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)

/* ABC133-C.c
   Takatan */

#include<stdio.h>
#define NUM 2019
int main(void){
    int left, right, min, judge, i, j;

    min = 2018;

    scanf( "%d %d" , &left, &right); /* 入力 */

    if(right>left+NUM){ /* NUMの倍数が含まれるとき */

        printf( "%d\n" , min);

        return 0; /* あまりの最小値は0になる */

    }

    for(i=left; i < right; i++){

        for(j=i+1; j <= right; j++){

            judge = (i * j) % NUM; /* judgeするあまりを求める */

            if(judge<min){ /* judgeが暫定最小となるとき */

                min = judge; /* 最小値を更新 */

            }

            if(min==0){

                printf( "%d\n" , min);

                return 0;

            }

        }

    }

    printf( "%d\n" , min);

    return 0;
}