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 main() {
  int number;
  cin >> number;
  int auxs[2] = {1, 1};
  bool found = false;
  for (int i = 1; i <= number && !found; i++) {
    for (int j = 1; j <= number && !found; j++) {
      if (i % j == 0 && i / j < number && i * j > number) {
        cout << i << " " << j << endl;
        found = true;
      }
    }
  }
  if (!found) cout << "-1" << endl;
}