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())
output = -1
f = 1
for a in range(1, x + 1):
    for b in range(1, x + 1):
        if a % b == 0 and a * b > x and a / b < x:
            output = (a, b)
            f = 0
            break
    if not f:
        break
if output == -1:
    print(output)
else:
    print(str(output[0]) + ' ' + str(output[1]))