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 mp make_pair
#define fi first
#define se second
#define pb push_back
#define sz(x) ((int)(x).size())
#define whole(x) (x).begin(), (x).end()
 
typedef long long ll;
typedef unsigned long long ull;
typedef long double ld;
typedef pair < int, int > pii;
typedef pair < ll, ll > pll;
 
const int N = int(2e5) + 2;
const int LG = 20;
const ll mod = (int)1e9 + 7;
const int INF = (int)1e9 + 7;
const ll linf = 1e18; 
const ld pi = acos(-1);
const int base = 10;
const ld EPS = 1e-9;

int n, a, b;
int main (){
    scanf ("%d %d %d", &n, &a, &b);
    printf ("%d\n", min(n * a, b));
}