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 solution(x):
    candidates = [i for i in range(1, x + 1)]

    for a in candidates:
        for b in candidates:
            if a * b > x and a / b < x and a % b == 0:
                print(a, b)
                return

    print(-1)

x = int(input())

solution(x)