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 argc, char** argv) {
  int n;
  cin >> n;
  int a, b;
  int i, j;
  bool check = false;
  for (i = 1; i <= n; i++) {
    for (j = 1; j <= i; j++) {
      if (i % j == 0 && i * j > n && i / j < n) {
        check = true;
        a = i;
        b = j;
        break;
      }
      if (check == true) break;
    }
  }
  if (check == true) {
    cout << a << " " << b;
  } else
    cout << -1;
  return 0;
}