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())
breakthis = False;
for a in range(1,n+1):
    for b in range(1,a+1):
        if((a%b) == 0 and (a*b) >n and (a/b)<n):
            breakthis=True
            break
    if(breakthis):
        break
if(breakthis):
    print(str(a) + " " + str(b))
else:
    print(-1)