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:
x=int(input());
if(x!=1):
    for y in range(2, x+1):
        for z in range(int(x/2),x+1):
            if(z%y==0)and(z*y>x)and(z/y<x):
                k=z
                l=y
                v=1
                break
        if(v==1):
            print(k,l)
            break
else:
    print(-1)