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,r;
        int i,j;
        int imod;
        int iminmod = 2020; 
         0 <= l < 2000000000;
        0 < r <= 2000000000;
     
        scanf("%d%d",&l,&r);
     
        i = l;
        if(r-l>=2019){
            printf("%d\n",0);
            return 0;
        }
        else{
        for(j =i+1; j<=r; j++ ){
            for(i = l; i<=j-1;i++){
                imod=(i%2019)*(j%2019)%2019;
                if(imod < iminmod){
                    iminmod = imod;               
                }
            }
        }
        }
           
         printf("%d\n",iminmod);
         return 0;
         }