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 CPP):

Solution:
#include<iostream>
using namespace std;
long long N;
long long h,n,w;
int main()
{
	cin>>N;
	for(int h=1;h<=3500;h++)
	  for(int n=1;n<=3500;n++)
	  {
	  	if(4*n*h-n*N-N*h>0){
	  			if((N*h*n)%(4*n*h-n*N-N*h)==0)
	 	 	{
	  			cout<<h<<" "<<n<<" "<<(N*h*n)/(4*n*h-n*N-N*h)<<endl;
		  		return 0;
	  		}
	  	}
	  
	  }
	return 0;
}