>0000000=>8
[4,6,1,2,8,5,3,7]=>0000000=>8
[8,4,3,1,5,6,7,2]=>0000000=>8
[4,5,3,1,8,6,7,2]=>0000000=>8
[4,8,5,6,3,1,7,2]=>0000000=>8
[5,1,3,4,8,6,7,2]=>0000000=>8
[5,4,3,8,1,6,7,2]=>0000000=>8
[8,5,3,4,1,6,7,2]=>0000000=>8
[6,4,8,2,1,5,3,7]=>0000000=>8
[6,7,3,2,5,1,4,8]=>0000001=>7
[6,8,3,2,5,1,4,7]=>0000000=>8
[5,7,1,4,6,8,3,2]=>0000000=>8
[5,1,3,4,7,6,8,2]=>0000000=>8
[6,1,4,2,7,5,3,8]=>0000001=>7
[5,4,3,7,1,6,8,2]=>0000000=>8
[6,7,5,4,1,8,3,2]=>0000000=>8
[7,6,4,2,1,5,3,8]=>0000001=>7
[8,2,7,6,5,4,1,3]=>0000000=>8
[7,2,8,6,5,4,3,1]=>0000000=>8
[8,1,9,7,6,5,4,3,2]=>00000000=>9
[2,10,9,8,7,6,5,4,1,3]=>000000000=>10
[9,2,8,7,6,5,4,1,3]=>00000000=>9
[3,9,8,7,6,5,4,1,2]=>00000000=>9
[8,7,2,6,5,4,1,3]=>0000000=>8
[3,2,8,7,6,5,1,4]=>0000000=>8
[4,8,7,6,5,3,1,2]=>0000000=>8
[7,8,6,1,5,4,3,2]=>0000000=>8
[8,9,1,7,6,5,4,3,2]=>00000000=>9
[7,3,8,6,5,4,2,1]=>0000000=>8
[8,2,9,7,6,5,4,3,1]=>00000000=>9
[9,1,10,8,7,6,5,4,3,2]=>000000000=>10
[4,8,5,7,6,3,2,1]=>0000000=>8
[8,5,6,1,3,2,4,7]=>0000000=>8
[8,6,1,5,3,2,4,7]=>0000000=>8
[7,8,1,5,3,2,4,6]=>0000000=>8
[8,1,7,5,3,2,4,6]=>0000000=>8
[8,6,1,4,5,2,3,7]=>0000000=>8
[8,6,3,1,5,2,4,7]=>0000000=>8
[8,4,6,1,5,2,3,7]=>0000000=>8
[8,6,2,1,5,4,3,7]=>0000000=>8
[8,5,2,6,1,4,3,7]=>0000000=>8
[8,5,2,1,7,4,3,6]=>0000000=>8
[7,8,2,1,5,4,3,6]=>0000000=>8
[7,8,3,1,5,2,4,6]=>0000000=>8
[8,2,7,5,1,3,4,6]=>0000000=>8
[8,4,1,7,5,2,3,6]=>0000000=>8
[8,2,7,1,5,4,3,6]=>0000000=>8
[8,2,6,1,7,4,3,5]=>0000000=>8
[8,1,7,4,3,2,6,5]=>0000000=>8
[8,1,5,7,3,2,6,4]=>0000000=>8
[5,7,8,1,3,2,6,4]=>0000000=>8
[8,2,6,1,5,7,3,4]=>0000000=>8
[5,8,1,6,7,2,3,4]=>0000000=>8
[5,7,6,1,8,2,3,4]=>0000000=>8
[6,7,2,5,1,8,3,4]=>0000000=>8
[7,5,1,6,8,2,3,4]=>0000000=>8
[6,5,7,1,8,2,3,4]=>0000000=>8
[6,7,3,8,1,2,4,5]=>0000000=>8
[7,5,4,1,8,2,3,6]=>0000000=>8
[7,6,1,4,8,2,3,5]=>0000000=>8
[8,1,6,4,7,2,3,5]=>0000000=>8
[7,5,8,1,3,2,4,6]=>0000000=>8
[7,8,4,1,3,2,5,6]=>0000000=>8
[8,3,7,4,1,2,5,6]=>0000000=>8
[8,5,1,7,3,2,4,6]=>0000000=>8
[6,8,1,7,3,2,4,5]=>0000000=>8
[7,1,8,4,3,6,2,5]=>0000000=>8
[7,3,1,8,6,4,2,5]=>0000000=>8
[8,3,1,7,4,6,2,5]=>0000000=>8
[8,4,5,1,7,2,3,6]=>0000000=>8
[5,6,8,1,7,2,3,4]=>0000000=>8
[6,5,8,1,2,7,3,4]=>0000000=>8
[7,3,1,8,5,6,2,4]=>0000000=>8
[6,2,7,8,3,1,5,4]=>0000000=>8
[5,8,1,7,3,2,6,4]=>0000000=>8
[8,4,1,7,3,2,6,5]=>0000000=>8
[8,3,4,7,1,2,6,5]=>0000000=>8
[8,2,7,4,1,3,6,5]=>0000000=>8
[7,4,8,2,1,3,6,5]=>0000000=>8
[7,4,3,8,1,2,6,5]=>0000000=>8
[8,2,3,6,7,1,5,4]=>0000000=>8
[6,8,5,2,3,4,7,1]=>0000000=>8
[3,5,2,6,8,1,4,7]=>0000000=>8
[3,5,2,4,6,8,1,7]=>0000000=>8
[2,4,5,7,3,6,8,1]=>0000000=>8
[2,4,5,3,6,8,1,7]=>0000000=>8
[5,2,4,6,8,1,3,7]=>0000000=>8
[5,1,3,4,6,8,2,7]=>0000000=>8
[4,3,5,2,6,8,1,7]=>0000000=>8
[4,3,5,7,2,8,1,6]=>0000000=>8
[4,3,5,7,2,6,8,1]=>0000000=>8
[4,6,3,7,2,5,8,1]=>0000000=>8
[4,6,3,1,7,8,2,5]=>0000000=>8
[4,3,5,1,7,8,2,6]=>0000000=>8
[5,7,1,3,4,8,2,6]=>0000000=>8
[5,7,1,3,4,6,8,2]=>0000000=>8
[4,5,7,1,3,6,8,2]=>0000000=>8
[4,3,6,7,1,5,8,2]=>0000000=>8
[4,6,3,5,1,7,8,2]=>0000000=>8
[4,6,3,5,7,2,8,1]=>0000000=>8
[3,5,6,4,1,7,8,2]=>0000000=>8
[3,1,5,6,7,4,8,2]=>0000000=>8
[5,1,6,7,3,4,8,2]=>0000000=>8
[6,4,7,1,3,5,8,2]=>0000000=>8
[1,6,7,3,4,5,8,2]=>1000000=>1
[2,6,7,4,5,8,1,3]=>0000000=>8
[2,6,7,4,8,1,3,5]=>0000000=>8
[5,3,6,1,2,7,8,4]=>0000000=>8
[3,5,2,6,1,7,8,4]=>0000000=>8
[3,5,2,6,7,4,8,1]=>0000000=>8
[5,2,3,6,7,4,8,1]=>0000000=>8
[5,2,3,6,1,7,8,4]=>0000000=>8
[5,2,6,1,3,7,8,4]=>0000000=>8
[4,2,6,7,3,5,8,1]=>0000000=>8
[6,3,7,2,4,5,8,1]=>0000000=>8
[3,5,7,2,8,1,4,6]=>0000000=>8
[3,7,2,4,8,1,5,6]=>0000000=>8
[7,2,4,6,8,1,3,5]=>0000000=>8
[7,1,3,4,6,8,2,5]=>0000000=>8
[3,7,2,4,6,8,1,5]=>0000000=>8
[3,5,7,2,6,8,1,4]=>0000000=>8
[6,3,7,2,5,8,1,4]=>0000000=>8
[6,3,5,7,2,8,1,4]=>0000000=>8
[6,3,5,7,2,4,8,1]=>0000000=>8
[6,2,4,5,7,3,8,1]=>0000000=>8
[6,2,4,5,1,7,8,3]=>0000000=>8
[4,7,1,2,5,6,8,3]=>0000000=>8
[2,6,7,5,8,1,3,4]=>0000000=>8
[4,6,7,1,2,5,8,3]=>0000000=>8
[5,6,2,4,7,3,8,1]=>0000000=>8
[5,4,2,6,7,3,8,1]=>0000000=>8
[5,4,2,6,1,7,8,3]=>0000000=>8
[1,5,4,6,2,7,8,3]=>1000000=>1
[5,6,4,1,2,7,8,3]=>0000000=>8
[6,4,5,1,2,7,8,3]=>0000000=>8
[6,3,5,1,7,8,2,4]=>0000000=>8
[6,5,7,2,8,1,3,4]=>0000000=>8
[6,5,7,1,3,4,8,2]=>0000000=>8
[5,6,4,7,1,3,8,2]=>0000000=>8
[5,4,6,3,1,7,8,2]=>0000000=>8
[7,5,3,2,4,8,1,6]=>0000000=>8
[8,4,5,2,6,1,3,7]=>0000000=>8
[8,5,4,2,1,6,3,7]=>0000000=>8
[8,5,3,4,1,6,2,7]=>0000000=>8
[8,4,5,3,1,6,2,7]=>0000000=>8
[7,5,4,2,1,8,3,6]=>0000000=>8
[7,5,4,2,1,6,8,3]=>0000000=>8
[7,4,5,3,1,6,8,2]=>0000000=>8
[7,4,3,5,6,1,8,2]=>0000000=>8
[5,6,3,7,4,1,8,2]=>0000000=>8
[5,6,7,3,1,4,8,2]=>0000000=>8
[6,7,3,4,1,5,8,2]=>0000000=>8
[6,7,4,2,1,5,8,3]=>0000000=>8
[5,6,7,3,1,8,2,4]=>0000000=>8
[5,6,3,7,8,1,2,4]=>0000000=>8
[5,6,3,7,2,4,8,1]=>0000000=>8
[5,6,7,2,3,8,1,4]=>0000000=>8
[7,4,5,2,8,1,3,6]=>0000000=>8
[6,7,3,2,4,8,1,5]=>0000000=>8
[7,6,4,2,1,3,8,5]=>0000000=>8
[7,6,3,4,1,2,8,5]=>0000000=>8
[7,6,3,2,4,1,8,5]=>0000000=>8
[6,7,3,2,5,1,8,4]=>0000000=>8
[6,5,3,2,7,8,1,4]=>0000000=>8
[6,5,3,2,7,4,8,1]=>0000000=>8
[6,4,5,2,7,3,8,1]=>0000000=>8
[6,4,5,2,7,8,1,3]=>0000000=>8
[7,4,5,2,6,1,8,3]=>0000000=>8
[7,4,5,6,1,2,8,3]=>0000000=>8
[7,5,6,2,1,3,8,4]=>0000000=>8
[6,7,3,5,1,2,8,4]=>0000000=>8
[5,6,7,4,1,2,8,3]=>0000000=>8
[5,6,7,2,4,1,8,3]=>0000000=>8
[5,6,4,2,7,8,1,3]=>0000000=>8
[6,5,7,2,1,8,3,4]=>0000000=>8
[6,5,7,2,1,4,8,3]=>0000000=>8
[5,4,6,7,3,1,8,2]=>0000000=>8
[3,7,8,5,6,1,4,2]=>0000000=>8
[1,7,8,5,6,3,4,2]=>1000000=>1
[1,7,5,8,6,3,4,2]=>1000000=>1
[3,7,5,8,6,1,4,2]=>0000000=>8
[5,7,3,8,6,4,1,2]=>0000000=>8
[1,5,7,8,6,3,4,2]=>1000000=>1
[1,5,7,8,3,6,4,2]=>1000000=>1
[5,3,7,8,1,6,4,2]=>0000000=>8
[7,8,1,5,6,3,4,2]=>0000000=>8
[7,1,8,5,6,3,4,2]=>0000000=>8
[7,1,5,8,6,3,4,2]=>0000000=>8
[5,1,7,8,3,6,4,2]=>0000000=>8
[3,1,7,8,5,6,4,2]=>0000000=>8
[1,3,7,8,5,6,4,2]=>1000000=>1
[3,1,7,5,8,6,4,2]=>0000000=>8
[5,1,7,3,8,6,4,2]=>0000000=>8
[7,1,5,3,8,6,4,2]=>0000000=>8
[7,1,5,8,3,6,4,2]=>0000000=>8
[7,3,5,8,1,6,4,2]=>0000000=>8
[5,3,7,1,8,6,4,2]=>0000000=>8
[3,5,7,1,8,6,4,2]=>0000000=>8
[1,7,5,3,8,6,4,2]=>1000000=>1
[5,7,3,1,8,6,4,2]=>0000000=>8
[5,7,3,8,6,1,4,2]=>0000000=>8
[3,7,5,8,1,6,4,2]=>0000000=>8
[1,7,5,8,3,6,4,2]=>1000000=>1
[1,7,8,5,3,6,4,2]=>1000000=>1
[5,7,8,6,3,1,4,2]=>0000000=>8
[7,5,8,6,1,3,4,2]=>0000000=>8
[5,7,8,1,6,3,4,2]=>0000000=>8
[3,7,8,1,5,6,4,2]=>0000000=>8
[1,7,8,3,5,6,4,2]=>1000000=>1
[1,7,3,8,5,6,4,2]=>1000000=>1
[3,7,1,8,5,6,4,2]=>0000000=>8
[5,7,1,8,3,6,4,2]=>0000000=>8
[5,7,1,8,6,3,4,2]=>0000000=>8
[7,5,1,8,6,3,4,2]=>0000000=>8
[7,5,8,1,6,3,4,2]=>0000000=>8
[7,8,5,1,6,3,4,2]=>0000000=>8
[7,5,8,1,3,6,4,2]=>0000000=>8
[7,5,1,8,3,6,4,2]=>0000000=>8
[7,5,1,3,8,6,4,2]=>0000000=>8
[5,7,1,3,8,6,4,2]=>0000000=>8
[3,7,1,5,8,6,4,2]=>0000000=>8
[1,7,3,5,8,6,4,2]=>1000000=>1
[1,5,3,7,8,6,4,2]=>1000000=>1
[3,5,1,7,8,6,4,2]=>0000000=>8
[5,3,1,7,8,6,4,2]=>0000000=>8
[7,3,1,5,8,6,4,2]=>0000000=>8
[7,3,1,8,5,6,4,2]=>0000000=>8
[7,8,3,1,5,6,4,2]=>0000000=>8
[7,1,8,3,5,6,4,2]=>0000000=>8
[7,1,3,8,5,6,4,2]=>0000000=>8
[7,1,3,5,8,6,4,2]=>0000000=>8
[3,1,5,7,8,6,4,2]=>0000000=>8
[5,7,3,4,8,6,1,2]=>0000000=>8
[5,7,3,4,8,1,6,2]=>0000000=>8
[5,7,3,1,4,6,2,8]=>0000001=>7
[5,7,3,1,4,8,6,2]=>0000000=>8
[5,3,7,1,4,2,6,8]=>0000001=>7
[5,3,7,1,4,2,8,6]=>0000000=>8
[3,7,5,1,2,8,6,4]=>0000000=>8
[7,3,5,8,1,2,6,4]=>0000000=>8
[3,7,5,1,2,6,8,4]=>0000000=>8
[3,5,6,2,4,1,8,7]=>0000010=>6
[6,2,7,8,3,4,1,5]=>0000000=>8
[2,5,3,4,8,1,7,6]=>0000000=>8
[5,1,8,2,3,4,7,6]=>0000000=>8
[5,4,7,6,2,8,1,3]=>0000000=>8
[3,8,1,5,6,7,2,4]=>0000000=>8
[2,8,3,6,7,5,1,4]=>0000000=>8
[8,2,1,7,6,3,5,4]=>0000000=>8
[6,4,7,5,2,3,8,1]=>0000000=>8
[4,8,7,2,3,1,5,6]=>0000000=>8
[4,2,3,1,8,7,5,6]=>0001000=>4
[7,6,8,1,3,5,2,4]=>0000000=>8
[8,7,2,6,4,1,5,3]=>0000000=>8
[7,4,8,1,2,5,6,3]=>0000000=>8
[6,1,7,4,3,2,8,5]=>0000000=>8
[6,8,3,4,2,1,7,5]=>0000000=>8
[4,2,6,1,5,7,8,3]=>0000000=>8
[2,4,6,7,3,5,8,1]=>0000000=>8
[7,1,4,8,3,5,6,2]=>0000000=>8
[3,4,8,2,5,7,6,1]=>0000000=>8
[2,5,7,4,8,6,1,3]=>0000000=>8
[2,6,3,7,5,1,8,4]=>0000000=>8
[6,3,7,2,8,5,1,4]=>0000000=>8
[3,6,2,5,8,7,1,4]=>0000000=>8
[5,2,8,4,7,6,1,3]=>0000000=>8
[7,2,4,8,6,5,1,3]=>0000000=>8
[2,5,1,4,7,3,8,6]=>0000000=>8
[3,1,5,6,2,8,7,4]=>0000000=>8
[1,2,4,6,3,8,7,5]=>1100000=>1
[4,1,5,2,8,7,6,3]=>0000000=>8
[7,2,3,5,1,8,6,4]=>0000000=>8
[1,4,5,2,8,7,6,3]=>1000000=>1
[1,6,4,2,8,7,5,3]=>1000000=>1
[7,4,2,5,1,8,6,3]=>0000000=>8
[4,6,2,7,5,1,8,3]=>0000000=>8
[1,5,3,6,2,8,7,4]=>1000000=>1
[4,5,8,2,1,7,6,3]=>0000000=>8
[3,5,2,1,7,4,8,6]=>0000000=>8
[6,3,1,7,2,8,5,4]=>0000000=>8
[7,5,1,2,8,6,4,3]=>0000000=>8
[4,5,1,2,8,7,6,3]=>0000000=>8
[6,4,1,2,8,7,5,3]=>0000000=>8
[5,2,8,1,3,7,6,4]=>0000000=>8
[4,7,5,6,8,3,1,2]=>0000000=>8
[8,6,4,7,5,3,1,2]=>0000000=>8
[7,5,2,6,4,1,3,8]=>0000001=>7
[1,6,3,7,5,8,4,2]=>1000000=>1
[1,3,7,4,5,8,6,2]=>1000000=>1
[7,2,6,3,4,1,5,8]=>0000001=>7
[8,3,7,4,6,5,1,2]=>0000000=>8
[6,8,4,7,5,3,1,2]=>0000000=>8
[4,8,7,5,6,3,1,2]=>0000000=>8
[3,8,7,6,4,5,1,2]=>0000000=>8
[1,6,5,2,8,3,7,4]=>1000000=>1
[8,6,5,2,1,4,3,7]=>0000000=>8
[2,7,6,3,1,4,5,8]=>0000001=>7
[6,8,5,3,2,1,4,7]=>0000000=>8
[2,7,6,4,5,1,3,8]=>0000001=>7
[5,7,2,6,4,1,3,8]=>0000001=>7
[6,1,3,7,5,8,4,2]=>0000000=>8
[4,1,7,3,6,8,5,2]=>0000000=>8
[8,1,6,4,3,7,5,2]=>0000000=>8
[2,1,7,4,8,6,3,5]=>0100000=>2
[1,8,6,3,7,5,4,2]=>1000000=>1
[1,8,2,7,3,6,5,4]=>1000000=>1
[2,1,3,8,4,7,5,6]=>0110000=>2
[8,1,2,7,4,3,6,5]=>0000000=>8
[5,3,1,6,8,4,7,2]=>0000000=>8
[6,2,8,7,1,4,3,5]=>0000000=>8
[8,7,2,1,5,4,3,6]=>0000000=>8
[8,2,3,1,4,6,5,7]=>0000000=>8
[2,4,8,3,1,5,6,7]=>0000000=>8
[3,4,2,7,1,5,6,8]=>0000001=>7
[4,7,3,8,2,1,5,6]=>0000000=>8
[5,2,7,3,1,4,6,8]=>0000001=>7
[8,3,7,2,1,5,4,6]=>0000000=>8
[1,3,7,2,8,4,6,5]=>1000000=>1
[1,4,2,5,8,6,7,3]=>1000000=>1
[6,5,3,8,2,1,4,7]=>0000000=>8
[2,6,4,5,7,1,3,8]=>0000001=>7
[5,4,6,2,7,1,3,8]=>0000001=>7
[7,6,3,1,8,4,5,2]=>0000000=>8
[7,6,2,1,8,5,3,4]=>0000000=>8
[1,7,5,8,6,4,3,2]=>1000000=>1
[6,5,1,2,8,3,7,4]=>0000000=>8
[8,6,1,4,3,7,5,2]=>0000000=>8
[6,8,4,1,3,7,5,2]=>0000000=>8
[6,5,7,1,3,8,4,2]=>0000000=>8
[5,8,3,1,7,4,6,2]=>0000000=>8
[8,3,1,7,5,4,6,2]=>0000000=>8
[1,3,8,7,4,6,5,2]=>1000000=>1
[1,2,8,7,6,3,5,4]=>1100000=>1
[8,2,1,7,6,4,3,5]=>0000000=>8
[2,3,1,8,7,4,5,6]=>0010000=>3
[2,4,1,8,5,7,3,6]=>0000000=>8
[5,8,2,1,7,6,3,4]=>0000000=>8
[6,2,7,1,8,5,3,4]=>0000000=>8
[8,7,1,6,5,4,3,2]=>0000000=>8
[7,1,8,3,6,5,4,2]=>0000000=>8
[4,1,8,7,5,6,3,2]=>0000000=>8
[8,1,2,3,4,5,9,6,7]=>00000000=>9
[8,1,2,3,4,9,5,6,7]=>00000000=>9
[8,1,2,9,3,4,5,6,7]=>00000000=>9
[8,1,9,2,3,4,5,6,7]=>00000000=>9
[9,1,2,3,4,5,6,10,7,8]=>000000000=>10
[2,1,8,9,3,4,5,6,7]=>01000000=>2
[3,5,8,7,2,6,4,1]=>0000000=>8
[5,8,2,7,1,6,4,3]=>0000000=>8
[2,1,6,4,5,8,3,7]=>0100000=>2
[8,6,3,7,5,2,1,4]=>0000000=>8
[4,6,3,8,5,2,1,7]=>0000000=>8
[4,6,3,7,5,2,8,1]=>0000000=>8
[3,5,7,8,2,6,1,4]=>0000000=>8
[8,2,3,4,6,1,5,7]=>0000000=>8
[4,8,3,7,5,1,6,2]=>0000000=>8
[5,2,3,4,8,7,1,6]=>0000000=>8
[4,2,8,5,7,6,1,3]=>0000000=>8
[4,8,3,7,5,2,1,6]=>0000000=>8
[4,2,7,5,8,6,3,1]=>0000000=>8
[5,2,7,8,4,6,3,1]=>0000000=>8
[5,2,8,3,7,6,1,4]=>0000000=>8
[8,2,7,3,1,6,4,5]=>0000000=>8
[6,2,3,4,8,5,1,7]=>0000000=>8
[7,2,3,4,1,8,6,5]=>0000000=>8
[1,2,3,4,8,7,5,6]=>1111000=>1
[1,2,8,5,3,4,6,7]=>1100000=>1
[1,8,4,2,3,5,6,7]=>1000000=>1
[8,6,7,4,1,5,3,2]=>0000000=>8
[4,8,6,7,5,1,3,2]=>0000000=>8
[7,1,8,4,6,5,2,3]=>0000000=>8
[8,7,1,5,4,6,2,3]=>0000000=>8
[8,5,7,1,4,6,3,2]=>0000000=>8
[6,4,8,5,1,7,3,2]=>0000000=>8
[4,8,5,7,1,6,3,2]=>0000000=>8
[8,4,7,1,5,6,3,2]=>0000000=>8
[8,7,1,4,5,6,3,2]=>0000000=>8
[8,7,4,5,6,1,3,2]=>0000000=>8
[8,7,5,1,4,6,2,3]=>0000000=>8
[8,7,2,5,1,4,6,3]=>0000000=>8
[4,8,7,2,5,1,6,3]=>0000000=>8
[1,6,4,8,5,2,7,3]=>1000000=>1
[8,7,1,4,2,5,6,3]=>0000000=>8
[8,7,5,1,2,4,6,3]=>0000000=>8
[7,1,8,5,6,2,3,4]=>0000000=>8
[3,8,7,1,2,5,6,4]=>0000000=>8
[3,5,8,7,1,2,6,4]=>0000000=>8
[2,3,8,5,7,1,6,4]=>0000000=>8
[3,8,7,1,5,6,2,4]=>0000000=>8
[3,5,8,7,1,6,2,4]=>0000000=>8
[2,3,8,6,7,5,1,4]=>0000000=>8
[3,2,8,6,7,5,1,4]=>0000000=>8
[4,1,8,6,2,7,5,3]=>0000000=>8
[8,7,4,1,2,6,5,3]=>0000000=>8
[1,3,8,6,7,5,2,4]=>1000000=>1
[5,7,1,8,2,6,3,4]=>0000000=>8
[2,8,7,1,5,6,3,4]=>0000000=>8
[8,7,1,5,2,4,6,3]=>0000000=>8
[7,1,8,2,4,6,5,3]=>0000000=>8
[1,6,2,8,4,7,5,3]=>1000000=>1
[1,3,8,5,7,2,6,4]=>1000000=>1
[1,8,3,7,2,5,6,4]=>1000000=>1
[2,8,7,1,3,5,6,4]=>0000000=>8
[5,7,1,8,2,3,6,4]=>0000000=>8
[7,1,8,2,3,5,6,4]=>0000000=>8
[8,6,3,7,4,1,5,2]=>0000000=>8
[4,2,8,6,7,5,1,3]=>0000000=>8
[8,4,2,7,5,6,1,3]=>0000000=>8
[4,8,3,6,1,7,5,2]=>0000000=>8
[8,3,4,7,5,1,6,2]=>0000000=>8
[8,3,7,4,5,1,6,2]=>0000000=>8
[8,7,4,2,5,6,1,3]=>0000000=>8
[8,7,5,1,6,2,3,4]=>0000000=>8
[8,7,2,4,1,5,6,3]=>0000000=>8
[4,8,6,1,7,2,5,3]=>0000000=>8
[4,7,1,8,2,6,5,3]=>0000000=>8
[4,2,8,6,7,1,5,3]=>0000000=>8
[8,7,4,1,2,5,6,3]=>0000000=>8
[8,2,7,1,6,3,4,5]=>0000000=>8
[8,2,7,1,3,6,4,5]=>0000000=>8
[2,8,3,6,7,1,5,4]=>0000000=>8
[8,7,2,1,3,5,6,4]=>0000000=>8
[1,8,7,2,3,6,4,5]=>1000000=>1
[1,8,7,2,6,3,4,5]=>1000000=>1
[8,2,7,3,6,1,4,5]=>0000000=>8
[1,8,7,3,6,2,4,5]=>1000000=>1
[1,8,2,7,6,3,4,5]=>1000000=>1
[8,2,7,4,1,5,6,3]=>0000000=>8
[8,2,1,7,5,6,3,4]=>0000000=>8
[8,7,3,1,5,6,2,4]=>0000000=>8
[2,8,7,3,5,6,1,4]=>0000000=>8
[8,3,1,6,7,5,2,4]=>0000000=>8
[8,5,2,1,6,7,4,3]=>0000000=>8
[1,5,2,8,6,7,4,3]=>1000000=>1
[1,2,8,6,7,5,3,4]=>1100000=>1
[1,8,3,6,7,5,2,4]=>1000000=>1
[8,2,3,6,7,5,1,4]=>0000000=>8
[8,3,7,2,5,6,1,4]=>0000000=>8
[8,1,3,7,5,6,2,4]=>0000000=>8
[8,4,1,2,7,5,6,3]=>0000000=>8
[8,1,4,2,6,7,5,3]=>0000000=>8
[1,2,8,6,7,3,5,4]=>1100000=>1
[8,1,2,7,3,6,4,5]=>0000000=>8
[8,1,7,3,6,2,4,5]=>0000000=>8
[8,1,7,2,6,3,4,5]=>0000000=>8
[8,1,7,2,3,6,4,5]=>0000000=>8
[8,1,3,7,2,5,6,4]=>0000000=>8
[1,8,3,6,7,2,5,4]=>1000000=>1
[1,7,8,2,3,6,5,4]=>1000000=>1
[8,3,7,1,2,5,6,4]=>0000000=>8
[8,7,1,2,3,6,4,5]=>0000000=>8
[2,8,5,7,4,6,3,1]=>0000000=>8
[3,1,8,5,7,4,2,6]=>0000000=>8
[8,3,5,7,4,2,6,1]=>0000000=>8
[8,3,6,2,4,5,7,1]=>0000000=>8
[2,8,6,4,3,5,7,1]=>0000000=>8
[2,6,8,3,5,4,7,1]=>0000000=>8
[2,7,5,8,4,6,3,1]=>0000000=>8
[8,4,2,7,6,1,3,5]=>0000000=>8
[4,8,1,7,6,3,2,5]=>0000000=>8
[4,1,7,6,2,3,5,8]=>0000001=>7
[3,7,1,8,6,2,5,4]=>0000000=>8
[3,1,7,6,4,5,2,8]=>0000001=>7
[3,1,7,5,8,4,2,6]=>0000000=>8
[3,1,6,8,7,5,2,4]=>0000000=>8
[6,3,8,7,5,2,4,1]=>0000000=>8
[7,3,5,8,4,2,6,1]=>0000000=>8
[7,3,6,4,2,8,5,1]=>0000000=>8
[7,8,3,6,2,5,4,1]=>0000000=>8
[7,4,8,2,1,6,3,5]=>0000000=>8
[8,7,4,6,3,2,5,1]=>0000000=>8
[7,8,5,2,1,4,3,6]=>0000000=>8
[7,5,2,3,1,4,8,6]=>0000000=>8
[7,4,6,2,3,8,1,5]=>0000000=>8
[6,4,2,5,8,3,7,1]=>0000000=>8
[4,6,5,8,1,3,2,7]=>0000000=>8
[4,7,1,5,3,8,2,6]=>0000000=>8
[4,7,8,1,3,6,2,5]=>0000000=>8
[5,7,1,3,4,6,2,8]=>0000001=>7
[5,7,1,4,2,3,6,8]=>0000001=>7
[5,8,1,3,2,4,6,7]=>0000000=>8
[4,8,6,1,3,2,7,5]=>0000000=>8
[8,4,6,2,1,3,7,5]=>0000000=>8
[5,4,8,7,2,3,6,1]=>0000000=>8
[5,4,8,7,3,1,2,6]=>0000000=>8
[6,8,3,7,2,5,4,1]=>0000000=>8
[5,4,6,8,2,3,7,1]=>0000000=>8
[5,7,4,2,8,3,6,1]=>0000000=>8
[6,4,7,2,1,8,3,5]=>0000000=>8
[6,5,3,4,1,2,8,7]=>0000010=>6
[6,8,5,4,1,3,2,7]=>0000000=>8
[6,4,3,7,1,5,2,8]=>0000001=>7
[9,8,7,6,5,2,3,1,4]=>00000000=>9
[9,8,7,6,3,4,2,1,5]=>00000000=>9
[9,8,7,4,5,3,2,1,6]=>00000000=>9
[9,8,5,6,4,3,2,1,7]=>00000000=>9
[9,6,7,5,4,3,2,1,8]=>00000000=>9
[7,4,2,6,1,5,3,8]=>0000001=>7
[7,4,2,5,6,1,3,8]=>0000001=>7
[6,4,2,8,1,5,7,3]=>0000000=>8
[6,3,7,8,2,5,1,4]=>0000000=>8
[7,3,5,6,4,2,1,8]=>0000001=>7
[7,4,3,1,5,6,2,8]=>0000001=>7
[7,4,5,2,6,1,3,8]=>0000001=>7
[5,3,7,2,8,6,4,1]=>0000000=>8
[5,3,8,2,6,7,4,1]=>0000000=>8
[6,3,8,2,5,4,7,1]=>0000000=>8
[6,4,8,2,1,5,7,3]=>0000000=>8
[6,4,3,1,8,2,7,5]=>0000000=>8
[5,3,7,8,2,6,4,1]=>0000000=>8
[4,7,8,5,6,3,2,1]=>0000000=>8
[5,3,7,6,8,2,4,1]=>0000000=>8
[5,7,8,4,6,2,1,3]=>0000000=>8
[5,8,4,3,6,7,1,2]=>0000000=>8
[5,8,6,4,7,2,1,3]=>0000000=>8
[5,3,8,6,2,7,4,1]=>0000000=>8
[4,7,5,8,6,3,2,1]=>0000000=>8
[4,8,6,7,5,3,2,1]=>0000000=>8
[6,3,8,7,2,4,1,5]=>0000000=>8
[5,3,8,7,2,6,4,1]=>0000000=>8
[5,3,8,6,7,2,4,1]=>0000000=>8
[5,3,7,8,6,2,4,1]=>0000000=>8
[5,7,6,4,8,2,1,3]=>0000000=>8
[5,8,4,6,7,2,1,3]=>0000000=>8
[6,4,2,8,1,7,3,5]=>0000000=>8
[6,5,2,4,3,7,8,1]=>0000000=>8
[5,4,6,2,8,7,1,3]=>0000000=>8
[5,6,3,8,7,2,4,1]=>0000000=>8
[6,7,4,3,1,8,2,5]=>0000000=>8
[5,7,4,3,6,8,1,2]=>0000000=>8
[5,7,3,8,6,2,4,1]=>0000000=>8
[4,5,8,6,7,3,2,1]=>0000000=>8
[4,6,8,5,7,3,2,1]=>0000000=>8
[5,6,8,3,7,2,4,1]=>0000000=>8
[5,4,6,8,2,7,1,3]=>0000000=>8
[5,7,8,2,6,4,1,3]=>0000000=>8
[3,6,8,5,7,1,4,2]=>0000000=>8
[1,7,4,8,6,2,3,5]=>1000000=>1
[4,2,5,6,7,1,8,3]=>0000000=>8
[8,1,3,6,7,2,4,5]=>0000000=>8
[6,1,3,8,2,7,4,5]=>0000000=>8
[1,7,5,2,8,6,3,4]=>1000000=>1
[1,5,8,4,2,6,3,7]=>1000000=>1
[3,5,7,4,1,6,8,2]=>0000000=>8
[3,5,7,1,2,6,4,8]=>0000001=>7
[4,5,1,8,2,3,7,6]=>0000000=>8
[4,7,1,8,2,6,3,5]=>0000000=>8
[5,2,6,1,3,4,8,7]=>0000010=>6
[7,8,4,5,1,3,2,6]=>0000000=>8
[6,7,1,3,2,5,4,8]=>0000001=>7
[6,7,1,4,3,5,2,8]=>0000001=>7
[7,8,2,3,1,5,4,6]=>0000000=>8
[7,8,2,4,3,5,1,6]=>0000000=>8
[7,8,2,4,1,5,3,6]=>0000000=>8
[1,4,2,6,5,7,3,8]=>1000001=>1
[5,6,1,4,2,7,3,8]=>0000001=>7
[6,7,2,4,1,5,3,8]=>0000001=>7
[6,7,2,4,3,5,1,8]=>0000001=>7
[6,7,2,3,1,5,4,8]=>0000001=>7
[6,7,3,5,4,8,1,2]=>0000000=>8
[2,4,1,6,5,7,3,8]=>0000001=>7
[1,5,2,6,4,7,3,8]=>1000001=>1
[2,5,1,6,4,7,3,8]=>0000001=>7
[3,6,5,7,4,8,1,2]=>0000000=>8
[5,6,2,4,3,7,1,8]=>0000001=>7
[4,5,2,6,1,7,3,8]=>0000001=>7
[4,5,1,6,3,7,2,8]=>0000001=>7
[4,5,3,6,1,7,2,8]=>0000001=>7
[5,6,3,4,1,7,2,8]=>0000001=>7
[5,6,1,4,3,7,2,8]=>0000001=>7
[5,6,1,3,2,7,4,8]=>0000001=>7
[5,6,4,7,1,3,2,8]=>0000001=>7
[6,7,4,5,1,3,2,8]=>0000001=>7
[6,7,5,8,1,3,2,4]=>0000000=>8
[4,5,1,3,2,7,6,8]=>0000101=>5
[4,6,5,7,1,3,2,8]=>0000001=>7
[4,6,1,3,2,7,5,8]=>0000001=>7
[1,4,3,6,2,7,5,8]=>1000001=>1
[3,4,1,6,5,7,2,8]=>0000001=>7
[4,5,2,3,1,7,6,8]=>0000101=>5
[4,5,3,7,6,8,1,2]=>0000000=>8
[4,6,5,7,3,8,1,2]=>0000000=>8
[4,6,5,7,2,3,1,8]=>0000001=>7
[3,5,4,6,1,7,2,8]=>0000001=>7
[3,5,1,6,4,7,2,8]=>0000001=>7
[1,5,3,6,4,7,2,8]=>1000001=>1
[1,5,3,6,2,7,4,8]=>1000001=>1
[3,5,2,6,1,7,4,8]=>0000001=>7
[3,5,2,6,4,7,1,8]=>0000001=>7
[3,4,2,6,1,7,5,8]=>0000001=>7
[4,6,2,3,1,7,5,8]=>0000001=>7
[2,4,3,6,1,7,5,8]=>0000001=>7
[2,5,3,6,4,7,1,8]=>0000001=>7
[2,5,3,6,1,7,4,8]=>0000001=>7
[3,6,2,7,5,4,8,1]=>0000000=>8
[5,2,6,7,4,3,8,1]=>0000000=>8
[3,5,2,7,6,4,8,1]=>0000000=>8
[2,5,7,3,1,8,4,6]=>0000000=>8
[2,1,5,6,8,4,3,7]=>0100000=>2
[1,3,7,2,8,5,4,6]=>1000000=>1
[4,6,2,7,1,8,3,5]=>0000000=>8
[1,5,4,3,6,8,2,7]=>1000000=>1
[1,6,4,5,7,8,3,2]=>1000000=>1
[2,1,5,6,8,4,7,3]=>0100000=>2
[2,1,5,6,8,7,3,4]=>0100000=>2
[3,6,5,2,7,8,4,1]=>0000000=>8
[6,2,4,7,5,8,3,1]=>0000000=>8
[1,5,7,8,4,2,6,3]=>1000000=>1
[3,7,4,1,8,6,2,5]=>0000000=>8
[3,4,6,8,5,7,2,1]=>0000000=>8
[4,2,5,7,3,1,8,6]=>0000000=>8
[4,5,6,2,8,7,3,1]=>0000000=>8
[2,5,6,8,1,7,4,3]=>0000000=>8
[4,5,6,1,8,7,3,2]=>0000000=>8
[4,5,6,3,1,8,7,2]=>0000000=>8
[4,3,6,2,1,7,5,8]=>0000001=>7
[4,6,3,2,1,7,5,8]=>0000001=>7
[4,6,3,1,7,5,2,8]=>0000001=>7
[4,5,3,7,6,1,8,2]=>0000000=>8
[4,5,1,7,3,8,6,2]=>0000000=>8
[2,5,7,1,4,3,8,6]=>0000000=>8
[4,3,5,7,6,1,8,2]=>0000000=>8
[4,3,6,1,7,5,2,8]=>0000001=>7
[4,3,2,6,1,7,5,8]=>0000001=>7
[5,3,2,1,6,4,7,8]=>0000011=>6
[5,3,1,6,2,7,4,8]=>0000001=>7
[5,1,6,3,2,7,4,8]=>0000001=>7
[2,6,1,4,7,5,3,8]=>0000001=>7
[3,6,1,7,4,2,5,8]=>0000001=>7
[4,6,1,7,5,3,2,8]=>0000001=>7
[5,1,6,3,7,4,2,8]=>0000001=>7
[5,3,6,4,2,1,7,8]=>0000011=>6
[5,3,2,6,4,1,7,8]=>0000011=>6
[5,2,1,6,3,7,4,8]=>0000001=>7
[5,2,6,3,1,7,4,8]=>0000001=>7
[4,2,6,3,1,7,8,5]=>0000000=>8
[3,6,2,1,7,4,5,8]=>0000001=>7
[3,6,2,7,4,1,5,8]=>0000001=>7
[3,5,7,2,8,6,4,1]=>0000000=>8
[2,4,7,1,3,6,5,8]=>0000001=>7
[2,6,1,3,7,5,4,8]=>0000001=>7
[3,6,1,7,5,2,4,8]=>0000001=>7
[5,1,6,2,7,4,3,8]=>0000001=>7
[5,2,6,4,3,1,7,8]=>0000011=>6
[5,2,1,6,4,3,7,8]=>0000011=>6
[5,4,2,1,6,3,7,8]=>0000011=>6
[5,4,2,6,3,1,7,8]=>0000011=>6
[5,4,1,6,2,7,3,8]=>0000001=>7
[5,1,6,4,2,7,3,8]=>0000001=>7
[3,6,1,7,5,4,8,2]=>0000000=>8
[2,6,1,5,4,3,7,8]=>0000011=>6
[3,1,6,2,5,4,7,8]=>0000011=>6
[5,1,6,4,3,2,7,8]=>0000011=>6
[5,4,1,6,3,2,7,8]=>0000011=>6
[5,4,3,1,6,2,7,8]=>0000011=>6
[8,2,1,7,6,5,4,3,9]=>00000001=>8
[7,3,1,6,5,4,8,2]=>0000000=>8
[7,2,8,1,5,4,3,6]=>0000000=>8
[4,2,7,6,5,8,1,3]=>0000000=>8
[3,8,2,6,5,4,1,7]=>0000000=>8
[3,2,8,7,6,5,4,1,9]=>00000001=>8
[10,1,11,9,8,7,6,5,4,3,2]=>0000000000=>11
[9,2,1,8,7,6,5,4,3,10]=>000000001=>9
[8,3,1,7,6,5,4,9,2]=>00000000=>9
[8,2,9,1,6,5,4,3,7]=>00000000=>9
[7,3,2,1,5,4,6,8]=>0000001=>7
[7,2,8,6,1,4,3,5]=>0000000=>8
[5,2,7,6,8,4,1,3]=>0000000=>8
[4,2,8,7,6,5,9,1,3]=>00000000=>9
[3,8,7,2,5,4,1,6]=>0000000=>8
[3,9,2,7,6,5,4,1,8]=>00000000=>9
[3,2,9,8,7,6,5,4,1,10]=>000000001=>9
[2,11,10,9,8,7,6,5,4,1,3]=>0000000000=>11
[10,2,1,9,8,7,6,5,4,3,11]=>0000000001=>10
[9,3,1,8,7,6,5,4,10,2]=>000000000=>10
[9,2,10,1,7,6,5,4,3,8]=>000000000=>10
[8,4,1,7,6,5,9,3,2]=>00000000=>9
[8,3,2,1,6,5,4,7,9]=>00000001=>8
[8,2,9,7,1,5,4,3,6]=>00000000=>9
[7,5,1,6,8,4,3,2]=>0000000=>8
[7,4,2,1,5,6,3,8]=>0000001=>7
[7,2,8,6,5,1,3,4]=>0000000=>8
[5,3,2,6,7,4,1,8]=>0000001=>7
[5,2,8,7,6,9,4,1,3]=>00000000=>9
[4,3,7,2,5,6,1,8]=>0000001=>7
[4,3,2,7,6,5,8,1,9]=>00000001=>8
[4,2,9,8,7,6,5,10,1,3]=>000000000=>10
[3,9,8,2,6,5,4,1,7]=>00000000=>9
[3,10,2,8,7,6,5,4,1,9]=>000000000=>10
[3,2,10,9,8,7,6,5,4,1,11]=>0000000001=>10
[3,5,8,7,2,4,6,1]=>0000000=>8
[1,4,8,2,7,6,3,5]=>1000000=>1
[5,4,2,1,7,8,3,6]=>0000000=>8
[4,7,8,3,5,2,1,6]=>0000000=>8
[6,3,7,2,8,5,4,1]=>0000000=>8
[1,7,5,3,8,2,6,4]=>1000000=>1
[1,7,6,4,3,8,2,5]=>1000000=>1
[5,1,4,3,2,7,8,6]=>0000100=>5
[3,7,8,5,2,4,1,6]=>0000000=>8
[3,7,6,2,4,1,8,5]=>0000000=>8
[5,2,7,8,4,3,1,6]=>0000000=>8
[5,3,1,7,8,4,2,6]=>0000000=>8
[6,3,1,7,5,2,8,4]=>0000000=>8
[6,7,1,8,3,4,2,5]=>0000000=>8
[7,8,3,5,1,4,2,6]=>0000000=>8
[5,6,2,7,1,8,3,4]=>0000000=>8
[6,7,2,4,3,8,1,5]=>0000000=>8
[2,4,3,8,6,7,1,5]=>0000000=>8
[1,8,2,7,4,5,3,6]=>1000000=>1
[2,5,4,8,3,6,1,7]=>0000000=>8
[2,3,1,8,5,6,4,7]=>0010000=>3
[3,8,5,6,4,7,1,2]=>0000000=>8
[5,7,3,6,4,8,1,2]=>0000000=>8
[5,7,2,3,1,6,4,8]=>0000001=>7
[5,7,2,4,3,6,1,8]=>0000001=>7
[4,6,2,7,1,5,3,8]=>0000001=>7
[4,7,1,6,2,5,3,8]=>0000001=>7
[4,7,1,5,3,6,2,8]=>0000001=>7
[4,6,3,5,1,7,2,8]=>0000001=>7
[6,7,3,5,1,4,2,8]=>0000001=>7
[5,6,3,7,1,4,2,8]=>0000001=>7
[5,7,1,6,3,4,2,8]=>0000001=>7
[1,8,5,6,3,4,2,7]=>1000000=>1
[1,8,5,6,4,7,2,3]=>1000000=>1
[5,7,1,6,4,8,2,3]=>0000000=>8
[4,6,5,8,1,7,2,3]=>0000000=>8
[3,7,1,4,2,8,5,6]=>0000000=>8
[3,5,1,4,2,8,6,7]=>0000100=>5
[4,6,5,8,3,7,1,2]=>0000000=>8
[4,6,5,8,2,3,1,7]=>0000000=>8
[3,4,2,6,5,8,1,7]=>0000000=>8
[3,5,4,6,2,8,1,7]=>0000000=>8
[1,8,3,5,4,7,2,6]=>1000000=>1
[3,4,2,7,1,8,5,6]=>0000000=>8
[4,7,2,3,1,8,5,6]=>0000000=>8
[2,4,3,8,1,7,5,6]=>0000000=>8
[2,5,3,8,4,7,1,6]=>0000000=>8
[2,6,3,8,1,7,4,5]=>0000000=>8
[2,7,1,8,3,6,4,5]=>0000000=>8
[4,5,1,8,7,6,2,3]=>0000000=>8
[4,5,7,8,2,6,3,1]=>0000000=>8
[3,1,6,8,7,4,5,2]=>0000000=>8
[6,1,4,8,7,2,5,3]=>0000000=>8
[6,1,8,4,7,3,5,2]=>0000000=>8
[6,8,3,5,7,1,4,2]=>0000000=>8
[6,7,4,2,8,5,3,1]=>0000000=>8
[2,7,5,3,8,6,4,1]=>0000000=>8
[1,5,8,2,7,3,6,4]=>1000000=>1
[6,7,4,8,1,5,3,2]=>0000000=>8
[1,7,4,8,6,2,5,3]=>1000000=>1
[6,8,5,3,7,2,4,1]=>0000000=>8
[6,8,5,2,3,7,4,1]=>0000000=>8
[7,5,3,8,2,6,4,1]=>0000000=>8
[3,6,4,7,8,5,2,1]=>0000000=>8
[6,3,4,7,8,5,2,1]=>0000000=>8
[2,5,8,3,4,1,6,7]=>0000000=>8
[4,6,7,3,2,5,8,1]=>0000000=>8
[2,6,7,3,8,5,4,1]=>0000000=>8
[2,6,1,8,4,5,3,7]=>0000000=>8
[3,6,8,4,5,7,1,2]=>0000000=>8
[1,6,8,4,7,2,3,5]=>1000000=>1
[1,4,5,7,8,2,6,3]=>1000000=>1
[3,4,5,7,8,6,1,2]=>0000000=>8
[3,4,5,7,6,8,1,2]=>0000000=>8
[3,6,7,4,8,5,1,2]=>0000000=>8
[3,4,5,6,8,7,1,2]=>0000000=>8
[1,4,5,8,7,2,3,6]=>1000000=>1
[1,2,5,8,3,6,4,7]=>1100000=>1
[1,4,5,8,6,2,3,7]=>1000000=>1
[7,8,1,4,6,2,3,5]=>0000000=>8
[1,6,7,4,8,2,5,3]=>1000000=>1
[1,4,5,6,8,2,7,3]=>1000000=>1
[1,4,5,8,6,2,7,3]=>1000000=>1
[1,2,5,8,3,4,7,6]=>1100000=>1
[1,6,7,2,3,5,8,4]=>1000000=>1
[7,8,1,2,3,5,4,6]=>0000000=>8
[1,6,7,2,3,5,4,8]=>1000001=>1
[1,4,5,7,6,2,3,8]=>1000001=>1
[1,2,5,7,3,6,4,8]=>1100001=>1
[1,2,5,7,3,6,8,4]=>1100000=>1
[1,6,8,2,3,5,7,4]=>1000000=>1
[1,6,8,4,5,2,3,7]=>1000000=>1
[1,6,8,4,5,2,7,3]=>1000000=>1
[1,6,8,2,3,4,7,5]=>1000000=>1
[1,6,8,2,3,7,4,5]=>1000000=>1
[1,4,5,7,6,2,8,3]=>1000000=>1
[7,8,1,4,5,2,6,3]=>0000000=>8
[7,8,1,2,3,4,6,5]=>0000000=>8
[7,8,1,2,3,6,4,5]=>0000000=>8
[1,6,7,2,3,8,5,4]=>1000000=>1
[1,2,5,6,3,8,7,4]=>1100000=>1
[4,2,1,6,5,3,8,7]=>0000010=>6
[8,6,2,4,3,1,5,7]=>0000000=>8
[4,6,5,2,8,3,7,1]=>0000000=>8
[2,6,4,5,8,3,7,1]=>0000000=>8
[4,2,6,3,5,8,7,1]=>0000000=>8
[8,2,4,3,6,5,1,7]=>0000000=>8
[6,2,1,8,4,3,7,5]=>0000000=>8
[4,6,8,7,5,2,1,3]=>0000000=>8
[4,2,8,6,5,7,1,3]=>0000000=>8
[8,2,6,4,5,1,3,7]=>0000000=>8
[2,8,5,3,1,4,6,7]=>0000000=>8
[2,7,4,8,3,5,1,6]=>0000000=>8
[2,7,4,8,3,5,6,1]=>0000000=>8
[7,2,8,4,3,5,1,6]=>0000000=>8
[8,4,2,1,5,3,6,7]=>0000000=>8
[8,5,1,4,2,3,6,7]=>0000000=>8
[8,4,1,5,3,2,6,7]=>0000000=>8
[6,7,3,8,4,2,5,1]=>0000000=>8
[6,7,3,8,4,2,1,5]=>0000000=>8
[7,1,8,4,3,5,2,6]=>0000000=>8
[1,7,8,4,3,5,2,6]=>1000000=>1
[7,1,4,8,3,5,2,6]=>0000000=>8
[7,4,8,1,5,6,2,3]=>0000000=>8
[7,1,8,4,3,5,6,2]=>0000000=>8
[6,7,3,1,8,4,5,2]=>0000000=>8
[6,7,3,8,4,5,2,1]=>0000000=>8
[6,7,1,4,8,3,5,2]=>0000000=>8
[6,7,4,1,3,8,2,5]=>0000000=>8
[1,6,7,8,4,3,2,5]=>1000000=>1
[7,2,1,8,4,5,3,6]=>0000000=>8
[6,2,7,1,8,4,3,5]=>0000000=>8
[6,2,7,8,4,3,1,5]=>0000000=>8
[6,2,7,8,4,3,5,1]=>0000000=>8
[2,6,7,4,8,3,5,1]=>0000000=>8
[2,6,7,4,8,3,1,5]=>0000000=>8
[7,8,1,3,6,2,4,5]=>0000000=>8
[1,2,7,8,6,3,4,5]=>1100000=>1
[2,6,7,1,8,5,3,4]=>0000000=>8
[2,6,7,8,5,3,1,4]=>0000000=>8
[2,6,7,8,5,3,4,1]=>0000000=>8
[6,2,7,8,4,5,3,1]=>0000000=>8
[7,2,1,8,4,5,6,3]=>0000000=>8
[1,7,2,8,4,5,6,3]=>1000000=>1
[3,7,8,1,5,6,2,4]=>0000000=>8
[6,3,7,8,1,5,2,4]=>0000000=>8
[6,7,1,2,8,5,3,4]=>0000000=>8
[1,6,7,8,4,2,5,3]=>1000000=>1
[4,1,5,7,3,2,6,8]=>0000001=>7
[4,6,1,7,3,2,5,8]=>0000001=>7
[1,6,5,8,7,3,4,2]=>1000000=>1
[1,5,7,3,4,8,6,2]=>1000000=>1
[3,8,1,2,4,5,7,6]=>0000000=>8
[7,6,2,4,3,1,5,8]=>0000001=>7
[8,1,7,4,6,3,2,5]=>0000000=>8
[7,4,5,2,3,8,6,1]=>0000000=>8
[7,2,3,4,5,8,6,1]=>0000000=>8
[8,2,3,4,5,7,1,6]=>0000000=>8
[4,7,3,2,8,6,1,5]=>0000000=>8
[4,8,1,5,6,7,3,2]=>0000000=>8
[3,7,6,1,8,5,2,4]=>0000000=>8
[7,6,1,4,8,5,2,3]=>0000000=>8
[5,4,8,3,6,7,1,2]=>0000000=>8
[4,6,8,3,5,2,7,1]=>0000000=>8
[5,7,8,3,2,4,1,6]=>0000000=>8
[6,8,2,3,1,4,5,7]=>0000000=>8
[5,2,7,4,8,3,1,6]=>0000000=>8
[3,7,8,2,1,4,6,5]=>0000000=>8
[3,7,5,2,8,4,1,6]=>0000000=>8
[6,3,2,4,1,8,7,5]=>0000000=>8
[7,2,3,4,8,5,1,6]=>0000000=>8
[5,7,3,1,4,2,6,8]=>0000001=>7
[3,7,4,1,8,2,5,6]=>0000000=>8
[6,3,7,4,8,1,2,5]=>0000000=>8
[8,3,7,4,2,6,1,5]=>0000000=>8
[3,7,4,1,5,6,2,8]=>0000001=>7
[1,8,3,2,4,5,7,6]=>1000000=>1
[8,4,1,6,3,7,5,2]=>0000000=>8
[8,7,4,2,1,6,3,5]=>0000000=>8
[8,3,5,2,7,4,1,6]=>0000000=>8
[1,5,3,8,7,6,4,2]=>1000000=>1
[7,2,4,8,1,3,6,5]=>0000000=>8
[1,2,8,7,5,6,3,4]=>1100000=>1
[3,1,8,6,7,5,2,4]=>0000000=>8
[1,4,8,6,5,7,2,3]=>1000000=>1
[1,6,5,4,8,2,3,7]=>1000000=>1
[5,1,6,8,3,4,2,7]=>0000000=>8
[6,2,5,1,7,4,3,8]=>0000001=>7
[5,2,1,8,7,4,3,6]=>0000000=>8
[5,2,6,3,8,1,4,7]=>0000000=>8
[5,2,8,3,4,6,1,7]=>0000000=>8
[6,2,8,4,3,1,7,5]=>0000000=>8
[7,2,8,1,3,6,5,4]=>0000000=>8
[7,3,8,1,4,6,2,5]=>0000000=>8
[1,7,8,5,4,6,3,2]=>1000000=>1
[1,5,8,4,6,3,7,2]=>1000000=>1
[5,3,8,4,1,2,7,6]=>0000000=>8
[5,8,4,3,6,2,1,7]=>0000000=>8
[1,8,3,6,5,2,7,4]=>1000000=>1
[1,8,2,4,7,6,5,3]=>1000000=>1
[3,8,1,4,6,7,5,2]=>0000000=>8
[3,8,2,5,1,7,6,4]=>0000000=>8
[4,3,8,2,5,1,6,7]=>0000000=>8
[8,2,4,3,5,1,7,6]=>0000000=>8
[8,2,1,4,6,5,7,3]=>0000000=>8
[8,1,3,4,5,7,6,2]=>0000000=>8
[6,1,5,2,4,7,8,3]=>0000000=>8
[4,1,8,5,2,7,6,3]=>0000000=>8
[4,1,8,2,3,7,5,6]=>0000000=>8
[6,7,3,5,1,4,8,2]=>0000000=>8
[6,4,7,5,8,2,3,1]=>0000000=>8
[5,7,8,4,2,6,3,1]=>0000000=>8
[5,4,7,6,2,8,3,1]=>0000000=>8
[5,7,4,1,6,8,3,2]=>0000000=>8
[6,8,4,5,7,1,3,2]=>0000000=>8
[5,8,4,6,1,7,3,2]=>0000000=>8
[5,6,1,4,7,8,3,2]=>0000000=>8
[5,6,7,2,4,8,3,1]=>0000000=>8
[5,6,3,7,4,8,2,1]=>0000000=>8
[5,3,6,7,4,8,2,1]=>0000000=>8
[5,3,2,8,6,7,4,1]=>0000000=>8
[5,4,8,2,6,7,3,1]=>0000000=>8
[5,4,8,6,2,7,3,1]=>0000000=>8
[6,4,8,5,7,2,3,1]=>0000000=>8
[7,4,8,5,6,2,1,3]=>0000000=>8
[4,6,8,5,7,2,3,1]=>0000000=>8
[5,6,8,2,4,7,3,1]=>0000000=>8
[5,6,3,8,4,7,2,1]=>0000000=>8
[4,6,3,5,8,7,2,1]=>0000000=>8
[4,6,3,2,8,7,5,1]=>0000000=>8
[5,6,3,8,2,7,4,1]=>0000000=>8
[3,6,5,8,7,2,4,1]=>0000000=>8
[5,3,6,8,2,7,4,1]=>0000000=>8
[4,3,7,2,8,6,5,1]=>0000000=>8
[5,4,7,2,6,8,3,1]=>0000000=>8
[5,3,2,7,6,8,4,1]=>0000000=>8
[6,7,3,8,5,2,4,1]=>0000000=>8
[6,3,2,7,5,4,8,1]=>0000000=>8
[6,4,7,2,5,3,8,1]=>0000000=>8
[6,2,7,5,1,4,8,3]=>0000000=>8
[2,7,8,5,3,6,1,4]=>0000000=>8
[6,3,7,8,4,2,5,1]=>0000000=>8
[3,5,7,8,4,6,2,1]=>0000000=>8
[5,3,7,8,4,6,2,1]=>0000000=>8
[5,7,8,2,4,6,3,1]=>0000000=>8
[2,5,8,4,3,7,6,1]=>0000000=>8
[2,6,8,4,7,3,5,1]=>0000000=>8
[3,7,4,8,6,2,1,5]=>0000000=>8
[3,6,4,8,7,2,5,1]=>0000000=>8
[3,5,4,8,2,7,6,1]=>0000000=>8
[4,3,7,5,8,6,2,1]=>0000000=>8
[4,5,7,3,8,6,2,1]=>0000000=>8
[3,5,6,8,4,7,2,1]=>0000000=>8
[6,3,1,8,7,5,4,2]=>0000000=>8
[5,4,8,1,7,6,3,2]=>0000000=>8
[8,5,4,1,7,6,3,2]=>0000000=>8
[1,8,2,5,6,3,4,7]=>1000000=>1
[7,2,8,4,5,1,3,6]=>0000000=>8
[1,3,7,5,6,2,4,8]=>1000001=>1
[1,6,7,4,3,5,2,8]=>1000001=>1
[1,8,5,2,3,7,4,6]=>1000000=>1
[1,8,2,5,3,6,7,4]=>1000000=>1
[2,6,8,4,3,5,7,1]=>0000000=>8
[7,5,8,3,2,1,6,4]=>0000000=>8
[7,2,8,4,1,5,6,3]=>0000000=>8
[7,5,8,1,2,6,3,4]=>0000000=>8
[1,6,7,4,3,2,8,5]=>1000000=>1
[1,5,2,6,4,7,8,3]=>1000000=>1
[1,5,4,6,2,3,7,8]=>1000011=>1
[6,2,5,7,1,4,8,3]=>0000000=>8
[6,5,4,3,8,1,7,2]=>0000000=>8
[7,3,6,8,5,2,4,1]=>0000000=>8
[2,7,8,3,6,5,1,4]=>0000000=>8
[2,7,8,5,4,6,3,1]=>0000000=>8
[2,6,5,8,3,4,1,7]=>0000000=>8
[2,6,5,7,3,4,1,8]=>0000001=>7
[6,2,5,7,4,1,3,8]=>0000001=>7
[6,2,5,8,4,1,3,7]=>0000000=>8
[2,7,8,4,6,1,3,5]=>0000000=>8
[6,1,2,8,3,7,4,5]=>0000000=>8
[6,1,2,8,5,4,7,3]=>0000000=>8
[6,2,5,7,8,1,3,4]=>0000000=>8
[1,5,4,2,6,7,3,8]=>1000001=>1
[2,6,5,7,3,8,1,4]=>0000000=>8
[1,6,2,7,5,8,4,3]=>1000000=>1
[1,3,2,7,8,5,6,4]=>1010000=>1
[1,6,2,4,8,7,3,5]=>1000000=>1
[6,5,2,1,8,7,3,4]=>0000000=>8
[2,6,5,3,7,8,4,1]=>0000000=>8
[6,2,5,3,8,4,7,1]=>0000000=>8
[6,5,2,3,8,7,1,4]=>0000000=>8
[5,4,1,2,3,8,6,7]=>0000100=>5
[5,1,4,2,3,7,8,6]=>0000100=>5
[1,5,4,2,6,3,8,7]=>1000010=>1
[9,8,7,6,5,4,3,1,2,10]=>000000001=>9
[8,7,6,5,4,2,1,3,9]=>00000001=>8
[1,9,8,7,6,5,3,2,4]=>10000000=>1
[1,8,7,6,2,5,4,3]=>1000000=>1
[1,9,8,7,6,5,2,4,3]=>10000000=>1
[1,10,9,8,7,6,5,4,2,3]=>100000000=>1
[2,1,9,8,7,6,5,4,3]=>01000000=>2
[1,2,9,8,7,6,5,4,3]=>11000000=>1
[3,2,1,9,8,7,6,5,4]=>00100000=>3
[1,3,2,9,8,7,6,5,4]=>10100000=>1
[1,2,3,9,8,7,6,5,4]=>11100000=>1
[4,3,2,1,9,8,7,6,5]=>00010000=>4
[1,4,3,2,9,8,7,6,5]=>10010000=>1
[2,1,4,3,9,8,7,6,5]=>01010000=>2
[1,2,4,3,9,8,7,6,5]=>11010000=>1
[1,2,3,4,9,8,7,6,5]=>11110000=>1
[1,5,4,3,2,9,8,7,6]=>10001000=>1
[2,1,5,4,3,9,8,7,6]=>01001000=>2
[1,2,5,4,3,9,8,7,6]=>11001000=>1
[1,3,2,5,4,9,8,7,6]=>10101000=>1
[1,2,3,5,4,9,8,7,6]=>11101000=>1
[1,2,3,4,5,9,8,7,6]=>11111000=>1
[1,3,2,6,5,4,9,8,7]=>10100100=>1
[1,2,3,6,5,4,9,8,7]=>11100100=>1
[2,1,4,3,6,5,9,8,7]=>01010100=>2
[1,2,4,3,6,5,9,8,7]=>11010100=>1
[1,2,3,4,6,5,9,8,7]=>11110100=>1
[1,2,3,5,4,7,6,9,8]=>11101010=>1
[1,2,3,4,5,7,6,9,8]=>11111010=>1
[1,2,10,9,8,7,6,5,4,3]=>110000000=>1
[3,2,1,10,9,8,7,6,5,4]=>001000000=>3
[1,3,2,10,9,8,7,6,5,4]=>101000000=>1
[1,2,3,10,9,8,7,6,5,4]=>111000000=>1
[1,4,3,2,10,9,8,7,6,5]=>100100000=>1
[1,2,4,3,10,9,8,7,6,5]=>110100000=>1
[1,2,3,4,10,9,8,7,6,5]=>111100000=>1
[1,5,4,3,2,10,9,8,7,6]=>100010000=>1
[2,1,5,4,3,10,9,8,7,6]=>010010000=>2
[1,2,5,4,3,10,9,8,7,6]=>110010000=>1
[1,3,2,5,4,10,9,8,7,6]=>101010000=>1
[1,2,3,5,4,10,9,8,7,6]=>111010000=>1
[1,2,6,5,4,3,10,9,8,7]=>110001000=>1
[3,2,1,6,5,4,10,9,8,7]=>001001000=>3
[1,3,2,6,5,4,10,9,8,7]=>101001000=>1
[1,2,3,6,5,4,10,9,8,7]=>111001000=>1
[1,2,4,3,6,5,10,9,8,7]=>110101000=>1
[1,2,3,4,6,5,10,9,8,7]=>111101000=>1
[1,2,3,4,5,6,10,9,8,7]=>111111000=>1
[1,4,3,2,7,6,5,10,9,8]=>100100100=>1
[2,1,4,3,7,6,5,10,9,8]=>010100100=>2
[1,2,4,3,7,6,5,10,9,8]=>110100100=>1
[1,2,3,4,7,6,5,10,9,8]=>111100100=>1
[1,3,2,5,4,7,6,10,9,8]=>101010100=>1
[1,2,3,5,4,7,6,10,9,8]=>111010100=>1
[1,2,3,4,5,7,6,10,9,8]=>111110100=>1
[1,2,3,4,5,6,7,10,9,8]=>111111100=>1
[1,2,4,3,6,5,8,7,10,9]=>110101010=>1
[1,2,3,4,6,5,8,7,10,9]=>111101010=>1
[1,2,3,4,5,6,8,7,10,9]=>111111010=>1
[5,2,7,4,1,6,3,8]=>0000001=>7
[4,7,3,1,5,6,2,8]=>0000001=>7
[5,8,3,4,1,6,7,2]=>0000000=>8
[1,7,8,4,5,6,2,3]=>1000000=>1
[1,5,8,4,2,6,7,3]=>1000000=>1
[1,6,3,8,5,2,7,4]=>1000000=>1
[5,2,3,7,1,6,4,8]=>0000001=>7
[6,2,3,7,5,1,4,8]=>0000001=>7
[1,7,3,4,8,6,2,5]=>1000000=>1
[6,2,3,4,8,1,7,5]=>0000000=>8
[8,7,3,2,1,6,5,4]=>0000000=>8
[8,7,6,3,1,5,2,4]=>0000000=>8
[8,5,1,7,2,3,4,6]=>0000000=>8
[9,8,7,6,5,2,1,4,3]=>00000000=>9
[9,8,7,3,2,1,6,5,4]=>00000000=>9
[9,8,7,6,3,1,5,2,4]=>00000000=>9
[9,4,3,2,1,8,7,6,5]=>00000000=>9
[9,8,4,3,1,7,6,2,5]=>00000000=>9
[9,8,7,2,1,4,3,6,5]=>00000000=>9
[9,8,7,4,1,6,2,3,5]=>00000000=>9
[5,4,3,1,9,8,7,2,6]=>00000000=>9
[9,5,2,1,8,4,3,7,6]=>00000000=>9
[9,8,3,1,5,2,7,4,6]=>00000000=>9
[6,3,1,9,5,2,8,4,7]=>00000000=>9
[6,5,1,9,8,2,3,4,7]=>00000000=>9
[9,2,1,4,3,6,5,8,7]=>00000000=>9
[9,6,1,8,2,3,4,5,7]=>00000000=>9
[5,1,7,2,9,3,4,6,8]=>00000000=>9
[7,1,9,2,3,4,5,6,8]=>00000000=>9
[10,9,8,7,6,5,2,1,4,3]=>000000000=>10
[10,9,8,7,3,2,1,6,5,4]=>000000000=>10
[10,9,8,7,6,3,1,5,2,4]=>000000000=>10
[10,9,4,3,2,1,8,7,6,5]=>000000000=>10
[10,9,8,4,3,1,7,6,2,5]=>000000000=>10
[10,9,8,7,2,1,4,3,6,5]=>000000000=>10
[10,9,8,7,4,1,6,2,3,5]=>000000000=>10
[10,5,4,3,1,9,8,7,2,6]=>000000000=>10
[10,9,5,2,1,8,4,3,7,6]=>000000000=>10
[10,9,5,4,1,8,7,2,3,6]=>000000000=>10
[10,9,8,3,1,5,2,7,4,6]=>000000000=>10
[6,5,2,1,10,9,4,3,8,7]=>000000000=>10
[6,5,4,1,10,9,8,2,3,7]=>000000000=>10
[10,3,2,1,6,5,4,9,8,7]=>000000000=>10
[10,6,5,1,9,8,2,3,4,7]=>000000000=>10
[10,9,2,1,4,3,6,5,8,7]=>000000000=>10
[10,9,6,1,8,2,3,4,5,7]=>000000000=>10
[4,3,1,7,6,2,10,9,5,8]=>000000000=>10
[7,2,1,10,4,3,6,5,9,8]=>000000000=>10
[7,4,1,10,6,2,9,3,5,8]=>000000000=>10
[7,6,1,10,9,2,3,4,5,8]=>000000000=>10
[10,5,1,7,2,9,3,4,6,8]=>000000000=>10
[10,7,1,9,2,3,4,5,6,8]=>000000000=>10
[4,1,6,2,8,3,10,5,7,9]=>000000000=>10
[6,1,8,2,10,3,4,5,7,9]=>000000000=>10
[8,1,10,2,3,4,5,6,7,9]=>000000000=>10
[2,4,8,5,3,7,1,6]=>0000000=>8
[2,4,1,8,5,3,7,6]=>0000000=>8
[2,4,8,6,3,1,7,5]=>0000000=>8
[3,4,6,8,2,1,7,5]=>0000000=>8
[3,4,1,5,8,2,7,6]=>0000000=>8
[8,1,4,5,3,2,7,6]=>0000000=>8
[3,4,1,5,2,8,7,6]=>0000100=>5
[3,4,6,2,1,8,7,5]=>0000000=>8
[3,5,6,2,1,7,8,4]=>0000000=>8
[3,4,6,2,7,8,1,5]=>0000000=>8
[8,1,4,6,3,7,2,5]=>0000000=>8
[8,1,4,6,3,7,5,2]=>0000000=>8
[3,5,6,2,1,7,4,8]=>0000001=>7
[8,1,5,6,7,3,4,2]=>0000000=>8
[8,1,5,6,7,3,2,4]=>0000000=>8
[3,4,1,6,8,7,2,5]=>0000000=>8
[3,5,6,1,8,7,2,4]=>0000000=>8
[2,1,3,8,6,7,4,5]=>0110000=>2
[8,1,3,2,6,7,5,4]=>0000000=>8
[2,3,8,6,7,1,5,4]=>0000000=>8
[2,4,1,8,6,7,5,3]=>0000000=>8
[2,5,8,6,1,7,4,3]=>0000000=>8
[3,5,6,1,8,7,4,2]=>0000000=>8
[3,4,1,6,8,7,5,2]=>0000000=>8
[3,4,6,8,7,1,5,2]=>0000000=>8
[8,1,4,6,2,7,5,3]=>0000000=>8
[3,5,1,6,7,8,4,2]=>0000000=>8
[4,5,6,1,7,8,3,2]=>0000000=>8
[4,5,6,1,7,3,8,2]=>0000000=>8
[3,5,1,6,7,4,8,2]=>0000000=>8
[8,1,5,6,7,4,2,3]=>0000000=>8
[8,1,5,6,7,4,3,2]=>0000000=>8
[3,5,1,6,7,4,2,8]=>0000001=>7
[4,5,6,1,7,3,2,8]=>0000001=>7
[6,5,8,7,4,3,1,2]=>0000000=>8
[6,1,4,8,7,5,2,3]=>0000000=>8
[7,6,2,1,4,8,3,5]=>0000000=>8
[8,1,6,3,4,7,2,5]=>0000000=>8
[1,2,7,5,4,8,3,6]=>1100000=>1
[3,2,7,5,4,8,1,6]=>0000000=>8
[6,8,3,2,4,7,1,5]=>0000000=>8
[3,7,2,5,4,8,1,6]=>0000000=>8
[1,3,7,5,4,8,2,6]=>1000000=>1
[8,7,5,6,2,1,4,3]=>0000000=>8
[2,7,3,5,4,8,1,6]=>0000000=>8
[8,2,5,4,7,3,1,6]=>0000000=>8
[8,1,7,6,4,3,5,2]=>0000000=>8
[7,1,8,6,4,3,5,2]=>0000000=>8
[7,3,6,5,2,1,4,8]=>0000001=>7
[6,4,2,5,1,8,3,7]=>0000000=>8
[6,3,5,2,1,4,7,8]=>0000011=>6
[2,3,5,8,1,4,7,6]=>0000000=>8
[6,3,8,5,2,7,1,4]=>0000000=>8
[7,3,5,2,1,4,6,8]=>0000001=>7
[8,4,2,5,1,3,7,6]=>0000000=>8
[2,3,6,8,1,4,7,5]=>0000000=>8
[7,3,8,5,2,1,4,6]=>0000000=>8
[2,3,6,1,8,4,7,5]=>0000000=>8
[2,4,8,1,3,7,5,6]=>0000000=>8
[2,5,8,1,7,3,6,4]=>0000000=>8
[2,8,1,5,7,3,6,4]=>0000000=>8
[2,6,8,1,5,7,3,4]=>0000000=>8
[2,7,1,5,8,3,4,6]=>0000000=>8
[3,7,5,8,1,2,6,4]=>0000000=>8
[7,3,6,1,2,8,4,5]=>0000000=>8
[6,8,4,5,1,7,2,3]=>0000000=>8
[5,1,8,7,6,2,3,4]=>0000000=>8
[8,5,1,6,2,7,3,4]=>0000000=>8
[4,6,1,8,7,5,2,3]=>0000000=>8
[4,5,1,8,7,2,3,6]=>0000000=>8
[3,4,8,7,1,2,5,6]=>0000000=>8
[5,6,8,3,7,1,4,2]=>0000000=>8
[6,4,7,1,2,8,5,3]=>0000000=>8
[6,5,1,2,7,3,8,4]=>0000000=>8
[6,5,1,8,2,7,3,4]=>0000000=>8
[6,5,1,8,7,2,3,4]=>0000000=>8
[6,5,1,7,2,8,3,4]=>0000000=>8
[6,5,1,7,2,3,8,4]=>0000000=>8
[5,6,8,7,4,1,2,3]=>0000000=>8
[6,8,5,7,4,1,2,3]=>0000000=>8
[7,3,8,1,5,2,4,6]=>0000000=>8
[4,1,7,5,3,6,2,8]=>0000001=>7
[1,8,4,2,3,6,7,5]=>1000000=>1
[2,5,8,3,4,6,7,1]=>0000000=>8
[4,1,7,2,3,6,8,5]=>0000000=>8
[4,6,2,1,5,7,8,3]=>0000000=>8
[4,5,2,3,1,7,8,6]=>0000100=>5
[3,2,6,7,4,1,8,5]=>0000000=>8
[5,6,2,7,1,4,8,3]=>0000000=>8
[6,2,3,8,1,7,4,5]=>0000000=>8
[2,6,8,3,4,7,1,5]=>0000000=>8
[4,6,2,7,5,1,3,8]=>0000001=>7
[2,6,3,1,8,4,5,7]=>0000000=>8
[2,4,3,7,8,1,5,6]=>0000000=>8
[5,3,2,7,4,8,1,6]=>0000000=>8
[5,1,2,7,6,8,4,3]=>0000000=>8
[2,6,3,1,8,7,4,5]=>0000000=>8
[3,5,6,4,7,8,1,2]=>0000000=>8
[5,3,6,4,2,8,7,1]=>0000000=>8
[5,4,2,3,7,8,6,1]=>0000000=>8
[4,1,8,2,5,7,3,6]=>0000000=>8
[3,1,8,4,7,2,5,6]=>0000000=>8
[6,2,3,8,4,1,7,5]=>0000000=>8
[2,6,4,1,5,3,8,7]=>0000010=>6
[3,2,7,6,4,1,8,5]=>0000000=>8
[2,5,4,1,7,6,8,3]=>0000000=>8
[6,2,1,4,7,8,3,5]=>0000000=>8
[2,6,5,1,7,8,3,4]=>0000000=>8
[4,7,5,2,1,6,3,8]=>0000001=>7
[4,2,3,7,8,1,6,5]=>0000000=>8
[6,8,3,1,5,2,4,7]=>0000000=>8
[6,8,3,2,5,1,7,4]=>0000000=>8
[6,8,4,3,1,5,7,2]=>0000000=>8
[6,8,4,2,1,5,7,3]=>0000000=>8
[5,1,7,3,2,4,6,8]=>0000001=>7
[4,3,8,1,6,2,7,5]=>0000000=>8
[4,2,1,8,5,7,3,6]=>0000000=>8
[6,3,2,1,7,4,5,8]=>0000001=>7
[6,4,2,1,7,5,3,8]=>0000001=>7
[6,3,2,8,7,1,4,5]=>0000000=>8
[4,2,8,1,7,3,5,6]=>0000000=>8
[4,3,8,7,2,1,5,6]=>0000000=>8
[4,3,1,6,2,7,5,8]=>0000001=>7
[5,4,1,7,2,8,6,3]=>0000000=>8
[6,5,3,1,7,8,4,2]=>0000000=>8
[5,4,2,1,6,7,3,8]=>0000001=>7
[6,4,2,1,7,8,5,3]=>0000000=>8
[5,3,2,1,6,7,8,4]=>0000000=>8
[8,6,1,4,5,7,2,3]=>0000000=>8
[5,2,8,3,7,4,6,1]=>0000000=>8
[6,2,8,5,4,7,3,1]=>0000000=>8
[1,8,6,3,7,4,2,5]=>1000000=>1
[1,8,6,5,7,2,3,4]=>1000000=>1
[5,2,8,4,3,6,7,1]=>0000000=>8
[5,4,2,7,3,6,1,8]=>0000001=>7
[5,4,2,8,3,6,1,7]=>0000000=>8
[6,5,3,8,4,7,2,1]=>0000000=>8
[5,2,8,4,3,7,1,6]=>0000000=>8
[6,2,8,3,7,4,1,5]=>0000000=>8
[5,4,2,7,3,1,8,6]=>0000000=>8
[6,4,3,7,1,2,8,5]=>0000000=>8
[6,4,3,8,1,2,7,5]=>0000000=>8
[7,6,3,8,4,2,1,5]=>0000000=>8
[7,2,8,5,1,6,3,4]=>0000000=>8
[7,2,8,4,3,1,5,6]=>0000000=>8
[7,5,3,8,4,2,6,1]=>0000000=>8
[6,4,2,7,3,1,5,8]=>0000001=>7
[7,6,4,8,2,3,5,1]=>0000000=>8
[7,6,8,1,2,5,3,4]=>0000000=>8
[5,3,1,7,8,4,6,2]=>0000000=>8
[5,3,2,7,8,4,6,1]=>0000000=>8
[5,4,1,6,3,8,7,2]=>0000000=>8
[6,5,1,7,8,2,3,4]=>0000000=>8
[6,3,1,7,8,4,2,5]=>0000000=>8
[5,4,1,7,3,8,2,6]=>0000000=>8
[6,3,2,7,8,4,1,5]=>0000000=>8
[8,7,6,1,3,5,2,4]=>0000000=>8
[8,4,1,5,7,6,2,3]=>0000000=>8
[8,4,7,6,3,1,5,2]=>0000000=>8
[5,4,1,7,6,2,8,3]=>0000000=>8
[3,5,6,7,1,4,8,2]=>0000000=>8
[5,7,2,1,6,3,8,4]=>0000000=>8
[6,8,7,1,3,2,5,4]=>0000000=>8
[6,4,8,1,3,2,7,5]=>0000000=>8
[1,4,5,2,8,6,7,3]=>1000000=>1
[2,3,1,7,8,6,4,5]=>0010000=>3
[4,5,6,1,2,8,7,3]=>0000000=>8
[5,1,3,2,7,8,4,6]=>0000000=>8
[1,5,4,2,7,8,3,6]=>1000000=>1
[5,3,8,1,7,2,4,6]=>0000000=>8
[3,6,7,8,4,2,1,5]=>0000000=>8
[2,5,8,3,1,6,7,4]=>0000000=>8
[1,5,8,3,2,6,7,4]=>1000000=>1
[1,3,8,6,2,4,7,5]=>1000000=>1
[4,8,7,2,1,6,3,5]=>0000000=>8
[8,3,4,2,1,6,5,7]=>0000000=>8
[2,4,5,8,3,6,1,7]=>0000000=>8
[3,5,8,1,2,6,4,7]=>0000000=>8
[2,6,4,3,7,8,5,1]=>0000000=>8
[7,4,1,8,3,2,5,6]=>0000000=>8
[5,6,1,7,4,2,8,3]=>0000000=>8
[3,6,5,7,1,8,4,2]=>0000000=>8
[6,7,3,8,4,1,2,5]=>0000000=>8
[4,7,5,8,3,1,2,6]=>0000000=>8
[3,6,7,4,8,1,2,5]=>0000000=>8
[5,7,3,1,6,8,4,2]=>0000000=>8
[8,7,6,4,1,2,5,3]=>0000000=>8
[8,5,3,2,7,6,1,4]=>0000000=>8
[2,5,1,3,6,8,7,4]=>0000000=>8
[8,7,5,4,2,1,6,3]=>0000000=>8
[6,7,2,5,1,8,4,3]=>0000000=>8
[3,6,1,2,5,8,4,7]=>0000000=>8
[1,4,5,8,2,3,7,6]=>1000000=>1
[1,2,6,4,5,8,3,7]=>1100000=>1
[1,5,2,4,6,8,3,7]=>1000000=>1
[3,6,1,5,8,2,4,7]=>0000000=>8
[2,6,5,1,4,8,3,7]=>0000000=>8
[5,2,6,1,4,8,3,7]=>0000000=>8
[2,5,1,8,4,7,3,6]=>0000000=>8
[2,7,1,4,3,6,8,5]=>0000000=>8
[1,3,7,5,8,2,4,6]=>1000000=>1
[8,2,1,5,7,3,4,6]=>0000000=>8
[2,5,4,8,1,3,7,6]=>0000000=>8
[2,4,1,3,8,6,7,5]=>0001000=>4
[8,4,3,7,1,2,6,5]=>0000000=>8
[1,7,3,5,8,2,6,4]=>1000000=>1
[1,8,4,2,6,7,3,5]=>1000000=>1
[3,1,6,8,7,2,4,5]=>0000000=>8
[7,2,1,6,8,3,4,5]=>0000000=>8
[3,1,7,6,8,2,4,5]=>0000000=>8
[4,1,7,2,6,8,3,5]=>0000000=>8
[5,1,7,2,3,6,8,4]=>0000000=>8
[7,2,1,6,3,5,8,4]=>0000000=>8
[2,6,1,7,3,5,8,4]=>0000000=>8
[7,1,2,5,3,6,8,4]=>0000000=>8
[5,4,1,2,7,8,3,6]=>0000000=>8
[8,1,3,2,4,6,7,5]=>0000000=>8
[7,3,1,2,4,6,8,5]=>0000000=>8
[1,8,3,4,7,2,5,6]=>1000000=>1
[3,5,8,1,2,7,4,6]=>0000000=>8
[3,6,8,1,2,4,7,5]=>0000000=>8
[4,1,3,8,7,2,6,5]=>0000000=>8
[1,3,7,4,8,2,6,5]=>1000000=>1
[1,4,6,8,2,3,7,5]=>1000000=>1
[3,5,8,1,7,2,4,6]=>0000000=>8
[2,6,8,1,7,3,4,5]=>0000000=>8
[6,1,5,8,2,3,7,4]=>0000000=>8
[1,8,3,2,7,5,6,4]=>1000000=>1
[3,1,7,2,8,5,6,4]=>0000000=>8
[2,6,7,3,8,1,5,4]=>0000000=>8
[8,4,1,7,3,6,2,5]=>0000000=>8
[3,7,2,8,6,1,5,4]=>0000000=>8
[6,2,3,8,7,1,5,4]=>0000000=>8
[6,8,2,4,3,7,5,1]=>0000000=>8
[6,8,2,7,3,5,4,1]=>0000000=>8
[3,7,8,2,4,1,5,6]=>0000000=>8
[8,6,1,7,2,5,4,3]=>0000000=>8
[8,7,6,1,2,3,5,4]=>0000000=>8
[8,3,4,7,1,6,2,5]=>0000000=>8
[2,8,6,7,5,3,4,1]=>0000000=>8
[2,1,8,7,3,6,4,5]=>0100000=>2
[4,6,5,2,7,3,8,1]=>0000000=>8
[6,3,8,7,4,5,1,2]=>0000000=>8
[8,5,7,4,6,2,1,3]=>0000000=>8
[5,8,3,2,4,6,1,7]=>0000000=>8
[2,1,8,6,4,3,7,5]=>0100000=>2
[7,5,4,3,1,8,6,2]=>0000000=>8
[4,1,3,6,7,5,8,2]=>0000000=>8
[1,7,2,4,5,8,3,6]=>1000000=>1
[1,7,4,5,8,3,2,6]=>1000000=>1
[2,6,4,7,8,3,5,1]=>0000000=>8
[1,2,6,4,7,8,3,5]=>1100000=>1
[6,1,4,7,8,3,5,2]=>0000000=>8
[3,6,4,7,8,1,2,5]=>0000000=>8
[4,7,2,1,5,3,8,6]=>0000000=>8
[1,3,6,4,7,2,8,5]=>1000000=>1
[3,6,4,7,2,8,5,1]=>0000000=>8
[5,1,3,4,2,7,8,6]=>0000100=>5
[1,6,7,3,8,2,5,4]=>1000000=>1
[6,1,4,7,8,5,2,3]=>0000000=>8
[8,6,5,1,3,2,4,7]=>0000000=>8
[5,8,6,4,1,3,2,7]=>0000000=>8
[6,8,5,7,4,2,3,1]=>0000000=>8
[2,3,8,7,1,6,4,5]=>0000000=>8
[3,5,8,7,4,1,2,6]=>0000000=>8
[4,8,1,2,7,3,5,6]=>0000000=>8
[6,8,1,2,7,4,5,3]=>0000000=>8
[2,4,8,7,5,6,1,3]=>0000000=>8
[6,4,8,7,5,1,2,3]=>0000000=>8
[6,3,8,7,2,1,4,5]=>0000000=>8
[3,7,6,8,5,1,2,4]=>0000000=>8
[2,6,7,8,5,1,3,4]=>0000000=>8
[2,8,3,4,1,5,7,6]=>0000000=>8
[6,8,7,1,5,2,3,4]=>0000000=>8
[5,8,3,2,7,6,1,4]=>0000000=>8
[4,5,3,2,8,6,7,1]=>0000000=>8
[3,5,8,6,1,4,7,2]=>0000000=>8
[2,6,4,8,5,1,7,3]=>0000000=>8
[7,6,4,8,5,2,1,3]=>0000000=>8
[3,4,8,7,5,6,2,1]=>0000000=>8
[7,5,3,2,8,6,1,4]=>0000000=>8
[4,5,1,2,8,6,7,3]=>0000000=>8
[6,1,5,7,2,4,8,3]=>0000000=>8
[7,4,5,1,2,3,8,6]=>0000000=>8
[8,4,7,6,2,1,5,3]=>0000000=>8
[3,5,7,6,4,1,8,2]=>0000000=>8
[5,7,2,3,6,4,8,1]=>0000000=>8
[4,8,7,6,1,2,5,3]=>0000000=>8
[6,8,3,1,2,4,5,7]=>0000000=>8
[6,2,7,4,8,1,3,5]=>0000000=>8
[4,3,2,6,8,1,7,5]=>0000000=>8
[3,5,4,2,8,1,6,7]=>0000000=>8
[1,5,8,3,7,4,2,6]=>1000000=>1
[3,6,8,5,2,7,4,1]=>0000000=>8
[2,1,6,5,4,8,3,7]=>0100000=>2
[2,1,7,8,4,6,5,3]=>0100000=>2
[7,6,3,8,1,5,4,2]=>0000000=>8
[7,2,4,1,6,3,8,5]=>0000000=>8
[8,4,3,1,7,5,2,6]=>0000000=>8
[4,3,8,7,1,6,5,2]=>0000000=>8
[5,2,4,3,6,8,1,7]=>0000000=>8
[4,2,7,5,8,3,6,1]=>0000000=>8
[5,8,2,7,3,4,6,1]=>0000000=>8
[6,7,2,4,5,3,8,1]=>0000000=>8
[6,3,2,1,4,8,5,7]=>0000000=>8
[8,7,3,5,4,2,1,6]=>0000000=>8
[8,4,6,5,3,2,1,7]=>0000000=>8
[9,1,8,7,6,5,4,3,2]=>00000000=>9
[7,6,8,1,5,4,3,2]=>0000000=>8
[7,1,9,8,6,5,4,3,2]=>00000000=>9
[6,1,9,8,7,5,4,3,2]=>00000000=>9
[5,4,8,7,6,1,3,2]=>0000000=>8
[5,1,9,8,7,6,4,3,2]=>00000000=>9
[4,1,9,8,7,6,5,3,2]=>00000000=>9
[3,1,9,8,7,6,5,4,2]=>00000000=>9
[10,1,9,8,7,6,5,4,3,2]=>000000000=>10
[9,8,1,7,6,5,4,3,2]=>00000000=>9
[7,6,1,8,5,4,3,2]=>0000000=>8
[8,7,9,1,6,5,4,3,2]=>00000000=>9
[8,1,10,9,7,6,5,4,3,2]=>000000000=>10
[6,5,8,1,7,4,3,2]=>0000000=>8
[7,6,9,8,1,5,4,3,2]=>00000000=>9
[7,1,10,9,8,6,5,4,3,2]=>000000000=>10
[6,5,9,8,7,1,4,3,2]=>00000000=>9
[6,1,10,9,8,7,5,4,3,2]=>000000000=>10
[6,5,8,7,4,1,3,2]=>0000000=>8
[5,4,9,8,7,6,1,3,2]=>00000000=>9
[5,1,10,9,8,7,6,4,3,2]=>000000000=>10
[4,3,9,8,7,6,5,1,2]=>00000000=>9
[4,1,10,9,8,7,6,5,3,2]=>000000000=>10
[3,2,9,8,7,6,5,4,1]=>00000000=>9
[3,1,10,9,8,7,6,5,4,2]=>000000000=>10
[1,6,4,8,3,2,5,7]=>1000000=>1
[1,8,3,5,6,2,4,7]=>1000000=>1
[1,4,8,5,6,2,3,7]=>1000000=>1
[1,2,8,5,3,7,4,6]=>1100000=>1
[6,1,4,8,2,3,5,7]=>0000000=>8
[8,7,2,5,6,1,4,3]=>0000000=>8
[1,8,2,5,4,7,3,6]=>1000000=>1
[5,7,4,1,2,3,8,6]=>0000000=>8
[1,7,4,2,5,3,8,6]=>1000000=>1
[6,7,4,2,1,3,8,5]=>0000000=>8
[6,4,3,8,5,7,1,2]=>0000000=>8
[7,4,3,6,2,1,5,8]=>0000001=>7
[7,2,5,3,4,1,6,8]=>0000001=>7
[8,3,7,4,5,6,1,2]=>0000000=>8
[2,7,4,3,1,5,6,8]=>0000001=>7
[6,8,4,2,3,1,5,7]=>0000000=>8
[3,7,5,2,4,1,6,8]=>0000001=>7
[7,1,3,2,8,4,5,6]=>0000000=>8
[2,1,7,4,8,3,5,6]=>0100000=>2
[5,2,8,6,1,3,4,7]=>0000000=>8
[2,8,3,1,4,5,6,7]=>0000000=>8
[7,4,8,2,3,1,5,6]=>0000000=>8
[4,2,7,3,1,5,6,8]=>0000001=>7
[8,3,7,2,1,4,5,6]=>0000000=>8
[6,5,2,4,7,1,3,8]=>0000001=>7
[6,5,7,4,1,8,2,3]=>0000000=>8
[7,6,4,5,1,8,2,3]=>0000000=>8
[8,6,4,1,3,7,2,5]=>0000000=>8
[6,4,3,1,8,2,5,7]=>0000000=>8
[7,4,1,2,8,3,5,6]=>0000000=>8
[4,8,1,3,5,7,2,6]=>0000000=>8
[7,8,4,1,3,6,2,5]=>0000000=>8
[6,5,8,1,3,7,2,4]=>0000000=>8
[5,3,6,1,8,2,4,7]=>0000000=>8
[4,7,3,1,8,2,5,6]=>0000000=>8
[8,3,1,7,2,4,5,6]=>0000000=>8
[2,8,1,4,7,3,5,6]=>0000000=>8
[3,1,8,5,4,7,6,2]=>0000000=>8
[4,1,5,8,3,7,6,2]=>0000000=>8
[4,1,5,3,8,7,6,2]=>0000000=>8
[4,5,1,8,2,7,6,3]=>0000000=>8
[4,8,5,3,1,7,6,2]=>0000000=>8
[4,5,2,8,1,7,6,3]=>0000000=>8
[4,5,2,1,8,7,6,3]=>0000000=>8
[5,6,2,7,8,1,4,3]=>0000000=>8
[4,6,2,8,7,1,5,3]=>0000000=>8
[4,8,6,3,7,1,5,2]=>0000000=>8
[4,8,6,3,7,5,1,2]=>0000000=>8
[4,6,8,2,7,5,1,3]=>0000000=>8
[4,6,2,8,7,5,1,3]=>0000000=>8
[5,6,2,7,4,1,8,3]=>0000000=>8
[5,6,7,2,3,1,8,4]=>0000000=>8
[5,6,7,2,8,3,1,4]=>0000000=>8
[5,6,7,2,1,8,3,4]=>0000000=>8
[5,6,7,2,1,3,8,4]=>0000000=>8
[5,6,1,7,8,2,4,3]=>0000000=>8
[5,6,1,7,2,4,8,3]=>0000000=>8
[5,1,6,7,8,3,4,2]=>0000000=>8
[4,1,6,8,7,3,5,2]=>0000000=>8
[3,1,8,6,7,5,4,2]=>0000000=>8
[4,1,6,8,7,5,3,2]=>0000000=>8
[5,1,6,7,4,8,3,2]=>0000000=>8
[5,6,1,7,8,4,2,3]=>0000000=>8
[4,6,8,1,7,5,2,3]=>0000000=>8
[4,8,6,1,7,5,3,2]=>0000000=>8
[5,6,7,1,8,3,2,4]=>0000000=>8
[5,6,7,1,3,8,2,4]=>0000000=>8
[5,6,7,1,3,2,8,4]=>0000000=>8
[5,6,7,3,1,2,8,4]=>0000000=>8
[5,6,7,3,8,1,2,4]=>0000000=>8
[5,6,8,7,4,2,1,3]=>0000000=>8
[5,6,7,3,8,2,1,4]=>0000000=>8
[7,4,6,2,3,5,1,8]=>0000001=>7
[1,4,8,6,3,2,5,7]=>1000000=>1
[7,4,1,6,3,8,5,2]=>0000000=>8
[7,6,3,1,5,8,4,2]=>0000000=>8
[6,4,2,5,7,3,1,8]=>0000001=>7
[4,2,5,7,6,3,1,8]=>0000001=>7
[7,4,5,6,1,8,3,2]=>0000000=>8
[4,1,5,8,6,3,2,7]=>0000000=>8
[3,2,7,6,1,8,5,4]=>0000000=>8
[4,7,5,1,6,8,2,3]=>0000000=>8
[8,6,5,1,2,7,4,3]=>0000000=>8
[3,2,5,1,4,8,7,6]=>0000100=>5
[8,5,4,1,3,2,7,6]=>0000000=>8
[1,4,2,3,6,8,7,5]=>1001000=>1
[5,4,8,3,7,1,6,2]=>0000000=>8
[4,7,1,8,2,5,3,6]=>0000000=>8
[6,4,1,8,5,3,7,2]=>0000000=>8
[8,4,6,1,3,5,2,7]=>0000000=>8
[3,2,5,4,7,8,1,6]=>0000000=>8
[5,2,4,3,7,8,1,6]=>0000000=>8
[8,1,6,7,2,5,3,4]=>0000000=>8
[3,1,7,6,5,8,2,4]=>0000000=>8
[1,2,7,5,6,8,3,4]=>1100000=>1
[6,1,4,7,2,8,3,5]=>0000000=>8
[3,2,1,7,6,8,4,5]=>0010000=>3
[3,2,8,6,4,7,1,5]=>0000000=>8
[7,8,4,6,3,2,1,5]=>0000000=>8
[1,8,6,5,3,7,2,4]=>1000000=>1
[8,2,5,3,6,7,1,4]=>0000000=>8
[3,8,5,2,7,6,1,4]=>0000000=>8
[4,7,5,3,1,8,6,2]=>0000000=>8
[4,5,3,6,8,1,7,2]=>0000000=>8
[3,5,2,6,1,8,7,4]=>0000000=>8
[1,6,3,5,7,2,8,4]=>1000000=>1
[1,5,4,6,7,8,2,3]=>1000000=>1
[8,4,6,5,7,2,1,3]=>0000000=>8
[7,4,5,2,6,8,1,3]=>0000000=>8
[5,4,2,6,8,7,1,3]=>0000000=>8
[6,5,1,4,3,2,8,7]=>0000010=>6
[7,5,4,2,3,8,1,6]=>0000000=>8
[1,7,8,3,5,6,2,4]=>1000000=>1
[1,3,7,5,8,2,6,4]=>1000000=>1
[3,1,7,5,8,2,6,4]=>0000000=>8
[3,5,7,1,8,4,6,2]=>0000000=>8
[3,5,7,8,1,4,6,2]=>0000000=>8
[5,3,7,1,8,4,6,2]=>0000000=>8
[5,1,3,7,8,4,2,6]=>0000000=>8
[5,2,8,1,7,3,4,6]=>0000000=>8
[5,8,3,2,7,1,4,6]=>0000000=>8
[2,6,8,3,7,1,4,5]=>0000000=>8
[5,1,8,3,7,2,4,6]=>0000000=>8
[5,1,8,4,6,2,3,7]=>0000000=>8
[3,1,8,4,2,5,6,7]=>0000000=>8
[4,8,5,2,6,1,3,7]=>0000000=>8
[4,1,7,5,6,2,8,3]=>0000000=>8
[5,7,4,3,8,1,6,2]=>0000000=>8
[5,7,4,3,8,2,6,1]=>0000000=>8
[3,8,4,2,6,7,5,1]=>0000000=>8
[3,8,4,1,6,7,5,2]=>0000000=>8
[6,1,7,5,2,8,4,3]=>0000000=>8
[5,6,4,3,2,8,1,7]=>0000000=>8
[2,6,7,5,3,8,4,1]=>0000000=>8
[6,7,4,8,2,5,3,1]=>0000000=>8
[2,1,6,7,5,3,8,4]=>0100000=>2
[3,8,4,2,1,6,7,5]=>0000000=>8
[5,7,4,3,8,2,1,6]=>0000000=>8
[6,7,4,8,1,2,5,3]=>0000000=>8
[6,7,5,8,1,2,4,3]=>0000000=>8
[6,7,4,8,3,1,2,5]=>0000000=>8
[3,4,8,1,2,5,7,6]=>0000000=>8
[6,1,3,4,8,2,5,7]=>0000000=>8
[6,2,3,4,8,1,5,7]=>0000000=>8
[3,4,8,2,1,5,7,6]=>0000000=>8
[6,7,5,8,2,4,3,1]=>0000000=>8
[6,7,5,8,3,1,4,2]=>0000000=>8
[3,4,8,1,5,7,6,2]=>0000000=>8
[2,5,7,6,1,4,8,3]=>0000000=>8
[6,7,4,8,2,3,5,1]=>0000000=>8
[6,7,4,8,1,3,5,2]=>0000000=>8
[2,6,7,5,1,3,8,4]=>0000000=>8
[6,3,1,4,8,2,5,7]=>0000000=>8
[6,7,4,8,1,3,2,5]=>0000000=>8
[6,7,5,8,4,1,3,2]=>0000000=>8
[6,7,4,8,2,1,3,5]=>0000000=>8
[6,7,4,8,1,2,3,5]=>0000000=>8
[1,5,6,3,4,8,2,7]=>1000000=>1
[1,4,3,6,5,8,2,7]=>1000000=>1
[1,8,3,4,7,6,2,5]=>1000000=>1
[3,8,1,7,5,2,6,4]=>0000000=>8
[2,1,3,8,4,6,5,7]=>0110000=>2
[8,3,1,5,7,2,6,4]=>0000000=>8
[1,4,8,5,7,6,2,3]=>1000000=>1
[2,4,8,5,7,3,6,1]=>0000000=>8
[4,2,8,6,7,3,5,1]=>0000000=>8
[3,2,8,7,5,4,6,1]=>0000000=>8
[3,1,8,7,5,6,2,4]=>0000000=>8
[5,1,7,8,6,4,2,3]=>0000000=>8
[7,8,3,2,6,1,4,5]=>0000000=>8
[3,4,8,2,6,1,7,5]=>0000000=>8
[7,8,4,1,5,6,3,2]=>0000000=>8
[7,8,1,4,5,6,3,2]=>0000000=>8
[7,8,1,2,6,3,4,5]=>0000000=>8
[7,8,5,1,4,6,3,2]=>0000000=>8
[7,8,4,5,1,6,3,2]=>0000000=>8
[5,3,8,4,1,6,7,2]=>0000000=>8
[6,2,4,8,1,5,3,7]=>0000000=>8
[3,4,8,5,1,6,7,2]=>0000000=>8
[3,5,8,1,4,6,7,2]=>0000000=>8
[1,4,8,2,6,3,7,5]=>1000000=>1
[5,3,8,1,4,6,7,2]=>0000000=>8
[4,2,6,8,1,5,3,7]=>0000000=>8
[7,4,2,8,1,5,3,6]=>0000000=>8
[6,1,7,5,8,4,3,2]=>0000000=>8
[6,2,1,8,4,5,3,7]=>0000000=>8
[1,2,7,8,5,3,4,6]=>1100000=>1
[6,3,7,8,5,4,1,2]=>0000000=>8
[6,1,5,7,8,4,3,2]=>0000000=>8
[1,7,5,6,8,4,3,2]=>1000000=>1
[3,1,8,4,5,6,7,2]=>0000000=>8
[2,1,4,8,6,5,3,7]=>0100000=>2
[2,4,1,8,6,5,3,7]=>0000000=>8
[4,2,1,8,6,5,3,7]=>0000000=>8
[3,2,7,8,5,1,4,6]=>0000000=>8
[2,3,7,8,5,1,4,6]=>0000000=>8
[2,7,3,8,5,1,4,6]=>0000000=>8
[3,6,2,8,5,1,4,7]=>0000000=>8
[4,1,2,8,7,5,3,6]=>0000000=>8
[1,4,2,8,7,5,3,6]=>1000000=>1
[7,3,6,8,5,4,1,2]=>0000000=>8
[7,2,1,8,5,3,4,6]=>0000000=>8
[1,2,6,8,4,5,3,7]=>1100000=>1
[7,1,6,5,8,4,3,2]=>0000000=>8
[6,5,7,1,8,4,3,2]=>0000000=>8
[5,7,6,1,8,4,3,2]=>0000000=>8
[6,7,1,5,8,4,3,2]=>0000000=>8
[6,7,3,8,5,4,1,2]=>0000000=>8
[7,1,2,8,4,5,3,6]=>0000000=>8
[7,6,1,5,8,4,3,2]=>0000000=>8
[7,5,6,1,8,4,3,2]=>0000000=>8
[9,10,7,8,5,6,2,1,3,4]=>000000000=>10
[9,10,7,8,4,3,5,6,1,2]=>000000000=>10
[9,10,7,8,4,2,5,1,3,6]=>000000000=>10
[9,10,7,8,3,2,1,4,5,6]=>000000000=>10
[9,10,6,5,7,8,3,4,1,2]=>000000000=>10
[9,10,6,5,7,8,2,1,3,4]=>000000000=>10
[9,10,6,4,7,3,5,8,1,2]=>000000000=>10
[9,10,6,4,7,2,5,1,3,8]=>000000000=>10
[9,10,6,3,7,2,1,4,5,8]=>000000000=>10
[9,10,5,4,3,6,7,8,1,2]=>000000000=>10
[9,10,5,4,2,6,7,1,3,8]=>000000000=>10
[9,10,5,3,2,6,1,4,7,8]=>000000000=>10
[9,10,4,3,2,1,5,6,7,8]=>000000000=>10
[8,7,9,10,5,6,3,4,1,2]=>000000000=>10
[8,7,9,10,5,6,2,1,3,4]=>000000000=>10
[8,7,9,10,4,3,5,6,1,2]=>000000000=>10
[8,7,9,10,4,2,5,1,3,6]=>000000000=>10
[8,7,9,10,3,2,1,4,5,6]=>000000000=>10
[8,6,9,5,7,10,3,4,1,2]=>000000000=>10
[8,6,9,5,7,10,2,1,3,4]=>000000000=>10
[8,6,9,4,7,3,5,10,1,2]=>000000000=>10
[8,6,9,3,7,2,1,4,5,10]=>000000001=>9
[8,5,9,4,3,6,7,10,1,2]=>000000000=>10
[8,5,9,4,2,6,7,1,3,10]=>000000001=>9
[8,5,9,3,2,6,1,4,7,10]=>000000001=>9
[8,4,9,3,2,1,5,6,7,10]=>000000001=>9
[7,6,5,8,9,10,3,4,1,2]=>000000000=>10
[7,6,5,8,9,10,2,1,3,4]=>000000000=>10
[7,6,4,8,9,3,5,10,1,2]=>000000000=>10
[7,6,4,8,9,2,5,1,3,10]=>000000001=>9
[7,6,3,8,9,2,1,4,5,10]=>000000001=>9
[7,5,4,8,3,6,9,10,1,2]=>000000000=>10
[7,5,4,8,2,6,9,1,3,10]=>000000001=>9
[7,4,3,8,2,1,5,6,9,10]=>000000011=>8
[6,5,4,3,7,8,9,10,1,2]=>000000000=>10
[6,5,4,2,7,8,9,1,3,10]=>000000001=>9
[6,5,3,2,7,8,1,4,9,10]=>000000011=>8
[10,8,11,6,9,4,7,2,5,1,3,12]=>00000000001=>11
[10,8,11,6,9,3,7,2,1,4,5,12]=>00000000001=>11
[10,8,11,5,9,4,2,6,7,1,3,12]=>00000000001=>11
[10,8,11,5,9,3,2,6,1,4,7,12]=>00000000001=>11
[10,8,11,4,9,3,2,1,5,6,7,12]=>00000000001=>11
[10,7,11,6,4,8,9,2,5,1,3,12]=>00000000001=>11
[10,7,11,6,3,8,9,2,1,4,5,12]=>00000000001=>11
[10,7,11,5,4,8,2,6,9,1,3,12]=>00000000001=>11
[10,7,11,5,3,8,2,6,1,4,9,12]=>00000000001=>11
[10,7,11,4,3,8,2,1,5,6,9,12]=>00000000001=>11
[10,6,11,5,4,2,7,8,9,1,3,12]=>00000000001=>11
[10,6,11,5,3,2,7,8,1,4,9,12]=>00000000001=>11
[10,6,11,4,3,2,7,1,5,8,9,12]=>00000000001=>11
[10,5,11,4,3,2,1,6,7,8,9,12]=>00000000001=>11
[9,8,6,10,11,4,7,2,5,1,3,12]=>00000000001=>11
[9,8,6,10,11,3,7,2,1,4,5,12]=>00000000001=>11
[9,8,5,10,11,4,2,6,7,1,3,12]=>00000000001=>11
[9,8,5,10,11,3,2,6,1,4,7,12]=>00000000001=>11
[9,8,4,10,11,3,2,1,5,6,7,12]=>00000000001=>11
[9,7,6,10,4,8,11,2,5,1,3,12]=>00000000001=>11
[9,7,6,10,3,8,11,2,1,4,5,12]=>00000000001=>11
[9,7,5,10,4,8,2,6,11,1,3,12]=>00000000001=>11
[9,6,5,10,4,2,7,8,11,1,3,12]=>00000000001=>11
[8,7,6,4,9,10,11,2,5,1,3,12]=>00000000001=>11
[8,7,6,3,9,10,11,2,1,4,5,12]=>00000000001=>11
[8,7,5,4,9,10,2,6,11,1,3,12]=>00000000001=>11
[8,6,5,4,9,2,7,10,11,1,3,12]=>00000000001=>11
[7,6,5,4,2,8,9,10,11,1,3,12]=>00000000001=>11
[1,8,7,5,3,2,4,6]=>1000000=>1
[1,8,7,4,2,5,3,6]=>1000000=>1
[5,3,7,1,6,4,2,8]=>0000001=>7
[1,5,3,8,7,4,2,6]=>1000000=>1
[1,8,6,3,5,7,4,2]=>1000000=>1
[6,3,8,5,2,1,7,4]=>0000000=>8
[6,3,7,4,1,8,5,2]=>0000000=>8
[6,1,8,7,4,2,5,3]=>0000000=>8
[1,8,6,3,2,4,7,5]=>1000000=>1
[4,3,2,8,7,6,1,5]=>0000000=>8
[1,7,5,8,6,3,2,4]=>1000000=>1
[1,7,4,2,5,8,6,3]=>1000000=>1
[8,6,3,1,7,4,2,5]=>0000000=>8
[8,7,4,2,5,3,1,6]=>0000000=>8
[1,8,5,2,7,4,6,3]=>1000000=>1
[7,4,8,5,2,1,6,3]=>0000000=>8
[1,7,4,6,3,8,5,2]=>1000000=>1
[4,1,8,5,7,3,2,6]=>0000000=>8
[2,1,5,7,8,4,3,6]=>0100000=>2
[5,1,7,4,8,3,2,6]=>0000000=>8
[4,7,2,8,3,6,1,5]=>0000000=>8
[1,3,2,7,6,5,10,9,8,4]=>101000000=>1
[1,4,3,6,5,2,10,9,8,7]=>100001000=>1
[1,4,3,7,6,2,10,9,8,5]=>100000000=>1
[1,5,4,7,6,3,10,9,8,2]=>100000000=>1
[1,4,3,8,7,2,10,9,6,5]=>100000000=>1
[1,5,4,8,7,3,10,9,6,2]=>100000000=>1
[2,3,1,6,5,4,10,9,8,7]=>001001000=>3
[2,3,1,7,6,5,10,9,8,4]=>001000000=>3
[2,4,1,6,5,3,10,9,8,7]=>000001000=>6
[2,4,1,7,6,3,10,9,8,5]=>000000000=>10
[2,5,1,7,6,4,10,9,8,3]=>000000000=>10
[2,4,1,8,7,3,10,9,6,5]=>000000000=>10
[2,5,1,8,7,4,10,9,6,3]=>000000000=>10
[3,4,2,6,5,1,10,9,8,7]=>000001000=>6
[3,4,2,7,6,1,10,9,8,5]=>000000000=>10
[3,5,2,7,6,1,10,9,8,4]=>000000000=>10
[4,5,3,7,6,2,10,9,8,1]=>000000000=>10
[3,4,2,8,7,1,10,9,6,5]=>000000000=>10
[3,5,2,8,7,1,10,9,6,4]=>000000000=>10
[4,5,3,8,7,2,10,9,6,1]=>000000000=>10
[2,5,1,6,4,3,10,9,8,7]=>000001000=>6
[2,5,1,7,4,3,10,9,8,6]=>000000000=>10
[2,6,1,7,5,4,10,9,8,3]=>000000000=>10
[2,5,1,8,4,3,10,9,7,6]=>000000000=>10
[2,6,1,8,5,4,10,9,7,3]=>000000000=>10
[3,5,2,6,4,1,10,9,8,7]=>000001000=>6
[3,5,2,7,4,1,10,9,8,6]=>000000000=>10
[3,6,2,7,5,1,10,9,8,4]=>000000000=>10
[4,6,3,7,5,2,10,9,8,1]=>000000000=>10
[3,5,2,8,4,1,10,9,7,6]=>000000000=>10
[3,6,2,8,5,1,10,9,7,4]=>000000000=>10
[4,6,3,8,5,2,10,9,7,1]=>000000000=>10
[3,7,2,8,6,1,10,9,5,4]=>000000000=>10
[4,7,3,8,6,2,10,9,5,1]=>000000000=>10
[2,5,1,9,4,3,10,8,7,6]=>000000000=>10
[2,6,1,9,5,4,10,8,7,3]=>000000000=>10
[3,5,2,9,4,1,10,8,7,6]=>000000000=>10
[3,6,2,9,5,1,10,8,7,4]=>000000000=>10
[4,6,3,9,5,2,10,8,7,1]=>000000000=>10
[3,7,2,9,6,1,10,8,5,4]=>000000000=>10
[6,2,8,4,1,7,3,5]=>0000000=>8
[1,8,5,4,2,3,7,6]=>1000000=>1
[3,5,4,8,1,2,7,6]=>0000000=>8
[5,6,3,8,7,1,2,4]=>0000000=>8
[2,6,8,4,1,7,3,5]=>0000000=>8
[1,8,7,4,2,6,3,5]=>1000000=>1
[6,3,5,8,7,1,2,4]=>0000000=>8
[5,2,8,6,7,1,3,4]=>0000000=>8
[6,2,8,7,5,1,3,4]=>0000000=>8
[1,8,5,7,6,2,3,4]=>1000000=>1
[3,6,7,8,5,1,2,4]=>0000000=>8
[1,8,6,7,5,2,3,4]=>1000000=>1
[5,4,2,7,6,8,1,3]=>0000000=>8
[4,2,1,8,7,3,5,6]=>0000000=>8
[5,1,6,3,2,8,7,4]=>0000000=>8
[4,3,5,2,8,7,1,6]=>0000000=>8
[2,8,6,1,7,3,5,4]=>0000000=>8
[3,7,5,1,6,8,2,4]=>0000000=>8
[3,6,7,4,1,8,2,5]=>0000000=>8
[2,7,1,6,5,4,8,3]=>0000000=>8
[7,3,2,6,1,8,5,4]=>0000000=>8
[8,4,1,6,3,2,5,7]=>0000000=>8
[4,7,3,8,5,2,1,6]=>0000000=>8
[4,7,5,1,8,6,3,2]=>0000000=>8
[6,1,5,7,3,8,4,2]=>0000000=>8
[7,2,6,5,8,4,1,3]=>0000000=>8
[2,5,8,1,6,4,7,3]=>0000000=>8
[3,6,5,8,4,1,7,2]=>0000000=>8
[5,7,3,1,6,4,8,2]=>0000000=>8
[8,7,2,5,4,1,3,6]=>0000000=>8
[8,7,2,5,3,1,4,6]=>0000000=>8
[5,2,8,7,1,4,3,6]=>0000000=>8
[8,1,6,2,7,5,3,4]=>0000000=>8
[6,3,4,1,7,2,8,5]=>0000000=>8
[5,1,7,4,3,8,2,6]=>0000000=>8
[6,1,7,3,2,8,5,4]=>0000000=>8
[4,7,2,1,6,3,8,5]=>0000000=>8
[6,2,1,5,3,8,4,7]=>0000000=>8
[8,5,1,3,7,4,2,6]=>0000000=>8
[6,1,8,3,7,5,2,4]=>0000000=>8
[7,4,1,5,8,3,2,6]=>0000000=>8
[6,1,8,4,5,2,7,3]=>0000000=>8
[3,5,2,7,1,6,8,4]=>0000000=>8
[6,1,3,7,4,8,5,2]=>0000000=>8
[3,2,1,7,4,8,5,6]=>0010000=>3
[4,1,5,2,7,6,3,8]=>0000001=>7
[2,5,1,3,7,6,4,8]=>0000001=>7
[2,5,1,4,3,8,6,7]=>0000100=>5
[3,7,2,1,5,8,6,4]=>0000000=>8
[6,2,7,1,4,8,5,3]=>0000000=>8
[3,7,4,2,1,8,5,6]=>0000000=>8
[7,2,5,3,1,8,6,4]=>0000000=>8
[7,5,1,4,2,8,6,3]=>0000000=>8
[7,5,4,1,3,8,6,2]=>0000000=>8
[5,3,2,1,7,6,4,8]=>0000001=>7
[6,3,2,8,1,5,7,4]=>0000000=>8
[7,4,3,2,8,1,6,5]=>0000000=>8
[7,6,2,4,8,3,5,1]=>0000000=>8
[7,3,6,4,8,1,5,2]=>0000000=>8
[2,7,5,3,8,1,4,6]=>0000000=>8
[1,8,5,3,6,4,2,7]=>1000000=>1
[8,6,2,3,7,5,4,1]=>0000000=>8
[8,6,3,2,7,5,4,1]=>0000000=>8
[8,3,2,7,1,6,4,5]=>0000000=>8
[7,2,6,1,5,4,3,8]=>0000001=>7
[8,5,7,4,3,6,2,1]=>0000000=>8
[8,5,7,2,4,6,3,1]=>0000000=>8
[8,4,6,7,1,3,2,5]=>0000000=>8
[2,8,5,6,1,4,3,7]=>0000000=>8
[7,2,6,8,4,1,5,3]=>0000000=>8
[7,6,4,8,3,2,5,1]=>0000000=>8
[6,5,8,1,4,2,7,3]=>0000000=>8
[6,5,8,4,1,3,7,2]=>0000000=>8
[5,4,8,3,2,1,7,6]=>0000000=>8
[4,3,7,2,1,6,5,8]=>0000001=>7
[2,5,8,1,4,3,7,6]=>0000000=>8
[3,6,8,2,1,5,7,4]=>0000000=>8
[5,7,4,8,1,3,6,2]=>0000000=>8
[5,7,1,4,8,2,6,3]=>0000000=>8
[2,7,4,1,8,3,6,5]=>0000000=>8
[3,5,1,8,4,2,7,6]=>0000000=>8
[4,1,5,7,3,6,2,8]=>0000001=>7
[4,2,5,8,3,1,7,6]=>0000000=>8
[6,1,2,7,8,3,5,4]=>0000000=>8
[5,3,1,8,6,4,2,7]=>0000000=>8
[3,1,8,4,7,5,2,6]=>0000000=>8
[4,2,8,7,3,5,1,6]=>0000000=>8
[4,8,1,7,6,2,3,5]=>0000000=>8
[6,8,1,4,7,5,2,3]=>0000000=>8
[7,3,8,1,6,4,2,5]=>0000000=>8
[4,7,8,1,5,3,2,6]=>0000000=>8
[7,1,8,6,2,5,3,4]=>0000000=>8
[5,8,7,1,3,6,4,2]=>0000000=>8
[3,8,7,2,1,6,4,5]=>0000000=>8
[2,8,7,1,6,3,5,4]=>0000000=>8
[3,7,6,1,5,4,2,8]=>0000001=>7
[4,8,7,6,1,3,5,2]=>0000000=>8
[5,8,7,2,6,1,4,3]=>0000000=>8
[6,8,1,7,5,2,4,3]=>0000000=>8
[7,3,8,6,5,1,2,4]=>0000000=>8
[5,7,8,4,3,1,2,6]=>0000000=>8
[5,8,6,4,3,2,1,7]=>0000000=>8
[8,7,3,6,4,2,1,5]=>0000000=>8
[6,1,4,2,5,3,7,8]=>0000011=>6
[1,3,7,5,4,2,8,6]=>1000000=>1
[6,1,3,5,4,2,7,8]=>0000011=>6
[6,1,2,5,4,7,3,8]=>0000001=>7
[5,1,6,3,4,7,8,2]=>0000000=>8
[5,2,6,3,4,7,1,8]=>0000001=>7
[3,4,7,5,8,6,1,2]=>0000000=>8
[2,4,7,1,5,3,8,6]=>0000000=>8
[2,3,6,7,4,8,1,5]=>0000000=>8
[1,3,6,7,4,8,5,2]=>1000000=>1
[2,7,6,5,3,1,8,4]=>0000000=>8
[5,2,6,1,4,7,8,3]=>0000000=>8
[4,7,6,5,2,1,8,3]=>0000000=>8
[5,3,6,2,4,1,7,8]=>0000011=>6
[5,7,4,2,1,3,6,8]=>0000001=>7
[6,3,1,5,4,7,8,2]=>0000000=>8
[5,3,6,1,4,2,7,8]=>0000011=>6
[1,7,4,2,6,3,8,5]=>1000000=>1
[5,7,4,1,2,3,6,8]=>0000001=>7
[6,4,1,2,5,3,7,8]=>0000011=>6
[4,7,6,3,8,5,1,2]=>0000000=>8
[3,7,6,5,2,8,1,4]=>0000000=>8
[3,7,6,5,1,2,8,4]=>0000000=>8
[4,7,2,6,1,3,8,5]=>0000000=>8
[2,7,1,6,8,3,5,4]=>0000000=>8
[2,7,6,5,8,1,4,3]=>0000000=>8
[2,3,4,5,6,9,7,8,1]=>00000000=>9
[2,3,4,5,6,7,8,10,9,1]=>000000000=>10
[9,2,1,8,7,6,5,4,3]=>00000000=>9
[2,11,10,9,8,7,6,5,4,3,1]=>0000000000=>11
[3,2,10,9,8,7,6,5,4,1]=>000000000=>10
[3,9,2,8,7,6,5,4,1]=>00000000=>9
[4,2,9,8,7,6,5,3,1]=>00000000=>9
[5,2,8,7,6,4,3,1]=>0000000=>8
[8,2,7,6,1,5,4,3]=>0000000=>8
[9,2,8,1,7,6,5,4,3]=>00000000=>9
[8,4,1,7,6,5,3,2]=>0000000=>8
[9,3,1,8,7,6,5,4,2]=>00000000=>9
[10,2,1,9,8,7,6,5,4,3]=>000000000=>10
[11,1,10,9,8,7,6,5,4,3,2]=>0000000000=>11
[4,5,6,2,3,8,1,7]=>0000000=>8
[3,2,7,4,5,8,1,6]=>0000000=>8
[6,3,4,7,8,2,5,1]=>0000000=>8
[5,3,7,4,8,6,1,2]=>0000000=>8
[5,4,3,1,7,8,2,6]=>0000000=>8
[5,7,6,2,8,4,1,3]=>0000000=>8
[6,8,5,1,7,2,4,3]=>0000000=>8
[8,1,7,4,2,3,6,5]=>0000000=>8
[2,8,3,1,6,7,5,4]=>0000000=>8
[3,8,4,1,2,7,6,5]=>0000000=>8
[6,4,1,3,2,7,8,5]=>0000000=>8
[6,5,7,3,8,2,1,4]=>0000000=>8
[8,1,4,7,2,5,6,3]=>0000000=>8
[4,2,6,8,3,1,5,7]=>0000000=>8
[3,7,6,2,4,5,1,8]=>0000001=>7
[2,3,6,5,8,1,4,7]=>0000000=>8
[2,3,5,8,6,1,4,7]=>0000000=>8
[4,2,3,8,6,1,5,7]=>0000000=>8
[6,4,1,2,8,3,5,7]=>0000000=>8
[1,2,3,7,4,6,8,5]=>1110000=>1
[3,2,7,1,4,5,8,6]=>0000000=>8
[2,1,5,3,8,7,4,6]=>0100000=>2
[5,8,3,2,4,1,6,7]=>0000000=>8
[4,2,7,1,8,3,5,6]=>0000000=>8
[4,1,8,2,7,3,5,6]=>0000000=>8
[1,2,7,5,3,8,4,6]=>1100000=>1
[3,2,7,1,4,8,5,6]=>0000000=>8
[1,2,3,7,6,8,4,5]=>1110000=>1
[1,2,3,6,8,7,4,5]=>1110000=>1
[1,2,3,7,8,4,6,5]=>1110000=>1
[1,2,3,6,8,4,7,5]=>1110000=>1
[1,2,3,7,8,6,4,5]=>1110000=>1
[6,2,8,3,7,5,1,4]=>0000000=>8
[4,2,8,3,7,5,6,1]=>0000000=>8
[7,3,4,8,6,5,1,2]=>0000000=>8
[5,3,4,8,7,2,6,1]=>0000000=>8
[4,3,5,8,7,2,6,1]=>0000000=>8
[4,6,3,8,5,7,2,1]=>0000000=>8
[7,5,3,8,6,2,4,1]=>0000000=>8
[2,6,8,3,7,4,5,1]=>0000000=>8
[1,8,4,3,7,5,6,2]=>1000000=>1
[2,5,8,3,7,4,6,1]=>0000000=>8
[7,4,3,8,6,2,5,1]=>0000000=>8
[3,5,4,8,7,2,6,1]=>0000000=>8
[4,5,3,8,6,7,2,1]=>0000000=>8
[3,6,7,8,4,5,2,1]=>0000000=>8
[2,6,8,5,4,7,3,1]=>0000000=>8
[1,8,5,6,4,7,3,2]=>1000000=>1
[2,5,8,6,4,7,3,1]=>0000000=>8
[7,4,6,5,8,3,2,1]=>0000000=>8
[6,3,7,8,4,5,2,1]=>0000000=>8
[4,3,7,8,5,6,2,1]=>0000000=>8
[5,2,8,6,4,7,3,1]=>0000000=>8
[4,2,8,6,5,7,3,1]=>0000000=>8
[3,2,8,6,7,4,5,1]=>0000000=>8
[2,3,8,7,5,4,6,1]=>0000000=>8
[1,8,2,7,4,5,6,3]=>1000000=>1
[7,2,8,6,3,4,5,1]=>0000000=>8
[6,2,8,4,5,7,3,1]=>0000000=>8
[5,2,8,4,6,7,3,1]=>0000000=>8
[4,2,8,5,6,7,3,1]=>0000000=>8
[4,3,6,8,5,7,2,1]=>0000000=>8
[3,4,6,8,7,2,5,1]=>0000000=>8
[7,3,5,8,6,2,4,1]=>0000000=>8
[1,8,3,5,7,4,6,2]=>1000000=>1
[2,7,8,4,5,6,3,1]=>0000000=>8
[3,7,5,8,4,6,2,1]=>0000000=>8
[5,7,4,6,8,3,2,1]=>0000000=>8
[3,6,5,8,4,7,2,1]=>0000000=>8
[2,6,8,4,5,7,3,1]=>0000000=>8
[4,2,7,1,3,8,5,6]=>0000000=>8
[4,2,5,1,3,8,6,7]=>0000100=>5
[5,3,6,1,7,2,4,8]=>0000001=>7
[3,7,1,2,5,8,6,4]=>0000000=>8
[3,7,4,1,2,8,5,6]=>0000000=>8
[7,5,1,3,4,8,6,2]=>0000000=>8
[7,5,1,2,4,8,6,3]=>0000000=>8
[6,4,2,3,7,1,5,8]=>0000001=>7
[7,6,3,8,1,2,5,4]=>0000000=>8
[7,4,2,3,8,1,6,5]=>0000000=>8
[4,7,5,2,8,1,3,6]=>0000000=>8
[8,2,6,3,7,1,4,5]=>0000000=>8
[8,6,1,2,7,4,5,3]=>0000000=>8
[8,4,7,1,2,3,6,5]=>0000000=>8
[8,5,7,1,2,4,6,3]=>0000000=>8
[8,5,7,1,3,4,6,2]=>0000000=>8
[8,6,2,7,1,3,5,4]=>0000000=>8
[3,8,5,6,1,2,4,7]=>0000000=>8
[3,7,5,8,1,2,4,6]=>0000000=>8
[7,6,4,8,1,3,5,2]=>0000000=>8
[6,5,8,1,2,4,7,3]=>0000000=>8
[3,6,8,1,2,5,7,4]=>0000000=>8
[3,7,2,4,8,1,6,5]=>0000000=>8
[4,6,3,8,1,2,5,7]=>0000000=>8
[4,6,3,7,1,2,5,8]=>0000001=>7
[4,1,7,8,2,3,6,5]=>0000000=>8
[5,1,2,8,6,3,4,7]=>0000000=>8
[5,3,8,1,6,2,4,7]=>0000000=>8
[6,1,8,5,2,3,4,7]=>0000000=>8
[6,1,7,5,2,3,4,8]=>0000001=>7
[6,8,1,3,7,4,5,2]=>0000000=>8
[7,2,8,1,6,3,4,5]=>0000000=>8
[4,7,8,2,5,1,3,6]=>0000000=>8
[6,8,2,7,1,4,5,3]=>0000000=>8
[4,8,7,1,3,5,6,2]=>0000000=>8
[3,8,7,1,2,4,6,5]=>0000000=>8
[4,8,7,1,2,3,6,5]=>0000000=>8
[5,8,7,1,2,4,6,3]=>0000000=>8
[5,8,7,1,3,4,6,2]=>0000000=>8
[7,1,8,6,2,3,5,4]=>0000000=>8
[5,8,6,4,1,2,3,7]=>0000000=>8
[7,8,4,1,2,5,3,6]=>0000000=>8
[7,8,1,2,6,5,3,4]=>0000000=>8
[1,4,8,2,7,5,3,6]=>1000000=>1
[6,1,3,4,7,2,5,8]=>0000001=>7
[7,8,2,1,6,3,5,4]=>0000000=>8
[6,1,2,7,5,4,3,8]=>0000001=>7
[1,2,8,7,5,4,3,6]=>1100000=>1
[5,1,7,3,6,4,8,2]=>0000000=>8
[6,2,1,5,7,4,3,8]=>0000001=>7
[6,2,3,7,4,1,5,8]=>0000001=>7
[3,4,8,7,5,6,1,2]=>0000000=>8
[2,3,8,7,4,1,5,6]=>0000000=>8
[2,7,3,8,6,4,1,5]=>0000000=>8
[1,8,3,7,6,4,5,2]=>1000000=>1
[5,2,7,1,4,6,8,3]=>0000000=>8
[4,6,7,5,2,1,8,3]=>0000000=>8
[6,3,1,4,5,7,8,2]=>0000000=>8
[5,3,1,4,6,2,7,8]=>0000011=>6
[5,1,2,4,7,6,8,3]=>0000000=>8
[5,7,4,1,2,6,3,8]=>0000001=>7
[4,8,1,2,6,7,3,5]=>0000000=>8
[4,1,7,8,2,6,3,5]=>0000000=>8
[1,2,8,7,6,5,3,4]=>1100000=>1
[3,1,2,4,6,8,7,5]=>0011000=>3
[3,1,8,4,5,7,6,2]=>0000000=>8
[3,2,8,5,4,7,1,6]=>0000000=>8
[4,2,8,1,5,3,7,6]=>0000000=>8
[4,3,8,5,7,6,1,2]=>0000000=>8
[4,8,2,1,6,3,7,5]=>0000000=>8
[3,8,6,5,2,7,1,4]=>0000000=>8
[3,8,5,6,1,7,4,2]=>0000000=>8
[3,5,7,8,1,2,6,4]=>0000000=>8
[3,7,8,5,2,1,6,4]=>0000000=>8
[3,7,2,8,4,1,6,5]=>0000000=>8
[2,8,1,7,4,6,5,3]=>0000000=>8
[2,8,7,5,1,6,4,3]=>0000000=>8
[2,8,6,7,5,1,4,3]=>0000000=>8
[5,1,3,4,6,7,2,8]=>0000001=>7
[1,3,4,8,7,5,2,6]=>1000000=>1
[8,2,4,1,7,3,5,6]=>0000000=>8
[8,6,1,4,2,3,7,5]=>0000000=>8
[3,6,1,4,2,8,7,5]=>0000000=>8
[1,6,8,4,3,7,2,5]=>1000000=>1
[3,1,4,7,8,5,2,6]=>0000000=>8
[6,1,7,4,3,8,2,5]=>0000000=>8
[1,8,7,4,3,6,2,5]=>1000000=>1
[7,4,1,3,8,2,6,5]=>0000000=>8
[4,8,2,3,1,5,7,6]=>0000000=>8
[4,8,6,2,1,3,7,5]=>0000000=>8
[2,7,4,1,8,3,5,6]=>0000000=>8
[1,7,8,4,2,3,6,5]=>1000000=>1
[4,7,1,3,8,2,6,5]=>0000000=>8
[8,7,1,3,4,2,6,5]=>0000000=>8
[1,7,4,3,6,2,8,5]=>1000000=>1
[3,8,6,4,5,2,1,7]=>0000000=>8
[3,8,4,6,5,2,1,7]=>0000000=>8
[2,4,3,7,5,8,1,6]=>0000000=>8
[1,4,7,3,6,2,8,5]=>1000000=>1
[1,8,3,4,2,6,7,5]=>1000000=>1
[6,4,1,3,7,2,8,5]=>0000000=>8
[8,1,4,3,6,2,7,5]=>0000000=>8
[4,2,3,8,5,7,1,6]=>0000000=>8
[2,8,5,7,3,4,1,6]=>0000000=>8
[5,8,2,6,4,3,1,7]=>0000000=>8
[7,2,5,8,4,3,1,6]=>0000000=>8
[4,2,3,5,8,7,1,6]=>0000000=>8
[8,2,3,5,4,7,1,6]=>0000000=>8
[6,1,8,3,4,2,7,5]=>0000000=>8
[1,8,6,4,2,3,7,5]=>1000000=>1
[3,8,4,5,6,2,1,7]=>0000000=>8
[2,4,3,5,7,8,1,6]=>0000000=>8
[3,8,6,5,4,2,1,7]=>0000000=>8
[6,3,1,4,2,8,7,5]=>0000000=>8
[7,3,8,1,2,6,4,5]=>0000000=>8
[7,1,4,5,3,2,6,8]=>0000001=>7
[1,8,4,2,6,5,3,7]=>1000000=>1
[5,1,4,8,6,3,2,7]=>0000000=>8
[5,3,1,8,4,7,2,6]=>0000000=>8
[4,3,8,1,5,7,2,6]=>0000000=>8
[6,3,1,2,5,7,4,8]=>0000001=>7
[7,1,4,2,6,5,3,8]=>0000001=>7
[3,8,4,1,6,5,2,7]=>0000000=>8
[7,3,6,4,5,8,2,1]=>0000000=>8
[8,7,2,4,5,1,6,3]=>0000000=>8
[7,1,5,4,8,6,3,2]=>0000000=>8
[5,7,1,4,8,6,3,2]=>0000000=>8
[6,5,3,7,4,8,2,1]=>0000000=>8
[7,5,8,4,1,6,3,2]=>0000000=>8
[2,7,8,4,5,1,6,3]=>0000000=>8
[5,7,3,8,4,1,6,2]=>0000000=>8
[5,6,3,8,1,4,7,2]=>0000000=>8
[3,7,8,4,1,6,5,2]=>0000000=>8
[8,7,3,1,5,4,2,6]=>0000000=>8
[6,8,2,7,4,3,1,5]=>0000000=>8
[6,8,2,3,7,5,1,4]=>0000000=>8
[5,2,7,3,8,6,1,4]=>0000000=>8
[4,8,3,2,1,7,6,5]=>0000000=>8
[6,8,3,7,2,1,5,4]=>0000000=>8
[2,7,6,3,8,1,4,5]=>0000000=>8
[2,1,5,4,8,7,3,6]=>0100000=>2
[3,2,8,7,5,4,1,6]=>0000000=>8
[5,4,2,6,3,1,8,7]=>0000010=>6
[7,6,2,3,4,8,5,1]=>0000000=>8
[2,1,8,7,4,3,5,6]=>0100000=>2
[3,8,7,4,2,1,5,6]=>0000000=>8
[8,5,2,6,1,7,3,4]=>0000000=>8
[5,4,2,6,8,3,7,1]=>0000000=>8
[8,1,2,4,3,5,6,7]=>0000000=>8
[2,3,4,6,5,7,8,9,10,1]=>000000000=>10
[2,3,5,6,4,7,8,9,1]=>00000000=>9
[2,3,6,4,5,7,8,9,1]=>00000000=>9
[9,1,2,4,5,3,6,7,8]=>00000000=>9
[10,1,2,3,5,4,6,7,8,9]=>000000000=>10
[5,8,7,4,6,3,2,1]=>0000000=>8
[4,8,7,6,3,5,2,1]=>0000000=>8
[3,8,7,6,5,2,4,1]=>0000000=>8
[7,9,6,8,5,4,3,2,1]=>00000000=>9
[5,8,4,7,6,3,2,1]=>0000000=>8
[6,9,8,5,7,4,3,2,1]=>00000000=>9
[6,8,5,4,7,3,2,1]=>0000000=>8
[5,9,8,7,4,6,3,2,1]=>00000000=>9
[3,8,7,6,2,5,4,1]=>0000000=>8
[4,9,8,7,6,3,5,2,1]=>00000000=>9
[4,8,7,6,3,2,5,1]=>0000000=>8
[3,9,8,7,6,5,2,4,1]=>00000000=>9
[3,8,7,6,5,2,1,4]=>0000000=>8
[8,6,9,7,4,5,2,3,1]=>00000000=>9
[8,6,9,4,7,5,2,3,1]=>00000000=>9
[8,6,9,4,7,2,5,3,1]=>00000000=>9
[8,6,9,4,7,3,5,1,2]=>00000000=>9
[8,6,9,5,7,3,4,1,2]=>00000000=>9
[8,7,9,5,6,3,4,1,2]=>00000000=>9
[9,7,10,8,5,6,3,4,1,2]=>000000000=>10
[8,6,4,9,7,5,2,3,1]=>00000000=>9
[9,7,10,5,8,6,3,4,1,2]=>000000000=>10
[8,6,9,4,2,7,5,3,1]=>00000000=>9
[9,7,10,5,8,3,6,4,1,2]=>000000000=>10
[8,6,9,4,7,2,1,5,3]=>00000000=>9
[7,5,8,4,6,3,1,2]=>0000000=>8
[8,6,9,4,7,3,5,2,1]=>00000000=>9
[9,7,10,5,8,3,6,2,4,1]=>000000000=>10
[8,6,9,5,7,2,4,1,3]=>00000000=>9
[9,7,10,5,8,4,6,2,3,1]=>000000000=>10
[7,6,8,2,5,1,4,3]=>0000000=>8
[8,7,9,4,6,3,5,1,2]=>00000000=>9
[9,7,10,6,8,4,5,2,3,1]=>000000000=>10
[9,6,8,5,7,3,4,1,2]=>00000000=>9
[9,8,10,6,7,4,5,2,3,1]=>000000000=>10
[3,5,2,4,7,6,1,8]=>0000001=>7
[3,5,4,7,2,6,1,8]=>0000001=>7
[3,5,4,7,6,1,2,8]=>0000001=>7
[3,5,4,7,6,1,8,2]=>0000000=>8
[3,5,7,4,6,1,8,2]=>0000000=>8
[3,5,7,4,6,1,2,8]=>0000001=>7
[3,5,7,4,6,2,1,8]=>0000001=>7
[3,2,5,7,4,6,1,8]=>0000001=>7
[3,5,2,7,6,4,1,8]=>0000001=>7
[3,5,7,2,6,4,1,8]=>0000001=>7
[5,3,7,6,2,4,1,8]=>0000001=>7
[5,3,7,6,1,2,8,4]=>0000000=>8
[5,3,7,6,1,4,2,8]=>0000001=>7
[5,3,7,6,4,1,2,8]=>0000001=>7
[3,5,7,2,6,1,4,8]=>0000001=>7
[3,5,2,7,6,1,4,8]=>0000001=>7
[5,3,7,6,4,1,8,2]=>0000000=>8
[3,7,5,4,1,8,2,6]=>0000000=>8
[3,7,5,4,1,8,6,2]=>0000000=>8
[3,7,5,1,4,8,6,2]=>0000000=>8
[3,7,5,1,4,8,2,6]=>0000000=>8
[3,5,7,1,2,6,8,4]=>0000000=>8
[3,5,7,2,1,6,8,4]=>0000000=>8
[3,5,2,7,1,6,4,8]=>0000001=>7
[3,5,7,2,1,6,4,8]=>0000001=>7
[5,3,7,1,6,2,4,8]=>0000001=>7
[3,5,7,1,4,6,8,2]=>0000000=>8
[3,5,7,1,4,6,2,8]=>0000001=>7
[3,5,7,1,4,2,6,8]=>0000001=>7
[3,5,7,2,1,4,6,8]=>0000001=>7
[3,5,2,7,1,4,6,8]=>0000001=>7
[3,2,5,7,4,1,6,8]=>0000001=>7
[3,5,2,7,4,1,6,8]=>0000001=>7
[3,5,7,4,2,1,6,8]=>0000001=>7
[3,5,7,4,1,2,6,8]=>0000001=>7
[3,5,4,7,1,6,8,2]=>0000000=>8
[3,5,4,7,1,2,6,8]=>0000001=>7
[3,5,4,7,2,1,6,8]=>0000001=>7
[3,5,4,2,7,1,6,8]=>0000001=>7
[3,2,5,4,7,1,6,8]=>0000001=>7
[3,5,4,7,2,1,8,6]=>0000000=>8
[3,5,4,7,1,2,8,6]=>0000000=>8
[5,7,6,3,1,8,4,2]=>0000000=>8
[5,7,6,3,1,8,2,4]=>0000000=>8
[3,5,7,4,1,2,8,6]=>0000000=>8
[3,5,7,4,2,1,8,6]=>0000000=>8
[3,2,5,7,4,1,8,6]=>0000000=>8
[3,2,5,7,1,4,8,6]=>0000000=>8
[3,5,2,7,1,4,8,6]=>0000000=>8
[3,5,7,2,1,4,8,6]=>0000000=>8
[3,5,7,1,4,2,8,6]=>0000000=>8
[3,7,5,2,1,8,6,4]=>0000000=>8
[3,7,2,5,1,8,6,4]=>0000000=>8
[3,2,7,5,1,8,6,4]=>0000000=>8
[3,2,7,5,1,8,4,6]=>0000000=>8
[3,7,2,5,1,8,4,6]=>0000000=>8
[3,7,5,2,1,8,4,6]=>0000000=>8
[2,1,7,5,8,4,6,3]=>0100000=>2
[1,3,4,5,6,7,9,2,8]=>10000000=>1
[2,3,4,5,6,7,1,9,8]=>00000010=>7
[2,1,4,5,6,7,8,9,3]=>01000000=>2
[3,1,4,5,6,7,8,2,9]=>00000001=>8
[3,8,6,4,1,7,5,2]=>0000000=>8
[3,8,4,1,7,6,5,2]=>0000000=>8
[3,2,8,7,6,1,5,4]=>0000000=>8
[4,2,5,8,1,7,3,6]=>0000000=>8
[5,8,2,4,1,6,3,7]=>0000000=>8
[8,4,2,6,5,1,3,7]=>0000000=>8
[3,2,6,8,1,5,4,7]=>0000000=>8
[3,2,6,8,7,1,5,4]=>0000000=>8
[8,7,3,2,5,6,1,4]=>0000000=>8
[7,2,4,1,8,3,6,5]=>0000000=>8
[3,2,8,5,7,1,4,6]=>0000000=>8
[2,6,5,7,1,8,3,4]=>0000000=>8
[2,5,1,8,7,4,3,6]=>0000000=>8
[8,1,4,6,3,5,2,7]=>0000000=>8
[8,3,5,4,1,6,2,7]=>0000000=>8
[8,6,3,4,1,5,2,7]=>0000000=>8
[5,4,7,6,8,2,3,1]=>0000000=>8
[4,1,8,2,3,7,6,5]=>0000000=>8
[2,1,8,5,3,4,7,6]=>0100000=>2
[5,2,4,6,8,7,3,1]=>0000000=>8
[1,6,8,3,4,5,7,2]=>1000000=>1
[5,7,4,8,6,1,3,2]=>0000000=>8
[5,4,2,6,7,8,1,3]=>0000000=>8
[6,4,2,7,3,5,8,1]=>0000000=>8
[7,4,1,8,3,5,6,2]=>0000000=>8
[6,5,4,8,7,3,1,2]=>0000000=>8
[8,7,4,2,1,3,6,5]=>0000000=>8
[8,7,1,3,2,5,6,4]=>0000000=>8
[6,8,2,3,1,7,5,4]=>0000000=>8
[7,4,3,2,6,8,5,1]=>0000000=>8
[2,7,4,3,8,5,6,1]=>0000000=>8
[8,3,7,2,1,5,6,4]=>0000000=>8
[5,7,8,2,4,3,1,6]=>0000000=>8
[8,4,7,3,2,6,1,5]=>0000000=>8
[8,3,1,6,7,4,2,5]=>0000000=>8
[3,2,5,7,4,8,1,6]=>0000000=>8
[8,2,7,3,4,1,5,6]=>0000000=>8
[7,1,6,3,5,8,2,4]=>0000000=>8
[2,8,5,6,7,1,4,3]=>0000000=>8
[1,5,2,7,8,6,4,3]=>1000000=>1
[2,6,8,5,1,4,7,3]=>0000000=>8
[1,4,2,8,6,5,7,3]=>1000000=>1
[3,5,1,6,8,7,2,4]=>0000000=>8
[5,7,6,2,1,3,8,4]=>0000000=>8
[2,5,8,7,4,1,6,3]=>0000000=>8
[4,1,7,5,2,6,8,3]=>0000000=>8
[7,6,2,4,5,1,8,3]=>0000000=>8
[7,3,4,2,5,8,6,1]=>0000000=>8
[8,7,4,2,5,1,6,3]=>0000000=>8
[8,1,4,5,2,6,7,3]=>0000000=>8
[5,2,4,8,6,7,1,3]=>0000000=>8
[8,5,6,2,1,3,7,4]=>0000000=>8
[4,2,1,5,6,7,8,3]=>0000000=>8
[3,4,6,5,1,7,8,2]=>0000000=>8
[7,3,5,2,4,6,1,8]=>0000001=>7
[5,3,7,2,4,6,1,8]=>0000001=>7
[3,7,5,2,4,6,1,8]=>0000001=>7
[5,7,3,2,4,6,1,8]=>0000001=>7
[1,5,3,2,4,7,6,8]=>1000101=>1
[1,5,3,2,7,4,6,8]=>1000001=>1
[5,7,3,2,1,4,6,8]=>0000001=>7
[5,7,3,2,4,1,6,8]=>0000001=>7
[3,7,2,5,4,1,6,8]=>0000001=>7
[5,1,3,2,4,7,6,8]=>0000101=>5
[5,1,3,2,7,4,6,8]=>0000001=>7
[7,1,3,2,5,4,6,8]=>0000001=>7
[1,7,3,2,5,4,6,8]=>1000001=>1
[7,1,3,5,2,4,6,8]=>0000001=>7
[5,1,3,7,2,4,6,8]=>0000001=>7
[3,2,7,5,1,4,6,8]=>0000001=>7
[3,7,5,1,2,4,6,8]=>0000001=>7
[5,7,3,1,2,4,6,8]=>0000001=>7
[1,5,3,7,2,4,6,8]=>1000001=>1
[5,3,2,7,4,1,6,8]=>0000001=>7
[5,3,2,4,7,1,6,8]=>0000001=>7
[5,3,2,1,4,7,6,8]=>0000101=>5
[5,3,2,1,7,4,6,8]=>0000001=>7
[1,3,2,7,5,4,6,8]=>1010001=>1
[1,3,7,2,5,4,6,8]=>1000001=>1
[7,3,1,2,5,4,6,8]=>0000001=>7
[5,3,1,2,7,4,6,8]=>0000001=>7
[5,3,1,2,4,7,6,8]=>0000101=>5
[3,2,5,1,4,7,6,8]=>0000101=>5
[7,3,1,5,2,4,6,8]=>0000001=>7
[1,3,7,5,2,4,6,8]=>1000001=>1
[7,5,1,3,2,4,6,8]=>0000001=>7
[5,7,1,3,2,4,6,8]=>0000001=>7
[3,7,1,5,2,4,6,8]=>0000001=>7
[3,7,1,2,5,4,6,8]=>0000001=>7
[3,7,2,1,5,4,6,8]=>0000001=>7
[3,2,1,7,5,4,6,8]=>0010001=>3
[3,1,2,7,5,4,6,8]=>0010001=>3
[3,1,7,2,5,4,6,8]=>0000001=>7
[3,1,7,5,2,4,6,8]=>0000001=>7
[7,1,5,3,2,4,6,8]=>0000001=>7
[1,7,5,3,2,4,6,8]=>1000001=>1
[1,2,3,4,5,7,9,6,8]=>11111000=>1
[1,2,3,5,9,4,6,7,8]=>11100000=>1
[1,9,8,7,6,2,5,4,3]=>10000000=>1
[2,9,8,7,1,6,5,4,3]=>00000000=>9
[1,9,8,2,7,6,5,4,3]=>10000000=>1
[1,9,2,8,7,6,5,4,3]=>10000000=>1
[3,9,8,7,6,5,2,1,4]=>00000000=>9
[1,10,9,8,7,6,5,2,4,3]=>100000000=>1
[4,9,8,7,6,1,2,5,3]=>00000000=>9
[1,10,9,8,7,6,2,5,4,3]=>100000000=>1
[1,8,7,4,2,6,5,3]=>1000000=>1
[5,9,8,7,1,2,6,4,3]=>00000000=>9
[2,10,9,8,7,1,6,5,4,3]=>000000000=>10
[2,8,5,1,7,6,4,3]=>0000000=>8
[6,9,8,2,1,7,5,4,3]=>00000000=>9
[1,10,9,8,2,7,6,5,4,3]=>100000000=>1
[6,8,5,1,2,7,4,3]=>0000000=>8
[7,9,1,2,8,6,5,4,3]=>00000000=>9
[1,10,9,2,8,7,6,5,4,3]=>100000000=>1
[8,1,2,9,7,6,5,4,3]=>00000000=>9
[2,10,1,9,8,7,6,5,4,3]=>000000000=>10
[3,10,9,8,7,6,5,2,1,4]=>000000000=>10
[1,11,10,9,8,7,6,5,2,4,3]=>1000000000=>1
[1,9,8,7,6,3,2,5,4]=>10000000=>1
[4,10,9,8,7,6,1,2,5,3]=>000000000=>10
[1,11,10,9,8,7,6,2,5,4,3]=>1000000000=>1
[1,9,8,7,4,2,6,5,3]=>10000000=>1
[4,9,8,7,6,3,2,1,5]=>00000000=>9
[5,10,9,8,7,1,2,6,4,3]=>000000000=>10
[2,11,10,9,8,7,1,6,5,4,3]=>0000000000=>11
[2,8,1,4,7,6,5,3]=>0000000=>8
[2,9,8,5,1,7,6,4,3]=>00000000=>9
[5,9,8,7,4,1,2,6,3]=>00000000=>9
[6,10,9,8,2,1,7,5,4,3]=>000000000=>10
[1,11,10,9,8,2,7,6,5,4,3]=>1000000000=>1
[1,9,6,2,8,7,5,4,3]=>10000000=>1
[1,8,7,4,3,2,6,5]=>1000000=>1
[6,9,8,5,1,2,7,4,3]=>00000000=>9
[7,10,9,1,2,8,6,5,4,3]=>000000000=>10
[1,11,10,9,2,8,7,6,5,4,3]=>1000000000=>1
[1,7,2,9,8,6,5,4,3]=>10000000=>1
[1,8,5,4,2,7,6,3]=>1000000=>1
[7,9,6,2,1,8,5,4,3]=>00000000=>9
[8,10,1,2,9,7,6,5,4,3]=>000000000=>10
[2,11,10,1,9,8,7,6,5,4,3]=>0000000000=>11
[8,7,1,2,9,6,5,4,3]=>00000000=>9
[9,2,1,10,8,7,6,5,4,3]=>000000000=>10
[1,11,2,10,9,8,7,6,5,4,3]=>1000000000=>1
[1,7,2,3,6,8,5,4]=>1000000=>1
[3,5,6,4,8,2,7,1]=>0000000=>8
[3,5,1,4,8,2,7,6]=>0000000=>8
[1,7,5,4,8,2,6,3]=>1000000=>1
[3,7,5,1,6,4,8,2]=>0000000=>8
[2,7,5,4,8,1,3,6]=>0000000=>8
[2,7,5,4,8,6,1,3]=>0000000=>8
[1,7,5,4,8,6,3,2]=>1000000=>1
[2,5,1,4,8,7,3,6]=>0000000=>8
[3,6,4,2,8,7,1,5]=>0000000=>8
[3,5,2,4,8,1,6,7]=>0000000=>8
[3,5,6,4,8,1,2,7]=>0000000=>8
[1,5,6,4,8,7,2,3]=>1000000=>1
[3,6,4,1,8,7,2,5]=>0000000=>8
[3,6,4,5,8,7,2,1]=>0000000=>8
[1,6,4,3,8,5,2,7]=>1000000=>1
[7,1,3,4,5,8,2,6]=>0000000=>8
[7,6,1,4,5,3,8,2]=>0000000=>8
[7,6,1,3,5,4,8,2]=>0000000=>8
[7,1,3,2,5,8,4,6]=>0000000=>8
[1,6,4,2,8,5,3,7]=>1000000=>1
[7,6,5,8,2,4,3,1]=>0000000=>8
[7,6,5,8,3,1,4,2]=>0000000=>8
[2,6,4,3,8,1,7,5]=>0000000=>8
[2,6,4,3,8,5,7,1]=>0000000=>8
[7,2,3,1,5,8,6,4]=>0000000=>8
[7,1,5,6,3,8,4,2]=>0000000=>8
[7,3,6,5,1,4,8,2]=>0000000=>8
[7,2,6,5,3,8,1,4]=>0000000=>8
[7,2,3,1,4,8,6,5]=>0000000=>8
[7,2,3,5,4,8,6,1]=>0000000=>8
[2,6,4,5,8,1,7,3]=>0000000=>8
[1,5,6,4,8,3,7,2]=>1000000=>1
[2,5,6,4,8,3,1,7]=>0000000=>8
[3,5,6,1,4,7,8,2]=>0000000=>8
[7,6,1,3,4,5,8,2]=>0000000=>8
[7,1,3,2,4,8,5,6]=>0000000=>8
[7,6,1,5,3,4,8,2]=>0000000=>8
[7,6,1,5,4,3,8,2]=>0000000=>8
[1,6,4,5,8,3,2,7]=>1000000=>1
[7,6,5,8,1,3,2,4]=>0000000=>8
[3,4,6,8,7,2,1,5]=>0000000=>8
[3,5,6,8,2,1,7,4]=>0000000=>8
[4,2,1,5,3,7,8,6]=>0000100=>5
[4,2,5,6,3,1,8,7]=>0000010=>6
[3,5,6,8,1,7,2,4]=>0000000=>8
[4,1,5,6,3,2,8,7]=>0000010=>6
[4,5,3,1,7,2,8,6]=>0000000=>8
[4,1,3,5,2,7,8,6]=>0000100=>5
[2,5,4,7,3,8,6,1]=>0000000=>8
[3,5,7,1,8,4,2,6]=>0000000=>8
[4,1,5,3,2,7,8,6]=>0000100=>5
[4,5,3,7,1,2,8,6]=>0000000=>8
[4,3,6,1,2,7,5,8]=>0000001=>7
[5,1,3,2,4,6,7,8]=>0000111=>5
[3,6,1,7,4,5,2,8]=>0000001=>7
[5,1,3,4,2,6,7,8]=>0000111=>5
[5,3,1,4,2,6,7,8]=>0000111=>5
[4,5,2,3,7,1,8,6]=>0000000=>8
[4,2,6,1,3,7,5,8]=>0000001=>7
[4,6,2,1,3,7,5,8]=>0000001=>7
[3,6,2,1,7,4,8,5]=>0000000=>8
[3,1,4,7,6,5,2,8]=>0000001=>7
[3,6,2,7,1,5,8,4]=>0000000=>8
[4,6,2,7,1,3,5,8]=>0000001=>7
[3,5,7,1,8,2,6,4]=>0000000=>8
[5,1,4,2,3,6,7,8]=>0000111=>5
[3,6,1,7,2,5,8,4]=>0000000=>8
[2,6,5,3,4,7,8,1]=>0000000=>8
[3,6,1,7,5,4,2,8]=>0000001=>7
[5,1,4,3,2,6,7,8]=>0000111=>5
[5,4,1,3,2,6,7,8]=>0000111=>5
[6,2,4,5,1,8,3,7]=>0000000=>8
[7,6,4,5,1,3,8,2]=>0000000=>8
[1,6,7,5,3,4,8,2]=>1000000=>1
[7,6,2,3,8,4,1,5]=>0000000=>8
[1,6,7,5,8,2,3,4]=>1000000=>1
[6,2,5,8,3,4,7,1]=>0000000=>8
[6,2,3,8,7,4,1,5]=>0000000=>8
[2,4,7,3,5,8,6,1]=>0000000=>8
[2,5,3,7,1,8,4,6]=>0000000=>8
[5,2,8,3,1,4,6,7]=>0000000=>8
[4,8,2,3,6,5,7,1]=>0000000=>8
[5,8,1,3,6,4,7,2]=>0000000=>8
[5,8,1,4,3,6,2,7]=>0000000=>8
[5,8,4,1,3,7,6,2]=>0000000=>8
[6,4,5,3,8,1,7,2]=>0000000=>8
[4,6,5,3,7,1,2,8]=>0000001=>7
[4,5,1,3,6,2,8,7]=>0000010=>6
[4,2,6,5,1,7,3,8]=>0000001=>7
[4,3,5,7,2,1,6,8]=>0000001=>7
[3,4,7,6,8,1,2,5]=>0000000=>8
[3,4,6,2,5,8,7,1]=>0000000=>8
[3,5,2,4,6,1,8,7]=>0000010=>6
[4,2,5,1,6,8,3,7]=>0000000=>8
[1,8,2,3,6,5,7,4]=>1000000=>1
[4,2,8,3,5,7,1,6]=>0000000=>8
[4,3,8,6,5,7,1,2]=>0000000=>8
[1,3,7,2,6,5,8,4]=>1000000=>1
[1,3,6,4,2,5,8,7]=>1000010=>1
[1,5,4,7,3,6,8,2]=>1000000=>1
[5,2,3,8,4,1,7,6]=>0000000=>8
[7,5,3,4,8,2,1,6]=>0000000=>8
[7,2,8,3,4,1,5,6]=>0000000=>8
[7,4,3,8,5,2,6,1]=>0000000=>8
[4,6,2,7,3,1,5,8]=>0000001=>7
[7,6,3,8,2,4,5,1]=>0000000=>8
[7,2,8,5,1,3,4,6]=>0000000=>8
[1,5,3,7,6,8,4,2]=>1000000=>1
[1,6,3,7,8,2,4,5]=>1000000=>1
[1,4,3,7,8,5,2,6]=>1000000=>1
[4,2,6,5,7,8,3,1]=>0000000=>8
[4,2,6,7,5,8,1,3]=>0000000=>8
[3,2,4,7,8,5,1,6]=>0000000=>8
[3,2,6,7,8,1,4,5]=>0000000=>8
[3,8,5,6,1,7,2,4]=>0000000=>8
[3,4,8,1,7,6,2,5]=>0000000=>8
[6,7,4,8,5,1,3,2]=>0000000=>8
[3,6,5,8,7,1,4,2]=>0000000=>8
[5,6,8,3,1,7,4,2]=>0000000=>8
[5,3,8,1,7,2,6,4]=>0000000=>8
[6,5,3,8,2,7,4,1]=>0000000=>8
[6,4,8,1,3,7,5,2]=>0000000=>8
[7,6,3,1,4,2,5,8]=>0000001=>7
[1,5,4,3,7,8,2,6]=>1000000=>1
[4,2,8,7,6,3,1,5]=>0000000=>8
[6,3,1,8,7,5,2,4]=>0000000=>8
[7,6,3,1,8,4,2,5]=>0000000=>8
[7,6,4,2,1,8,3,5]=>0000000=>8
[8,3,5,7,6,4,2,1]=>0000000=>8
[1,8,2,7,5,3,6,4]=>1000000=>1
[7,5,2,1,8,3,6,4]=>0000000=>8
[5,2,7,4,1,8,6,3]=>0000000=>8
[8,7,4,1,5,2,6,3]=>0000000=>8
[8,7,5,2,6,3,1,4]=>0000000=>8
[1,3,7,6,5,8,2,4]=>1000000=>1
[8,6,4,7,5,2,1,3]=>0000000=>8
[6,3,1,4,7,5,2,8]=>0000001=>7
[8,6,3,1,4,7,5,2]=>0000000=>8
[1,8,2,6,4,7,5,3]=>1000000=>1
[7,5,2,1,6,4,8,3]=>0000000=>8
[1,4,7,3,5,2,6,8]=>1000001=>1
[5,7,4,2,6,3,1,8]=>0000001=>7
[4,2,6,3,5,7,1,8]=>0000001=>7
[6,1,3,7,4,2,5,8]=>0000001=>7
[3,2,6,8,1,5,7,4]=>0000000=>8
[8,6,2,7,1,5,4,3]=>0000000=>8
[6,3,7,2,8,1,5,4]=>0000000=>8
[7,5,2,8,6,1,4,3]=>0000000=>8
[1,6,8,5,2,4,3,7]=>1000000=>1
[4,5,7,2,8,1,6,3]=>0000000=>8
[4,5,3,1,7,2,6,8]=>0000001=>7
[6,1,3,4,2,8,5,7]=>0000000=>8
[1,7,4,3,6,8,2,5]=>1000000=>1
[8,7,1,3,6,5,4,2]=>0000000=>8
[4,7,5,3,8,2,1,6]=>0000000=>8
[6,3,5,8,7,4,1,2]=>0000000=>8
[4,7,2,8,5,6,3,1]=>0000000=>8
[1,4,8,7,3,5,6,2]=>1000000=>1
[8,1,7,6,3,5,4,2]=>0000000=>8
[3,6,8,5,7,4,1,2]=>0000000=>8
[3,8,7,5,6,4,2,1]=>0000000=>8
[2,8,7,6,4,5,3,1]=>0000000=>8
[1,8,7,6,5,3,4,2]=>1000000=>1
[4,6,7,2,5,3,1,8]=>0000001=>7
[4,2,6,8,7,1,5,3]=>0000000=>8
[2,7,3,8,1,6,5,4]=>0000000=>8
[2,6,8,4,1,7,5,3]=>0000000=>8
[3,6,1,8,2,7,5,4]=>0000000=>8
[6,3,7,1,2,8,5,4]=>0000000=>8
[1,7,8,5,4,3,2,6]=>1000000=>1
[1,2,6,7,8,4,3,5]=>1100000=>1
[4,7,1,3,6,8,2,5]=>0000000=>8
[3,7,6,4,8,1,2,5]=>0000000=>8
[1,3,6,7,4,2,8,5]=>1000000=>1
[3,6,4,8,2,7,5,1]=>0000000=>8
[8,1,6,7,5,3,2,4]=>0000000=>8
[8,7,2,4,6,5,3,1]=>0000000=>8
[1,7,8,2,6,4,5,3]=>1000000=>1
[8,7,2,5,4,6,1,3]=>0000000=>8
[8,7,3,2,1,5,6,4]=>0000000=>8
[8,7,6,1,4,5,3,2]=>0000000=>8
[4,8,1,2,3,7,5,6]=>0000000=>8
[1,8,2,3,6,5,4,7]=>1000000=>1
[3,5,8,4,7,2,6,1]=>0000000=>8
[1,8,5,4,6,2,3,7]=>1000000=>1
[3,8,5,4,6,1,2,7]=>0000000=>8
[3,8,5,1,6,4,2,7]=>0000000=>8
[2,8,5,4,6,1,3,7]=>0000000=>8
[2,8,5,4,6,3,1,7]=>0000000=>8
[1,8,5,4,6,3,2,7]=>1000000=>1
[2,5,8,4,7,3,6,1]=>0000000=>8
[3,6,4,2,7,8,5,1]=>0000000=>8
[3,5,4,1,6,2,7,8]=>0000011=>6
[4,5,8,1,7,6,2,3]=>0000000=>8
[3,5,8,4,7,1,6,2]=>0000000=>8
[1,5,8,4,7,3,6,2]=>1000000=>1
[3,6,4,1,7,8,5,2]=>0000000=>8
[3,6,4,8,7,5,2,1]=>0000000=>8
[1,6,4,3,7,8,5,2]=>1000000=>1
[7,1,3,4,8,6,5,2]=>0000000=>8
[7,6,1,3,8,4,2,5]=>0000000=>8
[1,6,4,2,7,8,3,5]=>1000000=>1
[2,6,4,3,7,1,8,5]=>0000000=>8
[2,6,4,1,7,8,3,5]=>0000000=>8
[7,2,3,4,8,6,5,1]=>0000000=>8
[7,2,3,1,8,6,4,5]=>0000000=>8
[7,2,3,4,1,6,8,5]=>0000000=>8
[1,2,4,3,8,5,7,6]=>1101000=>1
[7,3,8,6,1,4,2,5]=>0000000=>8
[7,2,8,6,3,4,1,5]=>0000000=>8
[7,2,3,1,5,6,8,4]=>0000000=>8
[7,2,3,8,1,6,5,4]=>0000000=>8
[7,2,3,8,5,6,4,1]=>0000000=>8
[2,6,4,8,7,1,5,3]=>0000000=>8
[1,5,8,4,7,6,2,3]=>1000000=>1
[3,5,8,1,6,7,2,4]=>0000000=>8
[7,6,1,3,5,8,2,4]=>0000000=>8
[7,1,3,2,5,6,8,4]=>0000000=>8
[7,1,3,8,2,6,5,4]=>0000000=>8
[7,6,1,8,5,4,2,3]=>0000000=>8
[4,3,7,1,6,5,8,2]=>0000000=>8
[5,2,6,4,8,1,7,3]=>0000000=>8
[5,3,7,4,8,1,6,2]=>0000000=>8
[4,3,7,1,5,2,8,6]=>0000000=>8
[4,3,7,1,6,2,8,5]=>0000000=>8
[5,4,8,1,6,3,7,2]=>0000000=>8
[4,1,7,8,6,3,2,5]=>0000000=>8
[1,2,6,8,3,7,4,5]=>1100000=>1
[7,5,8,4,3,1,6,2]=>0000000=>8
[6,8,2,4,1,3,7,5]=>0000000=>8
[6,1,2,7,5,8,4,3]=>0000000=>8
[4,5,2,6,8,3,7,1]=>0000000=>8
[6,8,4,1,5,3,7,2]=>0000000=>8
[6,8,3,5,1,4,7,2]=>0000000=>8
[8,1,3,4,2,6,5,7]=>0000000=>8
[8,1,3,2,5,6,4,7]=>0000000=>8
[8,1,2,4,5,3,7,6]=>0000000=>8
[7,4,5,1,6,2,8,3]=>0000000=>8
[8,3,6,1,5,7,4,2]=>0000000=>8
[3,2,7,5,8,6,1,4]=>0000000=>8
[2,4,6,7,8,1,5,3]=>0000000=>8
[2,4,6,8,1,7,5,3]=>0000000=>8
[7,4,3,8,6,2,1,5]=>0000000=>8
[4,3,6,2,1,8,5,7]=>0000000=>8
[4,6,2,3,7,5,8,1]=>0000000=>8
[8,4,5,3,2,1,7,6]=>0000000=>8
[5,8,3,4,2,1,7,6]=>0000000=>8
[6,4,8,3,2,7,1,5]=>0000000=>8
[5,8,3,7,2,1,6,4]=>0000000=>8
[6,4,7,3,8,2,1,5]=>0000000=>8
[6,7,4,3,2,1,8,5]=>0000000=>8
[8,4,3,7,2,1,5,6]=>0000000=>8
[1,2,6,5,8,7,3,4]=>1100000=>1
[1,5,2,8,4,6,7,3]=>1000000=>1
[1,5,2,7,4,6,8,3]=>1000000=>1
[5,1,2,7,3,6,8,4]=>0000000=>8
[5,6,3,4,8,7,2,1]=>0000000=>8
[6,5,3,4,8,7,2,1]=>0000000=>8
[4,1,2,8,3,6,7,5]=>0000000=>8
[4,1,2,7,3,6,8,5]=>0000000=>8
[7,5,3,8,4,6,2,1]=>0000000=>8
[8,5,3,7,4,6,2,1]=>0000000=>8
[5,8,1,2,3,4,7,6]=>0000000=>8
[7,1,2,8,3,6,4,5]=>0000000=>8
[1,6,8,2,4,5,7,3]=>1000000=>1
[4,3,8,7,5,6,2,1]=>0000000=>8
[1,8,2,7,4,6,5,3]=>1000000=>1
[5,8,3,7,4,6,2,1]=>0000000=>8
[6,8,7,3,4,5,2,1]=>0000000=>8
[1,8,7,2,4,5,3,6]=>1000000=>1
[8,1,6,2,3,5,4,7]=>0000000=>8
[1,7,6,2,4,5,3,8]=>1000001=>1
[1,8,7,4,6,3,5,2]=>1000000=>1
[1,8,3,5,7,2,6,4]=>1000000=>1
[2,3,4,6,8,5,7,1]=>0000000=>8
[2,4,6,3,7,8,5,1]=>0000000=>8
[2,5,7,1,8,6,3,4]=>0000000=>8
[8,2,4,5,1,3,7,6]=>0000000=>8
[1,6,2,7,8,5,3,4]=>1000000=>1
[3,5,2,6,7,8,4,1]=>0000000=>8
[4,5,1,6,7,3,8,2]=>0000000=>8
[2,8,4,1,7,5,3,6]=>0000000=>8
[8,5,3,1,7,4,2,6]=>0000000=>8
[3,1,6,7,8,4,2,5]=>0000000=>8
[1,6,7,8,9,2,3,4,5]=>10000000=>1
[1,7,8,9,2,3,4,5,6]=>10000000=>1
[1,7,8,9,10,2,3,4,5,6]=>100000000=>1
[8,6,2,3,5,1,4,7]=>0000000=>8
[8,2,4,5,7,3,1,6]=>0000000=>8
[2,6,3,8,7,5,4,1]=>0000000=>8
[8,2,3,7,5,4,1,6]=>0000000=>8
[8,2,6,3,5,4,1,7]=>0000000=>8
[8,6,1,5,2,4,3,7]=>0000000=>8
[8,6,2,4,1,5,3,7]=>0000000=>8
[8,4,1,6,5,3,2,7]=>0000000=>8
[8,3,6,1,5,4,2,7]=>0000000=>8
[8,3,2,6,5,4,1,7]=>0000000=>8
[8,3,2,5,7,4,1,6]=>0000000=>8
[8,3,1,7,5,4,2,6]=>0000000=>8
[8,2,7,4,1,5,3,6]=>0000000=>8
[6,1,3,8,7,5,4,2]=>0000000=>8
[3,6,1,8,7,5,4,2]=>0000000=>8
[3,8,1,5,7,6,4,2]=>0000000=>8
[3,5,2,8,7,6,4,1]=>0000000=>8
[3,4,8,2,7,6,5,1]=>0000000=>8
[3,4,8,7,1,6,5,2]=>0000000=>8
[8,1,3,5,7,6,4,2]=>0000000=>8
[4,1,8,5,7,6,3,2]=>0000000=>8
[8,2,7,1,4,5,6,3]=>0000000=>8
[8,1,7,3,4,6,2,5]=>0000000=>8
[8,3,1,7,2,6,5,4]=>0000000=>8
[3,8,2,4,7,6,5,1]=>0000000=>8
[2,8,3,7,4,6,5,1]=>0000000=>8
[8,2,3,7,1,6,5,4]=>0000000=>8
[8,2,7,1,3,6,5,4]=>0000000=>8
[8,1,7,2,6,4,3,5]=>0000000=>8
[8,1,7,5,2,4,3,6]=>0000000=>8
[8,2,3,7,4,6,1,5]=>0000000=>8
[2,4,8,5,7,6,3,1]=>0000000=>8
[8,2,4,3,7,6,1,5]=>0000000=>8
[8,2,7,3,5,1,4,6]=>0000000=>8
[8,2,7,4,3,1,5,6]=>0000000=>8
[8,2,7,3,1,5,6,4]=>0000000=>8
[8,2,1,5,7,6,4,3]=>0000000=>8
[6,2,1,8,7,5,4,3]=>0000000=>8
[6,1,8,2,7,5,4,3]=>0000000=>8
[8,1,7,3,5,2,6,4]=>0000000=>8
[8,1,5,2,7,6,4,3]=>0000000=>8
[8,1,7,2,4,6,5,3]=>0000000=>8
[8,2,4,1,7,6,5,3]=>0000000=>8
[4,2,8,3,7,6,5,1]=>0000000=>8
[4,8,2,1,7,6,5,3]=>0000000=>8
[5,1,8,7,2,6,4,3]=>0000000=>8
[5,8,1,3,7,6,2,4]=>0000000=>8
[8,2,5,4,1,7,6,3]=>0000000=>8
[5,1,4,8,7,6,3,2]=>0000000=>8
[8,1,4,3,7,6,5,2]=>0000000=>8
[4,8,1,3,7,6,5,2]=>0000000=>8
[4,3,8,1,7,6,5,2]=>0000000=>8
[5,7,6,3,2,4,1,8]=>0000001=>7
[6,5,7,2,4,3,1,8]=>0000001=>7
[5,7,1,3,2,8,6,4]=>0000000=>8
[5,8,1,3,2,7,4,6]=>0000000=>8
[8,5,1,3,2,4,6,7]=>0000000=>8
[7,5,8,2,1,4,3,6]=>0000000=>8
[8,1,6,4,2,3,5,7]=>0000000=>8
[1,7,8,2,3,5,6,4]=>1000000=>1
[7,4,1,2,6,8,3,5]=>0000000=>8
[6,2,8,1,5,7,3,4]=>0000000=>8
[7,3,5,4,2,1,8,6]=>0000000=>8
[7,3,2,8,5,6,1,4]=>0000000=>8
[4,7,6,5,1,3,8,2]=>0000000=>8
[6,7,4,2,1,8,5,3]=>0000000=>8
[1,7,6,3,2,8,4,5]=>1000000=>1
[5,4,2,1,7,3,6,8]=>0000001=>7
[3,5,8,2,6,1,7,4]=>0000000=>8
[3,7,6,1,5,2,8,4]=>0000000=>8
[1,7,6,2,5,8,4,3]=>1000000=>1
[3,7,6,5,8,1,2,4]=>0000000=>8
[3,7,6,2,8,4,5,1]=>0000000=>8
[4,3,6,8,5,1,2,7]=>0000000=>8
[2,7,1,5,8,4,3,6]=>0000000=>8
[7,1,2,6,3,5,4,8]=>0000001=>7
[6,7,8,4,2,5,3,1]=>0000000=>8
[6,1,2,5,7,8,4,3]=>0000000=>8
[4,7,3,1,2,6,8,5]=>0000000=>8
[3,7,6,1,5,8,2,4]=>0000000=>8
[3,8,5,6,4,2,7,1]=>0000000=>8
[3,2,6,4,7,8,5,1]=>0000000=>8
[4,2,7,5,8,3,1,6]=>0000000=>8
[4,2,7,1,3,8,6,5]=>0000000=>8
[5,2,1,4,7,8,3,6]=>0000000=>8
[5,6,2,7,3,4,8,1]=>0000000=>8
[2,7,6,8,5,3,1,4]=>0000000=>8
[1,5,8,6,4,2,3,7]=>1000000=>1
[1,6,2,3,5,8,7,4]=>1000000=>1
[7,4,6,2,8,3,5,1]=>0000000=>8
[7,5,4,3,8,6,2,1]=>0000000=>8
[4,3,8,2,5,7,1,6]=>0000000=>8
[6,7,2,3,1,5,8,4]=>0000000=>8
[4,5,1,7,6,3,8,2]=>0000000=>8
[8,6,3,1,4,2,5,7]=>0000000=>8
[4,5,1,6,2,8,7,3]=>0000000=>8
[4,8,3,6,1,7,2,5]=>0000000=>8
[6,2,7,8,3,4,5,1]=>0000000=>8
[9,2,3,4,5,6,7,8,1]=>00000000=>9
[8,2,3,4,5,6,7,1,9]=>00000001=>8
[7,2,3,4,5,6,1,8,9]=>00000011=>7
[6,2,3,4,5,1,7,8,9]=>00000111=>6
[5,2,3,4,1,6,7,8,9]=>00001111=>5
[4,2,3,1,5,6,7,8,9]=>00011111=>4
[1,2,4,3,5,6,7,8,9]=>11011111=>1
[1,2,4,6,8,9,7,5,3]=>11000000=>1
[1,2,4,5,3,6,7,8,9]=>11001111=>1
[1,2,4,3,5,6,7,8,9,10]=>110111111=>1
[1,2,4,6,8,10,9,7,5,3]=>110000000=>1
[1,2,4,6,8,5,7,3]=>1100000=>1
[7,3,8,4,6,5,1,2]=>0000000=>8
[7,4,3,6,5,8,1,2]=>0000000=>8
[4,5,8,7,2,6,1,3]=>0000000=>8
[3,8,6,7,5,1,4,2]=>0000000=>8
[4,6,7,8,5,2,3,1]=>0000000=>8
[6,3,8,7,5,1,4,2]=>0000000=>8
[3,2,4,5,1,8,6,7]=>0000100=>5
[4,2,5,1,7,8,3,6]=>0000000=>8
[2,5,4,1,3,8,6,7]=>0000100=>5
[1,4,5,3,8,2,6,7]=>1000000=>1
[5,1,8,2,4,3,6,7]=>0000000=>8
[3,6,2,4,8,7,1,5]=>0000000=>8
[7,3,4,6,8,1,2,5]=>0000000=>8
[1,5,6,8,3,7,2,4]=>1000000=>1
[6,1,5,8,3,4,7,2]=>0000000=>8
[5,6,8,1,3,4,7,2]=>0000000=>8
[3,1,7,8,5,4,6,2]=>0000000=>8
[1,6,2,7,4,8,5,3]=>1000000=>1
[2,7,1,8,4,3,5,6]=>0000000=>8
[6,7,1,8,3,2,4,5]=>0000000=>8
[6,7,2,8,1,3,4,5]=>0000000=>8
[5,1,6,8,7,2,3,4]=>0000000=>8
[1,5,7,6,8,2,3,4]=>1000000=>1
[7,4,6,8,5,3,1,2]=>0000000=>8
[4,7,5,8,6,3,1,2]=>0000000=>8
[2,6,8,1,5,4,7,3]=>0000000=>8
[1,5,4,7,6,2,8,3]=>1000000=>1
[2,3,7,6,5,1,8,4]=>0000000=>8
[6,1,5,8,3,2,7,4]=>0000000=>8
[3,1,2,4,8,5,7,6]=>0011000=>3
[7,1,5,4,8,3,2,6]=>0000000=>8
[6,4,1,7,5,3,2,8]=>0000001=>7
[1,7,2,5,3,8,6,4]=>1000000=>1
[2,4,1,3,6,8,5,7,9]=>00010001=>4
[7,3,2,5,8,1,6,4]=>0000000=>8
[5,3,8,4,1,2,6,7]=>0000000=>8
[2,4,8,3,7,1,5,6]=>0000000=>8
[5,2,8,4,1,6,3,7]=>0000000=>8
[7,6,5,2,1,8,4,3]=>0000000=>8
[2,7,5,1,8,3,6,4]=>0000000=>8
[5,7,1,3,2,4,8,6]=>0000000=>8
[4,2,7,6,3,5,8,1]=>0000000=>8
[8,1,7,4,2,3,5,6]=>0000000=>8
[4,7,8,3,2,5,1,6]=>0000000=>8
[8,6,5,1,7,4,3,2]=>0000000=>8
[7,6,4,1,3,5,8,2]=>0000000=>8
[8,2,3,7,1,4,5,6]=>0000000=>8
[5,6,2,7,4,3,1,8]=>0000001=>7
[8,6,2,7,4,1,3,5]=>0000000=>8
[6,8,4,7,3,1,5,2]=>0000000=>8
[4,8,6,5,1,2,7,3]=>0000000=>8
[4,8,6,5,1,2,3,7]=>0000000=>8
[3,4,5,1,7,6,8,2]=>0000000=>8
[5,8,2,6,1,4,7,3]=>0000000=>8
[3,8,7,5,6,1,4,2]=>0000000=>8
[6,8,4,7,2,1,5,3]=>0000000=>8
[7,4,6,5,1,3,8,2]=>0000000=>8
[1,7,3,4,5,2,8,6]=>1000000=>1
[4,8,2,1,3,5,6,7]=>0000000=>8
[1,7,2,5,4,3,8,6]=>1000000=>1
[2,6,7,3,4,8,1,5]=>0000000=>8
[2,1,5,7,4,3,8,6]=>0100000=>2
[4,1,8,7,5,6,2,3]=>0000000=>8
[1,5,8,7,4,3,6,2]=>1000000=>1
[6,4,1,3,8,7,5,2]=>0000000=>8
[2,1,7,4,6,8,3,5]=>0100000=>2
[1,7,2,4,6,8,3,5]=>1000000=>1
[8,6,4,2,7,3,5,1]=>0000000=>8
[7,4,6,1,2,3,8,5]=>0000000=>8
[1,8,6,2,7,3,5,4]=>1000000=>1
[1,7,8,6,2,3,5,4]=>1000000=>1
[2,1,8,3,5,7,6,4]=>0100000=>2
[3,5,8,1,7,6,2,4]=>0000000=>8
[2,8,1,3,6,7,5,4]=>0000000=>8
[7,2,4,8,6,1,5,3]=>0000000=>8
[2,3,4,5,6,8,1,9,10,7]=>000000000=>10
[4,1,2,5,6,7,8,9,10,3]=>000000000=>10
[8,2,1,3,4,5,6,7,9]=>00000001=>8
[3,2,4,5,6,7,8,1,9]=>00000001=>8
[9,2,1,3,4,5,6,7,8,10]=>000000001=>9
[8,3,1,2,4,5,6,7,9]=>00000001=>8
[8,2,3,1,4,5,6,7,9]=>00000001=>8
[4,2,3,5,6,7,8,1,9]=>00000001=>8
[8,7,2,4,6,10,1,3,5,9]=>000000000=>10
[2,10,7,9,4,6,8,1,3,5]=>000000000=>10
[6,5,2,4,8,10,1,3,7,9]=>000000000=>10
[2,8,5,7,4,6,10,1,3,9]=>000000000=>10
[10,5,2,4,7,9,6,8,1,3]=>000000000=>10
[10,9,2,8,5,7,4,6,1,3]=>000000000=>10
[8,7,6,5,2,4,10,1,3,9]=>000000000=>10
[10,7,2,6,5,9,4,8,1,3]=>000000000=>10
[6,10,5,9,8,7,2,4,1,3]=>000000000=>10
[4,10,3,9,2,6,8,1,5,7]=>000000000=>10
[4,3,10,7,9,2,6,8,1,5]=>000000000=>10
[3,6,2,5,4,8,10,1,7,9]=>000000000=>10
[3,6,10,2,5,9,4,8,1,7]=>000000000=>10
[3,5,8,2,4,7,6,10,1,9]=>000000000=>10
[3,5,7,10,2,4,6,9,8,1]=>000000000=>10
[10,9,3,5,8,2,4,7,6,1]=>000000000=>10
[8,7,3,6,2,5,4,10,1,9]=>000000000=>10
[7,6,3,5,10,2,4,9,8,1]=>000000000=>10
[3,6,10,9,8,2,5,7,4,1]=>000000000=>10
[10,9,8,7,3,6,2,5,4,1]=>000000000=>10
[5,4,3,8,2,7,6,10,1,9]=>000000000=>10
[5,4,3,7,10,2,6,9,8,1]=>000000000=>10
[5,10,4,9,3,8,2,7,6,1]=>000000000=>10
[4,8,3,7,6,5,2,10,1,9]=>000000000=>10
[4,7,3,6,5,10,2,9,8,1]=>000000000=>10
[4,6,10,3,5,9,8,7,2,1]=>000000000=>10
[10,9,4,8,3,7,6,5,2,1]=>000000000=>10
[7,6,5,4,3,10,2,9,8,1]=>000000000=>10
[6,5,4,10,3,9,8,7,2,1]=>000000000=>10
[5,10,4,9,8,7,6,3,2,1]=>000000000=>10
[5,4,7,3,2,6,8,1]=>0000000=>8
[4,8,1,7,5,3,2,6]=>0000000=>8
[5,4,3,7,2,8,6,1]=>0000000=>8
[2,6,5,8,7,3,1,4]=>0000000=>8
[6,3,8,4,1,7,2,5]=>0000000=>8
[7,2,8,1,6,4,3,5]=>0000000=>8
[5,4,2,8,6,3,7,1]=>0000000=>8
[2,4,7,8,5,3,1,6]=>0000000=>8
[6,5,8,7,3,2,4,1]=>0000000=>8
[8,3,1,6,5,7,4,2]=>0000000=>8
[8,5,6,7,3,1,4,2]=>0000000=>8
[8,7,5,3,2,6,4,1]=>0000000=>8
[8,5,3,1,4,6,7,2]=>0000000=>8
[8,5,1,6,4,3,7,2]=>0000000=>8
[6,1,4,3,7,8,2,5]=>0000000=>8
[6,1,2,7,5,8,3,4]=>0000000=>8
[2,7,3,1,4,6,8,5]=>0000000=>8
[3,8,5,6,7,1,2,4]=>0000000=>8
[6,5,1,2,8,4,7,3]=>0000000=>8
[2,5,8,1,4,6,7,3]=>0000000=>8
[2,1,8,7,5,4,6,3]=>0100000=>2
[7,8,3,4,1,6,5,2]=>0000000=>8
[6,4,7,5,2,8,3,1]=>0000000=>8
[4,6,3,8,7,5,1,2]=>0000000=>8
[2,8,4,1,5,7,6,3]=>0000000=>8
[1,8,4,2,5,7,6,3]=>1000000=>1
[2,8,5,4,1,7,6,3]=>0000000=>8
[2,5,8,3,7,1,6,4]=>0000000=>8
[1,8,5,2,4,7,6,3]=>1000000=>1
[1,4,6,2,8,7,5,3]=>1000000=>1
[7,8,2,4,1,6,5,3]=>0000000=>8
[2,4,6,1,8,7,5,3]=>0000000=>8
[2,8,4,5,1,7,6,3]=>0000000=>8
[3,5,8,2,7,6,1,4]=>0000000=>8
[2,1,6,8,7,5,3,4]=>0100000=>2
[1,8,2,4,5,7,6,3]=>1000000=>1
[1,2,8,3,5,7,6,4]=>1100000=>1
[1,3,8,2,5,7,6,4]=>1000000=>1
[2,3,8,1,5,7,6,4]=>0000000=>8
[2,6,1,8,7,5,3,4]=>0000000=>8
[1,6,2,8,7,5,3,4]=>1000000=>1
[1,6,3,8,7,5,2,4]=>1000000=>1
[2,6,3,8,7,5,1,4]=>0000000=>8
[3,2,8,1,5,7,6,4]=>0000000=>8
[3,1,8,2,5,7,6,4]=>0000000=>8
[2,8,1,4,5,7,6,3]=>0000000=>8
[7,8,2,1,4,6,5,3]=>0000000=>8
[2,3,6,8,7,5,1,4]=>0000000=>8
[3,1,6,8,7,2,5,4]=>0000000=>8
[3,8,4,5,1,6,2,7]=>0000000=>8
[6,1,4,5,7,2,3,8]=>0000001=>7
[8,1,4,7,6,3,2,5]=>0000000=>8
[8,3,1,6,4,7,2,5]=>0000000=>8
[5,3,8,6,2,7,1,4]=>0000000=>8
[8,3,6,1,5,7,2,4]=>0000000=>8
[8,4,6,3,1,2,5,7]=>0000000=>8
[6,8,1,4,5,2,3,7]=>0000000=>8
[1,5,8,4,6,2,3,7]=>1000000=>1
[2,1,6,5,3,8,4,7]=>0100000=>2
[5,6,8,1,4,2,3,7]=>0000000=>8
[5,7,4,8,1,2,3,6]=>0000000=>8
[8,2,1,5,3,7,4,6]=>0000000=>8
[4,7,8,1,2,6,3,5]=>0000000=>8
[8,7,1,5,6,2,3,4]=>0000000=>8
[1,6,5,8,7,2,3,4]=>1000000=>1
[3,7,1,6,2,4,8,5]=>0000000=>8
[5,1,2,7,6,8,3,4]=>0000000=>8
[6,1,7,2,5,8,3,4]=>0000000=>8
[1,7,6,5,8,2,3,4]=>1000000=>1
[1,6,8,5,7,2,3,4]=>1000000=>1
[7,5,1,2,6,8,3,4]=>0000000=>8
[6,1,5,2,7,8,3,4]=>0000000=>8
[1,6,3,8,7,2,4,5]=>1000000=>1
[1,7,3,2,4,6,8,5]=>1000000=>1
[8,3,1,4,2,5,7,6]=>0000000=>8
[3,1,2,7,8,4,6,5]=>0010000=>3
[5,1,2,6,8,7,3,4]=>0000000=>8
[1,8,6,2,5,7,3,4]=>1000000=>1
[5,7,8,1,2,6,3,4]=>0000000=>8
[8,1,5,7,6,2,3,4]=>0000000=>8
[7,1,6,8,5,2,3,4]=>0000000=>8
[3,7,1,2,8,4,6,5]=>0000000=>8
[8,3,1,2,7,6,4,5]=>0000000=>8
[1,5,8,7,6,2,3,4]=>1000000=>1
[7,8,6,1,5,2,3,4]=>0000000=>8
[1,9,3,4,5,6,7,8,2]=>10000000=>1
[1,9,8,4,5,6,7,3,2]=>10000000=>1
[1,10,3,4,5,6,7,8,9,2]=>100000000=>1
[1,10,9,4,5,6,7,8,3,2]=>100000000=>1
[1,7,4,8,2,5,3,6]=>1000000=>1
[6,4,7,3,2,5,1,8]=>0000001=>7
[3,1,2,7,6,8,5,4]=>0010000=>3
[6,3,2,8,4,5,1,7]=>0000000=>8
[3,8,5,2,4,6,1,7]=>0000000=>8
[5,7,8,4,6,3,2,1]=>0000000=>8
[5,3,2,8,6,4,7,1]=>0000000=>8
[3,1,6,4,7,5,2,8]=>0000001=>7
[2,6,4,7,5,3,8,1]=>0000000=>8
[4,7,6,2,3,1,8,5]=>0000000=>8
[2,6,8,7,5,3,1,4]=>0000000=>8
[6,4,1,7,5,2,8,3]=>0000000=>8
[8,6,2,1,5,7,4,3]=>0000000=>8
[1,3,8,5,2,7,4,6]=>1000000=>1
[1,3,8,6,7,2,4,5]=>1000000=>1
[2,8,3,7,6,1,4,5]=>0000000=>8
[1,3,8,7,6,2,4,5]=>1000000=>1
[4,5,6,8,1,2,7,3]=>0000000=>8
[3,5,8,6,1,2,7,4]=>0000000=>8
[4,2,6,8,7,1,3,5]=>0000000=>8
[1,4,6,8,7,2,3,5]=>1000000=>1
[3,5,8,4,1,7,2,6]=>0000000=>8
[7,6,4,8,5,1,3,2]=>0000000=>8
[6,3,7,5,2,4,8,1]=>0000000=>8
[8,2,7,3,1,5,4,6]=>0000000=>8
[2,6,4,8,3,1,7,5]=>0000000=>8
[4,1,6,5,7,8,2,3]=>0000000=>8
[6,1,3,7,4,2,8,5]=>0000000=>8
[1,3,8,2,5,6,7,4]=>1000000=>1
[1,8,6,7,2,5,4,3]=>1000000=>1
[7,6,8,3,5,4,2,1]=>0000000=>8
[1,6,7,3,8,5,4,2]=>1000000=>1
[7,8,6,5,2,4,3,1]=>0000000=>8
[5,4,6,7,8,1,3,2]=>0000000=>8
[5,3,6,7,8,1,4,2]=>0000000=>8
[5,3,7,6,8,4,1,2]=>0000000=>8
[2,5,4,7,8,1,3,6]=>0000000=>8
[5,3,7,4,6,2,8,1]=>0000000=>8
[4,5,6,2,7,3,8,1]=>0000000=>8
[5,4,6,2,8,3,7,1]=>0000000=>8
[8,4,6,1,7,2,5,3]=>0000000=>8
[5,2,1,6,3,8,7,4]=>0000000=>8
[6,3,2,8,5,4,1,7]=>0000000=>8
[4,3,1,5,2,8,6,7]=>0000100=>5
[8,5,4,1,3,2,6,7]=>0000000=>8
[4,3,5,1,2,7,6,8]=>0000101=>5
[4,2,1,8,6,3,7,5]=>0000000=>8
[7,3,2,1,6,4,5,8]=>0000001=>7
[2,8,6,1,7,4,3,5]=>0000000=>8
[2,5,4,6,1,3,7,8]=>0000011=>6
[2,5,6,4,1,3,7,8]=>0000011=>6
[8,5,2,6,1,3,7,4]=>0000000=>8
[7,1,5,6,3,2,4,8]=>0000001=>7
[4,1,2,7,5,6,3,8]=>0000001=>7
[7,1,2,6,5,4,3,8]=>0000001=>7
[8,2,1,5,6,3,7,4]=>0000000=>8
[2,8,5,1,6,4,7,3]=>0000000=>8
[6,1,4,5,3,2,7,8]=>0000011=>6
[3,1,6,5,4,2,7,8]=>0000011=>6
[2,1,8,6,3,7,5,4]=>0100000=>2
[5,8,3,1,7,6,4,2]=>0000000=>8
[5,6,3,8,7,4,1,2]=>0000000=>8
[5,2,6,8,7,4,1,3]=>0000000=>8
[4,3,8,5,7,2,6,1]=>0000000=>8
[6,3,8,4,5,1,2,7]=>0000000=>8
[5,2,3,1,4,8,6,7]=>0000100=>5
[5,4,1,3,2,8,6,7]=>0000100=>5
[5,1,3,4,2,8,6,7]=>0000100=>5
[4,2,7,3,8,5,1,6]=>0000000=>8
[5,4,3,1,2,8,6,7]=>0000100=>5
[5,1,7,3,4,6,8,2]=>0000000=>8
[5,8,7,4,3,1,6,2]=>0000000=>8
[6,8,1,3,4,5,7,2]=>0000000=>8
[3,1,7,8,2,5,4,6]=>0000000=>8
[6,2,3,7,4,1,8,5]=>0000000=>8
[6,3,7,4,1,2,5,8]=>0000001=>7
[7,2,6,8,4,3,1,5]=>0000000=>8
[3,6,7,5,1,2,4,8]=>0000001=>7
[2,1,4,8,3,7,5,6]=>0100000=>2
[1,2,7,8,4,3,6,5]=>1100000=>1
[5,3,7,8,4,2,6,1]=>0000000=>8
[6,3,7,8,2,4,5,1]=>0000000=>8
[8,5,2,4,3,1,7,6]=>0000000=>8
[7,5,4,2,3,1,8,6]=>0000000=>8
[1,4,2,6,5,8,7,3]=>1000000=>1
[1,3,2,6,4,8,7,5]=>1010000=>1
[1,4,2,5,3,8,7,6]=>1000100=>1
[1,5,2,6,4,8,7,3]=>1000000=>1
[1,6,2,5,3,8,7,4]=>1000000=>1
[1,7,3,5,4,8,6,2]=>1000000=>1
[1,8,2,6,3,7,5,4]=>1000000=>1
[1,8,3,6,4,7,5,2]=>1000000=>1
[1,7,2,6,4,8,5,3]=>1000000=>1
[1,7,2,6,3,8,5,4]=>1000000=>1
[1,5,2,7,4,8,6,3]=>1000000=>1
[1,4,2,8,5,7,6,3]=>1000000=>1
[4,8,1,3,2,6,5,7]=>0000000=>8
[1,5,3,8,4,7,6,2]=>1000000=>1
[1,8,4,7,3,6,5,2]=>1000000=>1
[8,3,5,7,4,1,2,6]=>0000000=>8
[6,8,7,3,1,5,4,2]=>0000000=>8
[2,5,8,7,4,6,3,1]=>0000000=>8
[4,8,7,6,5,1,3,2]=>0000000=>8
[6,8,4,1,5,2,7,3]=>0000000=>8
[6,8,2,1,7,5,3,4]=>0000000=>8
[4,8,7,6,5,2,1,3]=>0000000=>8
[4,8,7,5,1,6,2,3]=>0000000=>8
[4,5,2,1,8,6,7,3]=>0000000=>8
[4,5,8,3,1,6,7,2]=>0000000=>8
[5,7,2,8,4,6,1,3]=>0000000=>8
[6,7,3,2,4,8,5,1]=>0000000=>8
[7,2,8,6,4,5,1,3]=>0000000=>8
[8,7,2,6,5,1,3,4]=>0000000=>8
[5,2,7,8,4,1,3,6]=>0000000=>8
[2,7,8,6,4,1,3,5]=>0000000=>8
[7,6,3,5,2,8,4,1]=>0000000=>8
[6,2,7,4,8,5,3,1]=>0000000=>8
[8,6,5,1,7,2,4,3]=>0000000=>8
[6,8,5,1,7,3,2,4]=>0000000=>8
[1,6,8,3,7,4,2,5]=>1000000=>1
[5,1,6,3,4,8,2,7]=>0000000=>8
[3,5,2,6,4,8,1,7]=>0000000=>8
[3,5,2,4,8,1,7,6]=>0000000=>8
[6,3,8,2,4,1,7,5]=>0000000=>8
[4,6,3,8,7,5,2,1]=>0000000=>8
[6,3,8,7,5,4,2,1]=>0000000=>8
[6,8,4,2,1,7,5,3]=>0000000=>8
[5,2,6,4,3,8,1,7]=>0000000=>8
[6,5,3,1,4,8,2,7]=>0000000=>8
[3,1,7,8,6,4,2,5]=>0000000=>8
[3,8,1,7,6,2,5,4]=>0000000=>8
[8,1,7,6,4,2,5,3]=>0000000=>8
[7,2,6,3,8,5,4,1]=>0000000=>8
[7,3,8,6,4,1,5,2]=>0000000=>8
[1,7,5,8,2,4,3,6]=>1000000=>1
[6,1,5,2,4,8,3,7]=>0000000=>8
[1,5,6,3,8,2,4,7]=>1000000=>1
[8,7,1,3,6,5,2,4]=>0000000=>8
[2,6,7,4,3,8,5,1]=>0000000=>8
[5,2,4,7,3,8,6,1]=>0000000=>8
[1,5,8,7,2,4,6,3]=>1000000=>1
[1,4,8,7,3,6,5,2]=>1000000=>1
[8,3,7,2,5,1,6,4]=>0000000=>8
[3,7,2,8,1,5,4,6]=>0000000=>8
[3,2,6,1,5,8,4,7]=>0000000=>8
[7,2,1,5,8,4,3,6]=>0000000=>8
[7,2,8,1,4,3,6,5]=>0000000=>8
[1,7,8,3,2,6,5,4]=>1000000=>1
[1,7,4,8,3,2,6,5]=>1000000=>1
[1,7,5,4,8,3,2,6]=>1000000=>1
[6,1,5,4,3,8,2,7]=>0000000=>8
[1,6,4,2,3,5,7,8]=>1000011=>1
[1,8,7,2,3,4,5,6]=>1000000=>1
[1,5,8,6,2,3,4,7]=>1000000=>1
[1,2,3,7,6,4,5,8]=>1110001=>1
[1,5,4,2,3,8,6,7]=>1000100=>1
[1,7,5,8,2,3,4,6]=>1000000=>1
[1,8,7,5,2,3,4,6]=>1000000=>1
[2,1,5,8,6,3,7,4]=>0100000=>2
[2,5,8,4,6,1,7,3]=>0000000=>8
[5,8,4,6,1,3,7,2]=>0000000=>8
[8,3,5,7,2,6,4,1]=>0000000=>8
[2,4,6,8,5,3,7,1]=>0000000=>8
[2,4,8,1,7,6,5,3]=>0000000=>8
[4,3,8,1,5,7,6,2]=>0000000=>8
[4,3,6,8,5,2,7,1]=>0000000=>8
[8,5,4,7,2,6,3,1]=>0000000=>8
[3,6,8,5,4,2,7,1]=>0000000=>8
[3,6,4,1,8,2,7,5]=>0000000=>8
[4,8,6,5,1,3,7,2]=>0000000=>8
[2,3,7,4,6,1,8,5]=>0000000=>8
[2,6,7,4,1,3,8,5]=>0000000=>8
[2,4,6,3,5,7,8,1]=>0000000=>8
[2,3,6,1,5,7,8,4]=>0000000=>8
[4,7,3,1,8,6,5,2]=>0000000=>8
[5,6,4,2,7,1,8,3]=>0000000=>8
[4,2,7,5,3,1,8,6]=>0000000=>8
[5,3,6,4,8,2,1,7]=>0000000=>8
[7,3,2,5,4,1,8,6]=>0000000=>8
[7,3,2,5,1,8,6,4]=>0000000=>8
[4,6,3,8,7,2,1,5]=>0000000=>8
[4,7,3,8,6,2,1,5]=>0000000=>8
[5,7,3,2,6,1,8,4]=>0000000=>8
[5,7,3,2,6,4,1,8]=>0000001=>7
[2,7,5,3,1,8,6,4]=>0000000=>8
[7,5,2,8,4,3,1,6]=>0000000=>8
[4,3,7,5,8,2,1,6]=>0000000=>8
[4,3,7,5,2,6,1,8]=>0000001=>7
[4,3,5,2,8,6,1,7]=>0000000=>8
[1,2,8,6,4,5,7,3]=>1100000=>1
[1,9,4,3,5,6,7,8,2]=>10000000=>1
[9,3,2,4,5,6,7,8,1]=>00000000=>9
[10,2,3,4,5,6,7,8,9,1]=>000000000=>10
[1,2,3,5,7,4,6,9,8]=>11100010=>1
[1,2,3,6,4,7,5,9,8]=>11100010=>1
[1,2,3,4,6,8,5,7,10,9]=>111100010=>1
[1,2,3,4,6,8,5,7,9]=>11110001=>1
[1,2,3,4,7,5,8,6,9]=>11110001=>1
[1,2,3,4,7,5,8,6,10,9]=>111100010=>1
[1,2,3,5,7,4,6,9,8,10]=>111000101=>1
[1,2,5,7,3,4,6,9,8]=>11000010=>1
[1,2,4,5,7,3,6,9,8]=>11000010=>1
[1,2,6,3,4,7,5,9,8]=>11000010=>1
[1,2,5,6,3,7,4,9,8]=>11000010=>1
[1,2,3,6,4,7,5,9,8,10]=>111000101=>1
[3,2,6,4,1,8,5,7]=>0000000=>8
[5,4,8,6,2,3,1,7]=>0000000=>8
[4,8,7,5,2,3,1,6]=>0000000=>8
[6,4,1,8,7,3,2,5]=>0000000=>8
[1,8,5,4,2,7,3,6]=>1000000=>1
[3,7,6,1,5,8,4,2]=>0000000=>8
[3,6,5,8,2,7,4,1]=>0000000=>8
[8,3,2,7,4,6,5,1]=>0000000=>8
[7,5,8,4,1,3,6,2]=>0000000=>8
[7,1,6,2,3,8,4,5]=>0000000=>8
[6,4,7,1,3,2,8,5]=>0000000=>8
[5,1,3,8,7,2,6,4]=>0000000=>8
[8,7,1,6,2,5,3,4]=>0000000=>8
[3,8,5,2,4,7,6,1]=>0000000=>8
[7,1,5,2,4,8,3,6]=>0000000=>8
[3,8,5,1,4,7,2,6]=>0000000=>8
[7,2,5,4,1,3,8,6]=>0000000=>8
[4,9,1,2,3,5,6,7,8]=>00000000=>9
[3,9,1,2,4,5,6,7,8]=>00000000=>9
[1,8,2,3,4,5,6,7,9]=>10000001=>1
[7,4,6,1,3,2,5,8]=>0000001=>7
[1,4,5,8,6,3,2,7]=>1000000=>1
[5,2,6,3,1,7,8,4]=>0000000=>8
[4,3,5,1,6,7,8,2]=>0000000=>8
[5,7,6,1,2,3,8,4]=>0000000=>8
[3,6,7,5,1,2,8,4]=>0000000=>8
[1,7,6,8,5,2,4,3]=>1000000=>1
[9,8,7,5,6,4,3,2,1]=>00000000=>9
[2,1,9,8,6,7,5,4,3]=>01000000=>2
[11,10,9,8,7,6,5,4,3,2,1]=>0000000000=>11
[10,9,8,7,5,6,4,3,2,1]=>000000000=>10
[9,8,7,5,4,6,3,2,1]=>00000000=>9
[9,8,7,4,6,5,3,2,1]=>00000000=>9
[2,1,9,8,6,5,7,4,3]=>01000000=>2
[2,1,9,8,5,7,6,4,3]=>01000000=>2
[2,1,10,9,8,6,7,5,4,3]=>010000000=>2
[2,1,11,10,9,8,7,6,5,4,3]=>0100000000=>2
[1,8,7,6,5,4,3,2,9]=>10000001=>1
[1,9,8,7,6,5,4,3,2,10]=>100000001=>1
[2,1,8,7,6,5,4,3,9]=>01000001=>2
[6,5,8,3,7,2,1,4]=>0000000=>8
[1,8,4,3,2,6,7,5]=>1000000=>1
[5,4,3,8,2,1,7,6]=>0000000=>8
[6,4,8,3,2,1,7,5]=>0000000=>8
[5,4,3,8,2,1,6,7]=>0000000=>8
[1,8,4,3,2,5,7,6]=>1000000=>1
[4,5,6,7,8,1,2,9,3]=>00000000=>9
[4,5,6,7,1,2,8,9,3]=>00000000=>9
[4,5,6,1,2,7,8,9,3]=>00000000=>9
[4,5,1,2,6,7,8,9,3]=>00000000=>9
[7,2,3,4,5,8,1,6]=>0000000=>8
[7,3,6,2,8,1,5,4]=>0000000=>8
[8,1,5,2,3,7,6,4]=>0000000=>8
[4,3,6,2,1,8,7,5]=>0000000=>8
[3,7,4,5,1,6,2,8]=>0000001=>7
[3,6,4,5,8,2,1,7]=>0000000=>8
[6,1,4,5,2,8,7,3]=>0000000=>8
[7,2,4,5,1,6,3,8]=>0000001=>7
[7,5,4,1,6,3,2,8]=>0000001=>7
[1,5,4,8,6,3,2,7]=>1000000=>1
[7,5,4,8,6,3,1,2]=>0000000=>8
[1,8,7,5,3,6,4,2]=>1000000=>1
[8,3,7,4,1,6,2,5]=>0000000=>8
[8,5,4,1,6,3,2,7]=>0000000=>8
[1,7,4,2,6,5,3,8]=>1000001=>1
[8,2,1,5,6,7,3,4]=>0000000=>8
[6,3,1,8,4,7,2,5]=>0000000=>8
[7,1,4,8,6,3,2,5]=>0000000=>8
[4,1,8,5,6,7,2,3]=>0000000=>8
[5,7,4,8,6,2,1,3]=>0000000=>8
[5,3,6,8,2,7,1,4]=>0000000=>8
[6,3,7,4,8,2,1,5]=>0000000=>8
[5,3,6,1,4,7,2,8]=>0000001=>7
[4,3,6,8,2,7,1,5]=>0000000=>8
[5,3,7,4,8,2,1,6]=>0000000=>8
[5,3,8,4,1,6,2,7]=>0000000=>8
[5,3,8,1,4,7,2,6]=>0000000=>8
[5,8,4,1,6,3,2,7]=>0000000=>8
[7,3,8,4,1,6,2,5]=>0000000=>8
[1,5,8,3,6,7,4,2]=>1000000=>1
[1,8,2,5,6,7,3,4]=>1000000=>1
[7,8,4,1,6,5,2,3]=>0000000=>8
[6,3,8,1,5,7,2,4]=>0000000=>8
[8,3,1,2,5,7,4,6]=>0000000=>8
[8,1,4,2,6,5,3,7]=>0000000=>8
[7,8,1,2,3,4,5,9,6]=>00000000=>9
[2,8,9,1,3,4,5,6,7]=>00000000=>9
[2,8,9,10,1,3,4,5,6,7]=>000000000=>10
[7,1,8,2,9,3,4,5,6]=>00000000=>9
[6,1,7,2,8,3,9,4,5]=>00000000=>9
[5,1,6,2,7,3,8,4,9]=>00000001=>8
[8,1,9,2,10,3,4,5,6,7]=>000000000=>10
[7,1,8,2,3,9,4,5,6]=>00000000=>9
[7,1,8,2,9,3,10,4,5,6]=>000000000=>10
[6,1,7,2,8,3,4,9,5]=>00000000=>9
[5,1,6,2,7,3,9,4,8]=>00000000=>9
[5,1,6,2,7,3,8,4,10,9]=>000000010=>8
[4,1,5,2,7,3,8,6,9]=>00000001=>8
[4,1,5,2,6,3,8,7,10,9]=>000001010=>6
[5,1,3,7,4,8,2,6]=>0000000=>8
[5,1,3,4,7,8,2,6]=>0000000=>8
[2,5,8,7,4,3,6,1]=>0000000=>8
[5,1,7,8,3,4,2,6]=>0000000=>8
[2,5,4,8,3,7,6,1]=>0000000=>8
[5,6,8,2,3,4,1,7]=>0000000=>8
[4,5,2,3,8,6,1,7]=>0000000=>8
[5,8,2,1,6,3,4,7]=>0000000=>8
[2,4,7,8,5,3,6,1]=>0000000=>8
[5,3,1,4,7,2,8,6]=>0000000=>8
[2,4,7,5,8,3,6,1]=>0000000=>8
[4,3,5,8,2,1,7,6]=>0000000=>8
[4,8,5,3,7,1,2,6]=>0000000=>8
[4,8,5,7,3,1,2,6]=>0000000=>8
[4,8,7,5,1,3,2,6]=>0000000=>8
[1,8,5,7,2,4,3,6]=>1000000=>1
[1,8,5,4,2,3,6,7]=>1000000=>1
[1,3,6,8,5,4,2,7]=>1000000=>1
[1,6,3,8,2,7,4,5]=>1000000=>1
[1,4,2,7,5,8,3,6]=>1000000=>1
[1,8,2,3,6,7,5,4]=>1000000=>1
[1,3,6,8,2,7,5,4]=>1000000=>1
[1,6,5,4,3,8,2,7]=>1000000=>1
[1,8,3,4,5,6,2,7]=>1000000=>1
[1,8,3,6,2,4,5,7]=>1000000=>1
[1,4,5,8,3,6,2,7]=>1000000=>1
[6,2,8,7,5,4,1,3]=>0000000=>8
[6,2,8,4,3,7,1,5]=>0000000=>8
[5,2,8,4,3,1,7,6]=>0000000=>8
[1,2,5,4,8,3,7,6]=>1100000=>1
[1,4,3,6,8,7,2,5]=>1000000=>1
[5,3,2,6,8,4,7,1]=>0000000=>8
[3,1,8,6,4,7,2,5]=>0000000=>8
[3,1,6,8,5,4,2,7]=>0000000=>8
[5,3,8,2,7,6,1,4]=>0000000=>8
[6,5,4,8,3,7,2,1]=>0000000=>8
[4,8,5,1,3,7,2,6]=>0000000=>8
[4,3,8,7,2,6,5,1]=>0000000=>8
[2,7,5,1,8,4,6,3]=>0000000=>8
[7,8,5,2,1,6,4,3]=>0000000=>8
[7,6,4,8,1,2,5,3]=>0000000=>8
[7,5,4,8,3,2,6,1]=>0000000=>8
[3,8,5,6,2,7,1,4]=>0000000=>8
[2,4,5,8,7,3,1,6]=>0000000=>8
[4,3,7,5,6,2,8,1]=>0000000=>8
[4,5,1,8,6,7,3,2]=>0000000=>8
[3,4,5,8,6,7,2,1]=>0000000=>8
[2,1,5,8,6,7,4,3]=>0100000=>2
[3,4,5,8,7,1,2,6]=>0000000=>8
[6,5,4,7,1,3,8,2]=>0000000=>8
[6,1,4,7,2,3,8,5]=>0000000=>8
[2,1,3,4,5,6,8,9,7]=>01111100=>2
[2,1,3,4,5,6,7,9,8]=>01111110=>2
[2,1,3,4,5,6,7,9,10,8]=>011111100=>2
[2,3,1,4,5,6,8,9,7]=>00111100=>3
[1,3,2,4,5,6,8,9,7]=>10111100=>1
[2,3,1,4,5,6,7,9,8]=>00111110=>3
[1,3,2,4,5,6,7,9,8]=>10111110=>1
[2,1,3,4,5,6,7,8,10,9]=>011111110=>2
[1,6,2,5,4,8,3,7]=>1000000=>1
[4,1,2,7,5,8,3,6]=>0000000=>8
[6,1,3,5,8,2,4,7]=>0000000=>8
[5,6,4,3,1,8,2,7]=>0000000=>8
[6,2,3,5,8,1,4,7]=>0000000=>8
[6,7,2,3,8,4,5,1]=>0000000=>8
[6,7,2,1,3,8,4,5]=>0000000=>8
[5,7,4,1,8,3,2,6]=>0000000=>8
[4,1,7,5,8,3,6,2]=>0000000=>8
[6,7,1,3,8,4,5,2]=>0000000=>8
[1,6,7,4,3,8,5,2]=>1000000=>1
[6,1,7,4,2,8,5,3]=>0000000=>8
[2,1,6,7,4,3,8,5]=>0100000=>2
[6,7,3,2,1,8,4,5]=>0000000=>8
[2,5,7,3,1,4,8,6]=>0000000=>8
[6,7,3,2,8,4,5,1]=>0000000=>8
[1,2,6,7,4,3,8,5]=>1100000=>1
[2,7,1,8,4,6,3,5]=>0000000=>8
[2,7,5,8,1,6,3,4]=>0000000=>8
[6,7,1,8,4,5,3,2]=>0000000=>8
[8,3,5,7,6,1,4,2]=>0000000=>8
[8,7,3,6,2,1,5,4]=>0000000=>8
[8,6,2,4,7,3,1,5]=>0000000=>8
[8,6,1,5,4,3,2,7]=>0000000=>8
[2,4,5,8,3,1,6,7]=>0000000=>8
[7,8,3,2,5,4,6,1]=>0000000=>8
[1,5,6,7,3,8,2,4]=>1000000=>1
[1,6,5,4,8,3,2,7]=>1000000=>1
[7,2,1,6,4,8,5,3]=>0000000=>8
[1,3,7,6,4,8,5,2]=>1000000=>1
[3,1,8,7,6,4,2,5]=>0000000=>8
[3,1,8,7,5,4,2,6]=>0000000=>8
[3,1,7,6,5,4,2,8]=>0000001=>7
[4,7,1,6,5,3,2,8]=>0000001=>7
[4,8,1,6,5,3,2,7]=>0000000=>8
[8,4,1,7,6,3,2,5]=>0000000=>8
[5,4,1,8,6,3,2,7]=>0000000=>8
[5,4,1,7,6,3,2,8]=>0000001=>7
[6,4,1,8,5,3,2,7]=>0000000=>8
[8,4,1,7,5,3,2,6]=>0000000=>8
[7,4,1,6,5,3,2,8]=>0000001=>7
[7,5,6,1,4,3,2,8]=>0000001=>7
[8,5,6,1,4,3,2,7]=>0000000=>8
[8,5,7,1,4,3,2,6]=>0000000=>8
[5,7,6,1,4,3,2,8]=>0000001=>7
[5,8,6,1,4,3,2,7]=>0000000=>8
[6,7,5,1,4,3,2,8]=>0000001=>7
[8,7,5,1,4,3,2,6]=>0000000=>8
[8,6,5,1,4,3,2,7]=>0000000=>8
[1,8,6,3,4,2,5,7]=>1000000=>1
[3,1,6,4,5,8,7,2]=>0000000=>8
[3,1,6,4,5,8,2,7]=>0000000=>8
[4,6,8,7,2,5,1,3]=>0000000=>8
[7,6,3,8,4,5,2,1]=>0000000=>8
[8,2,7,6,1,4,3,5]=>0000000=>8
[5,2,7,8,1,4,3,6]=>0000000=>8
[5,6,3,8,4,1,2,7]=>0000000=>8
[5,2,3,4,7,1,6,8]=>0000001=>7
[5,2,3,7,1,6,8,4]=>0000000=>8
[8,7,5,3,1,6,4,2]=>0000000=>8
[1,4,7,8,5,2,3,6]=>1000000=>1
[3,2,6,7,4,1,5,8]=>0000001=>7
[5,8,3,7,6,4,1,2]=>0000000=>8
[4,7,5,8,2,1,3,6]=>0000000=>8
[8,1,2,7,5,4,3,6]=>0000000=>8
[6,5,1,8,3,7,2,4]=>0000000=>8
[7,6,3,1,2,8,5,4]=>0000000=>8
[6,3,5,7,1,4,2,8]=>0000001=>7
[1,7,5,2,6,4,8,3]=>1000000=>1
[7,1,3,6,8,2,4,5]=>0000000=>8
[1,2,5,7,8,4,6,3]=>1100000=>1
[3,1,2,7,5,4,8,6]=>0010000=>3
[6,7,4,1,3,2,8,5]=>0000000=>8
[1,7,2,8,4,3,5,6]=>1000000=>1
[1,6,3,5,7,8,2,4]=>1000000=>1
[8,6,1,7,5,2,4,3]=>0000000=>8
[7,6,4,1,8,3,2,5]=>0000000=>8
[8,4,1,6,5,2,7,3]=>0000000=>8
[1,5,3,4,7,8,2,6]=>1000000=>1
[4,2,1,5,7,8,3,6]=>0000000=>8
[5,4,1,6,7,8,2,3]=>0000000=>8
[5,1,4,6,7,8,2,3]=>0000000=>8
[4,1,5,3,7,8,2,6]=>0000000=>8
[8,1,4,6,5,2,7,3]=>0000000=>8
[7,1,5,4,6,3,2,8]=>0000001=>7
[8,2,1,6,7,5,4,3]=>0000000=>8
[1,2,4,7,6,3,8,5]=>1100000=>1
[6,7,4,1,8,5,2,3]=>0000000=>8
[8,6,4,1,5,7,3,2]=>0000000=>8
[5,2,4,3,7,1,6,8]=>0000001=>7
[6,1,5,4,8,3,2,7]=>0000000=>8
[1,2,8,7,4,3,6,5]=>1100000=>1
[3,2,1,7,5,8,4,6]=>0010000=>3
[1,3,6,4,7,8,2,5]=>1000000=>1
[4,5,1,3,7,8,2,6]=>0000000=>8
[5,2,3,1,7,8,4,6]=>0000000=>8
[1,6,4,3,7,8,2,5]=>1000000=>1
[7,6,4,3,1,5,2,8]=>0000001=>7
[7,5,4,6,1,3,2,8]=>0000001=>7
[8,4,6,5,1,2,7,3]=>0000000=>8
[1,5,6,3,7,8,2,4]=>1000000=>1
[7,1,2,3,4,5,8,9,10,6]=>000000000=>10
[6,7,1,2,3,4,8,9,5]=>00000000=>9
[6,1,2,3,4,7,8,9,10,5]=>000000000=>10
[5,1,2,3,6,7,8,9,10,4]=>000000000=>10
[1,5,2,4,3,8,7,6]=>1000100=>1
[8,6,5,7,2,1,4,3]=>0000000=>8
[1,6,3,8,4,5,7,2]=>1000000=>1
[7,5,4,2,6,3,8,1]=>0000000=>8
[7,8,6,5,4,3,2,9,1]=>00000000=>9
[9,7,6,5,4,3,1,2,8]=>00000000=>9
[2,4,3,5,6,7,8,9,1]=>00000000=>9
[4,3,7,8,6,2,5,1]=>0000000=>8
[2,4,7,8,6,1,5,3]=>0000000=>8
[2,4,8,5,1,7,3,6]=>0000000=>8
[2,8,3,5,1,6,4,7]=>0000000=>8
[8,2,4,6,3,7,5,1]=>0000000=>8
[4,5,3,8,2,1,7,6]=>0000000=>8
[4,5,6,7,8,9,2,1,3]=>00000000=>9
[5,6,7,8,9,2,1,3,4]=>00000000=>9
[6,7,8,9,2,1,3,4,5]=>00000000=>9
[7,8,9,2,1,3,4,5,6]=>00000000=>9
[8,9,2,1,3,4,5,6,7]=>00000000=>9
[8,2,1,4,5,6,7,3]=>0000000=>8
[7,8,2,1,5,4,6,3]=>0000000=>8
[1,4,8,5,2,6,3,7]=>1000000=>1
[1,2,8,4,3,6,7,5]=>1100000=>1
[1,2,7,5,3,4,6,8]=>1100001=>1
[1,7,3,2,6,8,4,5]=>1000000=>1
[7,2,1,3,6,8,4,5]=>0000000=>8
[4,7,8,1,6,5,3,2]=>0000000=>8
[1,8,4,2,7,6,3,5]=>1000000=>1
[7,3,8,1,6,5,4,2]=>0000000=>8
[7,1,3,8,6,5,4,2]=>0000000=>8
[8,1,3,7,6,5,4,2]=>0000000=>8
[2,4,1,8,7,3,6,5]=>0000000=>8
[7,3,8,6,1,5,4,2]=>0000000=>8
[3,5,1,7,8,2,6,4]=>0000000=>8
[5,4,7,8,2,1,6,3]=>0000000=>8
[6,4,7,1,5,3,2,8]=>0000001=>7
[3,4,6,2,1,8,5,7]=>0000000=>8
[4,5,7,2,1,6,3,8]=>0000001=>7
[5,6,4,8,3,2,1,7]=>0000000=>8
[5,7,4,8,2,1,6,3]=>0000000=>8
[4,7,5,8,2,1,6,3]=>0000000=>8
[5,7,4,2,6,3,8,1]=>0000000=>8
[8,5,6,1,7,3,2,4]=>0000000=>8
[4,5,1,6,7,8,3,2]=>0000000=>8
[8,4,6,7,2,5,1,3]=>0000000=>8
[7,1,4,6,8,3,5,2]=>0000000=>8
[6,7,1,2,4,8,5,3]=>0000000=>8
[1,6,3,4,7,8,5,2]=>1000000=>1
[7,8,1,3,4,5,6,2]=>0000000=>8
[1,8,2,6,7,3,4,5]=>1000000=>1
[4,7,3,2,8,1,5,6]=>0000000=>8
[7,1,2,6,3,8,5,4]=>0000000=>8
[8,1,2,6,3,7,5,4]=>0000000=>8
[8,1,2,7,6,3,5,4]=>0000000=>8
[4,8,7,3,1,6,2,5]=>0000000=>8
[4,7,8,3,1,6,2,5]=>0000000=>8
[7,4,3,1,6,2,8,5]=>0000000=>8
[3,7,6,2,4,8,1,5]=>0000000=>8
[4,3,7,2,8,6,1,5]=>0000000=>8
[6,1,2,7,4,3,8,5]=>0000000=>8
[5,1,2,7,3,8,6,4]=>0000000=>8
[6,1,2,7,3,5,8,4]=>0000000=>8
[7,5,3,2,1,8,6,4]=>0000000=>8
[4,2,1,5,3,6,7,8]=>0000111=>5
[8,6,4,3,2,1,9,7,5]=>00000000=>9
[7,5,4,3,2,1,8,6,9]=>00000001=>8
[8,6,4,2,1,9,7,5,3]=>00000000=>9
[7,5,3,2,1,8,6,4,9]=>00000001=>8
[7,4,3,2,1,8,5,9,6]=>00000000=>9
[6,4,3,2,1,7,5,8,9]=>00000011=>7
[7,5,3,1,8,6,4,2,9]=>00000001=>8
[7,4,2,1,8,5,3,9,6]=>00000000=>9
[6,4,2,1,7,5,3,8,9]=>00000011=>7
[6,3,2,1,7,4,8,5,9]=>00000001=>8
[5,3,2,1,6,4,7,8,9]=>00000111=>6
[7,4,1,8,5,2,9,6,3]=>00000000=>9
[6,3,1,7,4,2,8,5,9]=>00000001=>8
[5,3,1,6,4,2,7,8,9]=>00000111=>6
[6,2,1,7,3,8,4,9,5]=>00000000=>9
[5,2,1,6,3,7,4,8,9]=>00000011=>7
[4,2,1,5,3,6,7,8,9]=>00001111=>5
[4,1,5,2,6,3,7,8,9]=>00000111=>6
[3,1,4,2,5,6,7,8,9]=>00011111=>4
[9,7,5,4,3,2,1,10,8,6]=>000000000=>10
[8,6,5,4,3,2,1,9,7,10]=>000000001=>9
[9,7,5,3,2,1,10,8,6,4]=>000000000=>10
[8,6,4,3,2,1,9,7,5,10]=>000000001=>9
[8,5,4,3,2,1,9,6,10,7]=>000000000=>10
[7,5,4,3,2,1,8,6,9,10]=>000000011=>8
[8,6,4,2,1,9,7,5,3,10]=>000000001=>9
[8,5,3,2,1,9,6,4,10,7]=>000000000=>10
[7,5,3,2,1,8,6,4,9,10]=>000000011=>8
[7,4,3,2,1,8,5,9,6,10]=>000000001=>9
[6,4,3,2,1,7,5,8,9,10]=>000000111=>7
[8,5,3,1,9,6,4,2,10,7]=>000000000=>10
[7,5,3,1,8,6,4,2,9,10]=>000000011=>8
[8,5,2,1,9,6,3,10,7,4]=>000000000=>10
[7,4,2,1,8,5,3,9,6,10]=>000000001=>9
[6,4,2,1,7,5,3,8,9,10]=>000000111=>7
[7,3,2,1,8,4,9,5,10,6]=>000000000=>10
[6,3,2,1,7,4,8,5,9,10]=>000000011=>8
[5,3,2,1,6,4,7,8,9,10]=>000001111=>6
[7,4,1,8,5,2,9,6,3,10]=>000000001=>9
[7,3,1,8,4,2,9,5,10,6]=>000000000=>10
[6,3,1,7,4,2,8,5,9,10]=>000000011=>8
[5,3,1,6,4,2,7,8,9,10]=>000001111=>6
[6,2,1,7,3,8,4,9,5,10]=>000000001=>9
[5,2,1,6,3,7,4,8,9,10]=>000000111=>7
[4,2,1,5,3,6,7,8,9,10]=>000011111=>5
[5,1,6,2,7,3,8,4,9,10]=>000000011=>8
[4,1,5,2,6,3,7,8,9,10]=>000001111=>6
[3,1,4,2,5,6,7,8,9,10]=>000111111=>4
[6,2,5,4,1,8,7,3]=>0000000=>8
[4,6,3,2,1,8,7,5]=>0000000=>8
[6,5,3,2,1,8,7,4]=>0000000=>8
[8,4,3,2,7,6,1,5]=>0000000=>8
[1,5,8,4,7,6,3,2]=>1000000=>1
[3,2,7,4,8,6,1,5]=>0000000=>8
[7,4,3,2,8,6,1,5]=>0000000=>8
[6,8,3,7,5,2,1,4]=>0000000=>8
[5,7,8,4,3,2,1,6]=>0000000=>8
[6,4,3,8,5,2,1,7]=>0000000=>8
[8,2,5,4,7,6,1,3]=>0000000=>8
[7,2,5,4,8,6,1,3]=>0000000=>8
[4,5,3,2,8,6,1,7]=>0000000=>8
[3,2,5,4,8,6,1,7]=>0000000=>8
[3,2,8,6,5,4,1,7]=>0000000=>8
[8,4,3,6,5,2,1,7]=>0000000=>8
[8,4,3,7,5,2,1,6]=>0000000=>8
[3,2,7,8,5,4,1,6]=>0000000=>8
[6,8,7,4,3,2,1,5]=>0000000=>8
[3,6,1,4,8,7,2,5]=>0000000=>8
[5,8,1,3,7,2,6,4]=>0000000=>8
[4,7,5,1,8,2,6,3]=>0000000=>8
[6,3,2,1,8,7,4,5]=>0000000=>8
[6,2,3,1,8,7,4,5]=>0000000=>8
[3,4,8,1,7,5,6,2]=>0000000=>8
[7,2,1,5,8,4,6,3]=>0000000=>8
[4,2,8,1,7,5,6,3]=>0000000=>8
[3,7,4,1,5,8,6,2]=>0000000=>8
[5,8,6,1,2,7,4,3]=>0000000=>8
[6,7,1,4,3,8,5,2]=>0000000=>8
[6,8,1,2,4,7,5,3]=>0000000=>8
[8,6,4,1,3,7,5,2]=>0000000=>8
[8,5,3,6,1,7,4,2]=>0000000=>8
[7,2,1,4,5,8,6,3]=>0000000=>8
[8,5,6,1,2,7,4,3]=>0000000=>8
[2,8,4,1,3,6,7,5]=>0000000=>8
[8,1,2,4,5,6,7,3]=>0000000=>8
[1,8,3,6,7,2,4,5]=>1000000=>1
[1,2,8,3,7,4,6,5]=>1100000=>1
[1,9,2,3,4,5,6,7,8,10]=>100000001=>1
[1,7,2,3,4,5,6,8,9]=>10000011=>1
[2,4,1,3,6,5,8,7,10,9,11]=>0001010101=>4
[8,2,6,5,4,3,1,7]=>0000000=>8
[8,2,7,6,4,5,3,1]=>0000000=>8
[8,7,3,5,4,2,6,1]=>0000000=>8
[3,7,8,4,5,1,6,2]=>0000000=>8
[3,6,1,5,7,8,2,4]=>0000000=>8
[3,7,8,5,4,1,6,2]=>0000000=>8
[4,6,5,2,7,8,1,3]=>0000000=>8
[1,6,5,2,3,4,8,7]=>1000010=>1
[4,6,5,1,7,3,8,2]=>0000000=>8
[5,7,3,1,2,4,8,6]=>0000000=>8
[6,3,2,5,1,7,4,8]=>0000001=>7
[6,3,1,7,2,5,8,4]=>0000000=>8
[1,2,3,4,5,6,8,7,9]=>11111101=>1
[1,2,3,4,5,6,7,9,8,10]=>111111101=>1
[1,2,3,4,5,7,6,8,9]=>11111011=>1
[9,2,3,4,5,6,7,1,8]=>00000000=>9
[1,3,5,8,6,4,7,2]=>1000000=>1
[1,3,5,8,6,7,2,4]=>1000000=>1
[6,1,7,4,8,5,3,2]=>0000000=>8
[7,4,3,1,6,5,8,2]=>0000000=>8
[8,6,1,7,5,3,2,4]=>0000000=>8
[7,8,1,4,6,5,3,2]=>0000000=>8
[7,8,6,1,4,5,3,2]=>0000000=>8
[6,2,7,3,8,5,4,1]=>0000000=>8
[1,2,7,5,3,4,8,6]=>1100000=>1
[6,2,7,8,3,1,4,5]=>0000000=>8
[1,2,8,7,3,4,6,5]=>1100000=>1
[8,2,7,4,5,1,6,3]=>0000000=>8
[3,8,1,5,7,2,6,4]=>0000000=>8
[7,5,4,8,6,1,2,3]=>0000000=>8
[7,1,8,6,4,5,2,3]=>0000000=>8
[6,8,4,3,1,7,2,5]=>0000000=>8
[4,8,1,3,7,5,6,2]=>0000000=>8
[2,1,6,8,5,3,4,7]=>0100000=>2
[4,5,1,3,8,6,7,2]=>0000000=>8
[1,2,6,8,5,3,4,7]=>1100000=>1
[6,8,5,7,3,1,2,4]=>0000000=>8
[5,1,4,2,6,8,7,3]=>0000000=>8
[6,3,2,4,7,1,8,5]=>0000000=>8
[5,1,8,6,2,4,3,7]=>0000000=>8
[5,7,6,3,8,1,2,4]=>0000000=>8
[1,2,5,3,6,8,7,4]=>1100000=>1
[6,8,7,2,1,5,3,4]=>0000000=>8
[7,8,1,6,5,3,4,2]=>0000000=>8
[8,7,3,2,1,4,6,5]=>0000000=>8
[5,8,2,6,4,3,7,1]=>0000000=>8
[1,7,2,3,5,8,6,4]=>1000000=>1
[6,4,8,7,2,1,5,3]=>0000000=>8
[1,6,7,8,2,4,3,5]=>1000000=>1
[1,8,5,6,4,3,2,7]=>1000000=>1
[7,6,8,3,2,5,1,4]=>0000000=>8
[2,7,1,4,5,3,8,6]=>0000000=>8
[1,5,2,7,4,3,6,8]=>1000001=>1
[5,1,3,8,4,6,2,7]=>0000000=>8
[6,5,8,7,1,3,2,4]=>0000000=>8
[2,7,3,5,1,6,8,4]=>0000000=>8
[5,7,6,8,2,1,4,3]=>0000000=>8
[1,3,6,5,2,7,4,8]=>1000001=>1
[1,2,6,5,3,4,7,8]=>1100011=>1
[1,7,2,5,6,8,3,4]=>1000000=>1
[1,7,2,4,8,3,5,6]=>1000000=>1
[1,6,2,4,5,3,7,8]=>1000011=>1
[1,3,2,8,4,5,7,6]=>1010000=>1
[1,6,8,2,4,3,5,7]=>1000000=>1
[1,6,7,2,5,3,4,8]=>1000001=>1
[1,2,8,3,6,7,4,5]=>1100000=>1
[1,7,2,5,3,4,8,6]=>1000000=>1
[7,1,5,6,2,3,8,4]=>0000000=>8
[8,2,1,4,6,7,3,5]=>0000000=>8
[7,2,6,1,3,4,8,5]=>0000000=>8
[4,1,3,7,2,5,8,6]=>0000000=>8
[6,2,7,5,1,3,8,4]=>0000000=>8
[1,7,5,6,2,3,8,4]=>1000000=>1
[3,7,6,1,2,4,8,5]=>0000000=>8
[8,6,1,3,5,7,2,4]=>0000000=>8
[1,7,4,3,8,2,5,6]=>1000000=>1
[6,1,5,3,4,8,2,7]=>0000000=>8
[3,6,7,5,2,8,1,4]=>0000000=>8
[7,8,4,1,5,6,2,3]=>0000000=>8
[5,8,1,3,6,7,2,4]=>0000000=>8
[2,8,4,3,7,1,5,6]=>0000000=>8
[3,8,4,6,7,1,2,5]=>0000000=>8
[6,3,8,4,7,1,2,5]=>0000000=>8
[1,2,5,4,8,3,6,7]=>1100000=>1
[7,1,3,8,2,4,5,6]=>0000000=>8
[8,1,3,7,2,4,5,6]=>0000000=>8
[3,5,4,7,8,1,2,6]=>0000000=>8
[8,3,1,4,7,2,5,6]=>0000000=>8
[1,6,4,7,8,2,3,5]=>1000000=>1
[5,2,3,6,7,8,1,4]=>0000000=>8
[6,2,7,3,8,5,1,4]=>0000000=>8
[1,3,7,8,5,6,2,4]=>1000000=>1
[8,2,6,7,5,1,3,4]=>0000000=>8
[8,1,7,4,6,2,3,5]=>0000000=>8
[2,5,8,4,7,1,3,6]=>0000000=>8
[4,5,8,7,1,2,3,6]=>0000000=>8
[4,1,8,5,7,2,3,6]=>0000000=>8
[1,8,7,4,6,2,3,5]=>1000000=>1
[2,6,5,4,1,8,3,7]=>0000000=>8
[8,5,4,1,3,6,7,2]=>0000000=>8
[8,4,7,6,5,3,1,2]=>0000000=>8
[1,8,4,2,3,7,6,5]=>1000000=>1
[2,3,1,8,7,6,4,5]=>0010000=>3
[8,2,7,5,6,4,1,3]=>0000000=>8
[6,8,5,4,1,7,2,3]=>0000000=>8
[8,4,7,2,1,6,5,3]=>0000000=>8
[1,8,4,7,6,5,2,3]=>1000000=>1
[8,2,3,4,5,6,9,1,7]=>00000000=>9
[8,2,3,9,5,6,7,1,4]=>00000000=>9
[8,2,9,4,5,6,7,1,3]=>00000000=>9
[8,9,3,4,5,6,7,1,2]=>00000000=>9
[9,2,3,4,5,6,7,10,1,8]=>000000000=>10
[4,2,3,1,9,8,7,6,5]=>00010000=>4
[9,2,10,4,5,6,7,8,1,3]=>000000000=>10
[3,8,1,2,5,6,4,7]=>0000000=>8
[3,7,1,2,5,6,4,8]=>0000001=>7
[8,5,2,1,4,6,7,3]=>0000000=>8
[4,2,6,3,8,5,7,1]=>0000000=>8
[8,3,5,4,2,7,1,6]=>0000000=>8
[3,1,8,6,5,2,7,4]=>0000000=>8
[3,8,2,4,1,5,7,6]=>0000000=>8
[5,8,3,2,4,1,7,6]=>0000000=>8
[7,2,6,8,4,3,5,1]=>0000000=>8
[6,5,3,2,4,8,1,7]=>0000000=>8
[5,2,4,6,1,3,8,7]=>0000010=>6
[3,7,5,2,8,6,1,4]=>0000000=>8
[2,1,7,5,8,3,6,4]=>0100000=>2
[6,1,5,8,3,7,4,2]=>0000000=>8
[2,6,3,5,8,7,4,1]=>0000000=>8
[8,6,5,3,7,2,1,4]=>0000000=>8
[7,4,8,6,5,3,2,1]=>0000000=>8
[5,1,6,3,8,2,4,7]=>0000000=>8
[3,6,5,1,4,8,7,2]=>0000000=>8
[7,3,6,2,8,4,1,5]=>0000000=>8
[7,5,4,8,1,6,2,3]=>0000000=>8
[4,3,5,8,7,1,2,6]=>0000000=>8
[4,3,5,8,2,1,6,7]=>0000000=>8
[7,8,6,3,1,4,2,5]=>0000000=>8
[6,1,8,4,7,2,3,5]=>0000000=>8
[5,6,4,3,7,1,8,2]=>0000000=>8
[6,5,3,7,2,4,8,1]=>0000000=>8
[5,6,2,8,4,3,7,1]=>0000000=>8
[5,7,4,3,6,8,2,1]=>0000000=>8
[4,6,2,7,8,3,5,1]=>0000000=>8
[4,6,3,5,2,8,7,1]=>0000000=>8
[5,6,3,4,8,2,7,1]=>0000000=>8
[5,2,6,4,1,7,8,3]=>0000000=>8
[5,8,4,6,3,2,7,1]=>0000000=>8
[5,4,3,8,6,2,7,1]=>0000000=>8
[5,7,8,2,4,3,6,1]=>0000000=>8
[5,6,2,4,8,3,7,1]=>0000000=>8
[6,4,7,8,2,3,5,1]=>0000000=>8
[3,7,5,2,4,8,1,6]=>0000000=>8
[4,7,5,2,3,8,6,1]=>0000000=>8
[6,4,7,3,2,5,8,1]=>0000000=>8
[5,7,3,2,8,4,6,1]=>0000000=>8
[5,3,7,2,8,4,6,1]=>0000000=>8
[4,3,7,2,5,8,6,1]=>0000000=>8
[4,7,3,2,5,8,6,1]=>0000000=>8
[4,7,3,2,6,8,5,1]=>0000000=>8
[7,5,3,2,6,4,8,1]=>0000000=>8
[8,5,2,6,7,3,4,1]=>0000000=>8
[8,4,2,6,3,7,5,1]=>0000000=>8
[7,4,6,2,3,8,5,1]=>0000000=>8
[7,5,6,2,8,3,4,1]=>0000000=>8
[5,7,6,2,8,3,4,1]=>0000000=>8
[4,7,6,2,3,8,5,1]=>0000000=>8
[7,6,3,2,5,8,1,4]=>0000000=>8
[7,6,4,2,5,8,3,1]=>0000000=>8
[1,3,2,4,5,6,7,8,9]=>10111111=>1
[1,4,2,3,5,6,7,8,9]=>10011111=>1
[1,3,2,4,5,6,7,8,9,10]=>101111111=>1
[2,4,6,3,8,7,5,1]=>0000000=>8
[2,4,3,6,8,7,1,5]=>0000000=>8
[2,4,6,3,8,7,1,5]=>0000000=>8
[2,4,6,5,8,7,1,3]=>0000000=>8
[2,4,6,8,5,7,3,1]=>0000000=>8
[2,4,6,8,5,7,1,3]=>0000000=>8
[2,4,6,8,3,7,1,5]=>0000000=>8
[2,4,6,8,1,7,3,5]=>0000000=>8
[2,4,6,5,8,3,7,1]=>0000000=>8
[2,4,6,5,8,1,7,3]=>0000000=>8
[2,4,6,8,5,1,7,3]=>0000000=>8
[2,4,6,8,7,3,5,1]=>0000000=>8
[2,4,6,8,7,1,5,3]=>0000000=>8
[2,4,6,8,7,1,3,5]=>0000000=>8
[2,4,6,8,5,1,3,7]=>0000000=>8
[2,4,6,5,3,8,1,7]=>0000000=>8
[2,4,6,5,8,3,1,7]=>0000000=>8
[2,4,6,8,5,3,1,7]=>0000000=>8
[2,4,6,8,7,3,1,5]=>0000000=>8
[2,4,6,8,7,5,1,3]=>0000000=>8
[4,8,7,5,2,1,3,6]=>0000000=>8
[6,1,4,7,5,8,2,3]=>0000000=>8
[1,8,6,5,3,2,7,4]=>1000000=>1
[1,6,3,5,8,2,4,7]=>1000000=>1
[4,6,1,7,8,5,3,2]=>0000000=>8
[6,1,2,7,8,4,5,3]=>0000000=>8
[6,1,3,2,7,8,5,4]=>0000000=>8
[5,6,3,1,7,4,8,2]=>0000000=>8
[4,8,3,7,1,6,5,2]=>0000000=>8
[8,7,2,6,5,1,4,3]=>0000000=>8
[5,8,3,2,1,7,6,4]=>0000000=>8
[5,4,3,8,1,7,6,2]=>0000000=>8
[6,5,3,8,7,1,4,2]=>0000000=>8
[4,3,8,2,7,6,5,1]=>0000000=>8
[4,8,2,7,6,5,3,1]=>0000000=>8
[7,8,2,6,5,4,1,3]=>0000000=>8
[3,8,7,6,2,5,1,4]=>0000000=>8
[4,8,3,7,2,1,6,5]=>0000000=>8
[8,6,3,1,7,5,4,2]=>0000000=>8
[8,6,3,7,1,5,4,2]=>0000000=>8
[4,8,3,7,6,2,5,1]=>0000000=>8
[5,8,2,7,6,4,1,3]=>0000000=>8
[8,4,2,1,7,6,5,3]=>0000000=>8
[1,6,4,2,5,3,7,8]=>1000011=>1
[1,8,6,2,7,3,4,5]=>1000000=>1
[1,6,3,2,4,5,7,8]=>1000011=>1
[1,5,2,6,4,3,7,8]=>1000011=>1
[1,5,2,4,6,3,7,8]=>1000011=>1
[1,8,6,2,3,7,4,5]=>1000000=>1
[1,5,2,8,6,3,4,7]=>1000000=>1
[1,3,6,8,2,7,4,5]=>1000000=>1
[1,4,3,8,2,5,6,7]=>1000000=>1
[1,7,2,3,8,5,4,6]=>1000000=>1
[1,3,8,4,2,5,6,7]=>1000000=>1
[1,6,2,8,5,4,3,7]=>1000000=>1
[1,7,2,3,8,6,4,5]=>1000000=>1
[1,5,3,8,2,7,4,6]=>1000000=>1
[1,4,8,2,5,6,3,7]=>1000000=>1
[1,5,7,3,2,8,4,6]=>1000000=>1
[1,2,7,3,6,8,4,5]=>1100000=>1
[1,7,2,3,6,8,4,5]=>1000000=>1
[1,4,8,3,2,5,6,7]=>1000000=>1
[1,7,2,5,8,3,4,6]=>1000000=>1
[8,2,3,4,5,6,7,9,1]=>00000000=>9
[2,9,3,4,5,6,7,8,1]=>00000000=>9
[2,10,3,4,5,6,7,8,9,1]=>000000000=>10
[1,3,6,7,4,5,8,2]=>1000000=>1
[1,5,6,3,4,2,7,8]=>1000011=>1
[1,5,3,6,4,2,7,8]=>1000011=>1
[1,5,3,7,4,6,2,8]=>1000001=>1
[2,5,7,4,1,3,8,6]=>0000000=>8
[4,6,3,5,8,2,1,7]=>0000000=>8
[7,2,4,8,6,3,1,5]=>0000000=>8
[7,4,5,2,1,8,6,3]=>0000000=>8
[8,5,3,6,2,1,7,4]=>0000000=>8
[4,5,7,3,1,2,8,6]=>0000000=>8
[4,5,1,8,3,2,7,6]=>0000000=>8
[2,5,3,8,4,1,7,6]=>0000000=>8
[6,3,1,2,4,8,7,5]=>0000000=>8
[4,7,5,2,3,6,1,8]=>0000001=>7
[7,2,6,5,3,4,1,8]=>0000001=>7
[8,2,6,5,4,1,3,7]=>0000000=>8
[6,2,8,4,5,1,3,7]=>0000000=>8
[4,5,3,8,2,1,6,7]=>0000000=>8
[3,7,2,1,8,4,6,5]=>0000000=>8
[1,2,6,4,7,5,3,8]=>1100001=>1
[2,6,8,4,7,5,1,3]=>0000000=>8
[1,6,5,7,3,8,4,2]=>1000000=>1
[7,8,6,1,4,3,2,5]=>0000000=>8
[2,4,7,8,6,1,3,5]=>0000000=>8
[4,6,2,5,3,1,7,8]=>0000011=>6
[4,1,5,6,3,2,7,8]=>0000011=>6
[6,8,5,3,7,2,1,4]=>0000000=>8
[4,7,1,5,8,2,6,3]=>0000000=>8
[7,3,4,8,5,2,1,6]=>0000000=>8
[4,5,2,3,8,6,7,1]=>0000000=>8
[6,7,4,8,5,3,2,1]=>0000000=>8
[4,1,2,8,5,7,6,3]=>0000000=>8
[3,1,4,6,7,5,8,2]=>0000000=>8
[2,6,4,5,8,1,3,7]=>0000000=>8
[6,4,1,3,5,8,2,7]=>0000000=>8
[3,4,1,7,2,6,8,5]=>0000000=>8
[2,4,7,5,8,1,3,6]=>0000000=>8
[3,1,6,4,8,7,5,2]=>0000000=>8
[4,2,6,1,3,7,8,5]=>0000000=>8
[8,5,4,2,7,6,3,1]=>0000000=>8
[2,8,4,6,7,1,3,5]=>0000000=>8
[5,8,2,1,4,6,7,3]=>0000000=>8
[2,6,7,1,3,5,8,4]=>0000000=>8
[3,6,7,1,8,2,5,4]=>0000000=>8
[3,1,5,7,2,8,6,4]=>0000000=>8
[3,8,1,4,7,2,6,5]=>0000000=>8
[4,8,1,3,2,7,6,5]=>0000000=>8
[4,1,8,3,2,7,6,5]=>0000000=>8
[4,3,8,1,2,7,6,5]=>0000000=>8
[3,8,4,2,7,1,6,5]=>0000000=>8
[2,8,4,3,7,6,1,5]=>0000000=>8
[3,8,2,4,7,1,6,5]=>0000000=>8
[3,2,4,8,7,1,6,5]=>0000000=>8
[3,2,5,7,1,8,6,4]=>0000000=>8
[4,2,8,3,1,7,6,5]=>0000000=>8
[4,8,2,1,3,7,6,5]=>0000000=>8
[4,2,8,1,3,7,6,5]=>0000000=>8
[2,3,4,6,8,7,1,5]=>0000000=>8
[4,5,1,7,6,8,2,3]=>0000000=>8
[6,7,2,8,3,1,4,5]=>0000000=>8
[6,2,7,8,4,1,3,5]=>0000000=>8
[6,3,7,8,4,1,2,5]=>0000000=>8
[7,6,2,3,1,8,4,5]=>0000000=>8
[3,4,1,7,8,5,2,6]=>0000000=>8
[4,5,1,3,2,7,8,6]=>0000100=>5
[2,3,7,8,5,4,1,6]=>0000000=>8
[8,3,5,6,1,7,2,4]=>0000000=>8
[4,5,8,1,2,6,7,3]=>0000000=>8
[5,3,6,7,8,2,1,4]=>0000000=>8
[1,3,4,8,6,2,7,5]=>1000000=>1
[4,6,8,2,3,7,5,1]=>0000000=>8
[4,5,7,2,3,6,1,8]=>0000001=>7
[2,7,3,4,1,5,6,8]=>0000001=>7
[4,2,6,3,5,7,8,1]=>0000000=>8
[2,3,4,5,6,1,8,7,9]=>00000101=>6
[2,3,4,5,1,7,6,8,9]=>00001011=>5
[2,3,4,1,6,5,7,8,9]=>00010111=>4
[2,3,1,5,4,6,7,8,9]=>00101111=>3
[1,4,8,5,6,2,7,3]=>1000000=>1
[2,8,7,4,5,1,6,3]=>0000000=>8
[1,3,8,5,2,6,7,4]=>1000000=>1
[7,2,8,4,5,1,6,3]=>0000000=>8
[8,6,2,4,1,5,7,3]=>0000000=>8
[1,6,4,3,2,7,8,5]=>1000000=>1
[8,5,3,2,1,6,7,4]=>0000000=>8
[7,1,5,2,3,6,8,4]=>0000000=>8
[8,1,2,5,3,6,7,4]=>0000000=>8
[8,4,1,6,3,7,2,5]=>0000000=>8
[5,2,6,8,3,7,1,4]=>0000000=>8
[4,2,5,8,6,7,1,3]=>0000000=>8
[3,7,2,4,1,8,6,5]=>0000000=>8
[2,4,7,8,5,1,3,6]=>0000000=>8
[3,1,7,4,5,6,2,8]=>0000001=>7
[2,4,8,3,5,7,1,6]=>0000000=>8
[8,1,7,2,4,3,5,6]=>0000000=>8
[1,3,8,2,4,7,5,6]=>1000000=>1
[1,3,7,2,4,6,5,8]=>1000001=>1
[1,7,3,2,4,6,5,8]=>1000001=>1
[1,8,3,7,4,2,5,6]=>1000000=>1
[8,7,3,1,4,2,5,6]=>0000000=>8
[2,8,4,3,5,7,1,6]=>0000000=>8
[3,2,8,7,4,1,5,6]=>0000000=>8
[3,2,1,7,4,6,5,8]=>0010001=>3
[3,2,6,5,1,7,8,4]=>0000000=>8
[5,3,2,6,7,1,8,4]=>0000000=>8
[3,2,8,6,7,4,1,5]=>0000000=>8
[8,4,6,2,7,3,1,5]=>0000000=>8
[4,3,8,6,7,2,1,5]=>0000000=>8
[4,3,6,2,8,7,1,5]=>0000000=>8
[3,8,4,7,6,5,1,2]=>0000000=>8
[7,8,4,2,6,3,5,1]=>0000000=>8
[3,2,7,8,6,4,5,1]=>0000000=>8
[3,2,7,5,6,8,4,1]=>0000000=>8
[5,7,8,6,3,2,4,1]=>0000000=>8
[6,5,4,2,1,7,8,3]=>0000000=>8
[5,4,2,1,7,6,3,8]=>0000001=>7
[4,1,6,5,2,7,8,3]=>0000000=>8
[5,4,1,6,7,2,8,3]=>0000000=>8
[6,8,5,3,1,7,2,4]=>0000000=>8
[5,2,6,3,8,7,1,4]=>0000000=>8
[8,6,1,7,3,4,2,5]=>0000000=>8
[1,8,3,6,7,4,2,5]=>1000000=>1
[1,6,3,5,2,7,8,4]=>1000000=>1
[1,5,7,3,2,6,4,8]=>1000001=>1
[5,1,3,7,2,6,4,8]=>0000001=>7
[8,1,6,7,2,4,3,5]=>0000000=>8
[6,1,4,8,2,7,3,5]=>0000000=>8
[6,2,4,8,3,7,1,5]=>0000000=>8
[8,7,2,6,3,5,1,4]=>0000000=>8
[8,1,7,6,5,2,3,4]=>0000000=>8
[7,1,5,6,8,2,4,3]=>0000000=>8
[6,7,1,5,2,4,8,3]=>0000000=>8
[7,6,1,5,2,4,3,8]=>0000001=>7
[7,1,6,3,5,4,2,8]=>0000001=>7
[1,6,7,3,5,4,8,2]=>1000000=>1
[1,7,3,5,6,8,4,2]=>1000000=>1
[1,7,8,3,6,4,5,2]=>1000000=>1
[1,8,7,6,4,5,2,3]=>1000000=>1
[8,2,7,4,6,5,1,3]=>0000000=>8
[2,8,5,7,6,4,1,3]=>0000000=>8
[7,4,5,1,6,8,3,2]=>0000000=>8
[4,1,7,5,6,8,3,2]=>0000000=>8
[5,6,7,4,3,1,8,2]=>0000000=>8
[6,7,8,5,3,1,4,2]=>0000000=>8
[1,4,6,2,5,3,7,8]=>1000011=>1
[1,6,3,2,5,4,7,8]=>1000011=>1
[1,6,8,2,5,4,7,3]=>1000000=>1
[1,5,4,2,6,3,7,8]=>1000011=>1
[1,2,6,4,3,5,7,8]=>1100011=>1
[1,6,8,2,7,5,4,3]=>1000000=>1
[1,7,4,3,2,6,8,5]=>1000000=>1
[1,5,4,7,2,6,8,3]=>1000000=>1
[1,3,7,6,2,8,5,4]=>1000000=>1
[1,7,6,2,8,4,3,5]=>1000000=>1
[1,5,2,8,4,3,7,6]=>1000000=>1
[1,2,8,4,3,6,5,7]=>1100000=>1
[1,2,8,5,6,3,4,7]=>1100000=>1
[1,7,3,5,2,8,6,4]=>1000000=>1
[1,6,7,2,5,8,4,3]=>1000000=>1
[1,5,8,3,2,7,4,6]=>1000000=>1
[1,4,5,8,2,6,3,7]=>1000000=>1
[1,7,6,4,8,2,5,3]=>1000000=>1
[1,4,8,6,5,2,7,3]=>1000000=>1
[1,3,8,2,6,5,4,7]=>1000000=>1
[1,7,6,3,8,2,4,5]=>1000000=>1
[1,5,2,7,6,4,8,3]=>1000000=>1
[1,2,4,3,8,7,5,6]=>1101000=>1
[1,4,3,8,7,2,5,6]=>1000000=>1
[1,3,8,6,2,4,5,7]=>1000000=>1
[1,3,8,5,4,2,6,7]=>1000000=>1
[1,7,2,4,8,6,5,3]=>1000000=>1
[1,6,5,3,2,8,7,4]=>1000000=>1
[1,3,2,8,7,5,4,6]=>1010000=>1
[1,2,8,6,5,4,3,7]=>1100000=>1
[8,5,3,2,1,6,4,7]=>0000000=>8
[7,6,8,4,1,3,2,5]=>0000000=>8
[8,7,6,1,5,2,3,4]=>0000000=>8
[8,7,5,1,3,6,2,4]=>0000000=>8
[7,4,8,2,6,3,1,5]=>0000000=>8
[8,7,3,1,6,4,5,2]=>0000000=>8
[8,7,3,1,4,6,5,2]=>0000000=>8
[8,7,3,1,6,2,5,4]=>0000000=>8
[7,8,2,4,6,5,1,3]=>0000000=>8
[8,7,3,2,6,1,5,4]=>0000000=>8
[1,8,6,4,2,9,7,5,3]=>10000000=>1
[8,4,6,7,5,3,2,1]=>0000000=>8
[1,4,8,6,7,5,3,2]=>1000000=>1
[7,1,3,6,8,5,4,2]=>0000000=>8
[1,8,3,6,7,5,4,2]=>1000000=>1
[8,1,7,6,4,5,3,2]=>0000000=>8
[1,6,2,7,4,5,3,8]=>1000001=>1
[1,8,2,6,4,3,5,7]=>1000000=>1
[1,7,2,6,4,3,5,8]=>1000001=>1
[1,7,2,5,4,6,3,8]=>1000001=>1
[6,7,2,5,8,1,4,3]=>0000000=>8
[6,5,7,3,8,1,4,2]=>0000000=>8
[6,3,7,4,8,2,5,1]=>0000000=>8
[6,3,7,4,8,1,5,2]=>0000000=>8
[6,2,7,4,8,1,5,3]=>0000000=>8
[7,2,1,5,3,8,6,4]=>0000000=>8
[5,8,2,7,6,1,3,4]=>0000000=>8
[8,2,3,6,7,1,4,5]=>0000000=>8
[4,2,3,1,5,8,6,7]=>0001100=>4
[8,6,5,4,3,2,1,7,9]=>00000001=>8
[3,1,2,4,5,6,7,8,9,10]=>001111111=>3
[9,7,6,5,4,3,2,1,8,10]=>000000001=>9
[2,4,8,7,5,3,1,6]=>0000000=>8
[4,6,8,7,5,3,1,2]=>0000000=>8
[4,8,7,3,1,2,6,5]=>0000000=>8
[8,7,3,2,6,5,1,4]=>0000000=>8
[2,8,7,1,6,5,3,4]=>0000000=>8
[2,8,7,1,4,3,6,5]=>0000000=>8
[2,4,3,1,8,7,5,6]=>0001000=>4
[4,3,1,2,6,8,7,5]=>0001000=>4
[2,6,8,7,5,1,4,3]=>0000000=>8
[2,4,8,7,3,6,5,1]=>0000000=>8
[8,7,2,4,3,6,5,1]=>0000000=>8
[1,9,2,3,4,5,6,8,7]=>10000000=>1
[7,1,2,6,4,5,3,8]=>0000001=>7
[1,10,2,3,4,5,6,7,9,8]=>100000000=>1
[4,7,3,6,5,1,2,8]=>0000001=>7
[7,5,4,2,8,3,1,6]=>0000000=>8
[8,3,6,1,5,2,4,7]=>0000000=>8
[3,1,6,8,5,7,2,4]=>0000000=>8
[7,2,8,6,4,3,1,5]=>0000000=>8
[6,3,8,7,4,2,1,5]=>0000000=>8
[7,6,3,2,8,4,1,5]=>0000000=>8
[5,8,3,7,4,2,1,6]=>0000000=>8
[4,1,7,3,5,8,6,2]=>0000000=>8
[8,4,7,3,5,2,1,6]=>0000000=>8
[5,4,8,1,3,2,6,7]=>0000000=>8
[4,5,8,2,1,3,6,7]=>0000000=>8
[1,8,3,5,7,2,4,6]=>1000000=>1
[1,3,4,5,6,7,8,2,9]=>10000001=>1
[1,3,4,5,6,7,8,10,2,9]=>100000000=>1
[2,1,4,5,6,7,9,3,8]=>01000000=>2
[2,1,4,5,6,7,8,3,9]=>01000001=>2
[1,3,4,5,6,7,8,9,2,10]=>100000001=>1
[1,2,4,7,8,5,3,6]=>1100000=>1
[5,1,7,3,6,8,2,4]=>0000000=>8
[5,8,6,1,7,3,2,4]=>0000000=>8
[2,1,3,8,6,5,4,7]=>0110000=>2
[1,3,2,8,6,5,4,7]=>1010000=>1
[2,5,7,1,8,4,3,6]=>0000000=>8
[3,5,7,1,6,8,2,4]=>0000000=>8
[5,4,7,6,8,3,1,2]=>0000000=>8
[1,3,9,8,7,6,5,4,2]=>10000000=>1
[1,5,8,4,3,7,6,2]=>1000000=>1
[8,1,7,2,5,6,4,3]=>0000000=>8
[8,1,3,5,2,7,6,4]=>0000000=>8
[2,7,1,5,4,8,6,3]=>0000000=>8
[8,6,2,4,3,7,5,1]=>0000000=>8
[2,4,1,6,7,5,8,3]=>0000000=>8
[8,1,4,5,6,3,7,2]=>0000000=>8
[8,1,4,5,6,2,7,3]=>0000000=>8
[8,1,4,7,6,2,5,3]=>0000000=>8
[2,5,1,7,8,6,4,3]=>0000000=>8
[3,5,6,2,8,7,4,1]=>0000000=>8
[2,4,5,1,7,6,3,8]=>0000001=>7
[7,3,1,5,6,4,2,8]=>0000001=>7
[8,3,2,5,6,7,1,4]=>0000000=>8
[8,4,5,3,7,6,2,1]=>0000000=>8
[3,4,5,6,2,8,1,7]=>0000000=>8
[3,7,4,2,8,5,1,6]=>0000000=>8
[7,3,4,1,6,8,2,5]=>0000000=>8
[2,6,3,1,4,7,5,8]=>0000001=>7
[7,2,1,6,3,4,8,5]=>0000000=>8
[7,3,4,1,6,5,8,2]=>0000000=>8
[3,7,4,2,5,8,6,1]=>0000000=>8
[2,3,5,1,4,8,7,6]=>0000100=>5
[2,7,1,3,6,8,5,4]=>0000000=>8
[2,7,1,3,8,4,6,5]=>0000000=>8
[3,8,7,1,6,2,5,4]=>0000000=>8
[3,8,7,1,4,5,2,6]=>0000000=>8
[3,7,4,2,1,8,6,5]=>0000000=>8
[4,8,5,7,2,6,3,1]=>0000000=>8
[8,4,5,7,3,2,6,1]=>0000000=>8
[8,3,7,2,4,1,5,6]=>0000000=>8
[8,6,7,2,1,4,3,5]=>0000000=>8
[8,3,7,5,1,2,6,4]=>0000000=>8
[7,3,4,6,2,1,5,8]=>0000001=>7
[3,7,4,6,1,5,2,8]=>0000001=>7
[3,4,7,6,1,2,8,5]=>0000000=>8
[4,5,8,7,6,1,3,2]=>0000000=>8
[8,7,3,5,6,1,4,2]=>0000000=>8
[8,5,2,7,6,1,3,4]=>0000000=>8
[6,4,7,2,1,5,8,3]=>0000000=>8
[8,5,3,1,6,4,7,2]=>0000000=>8
[8,6,4,1,7,5,2,3]=>0000000=>8
[8,5,3,7,1,6,4,2]=>0000000=>8
[7,6,3,8,1,4,2,5]=>0000000=>8
[7,4,8,2,6,1,5,3]=>0000000=>8
[6,4,7,3,1,5,2,8]=>0000001=>7
[8,5,3,1,6,4,2,7]=>0000000=>8
[8,7,4,1,2,5,3,6]=>0000000=>8
[6,5,3,7,4,2,1,8]=>0000001=>7
[1,6,3,8,4,2,5,7]=>1000000=>1
[4,7,2,5,3,6,1,8]=>0000001=>7
[1,8,3,4,5,2,6,7]=>1000000=>1
[1,8,6,4,2,5,3,7]=>1000000=>1
[8,2,6,4,1,5,7,3]=>0000000=>8
[7,8,3,4,6,1,5,2]=>0000000=>8
[4,8,7,5,3,1,6,2]=>0000000=>8
[6,1,4,8,3,2,5,7]=>0000000=>8
[4,1,8,5,3,2,6,7]=>0000000=>8
[8,1,6,4,2,7,3,5]=>0000000=>8
[3,1,7,4,2,5,8,6]=>0000000=>8
[1,2,7,4,3,5,6,8]=>1100001=>1
[6,1,8,5,2,4,3,7]=>0000000=>8
[6,8,2,5,1,4,7,3]=>0000000=>8
[4,5,2,1,6,8,7,3]=>0000000=>8
[7,2,8,6,5,1,4,3]=>0000000=>8
[7,4,8,6,1,5,3,2]=>0000000=>8
[8,7,2,6,1,4,5,3]=>0000000=>8
[1,7,8,6,2,4,3,5]=>1000000=>1
[7,6,3,1,2,5,4,8]=>0000001=>7
[8,5,3,1,2,4,7,6]=>0000000=>8
[8,2,1,6,5,3,4,7]=>0000000=>8
[3,8,1,5,6,2,4,7]=>0000000=>8
[6,8,4,1,5,2,3,7]=>0000000=>8
[3,2,8,1,6,4,5,7]=>0000000=>8
[5,2,1,3,7,6,4,8]=>0000001=>7
[5,4,1,2,8,3,7,6]=>0000000=>8
[5,8,4,1,2,3,7,6]=>0000000=>8
[7,1,2,5,3,4,6,8]=>0000001=>7
[1,6,7,3,2,8,4,5]=>1000000=>1
[1,4,6,2,8,5,3,7]=>1000000=>1
[1,5,6,2,8,4,3,7]=>1000000=>1
[3,4,8,6,5,7,2,1]=>0000000=>8
[1,2,5,7,4,6,8,3]=>1100000=>1
[1,2,4,7,6,8,3,5]=>1100000=>1
[3,5,8,6,1,7,2,4]=>0000000=>8
[3,2,1,6,8,4,7,5]=>0010000=>3
[1,6,8,5,4,2,7,3]=>1000000=>1
[6,5,8,4,2,1,7,3]=>0000000=>8
[1,7,8,6,5,4,2,3]=>1000000=>1
[6,8,7,4,5,1,3,2]=>0000000=>8
[5,7,1,2,3,8,6,4]=>0000000=>8
[7,4,6,2,8,1,5,3]=>0000000=>8
[7,6,4,8,2,1,5,3]=>0000000=>8
[6,1,8,4,2,3,5,7]=>0000000=>8
[7,3,6,2,1,8,5,4]=>0000000=>8
[5,6,2,1,8,4,7,3]=>0000000=>8
[2,8,1,6,5,7,3,4]=>0000000=>8
[5,1,6,4,3,8,7,2]=>0000000=>8
[5,4,6,8,1,3,7,2]=>0000000=>8
[3,5,2,1,4,6,7,8]=>0000111=>5
[1,3,8,7,5,4,6,2]=>1000000=>1
[1,2,3,4,5,7,9,8,6]=>11111000=>1
[1,2,3,4,6,7,9,8,5]=>11110000=>1
[1,2,3,4,6,8,9,7,5]=>11110000=>1
[1,2,3,4,6,9,8,7,5]=>11110000=>1
[1,2,3,5,6,7,9,8,4]=>11100000=>1
[1,2,3,5,6,8,9,7,4]=>11100000=>1
[1,2,3,5,6,9,8,7,4]=>11100000=>1
[1,2,3,5,7,9,8,6,4]=>11100000=>1
[1,2,3,5,9,8,7,6,4]=>11100000=>1
[1,2,4,5,7,8,9,6,3]=>11000000=>1
[1,2,4,5,7,9,8,6,3]=>11000000=>1
[1,2,4,5,9,8,7,6,3]=>11000000=>1
[1,2,4,6,9,8,7,5,3]=>11000000=>1
[1,2,4,9,8,7,6,5,3]=>11000000=>1
[1,3,5,7,9,8,6,4,2]=>10000000=>1
[1,3,5,9,8,7,6,4,2]=>10000000=>1
[1,2,3,4,5,6,8,10,9,7]=>111111000=>1
[1,2,3,4,5,7,8,10,9,6]=>111110000=>1
[1,2,3,4,5,7,9,10,8,6]=>111110000=>1
[1,2,3,4,5,7,10,9,8,6]=>111110000=>1
[1,2,3,4,6,7,8,10,9,5]=>111100000=>1
[1,2,3,4,6,7,9,10,8,5]=>111100000=>1
[1,2,3,4,6,7,10,9,8,5]=>111100000=>1
[1,2,3,4,6,8,10,9,7,5]=>111100000=>1
[1,2,3,4,6,10,9,8,7,5]=>111100000=>1
[1,2,3,5,6,7,9,10,8,4]=>111000000=>1
[1,2,3,5,6,7,10,9,8,4]=>111000000=>1
[1,2,3,5,6,8,9,10,7,4]=>111000000=>1
[1,2,3,5,6,8,10,9,7,4]=>111000000=>1
[1,2,3,5,6,10,9,8,7,4]=>111000000=>1
[1,2,3,5,7,9,10,8,6,4]=>111000000=>1
[1,2,3,5,7,10,9,8,6,4]=>111000000=>1
[1,2,3,5,10,9,8,7,6,4]=>111000000=>1
[1,2,4,5,7,8,10,9,6,3]=>110000000=>1
[1,2,4,5,7,9,10,8,6,3]=>110000000=>1
[1,2,4,5,7,10,9,8,6,3]=>110000000=>1
[1,2,4,5,10,9,8,7,6,3]=>110000000=>1
[1,2,4,6,10,9,8,7,5,3]=>110000000=>1
[1,2,4,10,9,8,7,6,5,3]=>110000000=>1
[1,3,5,7,9,10,8,6,4,2]=>100000000=>1
[1,3,5,7,10,9,8,6,4,2]=>100000000=>1
[1,3,5,10,9,8,7,6,4,2]=>100000000=>1
[1,3,10,9,8,7,6,5,4,2]=>100000000=>1
[6,7,3,4,8,5,1,2]=>0000000=>8
[7,3,1,6,2,8,5,4]=>0000000=>8
[4,8,2,5,3,1,6,7]=>0000000=>8
[5,1,3,4,8,2,6,7]=>0000000=>8
[6,3,4,7,1,8,5,2]=>0000000=>8
[7,8,5,1,3,4,6,2]=>0000000=>8
[1,8,3,5,6,2,7,4]=>1000000=>1
[4,2,5,1,6,8,7,3]=>0000000=>8
[5,4,2,7,8,6,1,3]=>0000000=>8
[6,8,7,2,1,3,4,5]=>0000000=>8
[3,7,6,8,5,2,4,1]=>0000000=>8
[1,7,8,5,2,6,3,4]=>1000000=>1
[7,6,1,2,5,3,8,4]=>0000000=>8
[7,6,2,4,8,1,5,3]=>0000000=>8
[1,5,7,3,8,6,2,4]=>1000000=>1
[4,3,2,8,7,1,6,5]=>0000000=>8
[4,8,3,1,7,6,5,2]=>0000000=>8
[5,3,8,7,1,6,4,2]=>0000000=>8
[5,8,7,3,1,6,4,2]=>0000000=>8
[5,3,8,2,1,7,6,4]=>0000000=>8
[3,8,7,2,6,5,1,4]=>0000000=>8
[7,4,1,8,6,5,3,2]=>0000000=>8
[5,4,2,8,1,7,6,3]=>0000000=>8
[5,8,4,2,1,7,6,3]=>0000000=>8
[5,8,4,7,1,6,3,2]=>0000000=>8
[5,4,8,3,1,7,6,2]=>0000000=>8
[8,5,6,1,4,7,2,3]=>0000000=>8
[6,7,4,1,2,5,8,3]=>0000000=>8
[1,6,7,4,2,5,8,3]=>1000000=>1
[3,6,7,5,8,1,2,4]=>0000000=>8
[3,8,6,5,7,4,1,2]=>0000000=>8
[6,5,8,7,4,2,3,1]=>0000000=>8
[6,8,5,7,4,2,1,3]=>0000000=>8
[4,7,5,3,6,1,2,8]=>0000001=>7
[4,7,5,3,1,6,2,8]=>0000001=>7
[2,7,5,3,6,4,8,1]=>0000000=>8
[4,7,5,3,8,1,6,2]=>0000000=>8
[2,7,5,8,6,3,4,1]=>0000000=>8
[2,7,5,6,8,3,4,1]=>0000000=>8
[2,7,5,6,8,3,1,4]=>0000000=>8
[4,7,5,3,6,8,1,2]=>0000000=>8
[8,7,5,3,1,4,6,2]=>0000000=>8
[5,7,6,1,8,3,2,4]=>0000000=>8
[6,1,7,2,8,4,3,5]=>0000000=>8
[6,1,7,3,8,5,2,4]=>0000000=>8
[7,1,8,3,2,5,4,6]=>0000000=>8
[2,4,6,7,8,5,1,3]=>0000000=>8
[2,4,6,7,8,3,1,5]=>0000000=>8
[4,6,5,8,7,3,1,2]=>0000000=>8
[4,5,1,2,8,7,3,6]=>0000000=>8
[5,8,7,1,6,2,4,3]=>0000000=>8
[8,4,5,1,7,6,2,3]=>0000000=>8
[6,3,1,4,8,2,7,5]=>0000000=>8
[8,5,6,1,7,2,4,3]=>0000000=>8
[7,5,6,1,3,8,4,2]=>0000000=>8
[5,7,6,1,3,8,4,2]=>0000000=>8
[6,7,1,4,2,8,5,3]=>0000000=>8
[2,1,6,4,8,3,7,5]=>0100000=>2
[7,4,5,1,3,8,6,2]=>0000000=>8
[1,5,7,8,4,2,3,6]=>1000000=>1
[1,3,6,4,2,5,7,8]=>1000011=>1
[1,4,5,7,8,3,6,2]=>1000000=>1
[1,5,7,8,3,6,2,4]=>1000000=>1
[1,5,7,8,2,4,3,6]=>1000000=>1
[6,8,4,7,3,2,1,5]=>0000000=>8
[6,8,5,4,2,7,1,3]=>0000000=>8
[1,8,4,6,3,2,7,5]=>1000000=>1
[3,5,6,1,4,2,7,8]=>0000011=>6
[1,6,3,8,4,2,7,5]=>1000000=>1
[2,6,5,7,8,3,1,4]=>0000000=>8
[4,1,8,2,6,7,5,3]=>0000000=>8
[3,6,7,8,2,1,4,5]=>0000000=>8
[2,5,7,1,6,3,4,8]=>0000001=>7
[4,2,8,3,6,5,1,7]=>0000000=>8
[6,3,8,7,2,4,5,1]=>0000000=>8
[2,4,5,7,1,8,6,3]=>0000000=>8
[8,1,6,2,3,4,7,5]=>0000000=>8
[6,1,4,2,5,7,8,3]=>0000000=>8
[6,5,1,2,3,7,8,9,4]=>00000000=>9
[1,8,3,4,5,2,7,6]=>1000000=>1
[1,8,3,6,4,7,2,5]=>1000000=>1
[1,4,7,2,5,6,3,8]=>1000001=>1
[7,3,5,8,2,6,1,4]=>0000000=>8
[3,4,8,6,7,2,1,5]=>0000000=>8
[3,4,8,2,5,1,7,6]=>0000000=>8
[1,7,2,5,8,4,3,6]=>1000000=>1
[1,4,6,7,8,3,5,2]=>1000000=>1
[4,1,5,3,6,8,7,2]=>0000000=>8
[5,8,7,4,6,2,3,1]=>0000000=>8
[6,4,8,1,5,7,3,2]=>0000000=>8
[1,6,8,3,5,2,7,4]=>1000000=>1
[7,2,1,8,6,4,5,3]=>0000000=>8
[2,4,7,8,5,6,1,3]=>0000000=>8
[2,8,5,4,1,3,7,6]=>0000000=>8
[5,4,6,3,1,7,2,8]=>0000001=>7
[1,5,6,8,7,3,2,4]=>1000000=>1
[1,4,8,3,6,5,2,7]=>1000000=>1
[1,2,8,6,4,3,7,5]=>1100000=>1
[1,8,4,7,6,2,3,5]=>1000000=>1
[6,5,1,8,7,2,4,3]=>0000000=>8
[6,1,2,8,7,3,4,5]=>0000000=>8
[6,5,1,8,7,4,3,2]=>0000000=>8
[7,5,1,8,6,4,3,2]=>0000000=>8
[8,5,1,7,6,4,3,2]=>0000000=>8
[8,5,3,7,6,1,4,2]=>0000000=>8
[3,8,7,6,1,5,4,2]=>0000000=>8
[8,3,7,5,4,1,6,2]=>0000000=>8
[1,5,8,6,2,7,4,3]=>1000000=>1
[3,1,8,5,7,2,6,4]=>0000000=>8
[8,5,2,6,1,4,7,3]=>0000000=>8
[2,7,5,8,1,4,6,3]=>0000000=>8
[3,2,6,7,1,8,5,4]=>0000000=>8
[3,4,6,7,8,2,1,5]=>0000000=>8
[6,2,7,4,8,5,1,3]=>0000000=>8
[6,7,1,3,8,5,4,2]=>0000000=>8
[1,2,6,7,8,5,3,4]=>1100000=>1
[1,6,7,4,8,3,2,5]=>1000000=>1
[1,4,6,7,8,3,2,5]=>1000000=>1
[3,5,7,9,1,2,4,6,8,10]=>000000001=>9
[4,1,2,3,5,6,7,8,9,10]=>000111111=>4
[5,1,2,3,4,6,7,8,9,10]=>000011111=>5
[8,1,2,3,4,5,6,7,9,10]=>000000011=>8
[7,1,2,3,4,5,6,8,9,10]=>000000111=>7
[6,1,2,3,4,5,7,8,9,10]=>000001111=>6
[3,2,6,4,8,7,5,1]=>0000000=>8
[4,7,2,8,6,5,1,3]=>0000000=>8
[4,7,1,8,6,5,3,2]=>0000000=>8
[2,7,4,8,3,6,1,5]=>0000000=>8
[4,7,3,8,6,1,5,2]=>0000000=>8
[4,3,6,8,7,2,5,1]=>0000000=>8
[4,3,8,2,5,7,6,1]=>0000000=>8
[4,1,2,6,8,7,5,3]=>0000000=>8
[3,1,6,4,8,7,2,5]=>0000000=>8
[4,1,6,8,7,5,2,3]=>0000000=>8
[3,8,1,4,5,7,2,6]=>0000000=>8
[3,8,1,4,2,5,7,6]=>0000000=>8
[4,1,8,3,5,2,7,6]=>0000000=>8
[3,8,1,2,5,4,7,6]=>0000000=>8
[4,2,3,6,8,7,1,5]=>0000000=>8
[4,2,8,3,5,1,7,6]=>0000000=>8
[4,2,8,3,5,7,6,1]=>0000000=>8
[3,8,2,4,5,7,6,1]=>0000000=>8
[3,8,2,5,1,4,7,6]=>0000000=>8
[4,2,8,5,7,1,3,6]=>0000000=>8
[3,8,1,5,2,4,7,6]=>0000000=>8
[7,3,2,1,4,6,5,8]=>0000001=>7
[2,7,1,3,5,6,8,4]=>0000000=>8
[2,3,6,1,5,8,7,4]=>0000000=>8
[4,8,5,3,2,6,7,1]=>0000000=>8
[6,4,1,8,5,2,7,3]=>0000000=>8
[2,6,1,8,5,4,7,3]=>0000000=>8
[3,7,6,4,8,5,2,1]=>0000000=>8
[3,1,6,8,5,4,7,2]=>0000000=>8
[2,3,5,8,4,6,7,1]=>0000000=>8
[6,2,1,7,8,5,4,3]=>0000000=>8
[7,5,6,1,2,3,8,4]=>0000000=>8
[1,5,7,6,3,2,8,4]=>1000000=>1
[8,4,6,2,3,1,5,7]=>0000000=>8
[7,5,2,1,4,3,8,6]=>0000000=>8
[3,1,7,8,5,4,2,6]=>0000000=>8
[7,6,4,8,3,1,2,5]=>0000000=>8
[7,4,8,5,6,1,2,3]=>0000000=>8
[6,2,8,5,1,3,4,7]=>0000000=>8
[3,2,7,8,6,1,4,5]=>0000000=>8
[6,8,2,5,1,3,7,4]=>0000000=>8
[6,7,4,2,1,5,3,8]=>0000001=>7
[5,7,4,1,3,6,2,8]=>0000001=>7
[4,2,7,5,1,8,3,6]=>0000000=>8
[4,1,6,5,3,8,2,7]=>0000000=>8
[1,5,4,6,3,8,2,7]=>1000000=>1
[1,8,6,4,7,3,2,5]=>1000000=>1
[4,7,1,8,6,3,5,2]=>0000000=>8
[5,4,8,1,7,3,6,2]=>0000000=>8
[4,3,8,6,2,1,7,5]=>0000000=>8
[8,3,6,2,4,1,7,5]=>0000000=>8
[7,8,3,2,4,6,5,1]=>0000000=>8
[7,2,8,5,3,1,6,4]=>0000000=>8
[2,5,4,8,7,3,6,1]=>0000000=>8
[6,4,2,8,7,3,1,5]=>0000000=>8
[3,6,8,1,7,4,2,5]=>0000000=>8
[7,8,6,3,1,4,5,2]=>0000000=>8
[3,8,6,1,7,5,2,4]=>0000000=>8
[2,7,5,4,8,3,1,6]=>0000000=>8
[6,8,7,5,2,1,3,4]=>0000000=>8
[7,6,2,8,5,1,3,4]=>0000000=>8
[1,5,7,6,2,8,4,3]=>1000000=>1
[1,6,5,2,7,8,4,3]=>1000000=>1
[2,7,8,5,6,1,4,3]=>0000000=>8
[6,7,8,4,2,1,5,3]=>0000000=>8
[8,6,4,1,2,5,7,3]=>0000000=>8
[6,1,4,7,2,5,8,3]=>0000000=>8
[6,7,8,3,5,4,2,1]=>0000000=>8
[6,7,8,2,1,5,3,4]=>0000000=>8
[5,6,3,2,7,4,1,8]=>0000001=>7
[2,6,4,3,7,5,8,1]=>0000000=>8
[7,6,2,3,5,4,8,1]=>0000000=>8
[8,5,2,4,3,6,1,7]=>0000000=>8
[7,4,8,2,1,5,6,3]=>0000000=>8
[8,3,7,1,6,4,2,5]=>0000000=>8
[8,2,1,7,6,5,3,4]=>0000000=>8
[5,7,4,1,6,8,2,3]=>0000000=>8
[6,5,1,2,8,3,4,7]=>0000000=>8
[5,6,8,1,3,7,2,4]=>0000000=>8
[3,7,4,8,6,1,2,5]=>0000000=>8
[1,6,8,5,3,2,4,7]=>1000000=>1
[5,8,1,6,7,4,2,3]=>0000000=>8
[7,2,8,4,6,1,3,5]=>0000000=>8
[6,2,7,4,3,8,1,5]=>0000000=>8
[1,7,8,4,6,2,3,5]=>1000000=>1
[8,1,6,5,4,7,2,3]=>0000000=>8
[4,1,6,8,7,3,2,5]=>0000000=>8
[5,1,4,6,7,3,8,2]=>0000000=>8
[7,1,3,4,6,2,8,5]=>0000000=>8
[3,4,1,6,2,5,8,7,9]=>00000101=>6
[3,4,1,2,6,5,8,7,9]=>00010101=>4
[2,4,1,6,3,5,8,7,10,9,11]=>0000010101=>6
[3,4,1,6,2,5,8,7,10,9]=>000001010=>6
[3,5,1,6,2,4,8,7,9]=>00000101=>6
[2,5,1,6,3,4,8,7,9]=>00000101=>6
[3,5,1,2,6,4,8,7,9]=>00000101=>6
[2,5,1,3,6,4,8,7,9]=>00000101=>6
[1,4,7,5,8,6,3,2]=>1000000=>1
[1,8,6,3,5,2,7,4]=>1000000=>1
[4,7,1,6,8,3,5,2]=>0000000=>8
[3,6,5,2,8,4,1,7]=>0000000=>8
[7,1,8,4,2,5,3,6]=>0000000=>8
[1,4,8,7,5,2,6,3]=>1000000=>1
[1,5,6,4,2,3,7,8]=>1000011=>1
[5,7,3,6,8,4,2,1]=>0000000=>8
[5,8,7,4,2,1,3,6]=>0000000=>8
[1,8,7,3,2,5,4,6]=>1000000=>1
[1,2,5,4,8,7,3,6]=>1100000=>1
[1,2,4,8,6,3,5,7]=>1100000=>1
[1,5,2,4,7,3,8,6]=>1000000=>1
[1,2,7,6,8,4,3,5]=>1100000=>1
[1,6,3,2,5,7,8,4]=>1000000=>1
[1,7,3,4,2,6,8,5]=>1000000=>1
[1,6,3,5,8,4,2,7]=>1000000=>1
[1,5,3,2,7,8,4,6]=>1000000=>1
[1,7,6,4,3,8,5,2]=>1000000=>1
[1,8,5,7,6,3,2,4]=>1000000=>1
[1,6,3,5,7,8,4,2]=>1000000=>1
[6,8,5,2,1,7,4,3]=>0000000=>8
[1,2,6,8,4,3,7,5]=>1100000=>1
[5,3,7,2,6,4,1,8]=>0000001=>7
[7,6,2,5,3,4,1,8]=>0000001=>7
[7,6,2,4,5,3,1,8]=>0000001=>7
[7,6,2,4,3,5,1,8]=>0000001=>7
[7,6,2,3,5,4,1,8]=>0000001=>7
[8,4,2,7,1,6,3,5]=>0000000=>8
[8,7,6,1,5,3,2,4]=>0000000=>8
[8,7,6,1,4,3,5,2]=>0000000=>8
[8,7,6,1,3,5,4,2]=>0000000=>8
[8,7,6,1,5,4,2,3]=>0000000=>8
[8,6,2,7,1,5,3,4]=>0000000=>8
[8,7,6,1,2,5,3,4]=>0000000=>8
[8,7,6,1,2,5,4,3]=>0000000=>8
[8,7,6,1,4,2,5,3]=>0000000=>8
[6,5,7,3,8,4,1,2]=>0000000=>8
[5,7,1,3,4,2,8,6]=>0000000=>8
[1,5,3,7,8,4,6,2]=>1000000=>1
[1,3,7,5,8,6,2,4]=>1000000=>1
[5,3,7,6,8,1,2,4]=>0000000=>8
[3,1,2,7,5,8,4,6]=>0010000=>3
[6,1,4,8,5,2,7,3]=>0000000=>8
[3,4,5,8,1,6,7,2]=>0000000=>8
[3,1,6,8,5,2,7,4]=>0000000=>8
[5,4,8,1,2,6,7,3]=>0000000=>8
[5,2,3,8,1,7,4,6]=>0000000=>8
[1,5,3,8,2,4,6,7]=>1000000=>1
[8,6,2,7,5,1,4,3]=>0000000=>8
[2,7,1,8,6,3,5,4]=>0000000=>8
[5,7,6,1,3,2,8,4]=>0000000=>8
[3,5,4,6,1,7,8,2]=>0000000=>8
[8,1,5,4,6,3,7,2]=>0000000=>8
[2,7,1,5,6,4,3,8]=>0000001=>7
[8,4,6,3,1,7,2,5]=>0000000=>8
[8,4,2,5,6,3,7,1]=>0000000=>8
[5,4,7,2,8,6,1,3]=>0000000=>8
[3,5,6,4,1,7,2,8]=>0000001=>7
[2,5,6,1,7,4,3,8]=>0000001=>7
[2,7,1,8,6,5,4,3]=>0000000=>8
[3,7,6,1,8,5,4,2]=>0000000=>8
[8,6,4,2,1,3,5,7,9]=>00000001=>8
[8,6,2,1,4,3,5,7,9]=>00000001=>8
[8,4,2,1,6,3,5,7,9]=>00000001=>8
[6,4,2,1,8,3,5,7,9]=>00000001=>8
[8,6,4,2,9,1,3,5,7]=>00000000=>9
[9,6,4,2,7,1,3,5,8]=>00000000=>9
[9,7,4,2,5,1,3,6,8]=>00000000=>9
[9,7,5,2,3,1,4,6,8]=>00000000=>9
[9,7,5,3,1,2,4,6,8]=>00000000=>9
[10,8,6,4,2,1,3,5,7,9]=>000000000=>10
[10,8,6,2,1,4,3,5,7,9]=>000000000=>10
[8,2,1,4,3,6,5,7,9]=>00000001=>8
[10,8,4,2,1,6,3,5,7,9]=>000000000=>10
[4,2,1,6,3,5,8,7,9]=>00000101=>6
[10,6,4,2,1,8,3,5,7,9]=>000000000=>10
[6,4,2,1,8,3,5,9,7]=>00000000=>9
[8,6,4,2,1,10,3,5,7,9]=>000000000=>10
[6,4,2,7,1,3,5,8,9]=>00000011=>7
[8,6,4,2,9,1,3,5,7,10]=>000000001=>9
[6,2,8,3,1,4,5,7]=>0000000=>8
[8,9,4,2,5,1,3,6,7]=>00000000=>9
[9,6,4,2,7,1,3,5,8,10]=>000000001=>9
[2,7,8,3,1,4,5,6]=>0000000=>8
[9,6,7,2,3,1,4,5,8]=>00000000=>9
[9,7,4,2,5,1,3,6,8,10]=>000000001=>9
[9,7,4,5,1,2,3,6,8]=>00000000=>9
[9,7,5,2,3,1,4,6,8,10]=>000000001=>9
[9,7,5,3,1,2,4,6,8,10]=>000000001=>9
[1,8,5,3,2,6,7,4]=>1000000=>1
[1,5,6,7,3,2,8,4]=>1000000=>1
[1,7,5,2,3,4,8,6]=>1000000=>1
[1,7,5,2,4,8,6,3]=>1000000=>1
[1,4,8,6,2,3,5,7]=>1000000=>1
[1,2,8,6,3,5,7,4]=>1100000=>1
[1,8,6,7,4,2,3,5]=>1000000=>1
[1,6,7,8,4,2,3,5]=>1000000=>1
[1,7,8,4,2,3,5,6]=>1000000=>1
[1,7,3,5,6,2,8,4]=>1000000=>1
[1,7,8,3,4,2,5,6]=>1000000=>1
[1,2,3,7,8,5,4,6]=>1110000=>1
[1,2,7,4,6,3,8,5]=>1100000=>1
[1,7,8,4,5,2,3,6]=>1000000=>1
[1,2,8,4,5,6,3,7]=>1100000=>1
[5,8,2,7,3,4,1,6]=>0000000=>8
[6,8,7,2,3,4,1,5]=>0000000=>8
[5,3,8,1,6,7,4,2]=>0000000=>8
[5,1,8,3,6,7,4,2]=>0000000=>8
[3,1,8,4,6,2,7,5]=>0000000=>8
[8,4,1,6,5,2,3,7]=>0000000=>8
[1,8,7,6,4,3,5,2]=>1000000=>1
[6,8,7,3,2,4,1,5]=>0000000=>8
[2,3,7,5,6,8,4,1]=>0000000=>8
[3,2,4,7,5,8,1,6]=>0000000=>8
[2,8,7,6,4,5,1,3]=>0000000=>8
[4,8,7,6,3,1,5,2]=>0000000=>8
[3,5,2,4,7,6,8,1]=>0000000=>8
[5,3,2,7,6,4,8,1]=>0000000=>8
[3,5,2,7,4,6,8,1]=>0000000=>8
[3,4,7,6,8,2,5,1]=>0000000=>8
[5,2,8,4,1,3,6,7]=>0000000=>8
[3,8,5,2,1,4,6,7]=>0000000=>8
[7,6,4,1,8,2,5,3]=>0000000=>8
[7,5,4,2,1,6,3,8]=>0000001=>7
[8,1,6,7,3,4,2,5]=>0000000=>8
[8,2,1,6,7,4,3,5]=>0000000=>8
[5,2,8,6,3,7,1,4]=>0000000=>8
[7,6,8,1,2,5,4,3]=>0000000=>8
[1,2,9,3,4,5,6,8,7]=>11000000=>1
[1,2,3,8,4,5,9,6,7]=>11100000=>1
[1,2,3,4,9,5,6,8,7]=>11110000=>1
[2,1,3,4,8,5,7,6]=>0111000=>2
[1,2,3,4,5,9,6,8,7]=>11111000=>1
[7,1,2,3,4,8,5,9,6]=>00000000=>9
[6,9,1,2,3,4,8,5,7]=>00000000=>9
[1,2,10,3,4,5,6,7,9,8]=>110000000=>1
[5,1,9,2,3,4,8,6,7]=>00000000=>9
[1,2,3,9,4,5,6,10,7,8]=>111000000=>1
[4,1,2,3,5,8,6,9,7]=>00011000=>4
[1,2,3,4,10,5,6,7,9,8]=>111100000=>1
[3,1,2,4,9,5,8,6,7]=>00110000=>3
[1,2,3,4,5,10,6,7,9,8]=>111110000=>1
[2,1,3,4,5,9,6,8,7]=>01111000=>2
[1,2,3,4,5,6,9,10,7,8]=>111111000=>1
[10,1,2,3,4,5,6,7,11,8,9]=>0000000000=>11
[8,1,2,3,4,5,9,6,10,7]=>000000000=>10
[1,11,2,3,4,5,6,7,8,10,9]=>1000000000=>1
[1,7,2,3,4,5,9,8,6]=>10000000=>1
[7,10,1,2,3,4,5,9,6,8]=>000000000=>10
[1,6,2,3,4,5,9,8,7]=>10000100=>1
[6,1,2,3,7,4,8,9,5]=>00000000=>9
[6,1,10,2,3,4,5,9,7,8]=>000000000=>10
[5,7,1,2,6,8,3,4]=>0000000=>8
[1,2,3,8,5,4,6,9,7]=>11100000=>1
[5,9,1,2,6,3,4,8,7]=>00000000=>9
[5,1,2,3,4,6,9,7,10,8]=>000011000=>5
[1,4,2,3,5,6,9,8,7]=>10011100=>1
[1,5,2,3,6,8,7,4]=>1000000=>1
[4,1,9,5,2,3,6,8,7]=>00000000=>9
[4,1,2,3,10,5,6,9,7,8]=>000100000=>4
[1,2,3,4,5,11,6,7,8,10,9]=>1111100000=>1
[1,3,2,4,5,6,9,8,7]=>10111100=>1
[3,4,1,2,5,6,8,9,7]=>00011100=>4
[3,1,2,4,5,10,6,9,7,8]=>001110000=>3
[2,3,1,4,9,5,6,8,7]=>00110000=>3
[8,6,4,7,5,1,2,3]=>0000000=>8
[8,6,4,1,2,5,3,7]=>0000000=>8
[2,8,4,3,1,6,5,7]=>0000000=>8
[8,3,5,6,1,4,7,2]=>0000000=>8
[6,8,7,3,5,4,2,1]=>0000000=>8
[3,1,2,8,5,7,4,6]=>0010000=>3
[2,1,4,7,6,3,5,8]=>0100001=>2
[7,2,4,5,3,8,1,6]=>0000000=>8
[8,4,2,5,6,7,3,1]=>0000000=>8
[5,4,1,6,3,7,8,2]=>0000000=>8
[4,5,1,3,6,7,8,2]=>0000000=>8
[5,1,7,6,3,4,8,2]=>0000000=>8
[6,1,7,5,4,8,2,3]=>0000000=>8
[3,7,2,1,6,8,4,5]=>0000000=>8
[1,5,8,2,4,7,6,3]=>1000000=>1
[5,8,1,6,4,7,3,2]=>0000000=>8
[3,8,6,5,7,2,4,1]=>0000000=>8
[6,8,1,4,7,3,5,2]=>0000000=>8
[1,6,8,2,7,4,5,3]=>1000000=>1
[5,7,2,1,8,4,3,6]=>0000000=>8
[5,7,1,6,8,3,2,4]=>0000000=>8
[5,6,2,1,8,3,4,7]=>0000000=>8
[6,4,1,7,3,8,2,5]=>0000000=>8
[8,2,5,6,7,1,4,3]=>0000000=>8
[7,2,4,6,8,3,1,5]=>0000000=>8
[6,2,4,7,8,1,3,5]=>0000000=>8
[6,1,4,3,2,8,5,7]=>0000000=>8
[2,7,4,8,6,1,5,3]=>0000000=>8
[2,4,8,6,5,7,3,1]=>0000000=>8
[3,7,8,6,4,2,5,1]=>0000000=>8
[6,2,8,4,7,5,1,3]=>0000000=>8
[4,2,8,5,1,6,3,7]=>0000000=>8
[2,3,8,4,1,6,5,7]=>0000000=>8
[4,5,7,3,1,6,2,8]=>0000001=>7
[5,1,8,7,4,6,3,2]=>0000000=>8
[3,5,7,6,1,8,4,2]=>0000000=>8
[3,5,7,6,2,8,4,1]=>0000000=>8
[6,1,4,3,8,7,5,2]=>0000000=>8
[6,3,1,8,7,4,2,5]=>0000000=>8
[5,3,6,2,8,7,4,1]=>0000000=>8
[6,2,3,8,7,5,4,1]=>0000000=>8
[4,1,3,5,8,7,6,2]=>0000000=>8
[2,7,8,3,4,1,5,6]=>0000000=>8
[6,8,2,7,4,1,5,3]=>0000000=>8
[5,8,3,4,6,1,7,2]=>0000000=>8
[5,3,8,2,7,1,6,4]=>0000000=>8
[3,7,1,5,2,6,8,4]=>0000000=>8
[6,7,1,8,3,4,5,2]=>0000000=>8
[3,8,5,2,6,7,1,4]=>0000000=>8
[7,1,8,4,6,3,5,2]=>0000000=>8
[3,8,6,4,7,1,5,2]=>0000000=>8
[3,7,1,4,8,6,5,2]=>0000000=>8
[2,3,7,6,5,8,1,4]=>0000000=>8
[4,3,5,6,7,8,9,1,2]=>00000000=>9
[6,7,8,5,4,3,2,1,9]=>00000001=>8
[6,5,7,8,4,3,2,1,9]=>00000001=>8
[6,5,4,7,8,3,2,1,9]=>00000001=>8
[6,5,4,3,7,8,2,1,9]=>00000001=>8
[6,5,4,3,2,7,8,1,9]=>00000001=>8
[7,8,9,5,4,3,2,1,6]=>00000000=>9
[7,8,9,6,5,4,3,2,1,10]=>000000001=>9
[6,7,8,9,4,3,2,1,5]=>00000000=>9
[7,6,8,9,5,4,3,2,1,10]=>000000001=>9
[6,5,7,8,9,3,2,1,4]=>00000000=>9
[7,6,5,8,9,4,3,2,1,10]=>000000001=>9
[6,5,4,7,8,9,2,1,3]=>00000000=>9
[7,6,5,4,8,9,3,2,1,10]=>000000001=>9
[6,5,4,3,7,8,9,1,2]=>00000000=>9
[7,6,5,4,3,8,9,2,1,10]=>000000001=>9
[6,5,4,3,2,7,8,9,1]=>00000000=>9
[7,6,5,4,3,2,8,9,1,10]=>000000001=>9
[3,5,7,6,8,2,1,4]=>0000000=>8
[4,2,5,3,7,6,1,8]=>0000001=>7
[6,2,4,3,7,5,1,8]=>0000001=>7
[1,3,6,4,7,5,2,8]=>1000001=>1
[8,2,5,3,6,4,1,7]=>0000000=>8
[7,2,5,3,6,4,1,8]=>0000001=>7
[6,2,5,3,7,4,1,8]=>0000001=>7
[4,2,6,3,7,5,1,8]=>0000001=>7
[5,2,7,3,6,4,1,8]=>0000001=>7
[7,3,6,2,5,4,1,8]=>0000001=>7
[6,3,8,2,5,4,1,7]=>0000000=>8
[7,3,1,4,6,5,2,8]=>0000001=>7
[8,3,7,2,5,4,1,6]=>0000000=>8
[5,2,8,3,6,4,1,7]=>0000000=>8
[3,2,8,4,6,5,1,7]=>0000000=>8
[1,4,7,3,6,5,2,8]=>1000001=>1
[8,2,5,4,1,6,3,7]=>0000000=>8
[8,2,6,4,1,5,3,7]=>0000000=>8
[1,4,8,3,7,5,2,6]=>1000000=>1
[6,2,1,4,8,5,3,7]=>0000000=>8
[5,2,1,4,8,6,3,7]=>0000000=>8
[3,2,1,5,8,6,4,7]=>0010000=>3
[4,2,8,3,7,5,1,6]=>0000000=>8
[5,2,8,3,7,4,1,6]=>0000000=>8
[8,3,7,2,6,4,1,5]=>0000000=>8
[7,3,1,4,8,5,2,6]=>0000000=>8
[1,3,7,4,8,5,2,6]=>1000000=>1
[8,2,6,3,7,4,1,5]=>0000000=>8
[7,2,6,3,8,4,1,5]=>0000000=>8
[5,2,7,3,8,4,1,6]=>0000000=>8
[3,2,7,4,8,5,1,6]=>0000000=>8
[5,2,6,3,8,4,1,7]=>0000000=>8
[6,2,5,3,8,4,1,7]=>0000000=>8
[7,2,5,3,8,4,1,6]=>0000000=>8
[8,2,5,3,7,4,1,6]=>0000000=>8
[1,3,6,4,8,5,2,7]=>1000000=>1
[1,3,5,4,8,6,2,7]=>1000000=>1
[8,2,4,3,7,5,1,6]=>0000000=>8
[7,2,4,3,8,5,1,6]=>0000000=>8
[6,2,4,3,8,5,1,7]=>0000000=>8
[5,2,4,3,8,6,1,7]=>0000000=>8
[4,2,5,3,8,6,1,7]=>0000000=>8
[4,2,5,3,1,7,6,8]=>0000101=>5
[6,2,4,3,1,7,5,8]=>0000001=>7
[7,2,4,3,1,6,5,8]=>0000001=>7
[8,5,1,3,6,4,2,7]=>0000000=>8
[8,4,1,3,6,5,2,7]=>0000000=>8
[1,5,2,4,7,6,3,8]=>1000001=>1
[7,2,5,3,1,6,4,8]=>0000001=>7
[6,2,5,3,1,7,4,8]=>0000001=>7
[4,2,6,3,1,7,5,8]=>0000001=>7
[3,2,6,4,1,7,5,8]=>0000001=>7
[3,2,7,4,1,6,5,8]=>0000001=>7
[4,2,7,3,1,6,5,8]=>0000001=>7
[5,2,7,3,1,6,4,8]=>0000001=>7
[6,2,7,3,1,5,4,8]=>0000001=>7
[7,2,6,3,1,5,4,8]=>0000001=>7
[1,5,2,4,8,6,3,7]=>1000000=>1
[8,4,1,3,7,5,2,6]=>0000000=>8
[6,2,1,5,3,7,4,8]=>0000001=>7
[3,2,1,6,4,7,5,8]=>0010001=>3
[3,2,8,5,1,6,4,7]=>0000000=>8
[6,2,8,4,1,5,3,7]=>0000000=>8
[8,3,7,4,1,5,2,6]=>0000000=>8
[7,1,3,2,5,6,4,8]=>0000001=>7
[6,3,5,2,4,8,1,7]=>0000000=>8
[1,5,2,8,7,4,3,6]=>1000000=>1
[5,7,2,8,1,4,3,6]=>0000000=>8
[5,8,2,7,1,4,3,6]=>0000000=>8
[8,7,6,5,3,2,1,4,9]=>00000001=>8
[8,7,6,4,3,2,1,5,9]=>00000001=>8
[8,7,5,4,3,2,1,6,9]=>00000001=>8
[8,7,6,5,4,1,2,3,9]=>00000001=>8
[9,8,7,6,5,4,2,1,3,10]=>000000001=>9
[8,7,6,5,2,3,1,4,9]=>00000001=>8
[9,8,7,6,5,3,2,1,4,10]=>000000001=>9
[8,7,6,3,4,2,1,5,9]=>00000001=>8
[9,8,7,6,4,3,2,1,5,10]=>000000001=>9
[8,7,4,5,3,2,1,6,9]=>00000001=>8
[9,8,7,5,4,3,2,1,6,10]=>000000001=>9
[8,5,6,4,3,2,1,7,9]=>00000001=>8
[9,8,6,5,4,3,2,1,7,10]=>000000001=>9
[6,7,5,4,3,2,1,8,9]=>00000011=>7
[8,6,2,3,1,5,7,4]=>0000000=>8
[1,4,2,7,3,6,8,5]=>1000000=>1
[3,2,1,7,8,5,4,6]=>0010000=>3
[1,7,6,3,2,4,8,5]=>1000000=>1
[2,1,6,4,7,8,5,3]=>0100000=>2
[1,6,3,2,4,7,8,5]=>1000000=>1
[1,2,3,7,5,8,4,6]=>1110000=>1
[1,8,5,3,2,4,7,6]=>1000000=>1
[4,7,8,1,5,6,2,3]=>0000000=>8
[3,6,7,1,8,4,2,5]=>0000000=>8
[1,3,7,6,2,4,5,8]=>1000001=>1
[7,1,4,3,8,5,6,2]=>0000000=>8
[5,6,2,7,8,3,4,1]=>0000000=>8
[7,2,5,8,1,6,3,4]=>0000000=>8
[6,4,8,1,5,7,2,3]=>0000000=>8
[2,7,4,1,3,6,8,5]=>0000000=>8
[6,2,1,4,7,5,8,3]=>0000000=>8
[6,8,7,9,5,4,3,2,1]=>00000000=>9
[5,8,7,6,9,4,3,2,1]=>00000000=>9
[4,8,7,6,5,9,3,2,1]=>00000000=>9
[3,8,7,6,5,4,9,2,1]=>00000000=>9
[2,8,7,6,5,4,3,9,1]=>00000000=>9
[2,6,1,5,4,7,3,8]=>0000001=>7
[2,3,6,8,4,1,7,5]=>0000000=>8
[1,7,2,8,6,3,5,4]=>1000000=>1
[8,3,2,6,7,4,1,5]=>0000000=>8
[5,2,6,8,1,3,7,4]=>0000000=>8
[8,3,5,2,6,1,4,7]=>0000000=>8
[8,3,2,4,6,7,1,5]=>0000000=>8
[4,2,7,6,1,8,5,3]=>0000000=>8
[7,3,2,1,8,5,4,6]=>0000000=>8
[7,3,2,1,6,4,8,5]=>0000000=>8
[3,6,5,2,1,8,4,7]=>0000000=>8
[6,7,2,4,3,5,8,1]=>0000000=>8
[4,3,8,2,1,5,7,6]=>0000000=>8
[4,3,2,8,1,6,7,5]=>0000000=>8
[4,5,8,3,2,7,1,6]=>0000000=>8
[5,4,7,8,2,3,6,1]=>0000000=>8
[4,3,8,2,1,6,7,5]=>0000000=>8
[9,1,3,4,5,6,7,8,2]=>00000000=>9
[5,3,7,6,2,4,8,1]=>0000000=>8
[4,6,7,2,5,3,8,1]=>0000000=>8
[6,4,7,8,3,1,5,2]=>0000000=>8
[5,8,1,7,6,4,2,3]=>0000000=>8
[5,6,7,1,8,3,4,2]=>0000000=>8
[7,1,8,6,2,5,4,3]=>0000000=>8
[1,5,8,2,6,4,7,3]=>1000000=>1
[1,5,7,4,6,8,3,2]=>1000000=>1
[5,6,7,4,8,1,3,2]=>0000000=>8
[2,6,7,1,5,4,8,3]=>0000000=>8
[3,2,7,6,5,8,1,4]=>0000000=>8
[1,7,3,4,5,8,2,6]=>1000000=>1
[7,1,8,4,5,6,3,2]=>0000000=>8
[10,1,3,4,5,6,7,8,9,2]=>000000000=>10
[1,8,3,4,5,6,9,2,7]=>10000000=>1
[8,2,3,4,5,1,9,7,6]=>00000000=>9
[1,2,7,4,5,8,3,6]=>1100000=>1
[8,1,9,4,5,6,7,3,2]=>00000000=>9
[7,9,3,4,5,6,1,8,2]=>00000000=>9
[11,1,3,4,5,6,7,8,9,10,2]=>0000000000=>11
[10,2,3,4,5,6,7,8,11,1,9]=>0000000000=>11
[1,9,3,4,5,6,7,10,2,8]=>100000000=>1
[9,2,3,4,5,6,1,10,8,7]=>000000000=>10
[1,2,8,4,5,6,9,3,7]=>11000000=>1
[7,8,3,4,5,2,9,1,6]=>00000000=>9
[8,2,3,4,1,6,9,7,5]=>00000000=>9
[6,7,3,2,5,8,1,4]=>0000000=>8
[8,1,3,9,5,6,7,4,2]=>00000000=>9
[6,1,8,4,5,3,7,2]=>0000000=>8
[7,8,9,4,5,6,3,1,2]=>00000000=>9
[9,1,10,4,5,6,7,8,3,2]=>000000000=>10
[6,9,3,4,5,1,7,8,2]=>00000000=>9
[8,10,3,4,5,6,7,1,9,2]=>000000000=>10
[10,11,3,4,5,6,7,8,9,1,2]=>0000000000=>11
[5,1,4,6,2,8,7,3]=>0000000=>8
[7,3,5,2,1,6,8,4]=>0000000=>8
[1,5,8,7,4,6,3,2]=>1000000=>1
[5,7,2,1,3,6,8,4]=>0000000=>8
[3,7,2,6,8,1,5,4]=>0000000=>8
[7,4,8,6,5,1,3,2]=>0000000=>8
[1,5,4,7,8,6,2,3]=>1000000=>1
[1,5,7,8,6,2,4,3]=>1000000=>1
[3,6,2,1,4,7,8,5]=>0000000=>8
[6,8,2,7,5,4,3,1]=>0000000=>8
[5,8,1,7,6,4,3,2]=>0000000=>8
[4,1,5,6,7,8,9,2,3]=>00000000=>9
[2,3,6,7,1,8,9,4,5]=>00000000=>9
[2,4,5,6,7,8,9,10,11,1,3]=>0000000000=>11
[3,4,5,6,7,8,9,10,11,1,2]=>0000000000=>11
[8,6,3,2,1,5,4,7]=>0000000=>8
[8,5,3,2,4,1,7,6]=>0000000=>8
[7,5,2,4,3,6,8,1]=>0000000=>8
[8,5,1,4,6,3,2,7]=>0000000=>8
[8,5,1,6,3,4,2,7]=>0000000=>8
[8,4,3,6,1,5,2,7]=>0000000=>8
[8,4,3,5,2,1,7,6]=>0000000=>8
[6,4,3,2,8,7,1,5]=>0000000=>8
[8,5,1,4,3,7,2,6]=>0000000=>8
[8,5,4,2,1,3,7,6]=>0000000=>8
[4,7,3,6,1,8,5,2]=>0000000=>8
[7,6,2,4,1,5,8,3]=>0000000=>8
[8,1,6,3,7,4,2,5]=>0000000=>8
[5,3,8,2,6,7,1,4]=>0000000=>8
[8,2,5,1,7,6,3,4]=>0000000=>8
[8,2,4,6,3,7,1,5]=>0000000=>8
[7,2,6,4,3,5,8,1]=>0000000=>8
[7,3,6,2,4,5,8,1]=>0000000=>8
[8,3,7,2,1,4,6,5]=>0000000=>8
[7,6,4,1,3,2,8,5]=>0000000=>8
[7,3,8,2,1,5,6,4]=>0000000=>8
[6,2,5,7,4,3,8,1]=>0000000=>8
[6,2,5,4,8,7,1,3]=>0000000=>8
[7,2,4,8,5,1,6,3]=>0000000=>8
[4,2,7,6,8,5,1,3]=>0000000=>8
[7,1,6,2,8,5,4,3]=>0000000=>8
[7,1,6,3,8,5,2,4]=>0000000=>8
[7,2,6,8,1,3,5,4]=>0000000=>8
[7,2,8,5,1,3,6,4]=>0000000=>8
[7,1,8,5,3,2,6,4]=>0000000=>8
[7,1,8,2,5,6,4,3]=>0000000=>8
[6,1,5,8,7,2,4,3]=>0000000=>8
[6,1,5,7,4,8,3,2]=>0000000=>8
[6,1,5,7,8,3,4,2]=>0000000=>8
[4,6,7,3,1,8,5,2]=>0000000=>8
[4,2,6,3,1,8,7,5]=>0000000=>8
[6,1,4,2,5,8,7,3]=>0000000=>8
[1,5,3,8,4,6,2,7]=>1000000=>1
[7,2,3,5,8,4,1,6]=>0000000=>8
[7,6,4,2,8,5,1,3]=>0000000=>8
[1,7,6,4,8,5,3,2]=>1000000=>1
[8,7,4,2,1,5,6,3]=>0000000=>8
[8,2,3,5,1,4,6,7]=>0000000=>8
[8,7,4,1,3,2,6,5]=>0000000=>8
[7,1,4,8,3,6,2,5]=>0000000=>8
[4,1,8,5,7,6,2,3]=>0000000=>8
[3,7,5,8,4,2,1,6]=>0000000=>8
[6,1,5,8,3,4,2,7]=>0000000=>8
[6,7,5,1,3,2,4,8]=>0000001=>7
[5,2,6,1,7,3,4,8]=>0000001=>7
[4,2,6,8,3,7,1,5]=>0000000=>8
[6,8,5,1,4,2,3,7]=>0000000=>8
[7,8,4,5,1,3,6,2]=>0000000=>8
[1,7,8,5,3,4,6,2]=>1000000=>1
[1,5,8,3,6,4,7,2]=>1000000=>1
[6,3,8,1,4,2,7,5]=>0000000=>8
[4,8,1,5,6,3,7,2]=>0000000=>8
[1,8,2,6,5,3,7,4]=>1000000=>1
[3,8,1,7,2,6,5,4]=>0000000=>8
[7,3,8,1,2,6,5,4]=>0000000=>8
[8,1,4,2,3,5,7,6]=>0000000=>8
[8,1,2,4,6,5,7,3]=>0000000=>8
[8,4,7,1,5,3,6,2]=>0000000=>8
[7,2,5,3,4,6,1,8]=>0000001=>7
[7,6,4,2,5,3,1,8]=>0000001=>7
[5,8,4,3,6,2,7,1]=>0000000=>8
[1,7,2,6,3,4,8,5]=>1000000=>1
[7,5,1,6,3,2,4,8]=>0000001=>7
[7,1,2,6,3,4,5,8]=>0000001=>7
[7,3,1,4,6,2,5,8]=>0000001=>7
[7,1,6,5,4,2,3,8]=>0000001=>7
[3,6,8,5,2,4,7,1]=>0000000=>8
[5,7,8,4,3,2,6,1]=>0000000=>8
[1,3,8,4,7,2,6,5]=>1000000=>1
[6,7,1,3,2,8,5,4]=>0000000=>8
[1,5,3,2,6,8,4,7]=>1000000=>1
[5,4,3,1,7,2,8,6]=>0000000=>8
[3,7,6,5,8,2,4,1]=>0000000=>8
[5,7,4,2,8,6,1,3]=>0000000=>8
[3,8,5,7,6,2,4,1]=>0000000=>8
[1,3,6,8,7,2,5,4]=>1000000=>1
[7,6,8,4,3,1,5,2]=>0000000=>8
[1,7,6,5,3,2,4,8]=>1000001=>1
[2,7,6,5,4,1,3,8]=>0000001=>7
[4,7,6,1,5,8,3,2]=>0000000=>8
[6,8,7,1,5,4,3,2]=>0000000=>8
[9,10,1,8,7,6,5,4,3,2]=>000000000=>10
[3,5,2,4,7,6,9,8,1]=>00000000=>9
[2,4,3,6,5,8,7,1,9]=>00000001=>8
[3,2,5,4,7,6,9,8,1,10]=>000000001=>9
[2,4,3,6,5,8,7,10,9,1]=>000000000=>10
[4,7,3,6,8,2,1,5]=>0000000=>8
[5,4,7,3,8,2,1,6]=>0000000=>8
[4,3,5,7,2,6,1,8]=>0000001=>7
[1,7,2,8,5,4,3,6]=>1000000=>1
[5,4,8,3,6,2,1,7]=>0000000=>8
[5,8,4,2,7,3,6,1]=>0000000=>8
[8,6,1,3,4,5,7,2]=>0000000=>8
[8,5,1,2,4,6,7,3]=>0000000=>8
[2,6,8,7,3,4,5,1]=>0000000=>8
[1,7,8,5,6,4,2,3]=>1000000=>1
[3,1,7,5,8,2,4,6]=>0000000=>8
[8,1,3,2,4,6,5,7]=>0000000=>8
[8,1,6,5,4,3,2,7]=>0000000=>8
[3,5,8,2,1,4,7,6]=>0000000=>8
[4,2,8,5,3,7,6,1]=>0000000=>8
[4,2,7,5,3,8,6,1]=>0000000=>8
[6,4,5,1,8,3,2,7]=>0000000=>8
[5,4,7,8,3,1,2,6]=>0000000=>8
[4,5,8,1,3,7,2,6]=>0000000=>8
[1,5,3,6,8,7,2,4]=>1000000=>1
[7,6,2,8,1,4,3,5]=>0000000=>8
[4,7,2,6,8,3,5,1]=>0000000=>8
[6,3,2,8,7,4,5,1]=>0000000=>8
[7,4,3,8,5,6,2,1]=>0000000=>8
[3,1,5,8,7,6,2,4]=>0000000=>8
[8,2,1,6,5,7,3,4]=>0000000=>8
[3,1,8,6,5,7,2,4]=>0000000=>8
[1,2,7,6,4,5,8,3]=>1100000=>1
[7,2,6,5,1,8,3,4]=>0000000=>8
[4,2,8,5,6,3,1,7]=>0000000=>8
[4,7,3,2,5,1,6,8]=>0000001=>7
[4,2,5,3,8,7,1,6]=>0000000=>8
[7,5,6,1,8,3,2,4]=>0000000=>8
[4,5,6,2,7,3,1,8]=>0000001=>7
[3,5,1,4,6,8,2,7]=>0000000=>8
[8,5,7,4,2,1,3,6]=>0000000=>8
[4,6,2,7,5,8,1,3]=>0000000=>8
[6,5,2,4,8,7,1,3]=>0000000=>8
[8,5,2,4,1,3,7,6]=>0000000=>8
[5,1,2,4,3,6,8,7]=>0000110=>5
[8,6,2,7,5,3,1,4]=>0000000=>8
[3,5,1,2,4,7,6,9,8]=>00001010=>5
[7,8,1,6,5,2,4,3]=>0000000=>8
[7,4,8,6,5,1,2,3]=>0000000=>8
[3,7,8,6,5,1,2,4]=>0000000=>8
[4,5,8,2,7,3,1,6]=>0000000=>8
[6,5,8,2,7,3,1,4]=>0000000=>8
[6,4,8,2,7,3,1,5]=>0000000=>8
[7,8,1,3,6,4,2,5]=>0000000=>8
[4,5,7,8,3,2,1,6]=>0000000=>8
[5,7,3,4,2,6,8,1]=>0000000=>8
[5,7,4,2,3,6,8,1]=>0000000=>8
[5,4,7,3,2,8,1,6]=>0000000=>8
[6,8,3,2,4,5,1,7]=>0000000=>8
[5,8,3,4,6,1,2,7]=>0000000=>8
[6,4,3,8,5,1,2,7]=>0000000=>8
[6,4,8,2,3,5,1,7]=>0000000=>8
[5,4,6,8,2,3,1,7]=>0000000=>8
[5,6,8,4,1,2,3,7]=>0000000=>8
[6,4,8,5,1,2,3,7]=>0000000=>8
[7,4,8,3,1,2,5,6]=>0000000=>8
[5,7,8,2,3,1,4,6]=>0000000=>8
[5,4,7,8,2,1,3,6]=>0000000=>8
[5,8,6,3,1,2,4,7]=>0000000=>8
[6,8,5,2,1,3,4,7]=>0000000=>8
[5,3,7,2,1,8,6,4]=>0000000=>8
[6,1,5,4,7,2,8,3]=>0000000=>8
[5,4,8,3,2,7,1,6]=>0000000=>8
[5,4,3,7,2,1,6,8]=>0000001=>7
[5,4,3,7,8,2,1,6]=>0000000=>8
[3,4,5,6,7,8,2,9,1]=>00000000=>9
[1,4,8,6,3,2,7,5]=>1000000=>1
[8,7,6,4,5,3,2,9,1]=>00000000=>9
[2,9,8,7,5,6,4,3,1]=>00000000=>9
[6,1,3,5,8,7,4,2]=>0000000=>8
[3,5,8,7,4,6,2,1]=>0000000=>8
[6,8,5,7,3,4,2,1]=>0000000=>8
[5,3,6,8,4,2,1,7]=>0000000=>8
[5,1,6,8,4,7,3,2]=>0000000=>8
[6,2,8,3,4,1,5,7]=>0000000=>8
[2,4,1,8,7,6,3,5]=>0000000=>8
[1,3,5,8,4,7,2,6]=>1000000=>1
[2,3,8,7,5,1,6,4]=>0000000=>8
[8,5,4,7,6,1,3,2]=>0000000=>8
[5,8,7,2,4,1,3,6]=>0000000=>8
[4,1,3,5,6,2,8,7]=>0000010=>6
[6,3,8,5,1,7,4,2]=>0000000=>8
[8,2,4,6,1,3,7,5]=>0000000=>8
[6,4,8,7,3,5,2,1]=>0000000=>8
[8,2,3,5,6,1,4,7]=>0000000=>8
[4,3,5,6,8,2,7,1]=>0000000=>8
[8,2,3,4,6,1,7,5]=>0000000=>8
[1,7,4,3,5,2,8,6]=>1000000=>1
[2,7,4,3,8,1,5,6]=>0000000=>8
[3,8,2,7,6,4,1,5]=>0000000=>8
[5,3,6,2,1,8,4,7]=>0000000=>8
[4,3,8,6,2,7,1,5]=>0000000=>8
[8,2,1,4,6,3,7,5]=>0000000=>8
[3,1,6,8,2,7,5,4]=>0000000=>8
[5,3,8,6,7,2,1,4]=>0000000=>8
[5,8,7,2,4,6,1,3]=>0000000=>8
[1,5,2,8,7,6,4,3]=>1000000=>1
[2,7,1,4,6,5,3,8]=>0000001=>7
[4,7,1,2,6,5,8,3]=>0000000=>8
[4,2,5,6,8,7,3,1]=>0000000=>8
[6,5,8,3,7,4,2,1]=>0000000=>8
[8,2,5,1,6,3,7,4]=>0000000=>8
[8,3,4,5,1,6,7,2]=>0000000=>8
[7,8,1,3,5,4,6,2]=>0000000=>8
[3,5,7,6,4,8,1,2]=>0000000=>8
[1,3,7,8,5,4,6,2]=>1000000=>1
[1,3,2,7,8,5,4,6]=>1010000=>1
[6,5,8,4,3,7,1,2]=>0000000=>8
[6,7,3,1,5,2,4,8]=>0000001=>7
[5,2,4,1,8,3,6,7]=>0000000=>8
[7,2,3,8,5,4,1,6]=>0000000=>8
[4,1,5,7,6,3,8,2]=>0000000=>8
[3,2,5,4,7,6,9,8,11,10,1,12]=>00000000001=>11
[1,4,8,2,3,6,5,7]=>1000000=>1
[1,4,6,7,3,5,2,8]=>1000001=>1
[1,4,8,2,6,7,5,3]=>1000000=>1
[1,7,3,2,4,5,6,8]=>1000001=>1
[1,7,3,2,4,5,8,6]=>1000000=>1
[4,2,6,5,3,1,7,8]=>0000011=>6
[5,2,1,6,8,7,4,3]=>0000000=>8
[1,3,5,8,6,2,7,4]=>1000000=>1
[1,3,8,5,7,4,2,6]=>1000000=>1
[1,2,3,7,5,4,6,8]=>1110001=>1
[1,4,2,8,6,3,5,7]=>1000000=>1
[2,8,6,3,5,7,4,1]=>0000000=>8
[6,1,8,2,5,3,4,7]=>0000000=>8
[1,5,4,2,3,6,8,7]=>1000110=>1
[6,1,5,2,3,4,8,7]=>0000010=>6
[3,1,2,4,8,6,7,5]=>0011000=>3
[3,1,2,5,8,7,4,6]=>0010000=>3
[6,5,2,1,8,4,7,3]=>0000000=>8
[5,6,2,4,3,8,1,7]=>0000000=>8
[3,7,5,2,8,1,4,6]=>0000000=>8
[5,1,4,7,3,2,8,6]=>0000000=>8
[4,1,5,8,6,2,3,7]=>0000000=>8
[5,4,8,6,3,7,1,2]=>0000000=>8
[6,5,2,3,1,8,7,4]=>0000000=>8
[6,4,7,5,3,8,1,2]=>0000000=>8
[5,7,4,8,3,1,6,2]=>0000000=>8
[4,3,5,1,8,7,2,6]=>0000000=>8
[2,5,3,6,1,8,4,7]=>0000000=>8
[1,7,2,4,5,3,6,8]=>1000001=>1
[1,7,4,5,3,2,6,8]=>1000001=>1
[1,6,4,7,3,5,2,8]=>1000001=>1
[3,5,6,4,8,2,1,7]=>0000000=>8
[1,6,4,7,5,2,3,8]=>1000001=>1
[1,5,2,6,7,4,3,8]=>1000001=>1
[8,5,6,1,4,3,7,2]=>0000000=>8
[2,5,4,7,8,3,1,6]=>0000000=>8
[6,4,5,8,2,3,1,7]=>0000000=>8
[8,6,1,3,2,5,7,4]=>0000000=>8
[7,5,8,1,4,6,3,2]=>0000000=>8
[4,2,6,7,8,1,5,3]=>0000000=>8
[3,4,6,7,8,1,5,2]=>0000000=>8
[4,7,3,8,5,1,6,2]=>0000000=>8
[4,3,2,7,5,8,1,6]=>0000000=>8
[4,8,5,3,2,6,1,7]=>0000000=>8
[2,8,4,5,3,6,1,7]=>0000000=>8
[8,1,5,3,2,4,7,6]=>0000000=>8
[7,8,4,1,3,6,5,2]=>0000000=>8
[8,6,1,3,2,7,4,5]=>0000000=>8
[7,3,8,2,4,1,6,5]=>0000000=>8
[6,2,3,7,8,1,5,4]=>0000000=>8
[6,3,7,8,1,5,4,2]=>0000000=>8
[2,6,3,7,8,1,5,4]=>0000000=>8
[7,5,8,1,6,4,2,3]=>0000000=>8
[8,1,4,3,7,5,6,2]=>0000000=>8
[8,2,7,6,4,1,5,3]=>0000000=>8
[2,7,4,3,8,5,1,6]=>0000000=>8
[4,1,5,8,3,6,7,2]=>0000000=>8
[4,8,5,7,1,3,2,6]=>0000000=>8
[4,8,2,7,1,3,6,5]=>0000000=>8
[8,2,1,7,4,6,3,5]=>0000000=>8
[4,5,2,8,7,3,1,6]=>0000000=>8
[4,8,5,3,1,6,7,2]=>0000000=>8
[5,2,7,8,4,1,6,3]=>0000000=>8
[6,7,8,3,2,5,4,1]=>0000000=>8
[6,2,3,7,8,1,4,5]=>0000000=>8
[1,7,6,4,2,3,5,8]=>1000001=>1
[1,3,2,5,8,6,4,7]=>1010000=>1
[6,1,4,7,2,8,5,3]=>0000000=>8
[1,6,7,2,4,8,5,3]=>1000000=>1
[5,7,2,4,3,6,8,1]=>0000000=>8
[5,7,3,4,6,2,8,1]=>0000000=>8
[2,8,3,6,1,7,4,5]=>0000000=>8
[4,3,1,8,5,2,6,7]=>0000000=>8
[1,8,4,5,6,2,7,3]=>1000000=>1
[7,3,8,2,1,4,5,6]=>0000000=>8
[8,2,5,3,1,7,4,6]=>0000000=>8
[6,3,5,8,1,7,4,2]=>0000000=>8
[3,5,4,8,6,1,7,2]=>0000000=>8
[7,5,2,3,8,4,6,1]=>0000000=>8
[2,7,5,1,4,8,3,6]=>0000000=>8
[5,7,6,1,2,8,3,4]=>0000000=>8
[7,4,6,5,1,8,2,3]=>0000000=>8
[7,1,3,2,6,8,4,5]=>0000000=>8
[4,3,5,2,8,1,6,7]=>0000000=>8
[1,7,3,8,2,4,6,5]=>1000000=>1
[2,7,4,8,5,3,1,6]=>0000000=>8
[6,1,3,8,4,2,7,5]=>0000000=>8
[5,4,1,8,6,2,7,3]=>0000000=>8
[5,4,6,8,1,3,2,7]=>0000000=>8
[3,6,1,5,8,4,7,2]=>0000000=>8
[6,4,8,3,5,7,2,1]=>0000000=>8
[3,5,8,2,4,1,7,6]=>0000000=>8
[7,2,8,4,1,3,6,5]=>0000000=>8
[5,8,1,2,4,3,6,7]=>0000000=>8
[4,1,5,2,3,8,7,6]=>0000100=>5
[6,3,5,8,2,4,7,1]=>0000000=>8
[2,8,7,1,4,6,3,5]=>0000000=>8
[7,5,6,2,8,4,3,1]=>0000000=>8
[8,6,9,7,5,4,3,2,1]=>00000000=>9
[3,2,5,4,7,6,1,10,9,8]=>000000100=>7
[3,2,5,4,9,8,7,6,1,10]=>000000001=>9
[3,2,5,4,1,8,7,10,9,6]=>000010000=>5
[3,2,5,4,1,10,9,8,7,6]=>000010000=>5
[3,2,7,6,5,4,9,8,1,10]=>000000001=>9
[3,2,7,6,5,4,1,10,9,8]=>000000100=>7
[3,2,9,6,5,8,7,4,1,10]=>000000001=>9
[3,2,1,6,5,8,7,10,9,4]=>001000000=>3
[3,2,1,6,5,10,9,8,7,4]=>001000000=>3
[3,2,1,8,7,6,5,10,9,4]=>001000000=>3
[3,2,1,10,7,6,9,8,5,4]=>001000000=>3
[5,4,3,2,7,6,9,8,1,10]=>000000001=>9
[5,4,3,2,7,6,1,10,9,8]=>000000100=>7
[5,4,3,2,9,8,7,6,1,10]=>000000001=>9
[5,4,3,2,1,8,7,10,9,6]=>000010000=>5
[7,4,3,6,5,2,9,8,1,10]=>000000001=>9
[7,4,3,6,5,2,1,10,9,8]=>000000100=>7
[9,4,3,6,5,8,7,2,1,10]=>000000001=>9
[1,4,3,6,5,8,7,10,9,2]=>100000000=>1
[1,4,3,6,5,10,9,8,7,2]=>100000000=>1
[9,4,3,8,7,6,5,2,1,10]=>000000001=>9
[1,4,3,8,7,6,5,10,9,2]=>100000000=>1
[1,4,3,10,7,6,9,8,5,2]=>100000000=>1
[1,4,3,10,9,8,7,6,5,2]=>100000000=>1
[7,6,5,4,3,2,9,8,1,10]=>000000001=>9
[9,6,5,4,3,8,7,2,1,10]=>000000001=>9
[1,6,5,4,3,8,7,10,9,2]=>100000000=>1
[1,6,5,4,3,10,9,8,7,2]=>100000000=>1
[9,8,5,4,7,6,3,2,1,10]=>000000001=>9
[1,8,5,4,7,6,3,10,9,2]=>100000000=>1
[1,10,5,4,7,6,9,8,3,2]=>100000000=>1
[1,10,5,4,9,8,7,6,3,2]=>100000000=>1
[1,10,7,6,5,4,9,8,3,2]=>100000000=>1
[1,10,9,6,5,8,7,4,3,2]=>100000000=>1
[3,2,5,4,7,6,11,10,9,8,1,12]=>00000000001=>11
[3,2,5,4,9,8,7,6,11,10,1,12]=>00000000001=>11
[3,2,5,4,11,8,7,10,9,6,1,12]=>00000000001=>11
[3,2,5,4,11,10,9,8,7,6,1,12]=>00000000001=>11
[3,2,7,6,5,4,9,8,11,10,1,12]=>00000000001=>11
[3,2,7,6,5,4,11,10,9,8,1,12]=>00000000001=>11
[3,2,9,6,5,8,7,4,11,10,1,12]=>00000000001=>11
[3,2,11,6,5,8,7,10,9,4,1,12]=>00000000001=>11
[3,2,11,6,5,10,9,8,7,4,1,12]=>00000000001=>11
[3,2,9,8,7,6,5,4,11,10,1,12]=>00000000001=>11
[3,2,11,8,7,6,5,10,9,4,1,12]=>00000000001=>11
[3,2,11,10,7,6,9,8,5,4,1,12]=>00000000001=>11
[3,2,11,10,9,8,7,6,5,4,1,12]=>00000000001=>11
[5,4,3,2,7,6,9,8,11,10,1,12]=>00000000001=>11
[5,4,3,2,7,6,11,10,9,8,1,12]=>00000000001=>11
[5,4,3,2,9,8,7,6,11,10,1,12]=>00000000001=>11
[5,4,3,2,11,8,7,10,9,6,1,12]=>00000000001=>11
[5,4,3,2,11,10,9,8,7,6,1,12]=>00000000001=>11
[7,4,3,6,5,2,9,8,11,10,1,12]=>00000000001=>11
[7,4,3,6,5,2,11,10,9,8,1,12]=>00000000001=>11
[9,4,3,6,5,8,7,2,11,10,1,12]=>00000000001=>11
[11,4,3,6,5,8,7,10,9,2,1,12]=>00000000001=>11
[1,4,3,6,5,8,7,10,9,12,11,2]=>10000000000=>1
[1,4,3,6,5,8,7,12,11,10,9,2]=>10000000000=>1
[11,4,3,6,5,10,9,8,7,2,1,12]=>00000000001=>11
[1,4,3,6,5,10,9,8,7,12,11,2]=>10000000000=>1
[1,4,3,6,5,12,9,8,11,10,7,2]=>10000000000=>1
[1,4,3,6,5,12,11,10,9,8,7,2]=>10000000000=>1
[9,4,3,8,7,6,5,2,11,10,1,12]=>00000000001=>11
[11,4,3,8,7,6,5,10,9,2,1,12]=>00000000001=>11
[1,4,3,8,7,6,5,10,9,12,11,2]=>10000000000=>1
[1,4,3,8,7,6,5,12,11,10,9,2]=>10000000000=>1
[11,4,3,10,7,6,9,8,5,2,1,12]=>00000000001=>11
[1,4,3,10,7,6,9,8,5,12,11,2]=>10000000000=>1
[1,4,3,12,7,6,9,8,11,10,5,2]=>10000000000=>1
[1,4,3,12,7,6,11,10,9,8,5,2]=>10000000000=>1
[11,4,3,10,9,8,7,6,5,2,1,12]=>00000000001=>11
[1,4,3,10,9,8,7,6,5,12,11,2]=>10000000000=>1
[1,4,3,12,9,8,7,6,11,10,5,2]=>10000000000=>1
[1,4,3,12,11,8,7,10,9,6,5,2]=>10000000000=>1
[1,4,3,12,11,10,9,8,7,6,5,2]=>10000000000=>1
[7,6,5,4,3,2,9,8,11,10,1,12]=>00000000001=>11
[7,6,5,4,3,2,11,10,9,8,1,12]=>00000000001=>11
[9,6,5,4,3,8,7,2,11,10,1,12]=>00000000001=>11
[11,6,5,4,3,8,7,10,9,2,1,12]=>00000000001=>11
[1,6,5,4,3,8,7,10,9,12,11,2]=>10000000000=>1
[1,6,5,4,3,8,7,12,11,10,9,2]=>10000000000=>1
[11,6,5,4,3,10,9,8,7,2,1,12]=>00000000001=>11
[1,6,5,4,3,10,9,8,7,12,11,2]=>10000000000=>1
[1,6,5,4,3,12,9,8,11,10,7,2]=>10000000000=>1
[1,6,5,4,3,12,11,10,9,8,7,2]=>10000000000=>1
[9,8,5,4,7,6,3,2,11,10,1,12]=>00000000001=>11
[11,8,5,4,7,6,3,10,9,2,1,12]=>00000000001=>11
[1,8,5,4,7,6,3,10,9,12,11,2]=>10000000000=>1
[1,8,5,4,7,6,3,12,11,10,9,2]=>10000000000=>1
[11,10,5,4,7,6,9,8,3,2,1,12]=>00000000001=>11
[1,10,5,4,7,6,9,8,3,12,11,2]=>10000000000=>1
[1,12,5,4,7,6,9,8,11,10,3,2]=>10000000000=>1
[1,12,5,4,7,6,11,10,9,8,3,2]=>10000000000=>1
[11,10,5,4,9,8,7,6,3,2,1,12]=>00000000001=>11
[1,10,5,4,9,8,7,6,3,12,11,2]=>10000000000=>1
[1,12,5,4,9,8,7,6,11,10,3,2]=>10000000000=>1
[1,12,5,4,11,8,7,10,9,6,3,2]=>10000000000=>1
[1,12,5,4,11,10,9,8,7,6,3,2]=>10000000000=>1
[9,8,7,6,5,4,3,2,11,10,1,12]=>00000000001=>11
[11,8,7,6,5,4,3,10,9,2,1,12]=>00000000001=>11
[1,8,7,6,5,4,3,10,9,12,11,2]=>10000000000=>1
[1,8,7,6,5,4,3,12,11,10,9,2]=>10000000000=>1
[11,10,7,6,5,4,9,8,3,2,1,12]=>00000000001=>11
[1,10,7,6,5,4,9,8,3,12,11,2]=>10000000000=>1
[1,12,7,6,5,4,9,8,11,10,3,2]=>10000000000=>1
[1,12,7,6,5,4,11,10,9,8,3,2]=>10000000000=>1
[11,10,9,6,5,8,7,4,3,2,1,12]=>00000000001=>11
[1,10,9,6,5,8,7,4,3,12,11,2]=>10000000000=>1
[1,12,9,6,5,8,7,4,11,10,3,2]=>10000000000=>1
[1,12,11,6,5,8,7,10,9,4,3,2]=>10000000000=>1
[1,12,11,6,5,10,9,8,7,4,3,2]=>10000000000=>1
[11,10,9,8,7,6,5,4,3,2,1,12]=>00000000001=>11
[1,10,9,8,7,6,5,4,3,12,11,2]=>10000000000=>1
[1,12,9,8,7,6,5,4,11,10,3,2]=>10000000000=>1
[1,12,11,8,7,6,5,10,9,4,3,2]=>10000000000=>1
[1,12,11,10,7,6,9,8,5,4,3,2]=>10000000000=>1
[1,12,11,10,9,8,7,6,5,4,3,2]=>10000000000=>1
[1,5,7,2,4,3,6,8]=>1000001=>1
[1,6,5,3,2,4,7,8]=>1000011=>1
[1,7,2,4,6,5,3,8]=>1000001=>1
[1,4,7,2,6,5,3,8]=>1000001=>1
[1,2,6,8,7,4,3,5]=>1100000=>1
[1,2,7,4,3,5,8,6]=>1100000=>1
[1,6,2,8,7,4,3,5]=>1000000=>1
[1,7,4,2,3,5,8,6]=>1000000=>1
[1,8,5,2,3,6,4,7]=>1000000=>1
[1,7,4,8,5,2,3,6]=>1000000=>1
[1,4,7,5,2,8,6,3]=>1000000=>1
[1,6,3,7,4,2,8,5]=>1000000=>1
[1,8,5,2,7,4,3,6]=>1000000=>1
[1,4,8,7,5,3,2,6]=>1000000=>1
[1,2,5,8,6,3,7,4]=>1100000=>1
[1,2,4,7,5,8,6,3]=>1100000=>1
[1,5,8,7,6,2,4,3]=>1000000=>1
[1,3,5,8,7,6,2,4]=>1000000=>1
[1,5,2,4,3,6,8,7]=>1000110=>1
[1,6,8,7,5,3,2,4]=>1000000=>1
[1,2,5,7,4,3,8,6]=>1100000=>1
[1,5,3,2,6,8,7,4]=>1000000=>1
[1,4,2,6,8,7,5,3]=>1000000=>1
[1,5,8,6,3,2,7,4]=>1000000=>1
[1,8,5,2,6,3,4,7]=>1000000=>1
[1,7,4,6,3,2,8,5]=>1000000=>1
[1,6,3,2,8,5,4,7]=>1000000=>1
[1,3,8,6,4,2,5,7]=>1000000=>1
[1,5,7,4,2,3,8,6]=>1000000=>1
[6,3,7,5,4,2,8,1]=>0000000=>8
[7,5,2,6,3,4,8,1]=>0000000=>8
[3,8,2,7,5,4,1,6]=>0000000=>8
[5,4,8,6,7,1,2,3]=>0000000=>8
[2,7,3,6,8,5,4,1]=>0000000=>8
[3,7,2,8,1,6,4,5]=>0000000=>8
[2,5,8,7,1,4,3,6]=>0000000=>8
[3,4,6,5,8,2,7,1]=>0000000=>8
[4,2,7,1,6,8,3,5]=>0000000=>8
[5,2,8,6,4,7,1,3]=>0000000=>8
[8,4,7,2,5,3,1,6]=>0000000=>8
[8,3,4,5,2,1,7,6]=>0000000=>8
[8,6,1,4,7,3,5,2]=>0000000=>8
[5,3,6,7,2,8,4,1]=>0000000=>8
[8,6,1,4,7,5,2,3]=>0000000=>8
[1,5,8,2,6,7,4,3]=>1000000=>1
[7,1,3,6,5,2,8,4]=>0000000=>8
[8,2,1,4,5,7,6,3]=>0000000=>8
[1,4,7,5,2,3,8,6]=>1000000=>1
[6,1,7,5,4,2,8,3]=>0000000=>8
[2,7,3,6,5,1,8,4]=>0000000=>8
[8,6,5,1,3,7,4,2]=>0000000=>8
[5,7,6,2,4,8,1,3]=>0000000=>8
[3,7,5,6,4,8,1,2]=>0000000=>8
[7,6,8,1,3,5,4,2]=>0000000=>8
[2,8,4,6,1,7,5,3]=>0000000=>8
[2,8,6,4,7,3,5,1]=>0000000=>8
[8,7,1,4,6,5,3,2]=>0000000=>8
[3,5,8,6,7,1,4,2]=>0000000=>8
[1,2,4,6,8,5,3,7]=>1100000=>1
[3,1,5,8,6,2,4,7]=>0000000=>8
[2,5,4,6,8,1,3,7]=>0000000=>8
[6,5,2,4,7,8,1,3]=>0000000=>8
[7,2,5,8,6,4,1,3]=>0000000=>8
[5,2,8,3,4,7,6,1]=>0000000=>8
[2,4,3,8,7,1,6,5]=>0000000=>8
[1,5,8,7,4,2,6,3]=>1000000=>1
[6,8,7,5,4,3,1,2]=>0000000=>8
[3,4,5,8,6,2,7,1]=>0000000=>8
[5,1,7,4,3,6,8,2]=>0000000=>8
[4,3,7,6,8,2,1,5]=>0000000=>8
[6,1,8,5,2,7,3,4]=>0000000=>8
[8,7,1,6,4,5,2,3]=>0000000=>8
[5,4,1,3,7,2,8,6]=>0000000=>8
[3,1,8,7,5,2,4,6]=>0000000=>8
[6,5,8,7,2,4,3,1]=>0000000=>8
[4,3,6,5,8,2,1,7]=>0000000=>8
[4,7,3,1,8,5,2,6]=>0000000=>8
[7,5,1,4,2,3,6,8]=>0000001=>7
[7,8,6,1,2,4,5,3]=>0000000=>8
[5,1,7,8,6,2,3,4]=>0000000=>8
[8,5,1,6,7,2,3,4]=>0000000=>8
[1,8,3,6,4,5,7,2]=>1000000=>1
[7,1,6,2,5,3,4,8]=>0000001=>7
[8,1,2,7,4,5,6,3]=>0000000=>8
[7,1,8,2,5,3,4,6]=>0000000=>8
[5,1,7,2,6,3,4,8]=>0000001=>7
[1,6,3,7,4,5,8,2]=>1000000=>1
[2,4,7,3,5,1,6,8]=>0000001=>7
[2,4,8,6,3,5,1,7]=>0000000=>8
[2,3,7,5,4,1,6,8]=>0000001=>7
[3,4,6,2,1,5,8,7]=>0000010=>6
[3,4,7,2,1,6,5,8]=>0000001=>7
[2,3,6,1,5,8,4,7]=>0000000=>8
[2,3,7,1,6,5,8,4]=>0000000=>8
[2,4,7,1,3,6,8,5]=>0000000=>8
[5,4,7,8,1,3,2,6]=>0000000=>8
[2,5,7,1,4,6,3,8]=>0000001=>7
[2,4,7,1,6,3,5,8]=>0000001=>7
[2,3,7,1,6,5,4,8]=>0000001=>7
[2,5,7,1,4,3,6,8]=>0000001=>7
[2,5,7,3,1,4,6,8]=>0000001=>7
[3,4,7,2,1,6,8,5]=>0000000=>8
[4,6,3,7,1,5,2,8]=>0000001=>7
[5,7,3,2,8,1,4,6]=>0000000=>8
[2,6,5,7,1,8,4,3]=>0000000=>8
[5,4,7,8,1,3,6,2]=>0000000=>8
[2,5,7,1,4,6,8,3]=>0000000=>8
[2,4,7,1,6,3,8,5]=>0000000=>8
[2,4,7,1,6,8,3,5]=>0000000=>8
[1,8,3,4,5,6,7,9,2]=>10000000=>1
[6,5,1,4,8,3,2,7]=>0000000=>8
[8,7,5,1,4,2,3,6]=>0000000=>8
[8,7,5,1,4,2,6,3]=>0000000=>8
[4,2,5,7,3,1,6,8]=>0000001=>7
[8,2,4,5,3,1,6,7]=>0000000=>8
[8,4,5,1,3,2,6,7]=>0000000=>8
[4,3,7,5,2,1,6,8]=>0000001=>7
[1,6,7,4,3,2,5,8]=>1000001=>1
[1,4,5,7,3,2,6,8]=>1000001=>1
[3,5,1,4,7,2,6,8]=>0000001=>7
[2,5,1,4,7,8,3,6]=>0000000=>8
[4,3,7,1,5,2,6,8]=>0000001=>7
[3,5,1,6,4,2,7,8]=>0000011=>6
[6,4,3,1,7,2,5,8]=>0000001=>7
[6,2,7,4,3,1,5,8]=>0000001=>7
[2,6,4,1,7,3,5,8]=>0000001=>7
[6,3,2,7,4,5,1,8]=>0000001=>7
[7,2,4,1,3,6,8,5]=>0000000=>8
[6,3,2,5,7,1,4,8]=>0000001=>7
[3,2,6,5,7,1,4,8]=>0000001=>7
[1,7,3,2,5,6,4,8]=>1000001=>1
[2,1,7,3,5,6,8,4]=>0100000=>2
[2,1,6,3,5,7,8,4]=>0100000=>2
[1,6,3,2,5,7,4,8]=>1000001=>1
[1,4,6,5,2,7,3,8]=>1000001=>1
[5,6,2,1,4,3,7,8]=>0000011=>6
[2,5,1,6,4,3,7,8]=>0000011=>6
[2,5,4,1,6,3,7,8]=>0000011=>6
[4,6,1,5,2,7,3,8]=>0000001=>7
[1,6,5,3,7,2,4,8]=>1000001=>1
[1,2,5,3,4,8,7,6]=>1100100=>1
[5,8,2,6,1,7,4,3]=>0000000=>8
[1,5,8,3,6,2,7,4]=>1000000=>1
[1,2,6,4,7,3,8,5]=>1100000=>1
[1,2,7,8,3,5,6,4]=>1100000=>1
[2,6,1,8,5,4,3,7]=>0000000=>8
[5,8,6,2,1,4,3,7]=>0000000=>8
[4,5,8,6,2,1,3,7]=>0000000=>8
[6,4,7,5,8,2,1,3]=>0000000=>8
[4,2,8,5,3,6,1,7]=>0000000=>8
[8,1,7,4,5,6,2,3]=>0000000=>8
[2,1,7,8,4,5,6,3]=>0100000=>2
[8,2,1,4,3,7,6,5]=>0000000=>8
[7,6,5,3,1,2,8,4]=>0000000=>8
[5,4,1,6,2,8,3,7]=>0000000=>8
[6,2,3,1,7,8,4,5]=>0000000=>8
[3,1,8,6,7,2,4,5]=>0000000=>8
[4,5,3,7,1,6,8,2]=>0000000=>8
[4,2,8,5,3,6,7,1]=>0000000=>8
[3,5,2,8,6,4,7,1]=>0000000=>8
[7,3,5,1,6,4,8,2]=>0000000=>8
[5,1,4,7,2,6,8,3]=>0000000=>8
[2,7,1,4,8,5,6,3]=>0000000=>8
[8,3,7,6,2,1,5,4]=>0000000=>8
[8,5,2,7,6,1,4,3]=>0000000=>8
[5,8,2,7,6,1,4,3]=>0000000=>8
[2,6,3,7,5,4,8,1]=>0000000=>8
[2,8,5,1,4,7,3,6]=>0000000=>8
[7,2,6,5,8,4,3,1]=>0000000=>8
[6,1,3,4,2,5,7,8]=>0000011=>6
[1,5,6,3,2,4,7,8]=>1000011=>1
[6,3,5,2,4,1,7,8]=>0000011=>6
[7,8,3,5,2,4,6,1]=>0000000=>8
[2,4,5,7,3,6,1,8]=>0000001=>7
[2,5,3,1,6,4,7,8]=>0000011=>6
[6,5,1,3,4,2,7,8]=>0000011=>6
[5,7,4,3,2,6,1,8]=>0000001=>7
[6,8,7,4,3,5,1,2]=>0000000=>8
[2,6,7,8,4,3,5,1]=>0000000=>8
[1,7,8,4,5,3,6,2]=>1000000=>1
[7,1,8,5,3,4,6,2]=>0000000=>8
[5,7,4,2,1,6,3,8]=>0000001=>7
[5,1,4,7,3,6,2,8]=>0000001=>7
[7,4,8,6,3,5,2,1]=>0000000=>8
[4,7,6,3,5,2,1,8]=>0000001=>7
[1,6,5,8,7,4,2,3]=>1000000=>1
[6,1,3,8,7,5,2,4]=>0000000=>8
[7,6,2,1,8,3,5,4]=>0000000=>8
[7,1,3,6,8,2,5,4]=>0000000=>8
[1,7,5,6,8,2,4,3]=>1000000=>1
[3,6,7,5,8,2,4,1]=>0000000=>8
[1,7,4,5,2,8,6,3]=>1000000=>1
[7,5,4,2,1,8,6,3]=>0000000=>8
[3,6,7,4,2,8,5,1]=>0000000=>8
[4,6,3,2,7,8,5,1]=>0000000=>8
[7,6,1,3,4,2,5,8]=>0000001=>7
[7,8,2,6,4,5,3,1]=>0000000=>8
[7,2,5,4,6,1,3,8]=>0000001=>7
[7,1,2,4,5,6,3,8]=>0000001=>7
[7,3,2,1,5,6,4,8]=>0000001=>7
[3,6,2,1,7,5,4,8]=>0000001=>7
[2,6,7,3,1,5,4,8]=>0000001=>7
[2,1,6,4,7,5,3,8]=>0100001=>2
[7,2,8,5,6,4,3,1]=>0000000=>8
[7,6,8,5,4,1,3,2]=>0000000=>8
[7,1,8,4,6,5,3,2]=>0000000=>8
[7,8,6,3,1,5,4,2]=>0000000=>8
[7,6,1,4,5,3,2,8]=>0000001=>7
[7,1,5,6,4,3,2,8]=>0000001=>7
[5,6,3,2,8,1,7,4]=>0000000=>8
[8,2,6,3,1,5,7,4]=>0000000=>8
[8,2,5,3,4,7,6,1]=>0000000=>8
[7,5,3,2,4,1,8,6]=>0000000=>8
[7,1,2,3,6,8,4,5]=>0000000=>8
[3,1,8,4,6,5,7,2]=>0000000=>8
[8,1,6,7,4,2,3,5]=>0000000=>8
[8,1,6,4,5,2,3,7]=>0000000=>8
[8,6,4,1,2,3,7,5]=>0000000=>8
[8,6,1,4,2,5,7,3]=>0000000=>8
[8,6,4,1,5,7,2,3]=>0000000=>8
[8,6,1,4,7,2,5,3]=>0000000=>8
[8,6,4,1,5,2,3,7]=>0000000=>8
[8,6,7,1,4,5,2,3]=>0000000=>8
[3,4,7,5,8,2,6,1]=>0000000=>8
[8,7,1,4,6,5,2,3]=>0000000=>8
[8,3,7,6,4,5,1,2]=>0000000=>8
[5,3,8,6,4,1,7,2]=>0000000=>8
[10,8,1,9,2,3,4,5,6,7]=>000000000=>10
[6,1,2,3,4,5,7,8,9]=>00000111=>6
[5,1,2,3,4,6,7,8,9]=>00001111=>5
[4,1,2,3,5,6,7,8,9]=>00011111=>4
[6,4,7,1,8,5,2,3]=>0000000=>8
[3,8,2,5,1,7,4,6]=>0000000=>8
[4,8,5,2,1,7,3,6]=>0000000=>8
[6,8,7,5,2,4,1,3]=>0000000=>8
[8,6,4,1,7,3,2,5]=>0000000=>8
[8,9,2,3,4,5,6,7,1]=>00000000=>9
[9,8,7,6,4,5,3,2,1]=>00000000=>9
[5,6,7,8,9,1,4,3,2]=>00000000=>9
[3,4,7,8,5,1,2,6]=>0000000=>8
[4,7,3,2,5,6,8,1]=>0000000=>8
[3,2,7,6,4,5,8,1]=>0000000=>8
[1,7,3,6,8,4,2,5]=>1000000=>1
[2,3,6,5,1,8,7,4]=>0000000=>8
[8,3,1,2,6,4,7,5]=>0000000=>8
[1,7,8,2,4,3,5,6]=>1000000=>1
[3,6,4,7,1,2,8,5]=>0000000=>8
[5,7,4,8,1,3,2,6]=>0000000=>8
[4,3,7,8,1,5,2,6]=>0000000=>8
[8,5,4,2,6,1,7,3]=>0000000=>8
[3,2,6,8,7,4,1,5]=>0000000=>8
[2,3,7,5,1,8,6,4]=>0000000=>8
[6,3,1,2,8,7,4,5]=>0000000=>8
[5,2,1,3,8,7,6,4]=>0000000=>8
[7,2,1,5,3,8,4,6]=>0000000=>8
[1,5,8,2,4,3,6,7]=>1000000=>1
[4,3,6,8,1,5,2,7]=>0000000=>8
[5,4,6,8,3,1,7,2]=>0000000=>8
[3,6,8,4,5,1,7,2]=>0000000=>8
[8,6,1,7,2,4,3,5]=>0000000=>8
[7,3,1,2,8,6,4,5]=>0000000=>8
[2,3,7,6,1,8,5,4]=>0000000=>8
[3,2,7,8,6,4,1,5]=>0000000=>8
[6,2,8,3,1,4,7,5]=>0000000=>8
[3,1,2,8,7,4,5,6]=>0010000=>3
[2,1,3,8,7,4,6,5]=>0110000=>2
[2,1,3,8,7,4,5,6]=>0110000=>2
[1,6,8,3,2,4,7,5]=>1000000=>1
[8,5,1,7,2,4,3,6]=>0000000=>8
[8,4,1,7,3,2,5,6]=>0000000=>8
[8,3,1,6,2,7,5,4]=>0000000=>8
[1,3,2,8,7,6,4,5]=>1010000=>1
[2,1,3,8,7,6,4,5]=>0110000=>2
[1,6,3,7,2,5,4,8]=>1000001=>1
[1,7,2,4,6,3,5,8]=>1000001=>1
[3,5,8,4,2,1,6,7]=>0000000=>8
[2,5,8,3,1,4,6,7]=>0000000=>8
[2,8,1,3,5,7,4,6]=>0000000=>8
[3,4,8,5,7,1,2,6]=>0000000=>8
[3,6,8,7,2,5,4,1]=>0000000=>8
[2,4,6,7,8,3,5,1]=>0000000=>8
[1,4,2,5,7,6,3,8]=>1000001=>1
[1,4,2,6,8,5,3,7]=>1000000=>1
[1,2,6,8,3,5,4,7]=>1100000=>1
[1,6,8,3,5,4,2,7]=>1000000=>1
[1,5,3,2,4,6,8,7]=>1000110=>1
[1,5,8,7,6,3,2,4]=>1000000=>1
[1,5,7,6,3,2,4,8]=>1000001=>1
[1,6,3,2,4,7,5,8]=>1000001=>1
[1,6,3,2,4,8,7,5]=>1000000=>1
[1,2,7,6,4,3,5,8]=>1100001=>1
[1,8,7,5,2,4,6,3]=>1000000=>1
[1,7,5,2,4,6,3,8]=>1000001=>1
[1,7,4,2,5,3,6,8]=>1000001=>1
[1,8,4,7,5,2,6,3]=>1000000=>1
[1,7,5,2,3,6,4,8]=>1000001=>1
[1,7,5,2,6,3,4,8]=>1000001=>1
[1,6,3,7,4,2,5,8]=>1000001=>1
[1,6,3,2,7,5,4,8]=>1000001=>1
[1,4,7,5,2,6,3,8]=>1000001=>1
[1,3,6,4,8,7,5,2]=>1000000=>1
[1,3,7,6,4,2,5,8]=>1000001=>1
[1,3,2,4,8,5,7,6]=>1011000=>1
[1,3,8,7,5,2,4,6]=>1000000=>1
[1,4,6,3,2,7,5,8]=>1000001=>1
[1,4,6,3,2,8,7,5]=>1000000=>1
[1,5,7,6,4,2,3,8]=>1000001=>1
[1,6,3,2,8,4,7,5]=>1000000=>1
[1,6,3,5,2,7,4,8]=>1000001=>1
[1,6,3,5,2,8,7,4]=>1000000=>1
[1,8,3,7,5,2,4,6]=>1000000=>1
[7,8,4,9,5,2,10,6,3,1]=>000000000=>10
[1,3,4,2,8,5,7,6]=>1001000=>1
[3,2,1,4,8,5,7,6]=>0011000=>3
[7,4,1,6,2,5,3,8]=>0000001=>7
[5,4,1,8,2,6,3,7]=>0000000=>8
[6,5,1,4,2,7,3,8]=>0000001=>7
[1,8,7,3,4,5,2,6]=>1000000=>1
[1,8,9,3,4,5,6,7,2]=>10000000=>1
[1,8,7,4,5,2,3,6]=>1000000=>1
[1,2,6,8,7,3,4,5]=>1100000=>1
[1,3,7,8,4,5,6,2]=>1000000=>1
[1,3,4,5,6,7,8,9,10,11,12,2]=>10000000000=>1
[6,4,2,1,8,5,3,7]=>0000000=>8
[2,8,6,4,5,1,7,3]=>0000000=>8
[2,6,3,1,7,4,8,5]=>0000000=>8
[1,8,7,4,5,3,2,6]=>1000000=>1
[2,8,3,1,4,5,7,6]=>0000000=>8
[6,1,7,2,8,4,5,3]=>0000000=>8
[8,3,2,1,5,6,7,4]=>0000000=>8
[3,2,6,7,8,4,5,1]=>0000000=>8
[4,5,3,1,8,7,6,2]=>0000000=>8
[6,3,4,2,7,8,5,1]=>0000000=>8
[5,1,8,4,3,7,2,6]=>0000000=>8
[7,2,8,1,4,5,6,3]=>0000000=>8
[2,3,4,5,10,6,7,8,9,1]=>000000000=>10
[8,1,6,7,2,5,4,3]=>0000000=>8
[8,1,4,6,5,3,2,7]=>0000000=>8
[8,1,4,7,6,5,2,3]=>0000000=>8
[8,1,2,7,6,5,4,3]=>0000000=>8
[3,2,8,6,1,5,7,4]=>0000000=>8
[3,7,2,5,8,4,6,1]=>0000000=>8
[6,7,8,4,1,5,2,3]=>0000000=>8
[6,2,7,4,5,3,1,8]=>0000001=>7
[6,1,8,7,4,5,2,3]=>0000000=>8
[1,3,2,6,8,7,4,5]=>1010000=>1
[1,3,8,2,5,4,6,7]=>1000000=>1
[1,6,2,5,8,7,3,4]=>1000000=>1
[1,6,8,7,2,3,5,4]=>1000000=>1
[1,6,8,7,2,5,3,4]=>1000000=>1
[1,5,2,4,8,3,6,7]=>1000000=>1
[1,2,4,5,8,6,3,7]=>1100000=>1
[1,2,8,3,5,4,7,6]=>1100000=>1
[1,3,8,2,5,4,7,6]=>1000000=>1
[1,6,7,5,2,4,8,3]=>1000000=>1
[1,5,6,4,7,2,3,8]=>1000001=>1
[1,7,4,2,5,8,3,6]=>1000000=>1
[1,6,4,3,7,5,2,8]=>1000001=>1
[1,6,5,4,7,2,3,8]=>1000001=>1
[1,7,3,2,6,4,8,5]=>1000000=>1
[1,5,8,2,3,6,7,4]=>1000000=>1
[1,3,2,6,8,5,4,7]=>1010000=>1
[1,6,3,2,7,4,5,8]=>1000001=>1
[1,7,8,5,4,2,3,6]=>1000000=>1
[1,8,4,2,3,6,5,7]=>1000000=>1
[1,4,2,7,5,3,8,6]=>1000000=>1
[1,5,7,6,2,4,3,8]=>1000001=>1
[1,8,4,7,3,2,6,5]=>1000000=>1
[1,3,8,4,2,6,5,7]=>1000000=>1
[1,7,4,2,6,5,8,3]=>1000000=>1
[1,6,5,8,3,7,4,2]=>1000000=>1
[1,7,4,8,3,2,5,6]=>1000000=>1
[1,4,8,3,2,7,5,6]=>1000000=>1
[1,8,3,6,4,5,2,7]=>1000000=>1
[1,6,4,7,3,2,8,5]=>1000000=>1
[7,6,3,2,1,8,4,5]=>0000000=>8
[7,1,6,5,4,3,8,2]=>0000000=>8
[5,1,7,3,8,6,2,4]=>0000000=>8
[3,4,5,6,1,8,9,2,7]=>00000000=>9
[3,4,5,6,8,1,9,2,7]=>00000000=>9
[3,4,5,6,8,9,1,2,7]=>00000000=>9
[2,4,5,1,6,7,8,9,3]=>00000000=>9
[2,3,4,1,6,7,8,9,5]=>00010000=>4
[2,3,4,5,6,1,8,9,10,7]=>000001000=>6
[3,4,5,6,1,2,9,7,8]=>00000100=>6
[3,4,5,6,8,1,2,7,9]=>00000001=>8
[2,3,4,5,6,8,9,1,10,7]=>000000000=>10
[3,4,5,1,6,7,8,2,9]=>00000001=>8
[5,6,1,7,8,9,2,3,4]=>00000000=>9
[4,5,6,1,7,8,9,10,2,3]=>000000000=>10
[1,3,5,2,6,7,8,9,4]=>10000000=>1
[3,5,6,1,7,8,9,10,2,4]=>000000000=>10
[2,1,4,3,6,7,8,9,5]=>01010000=>2
[3,4,6,1,7,8,9,10,2,5]=>000000000=>10
[2,3,1,5,6,7,8,9,4]=>00100000=>3
[3,4,5,1,7,8,9,10,2,6]=>000000000=>10
[3,2,5,8,7,4,1,6]=>0000000=>8
[4,2,5,8,7,3,1,6]=>0000000=>8
[8,3,4,1,6,5,2,7]=>0000000=>8
[3,4,8,5,7,2,1,6]=>0000000=>8
[3,6,4,8,5,7,2,1]=>0000000=>8
[5,8,4,7,3,6,2,1]=>0000000=>8
[4,2,8,7,3,1,6,5]=>0000000=>8
[6,5,8,2,1,7,4,3]=>0000000=>8
[6,1,4,3,8,7,2,5]=>0000000=>8
[5,1,3,2,6,8,7,4]=>0000000=>8
[6,1,3,8,7,2,4,5]=>0000000=>8
[1,2,8,4,5,7,3,6]=>1100000=>1
[4,2,1,8,7,6,3,5]=>0000000=>8
[3,2,5,8,7,1,4,6]=>0000000=>8
[5,6,3,8,7,2,1,4]=>0000000=>8
[2,5,8,4,7,1,6,3]=>0000000=>8
[1,6,2,4,8,5,7,3]=>1000000=>1
[3,1,6,5,8,7,2,4]=>0000000=>8
[4,8,5,3,6,7,1,2]=>0000000=>8
[1,8,5,3,4,7,6,2]=>1000000=>1
[2,7,1,3,6,4,5,8]=>0000001=>7
[3,2,4,8,5,7,1,6]=>0000000=>8
[8,1,2,4,7,5,6,3]=>0000000=>8
[6,4,5,8,3,1,7,2]=>0000000=>8
[4,6,2,8,5,3,7,1]=>0000000=>8
[8,7,2,4,1,5,3,6]=>0000000=>8
[7,5,3,4,8,6,2,1]=>0000000=>8
[4,3,6,5,1,2,7,8]=>0000011=>6
[5,8,3,7,6,4,2,1]=>0000000=>8
[1,3,8,7,6,5,2,4]=>1000000=>1
[1,8,7,2,6,3,5,4]=>1000000=>1
[8,7,2,1,4,3,5,6]=>0000000=>8
[2,8,7,1,6,3,4,5]=>0000000=>8
[4,2,8,7,6,5,1,3]=>0000000=>8
[1,2,5,7,4,8,6,3]=>1100000=>1
[6,2,1,8,7,5,3,4]=>0000000=>8
[2,8,3,4,1,5,6,7]=>0000000=>8
[1,3,7,5,4,8,6,2]=>1000000=>1
[1,5,6,3,8,4,2,7]=>1000000=>1
[2,6,5,3,8,4,1,7]=>0000000=>8
[5,7,3,8,4,2,6,1]=>0000000=>8
[5,3,6,2,8,4,1,7]=>0000000=>8
[2,3,6,5,4,8,1,7]=>0000000=>8
[5,3,7,1,2,8,4,6]=>0000000=>8
[6,3,8,7,2,5,4,1]=>0000000=>8
[1,2,3,4,6,5,7,8,9]=>11110111=>1
[1,2,3,5,4,6,7,8,9]=>11101111=>1
[8,1,4,6,7,5,2,3]=>0000000=>8
[6,4,8,1,2,7,5,3]=>0000000=>8
[8,2,1,6,7,4,5,3]=>0000000=>8
[4,2,8,1,6,7,5,3]=>0000000=>8
[4,8,2,1,6,7,5,3]=>0000000=>8
[8,2,4,6,1,7,5,3]=>0000000=>8
[2,1,4,5,6,7,8,9,10,3]=>010000000=>2
[2,3,4,1,6,5,8,7,10,9]=>000101010=>4
[2,3,4,1,6,7,8,9,10,5]=>000100000=>4
[4,3,5,6,7,8,9,10,1,2]=>000000000=>10
[2,3,4,5,6,1,8,7,10,9]=>000001010=>6
[2,3,4,5,6,7,8,1,10,9]=>000000010=>8
[2,3,4,5,6,7,8,9,10,1,12,11]=>00000000010=>10
[4,6,1,3,2,8,7,5]=>0000000=>8
[7,1,4,8,2,3,6,5]=>0000000=>8
[4,5,3,6,7,1,8,2]=>0000000=>8
[1,4,7,8,3,5,2,6]=>1000000=>1
[4,6,1,3,5,2,8,7]=>0000010=>6
[2,5,1,4,8,3,7,6]=>0000000=>8
[6,1,2,5,4,8,7,3]=>0000000=>8
[8,4,1,2,5,7,3,6]=>0000000=>8
[2,4,5,6,8,3,1,7]=>0000000=>8
[3,4,5,8,6,2,1,7]=>0000000=>8
[1,8,2,3,4,5,9,6,7]=>10000000=>1
[8,3,7,2,1,6,5,4]=>0000000=>8
[8,4,7,6,2,5,1,3]=>0000000=>8
[8,4,7,3,6,2,1,5]=>0000000=>8
[3,8,7,5,6,4,1,2]=>0000000=>8
[3,8,7,5,6,2,1,4]=>0000000=>8
[3,8,7,5,6,2,4,1]=>0000000=>8
[2,8,7,5,6,4,1,3]=>0000000=>8
[4,5,2,3,6,7,8,9,1]=>00000000=>9
[4,3,2,5,6,7,8,9,1]=>00000000=>9
[5,6,7,2,3,4,8,9,1]=>00000000=>9
[5,3,6,2,4,7,8,9,1]=>00000000=>9
[5,4,3,2,6,7,8,9,1]=>00000000=>9
[6,3,7,8,2,4,5,9,1]=>00000000=>9
[6,7,4,5,2,3,8,9,1]=>00000000=>9
[6,4,3,7,2,5,8,9,1]=>00000000=>9
[7,8,4,5,9,2,3,6,1]=>00000000=>9
[7,4,3,8,9,2,5,6,1]=>00000000=>9
[7,5,8,3,6,2,4,9,1]=>00000000=>9
[7,5,4,3,8,2,6,9,1]=>00000000=>9
[7,6,5,4,3,2,8,9,1]=>00000000=>9
[8,6,4,9,3,7,2,5,1]=>00000000=>9
[8,6,5,4,3,9,2,7,1]=>00000000=>9
[4,5,2,3,6,7,8,9,10,1]=>000000000=>10
[4,3,2,5,6,7,8,9,10,1]=>000000000=>10
[5,6,7,2,3,4,8,9,10,1]=>000000000=>10
[5,3,6,2,4,7,8,9,10,1]=>000000000=>10
[5,4,3,2,6,7,8,9,10,1]=>000000000=>10
[6,7,8,9,2,3,4,5,10,1]=>000000000=>10
[6,3,7,8,2,4,5,9,10,1]=>000000000=>10
[6,7,4,5,2,3,8,9,10,1]=>000000000=>10
[6,4,3,7,2,5,8,9,10,1]=>000000000=>10
[6,5,4,3,2,7,8,9,10,1]=>000000000=>10
[7,8,9,10,1,3,4,5,6,2]=>000000000=>10
[7,3,8,9,10,2,4,5,6,1]=>000000000=>10
[7,4,3,8,9,2,5,6,10,1]=>000000000=>10
[7,5,8,3,6,2,4,9,10,1]=>000000000=>10
[7,5,4,3,8,2,6,9,10,1]=>000000000=>10
[7,6,5,4,3,2,8,9,10,1]=>000000000=>10
[8,5,9,3,6,10,2,4,7,1]=>000000000=>10
[8,5,4,3,9,10,2,6,7,1]=>000000000=>10
[8,9,6,7,4,5,2,3,10,1]=>000000000=>10
[8,6,4,9,3,7,2,5,10,1]=>000000000=>10
[8,6,5,4,3,9,2,7,10,1]=>000000000=>10
[8,7,6,5,4,3,2,9,10,1]=>000000000=>10
[9,7,5,4,10,3,8,2,6,1]=>000000000=>10
[9,7,6,5,4,3,10,2,8,1]=>000000000=>10
[1,5,6,3,8,2,7,4]=>1000000=>1
[2,6,3,8,4,7,1,5]=>0000000=>8
[2,6,3,5,7,8,1,4]=>0000000=>8
[1,5,6,3,7,2,8,4]=>1000000=>1
[1,7,5,3,6,2,8,4]=>1000000=>1
[1,5,7,3,4,2,8,6]=>1000000=>1
[1,5,8,3,4,2,7,6]=>1000000=>1
[1,4,5,3,7,2,8,6]=>1000000=>1
[1,4,5,3,8,2,7,6]=>1000000=>1
[6,5,1,4,2,7,8,3]=>0000000=>8
[6,5,1,4,2,8,7,3]=>0000000=>8
[1,7,5,4,2,8,6,3]=>1000000=>1
[2,4,1,5,3,6,7,8,9]=>00001111=>5
[1,4,8,2,6,5,3,7]=>1000000=>1
[7,5,1,8,3,4,2,6]=>0000000=>8
[1,2,5,6,8,7,3,4]=>1100000=>1
[2,6,7,3,4,1,8,5]=>0000000=>8
[1,6,5,7,8,2,4,3]=>1000000=>1
[1,3,7,2,6,4,8,5]=>1000000=>1
[1,6,5,8,7,2,4,3]=>1000000=>1
[3,6,5,8,1,2,7,4]=>0000000=>8
[5,4,7,8,1,6,3,2]=>0000000=>8
[2,5,6,8,1,3,7,4]=>0000000=>8
[5,3,6,8,1,2,7,4]=>0000000=>8
[4,6,5,8,3,2,7,1]=>0000000=>8
[4,5,6,8,2,3,7,1]=>0000000=>8
[2,5,8,7,1,6,4,3]=>0000000=>8
[4,7,5,8,3,6,2,1]=>0000000=>8
[7,3,6,8,5,2,1,4]=>0000000=>8
[8,3,6,7,5,2,4,1]=>0000000=>8
[8,4,5,7,3,6,2,1]=>0000000=>8
[2,4,7,8,5,6,3,1]=>0000000=>8
[3,6,8,7,5,2,4,1]=>0000000=>8
[6,4,7,8,5,1,3,2]=>0000000=>8
[7,8,4,6,5,3,1,2]=>0000000=>8
[6,8,4,7,5,1,3,2]=>0000000=>8
[8,9,2,3,4,5,1,6,7]=>00000000=>9
[6,5,7,8,9,1,2,3,4]=>00000000=>9
[7,6,1,2,3,5,4,8]=>0000001=>7
[2,8,7,5,1,6,3,4]=>0000000=>8
[8,7,6,4,2,1,5,3]=>0000000=>8
[3,8,7,5,2,6,4,1]=>0000000=>8
[3,8,7,5,1,2,6,4]=>0000000=>8
[5,3,8,2,4,6,1,7]=>0000000=>8
[4,5,8,3,2,6,1,7]=>0000000=>8
[5,8,2,1,4,6,3,7]=>0000000=>8
[4,1,5,8,3,6,2,7]=>0000000=>8
[4,5,8,3,6,1,2,7]=>0000000=>8
[3,2,7,1,8,5,4,6]=>0000000=>8
[4,7,8,5,2,3,1,6]=>0000000=>8
[6,2,7,8,1,5,3,4]=>0000000=>8
[2,6,7,8,4,1,3,5]=>0000000=>8
[2,6,7,8,4,3,1,5]=>0000000=>8
[7,1,2,3,4,5,8,6,9]=>00000001=>8
[6,1,2,3,4,7,5,8,9]=>00000011=>7
[5,1,2,3,6,4,7,8,9]=>00000111=>6
[4,1,2,5,3,6,7,8,9]=>00001111=>5
[8,1,2,6,5,3,7,4]=>0000000=>8
[8,5,4,6,1,2,7,3]=>0000000=>8
[7,4,1,8,2,5,3,6]=>0000000=>8
[8,4,5,3,1,6,7,2]=>0000000=>8
[8,2,3,1,6,7,4,5]=>0000000=>8
[8,2,1,7,4,3,5,6]=>0000000=>8
[3,7,5,8,2,4,6,1]=>0000000=>8
[3,5,6,8,4,7,1,2]=>0000000=>8
[6,2,8,4,5,3,7,1]=>0000000=>8
[4,7,3,1,8,6,2,5]=>0000000=>8
[7,2,5,8,1,3,6,4]=>0000000=>8
[6,1,2,4,5,7,8,3]=>0000000=>8
[3,6,4,5,2,8,1,7]=>0000000=>8
[8,1,5,4,7,3,6,2]=>0000000=>8
[7,6,5,4,1,8,2,3]=>0000000=>8
[8,1,5,4,7,6,3,2]=>0000000=>8
[2,5,1,4,6,7,3,8]=>0000001=>7
[7,6,5,2,8,4,1,3]=>0000000=>8
[3,1,6,5,2,8,7,4]=>0000000=>8
[1,7,2,4,3,5,8,6]=>1000000=>1
[3,8,1,7,4,2,6,5]=>0000000=>8
[8,1,7,4,3,5,6,2]=>0000000=>8
[6,8,2,4,5,3,7,1]=>0000000=>8
[4,8,5,3,6,1,7,2]=>0000000=>8
[2,7,3,1,8,4,5,6]=>0000000=>8
[1,2,8,3,5,6,4,7]=>1100000=>1
[3,5,7,4,8,1,6,2]=>0000000=>8
[1,5,2,8,6,4,3,7]=>1000000=>1
[7,4,8,6,3,1,2,5]=>0000000=>8
[3,6,8,4,1,2,5,7]=>0000000=>8
[4,7,8,5,2,1,3,6]=>0000000=>8
[6,1,5,2,8,7,3,4]=>0000000=>8
[8,1,3,5,7,4,2,6]=>0000000=>8
[3,1,8,5,4,7,2,6]=>0000000=>8
[3,1,6,4,8,5,2,7]=>0000000=>8
[5,1,3,4,2,6,8,7]=>0000110=>5
[3,2,6,4,1,5,7,8]=>0000011=>6
[5,4,2,1,8,3,6,7]=>0000000=>8
[4,2,5,1,8,7,3,6]=>0000000=>8
[6,8,2,7,1,4,3,5]=>0000000=>8
[1,8,4,7,3,2,5,6]=>1000000=>1
[8,6,3,1,5,7,2,4]=>0000000=>8
[5,8,3,1,4,7,6,2]=>0000000=>8
[1,2,5,4,7,8,3,6]=>1100000=>1
[1,8,3,2,6,4,7,5]=>1000000=>1
[4,7,1,2,5,3,6,8]=>0000001=>7
[6,8,4,1,3,7,2,5]=>0000000=>8
[3,2,6,1,7,8,5,4]=>0000000=>8
[7,6,4,1,8,3,5,2]=>0000000=>8
[5,4,1,6,7,3,2,8]=>0000001=>7
[7,4,1,6,5,8,2,3]=>0000000=>8
[8,5,4,1,6,7,3,2]=>0000000=>8
[1,3,4,8,5,2,6,7]=>1000000=>1
[7,3,1,4,2,5,8,6]=>0000000=>8
[3,2,5,7,8,4,1,6]=>0000000=>8
[8,6,3,5,4,1,2,7]=>0000000=>8
[8,3,2,6,1,5,4,7]=>0000000=>8
[8,5,1,7,4,6,2,3]=>0000000=>8
[4,8,1,7,6,3,5,2]=>0000000=>8
[8,5,1,7,4,3,6,2]=>0000000=>8
[8,5,7,6,2,1,3,4]=>0000000=>8
[5,4,8,3,1,7,2,6]=>0000000=>8
[5,1,4,8,3,2,7,6]=>0000000=>8
[4,8,1,7,6,5,2,3]=>0000000=>8
[4,3,8,7,2,6,1,5]=>0000000=>8
[3,8,7,2,6,4,1,5]=>0000000=>8
[8,2,5,7,4,3,6,1]=>0000000=>8
[3,8,7,4,6,1,2,5]=>0000000=>8
[8,7,6,3,5,4,1,2]=>0000000=>8
[2,8,4,7,6,1,5,3]=>0000000=>8
[2,5,4,8,3,1,7,6]=>0000000=>8
[5,4,8,2,1,3,7,6]=>0000000=>8
[3,8,7,2,6,1,5,4]=>0000000=>8
[1,8,4,7,6,3,5,2]=>1000000=>1
[1,8,3,7,6,5,2,4]=>1000000=>1
[1,4,3,8,7,2,6,5]=>1000000=>1
[7,1,5,4,6,2,3,8]=>0000001=>7
[7,4,1,3,6,2,5,8]=>0000001=>7
[5,4,3,1,7,6,2,8]=>0000001=>7
[2,5,4,8,1,7,3,6]=>0000000=>8
[7,5,2,4,8,3,6,1]=>0000000=>8
[7,8,2,6,3,5,4,1]=>0000000=>8
[7,2,6,5,8,3,4,1]=>0000000=>8
[5,6,3,1,4,2,7,8]=>0000011=>6
[2,6,5,3,4,8,7,1]=>0000000=>8
[2,6,1,5,3,4,7,8]=>0000011=>6
[3,4,7,8,5,1,6,2]=>0000000=>8
[3,6,2,4,7,8,5,1]=>0000000=>8
[5,3,6,4,8,7,2,1]=>0000000=>8
[1,5,4,8,6,2,7,3]=>1000000=>1
[4,5,2,7,6,3,8,1]=>0000000=>8
[5,8,3,1,2,7,6,4]=>0000000=>8
[8,4,6,1,3,7,2,5]=>0000000=>8
[4,8,5,1,2,3,6,7]=>0000000=>8
[4,5,1,3,8,6,2,7]=>0000000=>8
[7,4,2,3,6,8,5,1]=>0000000=>8
[7,8,1,3,6,4,5,2]=>0000000=>8
[7,2,6,8,4,5,3,1]=>0000000=>8
[7,3,6,8,5,1,4,2]=>0000000=>8
[7,5,8,1,6,2,4,3]=>0000000=>8
[5,7,8,1,6,3,2,4]=>0000000=>8
[7,2,6,8,5,1,4,3]=>0000000=>8
[7,5,2,4,8,3,1,6]=>0000000=>8
[7,8,3,1,6,2,5,4]=>0000000=>8
[6,7,8,4,3,1,5,2]=>0000000=>8
[7,8,3,6,4,1,5,2]=>0000000=>8
[7,3,8,1,6,4,5,2]=>0000000=>8
[1,7,5,8,2,4,6,3]=>1000000=>1
[7,5,2,8,1,4,6,3]=>0000000=>8
[3,7,8,2,6,5,1,4]=>0000000=>8
[3,7,8,2,1,6,4,5]=>0000000=>8
[7,8,1,6,3,5,4,2]=>0000000=>8
[6,7,8,2,5,4,3,1]=>0000000=>8
[6,7,8,3,1,5,4,2]=>0000000=>8
[7,8,1,6,2,5,4,3]=>0000000=>8
[5,6,1,4,3,8,2,7]=>0000000=>8
[5,1,6,8,3,4,7,2]=>0000000=>8
[7,1,6,8,5,4,3,2]=>0000000=>8
[5,6,8,1,2,3,7,4]=>0000000=>8
[4,8,1,2,7,6,5,3]=>0000000=>8
[6,4,7,3,5,2,1,8]=>0000001=>7
[3,1,6,2,5,7,8,4]=>0000000=>8
[1,6,4,5,2,7,3,8]=>1000001=>1
[6,2,1,4,5,3,7,8]=>0000011=>6
[6,2,1,5,7,3,4,8]=>0000001=>7
[1,2,3,4,5,8,9,6,7]=>11111000=>1
[1,2,4,6,8,3,7,5]=>1100000=>1
[3,9,1,4,5,6,7,8,2]=>00000000=>9
[6,1,3,7,2,8,5,4]=>0000000=>8
[6,4,5,8,3,7,1,2]=>0000000=>8
[2,6,8,4,3,1,7,5]=>0000000=>8
[8,1,5,2,6,4,3,7]=>0000000=>8
[1,6,7,4,2,8,3,5]=>1000000=>1
[1,7,8,4,3,6,2,5]=>1000000=>1
[1,4,7,2,3,6,8,5]=>1000000=>1
[3,1,2,6,7,8,5,4]=>0010000=>3
[1,6,3,4,7,8,2,5]=>1000000=>1
[3,1,5,7,6,2,8,4]=>0000000=>8
[6,3,1,4,2,7,8,5]=>0000000=>8
[2,4,3,7,6,1,8,5]=>0000000=>8
[3,1,7,6,5,2,8,4]=>0000000=>8
[1,4,7,6,8,3,2,5]=>1000000=>1
[7,2,1,5,6,3,8,4]=>0000000=>8
[4,3,1,8,6,2,7,5]=>0000000=>8
[3,1,5,2,8,7,6,4]=>0000000=>8
[1,2,8,4,3,7,6,5]=>1100000=>1
[2,6,1,8,7,4,3,5]=>0000000=>8
[7,5,1,8,3,2,6,4]=>0000000=>8
[4,7,6,3,1,8,2,5]=>0000000=>8
[5,3,1,8,6,2,4,7]=>0000000=>8
[5,1,8,6,3,2,4,7]=>0000000=>8
[1,5,4,2,8,6,3,7]=>1000000=>1
[1,4,2,8,5,3,7,6]=>1000000=>1
[8,3,1,6,4,2,5,7]=>0000000=>8
[1,7,4,8,3,5,2,6]=>1000000=>1
[7,3,2,4,8,5,1,6]=>0000000=>8
[5,7,8,1,4,2,6,3]=>0000000=>8
[2,6,3,8,1,7,5,4]=>0000000=>8
[2,5,1,8,6,3,7,4]=>0000000=>8
[2,8,6,4,1,7,3,5]=>0000000=>8
[1,8,4,2,7,5,3,6]=>1000000=>1
[6,5,1,7,2,8,4,3]=>0000000=>8
[2,8,1,7,5,3,6,4]=>0000000=>8
[1,2,8,7,6,4,3,5]=>1100000=>1
[4,3,5,7,1,6,2,8]=>0000001=>7
[4,1,8,5,3,6,2,7]=>0000000=>8
[6,4,2,5,3,1,7,8]=>0000011=>6
[3,1,5,8,2,7,4,6]=>0000000=>8
[6,4,1,5,3,2,7,8]=>0000011=>6
[6,2,1,5,4,3,7,8]=>0000011=>6
[3,1,8,5,4,6,2,7]=>0000000=>8
[6,1,8,4,5,3,2,7]=>0000000=>8
[4,5,2,7,1,6,3,8]=>0000001=>7
[4,3,5,7,1,6,8,2]=>0000000=>8
[4,1,8,5,3,6,7,2]=>0000000=>8
[6,3,8,4,5,1,7,2]=>0000000=>8
[3,1,6,8,5,7,4,2]=>0000000=>8
[2,6,1,8,5,7,4,3]=>0000000=>8
[6,3,8,4,5,2,1,7]=>0000000=>8
[6,5,8,7,2,3,4,1]=>0000000=>8
[6,3,8,4,5,2,7,1]=>0000000=>8
[2,1,6,8,5,3,7,4]=>0100000=>2
[3,2,6,8,5,4,7,1]=>0000000=>8
[4,1,8,5,2,6,3,7]=>0000000=>8
[3,1,6,8,5,2,4,7]=>0000000=>8
[6,5,8,7,4,1,2,3]=>0000000=>8
[6,5,8,7,4,2,1,3]=>0000000=>8
[6,5,8,7,2,4,1,3]=>0000000=>8
[6,2,8,4,5,7,1,3]=>0000000=>8
[6,1,8,4,5,7,3,2]=>0000000=>8
[4,2,7,3,5,8,6,1]=>0000000=>8
[3,6,2,4,8,5,7,1]=>0000000=>8
[3,5,1,8,4,7,6,2]=>0000000=>8
[3,6,1,8,5,4,7,2]=>0000000=>8
[2,4,8,3,7,6,5,1]=>0000000=>8
[3,6,8,2,5,7,4,1]=>0000000=>8
[2,6,8,5,4,3,7,1]=>0000000=>8
[3,6,8,2,5,4,7,1]=>0000000=>8
[4,6,8,3,2,5,7,1]=>0000000=>8
[4,6,2,8,3,5,7,1]=>0000000=>8
[3,6,1,8,5,7,4,2]=>0000000=>8
[5,2,6,8,4,1,7,3]=>0000000=>8
[3,5,8,2,7,4,6,1]=>0000000=>8
[2,6,8,5,7,4,3,1]=>0000000=>8
[2,4,8,7,6,3,5,1]=>0000000=>8
[7,5,1,6,3,2,8,4]=>0000000=>8
[2,7,6,3,4,1,8,5]=>0000000=>8
[4,8,2,1,7,5,6,3]=>0000000=>8
[1,5,4,8,6,2,3,7]=>1000000=>1
[8,2,1,6,7,3,5,4]=>0000000=>8
[6,2,8,1,7,5,3,4]=>0000000=>8
[3,5,1,8,7,6,2,4]=>0000000=>8
[1,4,2,3,6,5,8,7,9]=>10010101=>1
[1,3,4,2,6,5,8,7,9]=>10010101=>1
[1,4,2,3,6,5,8,7,10,9]=>100101010=>1
[2,3,1,4,6,5,8,7,9]=>00110101=>3
[4,6,1,2,3,5,8,7,9]=>00000101=>6
[3,4,5,1,6,2,8,7,9]=>00000101=>6
[3,1,2,4,6,5,8,7,9]=>00110101=>3
[1,3,4,2,6,5,8,7,10,9]=>100101010=>1
[3,1,4,2,6,5,8,7,10,9,11]=>0001010101=>4
[5,6,2,7,8,1,3,4]=>0000000=>8
[2,1,3,4,5,6,9,7,8]=>01111100=>2
[1,2,3,4,5,6,7,8,10,9,11]=>1111111101=>1
[1,2,3,4,5,7,8,6,9]=>11111001=>1
[2,1,3,4,5,6,7,10,8,9]=>011111100=>2
[3,2,5,6,8,4,7,1]=>0000000=>8
[2,5,6,4,8,3,7,1]=>0000000=>8
[4,2,5,7,3,8,1,6]=>0000000=>8
[4,7,3,1,6,8,2,5]=>0000000=>8
[4,2,7,6,8,1,3,5]=>0000000=>8
[1,7,4,6,8,3,2,5]=>1000000=>1
[4,7,2,5,6,3,1,8]=>0000001=>7
[5,4,1,3,7,8,2,6]=>0000000=>8
[6,1,5,8,3,7,2,4]=>0000000=>8
[4,5,2,1,7,8,3,6]=>0000000=>8
[2,3,7,8,5,1,6,4]=>0000000=>8
[1,2,6,7,4,3,5,8]=>1100001=>1
[10,2,3,4,5,6,7,8,1,9]=>000000000=>10
[3,10,1,4,5,6,7,8,9,2]=>000000000=>10
[11,2,3,4,5,6,7,8,9,1,10]=>0000000000=>11
[8,7,9,1,2,3,4,5,6]=>00000000=>9
[3,11,1,4,5,6,7,8,9,10,2]=>0000000000=>11
[6,8,2,7,5,3,1,4]=>0000000=>8
[6,3,2,5,8,4,1,7]=>0000000=>8
[5,6,7,2,8,4,1,3]=>0000000=>8
[5,8,3,6,4,1,7,2]=>0000000=>8
[3,2,5,8,4,7,1,6]=>0000000=>8
[2,5,8,1,3,4,7,6]=>0000000=>8
[3,5,1,8,7,4,2,6]=>0000000=>8
[5,1,7,8,3,2,4,6]=>0000000=>8
[3,1,7,6,2,8,5,4]=>0000000=>8
[5,3,6,7,4,2,8,1]=>0000000=>8
[5,4,2,8,6,7,3,1]=>0000000=>8
[6,1,4,2,8,7,3,5]=>0000000=>8
[3,7,2,6,8,4,5,1]=>0000000=>8
[4,6,5,2,7,8,3,1]=>0000000=>8
[5,4,6,2,7,8,3,1]=>0000000=>8
[2,1,7,6,8,4,5,3]=>0100000=>2
[6,4,7,2,8,3,1,5]=>0000000=>8
[4,7,3,1,5,2,8,6]=>0000000=>8
[2,4,7,3,8,5,1,6]=>0000000=>8
[2,7,3,1,8,5,4,6]=>0000000=>8
[7,6,8,9,1,2,3,4,5]=>00000000=>9
[5,4,6,7,8,9,1,2,3]=>00000000=>9
[1,2,6,8,3,4,7,5]=>1100000=>1
[1,6,3,5,7,4,8,2]=>1000000=>1
[1,5,4,7,2,8,3,6]=>1000000=>1
[3,8,5,2,6,1,7,4]=>0000000=>8
[3,7,4,8,5,2,6,1]=>0000000=>8
[6,8,7,1,3,4,2,5]=>0000000=>8
[3,4,2,8,6,7,5,1]=>0000000=>8
[3,6,1,5,2,7,8,4]=>0000000=>8
[7,1,6,8,3,4,2,5]=>0000000=>8
[6,2,8,4,7,1,3,5]=>0000000=>8
[1,4,3,2,5,6,7,8,9]=>10011111=>1
[6,8,2,7,5,4,1,3]=>0000000=>8
[1,8,4,3,7,6,2,5]=>1000000=>1
[4,3,8,7,1,2,6,5]=>0000000=>8
[1,8,4,5,7,6,2,3]=>1000000=>1
[4,3,8,5,7,1,6,2]=>0000000=>8
[6,3,4,8,7,2,1,5]=>0000000=>8
[5,3,8,4,7,1,6,2]=>0000000=>8
[5,2,8,7,1,4,6,3]=>0000000=>8
[3,2,8,7,1,6,4,5]=>0000000=>8
[2,7,8,3,1,6,4,5]=>0000000=>8
[2,7,8,5,1,4,6,3]=>0000000=>8
[3,5,8,7,4,1,6,2]=>0000000=>8
[7,4,6,8,3,5,1,2]=>0000000=>8
[2,7,8,1,3,6,4,5]=>0000000=>8
[2,7,8,1,5,4,6,3]=>0000000=>8
[2,7,8,1,4,5,6,3]=>0000000=>8
[3,6,7,8,2,4,1,5]=>0000000=>8
[4,5,7,8,6,3,1,2]=>0000000=>8
[5,4,6,8,7,3,1,2]=>0000000=>8
[4,5,8,6,7,1,3,2]=>0000000=>8
[5,7,6,8,2,1,3,4]=>0000000=>8
[3,7,6,8,2,4,1,5]=>0000000=>8
[5,4,7,8,6,3,1,2]=>0000000=>8
[4,5,7,8,2,6,1,3]=>0000000=>8
[4,5,6,8,7,3,1,2]=>0000000=>8
[6,1,5,3,8,4,7,2]=>0000000=>8
[1,8,6,2,5,4,7,3]=>1000000=>1
[3,8,4,1,7,5,2,6]=>0000000=>8
[6,2,7,4,8,3,1,5]=>0000000=>8
[2,8,5,1,4,3,7,6]=>0000000=>8
[6,8,2,7,5,1,4,3]=>0000000=>8
[5,3,6,4,7,2,1,8]=>0000001=>7
[4,2,6,5,7,3,1,8]=>0000001=>7
[5,4,6,2,7,3,1,8]=>0000001=>7
[3,2,6,5,8,4,1,7]=>0000000=>8
[3,2,6,5,8,7,1,4]=>0000000=>8
[4,2,6,5,8,7,1,3]=>0000000=>8
[5,2,6,4,8,7,1,3]=>0000000=>8
[5,4,7,6,8,2,1,3]=>0000000=>8
[6,4,7,5,8,3,1,2]=>0000000=>8
[4,2,7,5,8,6,1,3]=>0000000=>8
[3,2,7,5,8,4,1,6]=>0000000=>8
[4,3,7,2,8,5,1,6]=>0000000=>8
[4,3,6,2,8,5,1,7]=>0000000=>8
[4,3,7,6,8,5,1,2]=>0000000=>8
[5,3,7,6,8,2,1,4]=>0000000=>8
[5,3,7,2,8,6,1,4]=>0000000=>8
[3,2,6,4,8,7,1,5]=>0000000=>8
[4,2,7,3,8,6,1,5]=>0000000=>8
[5,2,7,6,8,3,1,4]=>0000000=>8
[3,2,7,6,8,4,1,5]=>0000000=>8
[3,2,7,6,8,5,1,4]=>0000000=>8
[6,2,7,5,8,4,1,3]=>0000000=>8
[6,7,1,3,2,5,8,4]=>0000000=>8
[8,7,6,4,1,5,3,2]=>0000000=>8
[7,2,5,3,4,8,1,6]=>0000000=>8
[5,3,6,2,4,1,8,7]=>0000010=>6
[5,8,2,6,3,7,4,1]=>0000000=>8
[4,8,2,3,7,5,6,1]=>0000000=>8
[4,5,3,7,1,2,6,8]=>0000001=>7
[8,5,6,4,1,3,2,7]=>0000000=>8
[6,7,2,8,4,3,1,5]=>0000000=>8
[6,7,3,2,8,4,1,5]=>0000000=>8
[4,7,8,3,1,5,2,6]=>0000000=>8
[4,5,8,1,3,2,6,7]=>0000000=>8
[4,7,8,1,6,3,2,5]=>0000000=>8
[4,7,1,3,8,6,5,2]=>0000000=>8
[5,7,2,8,3,4,6,1]=>0000000=>8
[3,7,2,8,5,6,4,1]=>0000000=>8
[3,1,5,8,6,4,7,2]=>0000000=>8
[2,5,6,1,8,7,3,4]=>0000000=>8
[3,6,2,8,4,7,5,1]=>0000000=>8
[2,3,8,6,7,5,4,1]=>0000000=>8
[5,7,8,3,4,6,2,1]=>0000000=>8
[3,5,1,8,6,4,2,7]=>0000000=>8
[7,5,3,8,6,4,2,1]=>0000000=>8
[1,5,8,3,6,4,2,7]=>1000000=>1
[1,5,8,6,3,4,2,7]=>1000000=>1
[3,7,5,8,2,6,4,1]=>0000000=>8
[5,7,8,1,4,6,2,3]=>0000000=>8
[1,3,7,8,4,2,6,5]=>1000000=>1
[1,4,6,5,7,2,3,8]=>1000001=>1
[8,1,6,7,3,5,4,2]=>0000000=>8
[7,2,4,1,6,5,3,8]=>0000001=>7
[1,3,2,6,8,4,7,5]=>1010000=>1
[8,1,7,5,4,2,6,3]=>0000000=>8
[1,2,6,4,7,3,5,8]=>1100001=>1
[1,6,4,3,7,2,5,8]=>1000001=>1
[2,3,4,5,6,9,8,7,1]=>00000000=>9
[2,3,4,5,6,7,8,9,11,10,1]=>0000000000=>11
[8,4,5,1,3,7,6,2]=>0000000=>8
[8,6,4,3,7,1,5,2]=>0000000=>8
[3,4,5,6,7,1,2,8,9]=>00000011=>7
[3,1,6,5,7,8,4,2]=>0000000=>8
[1,7,2,5,6,8,4,3]=>1000000=>1
[4,7,6,8,3,1,5,2]=>0000000=>8
[3,5,4,7,1,8,6,2]=>0000000=>8
[6,1,3,8,4,5,2,7]=>0000000=>8
[4,1,5,7,6,3,2,8]=>0000001=>7
[4,5,1,7,6,3,2,8]=>0000001=>7
[1,4,2,6,7,8,5,3]=>1000000=>1
[1,4,2,5,6,8,7,3]=>1000000=>1
[1,8,6,2,4,3,5,7]=>1000000=>1
[3,2,4,5,7,8,1,6]=>0000000=>8
[6,5,2,8,7,4,3,1]=>0000000=>8
[7,8,5,4,2,1,6,3]=>0000000=>8
[7,5,2,8,6,4,3,1]=>0000000=>8
[7,8,3,2,6,5,4,1]=>0000000=>8
[8,6,7,2,5,3,1,4]=>0000000=>8
[1,6,2,7,8,4,5,3]=>1000000=>1
[1,6,8,2,7,5,3,4]=>1000000=>1
[5,1,7,4,3,8,6,2]=>0000000=>8
[8,6,3,7,2,4,1,5]=>0000000=>8
[1,7,8,6,4,2,3,5]=>1000000=>1
[7,2,8,6,4,1,3,5]=>0000000=>8
[1,5,3,7,4,2,6,8]=>1000001=>1
[1,7,6,4,3,2,8,5]=>1000000=>1
[1,5,4,2,3,8,7,6]=>1000100=>1
[1,5,4,2,3,7,8,6]=>1000100=>1
[1,2,7,6,3,5,8,4]=>1100000=>1
[3,2,7,5,6,1,8,4]=>0000000=>8
[7,4,5,1,6,3,8,2]=>0000000=>8
[3,2,6,4,8,5,7,1]=>0000000=>8
[7,2,8,1,6,3,5,4]=>0000000=>8
[1,3,5,2,4,7,6,9,8,10]=>100010101=>1
[2,3,5,1,4,7,6,9,8]=>00001010=>5
[3,4,1,5,2,7,6,9,8]=>00001010=>5
[4,1,2,5,3,7,6,9,8]=>00001010=>5
[1,4,2,5,3,7,6,9,8,10]=>100010101=>1
[8,3,6,5,4,1,2,7]=>0000000=>8
[1,7,5,8,4,6,3,2]=>1000000=>1
[6,5,7,1,2,8,3,4]=>0000000=>8
[7,1,4,2,3,8,6,5]=>0000000=>8
[8,1,2,5,3,7,6,4]=>0000000=>8
[3,6,5,2,4,1,7,8]=>0000011=>6
[6,8,5,2,4,3,1,7]=>0000000=>8
[4,6,7,2,5,1,8,3]=>0000000=>8
[3,6,2,5,1,7,8,4]=>0000000=>8
[5,8,1,4,3,6,7,2]=>0000000=>8
[7,2,3,8,6,4,1,5]=>0000000=>8
[5,2,3,8,7,4,1,6]=>0000000=>8
[4,2,6,8,1,3,5,7,9]=>00000001=>8
[4,6,2,8,1,3,5,7,9]=>00000001=>8
[4,6,8,2,1,3,5,7,9]=>00000001=>8
[4,6,2,7,8,1,3,5]=>0000000=>8
[4,6,8,2,9,1,3,5,7]=>00000000=>9
[4,6,2,7,9,1,3,5,8]=>00000000=>9
[6,2,3,7,1,4,5,8]=>0000001=>7
[4,2,5,7,9,1,3,6,8]=>00000000=>9
[2,3,5,7,9,1,4,6,8]=>00000000=>9
[4,2,6,8,10,1,3,5,7,9]=>000000000=>10
[6,4,2,8,1,3,5,7,9]=>00000001=>8
[4,6,2,8,10,1,3,5,7,9]=>000000000=>10
[8,4,6,2,1,3,5,7,9]=>00000001=>8
[4,6,8,2,10,1,3,5,7,9]=>000000000=>10
[4,6,8,9,2,1,3,5,7]=>00000000=>9
[4,6,8,10,2,1,3,5,7,9]=>000000000=>10
[4,6,7,8,2,1,3,5]=>0000000=>8
[4,6,2,7,1,3,5,8,9]=>00000011=>7
[4,6,8,2,9,1,3,5,7,10]=>000000001=>9
[4,8,2,5,9,1,3,6,7]=>00000000=>9
[4,6,2,7,9,1,3,5,8,10]=>000000001=>9
[6,2,3,7,9,1,4,5,8]=>00000000=>9
[4,2,5,7,9,1,3,6,8,10]=>000000001=>9
[1,4,5,7,9,2,3,6,8]=>10000000=>1
[2,3,5,7,9,1,4,6,8,10]=>000000001=>9
[8,6,4,9,7,5,3,2,1]=>00000000=>9
[7,8,5,9,6,4,3,2,1]=>00000000=>9
[8,6,4,2,9,7,5,3,1]=>00000000=>9
[7,8,5,3,9,6,4,2,1]=>00000000=>9
[7,4,8,5,9,6,3,2,1]=>00000000=>9
[6,7,8,4,9,5,3,2,1]=>00000000=>9
[7,8,5,3,1,9,6,4,2]=>00000000=>9
[7,4,8,5,2,9,6,3,1]=>00000000=>9
[6,7,8,4,2,9,5,3,1]=>00000000=>9
[6,7,3,8,4,9,5,2,1]=>00000000=>9
[5,6,7,8,3,9,4,2,1]=>00000000=>9
[6,7,3,8,4,1,9,5,2]=>00000000=>9
[5,6,7,8,3,1,9,4,2]=>00000000=>9
[6,2,7,3,8,4,9,5,1]=>00000000=>9
[5,6,7,2,8,3,9,4,1]=>00000000=>9
[4,5,6,7,8,2,9,3,1]=>00000000=>9
[5,6,1,7,2,8,3,9,4]=>00000000=>9
[4,5,6,7,1,8,2,9,3]=>00000000=>9
[9,7,10,8,6,5,4,3,2,1]=>000000000=>10
[9,7,5,10,8,6,4,3,2,1]=>000000000=>10
[8,9,6,10,7,5,4,3,2,1]=>000000000=>10
[9,7,5,3,10,8,6,4,2,1]=>000000000=>10
[8,9,6,4,10,7,5,3,2,1]=>000000000=>10
[8,5,9,6,10,7,4,3,2,1]=>000000000=>10
[7,8,9,5,10,6,4,3,2,1]=>000000000=>10
[8,9,6,4,2,10,7,5,3,1]=>000000000=>10
[8,5,9,6,3,10,7,4,2,1]=>000000000=>10
[7,8,9,5,3,10,6,4,2,1]=>000000000=>10
[7,8,4,9,5,10,6,3,2,1]=>000000000=>10
[6,7,8,9,4,10,5,3,2,1]=>000000000=>10
[8,5,9,6,3,1,10,7,4,2]=>000000000=>10
[7,8,9,5,3,1,10,6,4,2]=>000000000=>10
[8,5,2,9,6,3,10,7,4,1]=>000000000=>10
[6,7,8,9,4,2,10,5,3,1]=>000000000=>10
[7,3,8,4,9,5,10,6,2,1]=>000000000=>10
[6,7,8,3,9,4,10,5,2,1]=>000000000=>10
[5,6,7,8,9,3,10,4,2,1]=>000000000=>10
[7,8,4,1,9,5,2,10,6,3]=>000000000=>10
[7,3,8,4,9,5,1,10,6,2]=>000000000=>10
[6,7,8,3,9,4,1,10,5,2]=>000000000=>10
[5,6,7,8,9,3,1,10,4,2]=>000000000=>10
[6,7,2,8,3,9,4,10,5,1]=>000000000=>10
[5,6,7,8,2,9,3,10,4,1]=>000000000=>10
[4,5,6,7,8,9,2,10,3,1]=>000000000=>10
[5,6,7,1,8,2,9,3,10,4]=>000000000=>10
[4,5,6,7,8,1,9,2,10,3]=>000000000=>10
[6,1,3,4,2,5,8,7]=>0000010=>6
[1,5,7,6,8,2,4,3]=>1000000=>1
[5,7,1,3,8,4,2,6]=>0000000=>8
[2,6,1,4,3,7,8,5]=>0000000=>8
[1,6,2,4,3,5,8,7]=>1000010=>1
[5,3,7,6,1,8,4,2]=>0000000=>8
[1,5,6,3,7,8,4,2]=>1000000=>1
[7,3,5,6,1,8,4,2]=>0000000=>8
[7,3,6,1,5,8,4,2]=>0000000=>8
[1,6,3,7,8,5,4,2]=>1000000=>1
[1,7,8,6,3,5,4,2]=>1000000=>1
[3,7,5,6,1,8,4,2]=>0000000=>8
[7,3,5,4,1,2,6,8]=>0000001=>7
[7,8,5,1,3,2,4,6]=>0000000=>8
[7,1,3,8,2,5,4,6]=>0000000=>8
[3,1,5,4,7,2,6,8]=>0000001=>7
[1,6,3,7,2,4,5,8]=>1000001=>1
[5,3,2,4,8,1,7,6]=>0000000=>8
[6,8,5,3,2,7,1,4]=>0000000=>8
[8,3,7,2,6,5,1,4]=>0000000=>8
[3,5,1,4,7,2,8,6]=>0000000=>8
[6,1,3,4,2,7,8,5]=>0000000=>8
[6,5,2,3,7,8,1,4]=>0000000=>8
[1,5,3,8,4,2,7,6]=>1000000=>1
[5,4,2,1,8,3,7,6]=>0000000=>8
[3,1,7,4,2,6,8,5]=>0000000=>8
[8,1,7,3,2,5,6,4]=>0000000=>8
[3,1,6,8,4,2,7,5]=>0000000=>8
[2,3,4,5,9,6,7,8,1]=>00000000=>9
[2,3,4,9,5,6,7,8,1]=>00000000=>9
[2,3,9,4,5,6,7,8,1]=>00000000=>9
[2,3,4,5,6,7,10,8,9,1]=>000000000=>10
[2,3,4,5,9,7,6,8,1]=>00000000=>9
[2,3,4,5,6,10,7,8,9,1]=>000000000=>10
[2,3,4,9,6,5,7,8,1]=>00000000=>9
[2,3,9,5,4,6,7,8,1]=>00000000=>9
[2,3,4,10,5,6,7,8,9,1]=>000000000=>10
[2,9,4,3,5,6,7,8,1]=>00000000=>9
[2,3,10,4,5,6,7,8,9,1]=>000000000=>10
[4,5,1,2,7,8,6,3]=>0000000=>8
[2,8,4,6,3,1,5,7]=>0000000=>8
[1,7,8,6,3,4,2,5]=>1000000=>1
[1,7,3,8,6,4,2,5]=>1000000=>1
[7,8,1,5,6,4,2,3]=>0000000=>8
[7,1,5,8,6,4,2,3]=>0000000=>8
[8,1,3,5,6,4,2,7]=>0000000=>8
[1,3,8,5,6,4,2,7]=>1000000=>1
[1,3,5,8,6,4,2,7]=>1000000=>1
[1,5,7,8,6,4,2,3]=>1000000=>1
[3,2,5,4,7,6,9,8,10,1]=>000000000=>10
[8,1,3,5,6,7,2,4]=>0000000=>8
[6,8,7,5,2,1,4,3]=>0000000=>8
[1,2,8,6,4,5,3,7]=>1100000=>1
[1,4,7,8,5,6,3,2]=>1000000=>1
[1,6,4,8,5,7,3,2]=>1000000=>1
[1,6,8,5,2,7,3,4]=>1000000=>1
[1,3,4,8,5,2,7,6]=>1000000=>1
[3,5,8,7,6,2,4,1]=>0000000=>8
[6,5,3,7,4,1,8,2]=>0000000=>8
[3,1,5,4,6,8,7,2]=>0000000=>8
[3,1,6,4,2,5,8,7]=>0000010=>6
[3,6,1,4,5,7,8,2]=>0000000=>8
[1,8,4,7,2,3,6,5]=>1000000=>1
[5,7,8,2,4,6,1,3]=>0000000=>8
[5,4,2,3,6,8,1,7]=>0000000=>8
[3,8,1,6,4,2,5,7]=>0000000=>8
[7,3,2,1,8,6,4,5]=>0000000=>8
[8,7,2,4,1,3,6,5]=>0000000=>8
[8,2,6,3,5,7,1,4]=>0000000=>8
[1,8,3,7,4,6,5,2]=>1000000=>1
[8,2,3,1,7,4,5,6]=>0000000=>8
[3,1,7,8,6,2,5,4]=>0000000=>8
[4,8,1,2,6,5,7,3]=>0000000=>8
[5,6,1,8,3,7,2,4]=>0000000=>8
[2,8,1,6,5,3,7,4]=>0000000=>8
[2,1,5,7,6,3,8,4]=>0100000=>2
[4,1,2,5,7,6,8,3]=>0000000=>8
[4,3,5,1,7,8,6,2]=>0000000=>8
[1,8,5,2,3,4,7,6]=>1000000=>1
[1,9,6,2,3,4,5,8,7]=>10000000=>1
[1,5,8,2,3,4,7,6]=>1000000=>1
[1,2,7,8,4,5,6,3]=>1100000=>1
[1,2,3,4,5,6,9,7,10,8]=>111111000=>1
[4,3,8,7,6,2,5,1]=>0000000=>8
[5,4,8,2,7,6,3,1]=>0000000=>8
[2,3,6,1,7,5,8,4]=>0000000=>8
[4,6,5,2,1,7,8,3]=>0000000=>8
[3,5,6,2,1,4,7,8]=>0000011=>6
[4,3,6,5,1,7,8,2]=>0000000=>8
[4,6,5,3,1,7,8,2]=>0000000=>8
[1,2,3,4,5,7,6,8,9,10]=>111110111=>1
[1,2,3,5,4,6,7,8,9,10]=>111011111=>1
[1,2,3,5,4,7,6,9,8,10]=>111010101=>1
[5,8,1,4,2,3,6,7]=>0000000=>8
[4,5,8,2,3,1,6,7]=>0000000=>8
[3,5,4,8,1,7,2,6]=>0000000=>8
[5,3,6,8,1,4,7,2]=>0000000=>8
[3,5,1,8,6,4,7,2]=>0000000=>8
[4,7,2,8,3,1,6,5]=>0000000=>8
[1,2,5,6,8,3,7,4]=>1100000=>1
[5,3,8,4,6,2,7,1]=>0000000=>8
[7,4,8,1,5,2,6,3]=>0000000=>8
[8,3,2,1,6,5,7,4]=>0000000=>8
[4,1,5,6,8,7,2,3]=>0000000=>8
[1,2,5,6,8,4,7,3]=>1100000=>1
[1,5,6,8,4,7,2,3]=>1000000=>1
[5,6,8,1,2,4,7,3]=>0000000=>8
[6,8,1,4,5,7,2,3]=>0000000=>8
[4,3,5,1,8,6,7,2]=>0000000=>8
[1,3,5,6,8,4,7,2]=>1000000=>1
[5,6,8,2,3,4,7,1]=>0000000=>8
[9,8,7,4,5,6,3,2,1]=>00000000=>9
[6,5,1,2,4,8,7,3]=>0000000=>8
[5,8,7,2,1,3,6,4]=>0000000=>8
[5,1,7,2,8,6,3,4]=>0000000=>8
[6,1,5,3,4,8,7,2]=>0000000=>8
[5,8,6,3,2,1,4,7]=>0000000=>8
[8,7,1,6,3,5,4,2]=>0000000=>8
[3,2,1,7,8,6,4,5]=>0010000=>3
[8,6,7,1,2,5,3,4]=>0000000=>8
[1,5,6,4,2,8,7,3]=>1000000=>1
[7,5,1,4,8,2,3,6]=>0000000=>8
[3,2,8,1,7,5,6,4]=>0000000=>8
[8,4,3,1,7,5,6,2]=>0000000=>8
[6,1,7,8,4,2,3,5]=>0000000=>8
[7,4,3,1,8,5,2,6]=>0000000=>8
[7,8,1,6,3,4,5,2]=>0000000=>8
[6,8,1,7,3,4,2,5]=>0000000=>8
[1,5,6,7,8,9,2,3,4]=>10000000=>1
[1,5,6,7,8,9,10,2,3,4]=>100000000=>1
[3,4,2,1,5,6,7,8,9]=>00011111=>4
[4,3,1,2,5,6,7,8,9]=>00011111=>4
[3,4,2,1,5,6,7,8,9,10]=>000111111=>4
[4,5,2,1,3,6,7,8,9]=>00001111=>5
[3,4,2,5,1,6,7,8,9]=>00001111=>5
[5,3,1,2,4,6,7,8,9]=>00001111=>5
[4,3,5,1,2,6,7,8,9]=>00001111=>5
[4,3,1,2,5,6,7,8,9,10]=>000111111=>4
[4,6,5,3,8,2,7,1]=>0000000=>8
[6,3,7,5,2,4,1,8]=>0000001=>7
[7,8,1,5,6,4,3,2]=>0000000=>8
[1,3,8,2,4,6,7,5]=>1000000=>1
[6,1,7,3,4,2,5,8]=>0000001=>7
[2,8,7,1,5,6,4,3]=>0000000=>8
[3,5,6,2,8,1,7,4]=>0000000=>8
[4,1,5,7,3,8,2,6]=>0000000=>8
[5,4,3,1,2,6,7,8,9]=>00001111=>5
[6,5,4,3,1,2,7,8,9]=>00000111=>6
[8,5,4,3,9,1,2,6,7]=>00000000=>9
[6,5,4,3,1,2,7,8,9,10]=>000001111=>6
[7,6,5,4,3,1,2,8,9,10]=>000000111=>7
[9,6,5,4,3,10,1,2,7,8]=>000000000=>10
[3,8,6,1,4,5,7,2]=>0000000=>8
[2,3,1,7,6,8,4,5]=>0010000=>3
[5,8,7,2,6,4,1,3]=>0000000=>8
[6,8,5,1,7,4,3,2]=>0000000=>8
[6,8,5,2,7,4,1,3]=>0000000=>8
[7,3,8,6,5,2,1,4]=>0000000=>8
[7,5,8,1,6,4,3,2]=>0000000=>8
[7,5,8,2,6,4,1,3]=>0000000=>8
[6,3,2,8,1,7,5,4]=>0000000=>8
[2,1,3,4,5,6,8,7,9]=>01111101=>2
[2,3,4,5,6,8,7,9,1]=>00000000=>9
[4,5,3,1,2,8,6,7]=>0000100=>5
[7,5,4,1,3,2,6,8]=>0000001=>7
[5,3,4,8,7,6,2,1]=>0000000=>8
[8,3,1,6,7,5,4,2]=>0000000=>8
[1,8,2,6,7,4,5,3]=>1000000=>1
[8,5,7,2,4,3,6,1]=>0000000=>8
[1,2,8,3,4,7,6,5]=>1100000=>1
[6,8,5,2,7,1,3,4]=>0000000=>8
[8,7,5,1,4,6,3,2]=>0000000=>8
[6,3,4,7,2,8,5,1]=>0000000=>8
[6,8,4,3,1,5,2,7]=>0000000=>8
[1,4,5,8,3,2,6,7]=>1000000=>1
[1,5,2,4,7,8,6,3]=>1000000=>1
[2,7,6,8,3,5,4,1]=>0000000=>8
[6,2,3,7,4,5,8,1]=>0000000=>8
[6,4,2,7,1,5,8,3]=>0000000=>8
[1,6,5,2,4,7,3,8]=>1000001=>1
[1,8,7,2,4,6,3,5]=>1000000=>1
[1,8,7,2,5,4,3,6]=>1000000=>1
[1,5,4,2,7,3,6,8]=>1000001=>1
[1,5,4,2,8,7,3,6]=>1000000=>1
[1,6,8,3,5,2,4,7]=>1000000=>1
[1,7,6,2,3,5,8,4]=>1000000=>1
[1,2,8,3,6,5,4,7]=>1100000=>1
[1,3,8,6,5,2,4,7]=>1000000=>1
[1,4,7,3,2,8,6,5]=>1000000=>1
[1,8,6,5,2,4,7,3]=>1000000=>1
[1,6,8,4,3,2,5,7]=>1000000=>1
[1,7,5,3,2,6,4,8]=>1000001=>1
[1,2,6,5,3,8,4,7]=>1100000=>1
[1,7,3,2,8,4,6,5]=>1000000=>1
[1,6,5,2,8,4,7,3]=>1000000=>1
[1,8,3,7,2,4,6,5]=>1000000=>1
[5,4,2,8,7,6,1,3]=>0000000=>8
[8,6,3,2,5,7,4,1]=>0000000=>8
[7,3,2,1,6,5,8,4]=>0000000=>8
[6,8,5,2,7,1,4,3]=>0000000=>8
[6,8,2,5,1,7,4,3]=>0000000=>8
[6,8,5,7,2,1,4,3]=>0000000=>8
[6,5,8,2,7,4,1,3]=>0000000=>8
[6,2,1,7,5,8,4,3]=>0000000=>8
[1,6,4,8,5,3,7,2]=>1000000=>1
[4,2,6,7,8,1,3,5]=>0000000=>8
[4,1,7,6,5,8,2,3]=>0000000=>8
[2,4,3,6,7,8,1,5]=>0000000=>8
[7,2,1,4,3,5,8,6]=>0000000=>8
[8,1,5,4,2,3,6,7]=>0000000=>8
[6,1,4,8,7,2,3,5]=>0000000=>8
[6,1,7,5,8,2,3,4]=>0000000=>8
[6,1,4,7,8,2,3,5]=>0000000=>8
[6,7,1,4,2,3,5,8]=>0000001=>7
[6,1,7,4,8,2,3,5]=>0000000=>8
[8,6,5,4,3,2,7,9,1]=>00000000=>9
[8,9,5,4,3,2,1,6,7]=>00000000=>9
[7,6,5,4,3,8,9,1,2]=>00000000=>9
[9,6,5,4,3,2,7,1,8]=>00000000=>9
[8,7,6,5,4,3,2,9,1,10]=>000000001=>9
[9,2,3,4,5,6,1,7,8]=>00000000=>9
[3,1,5,6,7,8,9,2,4]=>00000000=>9
[2,1,3,5,6,7,8,9,4]=>01100000=>2
[4,3,8,5,6,2,7,1]=>0000000=>8
[6,2,5,4,7,1,8,3]=>0000000=>8
[8,2,1,6,5,7,4,3]=>0000000=>8
[2,7,1,8,5,6,4,3]=>0000000=>8
[3,5,8,6,2,1,4,7]=>0000000=>8
[8,7,3,6,5,2,4,1]=>0000000=>8
[7,3,8,6,2,1,4,5]=>0000000=>8
[8,3,5,6,4,7,2,1]=>0000000=>8
[8,5,6,2,4,3,7,1]=>0000000=>8
[6,5,8,1,3,4,2,7]=>0000000=>8
[6,8,4,5,1,3,2,7]=>0000000=>8
[6,4,8,7,5,3,2,1]=>0000000=>8
[6,7,1,4,3,2,8,5]=>0000000=>8
[7,2,5,1,4,8,3,6]=>0000000=>8
[5,8,1,3,4,2,7,6]=>0000000=>8
[1,5,6,3,2,8,7,4]=>1000000=>1
[1,3,7,6,8,4,2,5]=>1000000=>1
[1,6,7,3,2,8,5,4]=>1000000=>1
[3,2,7,6,8,4,5,1]=>0000000=>8
[1,3,8,5,2,7,6,4]=>1000000=>1
[6,4,1,5,2,8,7,3]=>0000000=>8
[7,6,5,3,1,8,2,4]=>0000000=>8
[2,5,1,4,7,3,6,8]=>0000001=>7
[3,1,6,5,7,2,4,8]=>0000001=>7
[2,6,1,5,7,4,8,3]=>0000000=>8
[2,5,7,1,6,3,8,4]=>0000000=>8
[2,6,1,5,7,4,3,8]=>0000001=>7
[3,1,6,5,2,4,7,8]=>0000011=>6
[3,6,5,1,4,2,7,8]=>0000011=>6
[3,6,5,1,7,2,4,8]=>0000001=>7
[3,6,5,2,1,4,7,8]=>0000011=>6
[5,4,3,6,1,7,2,8]=>0000001=>7
[4,5,2,7,6,1,3,8]=>0000001=>7
[4,6,5,3,1,2,7,8]=>0000011=>6
[5,4,1,6,3,7,2,8]=>0000001=>7
[5,4,2,6,3,7,8,1]=>0000000=>8
[3,6,5,7,1,4,2,8]=>0000001=>7
[3,6,5,1,4,7,2,8]=>0000001=>7
[4,3,6,5,7,1,2,8]=>0000001=>7
[4,2,6,5,1,3,7,8]=>0000011=>6
[4,1,6,5,3,7,8,2]=>0000000=>8
[4,2,5,7,6,1,3,8]=>0000001=>7
[3,4,7,6,1,2,5,8]=>0000001=>7
[4,2,5,7,6,3,8,1]=>0000000=>8
[4,1,6,5,2,7,3,8]=>0000001=>7
[3,6,5,7,2,1,4,8]=>0000001=>7
[3,5,7,6,2,4,1,8]=>0000001=>7
[5,4,2,6,3,7,1,8]=>0000001=>7
[4,6,5,2,7,3,1,8]=>0000001=>7
[4,6,5,2,1,7,3,8]=>0000001=>7
[3,5,8,2,1,4,6,7]=>0000000=>8
[3,5,8,2,4,6,7,1]=>0000000=>8
[5,3,8,2,1,4,6,7]=>0000000=>8
[5,3,1,8,2,4,6,7]=>0000000=>8
[5,1,3,8,2,4,6,7]=>0000000=>8
[1,5,8,4,2,3,6,7]=>1000000=>1
[5,8,2,1,4,3,6,7]=>0000000=>8
[5,8,2,4,1,6,7,3]=>0000000=>8
[5,8,2,4,6,3,1,7]=>0000000=>8
[5,8,2,4,3,6,1,7]=>0000000=>8
[5,8,1,4,6,2,3,7]=>0000000=>8
[1,5,8,4,6,7,2,3]=>1000000=>1
[5,1,8,4,6,7,2,3]=>0000000=>8
[5,8,2,4,6,3,7,1]=>0000000=>8
[3,8,4,6,7,2,1,5]=>0000000=>8
[3,8,4,6,7,2,5,1]=>0000000=>8
[8,4,3,6,7,2,5,1]=>0000000=>8
[8,4,3,6,7,2,1,5]=>0000000=>8
[8,6,2,4,5,3,7,1]=>0000000=>8
[1,8,6,4,5,7,2,3]=>1000000=>1
[8,6,2,4,5,3,1,7]=>0000000=>8
[1,8,6,4,2,3,5,7]=>1000000=>1
[3,8,1,6,2,4,5,7]=>0000000=>8
[3,8,6,2,1,4,5,7]=>0000000=>8
[3,8,6,2,4,1,5,7]=>0000000=>8
[3,8,6,2,4,5,7,1]=>0000000=>8
[8,3,6,2,4,5,1,7]=>0000000=>8
[8,1,3,6,2,4,5,7]=>0000000=>8
[8,3,6,7,2,1,4,5]=>0000000=>8
[3,8,6,7,2,1,4,5]=>0000000=>8
[8,2,6,4,5,1,7,3]=>0000000=>8
[1,8,4,6,7,5,2,3]=>1000000=>1
[8,4,6,2,3,7,5,1]=>0000000=>8
[8,4,7,2,1,3,6,5]=>0000000=>8
[8,4,2,1,5,3,7,6]=>0000000=>8
[8,2,1,4,7,3,6,5]=>0000000=>8
[1,6,2,5,8,4,7,3]=>1000000=>1
[2,1,5,8,7,3,6,4]=>0100000=>2
[4,3,1,7,8,5,2,6]=>0000000=>8
[2,8,5,3,6,4,7,1]=>0000000=>8
[1,2,8,6,4,7,3,5]=>1100000=>1
[5,3,2,7,8,6,4,1]=>0000000=>8
[4,2,7,8,3,5,6,1]=>0000000=>8
[2,8,3,7,1,4,6,5]=>0000000=>8
[3,2,4,8,7,5,6,1]=>0000000=>8
[3,2,5,6,8,1,4,7]=>0000000=>8
[5,7,2,3,1,4,8,6]=>0000000=>8
[8,4,2,7,3,5,6,1]=>0000000=>8
[1,8,6,4,7,5,3,2]=>1000000=>1
[2,8,5,1,7,4,6,3]=>0000000=>8
[2,7,4,6,3,8,5,1]=>0000000=>8
[1,2,8,6,4,7,5,3]=>1100000=>1
[3,4,5,6,7,9,1,2,8]=>00000000=>9
[3,4,5,7,8,9,1,2,6]=>00000000=>9
[3,5,6,7,8,9,1,2,4]=>00000000=>9
[3,4,5,6,8,9,10,1,2,7]=>000000000=>10
[3,5,6,7,8,9,10,1,2,4]=>000000000=>10
[3,4,5,6,7,8,9,10,1,2,11]=>0000000001=>10
[3,4,5,6,7,8,1,2,9,10]=>000000011=>8
[3,4,5,6,9,1,2,7,8]=>00000000=>9
[3,4,5,6,1,2,7,8,9]=>00000111=>6
[3,4,5,6,7,9,10,11,1,2,8]=>0000000000=>11
[3,4,6,7,8,9,10,11,1,2,5]=>0000000000=>11
[4,1,8,6,3,7,5,2]=>0000000=>8
[8,4,3,1,6,2,5,7]=>0000000=>8
[7,5,4,3,8,1,6,2]=>0000000=>8
[3,5,4,1,7,8,2,6]=>0000000=>8
[6,4,2,1,5,7,3,8]=>0000001=>7
[3,1,5,8,7,2,4,6]=>0000000=>8
[3,2,5,7,8,4,6,1]=>0000000=>8
[5,3,7,4,2,6,8,1]=>0000000=>8
[5,3,7,4,2,6,1,8]=>0000001=>7
[5,3,8,4,2,1,6,7]=>0000000=>8
[5,2,8,4,3,1,6,7]=>0000000=>8
[5,1,8,4,3,2,6,7]=>0000000=>8
[5,2,7,4,3,6,1,8]=>0000001=>7
[5,2,7,4,3,6,8,1]=>0000000=>8
[5,3,7,4,1,6,8,2]=>0000000=>8
[3,1,5,7,8,4,6,2]=>0000000=>8
[3,1,5,7,8,4,2,6]=>0000000=>8
[5,2,7,4,1,3,8,6]=>0000000=>8
[6,2,3,7,4,8,5,1]=>0000000=>8
[6,2,3,7,4,8,1,5]=>0000000=>8
[6,2,3,7,4,5,1,8]=>0000001=>7
[6,1,3,7,4,5,8,2]=>0000000=>8
[1,2,8,6,4,3,5,7]=>1100000=>1
[6,1,3,7,4,5,2,8]=>0000001=>7
[1,8,6,3,5,4,2,7]=>1000000=>1
[2,6,1,8,5,3,4,7]=>0000000=>8
[4,5,7,8,1,6,3,2]=>0000000=>8
[2,5,7,8,4,6,3,1]=>0000000=>8
[1,8,2,7,5,3,4,6]=>1000000=>1
[2,5,4,1,8,6,7,3]=>0000000=>8
[5,6,8,3,4,2,7,1]=>0000000=>8
[4,1,5,3,8,6,7,2]=>0000000=>8
[7,1,3,2,4,5,6,8]=>0000001=>7
[3,8,7,1,4,2,5,6]=>0000000=>8
[5,1,7,8,2,4,3,6]=>0000000=>8
[5,3,2,1,4,6,8,7]=>0000110=>5
[5,3,2,4,8,1,6,7]=>0000000=>8
[5,3,2,4,7,1,8,6]=>0000000=>8
[8,4,5,3,7,1,2,6]=>0000000=>8
[5,3,2,4,6,8,1,7]=>0000000=>8
[1,2,4,3,5,7,8,9,6]=>11011000=>1
[1,7,6,4,2,5,3,8]=>1000001=>1
[7,6,4,2,8,3,1,5]=>0000000=>8
[8,5,1,4,3,7,6,2]=>0000000=>8
[7,5,4,1,3,6,8,2]=>0000000=>8
[3,6,7,2,5,1,8,4]=>0000000=>8
[2,6,5,7,1,4,8,3]=>0000000=>8
[3,5,1,7,8,4,6,2]=>0000000=>8
[1,5,2,4,6,8,7,3]=>1000000=>1
[8,1,2,4,7,6,5,3]=>0000000=>8
[3,4,1,8,6,7,5,2]=>0000000=>8
[4,3,8,5,1,7,6,2]=>0000000=>8
[6,1,3,2,8,5,7,4]=>0000000=>8
[3,1,2,4,5,6,7,9,8]=>00111110=>3
[8,5,2,1,6,4,3,7]=>0000000=>8
[4,5,2,1,6,7,8,3]=>0000000=>8
[3,5,1,4,2,8,7,6]=>0000100=>5
[3,5,1,4,2,6,8,7]=>0000110=>5
[3,5,1,4,2,6,7,8]=>0000111=>5
[1,3,8,4,6,2,5,7]=>1000000=>1
[1,8,4,2,3,7,5,6]=>1000000=>1
[1,4,8,3,2,7,6,5]=>1000000=>1
[1,2,8,6,7,5,4,3]=>1100000=>1
[1,7,5,4,3,2,6,8]=>1000001=>1
[8,9,10,1,5,6,7,3,4,2]=>000000000=>10
[8,9,10,5,6,7,1,3,4,2]=>000000000=>10
[8,9,10,1,5,6,3,4,7,2]=>000000000=>10
[8,9,10,5,6,1,3,4,7,2]=>000000000=>10
[8,9,10,5,6,3,4,7,1,2]=>000000000=>10
[8,9,5,6,10,1,3,4,7,2]=>000000000=>10
[8,9,5,6,10,3,4,7,1,2]=>000000000=>10
[8,9,10,1,5,6,7,3,2,4]=>000000000=>10
[8,9,10,5,6,7,1,3,2,4]=>000000000=>10
[8,9,10,1,5,6,3,7,2,4]=>000000000=>10
[8,9,10,5,6,1,3,7,2,4]=>000000000=>10
[8,9,10,5,6,3,7,1,2,4]=>000000000=>10
[8,9,5,6,10,1,3,7,2,4]=>000000000=>10
[8,9,5,6,10,3,7,1,2,4]=>000000000=>10
[8,9,10,1,5,6,3,2,4,7]=>000000000=>10
[8,9,10,5,6,1,3,2,4,7]=>000000000=>10
[8,9,10,5,6,3,1,2,4,7]=>000000000=>10
[8,9,10,5,6,3,2,4,7,1]=>000000000=>10
[8,9,5,6,10,1,3,2,4,7]=>000000000=>10
[8,9,5,6,10,3,1,2,4,7]=>000000000=>10
[8,9,5,6,10,3,2,4,7,1]=>000000000=>10
[8,9,10,1,5,3,6,7,2,4]=>000000000=>10
[8,9,10,5,1,3,6,7,2,4]=>000000000=>10
[8,9,10,5,3,6,7,1,2,4]=>000000000=>10
[8,9,5,10,1,3,6,7,2,4]=>000000000=>10
[8,9,5,10,3,6,7,1,2,4]=>000000000=>10
[8,9,10,1,5,3,6,2,4,7]=>000000000=>10
[8,9,10,5,1,3,6,2,4,7]=>000000000=>10
[8,9,10,5,3,6,1,2,4,7]=>000000000=>10
[8,9,10,5,3,6,2,4,7,1]=>000000000=>10
[8,9,5,10,1,3,6,2,4,7]=>000000000=>10
[8,9,5,10,3,6,1,2,4,7]=>000000000=>10
[8,9,5,10,3,6,2,4,7,1]=>000000000=>10
[8,9,5,3,6,10,1,2,4,7]=>000000000=>10
[8,9,5,3,6,10,2,4,7,1]=>000000000=>10
[8,5,9,10,1,3,6,7,2,4]=>000000000=>10
[8,5,9,10,3,6,7,1,2,4]=>000000000=>10
[8,5,9,10,1,3,6,2,4,7]=>000000000=>10
[8,5,9,10,3,6,1,2,4,7]=>000000000=>10
[8,5,9,10,3,6,2,4,7,1]=>000000000=>10
[3,8,5,7,4,6,2,1]=>0000000=>8
[6,7,2,4,5,1,8,3]=>0000000=>8
[5,2,7,8,3,6,1,4]=>0000000=>8
[8,5,1,2,3,7,4,6]=>0000000=>8
[5,2,8,3,1,4,7,6]=>0000000=>8
[8,3,5,1,2,4,7,6]=>0000000=>8
[8,4,1,7,5,2,6,3]=>0000000=>8
[8,4,2,7,5,3,1,6]=>0000000=>8
[8,3,5,7,6,2,4,1]=>0000000=>8
[1,4,6,8,2,5,7,3]=>1000000=>1
[3,6,2,4,8,1,7,5]=>0000000=>8
[1,5,2,6,8,3,7,4]=>1000000=>1
[4,5,3,1,8,2,6,7]=>0000000=>8
[7,2,8,4,1,3,5,6]=>0000000=>8
[6,1,7,3,2,8,4,5]=>0000000=>8
[6,2,1,7,3,8,4,5]=>0000000=>8
[5,8,2,1,3,4,6,7]=>0000000=>8
[4,2,5,1,8,3,6,7]=>0000000=>8
[7,4,2,8,3,1,5,6]=>0000000=>8
[6,7,8,5,2,1,4,3]=>0000000=>8
[1,6,2,7,8,4,3,5]=>1000000=>1
[7,3,4,1,8,6,2,5]=>0000000=>8
[4,7,6,3,5,8,2,1]=>0000000=>8
[3,7,6,5,2,4,8,1]=>0000000=>8
[1,4,7,8,6,2,5,3]=>1000000=>1
[1,3,2,7,8,4,6,5]=>1010000=>1
[5,7,1,4,6,2,8,3]=>0000000=>8
[9,8,7,1,5,6,4,3,2]=>00000000=>9
[9,1,7,8,6,5,4,3,2]=>00000000=>9
[4,5,7,1,8,6,2,3]=>0000000=>8
[4,3,8,6,5,2,7,1]=>0000000=>8
[2,3,8,6,5,1,7,4]=>0000000=>8
[5,4,7,3,1,2,6,8]=>0000001=>7
[7,3,2,6,1,4,8,5]=>0000000=>8
[7,2,6,8,5,4,3,1]=>0000000=>8
[3,7,5,6,2,4,1,8]=>0000001=>7
[1,3,4,5,6,7,2,9,8]=>10000010=>1
[3,4,5,6,7,1,9,2,8]=>00000000=>9
[5,3,4,2,7,1,8,6]=>0000000=>8
[6,5,2,1,3,8,4,7]=>0000000=>8
[2,4,3,5,6,8,1,7]=>0000000=>8
[6,3,2,4,8,5,1,7]=>0000000=>8
[6,3,1,2,7,8,4,5]=>0000000=>8
[8,4,7,1,2,5,3,6]=>0000000=>8
[7,4,6,1,8,5,2,3]=>0000000=>8
[8,5,6,7,2,1,4,3]=>0000000=>8
[1,7,6,2,8,3,5,4]=>1000000=>1
[8,2,5,6,4,3,1,7]=>0000000=>8
[2,4,3,8,6,5,1,7]=>0000000=>8
[3,1,4,5,8,6,2,7]=>0000000=>8
[5,1,7,3,2,8,4,6]=>0000000=>8
[5,7,8,1,3,2,4,6]=>0000000=>8
[7,8,6,1,3,5,4,2]=>0000000=>8
[1,2,5,7,8,3,6,4]=>1100000=>1
[3,4,5,8,1,7,2,6]=>0000000=>8
[5,6,3,7,8,2,1,4]=>0000000=>8
[4,3,8,6,7,5,1,2]=>0000000=>8
[4,5,6,2,7,8,3,1]=>0000000=>8
[4,5,6,2,7,1,8,3]=>0000000=>8
[4,5,6,2,1,7,8,3]=>0000000=>8
[4,5,6,2,1,7,3,8]=>0000001=>7
[4,5,1,6,7,3,2,8]=>0000001=>7
[2,5,1,8,3,7,4,6]=>0000000=>8
[5,7,2,1,3,8,4,6]=>0000000=>8
[9,8,7,6,5,4,3,2,1,11,10]=>0000000010=>9
[2,3,4,6,8,1,7,5]=>0000000=>8
[2,5,4,8,6,7,3,1]=>0000000=>8
[8,5,2,1,7,6,3,4]=>0000000=>8
[2,7,3,6,4,1,8,5]=>0000000=>8
[7,2,1,8,5,6,4,3]=>0000000=>8
[3,6,5,1,4,8,2,7]=>0000000=>8
[6,3,5,4,8,1,2,7]=>0000000=>8
[2,5,1,4,6,3,8,7]=>0000010=>6
[8,5,6,4,3,1,7,2]=>0000000=>8
[3,7,6,4,2,8,1,5]=>0000000=>8
[8,6,1,4,3,7,2,5]=>0000000=>8
[8,4,7,5,1,6,3,2]=>0000000=>8
[8,4,1,3,7,6,5,2]=>0000000=>8
[5,8,1,4,3,2,6,7]=>0000000=>8
[5,6,4,3,8,2,7,1]=>0000000=>8
[1,6,4,3,8,2,7,5]=>1000000=>1
[7,8,1,4,3,2,5,6]=>0000000=>8
[7,1,8,4,5,3,6,2]=>0000000=>8
[4,3,1,8,6,5,7,2]=>0000000=>8
[4,3,2,7,5,1,8,6]=>0000000=>8
[5,2,3,7,4,1,8,6]=>0000000=>8
[2,1,7,4,3,6,8,5]=>0100000=>2
[7,1,2,4,5,6,8,3]=>0000000=>8
[2,8,7,1,4,5,6,3]=>0000000=>8
[8,7,1,3,4,5,6,2]=>0000000=>8
[5,8,3,1,4,6,7,2]=>0000000=>8
[1,7,2,5,4,6,8,3]=>1000000=>1
[2,5,3,8,1,6,7,4]=>0000000=>8
[1,6,4,2,5,7,8,3]=>1000000=>1
[6,5,3,4,1,7,8,2]=>0000000=>8
[5,6,3,4,1,7,8,2]=>0000000=>8
[2,5,3,1,4,7,8,6]=>0000100=>5
[6,8,2,3,1,5,7,4]=>0000000=>8
[4,3,1,5,2,7,8,6]=>0000100=>5
[5,2,3,1,4,7,8,6]=>0000100=>5
[7,2,1,3,5,6,8,4]=>0000000=>8
[5,2,4,7,8,6,3,1]=>0000000=>8
[5,4,8,7,2,3,1,6]=>0000000=>8
[8,1,4,5,3,6,2,7]=>0000000=>8
[8,3,5,1,4,6,2,7]=>0000000=>8
[5,8,2,1,7,4,3,6]=>0000000=>8
[6,5,7,2,1,8,4,3]=>0000000=>8
[1,5,4,7,3,8,6,2]=>1000000=>1
[7,4,1,3,8,5,6,2]=>0000000=>8
[3,6,8,4,1,7,2,5]=>0000000=>8
[2,1,8,4,7,6,3,5]=>0100000=>2
[2,7,5,6,8,4,3,1]=>0000000=>8
[3,5,2,4,7,8,6,1]=>0000000=>8
[7,5,6,3,8,2,1,4]=>0000000=>8
[1,6,2,7,4,5,8,3]=>1000000=>1
[7,4,2,6,1,5,8,3]=>0000000=>8
[8,4,1,6,2,5,7,3]=>0000000=>8
[7,3,4,5,1,6,8,2]=>0000000=>8
[1,3,2,5,4,7,6,9,8,11,10]=>1010101010=>1
[1,4,2,6,3,7,5,9,8]=>10000010=>1
[1,3,2,6,4,7,5,9,8]=>10100010=>1
[2,1,6,3,7,4,8,5,9]=>01000001=>2
[8,4,2,7,6,1,5,3]=>0000000=>8
[6,8,7,4,2,5,1,3]=>0000000=>8
[6,5,4,3,2,7,1,8,9]=>00000011=>7
[5,4,3,2,6,1,7,8,9]=>00000111=>6
[4,3,2,5,1,6,7,8,9]=>00001111=>5
[3,2,4,1,5,6,7,8,9]=>00011111=>4
[3,1,6,5,4,7,2,8]=>0000001=>7
[4,1,2,6,5,3,7,8]=>0000011=>6
[4,6,1,3,5,2,7,8]=>0000011=>6
[4,2,6,3,5,1,7,8]=>0000011=>6
[5,8,4,7,1,3,6,2]=>0000000=>8
[6,4,7,1,3,5,2,8]=>0000001=>7
[6,8,3,1,5,4,7,2]=>0000000=>8
[4,2,8,6,7,1,3,5]=>0000000=>8
[6,1,2,4,7,3,5,8]=>0000001=>7
[5,3,1,6,4,7,2,8]=>0000001=>7
[1,3,5,2,7,4,6,9,8]=>10000010=>1
[1,2,4,3,6,5,8,7,9]=>11010101=>1
[1,3,5,7,2,4,6,9,8]=>10000010=>1
[1,3,5,7,2,4,6,9,8,10]=>100000101=>1
[1,3,5,7,2,9,4,6,8]=>10000000=>1
[3,6,4,1,7,2,8,5]=>0000000=>8
[5,6,2,1,3,7,4,8,9]=>00000011=>7
[3,2,5,1,6,4,7,8,9]=>00000111=>6
[6,7,2,1,8,3,4,9,5]=>00000000=>9
[3,6,4,1,7,2,8,5,9]=>00000001=>8
[3,6,7,2,1,4,8,5,9]=>00000001=>8
[4,2,6,1,7,5,3,8,9]=>00000011=>7
[4,3,2,6,1,7,5,8,9]=>00000011=>7
[4,7,2,5,1,8,3,9,6]=>00000000=>9
[4,3,7,8,2,1,5,9,6]=>00000000=>9
[3,5,2,7,1,8,6,4,9]=>00000001=>8
[5,4,3,2,7,1,8,6,9]=>00000001=>8
[6,4,2,8,1,9,7,5,3]=>00000000=>9
[4,3,6,2,8,1,9,7,5]=>00000000=>9
[6,5,4,3,2,8,1,9,7]=>00000000=>9
[2,4,1,5,3,6,7,8,9,10]=>000011111=>5
[5,6,2,1,3,7,4,8,9,10]=>000000111=>7
[3,2,5,1,6,4,7,8,9,10]=>000001111=>6
[6,7,2,1,8,3,4,9,5,10]=>000000001=>9
[3,6,4,1,7,2,8,5,9,10]=>000000011=>8
[3,6,7,2,1,4,8,5,9,10]=>000000011=>8
[4,2,6,1,7,5,3,8,9,10]=>000000111=>7
[4,3,2,6,1,7,5,8,9,10]=>000000111=>7
[3,4,7,1,8,2,9,5,10,6]=>000000000=>10
[7,8,9,3,2,1,4,5,10,6]=>000000000=>10
[4,7,2,5,1,8,3,9,6,10]=>000000001=>9
[4,3,7,8,2,1,5,9,6,10]=>000000001=>9
[3,5,2,7,1,8,6,4,9,10]=>000000011=>8
[5,4,3,2,7,1,8,6,9,10]=>000000011=>8
[5,8,9,2,1,6,3,10,7,4]=>000000000=>10
[5,3,8,6,4,1,9,2,10,7]=>000000000=>10
[3,5,8,2,6,1,9,4,10,7]=>000000000=>10
[5,4,3,8,9,2,1,6,10,7]=>000000000=>10
[6,4,2,8,1,9,7,5,3,10]=>000000001=>9
[4,3,6,2,8,1,9,7,5,10]=>000000001=>9
[6,5,4,3,2,8,1,9,7,10]=>000000001=>9
[5,3,7,2,9,1,10,8,6,4]=>000000000=>10
[5,4,3,7,2,9,1,10,8,6]=>000000000=>10
[7,6,5,4,3,2,9,1,10,8]=>000000000=>10
[5,2,6,3,7,8,4,1]=>0000000=>8
[2,4,1,3,7,8,6,5]=>0001000=>4
[2,6,1,5,7,8,4,3]=>0000000=>8
[5,1,6,4,7,8,2,3]=>0000000=>8
[8,4,6,3,7,5,1,2]=>0000000=>8
[4,7,6,8,2,3,5,1]=>0000000=>8
[5,7,4,8,1,2,6,3]=>0000000=>8
[3,6,7,5,8,1,4,2]=>0000000=>8
[3,7,5,6,8,2,4,1]=>0000000=>8
[2,7,1,6,8,4,5,3]=>0000000=>8
[1,5,4,7,2,6,3,8]=>1000001=>1
[2,4,5,8,3,1,7,6]=>0000000=>8
[1,4,7,5,8,3,6,2]=>1000000=>1
[2,6,8,7,3,5,1,4]=>0000000=>8
[4,7,8,6,2,5,1,3]=>0000000=>8
[4,8,7,3,5,6,2,1]=>0000000=>8
[1,7,6,3,5,4,2,8]=>1000001=>1
[4,3,8,1,6,5,7,2]=>0000000=>8
[1,3,6,2,5,8,7,4]=>1000000=>1
[5,8,7,1,4,6,3,2]=>0000000=>8
[6,2,5,1,3,4,8,7]=>0000010=>6
[2,6,5,1,3,4,8,7]=>0000010=>6
[4,6,5,1,2,7,3,8]=>0000001=>7
[5,6,4,1,2,7,3,8]=>0000001=>7
[8,1,5,6,2,4,3,7]=>0000000=>8
[6,4,5,1,2,7,3,8]=>0000001=>7
[5,4,6,1,3,2,7,8]=>0000011=>6
[5,7,1,4,3,2,6,8]=>0000001=>7
[2,6,4,1,3,7,5,8]=>0000001=>7
[7,8,5,3,2,1,6,4]=>0000000=>8
[1,2,6,7,8,4,5,3]=>1100000=>1
[6,1,4,8,2,7,5,3]=>0000000=>8
[5,4,1,7,3,2,8,6]=>0000000=>8
[1,5,6,7,4,8,2,3]=>1000000=>1
[6,3,2,5,7,4,8,1]=>0000000=>8
[4,5,2,7,6,3,1,8]=>0000001=>7
[4,5,2,1,7,6,3,8]=>0000001=>7
[2,6,7,8,3,1,4,5]=>0000000=>8
[6,3,2,5,1,7,8,4]=>0000000=>8
[4,6,3,7,8,2,1,5]=>0000000=>8
[5,6,7,1,8,4,2,3]=>0000000=>8
[1,7,3,2,8,6,5,4]=>1000000=>1
[3,7,1,2,8,6,5,4]=>0000000=>8
[8,1,5,7,3,4,6,2]=>0000000=>8
[5,8,2,7,6,3,1,4]=>0000000=>8
[2,8,4,7,6,3,1,5]=>0000000=>8
[1,8,2,4,7,6,3,5]=>1000000=>1
[1,8,2,4,6,7,5,3]=>1000000=>1
[2,5,1,8,4,7,6,3]=>0000000=>8
[3,4,2,8,1,7,6,5]=>0000000=>8
[2,4,5,8,1,7,6,3]=>0000000=>8
[3,1,8,2,6,7,5,4]=>0000000=>8
[2,6,8,1,4,3,7,5]=>0000000=>8
[1,6,5,2,8,7,3,4]=>1000000=>1
[2,6,1,5,8,7,3,4]=>0000000=>8
[7,5,8,1,6,2,3,4]=>0000000=>8
[6,8,4,5,3,1,7,2]=>0000000=>8
[7,6,1,3,5,2,4,8]=>0000001=>7
[6,2,4,5,3,8,1,7]=>0000000=>8
[6,8,5,4,7,1,3,2]=>0000000=>8
[7,5,8,1,3,4,2,6]=>0000000=>8
[1,4,2,8,3,5,7,6]=>1000000=>1
[1,3,5,4,8,7,2,6]=>1000000=>1
[1,6,2,4,8,3,7,5]=>1000000=>1
[1,7,8,5,4,2,6,3]=>1000000=>1
[1,5,2,8,6,4,7,3]=>1000000=>1
[1,6,5,2,7,4,8,3]=>1000000=>1
[1,5,4,2,8,6,7,3]=>1000000=>1
[1,7,5,4,6,2,8,3]=>1000000=>1
[6,4,5,1,7,2,8,3]=>0000000=>8
[4,8,1,3,7,6,2,5]=>0000000=>8
[4,5,3,1,2,8,7,6]=>0000100=>5
[6,4,2,3,1,8,7,5]=>0000000=>8
[6,5,2,1,3,8,7,4]=>0000000=>8
[7,6,1,8,2,5,3,4]=>0000000=>8
[8,4,2,3,7,6,1,5]=>0000000=>8
[5,7,8,1,2,4,3,6]=>0000000=>8
[1,7,6,8,3,5,4,2]=>1000000=>1
[5,7,6,4,2,1,3,8]=>0000001=>7
[6,5,7,4,1,3,2,8]=>0000001=>7
[4,6,1,8,3,5,2,7]=>0000000=>8
[7,1,6,8,2,5,4,3]=>0000000=>8
[4,7,1,8,3,2,5,6]=>0000000=>8
[4,8,3,6,1,5,2,7]=>0000000=>8
[1,7,8,6,4,5,3,2]=>1000000=>1
[3,2,8,6,4,5,1,7]=>0000000=>8
[8,4,3,6,2,5,1,7]=>0000000=>8
[1,6,8,7,4,3,5,2]=>1000000=>1
[3,1,2,6,8,7,5,4]=>0010000=>3
[7,4,6,3,8,1,5,2]=>0000000=>8
[7,4,8,3,6,2,1,5]=>0000000=>8
[6,4,8,2,5,7,1,3]=>0000000=>8
[6,8,4,2,7,1,3,5]=>0000000=>8
[6,8,2,4,1,7,3,5]=>0000000=>8
[7,5,1,6,2,4,8,3]=>0000000=>8
[4,2,5,7,1,6,8,3]=>0000000=>8
[4,5,2,3,8,7,1,6]=>0000000=>8
[2,5,4,7,6,1,3,8]=>0000001=>7
[5,2,3,7,6,1,4,8]=>0000001=>7
[4,2,3,7,6,1,5,8]=>0000001=>7
[4,2,7,3,5,1,6,8]=>0000001=>7
[5,6,2,3,8,4,7,1]=>0000000=>8
[5,6,2,3,1,7,8,4]=>0000000=>8
[5,7,2,3,4,1,6,8]=>0000001=>7
[6,2,7,3,5,1,4,8]=>0000001=>7
[7,2,6,3,5,1,4,8]=>0000001=>7
[6,5,2,3,1,7,8,4]=>0000000=>8
[6,5,2,3,8,4,7,1]=>0000000=>8
[7,5,2,1,4,6,8,3]=>0000000=>8
[8,5,2,3,1,6,4,7]=>0000000=>8
[8,6,2,3,1,5,4,7]=>0000000=>8
[8,2,6,3,1,7,4,5]=>0000000=>8
[1,6,3,4,2,7,5,8]=>1000001=>1
[8,5,2,7,3,4,6,1]=>0000000=>8
[1,7,2,4,5,6,8,3]=>1000000=>1
[1,8,3,2,5,6,4,7]=>1000000=>1
[7,2,8,1,4,6,3,5]=>0000000=>8
[2,7,8,1,5,6,3,4]=>0000000=>8
[6,8,2,3,1,5,4,7]=>0000000=>8
[5,8,2,3,1,6,4,7]=>0000000=>8
[5,7,2,1,4,6,8,3]=>0000000=>8
[4,2,7,1,5,6,8,3]=>0000000=>8
[4,2,3,8,1,7,5,6]=>0000000=>8
[4,2,1,5,3,7,6,8]=>0000101=>5
[5,1,3,8,4,6,7,2]=>0000000=>8
[5,1,3,2,6,7,8,4]=>0000000=>8
[5,1,3,4,2,7,6,8]=>0000101=>5
[6,1,3,4,2,7,5,8]=>0000001=>7
[7,2,1,3,5,8,4,6]=>0000000=>8
[6,8,7,2,3,4,5,1]=>0000000=>8
[10,9,11,8,7,6,5,4,3,2,1]=>0000000000=>11
[2,8,7,5,1,3,4,6]=>0000000=>8
[2,1,10,3,4,5,6,7,8,9]=>010000000=>2
[9,7,5,3,1,8,6,4,2]=>00000000=>9
[9,5,1,6,2,7,3,8,4]=>00000000=>9
[10,7,4,1,8,5,2,9,6,3]=>000000000=>10
[5,2,1,3,6,7,8,4]=>0000000=>8
[8,3,7,5,1,4,2,6]=>0000000=>8
[4,3,7,5,1,6,2,8]=>0000001=>7
[5,2,6,1,4,3,7,8]=>0000011=>6
[3,5,2,8,6,7,4,1]=>0000000=>8
[5,3,7,4,2,8,6,1]=>0000000=>8
[7,4,8,2,3,5,6,1]=>0000000=>8
[5,6,2,8,7,1,4,3]=>0000000=>8
[4,6,3,5,2,7,8,1]=>0000000=>8
[4,1,6,3,5,7,2,8]=>0000001=>7
[3,1,5,7,4,6,8,2]=>0000000=>8
[7,2,5,8,6,1,4,3]=>0000000=>8
[4,3,6,1,5,7,8,2]=>0000000=>8
[3,5,4,1,2,6,7,8]=>0000111=>5
[5,3,1,4,6,7,8,2]=>0000000=>8
[4,6,7,1,3,5,8,2]=>0000000=>8
[5,6,1,3,4,7,2,8]=>0000001=>7
[2,5,3,7,8,4,6,1]=>0000000=>8
[4,6,2,1,3,7,8,5]=>0000000=>8
[3,6,2,4,1,7,5,8]=>0000001=>7
[3,2,6,7,4,8,5,1]=>0000000=>8
[7,1,3,8,4,5,2,6]=>0000000=>8
[7,1,8,3,4,6,2,5]=>0000000=>8
[6,3,2,7,5,8,4,1]=>0000000=>8
[6,2,7,1,4,5,3,8]=>0000001=>7
[4,2,6,1,5,7,3,8]=>0000001=>7
[2,5,4,1,3,6,7,8]=>0000111=>5
[5,4,1,2,6,7,3,8]=>0000001=>7
[6,5,2,7,4,1,3,8]=>0000001=>7
[6,5,7,3,1,4,2,8]=>0000001=>7
[6,7,4,3,1,5,8,2]=>0000000=>8
[4,2,5,6,7,8,9,1,3]=>00000000=>9
[3,1,6,7,8,4,5,2]=>0000000=>8
[3,4,5,6,7,8,9,10,1,11,2]=>0000000000=>11
[6,4,5,2,7,1,8,3]=>0000000=>8
[3,7,5,6,2,1,8,4]=>0000000=>8
[6,4,1,2,7,8,3,5]=>0000000=>8
[6,5,4,7,2,8,3,1]=>0000000=>8
[3,2,4,6,5,8,1,7]=>0000000=>8
[3,5,4,8,7,1,6,2]=>0000000=>8
[7,5,2,1,6,3,4,8]=>0000001=>7
[6,3,1,7,4,2,5,8]=>0000001=>7
[8,7,2,1,5,3,6,4]=>0000000=>8
[6,8,5,3,7,4,2,1]=>0000000=>8
[7,2,8,1,5,6,4,3]=>0000000=>8
[8,3,6,4,1,5,7,2]=>0000000=>8
[7,5,6,1,4,8,2,3]=>0000000=>8
[5,7,2,6,3,8,4,1]=>0000000=>8
[8,4,1,2,3,6,7,5]=>0000000=>8
[5,6,4,2,1,8,3,7]=>0000000=>8
[6,8,1,3,2,7,5,4]=>0000000=>8
[5,7,3,6,4,1,2,8]=>0000001=>7
[7,2,4,3,8,1,5,6]=>0000000=>8
[2,5,4,6,1,3,8,7]=>0000010=>6
[2,4,3,5,8,1,6,7]=>0000000=>8
[6,1,2,4,3,5,7,8]=>0000011=>6
[1,7,6,8,4,3,2,5]=>1000000=>1
[1,7,6,5,3,8,2,4]=>1000000=>1
[6,1,2,4,3,5,8,7]=>0000010=>6
[8,4,1,5,2,6,7,3]=>0000000=>8
[6,4,5,3,1,8,7,2]=>0000000=>8
[2,8,6,1,5,4,7,3]=>0000000=>8
[3,8,6,4,7,1,2,5]=>0000000=>8
[1,8,7,5,4,3,2,6]=>1000000=>1
[8,6,4,7,1,3,2,5]=>0000000=>8
[6,1,5,8,2,7,4,3]=>0000000=>8
[7,1,2,3,6,4,5,8]=>0000001=>7
[7,4,1,3,6,5,2,8]=>0000001=>7
[5,7,2,8,1,3,6,4]=>0000000=>8
[5,4,1,2,6,3,8,7]=>0000010=>6
[2,7,8,4,1,3,6,5]=>0000000=>8
[2,4,6,5,7,8,1,3]=>0000000=>8
[2,4,6,7,5,8,1,3]=>0000000=>8
[2,4,6,3,7,8,1,5]=>0000000=>8
[2,4,5,6,8,7,1,3]=>0000000=>8
[2,4,5,6,8,3,7,1]=>0000000=>8
[2,4,5,6,3,8,1,7]=>0000000=>8
[2,3,4,6,8,5,1,7]=>0000000=>8
[3,6,4,1,2,7,8,5]=>0000000=>8
[4,1,7,3,8,6,2,5]=>0000000=>8
[8,4,1,2,5,3,7,6]=>0000000=>8
[1,5,2,7,6,8,4,3]=>1000000=>1
[4,7,6,8,3,1,2,5]=>0000000=>8
[4,8,2,7,6,5,1,3]=>0000000=>8
[7,4,2,8,6,5,1,3]=>0000000=>8
[8,6,5,2,7,1,4,3]=>0000000=>8
[6,5,8,2,7,1,4,3]=>0000000=>8
[7,5,8,2,1,6,4,3]=>0000000=>8
[3,2,1,6,5,8,4,7]=>0010000=>3
[2,6,4,8,5,7,3,1]=>0000000=>8
[6,3,1,4,5,8,2,7]=>0000000=>8
[3,4,8,5,2,1,7,6]=>0000000=>8
[4,8,7,1,3,2,6,5]=>0000000=>8
[5,8,7,4,6,1,3,2]=>0000000=>8
[3,4,1,8,7,6,2,5]=>0000000=>8
[1,3,5,6,8,7,2,4]=>1000000=>1
[2,8,7,5,4,1,6,3]=>0000000=>8
[8,1,5,7,4,2,6,3]=>0000000=>8
[5,8,7,3,4,1,6,2]=>0000000=>8
[3,1,2,8,7,6,4,5]=>0010000=>3
[3,4,5,7,8,1,6,2]=>0000000=>8
[1,8,7,4,3,5,2,6]=>1000000=>1
[2,4,5,8,1,3,7,6]=>0000000=>8
[2,7,8,6,5,3,1,4]=>0000000=>8
[2,8,3,5,6,1,4,7]=>0000000=>8
[1,3,6,4,2,7,5,8]=>1000001=>1
[2,3,7,5,8,1,4,6]=>0000000=>8
[3,2,8,5,6,1,4,7]=>0000000=>8
[7,2,5,8,1,4,6,3]=>0000000=>8
[4,7,5,8,1,2,6,3]=>0000000=>8
[4,7,5,8,1,2,3,6]=>0000000=>8
[3,4,7,5,2,8,1,6]=>0000000=>8
[4,3,2,5,7,8,1,6]=>0000000=>8
[2,4,7,5,8,3,1,6]=>0000000=>8
[2,5,4,7,3,8,1,6]=>0000000=>8
[3,7,8,4,2,1,6,5]=>0000000=>8
[1,5,4,8,7,6,2,3]=>1000000=>1
[1,3,6,8,2,4,7,5]=>1000000=>1
[1,6,7,4,3,8,2,5]=>1000000=>1
[7,3,1,6,5,2,8,4]=>0000000=>8
[4,7,2,8,5,1,6,3]=>0000000=>8
[2,1,3,8,7,5,6,4]=>0110000=>2
[1,6,4,7,3,8,5,2]=>1000000=>1
[1,2,3,4,5,6,8,10,7,9]=>111111000=>1
[4,5,6,7,8,1,2,3,9]=>00000001=>8
[8,5,4,1,6,3,7,2]=>0000000=>8
[1,7,6,2,4,8,5,3]=>1000000=>1
[2,6,8,5,4,3,1,7]=>0000000=>8
[8,3,6,1,2,7,4,5]=>0000000=>8
[7,6,2,4,8,5,1,3]=>0000000=>8
[4,7,5,2,6,3,8,1]=>0000000=>8
[3,5,6,2,8,1,4,7]=>0000000=>8
[8,9,10,4,5,6,2,3,1,7]=>000000000=>10
[8,9,4,5,6,10,2,3,1,7]=>000000000=>10
[8,9,10,4,5,2,3,6,1,7]=>000000000=>10
[8,9,4,5,10,2,3,6,1,7]=>000000000=>10
[8,9,4,5,2,3,6,10,1,7]=>000000000=>10
[8,4,5,9,10,2,3,6,1,7]=>000000000=>10
[8,4,5,9,2,3,6,10,1,7]=>000000000=>10
[8,9,10,4,5,6,2,1,3,7]=>000000000=>10
[8,9,4,5,6,10,2,1,3,7]=>000000000=>10
[8,9,10,4,5,2,6,1,3,7]=>000000000=>10
[8,9,4,5,10,2,6,1,3,7]=>000000000=>10
[8,9,4,5,2,6,10,1,3,7]=>000000000=>10
[8,4,5,9,10,2,6,1,3,7]=>000000000=>10
[8,4,5,9,2,6,10,1,3,7]=>000000000=>10
[8,9,10,4,5,2,1,3,6,7]=>000000000=>10
[8,9,4,5,10,2,1,3,6,7]=>000000000=>10
[8,9,4,5,2,10,1,3,6,7]=>000000000=>10
[8,9,4,5,2,1,3,6,10,7]=>000000000=>10
[8,4,5,9,10,2,1,3,6,7]=>000000000=>10
[8,4,5,9,2,10,1,3,6,7]=>000000000=>10
[8,4,5,9,2,1,3,6,10,7]=>000000000=>10
[8,9,10,4,2,5,6,1,3,7]=>000000000=>10
[8,9,4,10,2,5,6,1,3,7]=>000000000=>10
[8,9,4,2,5,6,10,1,3,7]=>000000000=>10
[8,4,9,10,2,5,6,1,3,7]=>000000000=>10
[8,4,9,2,5,6,10,1,3,7]=>000000000=>10
[8,9,10,4,2,5,1,3,6,7]=>000000000=>10
[8,9,4,10,2,5,1,3,6,7]=>000000000=>10
[8,9,4,2,5,10,1,3,6,7]=>000000000=>10
[8,9,4,2,5,1,3,6,10,7]=>000000000=>10
[8,4,9,10,2,5,1,3,6,7]=>000000000=>10
[8,4,9,2,5,1,3,6,10,7]=>000000000=>10
[8,4,2,5,9,10,1,3,6,7]=>000000000=>10
[8,4,2,5,9,1,3,6,10,7]=>000000000=>10
[4,8,9,10,2,5,6,1,3,7]=>000000000=>10
[4,8,9,2,5,6,10,1,3,7]=>000000000=>10
[4,8,9,10,2,5,1,3,6,7]=>000000000=>10
[4,8,9,2,5,10,1,3,6,7]=>000000000=>10
[4,8,9,2,5,1,3,6,10,7]=>000000000=>10
[4,8,2,5,9,10,1,3,6,7]=>000000000=>10
[4,8,2,5,9,1,3,6,10,7]=>000000000=>10
[1,6,8,2,5,3,4,7]=>1000000=>1
[8,6,3,5,2,1,4,7]=>0000000=>8
[4,1,3,8,5,6,2,7]=>0000000=>8
[5,2,8,3,1,6,7,4]=>0000000=>8
[1,7,8,6,3,2,5,4]=>1000000=>1
[3,2,8,1,5,7,4,6]=>0000000=>8
[3,4,6,7,2,1,5,8]=>0000001=>7
[2,6,7,1,4,3,8,5]=>0000000=>8
[4,2,5,3,8,6,7,1]=>0000000=>8
[3,2,7,4,8,5,6,1]=>0000000=>8
[7,2,5,1,6,3,8,4]=>0000000=>8
[4,5,2,8,3,7,1,6]=>0000000=>8
[7,8,5,1,6,4,3,2]=>0000000=>8
[8,7,5,1,6,4,3,2]=>0000000=>8
[4,5,8,3,1,2,7,6]=>0000000=>8
[1,4,6,3,7,5,2,8]=>1000001=>1
[1,7,6,3,8,5,2,4]=>1000000=>1
[6,2,4,3,7,5,8,1]=>0000000=>8
[3,8,2,1,5,7,6,4]=>0000000=>8
[1,3,2,8,7,4,6,5]=>1010000=>1
[7,5,2,8,3,1,6,4]=>0000000=>8
[4,6,3,7,8,1,2,5]=>0000000=>8
[6,2,5,4,1,7,8,3]=>0000000=>8
[4,1,5,6,3,8,7,2]=>0000000=>8
[8,5,1,6,3,2,4,7]=>0000000=>8
[8,1,5,4,6,7,3,2]=>0000000=>8
[2,4,5,8,3,7,6,1]=>0000000=>8
[6,4,5,1,3,8,7,2]=>0000000=>8
[6,1,3,5,4,8,2,7]=>0000000=>8
[1,3,8,7,2,5,6,4]=>1000000=>1
[2,5,4,1,8,3,7,6]=>0000000=>8
[5,1,4,8,3,7,6,2]=>0000000=>8
[8,4,1,2,7,6,5,3]=>0000000=>8
[4,8,3,2,7,6,5,1]=>0000000=>8
[1,8,7,3,4,6,5,2]=>1000000=>1
[5,3,1,2,4,6,8,7]=>0000110=>5
[1,4,3,8,5,7,2,6]=>1000000=>1
[4,8,1,3,6,2,7,5]=>0000000=>8
[1,8,2,4,7,3,6,5]=>1000000=>1
[2,7,1,6,5,8,3,4]=>0000000=>8
[6,2,3,8,1,5,7,4]=>0000000=>8
[2,5,7,4,8,3,6,1]=>0000000=>8
[4,3,7,1,2,8,5,6]=>0000000=>8
[3,8,6,2,7,5,4,1]=>0000000=>8
[1,8,4,2,5,7,3,6]=>1000000=>1
[5,8,3,1,2,4,6,7]=>0000000=>8
[1,4,8,5,2,3,6,7]=>1000000=>1
[7,1,4,2,6,8,3,5]=>0000000=>8
[1,5,8,7,2,4,3,6]=>1000000=>1
[1,5,4,2,8,3,7,6]=>1000000=>1
[8,7,1,3,2,5,4,6]=>0000000=>8
[6,7,4,2,8,1,3,5]=>0000000=>8
[4,1,6,8,7,2,3,5]=>0000000=>8
[2,1,4,3,6,5,9,7,10,8]=>010101000=>2
[2,1,4,3,7,5,8,6,10,9]=>010100010=>2
[2,1,4,3,7,5,9,6,10,8]=>010100000=>2
[2,1,4,3,8,5,9,6,10,7]=>010100000=>2
[2,1,5,3,6,4,8,7,10,9]=>010001010=>2
[2,1,5,3,6,4,9,7,10,8]=>010001000=>2
[2,1,5,3,7,4,8,6,10,9]=>010000010=>2
[2,1,5,3,7,4,9,6,10,8]=>010000000=>2
[2,1,5,3,8,4,9,6,10,7]=>010000000=>2
[2,1,6,3,7,4,8,5,10,9]=>010000010=>2
[2,1,6,3,7,4,9,5,10,8]=>010000000=>2
[2,1,6,3,8,4,9,5,10,7]=>010000000=>2
[2,1,7,3,8,4,9,5,10,6]=>010000000=>2
[3,1,4,2,6,5,9,7,10,8]=>000101000=>4
[3,1,4,2,7,5,8,6,10,9]=>000100010=>4
[3,1,4,2,7,5,9,6,10,8]=>000100000=>4
[3,1,4,2,8,5,9,6,10,7]=>000100000=>4
[3,1,5,2,6,4,9,7,10,8]=>000001000=>6
[3,1,5,2,8,4,9,6,10,7]=>000000000=>10
[3,1,6,2,7,4,8,5,10,9]=>000000010=>8
[3,1,6,2,7,4,9,5,10,8]=>000000000=>10
[3,1,6,2,8,4,9,5,10,7]=>000000000=>10
[3,1,7,2,8,4,9,5,10,6]=>000000000=>10
[4,1,5,2,6,3,9,7,10,8]=>000001000=>6
[4,1,5,2,7,3,8,6,10,9]=>000000010=>8
[4,1,5,2,7,3,9,6,10,8]=>000000000=>10
[4,1,5,2,8,3,9,6,10,7]=>000000000=>10
[4,1,6,2,7,3,8,5,10,9]=>000000010=>8
[4,1,6,2,7,3,9,5,10,8]=>000000000=>10
[4,1,6,2,8,3,9,5,10,7]=>000000000=>10
[4,1,7,2,8,3,9,5,10,6]=>000000000=>10
[5,1,6,2,7,3,9,4,10,8]=>000000000=>10
[5,1,6,2,8,3,9,4,10,7]=>000000000=>10
[5,1,7,2,8,3,9,4,10,6]=>000000000=>10
[2,1,4,3,6,5,9,7,10,8,12,11]=>01010100010=>2
[2,1,4,3,7,5,8,6,10,9,12,11]=>01010001010=>2
[2,1,4,3,7,5,8,6,11,9,12,10]=>01010001000=>2
[2,1,5,3,6,4,8,7,10,9,12,11]=>01000101010=>2
[2,1,5,3,6,4,8,7,11,9,12,10]=>01000101000=>2
[2,1,5,3,6,4,9,7,10,8,12,11]=>01000100010=>2
[2,1,5,3,7,4,8,6,11,9,12,10]=>01000001000=>2
[2,1,5,3,7,4,9,6,11,8,12,10]=>01000000000=>2
[2,1,5,3,7,4,10,6,11,8,12,9]=>01000000000=>2
[2,1,5,3,8,4,9,6,11,7,12,10]=>01000000000=>2
[2,1,5,3,8,4,10,6,11,7,12,9]=>01000000000=>2
[2,1,5,3,9,4,10,6,11,7,12,8]=>01000000000=>2
[2,1,6,3,7,4,8,5,11,9,12,10]=>01000001000=>2
[2,1,6,3,7,4,9,5,11,8,12,10]=>01000000000=>2
[2,1,6,3,7,4,10,5,11,8,12,9]=>01000000000=>2
[2,1,6,3,8,4,9,5,11,7,12,10]=>01000000000=>2
[2,1,6,3,8,4,10,5,11,7,12,9]=>01000000000=>2
[2,1,6,3,9,4,10,5,11,7,12,8]=>01000000000=>2
[2,1,7,3,8,4,9,5,11,6,12,10]=>01000000000=>2
[2,1,7,3,8,4,10,5,11,6,12,9]=>01000000000=>2
[2,1,7,3,9,4,10,5,11,6,12,8]=>01000000000=>2
[2,1,8,3,9,4,10,5,11,6,12,7]=>01000000000=>2
[3,1,4,2,6,5,8,7,11,9,12,10]=>00010101000=>4
[3,1,4,2,6,5,9,7,10,8,12,11]=>00010100010=>4
[3,1,4,2,7,5,8,6,10,9,12,11]=>00010001010=>4
[3,1,4,2,7,5,8,6,11,9,12,10]=>00010001000=>4
[3,1,4,2,7,5,9,6,10,8,12,11]=>00010000010=>4
[3,1,4,2,8,5,9,6,10,7,12,11]=>00010000010=>4
[3,1,5,2,6,4,9,7,11,8,12,10]=>00000100000=>6
[3,1,5,2,6,4,10,7,11,8,12,9]=>00000100000=>6
[3,1,5,2,7,4,9,6,10,8,12,11]=>00000000010=>10
[3,1,5,2,8,4,9,6,10,7,12,11]=>00000000010=>10
[3,1,6,2,7,4,9,5,10,8,12,11]=>00000000010=>10
[3,1,6,2,8,4,9,5,10,7,12,11]=>00000000010=>10
[3,1,7,2,8,4,9,5,10,6,12,11]=>00000000010=>10
[4,1,5,2,6,3,9,7,11,8,12,10]=>00000100000=>6
[4,1,5,2,6,3,10,7,11,8,12,9]=>00000100000=>6
[4,1,5,2,7,3,9,6,10,8,12,11]=>00000000010=>10
[4,1,5,2,8,3,9,6,10,7,12,11]=>00000000010=>10
[4,1,6,2,7,3,9,5,10,8,12,11]=>00000000010=>10
[4,1,6,2,8,3,9,5,10,7,12,11]=>00000000010=>10
[4,1,7,2,8,3,9,5,10,6,12,11]=>00000000010=>10
[5,1,6,2,7,3,9,4,10,8,12,11]=>00000000010=>10
[5,1,6,2,8,3,9,4,10,7,12,11]=>00000000010=>10
[5,1,7,2,8,3,9,4,10,6,12,11]=>00000000010=>10
[6,1,7,2,8,3,9,4,10,5,12,11]=>00000000010=>10
[6,1,7,3,5,8,2,4]=>0000000=>8
[1,3,7,6,4,8,2,5]=>1000000=>1
[2,1,8,7,3,5,4,6]=>0100000=>2
[6,1,8,5,7,4,3,2]=>0000000=>8
[8,5,1,4,7,6,3,2]=>0000000=>8
[8,1,3,7,2,4,6,5]=>0000000=>8
[5,3,1,6,4,8,2,7]=>0000000=>8
[2,5,6,7,1,4,8,3]=>0000000=>8
[4,7,5,3,2,8,1,6]=>0000000=>8
[3,8,6,7,2,5,4,1]=>0000000=>8
[5,8,1,2,7,4,3,6]=>0000000=>8
[6,3,1,8,2,4,5,7]=>0000000=>8
[4,6,3,7,8,1,5,2]=>0000000=>8
[7,6,2,4,8,3,1,5]=>0000000=>8
[8,1,4,2,7,5,6,3]=>0000000=>8
[1,7,2,8,3,9,4,10,5,6]=>100000000=>1
[1,7,2,8,3,9,10,4,5,6]=>100000000=>1
[1,7,2,8,9,3,4,10,5,6]=>100000000=>1
[1,7,2,8,9,3,10,4,5,6]=>100000000=>1
[1,7,2,8,9,10,3,4,5,6]=>100000000=>1
[1,7,8,2,3,9,4,10,5,6]=>100000000=>1
[1,7,8,2,3,9,10,4,5,6]=>100000000=>1
[1,7,8,2,9,3,4,10,5,6]=>100000000=>1
[1,7,8,2,9,3,10,4,5,6]=>100000000=>1
[1,7,8,2,9,10,3,4,5,6]=>100000000=>1
[1,7,8,9,2,3,4,10,5,6]=>100000000=>1
[1,7,8,9,2,3,10,4,5,6]=>100000000=>1
[1,7,8,9,2,10,3,4,5,6]=>100000000=>1
[7,1,2,8,3,9,4,10,5,6]=>000000000=>10
[7,1,2,8,3,9,10,4,5,6]=>000000000=>10
[7,1,2,8,9,3,4,10,5,6]=>000000000=>10
[7,1,2,8,9,3,10,4,5,6]=>000000000=>10
[7,1,2,8,9,10,3,4,5,6]=>000000000=>10
[7,1,8,2,3,9,4,10,5,6]=>000000000=>10
[7,1,8,2,3,9,10,4,5,6]=>000000000=>10
[7,1,8,2,9,3,4,10,5,6]=>000000000=>10
[7,1,8,2,9,10,3,4,5,6]=>000000000=>10
[7,1,8,9,2,3,4,10,5,6]=>000000000=>10
[7,1,8,9,2,3,10,4,5,6]=>000000000=>10
[7,1,8,9,2,10,3,4,5,6]=>000000000=>10
[7,1,8,9,10,2,3,4,5,6]=>000000000=>10
[7,8,1,2,3,9,4,10,5,6]=>000000000=>10
[7,8,1,2,3,9,10,4,5,6]=>000000000=>10
[7,8,1,2,9,3,4,10,5,6]=>000000000=>10
[7,8,1,2,9,3,10,4,5,6]=>000000000=>10
[7,8,1,2,9,10,3,4,5,6]=>000000000=>10
[7,8,1,9,2,3,4,10,5,6]=>000000000=>10
[7,8,1,9,2,3,10,4,5,6]=>000000000=>10
[7,8,1,9,2,10,3,4,5,6]=>000000000=>10
[7,8,1,9,10,2,3,4,5,6]=>000000000=>10
[7,8,9,1,2,3,4,10,5,6]=>000000000=>10
[7,8,9,1,2,3,10,4,5,6]=>000000000=>10
[7,8,9,1,2,10,3,4,5,6]=>000000000=>10
[7,8,9,1,10,2,3,4,5,6]=>000000000=>10
[1,8,2,9,3,10,4,11,5,12,6,7]=>10000000000=>1
[1,8,2,9,3,10,4,11,12,5,6,7]=>10000000000=>1
[1,8,2,9,3,10,11,4,5,12,6,7]=>10000000000=>1
[1,8,2,9,3,10,11,4,12,5,6,7]=>10000000000=>1
[1,8,2,9,3,10,11,12,4,5,6,7]=>10000000000=>1
[1,8,2,9,10,3,4,11,5,12,6,7]=>10000000000=>1
[1,8,2,9,10,3,4,11,12,5,6,7]=>10000000000=>1
[1,8,2,9,10,3,11,4,5,12,6,7]=>10000000000=>1
[1,8,2,9,10,3,11,4,12,5,6,7]=>10000000000=>1
[1,8,2,9,10,3,11,12,4,5,6,7]=>10000000000=>1
[1,8,2,9,10,11,3,4,5,12,6,7]=>10000000000=>1
[1,8,2,9,10,11,3,4,12,5,6,7]=>10000000000=>1
[1,8,2,9,10,11,3,12,4,5,6,7]=>10000000000=>1
[1,8,2,9,10,11,12,3,4,5,6,7]=>10000000000=>1
[1,8,9,2,3,10,4,11,5,12,6,7]=>10000000000=>1
[1,8,9,2,3,10,4,11,12,5,6,7]=>10000000000=>1
[1,8,9,2,3,10,11,4,5,12,6,7]=>10000000000=>1
[1,8,9,2,3,10,11,4,12,5,6,7]=>10000000000=>1
[1,8,9,2,3,10,11,12,4,5,6,7]=>10000000000=>1
[1,8,9,2,10,3,4,11,5,12,6,7]=>10000000000=>1
[1,8,9,2,10,3,4,11,12,5,6,7]=>10000000000=>1
[1,8,9,2,10,3,11,4,5,12,6,7]=>10000000000=>1
[1,8,9,2,10,3,11,4,12,5,6,7]=>10000000000=>1
[1,8,9,2,10,3,11,12,4,5,6,7]=>10000000000=>1
[1,8,9,2,10,11,3,4,5,12,6,7]=>10000000000=>1
[1,8,9,2,10,11,3,4,12,5,6,7]=>10000000000=>1
[1,8,9,2,10,11,3,12,4,5,6,7]=>10000000000=>1
[1,8,9,2,10,11,12,3,4,5,6,7]=>10000000000=>1
[1,8,9,10,2,3,4,11,5,12,6,7]=>10000000000=>1
[1,8,9,10,2,3,4,11,12,5,6,7]=>10000000000=>1
[1,8,9,10,2,3,11,4,5,12,6,7]=>10000000000=>1
[1,8,9,10,2,3,11,4,12,5,6,7]=>10000000000=>1
[1,8,9,10,2,3,11,12,4,5,6,7]=>10000000000=>1
[1,8,9,10,2,11,3,4,5,12,6,7]=>10000000000=>1
[1,8,9,10,2,11,3,4,12,5,6,7]=>10000000000=>1
[1,8,9,10,2,11,3,12,4,5,6,7]=>10000000000=>1
[1,8,9,10,2,11,12,3,4,5,6,7]=>10000000000=>1
[1,8,9,10,11,2,3,4,5,12,6,7]=>10000000000=>1
[1,8,9,10,11,2,3,4,12,5,6,7]=>10000000000=>1
[1,8,9,10,11,2,3,12,4,5,6,7]=>10000000000=>1
[1,8,9,10,11,2,12,3,4,5,6,7]=>10000000000=>1
[1,8,9,10,11,12,2,3,4,5,6,7]=>10000000000=>1
[1,7,6,5,4,3,2,9,8]=>10000010=>1
[3,7,1,4,6,8,2,5]=>0000000=>8
[2,4,7,3,6,8,1,5]=>0000000=>8
[6,5,2,8,7,1,4,3]=>0000000=>8
[2,6,1,3,8,5,4,7]=>0000000=>8
[6,4,1,8,3,2,5,7]=>0000000=>8
[5,8,1,4,2,7,3,6]=>0000000=>8
[2,3,1,6,8,7,4,5]=>0010000=>3
[6,4,8,2,1,7,3,5]=>0000000=>8
[1,6,5,3,8,2,4,7]=>1000000=>1
[5,6,1,2,4,8,3,7]=>0000000=>8
[8,5,1,2,7,4,3,6]=>0000000=>8
[1,4,7,5,8,2,3,6]=>1000000=>1
[1,6,8,4,7,3,2,5]=>1000000=>1
[2,1,5,7,4,6,8,3]=>0100000=>2
[2,3,5,7,8,1,6,4]=>0000000=>8
[1,5,7,4,2,3,6,8]=>1000001=>1
[2,4,7,5,3,6,8,1]=>0000000=>8
[8,1,7,2,4,6,3,5]=>0000000=>8
[1,2,4,7,8,6,3,5]=>1100000=>1
[2,4,7,8,3,5,1,6]=>0000000=>8
[1,3,6,2,5,8,4,7]=>1000000=>1
[1,5,3,6,8,2,4,7]=>1000000=>1
[4,8,1,2,6,3,7,5]=>0000000=>8
[5,8,1,2,6,3,7,4]=>0000000=>8
[1,6,2,3,7,5,8,4]=>1000000=>1
[4,1,2,6,5,7,8,3]=>0000000=>8
[1,8,4,2,7,3,6,5]=>1000000=>1
[1,7,5,2,3,8,6,4]=>1000000=>1
[8,1,4,7,3,5,2,6]=>0000000=>8
[8,4,3,6,1,7,2,5]=>0000000=>8
[2,6,1,8,3,7,4,5]=>0000000=>8
[8,4,2,1,3,7,5,6]=>0000000=>8
[2,5,1,7,6,8,3,4]=>0000000=>8
[5,3,1,8,2,4,7,6]=>0000000=>8
[1,2,6,3,7,5,8,4]=>1100000=>1
[5,1,8,3,2,4,7,6]=>0000000=>8
[3,1,5,4,6,7,8,2]=>0000000=>8
[2,8,5,7,3,1,4,6]=>0000000=>8
[2,6,8,7,3,1,4,5]=>0000000=>8
[7,4,2,1,3,8,5,6]=>0000000=>8
[7,2,1,3,8,5,4,6]=>0000000=>8
[2,1,7,3,8,6,4,5]=>0100000=>2
[1,7,5,3,2,4,8,6]=>1000000=>1
[1,4,2,7,6,5,8,3]=>1000000=>1
[3,4,1,6,5,7,8,2]=>0000000=>8
[2,8,7,3,4,1,5,6]=>0000000=>8
[5,7,6,2,3,8,1,4]=>0000000=>8
[4,5,7,6,2,8,1,3]=>0000000=>8
[3,1,8,7,5,2,6,4]=>0000000=>8
[4,5,6,8,7,2,1,3]=>0000000=>8
[3,8,4,1,5,2,7,6]=>0000000=>8
[1,8,6,2,4,3,7,5]=>1000000=>1
[6,2,7,1,5,8,4,3]=>0000000=>8
[1,4,5,6,7,8,9,3,2]=>10000000=>1
[4,1,6,5,2,3,7,8]=>0000011=>6
[4,1,3,6,7,2,5,8]=>0000001=>7
[2,7,5,8,1,3,6,4]=>0000000=>8
[5,1,6,7,3,2,4,8]=>0000001=>7
[1,2,5,7,8,6,3,4]=>1100000=>1
[1,2,6,7,4,5,3,8]=>1100001=>1
[1,2,7,8,4,6,3,5]=>1100000=>1
[8,6,5,2,1,7,4,3]=>0000000=>8
[4,3,8,6,7,1,5,2]=>0000000=>8
[8,3,2,4,7,1,6,5]=>0000000=>8
[7,3,2,8,6,1,5,4]=>0000000=>8
[7,5,8,2,6,1,4,3]=>0000000=>8
[5,6,8,2,7,4,1,3]=>0000000=>8
[7,4,1,2,6,5,8,3]=>0000000=>8
[5,2,7,4,6,1,8,3]=>0000000=>8
[7,4,1,2,3,6,8,5]=>0000000=>8
[5,4,8,6,3,2,1,7]=>0000000=>8
[8,4,6,7,3,1,5,2]=>0000000=>8
[4,1,3,6,8,5,2,7]=>0000000=>8
[6,3,5,7,1,2,8,4]=>0000000=>8
[1,8,5,3,2,4,6,7]=>1000000=>1
[1,6,8,3,4,2,5,7]=>1000000=>1
[1,7,6,8,4,2,3,5]=>1000000=>1
[9,8,7,6,5,2,1,3,4]=>00000000=>9
[7,2,8,9,10,1,3,4,5,6]=>000000000=>10
[5,1,7,8,4,2,3,6]=>0000000=>8
[3,8,2,1,6,7,5,4]=>0000000=>8
[2,8,3,1,7,5,6,4]=>0000000=>8
[9,10,6,4,2,1,3,5,8,7]=>000000000=>10
[10,7,8,4,2,1,3,6,5,9]=>000000000=>10
[9,7,10,4,2,1,3,6,8,5]=>000000000=>10
[8,9,10,4,2,1,3,7,6,5]=>000000000=>10
[10,8,5,6,2,1,4,3,7,9]=>000000000=>10
[9,10,5,6,2,1,4,3,8,7]=>000000000=>10
[10,7,5,8,2,1,4,6,3,9]=>000000000=>10
[9,7,5,10,2,1,4,6,8,3]=>000000000=>10
[8,9,5,10,2,1,4,7,6,3]=>000000000=>10
[10,6,7,8,2,1,5,4,3,9]=>000000000=>10
[9,6,7,10,2,1,5,4,8,3]=>000000000=>10
[8,6,9,10,2,1,5,7,4,3]=>000000000=>10
[7,8,9,10,2,1,6,5,4,3]=>000000000=>10
[10,8,6,3,4,2,1,5,7,9]=>000000000=>10
[9,10,6,3,4,2,1,5,8,7]=>000000000=>10
[10,7,8,3,4,2,1,6,5,9]=>000000000=>10
[9,7,10,3,4,2,1,6,8,5]=>000000000=>10
[8,9,10,3,4,2,1,7,6,5]=>000000000=>10
[10,8,5,3,6,2,4,1,7,9]=>000000000=>10
[9,10,5,3,6,2,4,1,8,7]=>000000000=>10
[10,7,5,3,8,2,4,6,1,9]=>000000000=>10
[9,7,5,3,10,2,4,6,8,1]=>000000000=>10
[8,9,5,3,10,2,4,7,6,1]=>000000000=>10
[10,6,7,3,8,2,5,4,1,9]=>000000000=>10
[9,6,7,3,10,2,5,4,8,1]=>000000000=>10
[8,6,9,3,10,2,5,7,4,1]=>000000000=>10
[7,8,9,3,10,2,6,5,4,1]=>000000000=>10
[10,8,4,5,6,3,2,1,7,9]=>000000000=>10
[9,10,4,5,6,3,2,1,8,7]=>000000000=>10
[10,7,4,5,8,3,2,6,1,9]=>000000000=>10
[9,7,4,5,10,3,2,6,8,1]=>000000000=>10
[8,9,4,5,10,3,2,7,6,1]=>000000000=>10
[10,6,4,7,8,3,5,2,1,9]=>000000000=>10
[9,6,4,7,10,3,5,2,8,1]=>000000000=>10
[8,6,4,9,10,3,5,7,2,1]=>000000000=>10
[7,8,4,9,10,3,6,5,2,1]=>000000000=>10
[10,5,6,7,8,4,3,2,1,9]=>000000000=>10
[9,5,6,7,10,4,3,2,8,1]=>000000000=>10
[8,5,6,9,10,4,3,7,2,1]=>000000000=>10
[7,5,8,9,10,4,6,3,2,1]=>000000000=>10
[2,7,4,1,5,8,3,6]=>0000000=>8
[4,7,5,3,8,2,6,1]=>0000000=>8
[2,6,4,7,8,5,3,1]=>0000000=>8
[2,5,1,8,4,6,7,3]=>0000000=>8
[2,1,7,6,3,4,5,8]=>0100001=>2
[6,1,5,3,8,2,4,7]=>0000000=>8
[2,3,6,8,5,1,7,4]=>0000000=>8
[3,2,4,8,6,1,7,5]=>0000000=>8
[2,1,3,8,4,5,7,6]=>0110000=>2
[3,1,2,8,5,4,7,6]=>0010000=>3
[2,1,3,7,8,4,6,5]=>0110000=>2
[2,1,3,8,4,7,6,5]=>0110000=>2
[3,1,2,8,4,5,7,6]=>0010000=>3
[1,2,8,7,5,4,6,3]=>1100000=>1
[2,1,8,7,4,6,5,3]=>0100000=>2
[1,4,6,8,5,7,2,3]=>1000000=>1
[2,8,5,1,6,4,3,7]=>0000000=>8
[5,8,4,3,6,7,2,1]=>0000000=>8
[3,2,6,5,1,8,4,7]=>0000000=>8
[6,5,3,8,1,7,2,4]=>0000000=>8
[8,3,7,1,6,2,4,5]=>0000000=>8
[8,1,4,6,5,7,2,3]=>0000000=>8
[8,1,7,5,6,4,2,3]=>0000000=>8
[8,6,1,5,3,7,2,4]=>0000000=>8
[2,6,3,7,8,1,4,5]=>0000000=>8
[7,2,3,6,8,5,4,1]=>0000000=>8
[5,1,3,2,4,6,8,7]=>0000110=>5
[6,5,3,4,1,8,2,7]=>0000000=>8
[2,8,3,7,6,1,5,4]=>0000000=>8
[5,4,2,6,8,7,3,1]=>0000000=>8
[3,7,2,5,8,6,4,1]=>0000000=>8
[4,6,5,3,8,1,7,2]=>0000000=>8
[2,4,8,7,6,1,5,3]=>0000000=>8
[8,2,6,5,1,4,3,7]=>0000000=>8
[4,8,5,2,7,6,3,1]=>0000000=>8
[2,8,6,5,7,1,3,4]=>0000000=>8
[4,8,5,1,7,6,3,2]=>0000000=>8
[5,8,1,7,6,2,3,4]=>0000000=>8
[1,5,8,2,6,4,3,7]=>1000000=>1
[10,9,8,6,4,2,1,3,5,7]=>000000000=>10
[10,8,7,6,4,2,1,3,5,9]=>000000000=>10
[10,7,9,6,4,2,1,3,8,5]=>000000000=>10
[10,9,8,7,6,4,2,1,3,5]=>000000000=>10
[10,8,6,5,4,2,1,3,7,9]=>000000000=>10
[10,9,8,6,5,4,2,1,3,7]=>000000000=>10
[10,8,5,7,4,2,1,6,3,9]=>000000000=>10
[10,5,9,7,4,2,1,6,8,3]=>000000000=>10
[10,9,8,5,7,4,2,1,6,3]=>000000000=>10
[10,8,7,6,5,4,2,1,3,9]=>000000000=>10
[10,7,9,6,5,4,2,1,8,3]=>000000000=>10
[10,6,9,8,5,7,2,1,4,3]=>000000000=>10
[10,8,6,4,3,2,1,5,7,9]=>000000000=>10
[10,9,8,6,4,3,2,1,5,7]=>000000000=>10
[10,8,7,6,4,3,2,1,5,9]=>000000000=>10
[10,7,9,6,4,3,2,1,8,5]=>000000000=>10
[10,8,6,3,5,2,4,1,7,9]=>000000000=>10
[10,9,8,6,3,5,2,4,1,7]=>000000000=>10
[10,8,3,7,5,2,4,6,1,9]=>000000000=>10
[10,3,9,7,5,2,4,6,8,1]=>000000000=>10
[10,9,8,3,7,5,2,4,6,1]=>000000000=>10
[10,8,7,6,3,5,2,4,1,9]=>000000000=>10
[10,7,9,6,3,5,2,4,8,1]=>000000000=>10
[10,9,3,8,6,5,2,7,4,1]=>000000000=>10
[10,9,8,7,6,3,5,2,4,1]=>000000000=>10
[10,8,6,5,4,3,2,1,7,9]=>000000000=>10
[10,8,5,7,4,3,2,6,1,9]=>000000000=>10
[10,5,9,7,4,3,2,6,8,1]=>000000000=>10
[10,9,8,5,7,4,3,2,6,1]=>000000000=>10
[10,8,4,7,6,3,5,2,1,9]=>000000000=>10
[10,4,9,7,6,3,5,2,8,1]=>000000000=>10
[10,4,9,6,8,3,5,7,2,1]=>000000000=>10
[10,9,8,4,7,6,3,5,2,1]=>000000000=>10
[10,7,9,6,5,4,3,2,8,1]=>000000000=>10
[10,6,9,8,5,4,3,7,2,1]=>000000000=>10
[10,5,9,8,7,4,6,3,2,1]=>000000000=>10
[3,1,8,2,5,4,6,7]=>0000000=>8
[4,2,5,1,8,7,6,3]=>0000000=>8
[5,2,4,8,1,7,6,3]=>0000000=>8
[7,3,2,4,6,8,1,5]=>0000000=>8
[1,4,8,6,7,2,5,3]=>1000000=>1
[1,4,5,7,3,8,2,6]=>1000000=>1
[8,2,5,4,1,3,7,6]=>0000000=>8
[2,4,5,8,6,3,1,7]=>0000000=>8
[2,5,7,8,6,1,4,3]=>0000000=>8
[5,1,7,6,8,2,3,4]=>0000000=>8
[1,7,6,2,4,3,8,5]=>1000000=>1
[5,7,1,6,2,3,4,8]=>0000001=>7
[5,6,8,7,1,3,2,4]=>0000000=>8
[1,5,3,4,8,2,6,7]=>1000000=>1
[2,1,3,6,5,8,4,7]=>0110000=>2
[4,6,1,5,7,2,8,3]=>0000000=>8
[2,5,8,4,6,3,7,1]=>0000000=>8
[8,1,6,5,2,7,4,3]=>0000000=>8
[6,8,1,5,2,7,4,3]=>0000000=>8
[1,7,3,2,4,8,6,5]=>1000000=>1
[4,3,1,8,2,6,7,5]=>0000000=>8
[4,8,1,3,2,5,7,6]=>0000000=>8
[1,7,5,3,8,6,2,4]=>1000000=>1
[2,5,3,8,1,4,7,6]=>0000000=>8
[4,2,5,8,1,3,7,6]=>0000000=>8
[8,1,2,4,3,5,7,6]=>0000000=>8
[2,4,3,8,1,5,7,6]=>0000000=>8
[3,1,7,4,8,6,5,2]=>0000000=>8
[6,4,5,3,2,8,7,1]=>0000000=>8
[2,7,3,8,5,1,6,4]=>0000000=>8
[8,7,3,2,5,6,4,1]=>0000000=>8
[3,1,8,2,6,5,4,7]=>0000000=>8
[7,6,2,8,1,4,5,3]=>0000000=>8
[2,3,8,4,1,5,7,6]=>0000000=>8
[8,4,2,3,1,5,7,6]=>0000000=>8
[8,2,3,4,1,5,7,6]=>0000000=>8
[5,7,2,8,4,1,6,3]=>0000000=>8
[2,5,6,3,8,1,4,7]=>0000000=>8
[1,3,4,5,6,7,2,8,9]=>10000011=>1
[7,4,5,6,8,1,3,2]=>0000000=>8
[7,5,1,8,4,6,3,2]=>0000000=>8
[1,7,8,5,6,4,3,2]=>1000000=>1
[2,8,1,7,4,5,3,6]=>0000000=>8
[7,3,6,2,5,4,8,1]=>0000000=>8
[1,6,2,3,5,8,4,7]=>1000000=>1
[1,8,5,6,4,3,7,2]=>1000000=>1
[2,6,8,4,5,1,7,3]=>0000000=>8
[5,3,2,1,7,8,4,6]=>0000000=>8
[8,4,1,3,6,7,2,5]=>0000000=>8
[1,6,5,3,8,4,7,2]=>1000000=>1
[7,6,2,3,5,1,4,8]=>0000001=>7
[6,2,5,3,4,8,1,7]=>0000000=>8
[6,2,5,3,4,8,7,1]=>0000000=>8
[2,6,5,3,4,8,1,7]=>0000000=>8
[5,3,4,8,1,7,2,6]=>0000000=>8
[5,1,3,4,8,7,2,6]=>0000000=>8
[1,5,3,4,8,7,2,6]=>1000000=>1
[5,1,3,8,4,7,6,2]=>0000000=>8
[5,3,8,1,4,7,6,2]=>0000000=>8
[4,3,5,8,1,7,6,2]=>0000000=>8
[3,6,5,4,8,1,2,7]=>0000000=>8
[3,6,5,4,8,2,7,1]=>0000000=>8
[3,5,2,4,8,7,6,1]=>0000000=>8
[2,3,6,5,8,4,1,7]=>0000000=>8
[2,3,1,7,4,8,6,5]=>0010000=>3
[1,8,3,6,4,2,7,5]=>1000000=>1
[2,1,7,4,8,5,3,6]=>0100000=>2
[6,8,7,4,1,5,2,3]=>0000000=>8
[8,6,4,7,5,1,3,2]=>0000000=>8
[2,4,6,5,7,1,8,3]=>0000000=>8
[3,2,8,9,10,1,4,5,6,7]=>000000000=>10
[3,5,2,1,7,8,6,4]=>0000000=>8
[4,2,7,8,6,5,1,3]=>0000000=>8
[1,2,7,8,6,4,5,3]=>1100000=>1
[4,8,1,2,6,5,3,7]=>0000000=>8
[7,1,6,3,2,4,8,5]=>0000000=>8
[6,4,8,1,2,3,7,5]=>0000000=>8
[7,4,1,3,6,8,5,2]=>0000000=>8
[7,1,8,3,2,6,5,4]=>0000000=>8
[7,2,5,1,6,4,3,8]=>0000001=>7
[5,2,7,1,4,6,3,8]=>0000001=>7
[2,4,3,8,5,7,1,6]=>0000000=>8
[3,7,1,6,5,8,2,4]=>0000000=>8
[7,4,3,6,8,2,1,5]=>0000000=>8
[3,8,5,4,7,6,1,2]=>0000000=>8
[1,4,6,8,7,3,5,2]=>1000000=>1
[4,6,5,1,3,8,7,2]=>0000000=>8
[5,4,6,2,1,8,7,3]=>0000000=>8
[5,3,8,1,4,2,6,7]=>0000000=>8
[5,3,8,1,4,2,7,6]=>0000000=>8
[7,3,5,6,4,1,8,2]=>0000000=>8
[2,5,6,7,8,9,1,3,4]=>00000000=>9
[2,1,6,7,8,9,3,4,5]=>01000000=>2
[2,5,6,7,8,9,10,1,3,4]=>000000000=>10
[4,6,7,2,3,8,5,1]=>0000000=>8
[2,3,5,8,7,4,1,6]=>0000000=>8
[2,3,5,8,7,4,6,1]=>0000000=>8
[2,3,5,8,1,6,4,7]=>0000000=>8
[1,7,4,5,8,3,6,2]=>1000000=>1
[8,6,1,5,4,2,7,3]=>0000000=>8
[2,8,5,6,3,1,4,7]=>0000000=>8
[2,3,7,8,1,5,4,6]=>0000000=>8
[5,2,6,7,8,3,1,4]=>0000000=>8
[5,6,2,7,8,3,1,4]=>0000000=>8
[2,3,7,5,8,4,6,1]=>0000000=>8
[3,7,8,5,1,4,6,2]=>0000000=>8
[2,3,7,8,5,4,6,1]=>0000000=>8
[6,4,7,8,1,2,5,3]=>0000000=>8
[7,5,8,1,2,3,6,4]=>0000000=>8
[1,2,8,7,4,6,5,3]=>1100000=>1
[5,1,4,8,7,3,6,2]=>0000000=>8
[4,3,1,8,7,5,6,2]=>0000000=>8
[4,3,2,7,6,1,5,8]=>0000001=>7
[7,2,6,5,3,1,4,8]=>0000001=>7
[1,3,7,6,2,4,8,5]=>1000000=>1
[1,3,8,2,7,4,6,5]=>1000000=>1
[8,2,7,1,6,4,3,5]=>0000000=>8
[4,3,2,8,1,7,5,6]=>0000000=>8
[7,5,4,1,6,3,8,2]=>0000000=>8
[1,6,5,3,2,4,8,7]=>1000010=>1
[1,7,3,5,2,4,8,6]=>1000000=>1
[4,3,7,2,5,1,6,8]=>0000001=>7
[5,1,4,3,2,6,8,7]=>0000110=>5
[7,2,1,3,5,4,6,8]=>0000001=>7
[8,3,7,5,4,2,6,1]=>0000000=>8
[1,6,8,7,5,2,3,4]=>1000000=>1
[1,3,6,2,5,4,8,7]=>1000010=>1
[1,2,7,3,8,4,9,5,10,6]=>110000000=>1
[5,4,1,8,7,3,6,2]=>0000000=>8
[6,2,4,7,5,3,1,8]=>0000001=>7
[3,2,6,1,5,8,7,4]=>0000000=>8
[1,6,3,8,4,7,2,5]=>1000000=>1
[8,1,5,2,4,7,3,6]=>0000000=>8
[7,5,8,1,4,2,3,6]=>0000000=>8
[4,1,2,3,6,5,8,7,9]=>00010101=>4
[4,1,6,2,3,5,8,7,9]=>00000101=>6
[1,3,4,8,5,6,2,7]=>1000000=>1
[3,2,7,1,8,6,5,4]=>0000000=>8
[6,7,2,3,8,1,4,5]=>0000000=>8
[5,2,8,1,7,4,6,3]=>0000000=>8
[2,5,4,7,3,1,8,6]=>0000000=>8
[4,6,3,1,2,5,7,8]=>0000011=>6
[7,4,6,8,3,1,2,5]=>0000000=>8
[8,5,4,7,3,1,2,6]=>0000000=>8
[7,3,2,1,5,4,8,6]=>0000000=>8
[2,5,6,4,8,1,3,7]=>0000000=>8
[5,4,1,6,2,3,7,8]=>0000011=>6
[5,4,1,2,7,6,3,8]=>0000001=>7
[8,4,3,7,2,5,6,1]=>0000000=>8
[6,8,2,4,5,1,7,3]=>0000000=>8
[8,3,7,6,2,4,5,1]=>0000000=>8
[8,1,2,7,6,4,5,3]=>0000000=>8
[2,3,1,9,8,7,6,5,4]=>00100000=>3
[2,8,1,5,3,7,6,4]=>0000000=>8
[2,3,8,4,7,1,6,5]=>0000000=>8
[1,8,2,3,5,6,4,7]=>1000000=>1
[1,4,7,6,2,3,5,8]=>1000001=>1
[1,7,6,2,3,8,4,5]=>1000000=>1
[1,8,2,3,7,6,4,5]=>1000000=>1
[1,7,3,8,6,2,5,4]=>1000000=>1
[1,3,5,6,4,8,2,7]=>1000000=>1
[4,6,1,8,2,7,5,3]=>0000000=>8
[3,4,8,5,6,1,2,7]=>0000000=>8
[1,7,6,2,5,4,8,3]=>1000000=>1
[3,7,2,1,5,6,8,4]=>0000000=>8
[3,1,5,6,4,2,7,8]=>0000011=>6
[8,1,6,4,3,5,2,7]=>0000000=>8
[2,1,6,5,3,8,7,4]=>0100000=>2
[3,7,5,6,4,2,1,8]=>0000001=>7
[4,6,8,5,3,7,2,1]=>0000000=>8
[4,6,8,5,1,3,7,2]=>0000000=>8
[8,3,5,4,6,1,2,7]=>0000000=>8
[3,4,5,6,1,7,2,9,8]=>00000010=>7
[1,7,4,5,2,6,8,3]=>1000000=>1
[1,4,5,9,6,7,2,8,3]=>10000000=>1
[3,4,5,6,7,1,8,2,10,9]=>000000010=>8
[2,4,5,9,6,1,7,3,8]=>00000000=>9
[3,4,5,7,6,1,9,2,8]=>00000000=>9
[1,4,2,6,5,3,8,7]=>1000010=>1
[3,1,5,8,4,6,2,7]=>0000000=>8
[3,5,6,9,7,1,8,2,4]=>00000000=>9
[1,4,8,5,6,2,7,9,3]=>10000000=>1
[1,4,5,6,10,7,8,2,9,3]=>100000000=>1
[3,4,5,6,7,8,1,9,2,11,10]=>0000000010=>9
[2,4,5,6,10,7,1,8,3,9]=>000000000=>10
[3,4,5,6,8,7,1,10,2,9]=>000000000=>10
[2,5,9,6,7,3,1,4,8]=>00000000=>9
[4,1,5,2,7,6,3,9,8]=>00000010=>7
[3,4,1,6,9,5,7,2,8]=>00000000=>9
[8,2,6,3,4,1,5,7]=>0000000=>8
[4,6,5,8,2,1,3,7]=>0000000=>8
[1,4,8,3,5,6,2,7]=>1000000=>1
[1,8,7,4,2,3,6,5]=>1000000=>1
[6,7,9,8,1,3,4,2,5]=>00000000=>9
[9,1,5,2,8,6,3,7,4]=>00000000=>9
[3,5,6,7,10,8,1,9,2,4]=>000000000=>10
[1,7,4,5,2,6,8,9,3]=>10000000=>1
[1,4,5,9,6,7,2,8,10,3]=>100000000=>1
[1,4,5,6,7,11,8,9,2,10,3]=>1000000000=>1
[4,3,1,8,5,7,2,6]=>0000000=>8
[7,3,2,4,8,1,6,5]=>0000000=>8
[3,7,2,4,5,8,1,6]=>0000000=>8
[3,2,7,4,6,1,8,5]=>0000000=>8
[8,3,2,4,6,1,7,5]=>0000000=>8
[8,3,2,4,5,7,1,6]=>0000000=>8
[7,4,6,2,1,3,8,5]=>0000000=>8
[3,6,7,2,4,1,8,5]=>0000000=>8
[8,4,7,2,3,5,6,1]=>0000000=>8
[3,8,6,7,1,5,4,2]=>0000000=>8
[4,3,2,8,6,1,5,7]=>0000000=>8
[4,1,6,3,2,5,7,8]=>0000011=>6
[5,7,1,8,4,3,6,2]=>0000000=>8
[5,4,8,7,6,2,3,1]=>0000000=>8
[8,4,6,3,1,5,2,7]=>0000000=>8
[3,6,1,5,2,4,7,8]=>0000011=>6
[3,7,6,2,5,4,1,8]=>0000001=>7
[2,7,1,5,3,4,6,8]=>0000001=>7
[8,4,5,1,2,7,6,3]=>0000000=>8
[5,2,3,8,7,1,6,4]=>0000000=>8
[7,5,2,4,1,3,8,6]=>0000000=>8
[7,2,6,8,5,1,3,4]=>0000000=>8
[8,6,5,4,1,3,7,2]=>0000000=>8
[8,2,3,4,1,6,7,5]=>0000000=>8
[7,4,3,8,1,6,5,2]=>0000000=>8
[6,5,1,4,3,8,7,2]=>0000000=>8
[4,7,6,2,5,8,1,3]=>0000000=>8
[6,3,2,4,5,8,1,7]=>0000000=>8
[7,3,5,2,8,1,4,6]=>0000000=>8
[1,5,8,7,4,2,3,6]=>1000000=>1
[1,7,2,4,5,8,6,3]=>1000000=>1
[1,4,6,8,7,2,5,3]=>1000000=>1
[1,6,2,7,5,3,4,8]=>1000001=>1
[1,3,7,2,6,4,5,8]=>1000001=>1
[1,7,3,2,8,5,6,4]=>1000000=>1
[1,6,5,2,4,8,3,7]=>1000000=>1
[1,7,3,8,4,2,5,6]=>1000000=>1
[1,6,2,4,7,5,8,3]=>1000000=>1
[1,6,2,7,4,3,8,5]=>1000000=>1
[1,5,8,2,3,6,4,7]=>1000000=>1
[6,8,9,1,2,3,4,5,7]=>00000000=>9
[5,8,9,1,2,3,4,6,7]=>00000000=>9
[1,2,7,3,8,5,6,4]=>1100000=>1
[1,5,7,4,3,8,6,2]=>1000000=>1
[2,7,3,1,4,5,8,6]=>0000000=>8
[2,3,4,5,1,7,6,9,8]=>00001010=>5
[2,3,4,1,6,5,8,7,9]=>00010101=>4
[2,3,4,5,6,7,1,9,8,10]=>000000101=>7
[2,3,4,5,1,8,6,9,7]=>00001000=>5
[2,3,4,1,7,5,8,6,9]=>00010001=>4
[2,3,4,5,1,7,6,9,8,10]=>000010101=>5
[6,5,8,3,2,7,1,4]=>0000000=>8
[8,4,3,1,7,6,5,2]=>0000000=>8
[1,2,6,7,5,3,4,8]=>1100001=>1
[3,4,5,6,7,9,1,8,2]=>00000000=>9
[3,4,5,6,8,2,7,1]=>0000000=>8
[3,4,5,6,7,8,10,1,9,2]=>000000000=>10
[3,4,5,6,7,9,2,8,1]=>00000000=>9
[3,4,5,6,7,1,9,8,2]=>00000000=>9
[7,2,1,4,5,6,3,8]=>0000001=>7
[1,6,7,8,2,4,5,3]=>1000000=>1
[5,3,4,2,1,9,8,7,6]=>00001000=>5
[6,5,3,4,2,1,9,8,7]=>00000100=>6
[7,6,4,5,3,2,1,9,8]=>00000010=>7
[1,3,5,8,7,2,6,4]=>1000000=>1
[6,4,1,8,5,7,3,2]=>0000000=>8
[7,2,5,6,1,3,8,4]=>0000000=>8
[6,4,1,2,5,8,3,7]=>0000000=>8
[2,3,5,4,7,1,8,6]=>0000000=>8
[6,8,4,1,5,7,3,2]=>0000000=>8
[8,1,6,2,3,7,5,4]=>0000000=>8
[2,8,3,6,4,1,7,5]=>0000000=>8
[4,2,3,5,6,7,8,9,10,1]=>000000000=>10
[1,7,8,4,3,6,5,2]=>1000000=>1
[1,7,8,3,6,5,4,2]=>1000000=>1
[1,6,5,7,3,8,2,4]=>1000000=>1
[1,8,5,3,7,6,2,4]=>1000000=>1
[6,5,1,3,8,4,2,7]=>0000000=>8
[6,1,4,2,7,8,3,5]=>0000000=>8
[6,5,1,3,7,8,4,2]=>0000000=>8
[5,6,8,2,4,7,1,3]=>0000000=>8
[5,1,3,2,6,8,4,7]=>0000000=>8
[1,4,3,7,6,2,8,5]=>1000000=>1
[1,6,2,5,7,3,8,4]=>1000000=>1
[1,4,3,8,2,5,7,6]=>1000000=>1
[1,5,7,3,6,4,2,8]=>1000001=>1
[1,6,7,2,4,8,3,5]=>1000000=>1
[3,7,2,8,4,1,5,6]=>0000000=>8
[2,4,1,5,3,6,8,7,9]=>00001101=>5
[2,4,1,7,3,8,5,6,9]=>00000001=>8
[5,3,4,1,7,8,6,2]=>0000000=>8
[7,2,6,3,1,8,4,5]=>0000000=>8
[5,8,4,1,3,7,2,6]=>0000000=>8
[8,1,3,5,6,4,7,2]=>0000000=>8
[3,4,7,1,5,6,2,8]=>0000001=>7
[8,1,7,4,2,5,3,6]=>0000000=>8
[5,2,6,4,1,3,8,7]=>0000010=>6
[8,6,4,7,1,3,5,2]=>0000000=>8
[2,1,8,5,4,3,7,6]=>0100000=>2
[9,10,6,7,4,5,2,3,1,8]=>000000000=>10
[8,5,4,6,2,7,1,3]=>0000000=>8
[6,8,5,4,7,2,3,1]=>0000000=>8
[2,5,7,3,4,8,1,6]=>0000000=>8
[5,2,4,7,8,1,3,6]=>0000000=>8
[8,5,9,3,6,1,2,4,7]=>00000000=>9
[9,7,1,5,8,3,6,2,4]=>00000000=>9
[9,7,5,4,1,3,8,2,6]=>00000000=>9
[8,9,4,5,10,1,2,3,6,7]=>000000000=>10
[8,4,3,9,10,1,2,5,6,7]=>000000000=>10
[9,6,10,1,3,7,8,2,4,5]=>000000000=>10
[9,10,6,7,4,5,1,2,3,8]=>000000000=>10
[9,6,4,10,3,7,1,2,5,8]=>000000000=>10
[10,1,8,9,6,7,4,5,2,3]=>000000000=>10
[10,8,6,1,4,9,3,7,2,5]=>000000000=>10
[10,8,6,5,4,1,3,9,2,7]=>000000000=>10
[10,8,7,6,5,4,3,1,2,9]=>000000000=>10
[4,6,8,1,5,2,7,3]=>0000000=>8
[8,2,3,6,4,1,7,5]=>0000000=>8
[2,3,7,5,8,6,1,4]=>0000000=>8
[3,8,5,1,2,4,7,6]=>0000000=>8
[1,3,6,4,8,2,7,5]=>1000000=>1
[1,2,3,4,6,5,7,8,9,10]=>111101111=>1
[1,2,3,4,5,6,8,7,9,10]=>111111011=>1
[1,7,6,2,8,5,3,4]=>1000000=>1
[1,5,8,6,4,7,2,3]=>1000000=>1
[5,6,2,8,1,7,3,4]=>0000000=>8
[1,6,8,3,2,4,5,7]=>1000000=>1
[9,6,5,4,3,2,1,7,8]=>00000000=>9
[9,8,5,4,3,2,1,6,7]=>00000000=>9
[1,6,5,7,4,2,8,3]=>1000000=>1
[1,2,7,4,8,5,6,3]=>1100000=>1
[5,6,3,4,2,8,7,1]=>0000000=>8
[2,5,7,4,6,8,1,3]=>0000000=>8
[2,5,6,4,1,3,8,7]=>0000010=>6
[4,6,1,3,5,7,2,8]=>0000001=>7
[3,2,7,5,8,1,6,4]=>0000000=>8
[4,3,6,8,5,2,1,7]=>0000000=>8
[4,5,3,2,1,8,6,7]=>0000100=>5
[3,6,5,8,1,7,4,2]=>0000000=>8
[4,1,6,8,5,2,3,7]=>0000000=>8
[4,5,2,8,6,7,1,3]=>0000000=>8
[4,5,2,8,6,7,3,1]=>0000000=>8
[3,5,8,6,2,4,7,1]=>0000000=>8
[2,5,1,6,4,8,3,7]=>0000000=>8
[3,2,4,5,8,6,1,7]=>0000000=>8
[4,5,2,1,3,8,6,7]=>0000100=>5
[4,2,3,6,8,5,1,7]=>0000000=>8
[4,5,1,3,2,8,6,7]=>0000100=>5
[3,4,5,8,6,1,7,2]=>0000000=>8
[3,4,5,8,6,1,2,7]=>0000000=>8
[6,4,1,3,7,8,2,5]=>0000000=>8
[8,2,6,4,1,3,7,5]=>0000000=>8
[1,5,8,2,4,3,7,6]=>1000000=>1
[1,4,8,5,7,2,3,6]=>1000000=>1
[1,8,7,3,2,4,5,6]=>1000000=>1
[8,6,2,7,3,4,1,5]=>0000000=>8
[8,6,2,7,3,4,5,1]=>0000000=>8
[5,6,3,2,8,7,1,4]=>0000000=>8
[5,1,6,7,8,3,2,4]=>0000000=>8
[1,5,6,3,7,2,4,8]=>1000001=>1
[1,5,6,7,4,2,3,8]=>1000001=>1
[5,1,6,7,3,4,2,8]=>0000001=>7
[8,6,1,7,3,4,5,2]=>0000000=>8
[6,8,5,1,7,4,2,3]=>0000000=>8
[8,4,2,3,5,7,6,1]=>0000000=>8
[4,8,5,2,3,1,6,7]=>0000000=>8
[5,4,8,3,1,2,6,7]=>0000000=>8
[8,4,7,3,2,5,6,1]=>0000000=>8
[6,8,5,1,7,3,4,2]=>0000000=>8
[6,2,7,3,8,1,4,5]=>0000000=>8
[8,4,2,6,7,1,5,3]=>0000000=>8
[1,7,8,3,6,5,2,4]=>1000000=>1
[4,6,7,5,1,8,2,3]=>0000000=>8
[3,5,2,6,8,7,4,1]=>0000000=>8
[7,3,6,8,4,1,2,5]=>0000000=>8
[6,4,2,3,7,5,8,1]=>0000000=>8
[6,3,7,5,1,2,8,4]=>0000000=>8
[7,2,5,4,8,6,3,1]=>0000000=>8
[6,2,3,8,7,4,5,1]=>0000000=>8
[7,1,2,8,4,6,5,3]=>0000000=>8
[3,5,8,1,2,7,6,4]=>0000000=>8
[1,4,3,6,8,5,2,7]=>1000000=>1
[7,6,2,8,5,3,4,1]=>0000000=>8
[6,8,3,5,4,7,2,1]=>0000000=>8
[8,2,7,6,4,1,3,5]=>0000000=>8
[8,3,7,5,1,6,2,4]=>0000000=>8
[8,5,7,1,4,2,6,3]=>0000000=>8
[4,7,1,5,6,3,2,8]=>0000001=>7
[4,5,7,1,6,3,8,2]=>0000000=>8
[4,6,5,7,2,3,8,1]=>0000000=>8
[3,6,7,2,5,8,4,1]=>0000000=>8
[5,3,6,7,4,8,1,2]=>0000000=>8
[4,2,7,8,3,6,5,1]=>0000000=>8
[4,2,7,8,5,6,1,3]=>0000000=>8
[5,4,3,7,8,1,6,2]=>0000000=>8
[3,5,7,8,4,2,1,6]=>0000000=>8
[4,6,7,3,2,8,1,5]=>0000000=>8
[4,6,5,3,7,8,1,2]=>0000000=>8
[5,6,2,4,7,8,3,1]=>0000000=>8
[5,6,3,2,8,4,7,1]=>0000000=>8
[5,6,2,8,3,4,7,1]=>0000000=>8
[3,7,4,8,1,6,5,2]=>0000000=>8
[5,2,4,8,6,7,3,1]=>0000000=>8
[5,2,6,4,8,7,3,1]=>0000000=>8
[2,4,7,8,6,5,1,3]=>0000000=>8
[3,4,5,6,8,9,1,7,2]=>00000000=>9
[3,4,6,7,8,9,1,5,2]=>00000000=>9
[3,5,6,7,8,9,1,4,2]=>00000000=>9
[4,5,6,7,8,9,1,3,2]=>00000000=>9
[3,4,5,6,7,9,10,1,8,2]=>000000000=>10
[3,4,5,7,8,9,10,1,6,2]=>000000000=>10
[5,2,6,7,8,1,4,3]=>0000000=>8
[3,4,6,7,8,9,10,1,5,2]=>000000000=>10
[4,5,6,7,8,9,10,1,3,2]=>000000000=>10
[4,8,2,7,5,3,1,6]=>0000000=>8
[3,5,8,1,7,4,2,6]=>0000000=>8
[5,8,6,1,7,2,3,4]=>0000000=>8
[5,1,4,3,8,2,6,7]=>0000000=>8
[8,4,7,5,6,2,1,3]=>0000000=>8
[3,8,6,7,5,2,4,1]=>0000000=>8
[8,2,5,4,7,3,6,1]=>0000000=>8
[4,2,8,7,3,6,5,1]=>0000000=>8
[3,7,8,6,1,4,5,2]=>0000000=>8
[4,6,7,8,2,1,5,3]=>0000000=>8
[4,7,6,3,8,1,5,2]=>0000000=>8
[3,8,1,4,6,2,5,7]=>0000000=>8
[2,4,5,3,8,7,1,6]=>0000000=>8
[6,8,4,7,3,5,2,1]=>0000000=>8
[3,6,4,2,8,1,7,5]=>0000000=>8
[3,4,8,6,2,1,7,5]=>0000000=>8
[3,1,8,2,4,6,5,7]=>0000000=>8
[8,1,7,6,2,5,4,3]=>0000000=>8
[8,5,4,3,7,6,1,2]=>0000000=>8
[4,8,1,3,6,7,5,2]=>0000000=>8
[3,5,8,6,1,7,4,2]=>0000000=>8
[8,1,4,7,5,2,6,3]=>0000000=>8
[1,4,8,6,7,3,5,2]=>1000000=>1
[4,1,6,7,8,5,3,2]=>0000000=>8
[3,7,8,6,4,1,5,2]=>0000000=>8
[5,4,2,3,6,7,8,9,1]=>00000000=>9
[6,5,4,2,3,7,8,9,1]=>00000000=>9
[7,6,5,4,2,3,8,9,1]=>00000000=>9
[4,6,1,5,7,2,3,8]=>0000001=>7
[3,4,7,8,6,1,2,5]=>0000000=>8
[1,8,5,6,4,2,3,7]=>1000000=>1
[1,8,7,6,2,4,5,3]=>1000000=>1
[1,6,4,7,2,5,8,3]=>1000000=>1
[8,3,1,4,6,2,7,5]=>0000000=>8
[7,2,6,4,5,8,1,3]=>0000000=>8
[4,6,7,8,9,1,2,3,5]=>00000000=>9
[5,7,8,9,1,2,3,4,6]=>00000000=>9
[2,7,1,5,3,8,6,4]=>0000000=>8
[3,5,7,2,8,4,1,6]=>0000000=>8
[7,3,2,1,4,8,6,5]=>0000000=>8
[8,7,2,6,1,5,3,4]=>0000000=>8
[7,1,3,8,2,6,4,5]=>0000000=>8
[2,7,3,4,1,5,8,6]=>0000000=>8
[2,5,8,1,6,7,3,4]=>0000000=>8
[8,3,6,2,7,5,4,1]=>0000000=>8
[8,4,2,6,5,3,7,1]=>0000000=>8
[5,4,2,7,1,8,6,3]=>0000000=>8
[4,1,7,6,5,3,2,8]=>0000001=>7
[2,3,6,7,1,8,5,4]=>0000000=>8
[3,6,1,2,7,8,5,4]=>0000000=>8
[4,5,1,8,7,6,3,2]=>0000000=>8
[8,4,5,2,7,6,3,1]=>0000000=>8
[4,1,3,6,7,5,2,8]=>0000001=>7
[3,1,4,5,7,6,2,8]=>0000001=>7
[4,5,1,3,6,8,7,2]=>0000000=>8
[3,8,5,1,2,4,6,7]=>0000000=>8
[8,5,1,2,4,3,6,7]=>0000000=>8
[5,8,4,1,2,3,6,7]=>0000000=>8
[3,5,8,1,4,2,7,6]=>0000000=>8
[2,8,5,7,1,4,3,6]=>0000000=>8
[4,8,7,5,1,2,3,6]=>0000000=>8
[8,1,2,4,6,3,7,5]=>0000000=>8
[7,6,1,4,2,3,8,5]=>0000000=>8
[6,1,2,7,8,4,3,5]=>0000000=>8
[7,8,1,2,5,3,4,6]=>0000000=>8
[1,8,4,7,5,2,3,6]=>1000000=>1
[8,4,7,2,1,6,3,5]=>0000000=>8
[4,5,8,2,1,6,7,3]=>0000000=>8
[7,4,2,5,3,6,1,8]=>0000001=>7
[3,1,6,7,5,2,4,8]=>0000001=>7
[8,4,2,5,3,6,7,1]=>0000000=>8
[4,8,1,5,3,6,7,2]=>0000000=>8
[4,1,7,5,2,6,3,8]=>0000001=>7
[5,1,8,6,7,3,4,2]=>0000000=>8
[6,5,2,4,1,7,8,3]=>0000000=>8
[5,4,8,2,1,3,6,7]=>0000000=>8
[1,4,8,3,2,6,5,7]=>1000000=>1
[1,3,8,4,2,7,5,6]=>1000000=>1
[7,2,8,3,1,4,5,6]=>0000000=>8
[9,8,7,5,6,4,3,2,10,1]=>000000000=>10
[8,7,5,4,6,3,2,9,1]=>00000000=>9
[8,7,4,6,5,3,2,9,1]=>00000000=>9
[7,6,1,8,2,5,4,3]=>0000000=>8
[5,8,4,2,1,6,3,7]=>0000000=>8
[7,6,4,1,2,5,3,8]=>0000001=>7
[7,2,8,4,3,6,1,5]=>0000000=>8
[1,7,5,4,8,6,2,3]=>1000000=>1
[4,8,6,3,5,2,1,7]=>0000000=>8
[5,8,6,3,2,7,1,4]=>0000000=>8
[5,7,6,3,2,4,8,1]=>0000000=>8
[1,2,4,5,6,8,10,9,3,7]=>110000000=>1
[1,2,3,5,7,8,10,6,9,4]=>111000000=>1
[1,2,4,5,7,8,10,3,9,6]=>110000000=>1
[1,2,4,6,7,5,10,8,3,9]=>110000000=>1
[1,3,4,2,7,8,10,5,9,6]=>100100000=>1
[1,3,4,6,7,2,10,8,5,9]=>100000000=>1
[1,2,3,5,6,9,8,10,7,4]=>111000000=>1
[1,2,4,5,6,9,8,10,3,7]=>110000000=>1
[1,2,3,5,7,9,6,10,8,4]=>111000000=>1
[1,2,4,5,7,9,3,10,8,6]=>110000000=>1
[1,2,4,6,5,9,7,10,3,8]=>110000000=>1
[1,3,4,2,7,9,5,10,8,6]=>100100000=>1
[1,3,4,6,2,9,7,10,5,8]=>100000000=>1
[1,2,3,5,8,7,9,6,10,4]=>111000000=>1
[1,2,4,5,8,7,9,3,10,6]=>110000000=>1
[1,2,4,6,8,5,9,3,10,7]=>110000000=>1
[1,2,4,7,6,8,5,9,3,10]=>110000001=>1
[1,3,4,2,8,7,9,5,10,6]=>100100000=>1
[1,3,4,6,8,2,9,5,10,7]=>100000000=>1
[1,3,4,7,6,8,2,9,5,10]=>100000001=>1
[1,2,3,6,5,9,7,10,8,4]=>111000000=>1
[1,2,4,6,3,9,7,10,8,5]=>110000000=>1
[1,2,5,4,6,9,7,10,3,8]=>110000000=>1
[1,3,2,6,4,9,7,10,8,5]=>101000000=>1
[1,3,5,2,6,9,7,10,4,8]=>100000000=>1
[1,2,3,6,8,5,9,7,10,4]=>111000000=>1
[1,2,4,6,8,3,9,7,10,5]=>110000000=>1
[1,2,5,4,8,6,9,3,10,7]=>110000000=>1
[1,2,5,7,4,8,6,9,3,10]=>110000001=>1
[1,3,2,6,8,4,9,7,10,5]=>101000000=>1
[1,3,5,2,8,6,9,4,10,7]=>100000000=>1
[1,3,5,7,2,8,6,9,4,10]=>100000001=>1
[1,4,3,5,8,2,9,6,10,7]=>100000000=>1
[1,4,3,7,5,8,2,9,6,10]=>100000001=>1
[2,1,3,6,4,9,7,10,8,5]=>011000000=>2
[2,1,5,3,6,9,7,10,4,8]=>010000000=>2
[2,1,3,6,8,4,9,7,10,5]=>011000000=>2
[2,1,5,3,8,6,9,4,10,7]=>010000000=>2
[2,1,5,7,3,8,6,9,4,10]=>010000001=>2
[2,4,1,5,8,3,9,6,10,7]=>000000000=>10
[2,4,1,7,5,8,3,9,6,10]=>000000001=>9
[1,6,3,7,2,4,8,5]=>1000000=>1
[8,9,7,6,5,4,3,1,2]=>00000000=>9
[8,6,7,5,4,3,2,1,9]=>00000001=>8
[8,7,9,6,5,4,3,1,2]=>00000000=>9
[9,7,8,6,5,4,3,1,2]=>00000000=>9
[4,3,1,6,7,2,5,8]=>0000001=>7
[6,3,1,5,7,2,4,8]=>0000001=>7
[8,7,5,4,3,6,9,2,1]=>00000000=>9
[8,7,6,9,5,3,4,2,1]=>00000000=>9
[8,7,9,6,5,4,2,3,1]=>00000000=>9
[5,2,1,4,8,6,7,3]=>0000000=>8
[4,5,2,1,3,7,6,8]=>0000101=>5
[7,1,6,5,4,2,8,3]=>0000000=>8
[2,7,6,4,5,1,8,3]=>0000000=>8
[2,8,3,1,6,7,4,5]=>0000000=>8
[4,5,6,8,2,1,7,3]=>0000000=>8
[4,5,6,8,1,3,7,2]=>0000000=>8
[4,5,8,3,2,1,7,6]=>0000000=>8
[4,5,1,3,2,6,7,8]=>0000111=>5
[4,7,3,2,1,6,5,8]=>0000001=>7
[4,7,8,3,5,1,6,2]=>0000000=>8
[4,7,1,3,5,6,2,8]=>0000001=>7
[4,8,3,2,1,6,7,5]=>0000000=>8
[5,2,8,1,4,6,7,3]=>0000000=>8
[5,6,3,7,8,1,4,2]=>0000000=>8
[5,7,1,4,3,6,2,8]=>0000001=>7
[6,2,3,7,1,5,4,8]=>0000001=>7
[6,2,8,1,5,4,7,3]=>0000000=>8
[6,1,3,4,5,2,7,8]=>0000011=>6
[7,1,3,4,5,6,2,8]=>0000001=>7
[7,2,5,1,3,6,4,8]=>0000001=>7
[7,5,3,6,4,2,1,8]=>0000001=>7
[2,3,6,5,8,4,7,1]=>0000000=>8
[3,2,1,5,6,7,8,9,4]=>00100000=>3
[3,2,6,1,4,7,8,9,5]=>00000000=>9
[4,3,2,1,6,7,8,9,5]=>00010000=>4
[3,2,7,8,1,4,5,9,6]=>00000000=>9
[4,7,2,5,1,3,8,9,6]=>00000000=>9
[4,3,2,7,1,5,8,9,6]=>00000000=>9
[5,4,3,2,1,7,8,9,6]=>00001000=>5
[4,3,2,8,9,1,5,6,7]=>00000000=>9
[8,5,6,3,4,1,2,9,7]=>00000000=>9
[5,3,8,2,6,1,4,9,7]=>00000000=>9
[5,4,3,2,8,1,6,9,7]=>00000000=>9
[6,5,4,3,2,1,8,9,7]=>00000100=>6
[6,9,4,7,2,5,1,3,8]=>00000000=>9
[6,4,3,9,2,7,1,5,8]=>00000000=>9
[6,5,4,3,2,9,1,7,8]=>00000000=>9
[5,6,1,2,3,7,8,9,10,4]=>000000000=>10
[2,5,1,3,6,7,8,9,10,4]=>000000000=>10
[3,2,1,5,6,7,8,9,10,4]=>001000000=>3
[6,7,8,1,2,3,4,9,10,5]=>000000000=>10
[2,6,7,1,3,4,8,9,10,5]=>000000000=>10
[6,3,4,1,2,7,8,9,10,5]=>000000000=>10
[3,2,6,1,4,7,8,9,10,5]=>000000000=>10
[4,3,2,1,6,7,8,9,10,5]=>000100000=>4
[2,7,8,9,1,3,4,5,10,6]=>000000000=>10
[7,3,4,8,1,2,5,9,10,6]=>000000000=>10
[3,2,7,8,1,4,5,9,10,6]=>000000000=>10
[4,7,2,5,1,3,8,9,10,6]=>000000000=>10
[4,3,2,7,1,5,8,9,10,6]=>000000000=>10
[5,4,3,2,1,7,8,9,10,6]=>000010000=>5
[8,3,4,9,10,1,2,5,6,7]=>000000000=>10
[8,9,4,5,6,1,2,3,10,7]=>000000000=>10
[4,3,2,8,9,1,5,6,10,7]=>000000000=>10
[8,5,6,3,4,1,2,9,10,7]=>000000000=>10
[5,3,8,2,6,1,4,9,10,7]=>000000000=>10
[5,4,3,2,8,1,6,9,10,7]=>000000000=>10
[6,5,4,3,2,1,8,9,10,7]=>000001000=>6
[5,9,10,2,6,7,1,3,4,8]=>000000000=>10
[9,5,6,3,4,10,1,2,7,8]=>000000000=>10
[5,3,9,2,6,10,1,4,7,8]=>000000000=>10
[5,4,3,2,9,10,1,6,7,8]=>000000000=>10
[6,9,4,7,2,5,1,3,10,8]=>000000000=>10
[6,4,3,9,2,7,1,5,10,8]=>000000000=>10
[6,5,4,3,2,9,1,7,10,8]=>000000000=>10
[7,6,5,4,3,2,1,9,10,8]=>000000100=>7
[10,7,8,5,6,3,4,1,2,9]=>000000000=>10
[7,5,10,3,8,2,6,1,4,9]=>000000000=>10
[7,5,4,3,10,2,8,1,6,9]=>000000000=>10
[7,6,5,4,3,2,10,1,8,9]=>000000000=>10
[5,3,4,7,2,1,6,8]=>0000001=>7
[4,8,5,7,1,2,3,6]=>0000000=>8
[4,2,6,3,1,5,7,8]=>0000011=>6
[5,8,4,3,2,6,1,7]=>0000000=>8
[1,5,7,4,8,6,2,3]=>1000000=>1
[6,1,5,7,3,8,2,4]=>0000000=>8
[1,2,7,8,6,4,3,5]=>1100000=>1
[3,5,1,7,8,6,2,4]=>0000000=>8
[5,2,4,1,7,6,8,3]=>0000000=>8
[2,1,4,3,6,5,7,9,10,8]=>010101100=>2
[2,1,4,3,5,7,8,6,10,9]=>010110010=>2
[2,1,4,3,5,7,6,9,10,8]=>010110100=>2
[2,1,4,3,5,6,8,9,10,7]=>010111000=>2
[2,1,3,5,6,4,8,7,10,9]=>011001010=>2
[2,1,3,5,6,4,7,9,10,8]=>011001100=>2
[2,1,3,5,4,7,8,6,10,9]=>011010010=>2
[2,1,3,5,4,7,6,9,10,8]=>011010100=>2
[2,1,3,5,4,6,8,9,10,7]=>011011000=>2
[2,1,3,4,6,7,8,5,10,9]=>011100010=>2
[2,1,3,4,6,7,5,9,10,8]=>011100100=>2
[2,1,3,4,6,5,8,9,10,7]=>011101000=>2
[2,1,3,4,5,7,8,9,10,6]=>011110000=>2
[1,3,4,2,6,5,7,9,10,8]=>100101100=>1
[1,3,4,2,5,7,8,6,10,9]=>100110010=>1
[1,3,4,2,5,7,6,9,10,8]=>100110100=>1
[1,3,4,2,5,6,8,9,10,7]=>100111000=>1
[1,3,2,5,6,4,8,7,10,9]=>101001010=>1
[1,3,2,5,6,4,7,9,10,8]=>101001100=>1
[1,3,2,5,4,7,8,6,10,9]=>101010010=>1
[1,3,2,5,4,7,6,9,10,8]=>101010100=>1
[1,3,2,5,4,6,8,9,10,7]=>101011000=>1
[1,3,2,4,6,7,8,5,10,9]=>101100010=>1
[1,3,2,4,6,7,5,9,10,8]=>101100100=>1
[1,3,2,4,6,5,8,9,10,7]=>101101000=>1
[1,3,2,4,5,7,8,9,10,6]=>101110000=>1
[1,2,4,5,6,3,8,7,10,9]=>110001010=>1
[1,2,4,5,6,3,7,9,10,8]=>110001100=>1
[1,2,4,5,3,7,8,6,10,9]=>110010010=>1
[1,2,4,5,3,7,6,9,10,8]=>110010100=>1
[1,2,4,5,3,6,8,9,10,7]=>110011000=>1
[1,2,4,3,6,7,8,5,10,9]=>110100010=>1
[1,2,4,3,6,7,5,9,10,8]=>110100100=>1
[1,2,4,3,6,5,8,9,10,7]=>110101000=>1
[1,2,4,3,5,7,8,9,10,6]=>110110000=>1
[1,2,3,5,6,7,8,4,10,9]=>111000010=>1
[1,2,3,5,6,7,4,9,10,8]=>111000100=>1
[1,2,3,5,6,4,8,9,10,7]=>111001000=>1
[1,2,3,5,4,7,8,9,10,6]=>111010000=>1
[1,3,4,2,6,5,8,7,10,9,12,11]=>10010101010=>1
[1,3,2,5,6,4,8,7,10,9,12,11]=>10100101010=>1
[1,3,2,5,4,7,8,6,10,9,12,11]=>10101001010=>1
[1,3,2,5,4,7,6,9,10,8,12,11]=>10101010010=>1
[1,9,4,5,6,7,8,3,2]=>10000000=>1
[5,4,3,8,1,7,2,6]=>0000000=>8
[7,2,3,1,6,8,4,5]=>0000000=>8
[5,7,8,1,6,2,3,4]=>0000000=>8
[1,4,2,5,8,6,3,7]=>1000000=>1
[4,8,2,1,5,7,3,6]=>0000000=>8
[5,2,7,1,6,3,4,8]=>0000001=>7
[4,8,2,5,1,6,3,7]=>0000000=>8
[5,8,1,2,4,6,3,7]=>0000000=>8
[5,1,7,3,6,4,2,8]=>0000001=>7
[3,2,7,5,6,1,4,8]=>0000001=>7
[3,2,7,1,6,4,5,8]=>0000001=>7
[6,3,1,7,5,4,2,8]=>0000001=>7
[5,6,2,8,3,1,7,4]=>0000000=>8
[1,4,7,5,6,2,8,3]=>1000000=>1
[1,7,4,8,3,5,6,2]=>1000000=>1
[7,4,5,1,8,6,2,3]=>0000000=>8
[8,1,5,7,6,3,2,4]=>0000000=>8
[7,4,8,3,1,6,5,2]=>0000000=>8
[8,1,5,3,7,6,2,4]=>0000000=>8
[6,4,8,7,3,5,1,2]=>0000000=>8
[6,1,4,2,3,5,7,8]=>0000011=>6
[6,5,1,8,3,7,4,2]=>0000000=>8
[7,1,4,3,8,6,5,2]=>0000000=>8
[8,5,4,1,7,3,2,6]=>0000000=>8
[4,5,3,8,1,7,6,2]=>0000000=>8
[4,7,6,3,2,8,5,1]=>0000000=>8
[5,7,6,3,8,2,4,1]=>0000000=>8
[6,8,4,7,1,2,5,3]=>0000000=>8
[1,3,7,6,8,4,5,2]=>1000000=>1
[6,1,5,7,2,8,3,4]=>0000000=>8
[1,8,7,2,5,6,3,4]=>1000000=>1
[1,8,2,6,7,4,3,5]=>1000000=>1
[2,5,4,8,7,6,1,3]=>0000000=>8
[1,8,7,6,3,5,4,2]=>1000000=>1
[1,8,5,7,6,4,3,2]=>1000000=>1
[1,6,2,7,3,8,4,9,5]=>10000000=>1
[1,8,5,2,9,6,3,10,7,4]=>100000000=>1
[7,2,4,1,8,5,3,6]=>0000000=>8
[7,3,2,1,4,6,8,5]=>0000000=>8
[7,5,3,2,1,6,8,4]=>0000000=>8
[1,4,7,2,5,3,6,8]=>1000001=>1
[4,5,3,1,2,6,8,7]=>0000110=>5
[4,5,1,3,8,2,6,7]=>0000000=>8
[4,1,5,3,2,7,6,8]=>0000101=>5
[7,3,5,1,4,2,6,8]=>0000001=>7
[6,2,1,7,4,3,8,5]=>0000000=>8
[2,4,3,6,7,1,5,8]=>0000001=>7
[7,3,5,2,1,6,4,8]=>0000001=>7
[4,6,5,2,1,3,7,8]=>0000011=>6
[2,5,6,1,4,3,7,8]=>0000011=>6
[6,1,5,3,7,2,4,8]=>0000001=>7
[3,6,5,4,1,7,2,8]=>0000001=>7
[10,9,3,8,7,6,5,4,2,1]=>000000000=>10
[8,7,6,4,5,3,2,1,10,9]=>000000010=>8
[6,8,7,5,4,2,1,3]=>0000000=>8
[1,6,8,7,3,2,4,5]=>1000000=>1
[8,7,5,4,6,1,3,2]=>0000000=>8
[1,7,8,2,4,6,3,5]=>1000000=>1
[7,5,4,8,1,3,6,2]=>0000000=>8
[1,8,2,6,7,5,4,3]=>1000000=>1
[8,5,4,2,7,3,6,1]=>0000000=>8
[3,8,6,1,2,4,5,7]=>0000000=>8
[1,8,5,3,2,7,4,6]=>1000000=>1
[1,8,4,7,2,3,5,6]=>1000000=>1
[3,2,8,1,7,5,4,6]=>0000000=>8
[7,1,5,6,2,3,4,8]=>0000001=>7
[6,5,1,7,2,3,4,8]=>0000001=>7
[1,6,8,2,7,3,4,5]=>1000000=>1
[4,1,3,6,7,8,5,2]=>0000000=>8
[4,1,2,6,7,8,5,3]=>0000000=>8
[3,4,5,8,9,1,2,6,7]=>00000000=>9
[3,4,7,8,9,1,2,5,6]=>00000000=>9
[3,6,7,8,9,1,2,4,5]=>00000000=>9
[3,4,5,6,1,7,2,8,9]=>00000011=>7
[3,4,5,1,6,2,7,8,9]=>00000111=>6
[3,4,5,6,7,10,1,2,8,9]=>000000000=>10
[3,4,1,5,9,2,6,7,8]=>00000000=>9
[3,4,5,6,9,10,1,2,7,8]=>000000000=>10
[3,4,5,8,9,10,1,2,6,7]=>000000000=>10
[1,3,7,8,9,2,4,5,6]=>10000000=>1
[3,4,7,8,9,10,1,2,5,6]=>000000000=>10
[2,6,7,8,9,1,3,4,5]=>00000000=>9
[3,6,7,8,9,10,1,2,4,5]=>000000000=>10
[3,7,8,2,1,4,5,6]=>0000000=>8
[5,1,4,7,8,3,6,2]=>0000000=>8
[4,8,1,5,6,2,3,7]=>0000000=>8
[5,6,4,1,7,3,8,2]=>0000000=>8
[4,6,1,7,3,2,8,5]=>0000000=>8
[1,7,3,6,4,2,8,5]=>1000000=>1
[4,7,3,5,1,2,8,6]=>0000000=>8
[1,6,4,2,3,5,8,7]=>1000010=>1
[4,8,3,5,2,1,6,7]=>0000000=>8
[1,6,8,4,7,5,3,2]=>1000000=>1
[5,2,3,8,7,1,4,6]=>0000000=>8
[11,10,9,8,6,7,5,4,3,2,1]=>0000000000=>11
[8,7,1,3,2,6,4,5]=>0000000=>8
[7,5,1,2,3,8,4,6]=>0000000=>8
[4,2,3,6,8,5,7,1]=>0000000=>8
[4,7,3,2,6,5,1,8]=>0000001=>7
[4,3,7,8,2,1,6,5]=>0000000=>8
[4,8,7,2,1,5,6,3]=>0000000=>8
[7,3,8,2,5,1,6,4]=>0000000=>8
[4,5,3,8,6,1,2,7]=>0000000=>8
[6,3,5,8,4,1,2,7]=>0000000=>8
[7,3,8,4,5,1,2,6]=>0000000=>8
[4,8,7,5,1,2,6,3]=>0000000=>8
[7,8,4,6,1,3,5,2]=>0000000=>8
[4,8,7,5,1,3,6,2]=>0000000=>8
[4,5,3,6,8,1,2,7]=>0000000=>8
[7,8,6,2,1,4,3,5]=>0000000=>8
[7,8,6,3,1,2,5,4]=>0000000=>8
[5,2,8,4,7,1,3,6]=>0000000=>8
[7,3,1,2,8,6,5,4]=>0000000=>8
[8,7,1,3,2,4,5,6]=>0000000=>8
[4,3,1,2,6,5,7,8]=>0001011=>4
[6,1,5,2,8,7,4,3]=>0000000=>8
[4,6,3,5,7,1,2,8]=>0000001=>7
[1,4,7,2,6,5,8,3]=>1000000=>1
[1,5,7,2,6,4,8,3]=>1000000=>1
[1,2,7,8,3,5,4,6]=>1100000=>1
[1,7,6,2,8,5,4,3]=>1000000=>1
[1,2,7,8,3,4,6,5]=>1100000=>1
[3,4,1,7,8,6,5,2]=>0000000=>8
[2,4,8,6,5,7,1,3]=>0000000=>8
[5,1,3,4,8,2,7,6]=>0000000=>8
[8,7,3,6,1,4,2,5]=>0000000=>8
[6,5,1,8,3,4,7,2]=>0000000=>8
[8,2,1,5,6,4,7,3]=>0000000=>8
[7,5,6,1,3,4,8,2]=>0000000=>8
[5,7,2,4,6,1,8,3]=>0000000=>8
[2,1,5,6,3,8,7,4]=>0100000=>2
[3,2,7,5,8,6,4,1]=>0000000=>8
[2,4,5,3,8,1,7,6]=>0000000=>8
[7,2,5,4,3,8,6,1]=>0000000=>8
[8,5,3,1,2,6,7,4]=>0000000=>8
[7,2,5,1,3,6,8,4]=>0000000=>8
[1,8,7,3,5,2,6,4]=>1000000=>1
[4,6,7,8,5,2,1,3]=>0000000=>8
[4,7,2,1,8,6,5,3]=>0000000=>8
[5,6,2,8,4,1,7,3]=>0000000=>8
[5,7,2,4,8,6,1,3]=>0000000=>8
[6,7,2,4,8,5,1,3]=>0000000=>8
[6,7,3,2,8,5,1,4]=>0000000=>8
[7,2,3,1,8,6,5,4]=>0000000=>8
[7,2,8,3,5,6,1,4]=>0000000=>8
[7,2,3,8,4,6,1,5]=>0000000=>8
[1,7,3,4,8,5,2,6]=>1000000=>1
[1,7,3,8,5,4,2,6]=>1000000=>1
[7,2,8,4,5,3,1,6]=>0000000=>8
[2,8,6,4,3,1,7,5]=>0000000=>8
[1,7,3,4,8,2,5,6]=>1000000=>1
[1,5,8,3,4,6,2,7]=>1000000=>1
[1,3,8,4,2,5,7,6]=>1000000=>1
[1,4,7,6,2,3,8,5]=>1000000=>1
[1,8,4,6,7,2,3,5]=>1000000=>1
[1,4,2,3,7,8,6,5]=>1001000=>1
[5,7,1,6,4,8,3,2]=>0000000=>8
[1,2,9,7,5,3,10,8,6,4]=>110000000=>1
[7,4,5,8,1,3,6,2]=>0000000=>8
[1,4,3,6,2,5,8,7]=>1000010=>1
[1,3,6,5,8,2,4,7]=>1000000=>1
[1,4,6,3,2,8,5,7]=>1000000=>1
[6,8,4,1,5,7,2,3]=>0000000=>8
[5,2,6,7,4,1,8,3]=>0000000=>8
[8,5,6,4,1,7,3,2]=>0000000=>8
[7,8,3,1,6,4,5,2]=>0000000=>8
[5,8,2,6,3,1,7,4]=>0000000=>8
[4,5,8,1,6,3,7,2]=>0000000=>8
[8,1,4,6,2,5,7,3]=>0000000=>8
[4,5,8,1,6,2,7,3]=>0000000=>8
[5,2,6,8,1,4,3,7]=>0000000=>8
[6,7,3,8,2,1,4,5]=>0000000=>8
[2,7,3,5,4,1,8,6]=>0000000=>8
[2,6,3,7,4,1,8,5]=>0000000=>8
[4,8,7,2,5,3,1,6]=>0000000=>8
[1,6,3,2,8,7,4,5]=>1000000=>1
[8,7,3,1,2,5,6,4]=>0000000=>8
[7,4,5,1,2,6,8,3]=>0000000=>8
[1,3,5,7,2,8,4,9,6]=>10000000=>1
[1,3,5,6,2,7,4,9,8]=>10000010=>1
[1,3,4,5,2,7,6,9,8]=>10001010=>1
[3,5,7,1,2,4,6,9,8]=>00000010=>7
[1,3,5,7,2,9,4,6,8,10]=>100000001=>1
[3,5,7,8,1,9,2,4,6]=>00000000=>9
[1,3,5,7,2,9,4,10,6,8]=>100000000=>1
[3,5,6,7,1,8,2,9,4]=>00000000=>9
[1,3,5,7,2,8,4,9,6,10]=>100000001=>1
[1,3,5,6,2,7,4,9,8,10]=>100000101=>1
[1,3,4,5,2,7,6,9,8,10]=>100010101=>1
[5,4,3,6,1,7,8,2]=>0000000=>8
[3,2,7,8,5,6,1,4]=>0000000=>8
[4,8,3,2,1,7,5,6]=>0000000=>8
[1,9,8,7,6,4,3,2,5]=>10000000=>1
[1,9,8,7,5,4,3,2,6]=>10000000=>1
[1,9,8,6,5,4,3,2,7]=>10000000=>1
[1,9,7,6,5,4,3,2,8]=>10000000=>1
[1,9,8,7,6,5,2,3,4]=>10000000=>1
[1,10,9,8,7,6,5,3,2,4]=>100000000=>1
[1,9,8,7,6,3,4,2,5]=>10000000=>1
[1,10,9,8,7,6,4,3,2,5]=>100000000=>1
[1,9,8,7,4,5,3,2,6]=>10000000=>1
[1,10,9,8,7,5,4,3,2,6]=>100000000=>1
[1,9,8,5,6,4,3,2,7]=>10000000=>1
[1,10,9,8,6,5,4,3,2,7]=>100000000=>1
[1,8,4,5,6,3,2,7]=>1000000=>1
[1,9,6,7,5,4,3,2,8]=>10000000=>1
[1,10,9,7,6,5,4,3,2,8]=>100000000=>1
[1,7,8,6,5,4,3,2,9]=>10000001=>1
[1,10,8,7,6,5,4,3,2,9]=>100000000=>1
[8,5,1,7,4,6,3,2]=>0000000=>8
[1,3,7,8,4,6,2,5]=>1000000=>1
[5,8,4,3,7,1,2,6]=>0000000=>8
[5,6,4,8,7,2,1,3]=>0000000=>8
[2,8,4,7,1,3,6,5]=>0000000=>8
[8,9,2,3,4,5,6,1,7]=>00000000=>9
[7,8,9,2,3,4,5,1,6]=>00000000=>9
[6,7,8,9,2,3,4,1,5]=>00000000=>9
[5,6,7,8,9,2,3,1,4]=>00000000=>9
[9,10,2,3,4,5,6,7,1,8]=>000000000=>10
[8,9,10,2,3,4,5,6,1,7]=>000000000=>10
[7,8,9,2,3,4,1,5,6]=>00000000=>9
[7,8,9,10,2,3,4,5,1,6]=>000000000=>10
[6,7,8,9,2,3,1,4,5]=>00000000=>9
[5,6,7,8,9,10,2,3,1,4]=>000000000=>10
[4,5,6,7,8,1,9,2,3]=>00000000=>9
[4,5,6,7,8,9,10,2,1,3]=>000000000=>10
[6,8,3,4,5,2,1,7]=>0000000=>8
[3,7,1,4,5,6,2,8]=>0000001=>7
[7,9,3,4,5,6,2,1,8]=>00000000=>9
[3,9,2,1,5,6,7,8,4]=>00000000=>9
[3,6,1,4,5,2,7,8]=>0000011=>6
[3,8,1,4,5,6,7,2,9]=>00000001=>8
[8,10,3,4,5,6,7,2,1,9]=>000000000=>10
[6,9,3,4,5,2,7,1,8]=>00000000=>9
[3,8,2,4,5,1,7,6]=>0000000=>8
[3,9,2,4,1,6,7,8,5]=>00000000=>9
[3,7,2,1,5,6,4,8]=>0000001=>7
[3,6,8,1,5,4,7,2]=>0000000=>8
[3,8,9,1,5,6,7,4,2]=>00000000=>9
[3,10,2,1,5,6,7,8,9,4]=>000000000=>10
[3,7,1,4,5,6,2,8,9]=>00000011=>7
[3,9,1,4,5,6,7,8,2,10]=>000000001=>9
[1,7,4,6,3,5,2,8]=>1000001=>1
[1,3,6,5,7,2,4,8]=>1000001=>1
[1,7,2,5,6,4,3,8]=>1000001=>1
[1,6,8,5,4,3,7,2]=>1000000=>1
[2,5,7,8,4,3,1,6]=>0000000=>8
[6,8,5,3,2,4,1,7]=>0000000=>8
[1,6,8,5,3,2,7,4]=>1000000=>1
[4,6,1,8,7,5,3,2]=>0000000=>8
[1,3,7,6,8,5,2,4]=>1000000=>1
[4,1,7,8,6,5,2,3]=>0000000=>8
[5,4,3,7,6,1,2,8]=>0000001=>7
[4,7,6,1,2,3,8,5]=>0000000=>8
[4,5,2,6,7,8,1,3]=>0000000=>8
[2,8,7,6,5,4,3,1,9]=>00000001=>8
[2,1,4,9,8,7,6,5,3]=>01000000=>2
[1,7,6,2,3,8,5,4]=>1000000=>1
[4,5,1,3,7,6,2,8]=>0000001=>7
[7,2,3,8,6,4,5,1]=>0000000=>8
[1,5,4,3,8,6,2,7]=>1000000=>1
[1,3,7,5,8,4,6,2]=>1000000=>1
[5,8,1,2,7,6,4,3]=>0000000=>8
[1,4,2,6,7,5,3,8]=>1000001=>1
[1,8,2,4,6,5,3,7]=>1000000=>1
[7,2,1,6,4,3,8,5]=>0000000=>8
[1,4,8,7,2,3,6,5]=>1000000=>1
[4,1,3,6,5,8,2,7]=>0000000=>8
[4,3,7,1,5,8,2,6]=>0000000=>8
[1,8,6,5,2,7,4,3]=>1000000=>1
[1,8,6,2,7,4,3,5]=>1000000=>1
[3,5,4,1,7,8,6,2]=>0000000=>8
[6,8,7,2,1,5,4,3]=>0000000=>8
[8,1,6,3,7,5,4,2]=>0000000=>8
[8,5,1,3,7,6,4,2]=>0000000=>8
[8,3,6,5,4,2,1,7]=>0000000=>8
[6,1,3,5,7,2,8,4]=>0000000=>8
[2,8,1,5,6,4,3,7]=>0000000=>8
[1,6,7,5,8,4,2,3]=>1000000=>1
[7,4,2,8,6,5,3,1]=>0000000=>8
[6,8,4,7,3,2,5,1]=>0000000=>8
[5,8,7,3,2,1,6,4]=>0000000=>8
[5,8,7,2,6,4,3,1]=>0000000=>8
[6,8,7,3,5,1,4,2]=>0000000=>8
[4,8,5,2,6,7,3,1]=>0000000=>8
[7,8,1,9,2,3,4,5,6]=>00000000=>9
[6,7,8,1,9,2,3,4,5]=>00000000=>9
[5,6,7,8,1,9,2,3,4]=>00000000=>9
[9,1,2,3,4,5,7,6,8]=>00000000=>9
[2,1,3,4,5,9,6,7,8]=>01111000=>2
[1,5,7,2,4,3,8,6]=>1000000=>1
[1,2,7,5,8,4,3,6]=>1100000=>1
[5,1,3,8,2,7,4,6]=>0000000=>8
[5,7,1,3,2,8,4,6]=>0000000=>8
[7,1,6,3,2,8,4,5]=>0000000=>8
[8,1,7,2,3,6,5,4]=>0000000=>8
[7,1,2,6,4,3,8,5]=>0000000=>8
[1,4,7,8,3,2,5,6]=>1000000=>1
[8,7,1,3,2,4,6,5]=>0000000=>8
[8,1,6,3,2,4,7,5]=>0000000=>8
[1,8,2,7,6,3,5,4]=>1000000=>1
[8,1,6,3,2,7,4,5]=>0000000=>8
[8,2,1,7,6,3,4,5]=>0000000=>8
[8,7,2,4,3,1,5,6]=>0000000=>8
[4,7,6,1,3,2,8,5]=>0000000=>8
[7,2,6,5,4,3,1,9,8]=>00000010=>7
[3,2,1,9,5,8,7,6,4]=>00100000=>3
[6,3,5,4,2,1,9,8,7]=>00000100=>6
[4,3,2,1,9,7,8,6,5]=>00010000=>4
[2,8,1,3,5,6,4,7]=>0000000=>8
[2,6,3,4,7,8,5,1]=>0000000=>8
[7,6,3,1,8,5,2,4]=>0000000=>8
[7,2,1,3,6,8,5,4]=>0000000=>8
[7,6,3,8,1,5,2,4]=>0000000=>8
[1,6,4,7,8,5,3,2]=>1000000=>1
[7,2,5,8,6,1,3,4]=>0000000=>8
[4,1,3,6,2,5,8,7]=>0000010=>6
[7,1,4,6,3,2,5,8]=>0000001=>7
[6,7,2,3,8,4,1,5]=>0000000=>8
[2,7,8,1,5,4,3,6]=>0000000=>8
[1,5,2,6,8,7,4,3]=>1000000=>1
[1,2,3,4,5,6,8,9,7,10]=>111111001=>1
[1,8,3,7,5,2,6,4]=>1000000=>1
[8,1,3,6,5,2,7,4]=>0000000=>8
[7,1,3,8,5,2,6,4]=>0000000=>8
[4,7,1,5,2,6,8,3]=>0000000=>8
[7,4,1,5,2,6,8,3]=>0000000=>8
[3,1,6,7,5,2,8,4]=>0000000=>8
[8,6,2,4,5,1,7,3]=>0000000=>8
[8,6,7,5,2,1,4,3]=>0000000=>8
[7,1,4,5,2,6,8,3]=>0000000=>8
[4,1,7,6,5,2,8,3]=>0000000=>8
[8,4,1,5,6,2,7,3]=>0000000=>8
[2,8,4,7,3,5,6,1]=>0000000=>8
[1,5,4,8,3,2,6,7]=>1000000=>1
[1,5,7,6,3,8,2,4]=>1000000=>1
[2,6,3,1,7,8,4,5]=>0000000=>8
[2,1,7,8,3,5,4,6]=>0100000=>2
[1,5,8,6,7,4,2,3]=>1000000=>1
[5,3,7,4,6,1,8,2]=>0000000=>8
[3,6,7,1,5,4,8,2]=>0000000=>8
[6,4,7,1,5,2,8,3]=>0000000=>8
[1,6,5,2,8,7,4,3]=>1000000=>1
[1,3,4,5,2,6,7,8,9]=>10001111=>1
[1,2,3,4,5,7,8,6,9,10]=>111110011=>1
[1,2,3,4,5,7,8,9,6,10]=>111110001=>1
[2,3,4,5,1,6,7,9,8]=>00001110=>5
[2,1,4,5,3,6,7,8,9]=>01001111=>2
[1,3,2,5,4,6,7,8,9]=>10101111=>1
[4,1,7,2,5,8,3,6]=>0000000=>8
[3,2,5,8,6,1,7,4]=>0000000=>8
[4,7,1,8,5,3,6,2]=>0000000=>8
[6,4,7,2,5,3,1,8]=>0000001=>7
[4,1,6,2,8,3,5,7,9]=>00000001=>8
[4,1,6,2,8,3,9,5,7]=>00000000=>9
[4,1,6,2,7,3,8,5,9]=>00000001=>8
[4,8,7,3,5,1,6,2]=>0000000=>8
[5,3,8,7,1,6,2,4]=>0000000=>8
[5,2,6,7,4,3,1,8]=>0000001=>7
[8,5,1,6,4,3,2,7]=>0000000=>8
[8,6,3,5,2,7,1,4]=>0000000=>8
[8,4,6,2,1,5,7,3]=>0000000=>8
[8,5,2,1,6,4,7,3]=>0000000=>8
[1,7,2,8,5,4,6,3]=>1000000=>1
[6,7,1,4,8,5,3,2]=>0000000=>8
[7,3,2,8,5,1,4,6]=>0000000=>8
[4,1,7,3,2,8,5,6]=>0000000=>8
[8,3,5,2,4,7,1,6]=>0000000=>8
[4,3,7,8,6,1,5,2]=>0000000=>8
[1,2,6,3,7,8,5,4]=>1100000=>1
[6,1,3,7,8,5,4,2]=>0000000=>8
[2,6,4,7,5,3,1,8]=>0000001=>7
[5,6,1,8,7,2,3,4]=>0000000=>8
[3,9,2,4,5,6,7,8,1]=>00000000=>9
[3,8,6,1,5,2,4,7]=>0000000=>8
[3,2,8,1,5,6,4,7]=>0000000=>8
[5,8,7,3,2,1,4,6]=>0000000=>8
[3,4,7,6,8,2,1,5]=>0000000=>8
[2,8,1,3,7,5,6,4]=>0000000=>8
[1,8,7,2,5,6,4,3]=>1000000=>1
[3,4,7,1,5,8,2,6]=>0000000=>8
[1,3,5,2,4,6,7,8,9]=>10001111=>1
[4,1,2,3,5,6,8,7,9]=>00011101=>4
[1,2,4,7,3,5,6,8,9]=>11000011=>1
[5,1,2,3,4,7,6,8,9]=>00001011=>5
[1,4,7,5,2,3,6,8]=>1000001=>1
[1,5,3,6,8,4,7,2]=>1000000=>1
[8,5,1,4,6,7,3,2]=>0000000=>8
[3,4,7,5,6,8,2,1]=>0000000=>8
[3,4,7,8,5,2,6,1]=>0000000=>8
[4,8,1,7,5,6,3,2]=>0000000=>8
[1,8,7,5,2,6,3,4]=>1000000=>1
[1,7,6,3,4,5,8,2]=>1000000=>1
[1,8,7,4,5,6,2,3]=>1000000=>1
[1,8,7,3,6,4,2,5]=>1000000=>1
[1,4,7,5,8,2,6,3]=>1000000=>1
[1,4,7,2,3,6,5,8]=>1000001=>1
[1,7,2,5,6,3,4,8]=>1000001=>1
[1,2,6,5,8,3,4,7]=>1100000=>1
[1,5,8,2,6,3,4,7]=>1000000=>1
[6,8,3,2,7,5,1,4]=>0000000=>8
[7,3,6,8,1,2,5,4]=>0000000=>8
[4,1,5,7,2,6,3,8]=>0000001=>7
[5,7,2,1,3,6,4,8]=>0000001=>7
[3,5,6,7,2,4,1,8]=>0000001=>7
[6,4,7,5,2,3,1,8]=>0000001=>7
[1,5,6,4,8,3,2,7]=>1000000=>1
[2,1,5,6,4,8,3,7]=>0100000=>2
[5,1,4,7,8,6,2,3]=>0000000=>8
[1,6,7,2,8,5,4,3]=>1000000=>1
[5,3,2,1,7,8,6,4]=>0000000=>8
[7,4,3,8,6,1,5,2]=>0000000=>8
[4,3,7,1,5,8,6,2]=>0000000=>8
[8,2,4,5,3,1,7,6]=>0000000=>8
[1,4,3,2,7,5,8,6]=>1001000=>1
[1,5,2,8,6,3,10,9,7,4]=>100000000=>1
[4,1,5,2,8,6,3,10,9,7]=>000000000=>10
[1,7,5,2,8,6,3,10,9,4]=>100000000=>1
[4,1,7,5,2,8,3,10,9,6]=>000000000=>10
[6,4,1,7,5,2,8,3,10,9]=>000000010=>8
[3,4,1,7,2,8,5,10,9,6]=>000000000=>10
[3,6,4,1,7,2,8,5,10,9]=>000000010=>8
[1,5,2,9,8,6,3,10,7,4]=>100000000=>1
[4,1,5,2,9,8,6,3,10,7]=>000000000=>10
[1,7,5,2,9,6,3,10,8,4]=>100000000=>1
[4,1,7,5,2,9,3,10,8,6]=>000000000=>10
[4,1,9,6,5,2,7,3,10,8]=>000000000=>10
[3,4,1,7,2,9,5,10,8,6]=>000000000=>10
[3,6,1,9,4,2,7,5,10,8]=>000000000=>10
[1,8,7,5,2,9,6,3,10,4]=>100000000=>1
[4,1,8,7,5,2,9,3,10,6]=>000000000=>10
[6,4,1,8,5,2,9,3,10,7]=>000000000=>10
[7,6,4,1,8,5,2,9,3,10]=>000000001=>9
[3,4,1,8,7,2,9,5,10,6]=>000000000=>10
[3,6,4,1,8,2,9,5,10,7]=>000000000=>10
[3,7,6,4,1,8,2,9,5,10]=>000000001=>9
[1,9,6,5,2,7,3,10,8,4]=>100000000=>1
[6,1,9,4,2,7,3,10,8,5]=>000000000=>10
[5,4,1,9,6,2,7,3,10,8]=>000000000=>10
[9,3,1,6,2,7,4,10,8,5]=>000000000=>10
[9,5,3,1,6,2,7,4,10,8]=>000000000=>10
[6,1,8,5,2,9,7,3,10,4]=>000000000=>10
[6,4,1,8,2,9,7,3,10,5]=>000000000=>10
[8,5,4,1,6,2,9,3,10,7]=>000000000=>10
[5,7,4,1,8,6,2,9,3,10]=>000000001=>9
[3,6,1,8,2,9,7,4,10,5]=>000000000=>10
[5,8,3,1,6,2,9,4,10,7]=>000000000=>10
[5,3,7,1,8,6,2,9,4,10]=>000000001=>9
[4,3,8,1,9,5,2,6,10,7]=>000000000=>10
[7,4,3,5,1,8,2,9,6,10]=>000000001=>9
[9,6,2,1,3,7,4,10,8,5]=>000000000=>10
[5,9,2,1,6,3,7,4,10,8]=>000000000=>10
[6,8,2,1,3,9,7,4,10,5]=>000000000=>10
[8,2,5,1,6,3,9,4,10,7]=>000000000=>10
[2,5,7,1,8,6,3,9,4,10]=>000000001=>9
[2,4,8,1,9,5,3,6,10,7]=>000000000=>10
[5,6,4,3,2,1,7,8,9]=>00000111=>6
[5,6,4,3,2,1,7,8,9,10]=>000001111=>6
[4,5,3,2,1,6,7,8,9]=>00001111=>5
[6,7,5,4,3,2,1,8,9,10,11]=>0000001111=>7
[6,7,5,4,3,2,1,8,9,10]=>000000111=>7
[6,7,4,3,2,1,5,8,9]=>00000011=>7
[5,6,4,3,2,7,1,8,9]=>00000011=>7
[7,5,4,3,1,2,6,8,9]=>00000011=>7
[6,5,4,3,7,1,2,8,9]=>00000011=>7
[7,6,5,4,3,1,2,8,9,10,11]=>0000001111=>7
[6,3,1,8,2,7,5,4]=>0000000=>8
[4,1,7,8,3,2,5,6]=>0000000=>8
[5,8,2,1,3,6,4,7]=>0000000=>8
[7,6,4,3,5,2,1,9,8]=>00000010=>7
[7,6,3,5,4,2,1,9,8]=>00000010=>7
[5,7,6,3,4,1,8,2]=>0000000=>8
[7,8,9,10,1,5,6,3,4,2]=>000000000=>10
[9,8,6,1,2,3,4,5,7]=>00000000=>9
[9,8,7,5,1,2,3,4,6]=>00000000=>9
[9,8,7,6,4,1,2,3,5]=>00000000=>9
[9,8,7,6,5,3,1,2,4]=>00000000=>9
[7,1,2,6,4,3,5,8]=>0000001=>7
[7,1,2,6,5,3,4,8]=>0000001=>7
[4,7,8,6,2,3,5,1]=>0000000=>8
[7,1,2,4,8,6,5,3]=>0000000=>8
[9,8,4,7,6,5,3,2,1]=>00000000=>9
[9,8,3,7,6,5,4,2,1]=>00000000=>9
[9,3,8,7,6,5,4,2,1]=>00000000=>9
[9,2,8,7,6,5,4,3,1]=>00000000=>9
[10,9,8,5,7,6,4,3,2,1]=>000000000=>10
[9,8,4,6,5,7,3,2,1]=>00000000=>9
[10,9,8,4,7,6,5,3,2,1]=>000000000=>10
[9,8,3,6,5,4,7,2,1]=>00000000=>9
[10,9,4,8,7,6,5,3,2,1]=>000000000=>10
[9,3,7,6,5,4,8,2,1]=>00000000=>9
[9,2,7,6,5,4,3,8,1]=>00000000=>9
[10,3,9,8,7,6,5,4,2,1]=>000000000=>10
[10,2,9,8,7,6,5,4,3,1]=>000000000=>10
[7,4,3,1,6,5,2,8]=>0000001=>7
[3,5,1,2,6,8,7,4]=>0000000=>8
[3,1,2,4,8,7,5,6]=>0011000=>3
[2,7,4,6,3,8,1,5]=>0000000=>8
[8,2,4,1,3,7,5,6]=>0000000=>8
[4,2,6,7,5,1,8,3]=>0000000=>8
[4,7,2,5,3,8,1,6]=>0000000=>8
[3,5,7,4,2,8,1,6]=>0000000=>8
[2,4,7,6,3,8,1,5]=>0000000=>8
[4,6,8,5,1,2,3,7]=>0000000=>8
[4,6,5,7,1,2,3,8]=>0000001=>7
[4,6,5,7,1,3,8,2]=>0000000=>8
[3,4,7,6,1,8,2,5]=>0000000=>8
[8,5,2,1,6,3,4,7]=>0000000=>8
[7,1,8,5,3,2,4,6]=>0000000=>8
[9,10,2,1,6,4,3,5,7,8]=>000000000=>10
[7,10,2,1,8,4,3,5,6,9]=>000000000=>10
[2,9,1,10,7,4,3,5,6,8]=>000000000=>10
[2,8,1,9,4,3,10,5,6,7]=>000000000=>10
[10,8,5,2,1,6,3,4,7,9]=>000000000=>10
[9,5,2,1,10,6,3,4,7,8]=>000000000=>10
[10,7,2,1,8,5,3,4,6,9]=>000000000=>10
[9,2,1,10,7,5,3,4,6,8]=>000000000=>10
[2,8,1,9,3,10,5,4,6,7]=>000000000=>10
[10,6,2,1,7,3,8,4,5,9]=>000000000=>10
[9,2,1,10,6,3,7,4,5,8]=>000000000=>10
[8,2,1,9,3,10,6,4,5,7]=>000000000=>10
[7,2,1,8,3,9,4,10,5,6]=>000000000=>10
[10,8,6,3,1,4,2,5,7,9]=>000000000=>10
[3,9,1,10,6,4,2,5,7,8]=>000000000=>10
[10,7,3,1,8,4,2,5,6,9]=>000000000=>10
[9,3,1,10,7,4,2,5,6,8]=>000000000=>10
[8,3,1,9,4,2,10,5,6,7]=>000000000=>10
[10,8,5,1,6,3,2,4,7,9]=>000000000=>10
[9,5,1,10,6,3,2,4,7,8]=>000000000=>10
[10,7,1,8,5,3,2,4,6,9]=>000000000=>10
[9,1,10,7,5,3,2,4,6,8]=>000000000=>10
[8,3,1,9,2,10,5,4,6,7]=>000000000=>10
[10,6,1,7,3,2,8,4,5,9]=>000000000=>10
[9,1,10,6,3,2,7,4,5,8]=>000000000=>10
[8,1,9,3,2,10,6,4,5,7]=>000000000=>10
[7,1,8,3,2,9,4,10,5,6]=>000000000=>10
[10,8,4,1,5,2,6,3,7,9]=>000000000=>10
[9,4,1,10,5,2,6,3,7,8]=>000000000=>10
[10,7,1,8,4,2,5,3,6,9]=>000000000=>10
[9,1,10,7,4,2,5,3,6,8]=>000000000=>10
[8,1,9,4,2,10,5,3,6,7]=>000000000=>10
[10,6,1,7,2,8,4,3,5,9]=>000000000=>10
[9,1,10,6,2,7,4,3,5,8]=>000000000=>10
[8,1,9,2,10,6,4,3,5,7]=>000000000=>10
[7,1,8,2,9,4,3,10,5,6]=>000000000=>10
[10,5,1,6,2,7,3,8,4,9]=>000000000=>10
[9,1,10,5,2,6,3,7,4,8]=>000000000=>10
[8,1,9,2,10,5,3,6,4,7]=>000000000=>10
[7,1,8,2,9,3,10,5,4,6]=>000000000=>10
[4,2,8,5,7,1,6,3]=>0000000=>8
[6,8,7,4,5,3,2,1]=>0000000=>8
[6,4,8,1,5,2,3,7]=>0000000=>8
[7,2,4,1,6,3,5,8]=>0000001=>7
[2,8,7,3,1,4,5,6]=>0000000=>8
[9,8,4,5,7,6,3,2,1]=>00000000=>9
[9,8,5,4,6,7,3,2,1]=>00000000=>9
[10,9,8,6,5,7,4,3,2,1]=>000000000=>10
[11,10,9,8,5,7,6,4,3,2,1]=>0000000000=>11
[10,9,8,4,5,7,6,3,2,1]=>000000000=>10
[9,8,4,5,3,7,6,2,1]=>00000000=>9
[9,8,3,5,7,6,4,2,1]=>00000000=>9
[9,8,5,4,6,3,7,2,1]=>00000000=>9
[9,8,4,3,6,7,5,2,1]=>00000000=>9
[10,9,8,5,4,6,7,3,2,1]=>000000000=>10
[11,10,9,8,6,5,7,4,3,2,1]=>0000000000=>11
[8,4,7,6,3,1,2,5]=>0000000=>8
[6,4,7,5,3,2,8,1]=>0000000=>8
[6,7,3,4,2,1,8,5]=>0000000=>8
[6,4,8,3,1,5,7,2]=>0000000=>8
[7,4,2,3,5,1,8,6]=>0000000=>8
[3,1,6,5,2,4,8,7]=>0000010=>6
[5,8,4,1,3,2,7,6]=>0000000=>8
[5,3,4,7,6,1,8,2]=>0000000=>8
[4,5,2,1,6,3,8,7]=>0000010=>6
[4,5,2,1,6,7,3,8]=>0000001=>7
[5,3,8,6,2,4,7,1]=>0000000=>8
[2,5,1,6,4,3,8,7]=>0000010=>6
[3,6,2,8,5,7,1,4]=>0000000=>8
[4,6,8,1,5,7,2,3]=>0000000=>8
[4,1,2,5,7,6,3,8]=>0000001=>7
[4,6,5,8,1,7,3,2]=>0000000=>8
[2,1,3,6,4,8,7,5]=>0110000=>2
[4,8,1,2,7,5,6,3]=>0000000=>8
[1,6,4,3,8,7,5,2]=>1000000=>1
[4,5,1,6,8,7,2,3]=>0000000=>8
[3,4,7,2,5,8,6,1]=>0000000=>8
[2,5,1,8,6,4,7,3]=>0000000=>8
[2,5,8,7,3,1,4,6]=>0000000=>8
[9,8,7,4,3,2,1,5,6]=>00000000=>9
[9,8,7,6,3,2,1,4,5]=>00000000=>9
[3,8,7,2,6,1,4,5]=>0000000=>8
[8,4,5,1,6,7,2,3]=>0000000=>8
[2,5,1,8,3,6,4,7]=>0000000=>8
[5,8,4,7,3,2,1,6]=>0000000=>8
[5,8,1,3,4,7,2,6]=>0000000=>8
[7,2,4,5,3,1,6,8]=>0000001=>7
[3,7,4,6,2,1,8,5]=>0000000=>8
[4,3,7,6,5,1,8,2]=>0000000=>8
[5,1,4,8,2,3,7,6]=>0000000=>8
[3,2,8,5,4,1,6,7]=>0000000=>8
[7,8,9,1,3,4,5,6,2]=>00000000=>9
[6,1,2,9,3,4,5,7,8]=>00000000=>9
[4,1,2,3,5,9,6,7,8]=>00011000=>4
[3,1,2,4,5,6,9,7,8]=>00111100=>3
[1,2,8,3,4,6,5,7]=>1100000=>1
[8,1,2,7,3,5,4,6]=>0000000=>8
[5,7,1,2,6,3,4,8]=>0000001=>7
[1,2,7,5,6,3,4,8]=>1100001=>1
[5,1,4,7,2,3,6,8]=>0000001=>7
[4,8,1,2,3,6,5,7]=>0000000=>8
[1,3,4,2,5,6,7,8,9]=>10011111=>1
[1,2,4,5,6,3,7,8,9]=>11000111=>1
[1,2,3,5,6,7,8,4,9]=>11100001=>1
[2,1,5,3,6,7,4,8,9]=>01000011=>2
[1,3,5,6,4,2,7,8,9]=>10000111=>1
[3,5,2,1,6,4,7,8,9]=>00000111=>6
[2,1,3,6,4,7,8,9,5]=>01100000=>2
[1,3,4,6,7,2,8,5,9]=>10000001=>1
[3,2,6,1,4,7,8,5,9]=>00000001=>8
[2,4,6,1,7,5,3,8,9]=>00000011=>7
[4,6,3,2,1,7,5,8,9]=>00000011=>7
[2,4,1,7,5,8,3,9,6]=>00000000=>9
[4,3,7,2,1,5,8,9,6]=>00000000=>9
[1,3,5,7,8,6,4,2,9]=>10000001=>1
[3,5,7,2,1,8,6,4,9]=>00000001=>8
[5,7,4,3,2,1,8,6,9]=>00000001=>8
[2,4,6,8,1,9,7,5,3]=>00000000=>9
[4,6,8,3,2,1,9,7,5]=>00000000=>9
[6,8,5,4,3,2,1,9,7]=>00000000=>9
[1,3,4,2,5,6,7,8,9,10]=>100111111=>1
[1,2,4,5,6,3,7,8,9,10]=>110001111=>1
[1,2,3,5,6,7,8,4,9,10]=>111000011=>1
[2,1,5,3,6,7,4,8,9,10]=>010000111=>2
[1,3,5,6,4,2,7,8,9,10]=>100001111=>1
[3,5,2,1,6,4,7,8,9,10]=>000001111=>6
[2,1,3,6,4,7,8,9,5,10]=>011000001=>2
[1,3,4,6,7,2,8,5,9,10]=>100000011=>1
[3,2,6,1,4,7,8,5,9,10]=>000000011=>8
[2,4,6,1,7,5,3,8,9,10]=>000000111=>7
[4,6,3,2,1,7,5,8,9,10]=>000000111=>7
[1,3,4,2,7,8,5,9,10,6]=>100100000=>1
[3,2,1,7,4,5,8,9,10,6]=>001000000=>3
[1,2,4,5,7,8,9,6,3,10]=>110000001=>1
[4,3,7,2,1,5,8,9,6,10]=>000000001=>9
[1,3,5,7,8,6,4,2,9,10]=>100000011=>1
[3,5,7,2,1,8,6,4,9,10]=>000000011=>8
[5,7,4,3,2,1,8,6,9,10]=>000000011=>8
[2,1,5,3,8,6,9,10,7,4]=>010000000=>2
[1,3,5,6,8,9,4,2,10,7]=>100000000=>1
[3,5,2,8,1,6,9,4,10,7]=>000000000=>10
[5,4,8,3,2,1,6,9,10,7]=>000000000=>10
[2,4,6,8,1,9,7,5,3,10]=>000000001=>9
[4,6,8,3,2,1,9,7,5,10]=>000000001=>9
[6,8,5,4,3,2,1,9,7,10]=>000000001=>9
[3,5,7,9,2,1,10,8,6,4]=>000000000=>10
[5,7,9,4,3,2,1,10,8,6]=>000000000=>10
[7,9,6,5,4,3,2,1,10,8]=>000000000=>10
[6,2,3,8,7,1,4,5]=>0000000=>8
[8,2,3,6,4,7,5,1]=>0000000=>8
[7,2,3,6,4,8,1,5]=>0000000=>8
[4,5,1,3,2,6,8,7]=>0000110=>5
[6,4,7,5,1,3,2,8]=>0000001=>7
[5,3,1,6,2,7,8,4]=>0000000=>8
[6,7,2,4,1,8,3,5]=>0000000=>8
[5,1,6,3,2,7,8,4]=>0000000=>8
[5,2,1,6,4,7,3,8]=>0000001=>7
[5,4,1,6,2,7,8,3]=>0000000=>8
[6,7,2,5,4,1,3,8]=>0000001=>7
[7,1,3,5,4,2,8,6]=>0000000=>8
[6,3,2,4,8,7,1,5]=>0000000=>8
[2,7,1,5,8,6,4,3]=>0000000=>8
[7,1,4,3,6,5,8,2]=>0000000=>8
[7,1,5,6,3,4,8,2]=>0000000=>8
[6,1,8,5,4,7,3,2]=>0000000=>8
[7,6,1,5,4,2,8,3]=>0000000=>8
[5,1,6,8,7,2,4,3]=>0000000=>8
[4,6,7,5,3,1,8,2]=>0000000=>8
[5,3,2,6,8,7,4,1]=>0000000=>8
[5,4,6,2,8,7,3,1]=>0000000=>8
[4,5,8,6,7,2,3,1]=>0000000=>8
[4,5,7,6,1,2,8,3]=>0000000=>8
[4,6,5,7,2,1,8,3]=>0000000=>8
[7,4,8,6,3,5,1,2]=>0000000=>8
[4,6,3,5,1,8,2,7]=>0000000=>8
[8,5,7,6,2,3,4,1]=>0000000=>8
[3,5,6,7,8,9,2,4,1]=>00000000=>9
[3,4,6,7,8,2,5,1]=>0000000=>8
[2,4,6,7,8,9,1,3,5]=>00000000=>9
[2,5,6,7,3,8,1,4]=>0000000=>8
[2,5,6,7,8,9,3,1,4]=>00000000=>9
[2,4,7,5,8,6,3,1]=>0000000=>8
[1,6,8,3,4,2,7,5]=>1000000=>1
[2,6,5,3,7,4,8,1]=>0000000=>8
[1,4,6,5,3,8,2,7]=>1000000=>1
[2,4,5,8,7,1,3,6]=>0000000=>8
[3,1,6,8,7,5,4,2]=>0000000=>8
[3,1,8,7,5,6,4,2]=>0000000=>8
[5,1,8,7,6,3,4,2]=>0000000=>8
[8,2,7,5,3,6,4,1]=>0000000=>8
[8,7,2,3,1,5,6,4]=>0000000=>8
[2,8,5,7,6,1,3,4]=>0000000=>8
[1,8,7,2,6,4,5,3]=>1000000=>1
[8,7,2,1,6,4,5,3]=>0000000=>8
[1,8,4,7,6,2,5,3]=>1000000=>1
[8,7,1,6,4,3,5,2]=>0000000=>8
[8,4,1,7,3,6,5,2]=>0000000=>8
[4,5,6,7,8,9,1,10,2,3]=>000000000=>10
[2,5,6,7,8,1,9,3,4]=>00000000=>9
[4,5,6,7,1,2,8,3,9]=>00000001=>8
[1,3,6,7,8,9,2,4,5]=>10000000=>1
[3,5,6,7,8,1,2,9,4]=>00000000=>9
[4,5,1,8,7,3,6,2]=>0000000=>8
[4,3,8,5,2,6,1,7]=>0000000=>8
[5,7,4,1,2,6,8,3]=>0000000=>8
[2,8,6,7,5,3,1,4]=>0000000=>8
[8,4,7,3,1,2,5,6]=>0000000=>8
[4,8,3,2,6,1,7,5]=>0000000=>8
[4,3,7,6,1,5,2,8]=>0000001=>7
[7,5,4,3,6,1,8,2]=>0000000=>8
[4,6,8,5,3,1,2,7]=>0000000=>8
[5,6,8,4,3,7,2,1]=>0000000=>8
[7,5,8,4,2,1,6,3]=>0000000=>8
[8,4,2,6,5,7,3,1]=>0000000=>8
[1,7,4,2,8,5,6,3]=>1000000=>1
[3,2,1,7,4,6,8,5]=>0010000=>3
[6,2,5,7,1,4,3,8]=>0000001=>7
[4,8,5,3,1,2,6,7]=>0000000=>8
[8,5,2,4,6,1,3,7]=>0000000=>8
[1,5,3,4,7,2,6,8]=>1000001=>1
[8,4,6,1,5,7,3,2]=>0000000=>8
[6,4,7,2,1,3,8,5]=>0000000=>8
[6,7,3,1,2,4,8,5]=>0000000=>8
[3,1,8,7,6,2,5,4]=>0000000=>8
[1,3,8,6,7,2,5,4]=>1000000=>1
[5,2,3,6,1,8,4,7]=>0000000=>8
[3,2,6,4,7,1,5,8]=>0000001=>7
[3,6,2,5,7,8,4,1]=>0000000=>8
[2,7,4,6,8,3,5,1]=>0000000=>8
[3,7,6,8,1,5,4,2]=>0000000=>8
[1,5,7,6,8,4,2,3]=>1000000=>1
[2,7,4,6,8,5,3,1]=>0000000=>8
[3,7,6,8,5,1,4,2]=>0000000=>8
[7,1,3,8,6,2,4,5]=>0000000=>8
[2,7,1,8,6,5,3,4]=>0000000=>8
[2,3,4,5,7,6,8,9,1]=>00000000=>9
[2,3,4,5,8,7,6,9,1]=>00000000=>9
[5,3,4,7,6,2,1,8]=>0000001=>7
[7,4,5,3,8,1,6,2]=>0000000=>8
[7,3,6,1,4,2,8,5]=>0000000=>8
[1,2,3,4,7,9,5,6,8]=>11110000=>1
[1,2,3,4,6,7,9,5,8]=>11110000=>1
[1,2,3,4,8,5,6,9,7]=>11110000=>1
[1,2,3,4,7,8,5,9,6]=>11110000=>1
[1,2,4,8,5,7,3,6]=>1100000=>1
[7,1,4,6,8,5,3,2]=>0000000=>8
[7,2,5,1,6,4,8,3]=>0000000=>8
[2,7,1,5,6,4,8,3]=>0000000=>8
[1,5,7,8,4,6,3,2]=>1000000=>1
[1,4,8,5,7,6,3,2]=>1000000=>1
[2,8,1,5,6,4,7,3]=>0000000=>8
[3,7,2,8,1,5,6,4]=>0000000=>8
[7,3,2,5,1,6,8,4]=>0000000=>8
[8,7,2,1,3,6,5,4]=>0000000=>8
[7,3,2,8,1,4,6,5]=>0000000=>8
[3,6,2,1,8,4,7,5]=>0000000=>8
[4,6,5,3,1,8,7,2]=>0000000=>8
[8,6,7,4,3,1,5,2]=>0000000=>8
[8,6,7,1,4,3,5,2]=>0000000=>8
[8,6,7,2,1,3,5,4]=>0000000=>8
[8,5,6,1,7,4,2,3]=>0000000=>8
[6,1,5,4,2,7,8,3]=>0000000=>8
[3,8,6,1,5,7,4,2]=>0000000=>8
[6,4,2,3,7,8,1,5]=>0000000=>8
[4,3,6,2,5,8,1,7]=>0000000=>8
[9,8,10,7,6,5,4,3,1,2]=>000000000=>10
[8,7,9,6,5,4,2,1,3]=>00000000=>9
[8,9,7,6,5,4,2,1,3]=>00000000=>9
[8,9,7,6,5,4,2,3,1]=>00000000=>9
[8,2,4,3,1,7,5,6]=>0000000=>8
[8,2,1,4,3,7,5,6]=>0000000=>8
[7,1,6,8,3,2,4,5]=>0000000=>8
[5,7,2,6,4,1,8,3]=>0000000=>8
[5,7,1,8,3,2,6,4]=>0000000=>8
[2,6,1,8,4,7,5,3]=>0000000=>8
[2,3,4,5,8,6,7,9,1]=>00000000=>9
[2,3,4,5,9,6,8,7,1]=>00000000=>9
[9,3,4,5,2,6,7,8,1]=>00000000=>9
[6,2,3,4,5,7,8,9,10,1]=>000000000=>10
[2,6,3,4,5,7,8,9,10,1]=>000000000=>10
[2,3,6,4,5,7,8,9,10,1]=>000000000=>10
[5,4,7,2,1,3,8,6]=>0000000=>8
[5,1,4,6,2,7,8,3]=>0000000=>8
[1,2,5,3,7,8,6,4]=>1100000=>1
[4,8,3,5,1,2,7,6]=>0000000=>8
[6,1,3,7,2,8,4,5]=>0000000=>8
[3,8,5,4,1,7,2,6]=>0000000=>8
[3,1,5,8,2,6,7,4]=>0000000=>8
[2,8,5,3,1,7,4,6]=>0000000=>8
[6,5,2,3,7,1,8,4]=>0000000=>8
[7,2,1,6,4,8,3,5]=>0000000=>8
[2,1,3,7,5,8,4,6]=>0110000=>2
[6,2,4,5,7,1,8,3]=>0000000=>8
[2,3,8,7,1,4,6,5]=>0000000=>8
[4,2,7,5,6,8,1,3]=>0000000=>8
[2,1,3,4,5,8,6,7,9]=>01111001=>2
[6,8,2,5,4,7,3,1]=>0000000=>8
[10,7,1,2,3,4,5,9,6,8]=>000000000=>10
[5,3,2,7,6,1,8,4]=>0000000=>8
[6,4,7,1,2,3,8,5]=>0000000=>8
[6,1,7,3,8,4,5,2]=>0000000=>8
[8,2,3,1,6,4,7,5]=>0000000=>8
[1,8,7,2,3,4,6,5]=>1000000=>1
[1,8,3,7,6,2,5,4]=>1000000=>1
[1,3,8,2,5,6,4,7]=>1000000=>1
[1,3,2,7,4,6,8,5]=>1010000=>1
[1,3,8,4,6,2,7,5]=>1000000=>1
[8,2,3,6,7,4,5,1]=>0000000=>8
[5,6,4,2,1,7,3,8]=>0000001=>7
[6,4,7,1,2,5,3,8]=>0000001=>7
[4,5,6,7,8,9,1,2,10,3]=>000000000=>10
[4,5,6,7,8,1,3,9,2]=>00000000=>9
[1,2,7,5,8,6,3,4]=>1100000=>1
[7,4,5,1,6,8,2,3]=>0000000=>8
[1,7,8,4,2,6,3,5]=>1000000=>1
[6,3,2,5,7,4,1,8]=>0000001=>7
[6,2,1,5,3,7,8,4]=>0000000=>8
[4,1,7,8,3,6,5,2]=>0000000=>8
[6,4,2,1,7,3,5,8]=>0000001=>7
[5,8,4,2,1,3,6,7]=>0000000=>8
[4,5,3,6,7,8,9,1,2]=>00000000=>9
[5,3,4,6,7,8,9,1,2]=>00000000=>9
[1,7,5,8,4,3,6,2]=>1000000=>1
[5,8,1,6,4,7,2,3]=>0000000=>8
[2,4,7,5,1,8,6,3]=>0000000=>8
[2,3,7,1,8,5,6,4]=>0000000=>8
[6,5,1,2,7,4,8,3]=>0000000=>8
[3,6,5,7,8,2,4,1]=>0000000=>8
[3,6,5,1,8,7,4,2]=>0000000=>8
[7,8,1,2,5,4,3,6]=>0000000=>8
[5,2,4,7,6,8,1,3]=>0000000=>8
[3,1,5,7,4,8,6,2]=>0000000=>8
[4,1,7,6,8,2,5,3]=>0000000=>8
[7,2,6,4,1,5,3,8]=>0000001=>7
[1,2,6,5,8,3,7,4]=>1100000=>1
[7,3,5,6,1,4,2,8]=>0000001=>7
[5,8,3,1,6,7,4,2]=>0000000=>8
[4,5,8,1,7,3,6,2]=>0000000=>8
[4,7,1,6,8,5,2,3]=>0000000=>8
[5,8,7,1,6,4,2,3]=>0000000=>8
[1,7,3,8,2,5,4,6]=>1000000=>1
[8,4,1,3,6,7,5,2]=>0000000=>8
[6,2,7,1,4,3,5,8]=>0000001=>7
[8,3,2,6,5,1,7,4]=>0000000=>8
[1,6,4,8,2,3,5,7]=>1000000=>1
[1,4,7,3,5,8,6,2]=>1000000=>1
[3,7,8,2,5,1,6,4]=>0000000=>8
[8,6,1,4,3,2,7,5]=>0000000=>8
[7,3,8,2,4,1,5,6]=>0000000=>8
[6,3,7,8,1,2,5,4]=>0000000=>8
[7,6,1,5,2,3,8,4]=>0000000=>8
[5,1,8,6,7,2,3,4]=>0000000=>8
[5,7,1,6,8,2,3,4]=>0000000=>8
[6,8,4,2,1,7,3,5]=>0000000=>8
[6,3,2,8,1,7,4,5]=>0000000=>8
[6,4,1,3,7,8,5,2]=>0000000=>8
[6,8,5,4,3,7,1,2]=>0000000=>8
[6,1,2,4,8,3,7,5]=>0000000=>8
[2,5,6,8,1,4,7,3]=>0000000=>8
[7,4,1,6,5,2,3,8]=>0000001=>7
[4,1,6,5,2,3,8,7]=>0000010=>6
[4,5,1,7,8,6,2,3]=>0000000=>8
[4,8,6,2,5,7,3,1]=>0000000=>8
[1,6,8,7,4,5,3,2]=>1000000=>1
[1,2,3,7,4,8,5,9,6]=>11100000=>1
[1,2,3,4,7,5,9,8,6]=>11110000=>1
[1,2,6,3,7,4,9,8,5]=>11000000=>1
[1,2,3,8,6,4,9,7,5]=>11100000=>1
[1,2,3,6,4,9,8,7,5]=>11100000=>1
[5,1,6,2,7,3,9,8,4]=>00000000=>9
[1,5,2,8,6,3,9,7,4]=>10000000=>1
[1,5,2,6,3,9,8,7,4]=>10000000=>1
[1,2,7,5,3,9,8,6,4]=>11000000=>1
[1,2,5,3,9,8,7,6,4]=>11000000=>1
[4,1,7,5,2,9,8,6,3]=>00000000=>9
[4,1,5,2,9,8,7,6,3]=>00000000=>9
[1,6,4,2,9,8,7,5,3]=>10000000=>1
[1,4,2,9,8,7,6,5,3]=>10000000=>1
[7,5,3,1,9,8,6,4,2]=>00000000=>9
[5,3,1,9,8,7,6,4,2]=>00000000=>9
[1,2,3,4,8,5,9,6,10,7]=>111100000=>1
[1,2,3,4,5,8,6,10,9,7]=>111110000=>1
[1,2,3,7,4,8,5,10,9,6]=>111000000=>1
[1,2,3,4,9,7,5,10,8,6]=>111100000=>1
[1,2,3,4,7,5,10,9,8,6]=>111100000=>1
[1,6,2,7,3,8,4,10,9,5]=>100000000=>1
[1,2,6,3,9,7,4,10,8,5]=>110000000=>1
[1,2,6,3,7,4,10,9,8,5]=>110000000=>1
[1,2,3,8,6,4,10,9,7,5]=>111000000=>1
[1,2,3,6,4,10,9,8,7,5]=>111000000=>1
[5,1,6,2,9,7,3,10,8,4]=>000000000=>10
[5,1,6,2,7,3,10,9,8,4]=>000000000=>10
[1,5,2,6,3,10,9,8,7,4]=>100000000=>1
[1,2,7,5,3,10,9,8,6,4]=>110000000=>1
[1,2,5,3,10,9,8,7,6,4]=>110000000=>1
[7,4,1,8,5,2,10,9,6,3]=>000000000=>10
[4,1,9,7,5,2,10,8,6,3]=>000000000=>10
[4,1,7,5,2,10,9,8,6,3]=>000000000=>10
[4,1,5,2,10,9,8,7,6,3]=>000000000=>10
[1,8,6,4,2,10,9,7,5,3]=>100000000=>1
[1,6,4,2,10,9,8,7,5,3]=>100000000=>1
[1,4,2,10,9,8,7,6,5,3]=>100000000=>1
[7,5,3,1,10,9,8,6,4,2]=>000000000=>10
[5,3,1,10,9,8,7,6,4,2]=>000000000=>10
[4,3,1,6,2,5,8,7]=>0000010=>6
[5,3,1,4,7,8,2,6]=>0000000=>8
[5,2,4,1,6,8,3,7]=>0000000=>8
[2,5,3,4,6,8,1,7]=>0000000=>8
[4,7,1,2,5,6,3,8]=>0000001=>7
[6,7,3,1,8,2,4,5]=>0000000=>8
[7,3,1,4,6,2,8,5]=>0000000=>8
[7,4,1,2,5,6,3,8]=>0000001=>7
[5,4,1,3,6,8,7,2]=>0000000=>8
[5,7,4,8,1,6,3,2]=>0000000=>8
[4,3,1,2,5,7,6,8]=>0001101=>4
[1,2,3,4,5,8,9,7,6]=>11111000=>1
[1,2,3,4,8,9,6,7,5]=>11110000=>1
[1,2,3,8,9,5,6,7,4]=>11100000=>1
[1,2,4,7,8,5,6,3]=>1100000=>1
[1,2,8,9,4,5,6,7,3]=>11000000=>1
[2,1,6,5,8,7,3,4]=>0100000=>2
[3,1,8,4,2,7,6,5]=>0000000=>8
[2,8,7,4,1,3,6,5]=>0000000=>8
[8,2,3,1,7,6,4,5]=>0000000=>8
[8,7,2,3,1,6,4,5]=>0000000=>8
[7,2,5,8,3,1,4,6]=>0000000=>8
[6,8,2,3,1,7,4,5]=>0000000=>8
[8,2,5,7,3,1,4,6]=>0000000=>8
[8,2,7,3,1,4,5,6]=>0000000=>8
[5,3,2,8,7,1,6,4]=>0000000=>8
[4,8,3,2,6,5,7,1]=>0000000=>8
[1,4,2,5,6,7,9,8,3]=>10000000=>1
[2,3,4,5,6,7,8,9,1,11,10]=>0000000010=>9
[2,1,4,5,6,9,7,3,8]=>01000000=>2
[3,5,4,6,1,2,8,7]=>0000010=>6
[3,1,5,2,9,6,7,8,4]=>00000000=>9
[4,5,1,6,8,7,9,2,3]=>00000000=>9
[1,4,2,5,6,7,8,10,9,3]=>100000000=>1
[3,4,1,5,6,7,8,9,10,11,2]=>0000000000=>11
[1,3,4,5,6,7,8,9,11,2,10]=>1000000000=>1
[2,1,4,5,6,7,10,8,3,9]=>010000000=>2
[2,3,1,5,9,6,7,4,8]=>00100000=>3
[1,2,4,5,7,9,6,3,8]=>11000000=>1
[3,4,6,5,7,1,2,9,8]=>00000010=>7
[3,1,9,4,2,6,7,8,5]=>00000000=>9
[7,3,5,6,1,8,2,4]=>0000000=>8
[1,2,5,3,9,6,8,7,4]=>11000000=>1
[3,1,5,2,6,10,7,8,9,4]=>000000000=>10
[4,5,1,7,6,8,2,9,3]=>00000000=>9
[4,5,1,6,7,9,8,10,2,3]=>000000000=>10
[1,4,2,5,6,7,8,9,11,10,3]=>1000000000=>1
[5,7,6,3,4,2,8,1]=>0000000=>8
[4,6,7,2,3,5,8,1]=>0000000=>8
[6,5,4,8,7,2,3,1]=>0000000=>8
[7,2,8,3,9,4,10,5,1,6]=>000000000=>10
[7,2,8,3,9,4,10,1,5,6]=>000000000=>10
[7,2,8,3,9,10,4,5,1,6]=>000000000=>10
[7,2,8,3,9,10,4,1,5,6]=>000000000=>10
[7,2,8,3,9,10,1,4,5,6]=>000000000=>10
[7,2,8,9,3,4,10,5,1,6]=>000000000=>10
[7,2,8,9,3,4,10,1,5,6]=>000000000=>10
[7,2,8,9,3,10,4,5,1,6]=>000000000=>10
[7,2,8,9,3,10,4,1,5,6]=>000000000=>10
[7,2,8,9,3,10,1,4,5,6]=>000000000=>10
[7,2,8,9,10,3,4,5,1,6]=>000000000=>10
[7,2,8,9,10,3,4,1,5,6]=>000000000=>10
[7,2,8,9,10,3,1,4,5,6]=>000000000=>10
[7,8,2,3,9,4,10,5,1,6]=>000000000=>10
[7,8,2,3,9,4,10,1,5,6]=>000000000=>10
[7,8,2,3,9,10,4,5,1,6]=>000000000=>10
[7,8,2,3,9,10,4,1,5,6]=>000000000=>10
[7,8,2,3,9,10,1,4,5,6]=>000000000=>10
[7,8,2,9,3,4,10,5,1,6]=>000000000=>10
[7,8,2,9,3,4,10,1,5,6]=>000000000=>10
[7,8,2,9,3,10,4,5,1,6]=>000000000=>10
[7,8,2,9,3,10,4,1,5,6]=>000000000=>10
[7,8,2,9,3,10,1,4,5,6]=>000000000=>10
[7,8,2,9,10,3,4,5,1,6]=>000000000=>10
[7,8,2,9,10,3,4,1,5,6]=>000000000=>10
[7,8,2,9,10,3,1,4,5,6]=>000000000=>10
[7,8,2,9,10,1,3,4,5,6]=>000000000=>10
[7,8,9,2,3,4,10,5,1,6]=>000000000=>10
[7,8,9,2,3,4,10,1,5,6]=>000000000=>10
[7,8,9,2,3,10,4,5,1,6]=>000000000=>10
[7,8,9,2,3,10,4,1,5,6]=>000000000=>10
[7,8,9,2,3,10,1,4,5,6]=>000000000=>10
[7,8,9,2,10,3,4,5,1,6]=>000000000=>10
[7,8,9,2,10,3,4,1,5,6]=>000000000=>10
[7,8,9,2,10,3,1,4,5,6]=>000000000=>10
[7,8,9,2,10,1,3,4,5,6]=>000000000=>10
[7,8,9,10,2,3,4,1,5,6]=>000000000=>10
[7,8,9,10,2,3,1,4,5,6]=>000000000=>10
[7,8,9,10,2,1,3,4,5,6]=>000000000=>10
[4,8,7,6,5,3,2,1,9]=>00000001=>8
[5,9,8,7,6,4,3,2,1,10]=>000000001=>9
[5,8,7,4,6,3,2,1,9]=>00000001=>8
[8,4,7,6,5,3,2,1,9]=>00000001=>8
[5,7,4,3,6,2,1,8]=>0000001=>7
[6,9,8,5,7,4,1,3,2]=>00000000=>9
[9,8,7,5,1,6,4,3,2]=>00000000=>9
[10,9,8,6,1,7,5,4,3,2]=>000000000=>10
[1,2,8,3,4,5,6,9,7]=>11000000=>1
[1,9,5,2,3,8,4,6,7]=>10000000=>1
[1,2,9,3,4,5,6,7,10,8]=>110000000=>1
[1,8,2,9,4,3,5,6,7]=>10000000=>1
[1,3,2,4,9,8,5,6,7]=>10110000=>1
[2,1,3,4,5,9,8,6,7]=>01111000=>2
[1,2,3,4,5,9,6,7,10,8]=>111110000=>1
[9,1,7,2,3,4,5,8,6]=>00000000=>9
[1,10,6,2,3,4,9,5,7,8]=>100000000=>1
[1,8,5,2,3,4,6,9,7]=>10000000=>1
[9,8,1,2,3,5,6,4,7]=>00000000=>9
[1,5,2,9,3,10,4,6,7,8]=>100000000=>1
[1,4,2,3,9,5,6,8,7]=>10010000=>1
[1,8,5,6,2,3,7,4]=>1000000=>1
[4,9,8,1,2,5,3,6,7]=>00000000=>9
[1,2,4,3,10,9,5,6,7,8]=>110100000=>1
[1,3,2,4,5,9,6,8,7]=>10111000=>1
[1,8,3,9,4,2,5,6,7]=>10000000=>1
[1,3,2,4,5,10,9,6,7,8]=>101110000=>1
[1,2,3,4,5,10,6,7,8,11,9]=>1111100000=>1
[2,3,1,4,9,8,5,6,7]=>00110000=>3
[2,1,3,4,5,9,6,10,7,8]=>011110000=>2
[8,5,6,1,3,2,7,4]=>0000000=>8
[4,5,8,3,6,1,7,2]=>0000000=>8
[4,5,8,7,2,3,1,6]=>0000000=>8
[8,2,6,4,3,7,5,1]=>0000000=>8
[6,3,1,8,7,4,5,2]=>0000000=>8
[8,6,3,2,7,4,5,1]=>0000000=>8
[1,3,6,8,7,4,5,2]=>1000000=>1
[5,7,1,3,6,2,4,8]=>0000001=>7
[4,7,1,3,2,5,8,6]=>0000000=>8
[6,3,1,5,4,8,2,7]=>0000000=>8
[4,7,6,3,5,2,8,1]=>0000000=>8
[1,7,5,3,4,8,6,2]=>1000000=>1
[5,8,2,3,4,7,6,1]=>0000000=>8
[8,7,3,2,6,4,5,1]=>0000000=>8
[8,3,1,4,7,5,2,6]=>0000000=>8
[5,3,1,6,4,8,7,2]=>0000000=>8
[3,4,8,5,7,2,6,1]=>0000000=>8
[8,5,1,2,7,6,4,3]=>0000000=>8
[3,7,8,5,6,2,4,1]=>0000000=>8
[7,4,3,6,2,5,8,1]=>0000000=>8
[4,3,8,7,1,6,2,5]=>0000000=>8
[1,5,3,8,4,7,2,6]=>1000000=>1
[8,2,3,1,6,5,7,4]=>0000000=>8
[8,4,2,7,1,3,6,5]=>0000000=>8
[8,4,2,3,1,6,7,5]=>0000000=>8
[4,7,2,3,6,5,8,1]=>0000000=>8
[3,8,2,6,4,7,1,5]=>0000000=>8
[1,7,5,8,6,2,4,3]=>1000000=>1
[6,5,1,7,4,8,3,2]=>0000000=>8
[10,9,8,6,7,5,4,3,2,1]=>000000000=>10
[7,6,3,5,1,4,8,2]=>0000000=>8
[6,5,4,1,7,2,3,8]=>0000001=>7
[8,3,6,1,7,4,5,2]=>0000000=>8
[7,1,2,6,4,8,3,5]=>0000000=>8
[3,5,1,8,6,2,4,7]=>0000000=>8
[8,7,5,6,4,3,2,1,9]=>00000001=>8
[8,6,5,7,4,3,2,1,9]=>00000001=>8
[9,8,7,6,4,3,2,5,1]=>00000000=>9
[9,8,7,6,4,3,5,2,1]=>00000000=>9
[8,5,6,7,4,3,2,1,9]=>00000001=>8
[10,9,7,6,8,5,4,3,2,1]=>000000000=>10
[6,7,5,8,4,3,2,1,9]=>00000001=>8
[10,8,7,6,9,5,4,3,2,1]=>000000000=>10
[8,9,7,6,4,3,2,1,5]=>00000000=>9
[7,6,5,3,2,1,4,8,9]=>00000011=>7
[9,8,7,6,4,3,5,1,2]=>00000000=>9
[9,8,7,6,4,3,2,5,1,10]=>000000001=>9
[9,8,7,6,4,5,2,3,1]=>00000000=>9
[9,8,7,6,4,3,5,2,1,10]=>000000001=>9
[9,8,7,6,5,3,4,2,1]=>00000000=>9
[1,8,7,5,4,6,2,3]=>1000000=>1
[8,1,6,7,4,5,3,2]=>0000000=>8
[8,1,6,4,7,5,3,2]=>0000000=>8
[1,6,4,3,5,8,2,7]=>1000000=>1
[5,1,4,3,7,8,6,2]=>0000000=>8
[5,7,1,8,6,3,2,4]=>0000000=>8
[5,7,6,3,4,2,1,8]=>0000001=>7
[4,1,3,7,6,5,2,8]=>0000001=>7
[4,3,6,1,2,7,8,5]=>0000000=>8
[1,10,9,8,6,5,7,4,3,2]=>100000000=>1
[2,9,8,6,5,7,4,3,1]=>00000000=>9
[5,8,3,6,7,2,4,1]=>0000000=>8
[8,1,6,2,5,7,4,3]=>0000000=>8
[2,7,1,5,3,6,8,4]=>0000000=>8
[6,8,7,3,4,2,5,1]=>0000000=>8
[1,8,6,2,4,7,5,3]=>1000000=>1
[5,7,3,6,4,2,1,8]=>0000001=>7
[5,7,3,6,4,1,8,2]=>0000000=>8
[3,7,5,6,4,1,8,2]=>0000000=>8
[9,6,7,4,5,2,3,1,8]=>00000000=>9
[2,8,5,7,3,4,6,1]=>0000000=>8
[2,1,3,8,5,4,6,7]=>0110000=>2
[5,3,6,8,2,4,1,7]=>0000000=>8
[1,7,8,6,3,2,4,5]=>1000000=>1
[7,1,2,5,3,8,4,6]=>0000000=>8
[3,7,4,2,5,1,8,6]=>0000000=>8
[1,8,3,4,5,7,2,6]=>1000000=>1
[4,5,7,6,2,1,3,8]=>0000001=>7
[7,8,2,6,5,4,3,1]=>0000000=>8
[5,3,7,8,4,2,1,6]=>0000000=>8
[7,3,6,8,1,5,4,2]=>0000000=>8
[3,8,5,2,1,6,7,4]=>0000000=>8
[4,8,7,1,2,5,3,6]=>0000000=>8
[8,7,2,6,1,4,3,5]=>0000000=>8
[6,1,7,3,8,2,4,5]=>0000000=>8
[7,1,8,6,4,2,3,5]=>0000000=>8
[4,1,3,5,8,2,6,7]=>0000000=>8
[1,8,5,7,4,6,3,2]=>1000000=>1
[1,4,7,6,8,3,5,2]=>1000000=>1
[1,7,2,8,6,5,3,4]=>1000000=>1
[5,7,1,6,4,2,3,8]=>0000001=>7
[4,8,2,7,5,1,6,3]=>0000000=>8
[2,8,4,6,7,1,5,3]=>0000000=>8
[3,8,5,1,4,2,6,7]=>0000000=>8
[1,7,6,2,5,3,8,4]=>1000000=>1
[1,7,5,2,4,3,8,6]=>1000000=>1
[2,8,5,1,4,3,6,7]=>0000000=>8
[9,7,6,5,4,3,2,8,1]=>00000000=>9
[3,1,4,6,2,5,8,7,9]=>00000101=>6
[1,3,2,5,7,4,6,9,8]=>10100010=>1
[1,9,8,5,6,7,4,3,2]=>10000000=>1
[1,10,9,8,5,6,7,4,3,2]=>100000000=>1
[1,9,8,5,4,6,7,3,2]=>10000000=>1
[1,10,9,5,6,7,8,4,3,2]=>100000000=>1
[1,9,5,4,6,7,8,3,2]=>10000000=>1
[1,10,4,5,6,7,8,9,3,2]=>100000000=>1
[5,1,7,3,2,6,8,4]=>0000000=>8
[4,1,7,5,6,8,2,3]=>0000000=>8
[3,7,6,2,1,4,5,8]=>0000001=>7
[1,6,8,7,2,5,4,3]=>1000000=>1
[1,4,8,7,6,3,5,2]=>1000000=>1
[1,2,3,4,7,5,6,9,8]=>11110010=>1
[9,8,7,6,5,3,1,4,2]=>00000000=>9
[4,6,7,5,2,3,1,8]=>0000001=>7
[6,2,5,3,1,8,7,4]=>0000000=>8
[6,2,5,3,8,7,1,4]=>0000000=>8
[6,4,5,3,8,7,1,2]=>0000000=>8
[1,6,4,5,8,7,3,2]=>1000000=>1
[8,4,7,5,2,3,1,6]=>0000000=>8
[8,2,7,4,5,3,1,6]=>0000000=>8
[8,2,4,7,5,3,1,6]=>0000000=>8
[8,2,6,7,5,3,1,4]=>0000000=>8
[8,4,6,7,5,3,1,2]=>0000000=>8
[6,4,5,8,7,3,1,2]=>0000000=>8
[6,2,8,7,5,3,1,4]=>0000000=>8
[4,6,5,3,8,7,1,2]=>0000000=>8
[6,7,2,4,5,3,1,8]=>0000001=>7
[6,8,7,4,5,3,1,2]=>0000000=>8
[2,8,4,7,5,3,1,6]=>0000000=>8
[5,8,7,4,6,3,1,2]=>0000000=>8
[6,5,8,4,7,2,1,3]=>0000000=>8
[4,8,6,2,5,7,1,3]=>0000000=>8
[8,1,6,2,5,7,3,4]=>0000000=>8
[6,8,1,2,4,7,3,5]=>0000000=>8
[8,1,5,3,2,7,4,6]=>0000000=>8
[8,3,7,6,2,5,4,1]=>0000000=>8
[1,2,7,4,5,6,8,9,3]=>11000000=>1
[1,2,3,4,7,8,5,6,9]=>11110001=>1
[1,2,3,4,6,5,8,7,9]=>11110101=>1
[1,2,3,4,8,9,5,6,7]=>11110000=>1
[2,1,7,8,9,3,4,5,6]=>01000000=>2
[2,6,7,8,9,10,1,3,4,5]=>000000000=>10
[1,6,2,3,8,5,7,4]=>1000000=>1
[3,4,2,6,8,5,7,1]=>0000000=>8
[7,4,1,3,6,8,2,5]=>0000000=>8
[6,8,1,2,7,3,4,5]=>0000000=>8
[1,6,2,8,7,3,4,5]=>1000000=>1
[2,3,8,1,4,6,5,7]=>0000000=>8
[3,6,2,4,7,5,8,1]=>0000000=>8
[3,1,8,4,6,2,5,7]=>0000000=>8
[4,2,7,3,5,8,1,6]=>0000000=>8
[3,1,8,4,5,6,2,7]=>0000000=>8
[4,2,7,8,6,3,1,5]=>0000000=>8
[7,1,4,2,8,6,3,5]=>0000000=>8
[2,3,7,4,8,1,6,5]=>0000000=>8
[1,6,3,5,8,7,4,2]=>1000000=>1
[8,4,6,3,5,1,7,2]=>0000000=>8
[7,3,2,6,8,4,5,1]=>0000000=>8
[2,4,5,7,1,6,8,3]=>0000000=>8
[8,4,2,6,7,3,5,1]=>0000000=>8
[2,3,1,5,6,8,9,4,7]=>00100000=>3
[5,6,2,4,8,7,3,1]=>0000000=>8
[8,5,6,2,3,7,4,1]=>0000000=>8
[7,8,1,4,5,6,2,3]=>0000000=>8
[5,6,7,8,9,1,3,4,2]=>00000000=>9
[6,7,8,9,1,3,4,5,2]=>00000000=>9
[6,7,8,9,1,4,5,2,3]=>00000000=>9
[6,7,8,9,1,4,5,3,2]=>00000000=>9
[6,7,8,9,1,5,4,3,2]=>00000000=>9
[7,8,9,1,4,5,6,2,3]=>00000000=>9
[7,8,9,1,4,5,6,3,2]=>00000000=>9
[7,8,9,1,5,6,3,4,2]=>00000000=>9
[7,8,9,1,5,6,4,3,2]=>00000000=>9
[7,8,9,1,6,5,4,3,2]=>00000000=>9
[8,9,1,5,6,7,3,4,2]=>00000000=>9
[8,9,1,5,6,7,4,3,2]=>00000000=>9
[8,9,1,6,7,4,5,2,3]=>00000000=>9
[8,9,1,6,7,4,5,3,2]=>00000000=>9
[8,9,1,6,7,5,4,3,2]=>00000000=>9
[9,1,7,8,5,6,3,4,2]=>00000000=>9
[9,1,7,8,5,6,4,3,2]=>00000000=>9
[5,6,7,8,9,10,1,3,4,2]=>000000000=>10
[5,6,7,8,9,10,1,4,3,2]=>000000000=>10
[7,8,9,10,1,4,5,6,2,3]=>000000000=>10
[7,8,9,10,1,4,5,6,3,2]=>000000000=>10
[7,8,9,10,1,5,6,4,3,2]=>000000000=>10
[7,8,9,10,1,6,5,4,3,2]=>000000000=>10
[8,9,10,1,4,5,6,7,2,3]=>000000000=>10
[8,9,10,1,4,5,6,7,3,2]=>000000000=>10
[8,9,10,1,5,6,7,2,3,4]=>000000000=>10
[8,9,10,1,5,6,7,4,3,2]=>000000000=>10
[8,9,10,1,6,7,4,5,2,3]=>000000000=>10
[8,9,10,1,6,7,4,5,3,2]=>000000000=>10
[8,9,10,1,6,7,5,4,3,2]=>000000000=>10
[8,9,10,1,7,6,5,4,3,2]=>000000000=>10
[9,10,1,6,7,8,3,4,5,2]=>000000000=>10
[9,10,1,6,7,8,4,5,2,3]=>000000000=>10
[9,10,1,6,7,8,4,5,3,2]=>000000000=>10
[9,10,1,6,7,8,5,4,3,2]=>000000000=>10
[9,10,1,7,8,5,6,3,4,2]=>000000000=>10
[9,10,1,7,8,5,6,4,3,2]=>000000000=>10
[9,10,1,7,8,6,5,4,3,2]=>000000000=>10
[10,1,8,9,6,7,4,5,3,2]=>000000000=>10
[10,1,8,9,6,7,5,4,3,2]=>000000000=>10
[10,1,8,9,7,6,5,4,3,2]=>000000000=>10
[8,3,1,2,5,4,7,6]=>0000000=>8
[8,1,5,3,7,4,2,6]=>0000000=>8
[1,2,6,7,8,3,5,4]=>1100000=>1
[1,2,4,8,6,7,3,5]=>1100000=>1
[8,1,2,6,5,7,3,4]=>0000000=>8
[7,1,2,6,5,8,3,4]=>0000000=>8
[2,6,1,4,7,5,8,3]=>0000000=>8
[3,1,5,7,2,6,8,4]=>0000000=>8
[3,1,7,5,2,6,8,4]=>0000000=>8
[3,2,7,5,1,6,8,4]=>0000000=>8
[5,2,7,3,1,6,8,4]=>0000000=>8
[6,7,2,1,3,4,8,5]=>0000000=>8
[4,6,3,1,2,7,8,5]=>0000000=>8
[2,3,4,5,7,9,6,8,1]=>00000000=>9
[2,3,4,6,9,5,7,8,1]=>00000000=>9
[2,3,5,6,8,4,7,1]=>0000000=>8
[2,3,5,9,4,6,7,8,1]=>00000000=>9
[2,4,5,8,3,6,7,1]=>0000000=>8
[2,4,9,3,5,6,7,8,1]=>00000000=>9
[8,1,4,3,6,2,5,7]=>0000000=>8
[1,6,3,7,8,4,2,5]=>1000000=>1
[5,2,1,3,8,4,6,7]=>0000000=>8
[1,4,3,5,8,2,6,7]=>1000000=>1
[2,1,3,8,6,4,5,7]=>0110000=>2
[1,3,6,4,5,8,2,7]=>1000000=>1
[6,1,4,3,5,8,2,7]=>0000000=>8
[6,5,1,3,8,2,4,7]=>0000000=>8
[1,4,3,8,6,2,5,7]=>1000000=>1
[4,1,3,8,6,2,5,7]=>0000000=>8
[6,4,7,8,3,5,1,2]=>0000000=>8
[3,5,6,7,1,8,4,2]=>0000000=>8
[3,5,2,4,8,6,7,1]=>0000000=>8
[3,7,6,1,4,8,5,2]=>0000000=>8
[8,4,7,1,5,6,2,3]=>0000000=>8
[2,3,4,5,6,1,8,9,7]=>00000100=>6
[2,3,4,5,1,7,8,9,6]=>00001000=>5
[2,6,3,1,4,7,8,5]=>0000000=>8
[2,9,3,4,5,6,1,7,8]=>00000000=>9
[2,3,4,5,6,7,1,9,10,8]=>000000100=>7
[2,7,3,4,1,8,5,6]=>0000000=>8
[2,8,3,4,5,1,6,9,7]=>00000000=>9
[2,7,3,4,1,5,8,9,6]=>00000000=>9
[2,3,4,5,1,7,8,9,10,6]=>000010000=>5
[2,6,3,1,4,7,8,9,5]=>00000000=>9
[2,3,1,5,6,7,8,9,10,4]=>001000000=>3
[8,6,4,5,1,3,7,2]=>0000000=>8
[7,4,8,5,3,6,1,2]=>0000000=>8
[8,4,6,5,1,3,7,2]=>0000000=>8
[4,5,3,8,7,1,2,6]=>0000000=>8
[8,5,4,7,6,1,2,3]=>0000000=>8
[2,3,7,8,1,4,6,5]=>0000000=>8
[8,2,3,5,4,1,7,6]=>0000000=>8
[7,1,3,8,2,4,6,5]=>0000000=>8
[7,2,3,6,4,1,8,5]=>0000000=>8
[6,5,2,4,1,8,3,7]=>0000000=>8
[5,7,2,4,1,3,8,6]=>0000000=>8
[6,2,5,4,1,8,3,7]=>0000000=>8
[4,2,5,3,7,6,9,8,1]=>00000000=>9
[4,2,6,3,7,5,9,8,1]=>00000000=>9
[4,2,6,3,8,5,9,7,1]=>00000000=>9
[4,2,6,3,8,5,1,7,9]=>00000001=>8
[4,2,6,3,5,8,1,7]=>0000000=>8
[4,2,6,3,8,5,7,1,9]=>00000001=>8
[4,2,6,3,5,8,7,1,9]=>00000001=>8
[4,2,3,6,5,8,7,1,9]=>00000001=>8
[4,2,5,3,7,6,9,8,1,10]=>000000001=>9
[5,2,6,3,7,4,9,8,1]=>00000000=>9
[4,2,6,3,7,5,9,8,1,10]=>000000001=>9
[4,2,7,3,8,5,9,6,1]=>00000000=>9
[4,2,6,3,8,5,9,7,1,10]=>000000001=>9
[4,2,6,3,9,5,1,7,8]=>00000000=>9
[4,2,6,3,8,5,10,7,1,9]=>000000000=>10
[4,2,6,3,8,5,7,9,1]=>00000000=>9
[4,2,6,3,8,5,10,7,9,1]=>000000000=>10
[4,2,6,3,5,8,1,7,9]=>00000001=>8
[4,2,6,3,8,5,7,10,9,1]=>000000000=>10
[4,2,3,6,8,5,7,1,9]=>00000001=>8
[4,2,6,3,5,8,7,10,9,1]=>000000000=>10
[2,4,6,3,5,8,7,1,9]=>00000001=>8
[4,2,3,6,5,8,7,10,9,1]=>000000000=>10
[1,8,5,4,2,6,3,7]=>1000000=>1
[3,4,5,6,9,2,1,8,7]=>00000000=>9
[3,4,5,8,2,9,1,7,6]=>00000000=>9
[3,4,7,2,8,9,1,5,6]=>00000000=>9
[3,6,2,7,8,9,1,5,4]=>00000000=>9
[5,2,6,7,8,9,1,4,3]=>00000000=>9
[3,4,5,6,7,8,9,11,1,10,2]=>0000000000=>11
[3,4,5,6,9,1,7,8,2]=>00000000=>9
[3,4,5,6,7,10,2,1,9,8]=>000000000=>10
[3,4,5,6,7,8,10,11,1,9,2]=>0000000000=>11
[3,4,5,8,9,6,1,7,2]=>00000000=>9
[3,4,5,6,9,2,10,1,8,7]=>000000000=>10
[3,4,7,8,5,9,1,2,6]=>00000000=>9
[3,4,5,9,2,6,1,8,7]=>00000000=>9
[3,4,5,8,2,9,10,1,6,7]=>000000000=>10
[3,4,5,6,8,9,10,11,1,7,2]=>0000000000=>11
[3,6,7,4,8,9,1,5,2]=>00000000=>9
[3,4,8,2,5,9,1,7,6]=>00000000=>9
[3,4,7,2,8,9,10,1,6,5]=>000000000=>10
[3,4,5,7,8,9,10,11,1,6,2]=>0000000000=>11
[5,6,3,7,8,9,1,4,2]=>00000000=>9
[3,7,2,4,8,9,1,5,6]=>00000000=>9
[3,6,2,7,8,9,10,1,5,4]=>000000000=>10
[6,2,3,7,8,9,1,5,4]=>00000000=>9
[5,2,6,7,8,9,10,1,3,4]=>000000000=>10
[3,5,6,7,8,9,10,11,1,4,2]=>0000000000=>11
[4,5,6,7,8,9,10,11,1,3,2]=>0000000000=>11
[1,3,2,4,5,6,9,7,8]=>10111100=>1
[2,3,1,4,5,6,9,7,8]=>00111100=>3
[6,2,5,7,4,1,8,3]=>0000000=>8
[3,6,1,8,7,4,5,2]=>0000000=>8
[5,3,2,7,6,4,1,8]=>0000001=>7
[5,3,7,4,6,2,1,8]=>0000001=>7
[5,7,3,2,1,8,6,4]=>0000000=>8
[5,7,6,3,2,1,8,4]=>0000000=>8
[3,2,7,5,4,1,8,6]=>0000000=>8
[1,7,3,5,4,2,6,8]=>1000001=>1
[5,3,7,4,1,8,6,2]=>0000000=>8
[7,3,5,4,1,6,8,2]=>0000000=>8
[7,5,1,6,8,3,2,4]=>0000000=>8
[5,3,1,7,6,8,2,4]=>0000000=>8
[7,1,5,3,2,4,8,6]=>0000000=>8
[5,6,7,8,9,3,2,1,4]=>00000000=>9
[6,7,8,9,3,4,1,2,5]=>00000000=>9
[6,7,8,9,3,4,2,1,5]=>00000000=>9
[7,8,9,3,4,5,1,2,6]=>00000000=>9
[7,8,9,3,4,5,2,1,6]=>00000000=>9
[7,8,9,4,5,2,3,1,6]=>00000000=>9
[7,8,9,4,5,3,2,1,6]=>00000000=>9
[8,9,4,5,6,2,3,1,7]=>00000000=>9
[8,9,4,5,6,3,2,1,7]=>00000000=>9
[8,9,5,6,3,4,1,2,7]=>00000000=>9
[8,9,5,6,3,4,2,1,7]=>00000000=>9
[8,9,5,6,4,3,2,1,7]=>00000000=>9
[9,6,7,4,5,3,2,1,8]=>00000000=>9
[5,6,7,8,9,10,3,2,1,4]=>000000000=>10
[7,8,9,10,3,4,5,1,2,6]=>000000000=>10
[7,8,9,10,3,4,5,2,1,6]=>000000000=>10
[7,8,9,10,4,5,2,3,1,6]=>000000000=>10
[7,8,9,10,4,5,3,2,1,6]=>000000000=>10
[7,8,9,10,5,4,3,2,1,6]=>000000000=>10
[8,9,10,3,4,5,6,1,2,7]=>000000000=>10
[8,9,10,3,4,5,6,2,1,7]=>000000000=>10
[8,9,10,4,5,6,1,2,3,7]=>000000000=>10
[8,9,10,4,5,6,3,2,1,7]=>000000000=>10
[8,9,10,5,6,3,4,1,2,7]=>000000000=>10
[8,9,10,5,6,3,4,2,1,7]=>000000000=>10
[8,9,10,5,6,4,3,2,1,7]=>000000000=>10
[8,9,10,6,5,4,3,2,1,7]=>000000000=>10
[9,10,5,6,7,2,3,4,1,8]=>000000000=>10
[9,10,5,6,7,3,4,1,2,8]=>000000000=>10
[9,10,5,6,7,3,4,2,1,8]=>000000000=>10
[9,10,5,6,7,4,3,2,1,8]=>000000000=>10
[9,10,6,7,4,5,3,2,1,8]=>000000000=>10
[9,10,6,7,5,4,3,2,1,8]=>000000000=>10
[9,10,7,6,5,4,3,2,1,8]=>000000000=>10
[10,7,8,5,6,3,4,2,1,9]=>000000000=>10
[10,7,8,5,6,4,3,2,1,9]=>000000000=>10
[10,7,8,6,5,4,3,2,1,9]=>000000000=>10
[1,8,3,6,2,4,7,5]=>1000000=>1
[1,8,7,5,6,4,2,3]=>1000000=>1
[6,8,2,1,5,4,3,7]=>0000000=>8
[6,3,2,1,5,8,4,7]=>0000000=>8
[4,3,5,6,2,8,1,7]=>0000000=>8
[6,3,5,2,7,8,4,1]=>0000000=>8
[4,5,3,1,6,8,2,7]=>0000000=>8
[3,4,6,7,5,1,8,2]=>0000000=>8
[7,4,1,2,5,6,8,3]=>0000000=>8
[4,8,2,6,7,1,5,3]=>0000000=>8
[9,7,1,8,2,3,4,5,6]=>00000000=>9
[9,6,1,7,2,8,3,4,5]=>00000000=>9
[8,6,1,9,7,2,3,4,5]=>00000000=>9
[9,8,6,1,7,2,3,4,5]=>00000000=>9
[8,5,1,9,6,2,7,3,4]=>00000000=>9
[9,8,5,1,6,2,7,3,4]=>00000000=>9
[9,7,5,1,8,6,2,3,4]=>00000000=>9
[9,8,7,5,1,6,2,3,4]=>00000000=>9
[9,7,4,1,8,5,2,6,3]=>00000000=>9
[9,8,7,4,1,5,2,6,3]=>00000000=>9
[8,6,4,1,9,7,5,2,3]=>00000000=>9
[9,8,6,4,1,7,5,2,3]=>00000000=>9
[9,8,7,6,4,1,5,2,3]=>00000000=>9
[9,8,7,5,3,1,6,4,2]=>00000000=>9
[10,7,1,8,2,9,3,4,5,6]=>000000000=>10
[9,7,1,10,8,2,3,4,5,6]=>000000000=>10
[10,9,7,1,8,2,3,4,5,6]=>000000000=>10
[10,6,1,7,2,8,3,9,4,5]=>000000000=>10
[9,6,1,10,7,2,8,3,4,5]=>000000000=>10
[10,9,6,1,7,2,8,3,4,5]=>000000000=>10
[10,8,6,1,9,7,2,3,4,5]=>000000000=>10
[10,9,8,6,1,7,2,3,4,5]=>000000000=>10
[9,5,1,10,6,2,7,3,8,4]=>000000000=>10
[10,9,5,1,6,2,7,3,8,4]=>000000000=>10
[8,5,1,9,6,2,10,7,3,4]=>000000000=>10
[10,8,5,1,9,6,2,7,3,4]=>000000000=>10
[10,9,8,5,1,6,2,7,3,4]=>000000000=>10
[9,7,5,1,10,8,6,2,3,4]=>000000000=>10
[10,9,7,5,1,8,6,2,3,4]=>000000000=>10
[10,9,8,7,5,1,6,2,3,4]=>000000000=>10
[9,7,4,1,10,8,5,2,6,3]=>000000000=>10
[10,9,7,4,1,8,5,2,6,3]=>000000000=>10
[10,9,8,7,4,1,5,2,6,3]=>000000000=>10
[10,8,6,4,1,9,7,5,2,3]=>000000000=>10
[10,9,8,6,4,1,7,5,2,3]=>000000000=>10
[10,9,8,7,6,4,1,5,2,3]=>000000000=>10
[10,9,7,5,3,1,8,6,4,2]=>000000000=>10
[10,9,8,7,5,3,1,6,4,2]=>000000000=>10
[10,9,8,7,6,5,3,1,4,2]=>000000000=>10
[1,5,2,4,7,6,8,3]=>1000000=>1
[1,4,3,6,5,8,7,9,2]=>10000000=>1
[1,4,2,6,5,8,7,9,3]=>10000000=>1
[1,5,2,6,4,8,7,9,3]=>10000000=>1
[1,5,2,7,4,8,6,9,3]=>10000000=>1
[1,5,2,7,4,9,6,8,3]=>10000000=>1
[1,5,2,7,4,6,9,8,3]=>10000000=>1
[1,5,2,4,7,6,9,8,3]=>10000000=>1
[1,2,5,4,7,6,9,8,3]=>11000000=>1
[1,4,2,6,5,8,7,10,9,3]=>100000000=>1
[1,5,2,6,3,8,7,9,4]=>10000000=>1
[1,5,2,6,4,8,7,10,9,3]=>100000000=>1
[1,6,2,7,4,8,5,9,3]=>10000000=>1
[1,5,2,7,4,8,6,10,9,3]=>100000000=>1
[1,5,2,8,4,9,6,7,3]=>10000000=>1
[1,5,2,7,4,9,6,10,8,3]=>100000000=>1
[1,5,2,7,4,6,8,9,3]=>10000000=>1
[1,5,2,7,4,9,6,8,10,3]=>100000000=>1
[1,5,2,4,7,9,6,8,3]=>10000000=>1
[1,5,2,7,4,6,9,8,10,3]=>100000000=>1
[1,2,5,7,4,6,9,8,3]=>11000000=>1
[1,5,2,4,7,6,9,8,10,3]=>100000000=>1
[1,2,5,4,7,6,9,8,10,3]=>110000000=>1
[3,4,5,6,8,9,7,1,2]=>00000000=>9
[3,4,5,7,8,9,6,1,2]=>00000000=>9
[3,5,6,7,8,9,4,1,2]=>00000000=>9
[4,5,6,7,8,9,3,1,2]=>00000000=>9
[3,4,5,6,7,9,10,8,1,2]=>000000000=>10
[3,4,5,8,1,9,7,6,2]=>00000000=>9
[3,4,5,6,8,9,10,7,1,2]=>000000000=>10
[3,4,7,1,8,9,6,5,2]=>00000000=>9
[3,6,1,7,8,9,4,5,2]=>00000000=>9
[3,4,6,7,8,9,10,5,1,2]=>000000000=>10
[5,1,6,7,8,9,4,3,2]=>00000000=>9
[3,5,6,7,8,9,10,4,1,2]=>000000000=>10
[1,5,6,7,8,9,3,2,4]=>10000000=>1
[3,4,5,6,7,10,1,8,9,2]=>000000000=>10
[3,4,5,6,7,8,10,11,9,1,2]=>0000000000=>11
[3,4,5,8,9,6,7,1,2]=>00000000=>9
[3,4,5,6,9,1,10,8,7,2]=>000000000=>10
[3,4,5,6,7,9,10,11,8,1,2]=>0000000000=>11
[3,4,7,8,5,9,6,1,2]=>00000000=>9
[3,4,5,9,1,6,7,8,2]=>00000000=>9
[3,4,5,8,1,9,10,7,6,2]=>000000000=>10
[3,4,8,1,5,9,7,6,2]=>00000000=>9
[3,4,7,1,8,9,10,5,6,2]=>000000000=>10
[3,4,5,7,8,9,10,11,6,1,2]=>0000000000=>11
[5,6,3,7,8,9,4,1,2]=>00000000=>9
[3,7,8,4,5,6,1,2]=>0000000=>8
[3,7,1,4,8,9,6,5,2]=>00000000=>9
[3,6,1,7,8,9,10,5,4,2]=>000000000=>10
[3,4,6,7,8,9,10,11,5,1,2]=>0000000000=>11
[5,2,6,7,8,9,3,1,4]=>00000000=>9
[6,1,3,7,8,9,4,5,2]=>00000000=>9
[5,1,6,7,8,9,10,4,3,2]=>000000000=>10
[1,2,6,7,8,9,4,3,5]=>11000000=>1
[4,5,6,7,8,9,10,11,3,1,2]=>0000000000=>11
[4,5,6,7,8,9,10,11,2,1,3]=>0000000000=>11
[3,7,5,6,4,2,8,1]=>0000000=>8
[5,2,3,8,6,1,4,7]=>0000000=>8
[1,4,3,8,5,6,2,7]=>1000000=>1
[7,8,2,6,4,3,5,1]=>0000000=>8
[4,5,8,7,2,3,6,1]=>0000000=>8
[7,8,6,1,4,2,5,3]=>0000000=>8
[8,3,6,5,2,7,1,4]=>0000000=>8
[5,1,3,6,4,2,7,8]=>0000011=>6
[6,1,2,4,7,5,3,8]=>0000001=>7
[6,4,5,1,8,7,3,2]=>0000000=>8
[8,6,2,1,7,3,5,4]=>0000000=>8
[7,8,6,1,4,3,5,2]=>0000000=>8
[1,2,3,4,8,5,9,6,7]=>11110000=>1
[1,2,3,4,5,8,6,9,7,10]=>111110001=>1
[1,2,3,7,4,5,8,6,9]=>11100001=>1
[1,2,3,4,8,6,5,7,9]=>11110001=>1
[1,2,3,4,9,7,5,6,8]=>11110000=>1
[1,2,3,4,5,9,6,10,7,8]=>111110000=>1
[8,2,6,5,1,7,4,3]=>0000000=>8
[7,6,4,1,2,5,8,3]=>0000000=>8
[2,6,5,4,8,7,1,3]=>0000000=>8
[5,6,7,1,3,2,4,8]=>0000001=>7
[7,1,8,4,3,2,6,5]=>0000000=>8
[1,8,5,2,7,6,4,3]=>1000000=>1
[1,7,6,8,2,5,4,3]=>1000000=>1
[1,7,8,6,2,5,4,3]=>1000000=>1
[1,6,3,4,2,5,8,7]=>1000010=>1
[1,5,7,6,2,3,8,4]=>1000000=>1
[1,4,3,7,6,2,5,8]=>1000001=>1
[1,3,7,4,6,8,5,2]=>1000000=>1
[3,7,4,6,8,1,5,2]=>0000000=>8
[5,6,1,4,3,8,7,2]=>0000000=>8
[5,8,6,4,3,1,7,2]=>0000000=>8
[4,1,3,7,8,6,5,2]=>0000000=>8
                    
search for individual values
searching the database for the individual values of this statistic
/ search for generating function
searching the database for statistics with the same generating function
click to show known generating functions
$F_{2} = q + q^{2}$
$F_{3} = 2\ q + q^{2} + 3\ q^{3}$
$F_{4} = 6\ q + 2\ q^{2} + 3\ q^{3} + 13\ q^{4}$
$F_{5} = 24\ q + 6\ q^{2} + 6\ q^{3} + 13\ q^{4} + 71\ q^{5}$
$F_{6} = 120\ q + 24\ q^{2} + 18\ q^{3} + 26\ q^{4} + 71\ q^{5} + 461\ q^{6}$
$F_{7} = 720\ q + 120\ q^{2} + 72\ q^{3} + 78\ q^{4} + 142\ q^{5} + 461\ q^{6} + 3447\ q^{7}$
Description
The position of the first one in a binary word after appending a 1 at the end.
Regarding the binary word as a subset of
$\{1,\dots,n,n+1\}$ that contains
$n+1$ , this is the minimal element of the set.
Map
connectivity set
Description
The connectivity set of a permutation as a binary word.
According to [2], also known as the global ascent set.
The connectivity set is
$C(\pi)=\{i\in [n-1] | \forall 1 \leq j \leq i < k \leq n : \pi(j) < \pi(k)\}.$
For
$n > 1$ it can also be described as the set of occurrences of the mesh pattern
$([1,2], \{(0,2),(1,0),(1,1),(2,0),(2,1) \})$
or equivalently
$([1,2], \{(0,1),(0,2),(1,1),(1,2),(2,0) \}),$
see [3].
The permutation is connected, when the connectivity set is empty.