In Java please.

You are tasked with developing a Library Management System. The system should manage different types of library items: Books, Magazines, and DVDs$.$ Each type of item will implement specific rules for calculating late fees, and you will integrate an interface to enforce that all library items can calculate late fees and display details.

$$

Requirements

$1.$ Create an Interface: ILibraryItem

Methods:

void displayDetails$()$: Print the details of the library item. double calculateLateFee$($int daysLate$)$: Calculate the late fee for the item.

$$

$2.$ Create a Base Class: LibraryItem

Implements: The ILibraryItem interface.

Fields:

String title: The title of the item. String author: The author $($or publisher for magazines$/$DVDs$)$ of the item.

Constructor:

Initialize the fields title and author.

Methods:

Implement the displayDetails$()$ method to print the title and author of the item. Leave the calculateLateFee$()$ method abstract to enforce implementation by subclasses.

$$

$3.$ Create Subclasses

Book

Implements: Inherits from LibraryItem and implements calculateLateFee$()$ based on the rule:

Late Fee Rule: $$0\mathrm{.}50$ per day late.

Override the calculateLateFee$()$ method to implement this rule.

Magazine

Implements: Inherits from LibraryItem and implements calculateLateFee$()$ based on the rule:

Late Fee Rule: $$1\mathrm{.}00$ per day late.

Override the calculateLateFee$()$ method to implement this rule.

DVD

Implements: Inherits from LibraryItem and implements calculateLateFee$()$ based on the rule:

Late Fee Rule: $$1\mathrm{.}50$ per day late.

Override the calculateLateFee$()$ method to implement this rule.

$$

$4.$ Demonstrate Polymorphism in the main Method

Create an array of type ILibraryItem and populate it with:

One Book object. One Magazine object. One DVD object.

Use a loop to:

Call displayDetails$()$ for each item. Call calculateLateFee$()$ for each item with a value of $5$ days late and print the fee.

$$

Sample output:

$$

Title: The Great Gatsby

Author: F$.$ Scott Fitzgerald

Late Fee for $5$ days: $$2\mathrm{.}5$

$$

Title: Time Magazine

Author: Time Publishers

Late Fee for $5$ days: $$5\mathrm{.}0$

$$

Title: Inception

Author: Christopher Nolan

Late Fee for $5$ days: $$7\mathrm{.}5$