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 ())
if x ==1:
  print(-1)
else:
  if x%2 ==0:
    a = int((x+2)/2)
    if (a%2==1):
      a+=1
  else:
    a= int((x+1)/2)
    if (a%2==1):
      a+=1
  b = 2
  print (str(a) + " " + str(b)) 