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.Collections.Generic;
using System.Linq;
using System.Text;

class Program
{
    private int N;
    private void Scan()
    {
        N=int.Parse(Console.ReadLine());
    }
    
    private bool C(int i,int j,int k)
    {
        return 4.0/N<=1.0/i+1.0/j+1.0/k;
    }
    
    
    private void Calc()
    {
        if(N%2==0)
        {
            Console.WriteLine($"{N} {N} {N/2}");
        }
        else
        {
            
            for(int i=1;i<=3500;i++)
            {
                for(int j=i;j<=3500;j++)
                {
                    int min=j;
                    int max=3501;
                    while(max-min>1)
                    {
                        int mid=(min+max)/2;
                        if(C(i,j,mid))
                        {
                            min=mid;
                        }
                        else
                        {
                            max=mid;
                        }
                    }
                    if((4.0/N==1.0/i+1.0/j+1.0/min))
                    {
                        //Console.WriteLine($"{4.0/N} {1.0/i+1.0/j+1.0/min}");
                        Console.WriteLine($"{i} {j} {min}");
                        return;
                    }
                }
            }
        }
    }
    
    public void Solve()
    {
        Scan();
        Calc();
    }
    
    static void Main()
    {
        new Program().Solve();
    }
}