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
n = int(input())
a = 2
b = n if n&1==0 else n - 1
if a!=b and a <b:
    print(b,a)
elif n == 2:
    print("2 2")
elif n == 3:
    print("3 3")
else:
    print(-1)
