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Chapter 5.2, Problem 5.2.3CP
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The below program is used to iterate the while loop until the condition x<0 has been reached as follow as:

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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)
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)
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)

Chapter 5 Solutions

MyLab Programming with Pearson eText -- Access Card -- for Introduction to Java Programming and Data Structures, Comprehensive Version

Ch. 5.7 - Suppose the input is 2 3 4 5 0. What is the output...Ch. 5.7 - What does the following statement do? for ( ; ; )...Ch. 5.7 - If a variable is declared in a for loop control,...Ch. 5.7 - Convert the following for loop statement to a...Ch. 5.7 - Count the number of iterations in the following...Ch. 5.8 - Can you convert a for loop to a while loop? List...Ch. 5.8 - Can you always convert a while loop into a for...Ch. 5.8 - Identify and fix the errors in the following code:...Ch. 5.8 - Prob. 5.8.4CPCh. 5.9 - How many times is the println statement executed?...Ch. 5.9 - Show the output of the following programs. (Hint:...Ch. 5.11 - Will the program work if n1 and n2 are replaced by...Ch. 5.11 - In Listing 5.11. why is it wrong if you change the...Ch. 5.11 - In Listing 5. 11, how many times the loop body is...Ch. 5.11 - Prob. 5.11.4CPCh. 5.11 - Prob. 5.11.5CPCh. 5.12 - What is the keyword break for? What is the keyword...Ch. 5.12 - The for loop on the left is converted into the...Ch. 5.12 - Rewrite the programs TestBreak and TestContinue in...Ch. 5.12 - After the break statement in (a) is executed in...Ch. 5.13 - What happens to the program if (low high) in line...Ch. 5.14 - Simply the code in lined 27-32 using a conditional...Ch. 5 - (Count positive and negative numbers and compute...Ch. 5 - (Repeat additions) Listing 5.4,...Ch. 5 - (Conversion from kilograms to pounds) Write a...Ch. 5 - (Conversion from miles to kilometers) Write a...Ch. 5 - (Conversion from kilograms to pounds and pounds to...Ch. 5 - Prob. 5.6PECh. 5 - (Financial application: compute future tuition)...Ch. 5 - (Find the highest score) Write a program that...Ch. 5 - (Find the two highest scores) Write a program that...Ch. 5 - (Find numbers divisible by 5 and 6) Write a...Ch. 5 - (Find numbers divisible by 5 or 6, but not both)...Ch. 5 - (Find the smallest n such that n2 12,000) Use a...Ch. 5 - (Find the largest n such that n3 12,000) Use a...Ch. 5 - (Compute the greatest common divisor) Another...Ch. 5 - (Display the ASCII character table) Write a...Ch. 5 - (Find the factors of an integer) Write a program...Ch. 5 - (Display pyramid) Write a program that prompts the...Ch. 5 - (Display four patterns using Loops) Use nested...Ch. 5 - (Display numbers in a pyramid pattern) Write a...Ch. 5 - (Display prime numbers between 2 and 1,000) Modify...Ch. 5 - Prob. 5.21PECh. 5 - For the formula to compute monthly payment, see...Ch. 5 - (Demonstrate cancellation errors) A cancellation...Ch. 5 - Prob. 5.24PECh. 5 - (Compute ) You can approximate by using the...Ch. 5 - (Compute e) You can approximate e using the...Ch. 5 - (Display leap years) Write a program that displays...Ch. 5 - (Display the first days of each month) Write a...Ch. 5 - (Display calendars) Write a program that prompts...Ch. 5 - (Financial application: compound value) Suppose...Ch. 5 - (Financial application: compute CD value) Suppose...Ch. 5 - (Game: lottery) Revise Listing 3.8, Lottery.java,...Ch. 5 - (Perfect number) A positive integer is called a...Ch. 5 - (Game: scissor; rock, paper) Programming Exercise...Ch. 5 - (Summation) Write a program to compute the...Ch. 5 - (Business application: checking ISBN) Use loops to...Ch. 5 - (Decimal to binary) Write a program that prompts...Ch. 5 - (Decimal to octal) Write a program that prompts...Ch. 5 - (Financial application: find the sales amount) You...Ch. 5 - (Simulation: heads or tails) Write a program that...Ch. 5 - (Occurrence of max numbers) Write a program that...Ch. 5 - (Financial application: find the sales amount)...Ch. 5 - (Math: combinations) Write a program that displays...Ch. 5 - (Computer architecture: bit-level operations) A...Ch. 5 - (Statistics: compute mean and standard deviation)...Ch. 5 - (Reverse a string) Write a program that prompts...Ch. 5 - (Business: check ISBN-13) ISBN -13 is a new...Ch. 5 - (Process string) Write a program that prompts the...Ch. 5 - (Count vowels and consonants) Assume that the...Ch. 5 - Prob. 5.50PECh. 5 - (Longest common prefix) Write a program that...
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