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>
#ifndef LOCAL
#pragma GCC optimize(3)
#endif
#define ls (rt<<1)
#define rs (rt<<1)|1
using namespace std;
typedef long long ll;
const int inf=0x3f3f3f3f;
const int maxn=1e6+100;
const int mod=1e9+7;
char str[maxn], str2[maxn];
bitset<maxn> a, b;
int main() {
#ifdef LOCAL
    freopen("in.txt", "r", stdin);
    freopen("out.txt", "w", stdout);
#endif
    ll n, a, b;
    cin >> n >> a >> b;
    cout << min(a*n, b) << endl;
    return 0;
}