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
def main():                                                                     
    x = int(raw_input())                                                        
    if x == 1:                                                                  
        print(-1)                                                               
        return                                                                  
    print("%d %d" % (x-x%2, 2))                                                 
                                                                                
main()