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:
x = int(input())
if x < 2:
    print('-1')
else:
    for a in range(1, x + 1):
        for b in range(1, x + 1):
            a1 = 0
            b1 = 0
            if (b % a == 0 or a % b == 0) and a * b > x and a // b < x:
                a1 += a
                b1 += b
                break
    print(a1, b1)