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 <iostream>
#include <string>
#include <vector>
#include <algorithm>
#include <cmath>
#include <iomanip>
#include <cctype>
#define len length()
#define sz size()
#define rng(i, a, b) for(int i = a; i < b; i++)
#define rep(i, n) rng(i, 0, n)
#define srt(v) sort(v.begin(), v.end())
#define rev(s) reverse(s.begin(), s.end())
#define vi(a, n) vector<int> a(n)
#define vs(a, n) vector<string> a(n)
#define vc(a, n) vector<char> a(n)
#define psb(a) push_back(a)
#define ppb pop_back()
#define erc(S, i) S.erase(S.begin() + i)
#define ers(S, i, j) S.erase(S.begin() + i, S.begin() + j)
#define sp(n) cout << setprecision(n) << fixed
#define fst(s) s.at(0)
#define lst(s) s.at(s.len - 1)
typedef long long ll;
using namespace std;
int mod = 1000000007;

int main(){
    int n, a, b;
    cin >> n >> a >> b;
    cout << min(a * n,b) << endl;
    return 0;
}