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:
# bsdk idhar kya dekhne ko aaya hai, khud kr!!!
# from math import *
# from itertools import *
# import random
flag = 0
n = int(input())
for i in range(2, n+1):
    for j in range(1, n+1):
        if i % j == 0 and i * j > n and (i / j) < n:
            print(i, j)
            flag = 1
            break
        else:
            continue
    if flag == 1:
        break
    else:
        continue
else:
    print(-1)