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(){
 long long N,u,c;
  cin>>N;
    for(long long h=1;h<=3500;h++){
      for(long long n=1;n<=3500;n++){
        u=h*n*N;
        c=h*(4*n-N)-n*N;
        if(c!=0){
   if(u%c==0&&u/c>0){
     cout<<h<<" "<<n<<" "<<u/c<<endl;
   return 0;
   }
    }
      }
    }
}