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 YES cout << "YES" << endl;
#define NO  cout << "NO"  << endl;
#define Yes cout << "Yes" << endl;
#define No  cout << "No"  << endl;
 
#define INF INT_MAX
#define MOD 1000000007
#define PI  acos(-1)

using ll  = long long;
using ull = unsigned long long;
using Pii = pair<int, int>;
using Pll = pair<ll, ll>;

#define rep(i, n) for (ll i = 0; i < (n); i++)
#define rrep(i, n) for (ll i = (n)-1; i >= 0; i--)

int main(int argc, char *argv[])
{
    cin.tie(0);
    ios::sync_with_stdio(false);

    int N, A, B;
    cin >> N >> A >> B;

    if (N*A >= B) {
        cout << B << endl;
    } else {
        cout << N*A << endl;
    }
    return 0;
}