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())
res = []
for i in range(1, x+1):
    for j in range(1, x+1):
        if i <= x and j <= x and i*j > x and i // j < x and i % j == 0:
            res.append((i, j))
if len(res) == 0:
    print(-1)
else:
    print(res[0][0], res[0][1])