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;
using System.Linq;//リストの使用
using System.Collections.Generic;
class Program
{
	static void Main()
	{
		long n = long.Parse(Console.ReadLine());//long.Parseはstringをlongに変換。
    long x = 0;
    long y = 0;
    long z = 0;

    for(long a = 1; a <= 3500; a++)
    {
      for(long b = 1; b <= 3500; b++)
      {
        if(4*a*b-n*b-n*a != 0)
        {
          if((n*a*b) % (4*a*b-n*b-n*a) == 0)
          {
            x = a;
            y = b;
            z = (n*a*b) / (4*a*b-n*b-n*a);
          }
        }
      }
    }

		Console.WriteLine(x+" "+y+" "+z);//WriteLineをWriteとすると、改行なしで出力。
	}
}