Introduction to Algorithms
3rd Edition
ISBN: 9780262033848
Author: Thomas H. Cormen, Ronald L. Rivest, Charles E. Leiserson, Clifford Stein
Publisher: MIT Press
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Chapter 35.1, Problem 1E
Program Plan Intro
To provide an illustration of the graph such that
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Suppose that the two Rank methods below are added to the Skip List class on Blackboard.
public int Rank(T item)
Returns the rank of the given item.
public T Rank(int i)
Returns the item with the given rank i.
Requirements
1. Describe in a separate Design Document what additional data is needed and how that data is used to
support an expected time complexity of O(log n) for each of the Rank methods. Show as well that the
methods Insert and Remove can efficiently maintain this data as items are inserted and removed. (7
marks)
2. Re-implement the methods Insert and Remove of the Skip List class to maintain the augmented data in
expected O(log n) time. Using the Contains method, ensure that added items are distinct. (6 marks)
3. Implement the two Rank methods. (8 marks)
4. Test your new methods thoroughly. Include your test cases and results in a Test Document. (4 marks)
https://docs.google.com/document/d/1lk0DgaWfVezagyjAEskyPoe9Ciw3J2XUH_HQfnWSmwU/edit?usp=sharing
use the link to answer the question below
b) As part of your listed data elements, define the following metadata for each: Data/FieldType, Field Size, and any possible constraint/s or needed
c) Identify and describe the relationship/s among the tables. Please provide an example toillustrate Referential Integrity and explain why it is essential for data credibility.
I have inserted the data elements below for reference
Highlight the main differences between Computer Assisted Coding and Alone Coding with their similarities
Chapter 35 Solutions
Introduction to Algorithms
Ch. 35.1 - Prob. 1ECh. 35.1 - Prob. 2ECh. 35.1 - Prob. 3ECh. 35.1 - Prob. 4ECh. 35.1 - Prob. 5ECh. 35.2 - Prob. 1ECh. 35.2 - Prob. 2ECh. 35.2 - Prob. 3ECh. 35.2 - Prob. 4ECh. 35.2 - Prob. 5E
Ch. 35.3 - Prob. 1ECh. 35.3 - Prob. 2ECh. 35.3 - Prob. 3ECh. 35.3 - Prob. 4ECh. 35.3 - Prob. 5ECh. 35.4 - Prob. 1ECh. 35.4 - Prob. 2ECh. 35.4 - Prob. 3ECh. 35.4 - Prob. 4ECh. 35.5 - Prob. 1ECh. 35.5 - Prob. 2ECh. 35.5 - Prob. 3ECh. 35.5 - Prob. 4ECh. 35.5 - Prob. 5ECh. 35 - Prob. 1PCh. 35 - Prob. 2PCh. 35 - Prob. 3PCh. 35 - Prob. 4PCh. 35 - Prob. 5PCh. 35 - Prob. 6PCh. 35 - Prob. 7P
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- Suppose that the MinGap method below is added to the Treap class on Blackboard. public int MinGap ( ) Returns the absolute difference between the two closest numbers in the treap. For example, if the numbers are {2, 5, 7, 11, 12, 15, 20} then MinGap would returns 1, the absolute difference between 11 and 12. Requirements 1. Describe in a separate Design Document what additional data is needed and how that data is used to support an time complexity of O(1) for the MinGap method. Show as well that the methods Add and Remove can efficiently maintain this data as items are added and removed. (6 marks) 2. Re-implement the methods Add and Remove of the Treap class to maintain the augmented data in expected O(log n) time. (6 marks) 3. Implement the MinGap method. (4 marks) 4. Test your new method thoroughly. Include your test cases and results in a Test Document. (4 marks)arrow_forwardSuppose that the two Rank methods below are added to the Skip List class on Blackboard. public int Rank (T item) Returns the rank of the given item. public T Rank(int i) Returns the item with the given rank i. Requirements 1. Describe in a separate Design Document what additional data is needed and how that data is used to support an expected time complexity of O(log n) for each of the Rank methods. Show as well that the methods Insert and Remove can efficiently maintain this data as items are inserted and removed. (7 marks) 2. Re-implement the methods Insert and Remove of the Skip List class to maintain the augmented data in expected O(log n) time. Using the Contains method, ensure that added items are distinct. (6 marks) 3. Implement the two Rank methods. (8 marks) 4. Test your new methods thoroughly. Include your test cases and results in a Test Document. (4 marks)arrow_forwardSuppose that the two Rank methods below are added to the Skip List class on Blackboard. public int Rank (T item) Returns the rank of the given item. public T Rank(int i) Returns the item with the given rank i. Requirements 1. Describe in a separate Design Document what additional data is needed and how that data is used to support an expected time complexity of O(log n) for each of the Rank methods. Show as well that the methods Insert and Remove can efficiently maintain this data as items are inserted and removed. (7 marks) 2. Re-implement the methods Insert and Remove of the Skip List class to maintain the augmented data in expected O(log n) time. Using the Contains method, ensure that added items are distinct. (6 marks) 3. Implement the two Rank methods. (8 marks) 4. Test your new methods thoroughly. Include your test cases and results in a Test Document. (4 marks)arrow_forward
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