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 some(x):
    a = None
    b = None
    flag = False
    for i in range(1,
                   x+1):
        if flag:
            break
        for j in range(1,
                       x+1):
            if not(i%j) and i*j > x and i/j < x:
                a = i
                b = j
                break
    if a and b:
        return a, b
    return -1,
print(*some(x))
