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:
from sys import stdin,stdout
from itertools import combinations
from collections import defaultdict,OrderedDict
import math
import heapq

def listIn():
    return list((map(int,stdin.readline().strip().split())))

def stringListIn():
    return([x for x in stdin.readline().split()])
    
def intIn():
    return (int(stdin.readline()))

def stringIn():
    return (stdin.readline().strip())


if __name__=="__main__":
    x=intIn()
    flag=False
    for i in range(1,x+1):
        for j in range(1,x+1):
            if i*j>x and i%j==0 and (i//j)<x:
                print(i,j)
                flag=True
                break
                    
        if flag:
            break
    if not flag:
        print(-1)