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 n, dimention, x[10][10], i, j, k, count = 0, sum, flag = 0;

  scanf("%d %d", &n, &dimention);

  for(i = 0; i < n; i++){
    for(j = 0; j < dimention; j++){
      scanf("%d", &x[i][j]);
    }
  }

  for(i = 0; i < n; i++){
    for(j = 0; j < n; j++){
      for(k = 0; k < dimention; k++){
	sum += (x[i][k] - x[j][k]) * (x[i][k] - x[j][k]);
      }
      if((double)sum / 1.0 == 0.0)
	if(i == j)
	  flag = 1;
	count++;
    }
  }

  printf("%d\n", (count - flag)/ 2);

  return 0;
}