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>
#define EPS 1e-7
int main(){
	int N;
	scanf("%d",&N);
	int h,n;
	long long w;
	long long s;
	long long k;
	for(h=1;h<=3500;h++){
		for(n=h;n<=3500;n++){
			s=N*h*n;
			k=4*h*n-N*n-N*h;
			if(k>0&&(s%k)==0){w=s/k;goto A;}
		}
	}
	A:
	printf("%d %d %d",h,n,w);
}