Write a C$++$ program that that creates a class Book that has the following private attributes: ID $($int$),$ title $($string$),$ price $($float$)$ and author $($string$).$ The class should contain public functions including all the required getter $($e$.$g$.,$ getID$)$ and setter $($e$.$g$.,$ se ID$)$ functions. Also, include a displayBookInfo function that displays the book information:

void setID$($int id$)$ to set the ID value

void setTitle $($string title$)$ to set the title value

void setPrice$($float price$)$ to set the price value

void setAuthor$($string author$)$ to set the author value

int getID$()$ to get the ID value

string getTitle$()$ to get the title value

float getPrice$()$ to get the price value

string getAuthor$()$ to get the author value

void displayBookInfo $()$ to display the book info as: "The book ID is $122232,$ title is xxx$,$ price is $39\mathrm{.}90,$ and author is yyy$"$ using the getter functions $($e$.$g$.,$ getID$).$

Then, use the Book class to write a C$++$ program for an e$-$book system. Your program should include ways for customers to buy a new book and view their list of purchased books.

Here are the steps:

a$.$ Create an array that can hold $5$ books

b$.$ Write a do$-$while loop that displays a menu to the user:

i$.$ Purchase a new book: if there are less than $5$ books, let the user type in the book information.

If there are already $5$ books, let the user know and continue the loop

ii$.$ Display all purchased books: display all purchased books

iii. Exit: terminate the loop