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.Scanner;

class Main{
	public static void main(String[] args) {
		Scanner sc = new Scanner(System.in);
		int n=sc.nextInt();
		int start=n/4;
		if(start==0){start=1;}
		int nn=3*n/4;
		int max=3500;
		int end=0;
		for(int i=start;end==0&&i<=max;i++){
			for(int j=i;end==0&&j<=max;j++){
				for(int k=(j<=nn)?nn:j;k<=max;k++){
					if(4*i*j*k==n*(i*j+j*k+k*i)){
						System.out.println(i+" "+j+" "+k);
						end=1;
						break;
					}
				}
			}
		}
	}
}