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>
int main()
{
    double w;
    int N,h,n;
    long long t;
    while(scanf("%d",&N),N>=1&&N<=3500)
        {
        	for(h=1;h<=3500;h++)
        	    for(n=1;n<=3500;n++)
        	    {
        	    	w=N*h*n/(4*h*n-N*h-N*n);
        	    	t=(long long) (w);
        	    	if(t==w) break;
        	    }
        	printf("%d %d %lld\n",h,n,w);
        }
	return 0;
}