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(void){
int L;
int R;
int i;
int j;

0 <= L <2000000000;
0 < R <= 2000000000;


    scanf("%d",&L);
    scanf("%d",&R);

    int min = (L*R) % 2019;
    for(j = R; j > L; j--){
        for(i = L; i < j; i++)
            if(min > (i * j) % 2019)
                min = (i * j) % 2019;
    }

    printf("%d",min);
    return 0;
}