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: Runtime Error)

#include<stdio.h>
#include<math.h>

int main(void)
{
		int sum, ans=0,n,d;
		double a;

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

		int x[n][d];

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

	for (int a = 0;a < n - 1;a++)
	{
		for (int b = a + 1;b < n;b++)
		{
			sum = 0;
			for (int i = 0;i < d;i++)
				sum += (x[a][i] - x[b][i]) * (x[a][i] - x[b][i]);
			a = sqrt((double)sum);
			sum = (int)a*1000;
			a *= 1000;
			if (sum ==(int)a)
				ans++;
		}
	}
	printf("%d", ans);
	return 0;
}