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())
flag = False
for a in range(x, 0, -1):
    for k in range(a, 0, -1):
        # b = a // k
        if a % k == 0:
            b = a // k
            if a * b > x and a / b < x:
                print(a, b)
                flag = True
                break
    if flag:
        break

if not flag:
    print(-1)

	 		 		      	 	  	 	  	 	  		