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# (Mono 4.6.2.0) (judge verdict: Wrong Answer)

using System;

class Program
{
	static void Main(string[] args)
	{
        int a,h = 1,n,w,sum;
        a = int.Parse(Console.ReadLine());

        while(true)
        {
            if (4*h > a)break;
            h++;
        }

        sum = 4 * h;
        n = h;

		while (true)
		{
			
            if (sum*n > a*n + a*h)break;
            n++;
		}

        sum *= n;
        w = n;
		while (true)
		{
			
            if (sum*w == a*n*w + a*w*h + a*h*n)break;
            w++;
		}

        Console.WriteLine("{0} {1} {2}",h,n,w);

	}
}