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: Runtime Error)

import java.util.*;
public class Main{
    
    public static void main(String[] args){
        Scanner sc = new Scanner(System.in);
        int N;
        int[] L = new int[200];
        int dmin = 100;
        N = sc.nextInt();
        for (int i = 0; i < N; ++i) {
            int A;
            A = sc.nextInt();
            int d = 0;
            while (A % 2 == 0) {
                A /= 2;
                ++d;
            }
        	dmin = Math.min(dmin, d);
        }
        System.out.println(dmin);
    }
}