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 i = 1;
  int j = 1;
  while (i <= x) {
    j = 1;
    while (j <= x) {
      if ((i % j == 0) && (i * j > x) && (i / j < x)) {
        cout << i << " " << j;
        return 0;
      }
      j++;
    }
    i++;
  }
  cout << -1;
  return 0;
}