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 Java8 (OpenJDK 1.8.0) (judge verdict: Wrong Answer)

import java.util.Scanner;

public class Main {

	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		//String s = sc.next();
		//String t = sc.next();
		long n = sc.nextLong();
		long m = sc.nextLong();
		long k = sc.nextLong();
		//long count=0;

		/*for(int i=0;i<3;i++) {
			if(s.substring(i,i+1).equals(s.substring(i+1,i+2))) {
				count++;
			}else if(i!=2){
				count=0;
			}
		}*/
		if(n*m>=k) {
			System.out.println(n*m);
		}else{
			System.out.println(k);
		}
		//System.out.println(count);
	}
}