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
x = int(input())
b = 1
a = 1
c = 1
achou = False

while c <= x:
  while a <= x:
    if a*b > x and a/b < x:
      achou = True
      break
    b += 1
    a = b*c
  if (achou == True):
    break
  c += 1

if achou == False:
  print (-1)
else:
  print (a , b)
 		 	 		   					 	 	   		 	 	