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
import os
import time
flag=False
x = int(input())
if 100<x or x<1:
  print("El numero seleccionado está fuera del rango especificado.")
  time.sleep(5)
  os._exit(0)
for i in range(1,x+1):
  for j in range(i,x+1):
    if ((j/i)%1)==0 and (i*j)>x and (i/j)<x:
      print(str(j) + ' ' + str(i))
      flag=True
      break
  if flag:
    break
if not flag:
  print(-1)
 		  	     	 	  	  				   		  	