2015 HUAS Provincial Select Contest #1~D

本文介绍了一个有趣的问题,即如何将一块M×N的巧克力平均分成M×N份,每份为一个单位大小的巧克力块。文章给出了一个简洁的算法解决方案,并提供了一段C语言代码实现。

Mohammad has recently visited Switzerland. As he loves his friends very much, he decided to buy some chocolate for them, but as this fine chocolate is very expensive (You know Mohammad is a little BIT stingy!), he could only afford buying one chocolate, albeit a very big one (part of it can be seen in figure 1) for all of them as a souvenir. Now, he wants to give each of his friends exactly one part of this chocolate and as he believes all human beings are equal (!), he wants to split it into equal parts.

The chocolate is an M × N rectangle constructed from M × N unit-sized squares. You can assume that Mohammad has also M × N friends waiting to receive their piece of chocolate.

To split the chocolate, Mohammad can cut it in vertical or horizontal direction (through the lines that separate the squares). Then, he should do the same with each part separately until he reaches M × N unit size pieces of chocolate. Unfortunately, because he is a little lazy, he wants to use the minimum number of cuts required to accomplish this task.

Your goal is to tell him the minimum number of cuts needed to split all of the chocolate squares apart.

Input

The input consists of several test cases. In each line of input, there are two integers 1 ≤ M ≤ 300, the number of rows in the chocolate and 1 ≤ N ≤ 300, the number of columns in the chocolate. The input should be processed until end of file is encountered.

Output

For each line of input, your program should produce one line of output containing an integer indicating the minimum number of cuts needed to split the entire chocolate into unit size pieces.

Sample Input

2 2

1 1

1 5

Sample Output

3

0

4

解题思路:其实这个题目只要看下它举出的例子就大概可以猜出来了,就是将输入的两个数相乘减去1即可。

程序代码:

#include <stdio.h>
int main()
{
 int m,n;
 while(scanf("%d%d",&m,&n)!=EOF)
 {
  int t=m*n-1;
  printf("%d\n",t);
 }
 return 0;
}

转载于:https://www.cnblogs.com/chenchunhui/p/4678648.html

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