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 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <stdio.h>
 
int main()
{
    int l, r;
    // int i, j;
    long i, j;
    long ijmod;
    long min =2019;
 
    char buf[256];
    fgets(buf, 256, stdin);
    sscanf(buf, "%d %d", &l, &r);
 
    if((r -l)/673 >= 1){ //2019 = 673 / 3
        // printf("673 must included.\n");
        printf("%d", 0);
    }else{
        for (i = l; i <= r-1; i++){
            for (j = i+1; j <= r; j++){
                // ijmod = ((long)i * j) % 2019;
                ijmod = (i * j) % 2019;
                if (min > ijmod){
                    // printf("i = %d j = %d : change %d -> %ld\n", i, j ,min, ijmod);
                    min = ijmod;
                }
            }
        }
        printf("%d", min);
    }
    // printf("%ld", min);
 
}