Problems
Dice Throwing
Dice Throwing
\textbf{n} common cubic dice are thrown. What is the probability that the sum of all thrown dice is at least \textbf{x}?
\InputFile
The input file contains several test cases. Each test case consists two integers \textbf{n} (\textbf{1} ≤ \textbf{n} ≤ \textbf{24}) and \textbf{x} (\textbf{0} ≤ \textbf{x} < \textbf{150}). The meanings of \textbf{n} and \textbf{x} are given in the problem statement. Input is terminated by a case where \textbf{n=0} and \textbf{x=0}. This case should not be processed.
\OutputFile
For each line of input produce one line of output giving the requested probability as a proper fraction in lowest terms in the format shown in the sample output. All numbers appearing in output are representable in unsigned \textbf{64}-bit integers.
Input example #1
3 9 1 7 24 24 15 76 24 56 24 143 23 81 7 38 0 0
Output example #1
20/27 0 1 11703055/78364164096 789532654692658645/789730223053602816 25/4738381338321616896 1/2 55/46656