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())
res=False
for a in range(1,x+1):
  for b in range(1,x+1):
    if b%a==0 and (a*b)>x and (a/b)<x:
      x=a
      y=b
      res=True
      break
if res:
  print(y,x)
else:
  print(-1)
