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;
  cin >> x;
  if (x == 2 || x == 3) {
    cout << x << " " << x;
    a = 0;
  }
  if (x == 1) {
    cout << -1;
  }
  for (a = x / 2; a <= x; a++) {
    for (b = a - 1; b >= 1; b--) {
      if ((a % b == 0) && (a * b > x) && (a / b < x)) {
        cout << a << " " << b;
        b = 0;
        a = x + 1;
      }
    }
  }
}