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 x;
  cin >> x;
  int n1 = -1, n2 = -1;
  for (int i = 1; i <= x; i++) {
    for (int j = 1; j <= x; j++) {
      if (i * j > x && i / j < x && i % j == 0) {
        n1 = i;
        n2 = j;
      }
    }
  }
  if (!(n1 * n2 > x && n1 / n2 < x && n1 % n2 == 0))
    cout << -1;
  else
    cout << n1 << " " << n2;
  return 0;
}