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:
n=int(input())
a,b=0,0
found=False
if n>=1 and n<=100:
	for i in range(1,n+1):
		for j in range(1,n+1):
			if j%i==0 and j*i>n and j//i<n:
				a,b=j,i
				found=True
				break
		if found:
			break
			
	if found:
		print(a,b)
	else:
		print(-1)