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.*;
import java.io.*;
public class Main{
        public static void main(String[] args){
                Scanner sc = new Scanner(System.in);
                Map hs = new HashMap();
                PrintWriter ou = new PrintWriter(System.out);
                int n = Integer.parseInt(sc.next());
                sc.close();
                boolean ebishu = true;
                for(long i = 1 ; i <= 3500 && ebishu ; i++){
                        for(long j = 1 ; j <= i && ebishu ; j++){
                                if(1.0 * (n * i * j) / (4 * i * j - n * i - n * j) % 1 == 0 && (n * i * j) / (4 * i * j - n * i - n * j) > 0){
                                        ebishu = false;
                                        ou.print(i + " " + j + " " + (n * i * j) / (4 * i * j - n * i - n * j) + "\n");
                                }
                        }
                }
                ou.flush();
        }
}