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, a, b, c, d, e, f;
int main() {
	cin >> n;
	for (a = 1; a <= 3500; a ++)
		for (b = 1; b <= 3500; b ++) {
			long long x = n * a * b;
			c = 4 * a * b - b * n - a * n;
			if (c <= 0) continue;
			if (x > c && x % c == 0) {
				c = x / c;
				cout << a << " " << b << " " << c << endl;
				return 0;
			}
		}
	return 0;
}