Objective In this assignment, you will practice solving a problem using object-oriented programming techniques in Java; specifically, you will use the concept of object composition. Basically, you are asked to implement a Java application with several classes. Problem Description Implement three classes to keep track of a collection of triangles. You will also write a fourth class to test the implementation. The classes are described below. Point Class The Point class represents a point on a plane. Every object of type Point has the following attributes. x, an integer that stores the x-coordinate of a point on a plane y, an integer that stores the y-coordinate of the same point on a plane id, an integer that uniquely identifies the Point object. A static field (say, idCounter) to generate the value to be stored in id. Increment this field once within the constructor and store the value in id. Since there is exactly one instance of idCounter, every Point object will have a unique value stored in id. The class also has the following constructor and methods: A constructor that takes the x and y coordinates as parameters in that order and stores the two values in the respective fields. It also generates a unique id and stores the value in the id field. Getters for x and y. An override of toString(), which returns a properly-formatted String object, showing the values of id, x, and y coordinates, in an understandable way. An override of equals() and hashCode(). Two Point objects are equal only if they have the same id. All standard constraints on equals() must be satisfied. Triangle Class Every Triangle object has an array of Point objects of length 3. The cells store the three Point objects, representing the triangle vertices. id, an integer that uniquely identifies the Triangle object. A static field (say, idCounter) to generate the value for id. Increment this field once within the constructor and store the value in id. Besides these fields, the class has the following constructors and methods. A constructor that takes three Point objects as parameters and stores them in the three cells of the field of the Point array. It also generates a unique id and stores the value in the id field. A constructor with no parameters and uses the first constructor to store null values in each of three cells and generate and store a unique id. A constructor with a single Point object as parameter and uses the first constructor to store this Point in the first cell (index 0) and null values in the other two cells and generate and store a unique id. A method named setPoint() with two parameters: a) index an integer that specifies the vertex to be changed. b) point a Point object to be stored in the cell corresponding to index. The method stores the point in the appropriate cell (0 1, 2) given in index. If index is anything other than 0, 1, or 2, the method does not store the Point object. An override of toString(), which returns a properly-formatted String object, showing the values of id, and the Point objects in an understandable way. Use toString() of Point appropriately. An override of equals() and hashCode(). Two Triangle objects are equal only if they have the same id. All standard constraints on equals() must be satisfied. Triangles Class This is a collection class that uses java.util.LinkedList to store Triangle objects. The class has the following members. A field named triangles a linked list of Triangle objects. Use generics properly. A method named addTriangle() with a single parameter of type Triangle. The return type is void. The method adds the Triangle object to the triangles list. A method named deleteTriangle() with a single parameter of type Triangle. The return type is Triangle. The method deletes the Triangle object from the triangles list and returns the deleted Triangle. If the Triangle object is not in the list of Triangle objects, the method returns null. A method named getTriangle() with a single parameter of type int. The return type is Triangle. The method returns the Triangle object with an id equal to the one given in the parameter. If such a Triangle object is not in the list of Triangle objects, the method returns null. An override of toString(), which returns a properly-formatted String object, showing the values of all Triangle objects in an understandable way. Use toString() of Triangle appropriately. Driver class Your driver class should do the following actions: Create nine Point objects with your choice of x and y coordinates, but every coordinate value should be unique Create three Triangle objects. Each Point object should be stored in exactly one Triangle object. Invoke every constructor and method of Triangles, Triangle, and Point, at least once, including toString() and equals(). The toString() methods of Point and Triangle could be indirectly invoked, via the toString() method of Triangles. Do not worry about testing hashCode(). Grading Your grade in this assignment is based on the following: Your submission meets specifications as described above. You use the same name (match the case) for all methods as specified in the above description. The program is robust with no runtime errors or problems. You follow the good programming style as shown in the D2L document CodingStandards.pdf located in the Assignments folder. You are encouraged to use Eclipses menu commands to create constructors, getters, setters, toString(), equals(), and hashCode(). But notice that the code generated in equals() does not meet the specifications for naming (obj, instead of object) or use of curly brackets for code in if statements. It is your responsibility to take care of those issues. Follow the submission instructions. Specific Grading Criteria. 1. Point, Triangle, and Triangles classes are correctly and properly coded as specified. 24 points 2. The Driver class properly invokes all methods of the other three classes. 6 points 3. The program works correctly. 10 points 4. The program follows all coding conventions. 10 points