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++ (GCC 5.4.1) (judge verdict: Accepted)

#include <bits/stdc++.h>
# define ALL(x) (x).begin(), (x).end()
# define SZ(x) ((int)(x).size)
# define INF 1000000007

using namespace std;
typedef long long int ll;
typedef unsigned int uint;
typedef unsigned char uchar;
typedef unsigned long long ull;

template<class T> bool chmax(T &a, const T &b) { if (a<b) { a=b; return 1; } return 0; }
template<class T> bool chmin(T &a, const T &b) { if (a>b) { a=b; return 1; } return 0; }
int GCD(int a, int b) { return b ? GCD(b, a%b) : a; }

ll combination(ll a, ll b) {
    ll aa = 1;
    ll bb = 1;
    for (int i = 0; i < b; i++) {
        aa *= (a - i);
        bb *= (i + 1);
    }
    return aa / bb;
}

int main()
{
    int N, A, B;
    cin >> N >> A >> B;
    if (N * A < B) {
        cout << N * A << endl;
    } else {
        cout << B << endl;
    }

    return 0;
}