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)

#region using directives
using System;
using System.Collections;
using System.Collections.Generic;
using System.Linq;
using System.Text;
using System.Threading.Tasks;
using static System.Console;
using static System.Convert;
#endregion

namespace for_contests
{
    class Program
    {
        static int Compare1(KeyValuePair<long, long> a, KeyValuePair<long, long> b)
        {
            return a.Key.CompareTo(b.Key);
        }
        static void Main(string[] args)
        {
            long N = ToInt32(ReadLine());
            int q = 0;
            for (int i = 1; i <= 3500; i++, q++)
                if (4 * i > 3 * N)
                    break;
            for (long i = q; i <= q+1; i++)
                for (long j = i; j <= q+1; j++)
                    for (long k = j; k <= q+1; k++)
                    {
                        if ((i * j + j * k + i * k) * N == 4 * i * j * k)
                        {
                            WriteLine(i + " " + j + " " + k);
                            ReadKey();
                            return;
                        }
                        else if ((i * j + j * k + i * k) / (i * j * k) > 4 / N)
                            break;
                    }
            ReadKey();
        }
    }
}