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 PYTHON3):

Solution:
def solve(n):
    if n == 1:
        return -1
    if n == 2:
        return "2 2"
    if n == 3:
        return "2 2"
    if n % 2:
        return str(n - 1) + " " + str((n - 1) // 2)
    return str(n) + " " + str((n) // 2)

n = int(input())

print(solve(n))