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:
import math

def search(x):

  if(x == 1):

    print(-1)

  else:

    if ((math.floor(x/2)+1 )% 2== 0):
      print(math.floor(x/2)+1, math.floor(x/2)+1)
    else:
      print(math.floor(x/2)+2, math.floor(x/2)+2)

search(int(input()))