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;
vector<long long int> v;
int main() {
  int x, a, b;
  cin >> x;
  if (x == 1) {
    cout << -1;
    return 0;
  }
  if (x == 2) {
    cout << 2 << " " << 2;
    return 0;
  } else {
    for (int j = 1; j < x; j++) {
      for (int i = x; i >= 1; i--) {
        if (i % j == 0 && i * j > x && i / j < x) {
          cout << i << " " << j;
          return 0;
        }
      }
    }
  }
  cout << -1;
  return 0;
}