DZY Loves Balls

Accepts: 371
Submissions: 988
Time Limit: 2000/1000 MS (Java/Others)
Memory Limit: 65536/65536 K (Java/Others)
Problem Description
There are $n$ black balls and $m$ white balls in the big box. Now, DZY starts to randomly pick out the balls one by one. It forms a sequence $S$. If at the $i$-th operation, DZY takes out the black ball, $S_i=1$, otherwise $S_i=0$. DZY wants to know the expected times that '01' occurs in $S$.
Input
The input consists several test cases. ($TestCase\leq 150$) The first line contains two integers, $n$, $m(1\leq n,m\leq 12)$
Output
For each case, output the corresponding result, the format is $p/q$($p$ and $q$ are coprime)
Sample Input
1 1
2 3
Sample Output
1/2
6/5
Hint
Case 1: S='01' or S='10', so the expected times = 1/2 = 1/2 Case 2: S='00011' or S='00101' or S='00110' or S='01001' or S='01010' or S='01100' or S='10001' or S='10010' or S='10100' or S='11000', so the expected times = (1+2+1+2+2+1+1+1+1+0)/10 = 12/10 = 6/5