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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 2010-2022 Mike Mirzayanov

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