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 task_a(inp):
    if inp != 1:
        if inp % 2 != 0:
            print(inp - 1)
        elif inp % 2 == 0:
            print(inp)
        print(2)
    elif inp == 1:
        print(2)
        print(1)

    return None


x = int(input())
if x == 1:
    print(-1)
elif x != 1:
    task_a(x)
