$1.$ Design a Library Management system as follows:

a$.$ Define a class name Author

$$ It has two instance variables: First name and Last Name

$$ Write the set and get methods

$$ Write the toString method

b$.$ Define a class named Publication

$$ It has four instance variables:

$$ title: the title of the Publication. It is a String value. The title must contain at least $10$ characters to be accepted.

$$ publicationDate: an object of class Date $($see class LocalDate Appendix$)$ that specifies the date of publication. The year must be greater than $1900$ for the date to be accepted.

$$ numberOfAuthors: specifies the number of authors.

$$ authors : an array of authors. Each author is an Author objects.

$$ count: a static attribute used to calculates the number of created Publication objects. You must update count for each newly created object

$$ The class Publication has one constructor with arguments $($String title, Author $[]$ a$,$ LocalDate date$)$ that sets the values of the four instance variables to those passed as parameters. LocalDate class defined in the appendix below.

$$ The class Publication has second constructor with arguments $($String title, int nbr$,$ LocalDate date$)$ that sets the values of instance variables to those passed as parameters and create the array of authors with nbr authors.

$$ Finally, it defines the toString$()$ method that returns the string in the format $$author$1,$ author$2,...,[$title$],$ publicationDate$$

c$.$ Write a class Book that is derived from Publication.

$$ This class contains one instance variable price, which is a double that specifies the price of the book.

$$ The Book class has a method called compareTo$($Book B$)$ that returns $-1$ if that the Price of the Book B is strictly greater than the Price of the current book, and returns $1$ in the opposite case, and $0$ is both prices are equal.

d$.$ Create class TestPublication with a main method that produces the following output

Number of created books: $2$

Book$[0]$: $($Anis Koubaa$),($Basit Qurashi$),[$Computer Programming$],10/10/2010.$ Price: $220\mathrm{.}00$

Book$[1]$: $($Mohamed Affendi$),[$Networking$],5/9/2012.$

The program must have the following operations:

$$ Create three authors$$ objects named author$1$ for $($Anis Koubaa$),$ author$2$ for $($Basit Qurashi$)$ and author$3$ for $($Mohamed Affendi$).$

$$ Create an array of authors that contains only two authors author$1$ and author$2$

$$ Create an array of authors that contains only one author author$3$

$$ Create an array books that contains two Book objects, with book attributes are provided in the program output above.

$$ Display the output shown above.