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
def solve(x):
	found = False
	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):
				print(str(i) + " " +  str(j))
				found = True
				return
	if (found == False):
		print(-1)

x = int(input())
solve(x)

