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 <bits/stdc++.h>
using namespace std;
#define rep(i, n) for(int i = 0; i < (int)n; i++)
#define debug(x)      cerr << "L" << __LINE__ << ": " << #x << " = " << (x) << endl
#define debugvec(v)   rep(i, v.size()) cerr << "L" << __LINE__ << ": " << #v << "[" << i << "] = " << v[i] << endl;
#define debugvec2(v)  cerr << "L" << __LINE__ << ": " << #v << " = { "; rep(i, v.size()) cerr << v[i] << (i + 1 == v.size() ? "" : ", "); cerr << " }" << endl;
typedef long long ll;  /* 10^18 くらいまでいける */

int main(){
  int n, a, b;
  cin >> n >> a >> b;
  cout << min(n*a, b) << endl;

  return 0;
}