Problem:
Score : 100 points

Problem Statement

N of us are going on a trip, by train or taxi.

The train will cost each of us A yen (the currency of Japan).

The taxi will cost us a total of B yen.

How much is our minimum total travel expense?

Constraints

All values in input are integers.

1 \leq N \leq 20

1 \leq A \leq 50

1 \leq B \leq 50

Input

Input is given from Standard Input in the following format:

N A B

Output

Print an integer representing the minimum total travel expense.

Sample Input 1

4 2 9

Sample Output 1

8

The train will cost us 4 \times 2 = 8 yen, and the taxi will cost us 9 yen, so the minimum total travel expense is 8 yen.

Sample Input 2

4 2 7

Sample Output 2

7

Sample Input 3

4 2 8

Sample Output 3

8

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<cstdio>
#include<cstdlib>
#include<algorithm> 
#include<cmath>
#include<cstring>
using namespace std;

int getnum()
{
   char c=getchar();
   int num=0;
   while(c>'9' || c<'0') c=getchar();
   while(c<='9' && c>='0') num=num*10+c-'0',c=getchar();
   return num;
}

int main()
{
  int n,a,b;
  scanf("%d%d%d",&n,&a,&b);
  printf("%d\n",min(n*a,b));
}