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())

a,b=0,0

for i in range(x+1):
    for j in range(x+1):
        if(i*j>x and i%j==0 and i//j<x):
            a=i
            b=j
            break
    if(a!=0 and b!=0):
        break
    
if(a!=0 and b!=0):
    print(a,b)
else:
    print("-1")