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                 int long long
#define                 pb push_back
#define                 mp make_pair
#define st(arr,a)       memset(arr,a,sizeof arr)
#define                 nl cout<<endl
#define                 real signed
#define                 endl '\n'              
#define bitcount(x)     __builtin_popcountll(x)
const int MOD = 1000000007ll;
#define forn(i,a,b)     for(int i=a;i<=b;i++)
#define rfor(i,a,b)     for(int i=a;i>=b;i--)
#define all(x)          x.begin() , x.end()
#define pi pair<int,int>
#define X first
#define Y second
#define N 1014159
#define  vi vector<int>
#define  v  vector




signed solve()
{
    int n,a,b;
    cin>>n>>a>>b;
    cout<<min(n*a,b);
}


signed main() 
{
    ios_base::sync_with_stdio(false); cin.tie(NULL); cout.tie(NULL); 
    int t = 1;
    //cin>>t;
    while(t--)
    {
        solve();
    }



    return 0;

}

//       g++ -g c.cpp ; ./a.exe