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;
using ll = long long;

int gcd(int a, int b) { return (b == 0) ? a : gcd(b, a % b); }

#define CIN(T, x) T x; cin >> x;
#define CINS(T, x, N) vector<T> x(N); for(int i = 0; i < (N); i++) { cin >> x[i]; }
#define SHOW(x) for(int i = 0; i < x.size(); i++) { cout << x[i] << " "; } cout << "\n";
#define SHOW2(x) for(int j = 0; j < x.size(); j++) { SHOW(x[j]); } cout << "\n";


int main() {

    CIN(int, N);
    CIN(int, A);
    CIN(int, B);

    cout << min(N*A,B) << "\n";
    return 0;
}