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(){
	int n;
	cin>>n;
	for (int i=n/4+1;i<=3500;i++){
		for (int j=i;j<=3500;j++){
			long long k=(long long)i*j*n;
			long long p=(long long)4*i*j-n*i-n*j;
			if (p>0){
				if (k%p==0 && k/p<=3500){
					cout<<i<<" "<<j<<" "<<k/p<<endl;
					return 0;
				}
			}
		}
	}
}