✓ Exercises Exercise: Write a method _ and _ that computes the region representing the intersection of two regions. Exercise: Write a method _contains__, which checks whether a n-dimensional point belongs to the region. Remember, a point belongs to the region if it belongs to one of the rectangles in the region. ✓ Membership of a point in a region #@title Membership of a point in a region def region_contains (self, p): ### YOUR SOLUTION HERE Region._contains = region_contains [ ] # Tests 10 points. assert (2, 1) in Region (Rectangle((0, 2), (0, 3)), Rectangle((4, 6), (5,8))) assert (2, 1) not in Region (Rectangle((0, 1), (0, 3)), Rectangle((4, 6), (5, 8))) Exercise: Write a method _le_ for regions such that R <= S if the region R is contained in the region S. You can test this by checking that the difference between R and S is empty.
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- Gradient FillIn this labwork are asked to write a GUI application again using AWT. This is a fairly easy labworkthat is more about getting used to synchronized online learning. You are expected to:• Draw two rectangles.• Both of them should be filled using GradientPaint() function of AWT. (Check out itsfunction definition that is listed below.)• The first gradient should be parallel to the diagonal of the first rectangle. The colorgradient should not be repeated (acyclic).• The second gradient should be horizontal. The color gradient should be repeated forthis one (cyclic).• You are free to choose the colors but other than that your output should be similar tothe example screenshot given below.Load your bag with some initial values, but do not fill it. Your client code should give the user the option to: display the contents of the bag using the class method “toVector” add values to the bag remove values from the bag sort the bag search for a value using their choice of either the iterative search or the recursive search - both need to be tested Allow the user to keep doing these things until they are done. Do not automatically sort the bag if the user chooses to search. Your program should give the user a message telling them they must first sort the bag before they can search.You decide what the user interface will be. Make it clear and easy to use. It can be very basic; nothing fancy. A menu driven program works well. Each value in your array should be unique - no value will appear in the array multiple times. Your array elements can be any data type – use a template class put in place in the code provided. You can write your client code to process a bag holding any…View Assessment X abe lll- Google Drive X blackboard.uob.edu.bh/ultra/courses/ 26720 1/outline/assessment/ 672949 1/overvi Assume you have a method (shown below) inside the ArrayQueue class public void unknown() Iifsize == 0) return; int i=front; int k=rear; for(int j=0; jDefine a class called Book. This class should store attributes such as the title, ISBN number, author, edition, publisher, and year of publication. Provide get/set methods in this class to access these attributes. Define a class called Bookshelf, which contains the main method. This class should create a few book objects with distinct names and store them in an ArrayList. This class should then list the names of all books in the ArrayList. Enhance the program by providing a sort function, which will sort the books in ascending order of their year of publication. Create a few more Bookobjects with the same names but with different edition numbers, ISBNs, and years of publication. Add these new Book objects to the ArrayList, and display the book list sorted by book name; for duplicate books of the same name, sort the list by year of publication. (Hint: You will need to define a comparator class that takes two Book objects as parameters of the compareTo This method should do a two-step…Create the following graph. Implement the following functions. 1. addEdge() that takes two vertices as two parameters and creates an Edge between them. 2. nonAdjacentVertices() that takes a single vertex as parameter, and returns an array of vertices that are NOT adjacent to that vertex. 3. Write a function addUnknownVertices() that takes a vertex as a parameters, and creates an Edge with the vertices that are NOT adjacent to it. 4. Write a method searchVertex() which takes an array of Vertices as parameters. The first member of the array will be the starting vertex and the last member will be the Vertex you want to reach. For example searchVertex(Vertex 0, Vertex 4, Vertex 3) will output “Vertex cannot be reached” since you can reach from 0 to 4, but cannot from 4 to 3. Again, searchVertex(Vertex 0, Vertex 1, Vertex 2, Node 3) will output “Vertex can be reached” since you can reach from 0 to 1, 1 to 2, 2 to 3.Create an AreaCalculator static class that has a CalculateArea(Shape s) static method which only has a Shape class as a parameter.In C# using an array Implement the inventory manager class. This class must have methods that do the following: Add a new item to the inventory manager. Remove an item from the inventory manager. Re-stock an item in the inventory manager. Display the items in the inventory manager. Search for an item in the inventory manager by at least two criteria (name, price, quantity, etc.). Test the inventory manager class with a driver program or unit tests. This may be a console application.Library class: Fields: books as arraylist to store all the books available in the library B3 B1 B2 В4 B5 Constructor: Library() } : No parameterized constructor to create the books object Methods: 1. addBook(Book bookobj): to add a new book to the arraylist; send the book object as a parameter to this method. 2. searchBook(String name): search a book by a given name in the arraylist. if exits print bookX found; otherwise print not found!!! 3. RemoveBook(String name): to delete a book object from arraylist by a given name: Hint: you need to use iterator class and remove method. Book class: Fileds: bookld, bookname. Constructor: two parameterized constructor that accepts name a parameter Book(int ID, String name) ..... Methods: 1. Accessor method to return the name of the book 2. Mutator method to change the id of the book. Use this Main method: in your program: public static void main(String args[]) { Library lib=new Library(); lib.addBook(new Book("b1")); lib.addBook(new Book("b2"));…Java Programming Class Car Attributes (all private): vin: String (5 digits) make: String model: String year: int price: double Methods: Parameterized constructor for initializing a new Car instance Getters for all attributes toString method to display a Car's attributes Executable Class Create an array of at least ten Car objects. Be sure to use many with identical last years and different prices. Create an ArrayList from the array. Shuffle the ArrayList. Sort the ArrayList first by year and then by price. See page 790-791. Using the forEach method and a lambda expression, print all cars sorted as above. Create a LinkedList from the ArrayList. Create an iterator capable of cycling both forward and backward through the LinkedList. Iterate forward through the entire LinkedList but without generating any output. Then iterate backwards through the LinkedList to print the cars data.✓ Membership of a point in a rectangle. #@title Membership of a point in a rectangle. def rectangle_contains(self, p): # The point is a tuple with one element per dimension of the rectangle. assert len(p) == self.ndims ### YOUR SOLUTION HERE Rectangle. contains = rectangle contains [ ] # Tests 10 points. assert (2, 3) in Rectangle((0, 4), (1, 5)) assert (2, 3) not in Rectangle((0, 4), (4, 5)) Exercise: Write a method _ eq_ such that r1 == r2 is True iff the two rectangles are identical, and a method _le_ such that r1 <= r2 returns True iff r1 is a subset of r2.Exercise 2: The intersection method computes the intersection of two rectangles- that is, the rectangle that would be formed by two overlapping rectangles if they were drawn, as shown at right. You call this method as follows: Rectangle r3 = r1.intersection (r2); Write a program IntersectionPrinter that constructs two rectangle objects, prints them as described in Exercise 1, and then prints the rectangle Intersection object that describes the intersection. Then the program should print the result of the intersection method when the rectangles do not overlap. Add a comment to your program that explains how you can tell whether the resulting rectangle is empty. The random class implements a random number generator, which produces sequences of numbers that appear to be random. To generate random integers, you construct an object of the Random class, and then apply the nextInt (50) gives you a random number between 0 and 49. Use the Random class to construct the two rectangle objects.Make a shopping cart program that implements the ArrayList class. Make a class named Item.java that contains the following data members, item_name, quantity, and price. Create the appropriate constructors and methods to initialize, access, and manipulate the data members, also create a toString method to print the item name, quantity, and price. Create an ArrayList of Items in the Main.For the INPUTThe user will enter the item name, quantity, and price of each item. A 'Y' will add another item to the shopping cart, and 'N' will stop the input.For the OUTPUTThe program then lists the items in the shopping cart using the toString method in the Item class. Calculate for the subtotal and total of the items in the cart.Format your toString method to have a double tab, "\t\t", after the item name, single tab, "\t", after quantity and double tab, "\t\t", after price. EXAMPLEINPUTPencil215.25yYellow Paper150.00nOUTPUTPencil 2 15.25 30.50Yellow Paper 1 50.00…SEE MORE QUESTIONS