# 6. Functions, recursion and tail recursion in Scala homework

## Что нужно сделать
### Fork a repo
* Отправьте мне свой GitHub профайл, чтобы я дал Вам доступ к репозиторию.
* Сделайте fork репозитория [этого](https://github.com/KarazinScalaUsersGroup/scala-course-2020) репозитория.
* Убедитесь, что Ваш fork приватный.
* Добавьте меня в Ваш fork.

[Как сделать fork репозитория](https://docs.github.com/en/free-pro-team@latest/github/getting-started-with-github/fork-a-repo)

### Тема домашней работы
Внимательно просмотрите код.
* Основной код
* https://github.com/KarazinScalaUsersGroup/scala-course-2020/blob/master/src/main/scala/karazin/scala/users/group/recursion/Topic.scala
* Тесты
* https://github.com/KarazinScalaUsersGroup/scala-course-2020/blob/master/src/test/scala/karazin/scala/users/group/recursion/TopicSpecification.scala
* https://github.com/KarazinScalaUsersGroup/scala-course-2020/blob/master/src/test/scala/karazin/scala/users/group/recursion/arbitraries.scala
* https://github.com/KarazinScalaUsersGroup/scala-course-2020/blob/master/src/test/scala/karazin/scala/users/group/recursion/utils.scala

## Задания
### Preface
Implement all the things with `@Hack` annotation.
All implementations must be tail-recursive is possible.
Feel free to use internal methods/functions.
Feel free to adjust signatures of hacked methods/functions.
*All tests should pass.*
I have additional test for the functionality. My tests also *should pass*. Feel free to add more test cases.

### How to pass
Create a new branch `homework-6`. You *should not* commit your solution to your `*master*` branch, only to `homework-6` branch.
You can do as many commits as you want to `homework-6`.
Please provide any commit wiht meaningful commit message following the format

HOMEWORK-6 - <brief explanation>

<detailed explanation if neede>

Yes, `HOMEWORK-6` is in upper case.
Yes, `HOMEWORK-6` then ` ` (**space**) then `-` (**dash**) then ` ` (**space**) then brief explanation.

After the implementation (with tests) is done create *merge request* (aka code review aka pr) and add me as a reviewer... and the battle begins!

### Code templates
The implementation should be done here:
* https://github.com/KarazinScalaUsersGroup/scala-course-2020/blob/master/src/main/scala/karazin/scala/users/group/recursion/homework/Homework.scala
* https://github.com/KarazinScalaUsersGroup/scala-course-2020/blob/master/src/test/scala/karazin/scala/users/group/recursion/homework/HomeworkSpecification.scala
* https://github.com/KarazinScalaUsersGroup/scala-course-2020/blob/master/src/test/scala/karazin/scala/users/group/recursion/homework/arbitraries.scala

### 1. Boolean Operators
*Required task*
Implement eager boolean operations Not, And and Or.

Requirements:
* the function should not use embedded boolean operations
* the functions should be eager
* the function should use `if` expression and `true` and `false` boolean literals

### 2. Fermat Numbers
*Required task*
Implemet function which should calculate n-th Fermath number:
`Fn = 2 ^ (2 ^ n) + 1`, n is non-negative

Requirements:
* the function should not use multiplication and power operations
* the functions should only use addition operattion
* For more details [see](https://en.wikipedia.org/wiki/Fermat_number).

### 3. Look-and-say Sequence
*Required task*
Implement function which should calculate n-th number of Look-and-say sequence

For more details [see](https://en.wikipedia.org/wiki/Look-and-say_sequence).

### 4. Kolakoski sequence
*Optional super challenging task (I have no idea how to implement it)*
Implement function which should calculate n-th number of Kolakoski sequence

For more details [see](https://en.wikipedia.org/wiki/Kolakoski_sequence).

## Проблемы с подсветкой синтаксиса для Dotty
Проверьте настройки проекта:


## Ограничение доступа к форку
Удалите группу `scala-course-2020` из форка, как это показано здесь: