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())

def better_search(x):
    for a in range(1,x+1):
        for b in range (1,a+1):
            if a % b == 0 and a*b>x and a/b<x:
                print(str(a) + " " + str(b))
                return 1
    print(str(-1))
    return -1

better_search(x)
					   	      	  				 	 	 				