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 <iostream>
#include <vector>
#include <algorithm>
#include <map>
using namespace std;

typedef signed long long ll;
typedef long double ld;

#define rep(i,n) for(int i = 0; i < (n); i++)
#define all(x) x.begin(),x.end()

#define DEBUG

int main()
{
	int n, a, b;
	cin >> n >> a >> b;

	int ans;
	ans = a * n;

	if(ans < b)
	{
		cout << ans << endl;
	}
	else
	{
		cout << b << endl;
	}

	return 0;
}