Problem: Given an integer x, find 2 integers a and b such that: 

  * 1 ≤ a,b ≤ x 
  * b divides a (a is divisible by b). 
  * a ⋅ b>x. 
  * a/b<x. 

Input

The only line contains the integer x (1 ≤ x ≤ 100).

Output

You should output two integers a and b, satisfying the given conditions, separated by a space. If no pair of integers satisfy the conditions above, print "-1" (without quotes).

Examples

Input

10


Output

6 3

Input

1


Output

-1

Solution (in CPP):

Solution:
#include <bits/stdc++.h>
using namespace std;
int c;
int main() {
  cin >> c;
  for (int a = 1; a <= c; ++a) {
    for (int b = 1; b <= c; ++b) {
      if (a % b == 0 && a / b < c && a * b > c) {
        cout << a << " " << b << "\n";
        return 0;
      }
    }
  }
  cout << -1 << "\n";
}