UVA 10970 - Big Chocolate Amirkabir University of Technology - Local Contest - Round #2 G

Problem G

Big Chocolate

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 rectangle constructed from unit-sized squares. You can assume that Mohammad has also 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 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.

[align=center] [/align]
Figure 1. Mohammad’s chocolate

The Input

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

The 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

Amirkabir University of Technology - Local Contest - Round #2

题意：m*n的巧克力，需要切多少刀才能切成1*1的方块，以刀不能切两块巧克力。

试几组数据就能发现规律。。。

#include <cstdio>
#include <vector>
#include <algorithm>
#include <cstring>
#include <map>
#include <queue>
#include <set>

using namespace std;

#ifdef WIN
typedef __int64 LL;
#define form "%I64d\n"
#else
typedef long long LL;
#define form "%lld\n"
#endif

#define SI(a) scanf("%d", &(a))
#define SDI(a, b) scanf("%d%d", &(a), &(b))
#define S64I scanf(form, &a)
#define SS(a) scanf("%s", (a))
#define SC(a) scanf("%c", &(a))
#define PI(a) printf("%d\n", a)
#define PS(a) puts(a)
#define P64I(a) printf(form, a)
#define Max(a, b) (a > b ? a : b)
#define Min(a, b) (a < b ? a : b)
#define MSET(a, b) (memset(a, b, sizeof(a)))
#define Mid(L, R) (L + (R - L)/2)
#define Abs(a) (a > 0 ? a : -a)
#define REP(i, n) for(int i=0; i < (n); i++)
#define FOR(i, a, n) for(int i=(a); i <= (n); i++)
const int INF = 0x3f3f3f3f;

int main() {
int n, m;

while(SDI(n, m) == 2)
PI(n*m-1);

return 0;
}