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:
n = int(input())
if n == 1:
    print(-1)
elif n == 2:
    print(2, 2)
else:
    x = n % 2
    if x != 0:
        y = int(n / 2)
        if y % 2 == 0:
            print(y + 2, 2)
        else:
            print(y + 1, 2)
    else:
        if int(n / 2) % 2 == 0:
            print(int(n / 2) + 2, 2)
        else:
            print(int(n / 2) + 1, 2)