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 9.2.1) (judge verdict: Wrong Answer)

#include<stdio.h>

int main(){
	int n,d,i,j,sum = 0,num = 0;
	int x[100][100];
	scanf("%d %d",&n,&d);
	for(i = 0; i < n; i++){
		for(j = 0; j < d; j++){
			scanf("%d",&x[i][j]);
		}
	}
	
	for(int k = 0; k < n; k++){
	for(i = k + 1; i < n; i++){
		for(j = 0; j < d; j++){
			sum += (x[i][j] - x[k][j]) * (x[i][j] - x[k][j]);
			printf("%d\n",sum);
		}
	    for(j = 0; j <= sum; j++){
			if(sum == j * j){
				num += 1;
			}
	    }
		sum = 0;
	}
	}
	printf("%d",num);
}