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:
# cook your dish here
x = int(input())
a = 1
b = 1
cnt = 0
for i in range(1,x+1):
    for j in range(1, x+1):
        if i%j==0 and (i*j)>x and (i/j)<x:
            a = i
            b = j
            cnt = cnt + 1
            break
    if cnt>0:
        break
if cnt==0:
    print("-1")
else:
    print(a,b)