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;
typedef long long ll;
ll n;

int main(int argc, char** argv) {
	cin>>n;
	ll i, j, fz, fm;
	for(i=1;i<=3500;i++) {
		for(j=1;j<=3500;j++) {
			fz = 4 * i * j - n * j - n * i;
			if(fz <= 0)continue;
			fm = n * i * j;
			if(fm % fz == 0)goto ed;
		}
	}
	ed:
	cout<<i<<" "<<j<<" "<<fm / fz<<endl;
	return 0;
}