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 x, a = 0, b = 0;
  cin >> x;
  for (int i = 1; i <= x; ++i) {
    for (int j = i; j <= x; ++j) {
      if (j % i == 0 && i * j > x && i / j < x) {
        a = i;
        b = j;
        j = x;
        i = x;
      }
    }
  }
  if (a != 0 && b != 0)
    cout << b << " " << a;
  else
    cout << -1;
}