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

Difficulty: EASY

Solutions:
n = int(input())
if n == 2 or n == 3:
	print(2, 2)
	exit()
elif n == 4:
	print(4, 2)
	exit()
lisofij = []
for i in range(n):
	for j in range(n):
		if i >= 1 and j >= 1 and (i <= n) and (j <= n) and (i % j == 0) and (i * j > n) and (i // j < n):
			lisofij.append(i)
			lisofij.append(j)
if len(lisofij) <= 3:
	print(-1)
	exit()
print(lisofij[0], lisofij[1])