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 <math.h>
#include <map>
#include <vector>
#include <tuple>
#include <algorithm>
using namespace std;
#define lli long long int
#define vi vector<int>
#define vlli vector<lli>
#define pii pair<int, int>
#define plli pair <lli, lli>
#define F(i,n) for(lli (i)=0;(i)<(n);(i)++)
#define FR(i,n) for(lli (i)=(n)-1;(i)>=0;(i)--)
#define FSG(i,a,b) for(lli (i)=(a);(i)<(b);(i)++)
#define FSGR(i,a,b) for(lli (i)=(b)-1;(i)>=(a);(i)--)
#define VAL(n) cout << n << endl;
#define VALD(n) cout << #n << ": " << n << endl;

int main(){
  int N, A, B;
  cin >> N >> A >> B;
  int pay = min(N*A, B);
  cout << pay << endl;
  return 0;
}