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())

def f(n):
    a=[]
    for i in range(1,n+1):
        for j in range(1,i+1):
            if i%j==0 and i*j>n and i//j<n:
                a=[i,j]
                return a

    return a

if n==1:
    print(-1)
else:

    a=f(n)
    if a==[]:
        print(-1)
    else:
        print(a[0],a[1])