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:
n=int(input())
if n==0 or n==1:
    print(-1)
elif n==2 or n==3:
    print(2,2)
else: 
    for i in range(n,3,-1):
        k=2
        while i%k!=0:
            k+=1
        if k*i>n:
            break
    print(i, k)