Problem:
Score : 100 points

Problem Statement

N of us are going on a trip, by train or taxi.

The train will cost each of us A yen (the currency of Japan).

The taxi will cost us a total of B yen.

How much is our minimum total travel expense?

Constraints

All values in input are integers.

1 \leq N \leq 20

1 \leq A \leq 50

1 \leq B \leq 50

Input

Input is given from Standard Input in the following format:

N A B

Output

Print an integer representing the minimum total travel expense.

Sample Input 1

4 2 9

Sample Output 1

8

The train will cost us 4 \times 2 = 8 yen, and the taxi will cost us 9 yen, so the minimum total travel expense is 8 yen.

Sample Input 2

4 2 7

Sample Output 2

7

Sample Input 3

4 2 8

Sample Output 3

8

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

import java.util.*;

public class Main {

	public static void main(String[] args) {
		Scanner scan = new Scanner(System.in);
		long L = scan.nextLong();
		long R = scan.nextLong();
		
		long min = 2019 * 2019;
		
		int Lm = (int)(L % 2019);
		int Rm = (int)(R % 2019);
		
		if(Math.abs(L - R) >= 2019) {
			Lm = 0;
			Rm = 2018;
		} else if(Lm > Rm) {
			Lm = 0;
		}
		
		for(int i = Lm; i < Rm; i++) {
			for(int j = i + 1; j <= Rm; j++) {
				if(min > i * j) {
					min = i * j;
				}
			}
		}
		
		System.out.println(min);
		scan.close();
	}

}