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	<bits/stdc++.h>
using namespace std;

int	main() {
	long N;
	cin >>N;
	for (long i=1; i<=3500; i++)
		for (long j=1; j<=3500; j++) {
			long D=N*i*j;
			long E=4*i*j - N*(i+j);
			if (0>=E)
				continue;
			if (0==D%E) {
				long k= D/E;
				cout <<i <<' ' <<j <<' ' <<k <<endl;
				return 0;
			}
		}
	return 0;
};