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.Map;
import java.util.Scanner;

public class Main {

    /**
     * 本処理を実行します。
     */
    public static void execute() {
        Scanner sc = new Scanner(System.in);

        int n = nextInt(sc);
        int a = nextInt(sc);
        int b = nextInt(sc);

        int na = n * a;

        if (na < b) {
            out(na);
        } else {
            out(b);
        }
    }

    /**
     * 次の標準入力をintで受け取ります。
     * @return 標準入力値(int)
     */
    public static int nextInt(Scanner sc) {
        return sc.nextInt();
    }

    /**
     * 次の標準入力をStringで受け取ります。
     * @return 標準入力値(String)
     */
    public static String nextString(Scanner sc) {
        return sc.next();
    }

    /**
     * 次の標準入力を指定回数分intで受け取ります。
     * @param n 取得回数
     * @return 取得した標準入力値の配列(int)
     */
    public static int[] nextInts(Scanner sc, int n) {
        int[] arr = new int[n];

        for (int i = 0; i < n; i++) {
            arr[i] = nextInt(sc);
        }

        return arr;
    }

    /**
     * 標準出力にオブジェクトを出力します。
     * @param o 出力対象
     */
    public static void out(Object o) {
        System.out.println(o);
    }

    public static void main(String[] args) {
        execute();
    }

    public static void putCountMap(Map<Integer, Integer> map, int value) {
        if (map.containsKey(value)) {
            map.put(value, map.get(value) + 1);
        } else {
            map.put(value, 1);
        }
    }
}