” ADS2程序设计 辅导、 写作Java语言ADS2 2021 1 Assessed Exercise 2Algorithms and Data Structures (ADS2)Assessed Exercise 2This exercise is for submission using Moodle and counts for 10% of the total assessmentmark for this course.This exercise is worth a total of 30 points.The deadline for submission is Friday 26 March 2021 at 4:30pm.ExerciseThis exercise has two parts. The first Involves implementing in Java the Dynamic Set abstractdata type using two different data structures. The second involves running an empirical studyto compare the performance of each implementation.SubmissionSubmit the Java sources of your implementations and a short (max 3 pages) report describingwhat you have done in each part of the exercise. Your report should include a heading statingyour full name and matriculation number and clear instructions on how to run your code.Please make sure the report is in pdf format and your sources are not password protected.Part 1The Dynamic Set is an abstract data type (ADT) that can store distinct elements, without anyparticular order. There are five main operations in the ADT: ADD(S,x): add element x to S, if it is not present already REMOVE(S,x): remove element x from S, if it is present IS-ELEMENT(S,x): check whether element x is in set S SET-EMPTY(S): check whether set S has no elements SET-SIZE(S): return the number of elements of set SAdditionally, the Dynamic Set ADT defines the following set-theoretical operations: UNION(S,T): return the union of sets S and T INTERSECTION (S,T): return the intersection of sets S and T DIFFERENCE(S,T): returns the difference of sets S and T SUBSET(S,T): check whether Set S is a subset of set TImplement in Java the Dynamic Set ADT defined above usinga) a doubly linked list and [9]b) a binary search tree. [9]Observe that the ADT implementation should use Java Generics (see Lab 3) and operationsshould be in the form s.add(x), s.remove(x), etc. Explain in the report yourimplementation, noting the running time (using big Oh notation) of each operation in bothimplementations. Note you can use a self-balancing binary tree but no extra marks will beawarded. Also, you are not allowed to rely on Java library classes in your implementation.ADS2 2021 2 Assessed Exercise 2c) Suppose your implementation Based on a doubly linked list maintains the list sorted.Explain in the report what are the implications of such implementation choice on thecomplexity of operations ADD and IS-ELEMENT? [2]d) A naive implementation of operation UNION(S,T) in the implementation based onBST consists in taking all elements of BST S one by one, and insert them into BST T.Describe in the report an implementation with a better running time. Use big Ohnotation to indicate running times. [5]Part 2a) Compare the two implementations of the Dynamic Set ADT by carrying out thefollowing empirical study. First, populate (an initially empty) set S with all theelements from dataset int20k.txt Provided on Moodle under Lab/Files. Then,generate 100 random numbers in the interval [0, 49999]. Finally, for each randomnumber x record the time taken to execute IS-ELEMENT(S,x). What is the averagerunning time of IS-ELEMENT over 100 calls in the two implementations of the ADT?Comment and explain your findings. [3]b) What is the output of SET-SIZE(S)? [1]c) What is the height of the BST implementing set S [1]请加QQ：99515681 或邮箱：99515681@qq.com WX：codehelp
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