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: Accepted)

import java.util.*;
import java.io.*;

class Main {

	void solve() {

		int n = inint(), a = inint(), b = inint();
		out.println(Math.min(a*n, b));

	}

	public static Scanner in = new Scanner(System.in);
	public static PrintWriter out = new PrintWriter(System.out);

	public static void main(String[] args) {
		new Main().solve();
		out.flush();
	}

	public int inint() {
		return in.nextInt();
	}

	public long inlong() {
		return in.nextLong();
	}
	
	public String instr() {
		return in.next();
	}

	public int[] inintar(int num) {
		int[] a = new int[num];
		for (int i=0; i<num; i++) {
			a[i] = in.nextInt();
		}
		return a;
	}

	public char[] incharar() {
		return in.next().toCharArray();
	}

}