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();
        sc.close();

        for(long i = 1; i <= 3500; i++){
            for(long j = 1; j <= 3500; j++){
                long m = 4*i*j-N*(i+j);
                if(m <= 0)
                    continue;
                else {
                    if(N*i*j%m == 0 && N*i*j/m <= 3500 ){
                        System.out.println(i+" "+j+" "+N*i*j/m);
                        return;
                    }
                }
            }
        }
    }
}