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);
		
		int n = Integer.parseInt(sc.next());
		
		
		int ans1= 0;
		int ans2 = 0;
		int ans3 = 0;
		
	for(int i = 1 ; i <= 3500 ; i++) {
		for(int j = 1 ; j <= 3500 ; j++) {
			long temp = (long)i * j * n;
			long temp1 = (long)(4 * i * j) - n * (i + j);
			if(temp1 <= 0) continue;
			if(temp % temp1 == 0 ) {
				ans1 = i;
				ans2 = j ;
				ans3 = (int)(temp/temp1);
			}
		}
	}
		System.out.println(ans1+" "+ans2+" "+ans3);
		
		}	
	}