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