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:
# Ehab and another construction problem
def numbers(x):
    for a in range(1, x + 1):
        for b in range(1, x + 1):
            if a % b != 0:
                continue
            if not ((a * b) > x):
                continue
            if not ((a / b) < x):
                continue
            else:
                print(a, b)
                return
    print(-1)

x = int(input())
numbers(x)