Problem: 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

Solution (in PYTHON3):

Solution:
import sys
from math import sqrt, floor, factorial
from collections import deque, Counter
inp = sys.stdin.readline
read = lambda: list(map(int, inp().strip().split()))

def solve():
	n = int(inp())
	print(*[[-1], [n-(n%2), 2]][n > 1])


if __name__ == "__main__":
	solve()