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<bits/stdc++.h>
#define fori(j,n) for(long long  i=j;i<n;i++)
#define pb push_back
#define ss string
#define ll long long
#define li  long
#include<string.h>
#define pf printf
#define sf scanf
bool isvowel(char s){ if(s=='a'||s=='A'||s=='e'||s=='E'||s=='i'||s=='I'||s=='o'||s=='O'||s=='u'||s=='U') return true;  else  return false;}
 ll fact(ll  n){ll mul=1;for(ll i=1;i<=n;i++)mul=mul*i;return mul;}
ll gcd(ll m,ll n){while(n!=0){ll r=m%n;m=n;n=r;}return m;}
using namespace std;
bool sortas(const pair<ll,ll> &a,const pair<ll,ll> &b){return a.second<b.second;}


 int main(){

    int n;
    cin>>n;

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