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, a, b = 0;
  cin >> x;
  for (int i = 1; i <= x; i++) {
    int k = 1;
    while (i * k <= x) {
      if (i * i * k > x && k < x) {
        a = i * k;
        b = i;
        break;
      } else
        k = k + 1;
    }
  }
  if (b == 0)
    cout << -1;
  else
    cout << a << " " << b;
  return 0;
}