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:
    first, second = 0, 0
    for a in range(0, x+1):
        for b in range(0, x+1):
            if(a*b > x and a / b < x and a % b == 0):
                    first, second = a, b 
                    break 
        if(first != 0):
            break
    print(first, second)
  			  	  	 		   		  	 	 				 	