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 i, j, m, n;
  int flag = 0;
  scanf("%d", &n);
  for (i = 1; i <= n; i++) {
    for (j = i; j <= n; j++) {
      if (j % i == 0 && i * j > n && j / i < n) {
        flag = 1;
        break;
      }
    }
    if (flag == 1) break;
  }
  if (flag == 1) {
    printf("%d %d\n", j, i);
  } else
    printf("-1");
  return 0;
}