Problem: 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

Examples

Input

2


Output

1 2 2


Input

3485


Output

872 1012974 1539173474040


Input

4664


Output

3498 3498 3498

Solution (in JAVA):

Solution:
import java.util.Scanner;

public class Main{
	public static void main(String[] args){
		Scanner sc = new Scanner(System.in);
		long N = sc.nextLong();
		boolean OK = false;
		for(long n = 1; n <= 3500; n++) {
			for(long h = 1; h <= 3500; h++) {
				if(n * (2 * h - N) + h * (2 * n - N) <= 0) continue;
				if(n * h * N % ((long)4 * n * h - n * N - h * N) == 0) {
					System.out.println(h+" "+n+" "+(n * h * N / ((long)4 * n * h - n * N - h * N)));
					OK = true;
					break;
				}
			}
			if(OK) break;
		}
	}
}