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