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
x = int(input())

def core():
	if x == 1:
		return "-1"

	for a in range(1, x+1):
		for b in range(1, a+1):
			if a%b == 0:
				if a*b > x:
					return "%d %d" % (a, b)
	return "-1"

print(core())