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: Wrong Answer)

import java.util.*;
public class Main{
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		int N = sc.nextInt();
		int h = 0;
		int n = 0;
		int w = 0;
		for(int i=1; i<=N*3/4; i++){
			for(int j=1; j<=3500; j++){
				if(4*i*j-N*i-N*j>0 && (N*i*j)%(4*i*j-N*i-N*j)==0){
					h = i;
					n = (N*i*j) / (4*i*j-N*i-N*j);
					w = j;
					break;
				}
			if(h!=0)break;
			}
		}
		System.out.println(h + " " + n + " " + w);
	}
}