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<iostream>

using namespace std;

int main(){
long long int N;
cin >>N;

long long int h,w,n;
int ans = 0;
for(int i=1;i<=3500&&ans==0;i++){
    for(int j=1;j<=3500&&ans==0;j++){
        if(4*i*j-N*(i+j)>0&&N*i*j%(4*i*j-N*(i+j))==0){
            cout<<i<<" "<<j<<" "<<N*i*j/(4*i*j-N*(i+j))<<"\n";
       
        ans++;
        }
    }

}

return 0;

}