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 long n;
	cin >> n;
	for(register long long a = 1; a <= 3500; ++a)
	{
		for(register long long b = 1; b <=3500; ++b)
		{
			long long x = a * b * n;
			long long y = 4 * a * b - n * b - n * a;
			if(y > 0 && x % y == 0)
			{
				cout << a << " " << b << " " << x / y << endl;
				return 0;
			}
		}
	}
}