Problem:
Score : 300 points

Problem Statement

You are given an integer N.

Find a triple of positive integers h, n and w such that 4/N = 1/h + 1/n + 1/w.

If there are multiple solutions, any of them will be accepted.

Constraints

It is guaranteed that, for the given integer N, there exists a solution such that h,n,w \leq 3500.

Inputs

Input is given from Standard Input in the following format:

N

Outputs

Print a triple of positive integers h, n and w that satisfies the condition, in the following format:

h n w

Sample Input 1

2

Sample Output 1

1 2 2

4/2 = 1/1 + 1/2 + 1/2.

Sample Input 2

3485

Sample Output 2

872 1012974 1539173474040

It is allowed to use an integer exceeding 3500 in a solution.

Sample Input 3

4664

Sample Output 3

3498 3498 3498

Solution in C (GCC 5.4.1) (judge verdict: Runtime Error)

#include <stdio.h>
#define int long long int
#define d lld
int main() {
	int m, n, w, p, q;
	scanf("%d", &m);
	for (w = 1; w <= 3500; w+=m)
	{
		for (n = 1; n <= 3500; n++)
		{
			p = m*n*w;
			q = 4 * n*w - m*w - m*n;
			if (q > 0 && p % q == 0)
			{
				printf("%d %d %d", p / q, n, w);
				return 0;
			}
		}
	}
}