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>
int main() {
  int n;
  scanf("%d", &n);
  for (int i = 2; i <= n; i++) {
    if (n % i == 0 || ((n - 1) % i == 0)) {
      printf("%d %d", ((n - 1) % i == 0) ? n - 1 : n, i);
      return 0;
    }
  }
  printf("-1");
  return 0;
}