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;

long long nn, i, j;

int main(){
		cin>>nn;
		for(i=1; i<=3500; i++)
			for(j=1; j<=3500; j++){
				long long a = nn*i*j;
				long long b = 4*i*j - nn*j - nn*i;
				if (b==0) continue;
				if (a%b == 0 && a/b>0){
					cout<<i<<" "<<j<<" "<<a/b;
					return 0;
				}
			}
}