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 C (Clang 3.8.0) (judge verdict: Wrong Answer)

#include <stdio.h>
#include <string.h>
#include <math.h>
int main(void){
    
    int l;
    int r;
    int id;
    int jd;
    int ans = 2018;
    int tmp;
    int loop;
    
    scanf("%d%d", &l, &r);
    
    for(int i=l; i<r; i++){
        
        loop = 0;
        
        for(int j=i+1; j<=r; j++){
            
            id = i % 2019;
            jd = j % 2019;
            
            tmp = id * jd;
            tmp %= 2019;
            
            if(tmp<ans){
                
                ans = tmp;
                
            }
            
            loop += 1;
            
            if(loop<5000){
                
                printf("%d", ans);
                
                return 0;
                
            }
            
        }
        
    }
    
    printf("%d", ans);
    
    return 0;
    
}