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 Java8 (OpenJDK 1.8.0) (judge verdict: Time Limit Exceeded)

import java.util.*;
import java.lang.*;
 
 //O(100000000)
public class Main {
    public static void main(String[] args) {

        Scanner sc  = new Scanner(System.in);

        int cnt = 0;

        long N = Long.parseLong(sc.next());
        long h = 1;
        long n = 2;
        long w = 1;
        
        while(true){
            
            if(4==N*(1+1+1/w))break;
            w++;
        }
        
        
        System.out.print(h+" "+n+" "+w);
        System.out.println();

    }

}