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())
if x==1:
	print("-1")
else:	
	flag=0
	for i in range(1,x+1):
		for j in range(1,x+1):
			if j%i==0 and i*j>x and i//j<x:
				flag=1
				# print(i,j)
				break

		if flag==1:
			print(j,i)
			break