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++14 (GCC 5.4.1) (judge verdict: Wrong Answer)

#include <stdio.h>

int main(void){
  long h,n,w;
  long N;

  scanf("%d", &N);

  for (h=1; h<=3500; h++){
    for (n=h; n <= 3500; n++){
      for (w=n; w <= 3500; w++){
	if (h*n*w == N*(n*w + h*n + h*w)/4){
	  printf("%d %d %d\n", h,n,w);
	  return 0;
	}
      }
    }
  }

  return 0;
}