2552 - Zju2253 Fill the Grid

Given an mn grid, you're required to fill it with the numbers from 1 to mn but the following rules should be satisfied:

  1. each number in grid is larger than its above;
  2. each number in grid is larger than its left.

Now, I wonder how many distinct solutions I could make on a grid. For example. Consider such a 2*3 grid, we have the following solutions:

	123  124  134  135  125
	456  356  256  246  346

Thus, the sum is 5.

输入

Two positive integer m, n (0 < m, n < 10) per line. Two zeros indicate the end of input.

输出

A single integer per line for each case -- the number of distinct solutions.

样例

输入

2 3
0 0

输出

5

提示

本题为多组数据,请做到"0 0"结束

时间限制 1 秒
内存限制 128 MB
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