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():
    x = int(input())
    
    if x == 1:
        print (-1)
        return
    
    if x < 4:
        print (x, x)
        return
    
    a = x - (0 if x % 2 == 0 else 1)
    b = a // 2
    
    print (a, b)
    
solve()