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 PYTHON):

Solution:
x = int(input())
found = False
for a in range(2, x+1):
    for b in range(2, x+1):
        if (a % b == 0) & (a*b > x) & ((a /b) < x):
            found = True
            print('%d %d' % (a, b))
            break
    if found:
        break
if not found:
    print(-1)