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:
x = int(input())
t = int(x/2)
if t%2 == 0:
    t += 2
else:
    t += 3
if x == 2:
    print("2 2")
elif x<2:
    print("-1")
elif x == 3:
    print("3 3")
elif x== 4 or x==5:
    print("4 2")
else:
    p = int(t/2)
    print(str(t) + " " + str(p))