Problem:
Score : 100 points

Problem Statement

You are parking at a parking lot. You can choose from the following two fee plans:

Plan 1: The fee will be A×T yen (the currency of Japan) when you park for T hours.

Plan 2: The fee will be B yen, regardless of the duration.

Find the minimum fee when you park for N hours.

Constraints

1≤N≤20

1≤A≤100

1≤B≤2000

All input values are integers.

Input

Input is given from Standard Input in the following format:

N A B

Output

When the minimum fee is x yen, print the value of x.

Sample Input 1

7 17 120

Sample Output 1

119

If you choose Plan 1, the fee will be 7×17=119 yen.

If you choose Plan 2, the fee will be 120 yen.

Thus, the minimum fee is 119 yen.

Sample Input 2

5 20 100

Sample Output 2

100

The fee might be the same in the two plans.

Sample Input 3

6 18 100

Sample Output 3

100

Solution in C++14 (GCC 5.4.1) (judge verdict: Accepted)

#include<bits/stdc++.h>
using namespace std;
#define NL            "\n"
#define _SAD()        ios::sync_with_stdio(0),cin.tie(0), cout.tie(0);
#define SZ(s)         s.size()
#define SRT(x,y)      sort(x,x+y)
#define REV(a,b)      reverse(a,a+b)
#define VSRT(x)       sort(x.begin(),x.end())
#define VREV(x)       reverse(x.begin(),x.end())
int main()
{
    _SAD()
    int a,b,c;
    cin>>a>>b>>c;
    cout<<min(a*b,c)<<NL;
    return 0;
}