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 i=1;i<=3500;i++){
      for(int j=1;j<=3500;j++){
        long x = n*i*j;
        long y = 4*i*j-n*(i+j);
        if(y!=0&&x%y==0&&x/y>=1&&x/y<=3500){
          System.out.println(i+" "+j+" "+x/y);
          return;
        }
      }
    }
  }
}