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())
f = 1
for a in range(1, x+1):
	for b in range(1, a+1):
		if f and a%b == 0 and a*b > x and a//b < x:
			f = 0
			print(a, b) 
			break
	if not f:
	    break

if f:
	print(-1)