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: Time Limit Exceeded)

using System;
using System.Collections.Generic;
using System.Linq;
using System.Numerics;
using System.Text;
using System.Threading.Tasks;

namespace ConsoleApplication3
{
    class Program
    {
        static void Main(string[] args)
        {
            string inp = Console.ReadLine();//.Select(x => int.Parse(x.ToString()));
            decimal num = 4 / decimal.Parse(inp.ToString());

            int[] pair = new int[3];
            bool flg = false;
            int i, j, k;
            for (i = 1; i <= 3500; i++)
            {
                for (j = i; j <= 3500; j++)
                {
                    for (k = j; k <= 3500; k++)
                    {
                        decimal ans = 1 / decimal.Parse(i.ToString()) + 1 / decimal.Parse(j.ToString()) + 1 / decimal.Parse(k.ToString());
                        decimal diff = num - ans;
                        if (diff < 0)
                        {
                            break;
                        }

                        if (diff == 0 )
                        {
                            pair[0] = i;
                            pair[1] = j;
                            pair[2] = k;
                            flg = true;
                            break;                            
                        }
                    }
                    if (flg)
                    { break; }
                }
                if (flg)
                { break; }
            }

            Console.WriteLine(string.Format("{0} {1} {2}", pair[0], pair[1], pair[2]));
        }


        

    }
}