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:
import math

if __name__ == '__main__':
	

	x = int(input())
	arr = []
	for i in range(1,x+1):
		for j in range(1,x+1) :
			if i*j > x and i%j ==0 and i//j < x :
				arr = [i,j]
	if arr==[]:
		print(-1)
	else:
		print(*arr)