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 n;
int main() {
  cin >> n;
  if (n == 2) return cout << 2 << " " << 2, 0;
  if (n >= 3) {
    if ((n / 2) % 2 == 0)
      cout << (n / 2) + 2 << " " << 2;
    else
      cout << (n / 2) + 1 << " " << 2;
  } else
    cout << -1;
}