$1.$ Design the Ball and Paddle Classes: $$ Use OOP principles to design the Ball and Paddle classes. $$ Implement a BallFactory using the Factory Method pattern to create different types of balls. $$ Ensure only one instance of the game can run at a time using the Singleton pattern. $2.$ Implement the GUI using Swing: $$ Create a main window for the game. $$ Add a panel to display the balls and paddle. $$ Implement user controls to move the paddle left and right. $3.$ Game Logic: $$ Implement the logic to make balls fall from the top of the window. $$ Detect collisions between the paddle and the balls. $$ Keep track of the score based on the type of ball caught. $$ Add a timer to limit the game duration.