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 sc = new Scanner(System.in);
      	int a = sc.nextInt();
      	int b = sc.nextInt();
      	long min = Integer.MAX_VALUE;
      	sc.close();
      	if(b - a >= 2019){
        	System.out.print(0);
        }
      	else{
      	for(long i = a; i < b; i ++){
          	for(long j = i + 1; j <= b; j ++){
            	if(min > ((i * j) % 2019)){
                	min = (i * j) % 2019;
                }
              	if(min == 0){
                	break;
                }
            }
        }
          System.out.print(min);
        }
      	
      	
    }
 
}