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 <stdlib.h>
#include <string.h>


int main(void){
  long l,r,i,j,d,min;
  char str[100],*p;
  
  fgets(str,sizeof(str),stdin);
  p=strtok(str," \n");
  l=atol(p);
  p=strtok(NULL," \n");
  r=atol(p);
  
  if(r-l>=2019){
    printf("0\n");
    return 0;
  }
  
  for(i=l,min=1000000;i<r;i++){
    for(j=i+1;j<r+1;j++){
      d=((j%2019)*(i%2019))%2019;
      if(min>d){
        min=d;
      }
    }
  }
  
  printf("%ld\n",min);
  
  
  return 0;
}