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;
#define int long long
#define rep(i,n) for(int i=1;i<n;i++)
int n;
signed main(){
	cin>>n;
	rep(i,3501){
		rep(j,3501){
			int k=i*j*n;
			int l=k/n*4;
			int m=l-k/i-k/j;
			if(m==0)continue;
			if(k/m<0)continue;
			if(k%m==0){
				cout<<i<<" "<<j<<" "<<k/m<<endl;
				return 0;
			}
		}
	}
}