Problem Description
Cry,men,not crime------When I was a child ever, people around me told me not to tear. When I am a man now, I said to the mirror not to regret anything.
See the figure below,please calculate how many paths are there on a grid where each step of the path consists of moving one unit to the right or one unit up, which from left-down to right-up.
It is a simple problem, isn’t it ?
If you can’t solve it, please cry, although you are a man, nobody will laugh at you, it is not crime !
Input
The input contains several test cases. Each is specified by two integers n and m, denoting the size of the rectangle. As you can observe, the number of lines of the corresponding grid is one more in each dimension. Input is terminated by n=m=0.
Output
For each test case , calculate how many paths are there on a grid where each step of the path consists of moving one unit to the right or one unit up? You may safely assume that this number fits into a 32-bit unsigned integer.
Sample Input
5 4
1 1
0 0
Sample Output
126
2