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();
		for(long a=1;a<=3500;a++) {
			for(long b=1;b<=3500;b++) {
				long c1 = a * b * n;
				long c2 = 4 * a * b - n * b - n * a;
				if (c2 == 0) continue;
				if (c1 % c2 != 0) continue;
				long c = c1 / c2;
				if (c > 0) {
					System.out.println(a + " " + b + " " + c);
					return;
				}
			}
		}
	}
}