Virtual contest is a way to take part in past contest, as close as possible to participation on time. It is supported only ICPC mode for virtual contests.
If you've seen these problems, a virtual contest is not for you - solve these problems in the archive.
If you just want to solve some problem from a contest, a virtual contest is not for you - solve this problem in the archive.
Never use someone else's code, read the tutorials or communicate with other person during a virtual contest.

No tag edit access

The problem statement has recently been changed. View the changes.

×
A. Ehab and another construction problem

time limit per test

1 secondmemory limit per test

256 megabytesinput

standard inputoutput

standard outputGiven an integer $$$x$$$, find 2 integers $$$a$$$ and $$$b$$$ such that:

- $$$1 \le a,b \le x$$$
- $$$b$$$ divides $$$a$$$ ($$$a$$$ is divisible by $$$b$$$).
- $$$a \cdot b>x$$$.
- $$$\frac{a}{b}<x$$$.

Input

The only line contains the integer $$$x$$$ $$$(1 \le x \le 100)$$$.

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

Codeforces (c) Copyright 2010-2021 Mike Mirzayanov

The only programming contests Web 2.0 platform

Server time: May/06/2021 14:02:39 (h2).

Desktop version, switch to mobile version.

Supported by

User lists

Name |
---|