Given an mn grid, you're required to fill it with the numbers from 1 to mn but the following rules should be satisfied:
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.
Two positive integer m, n (0 < m, n < 10) per line. Two zeros indicate the end of input.
A single integer per line for each case -- the number of distinct solutions.
2 3 0 0
5
本题为多组数据,请做到"0 0"结束