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:
#Ehab and another construction problem
x = int(input())
c = 0
val = 0
for i in range(2,x):
    if  x%i==0:
        c+=1
if x==1:
    print('-1')

elif x%2==0:
    print(x,'2')
else:
    print(x-1,'2')