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)

//Author: Rahul Purohit

#include<bits/stdc++.h>
#define vi vector<int>
#define rep(i,a,b) for(ll i=a;i<b;++i)
#define ll  long long int
#define pi pair<ll,ll>
#define f first
#define mp make_pair
#define mod 1000000007
#define s second
#define pb push_back
#define mp make_pair
using namespace std;
int gcd(int a, int b)
{
	if(b==0)
		return a;
	else
		return (b,a%b);
}
/*ll isp[N]={1};
void sieve(int n)
{
	isp[0]=isp[1]=0;
	for(int i=2;i<=n;i++)
	{
		if(isp[i]==1)
		{
			for(int j=i*i;j<=n;j+=i)
			{
				isp[j]==0;
			}
		}
	}
}*/
ll pow(int x,int  y,int m)
{
	ll ans=1;
	while(y!=0)
	{
		if(y%2==1)
		{
			ans=(ans*x)%m;
		}
		x=(x*x)%m;
		y/=2;
	}
	return ans;
}
template <class x>
void swap(x &a,x &b)
{
	x tp;
	tp=a;
	a=b;
	b=tp;
}
int main(void)
{
	ios_base::sync_with_stdio(false);
	cin.tie(0);
	
	int n,m,k;
	cin>>n>>m>>k;
	cout<<min(n*m,k);
    return 0;
}