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: Wrong Answer)

#include<stdio.h>
main(){
  unsigned int N,h,n,w,x,y;
  scanf("%d",&N);
  for(h=0.75*N;1;h++){
      for(n=0.5*N;n<h+1;n++){
      x=4*n*h-N*(n+h);
      y=N*n*h;
      if(x*y>0){
        if(y%x==0)break;
      }
    }
    if(x*y>0){
      if(y%x==0)break;
    }
  }
  w=y/x;
  printf("%d %d %d",h,n,w);
  return 0;
}