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
#include <bits/stdc++.h>
using namespace std;

int main()
{
    long N;
    cin>>N;
    for(int i=1; i<=3500; ++i) {
        for(int j=1; j<=3500; ++j) {
            auto x=4*i*j-N*(i+j);
            auto y=i*j*N;
            if (x>0 and y%x==0) {
                cout<<i<<' '<<j<<' '<<y/x<<endl;
                return 0;
            }
        }
    }
}
