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