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:

def main():
	x = int(input())

	for i in range(1, x+1):
		for j in range(i, x+1):

			if j%i != 0:
				continue
			elif i*j <= x:
				continue
			elif int(j/i) >= x:
				continue
			else:
				print(j, i)
				return
	print("-1")

if __name__ == "__main__":
	main()