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() {
  long long int num;
  cin >> num;
  if (num == 1) {
    cout << "-1" << endl;
  } else {
    for (int i = 1; i <= num; i++) {
      for (int j = i; j <= num; j += i) {
        if ((i * j) > num && (j / i) < num) {
          cout << j << " " << i << endl;
          return 0;
        }
      }
    }
  }
  return 0;
}