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.*;
public class Main {

  public static void main(String[] args) { 
      Scanner sc = new Scanner(System.in);
      long N = sc.nextLong();
      for(int w = 1; w <= 3500; w++) {
        for(int h = 1; h <= 3500; h++) {
          if((4 * h * w - w * N - h * N) > 0 && 
            N * h * w % (4 * h * w - w * N - h * N) == 0) {
            System.out.println(w + " " + h + " " + (N * h * w / (4 * h * w - w * N - h * N)));
            return;
          }
        }
      }
      
  }
}