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: Accepted)

using System;

class T1PBCC
{
	static public void Main(string[] args)
	{
		long N = long.Parse(Console.ReadLine());

		for(long h=1; h<=3500; h++)
		{
			for(long n=1; n<=3500; n++)
			{
				long X = 4*h*n - N*n - N*h;
				long Y = N * h * n;
				if(X > 0 && Y % X == 0)
				{
					Console.WriteLine("{0} {1} {2}", h, n, Y/X);
					return;
				}
			}
		}

	}
}