# 10. Abstract classes and inheritance in Scala homework

## Задания
### Preface
Implement all the things with `???` body.
*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-10`. You *should not* commit your solution to your `*master*` branch, only to `homework-10` branch.
You can do as many commits as you want to `homework-10`.
Please provide any commit wiht meaningful commit message following the format

HOMEWORK-10 - <brief explanation>

<detailed explanation if neede>

Yes, `HOMEWORK-10` is in upper case.
Yes, `HOMEWORK-10` 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!

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

#### Set operations
You are challenged to implement tree-like set for integers based on characteristic functions.

The set should support following operations:
* inclusion
* **[Optional task]** removing
* if contains
* ∪ — union
* ∩ — intersection
* ∖ — complement
* ∆ — disjunctive union

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

#### Peano numbers operations
You are challenged to implement peano numbers.

The set should support following operations:
* isZero
* predecessor
* successor
* \+
* \-
* **[Optional task**] toInt
* **[Optional task]** fromInt

#### Test cases
Test cases deliberately set empty. Please discuss in Q&A chat what cases could be added to tests.

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


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