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 N;cin>>N;
  for(long n=1;n<=3500;n++)for(long w=1;w<=3500;w++){
    long a=N*n*w,b=4*n*w-N*n-N*w;
    if(b>0&&a%b==0){cout<<a/b<<" "<<n<<" "<<w;return 0;}
  }
}