(Sort points in a plane) Write a program that meets the...

(Sort points in a plane) Write a program that meets the following requirements: - Define a class named Point with two data fields $x$ and $y$ to represent a point's $x$ - and $y$-coordinates. Implement the Comparable interface for comparing the points on $x$-coordinates. If two points have the same $x$-coordinates, compare their $y$-coordinates. - Define a class named CompareY that implements Comparator<Point>. Implement the compare method to compare two points on their $y$-coordinates. If two points have the same $y$-coordinates, compare their $x$-coordinates. - Randomly create 100 points and apply the Arrays . sort method to display the points in increasing order of their $x$-coordinates and in increasing order of their $y$-coordinates, respectively.

(Sort points in a plane) Write a program that meets the following requirements:
- Define a class named Point with two data fields $x$ and $y$ to represent a point's $x$ - and $y$-coordinates. Implement the Comparable interface for comparing the points on $x$-coordinates. If two points have the same $x$-coordinates, compare their $y$-coordinates.
- Define a class named CompareY that implements Comparator<Point>. Implement the compare method to compare two points on their $y$-coordinates. If two points have the same $y$-coordinates, compare their $x$-coordinates.
- Randomly create 100 points and apply the Arrays . sort method to display the points in increasing order of their $x$-coordinates and in increasing order of their $y$-coordinates, respectively.

Key Concepts

Random Number Generation

Random number generation is a technique used to create unpredictable or pseudo-random numbers. In programming, it is essential for simulating real-world scenarios, initializing data with random values, or generating test cases for algorithms, which in turn helps in verifying the correctness and performance of those algorithms.

Comparator Interface

The Comparator interface provides a way to define custom orderings for objects without altering their natural order. It is useful for sorting objects based on alternate criteria by implementing the compare method, allowing multiple sorting strategies to be applied to a single type of object.

Sorting Algorithms

Sorting algorithms are methods used to arrange data in a particular order, such as ascending or descending. Utilizing built-in sort functions, such as those provided in standard libraries, often relies on well-defined comparison mechanisms, such as those provided by the Comparable and Comparator interfaces, to order objects efficiently.

Object-Oriented Programming

Object-Oriented Programming (OOP) is a programming paradigm based on the concept of 'objects' that contain data and methods. OOP allows for encapsulation, inheritance, and polymorphism, making it easier to model real-world entities as software objects, design modular systems, and reuse code across projects.

Comparable Interface

The Comparable interface is used to define a natural ordering for objects of a class. By implementing the compareTo method, objects can be compared based on specific field values or characteristics, making it possible to sort collections of these objects using their inherent order.

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