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>
#define int long long
#define P pair<int,int>
#define PP pair<P,int>
#define F first
#define S second
#define f(i,n) for(int i=0;i<(n);i++)
#define INF LLONG_MAX/3
#define eps LDBL_EPSILON
#define mod (int)(1000000007)
#define pie 3.141592653589793238462643383279
#define Bpri priority_queue
#define Spri priority_queue<P,vector<P>,greater<P>>
using namespace std;
signed main(){
	int a,b,c;
	cin>>a>>b>>c;
	cout<<min(a*b,c)<<endl;
}