Java How To Program (Early Objects)
10th Edition
ISBN: 9780133807943
Author: Deitel, Paul
Publisher: Pearson Education
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Textbook Question
Chapter 2, Problem 6.4E
Given that
int y = (a * x) * x * x + 7;
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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 2 Solutions
Java How To Program (Early Objects)
Ch. 2 - Fill in the blanks in each of the following...Ch. 2 - Fill in the blanks in each of the following...Ch. 2 - Fill in the blanks in each of the following...Ch. 2 - Fill in the blanks in each of the following...Ch. 2 - Fill in the blanks in each of the following...Ch. 2 - Fill in the blanks in each of the following...Ch. 2 - Prob. 1.7SRECh. 2 - State whether each of the following is true or...Ch. 2 - State whether each of the following is true or...Ch. 2 - State whether each of the following is true or...
Ch. 2 - State whether each of the following is true or...Ch. 2 - State whether each of the following is true or...Ch. 2 - Write statements to accomplish each of the...Ch. 2 - Write statements to accomplish each of the...Ch. 2 - Write statements to accomplish each of the...Ch. 2 - Prob. 3.4SRECh. 2 - Prob. 3.5SRECh. 2 - Write statements to accomplish each of the...Ch. 2 - Prob. 4.1SRECh. 2 - Identify and correct the errors in each of the...Ch. 2 - Write declarations, statements or comments that...Ch. 2 - Write declarations, statements or comments that...Ch. 2 - Prob. 5.3SRECh. 2 - Write declarations, statements or comments that...Ch. 2 - Write declarations, statements or comments that...Ch. 2 - Write declarations, statements or comments that...Ch. 2 - Write declarations, statements or comments that...Ch. 2 - Write declarations, statements or comments that...Ch. 2 - Write declarations, statements or comments that...Ch. 2 - Write declarations, statements or comments that...Ch. 2 - Write declarations, statements or comments that...Ch. 2 - Using the statements you wrote in Exercise 2.5,...Ch. 2 - Fill in the blanks in each of the following...Ch. 2 - Fill in the blanks in each of the following...Ch. 2 - Fill in the blanks in each of the following...Ch. 2 - Fill in the blanks in each of the following...Ch. 2 - Prob. 1.5ECh. 2 - Fill in the blanks in each of the following...Ch. 2 - Write Java statements that accomplish each of the...Ch. 2 - Write Java statements that accomplish each of the...Ch. 2 - Write Java statements that accomplish each of the...Ch. 2 - Prob. 3.1ECh. 2 - State whether each of the following is true or...Ch. 2 - State whether each of the following is true or...Ch. 2 - State whether each of the following is true or...Ch. 2 - Assuming that x = 2 and y = 3, what does each of...Ch. 2 - Assuming that x = 2 and y = 3, what does each of...Ch. 2 - Assuming that x = 2 and y = 3, what does each of...Ch. 2 - Prob. 4.4ECh. 2 - Prob. 5.1ECh. 2 - Which of the following Java statements contain...Ch. 2 - Prob. 5.3ECh. 2 - Which of the following Java statements contain...Ch. 2 - Given that y=ax3+7, which of the following are...Ch. 2 - Given that y=ax3+7, which of the following are...Ch. 2 - Given that y=ax3+7, which of the following are...Ch. 2 - Given that y=ax3+7, which of the following are...Ch. 2 - Given that y=ax3+7, which of the following are...Ch. 2 - Given that y=ax3+7, which of the following are...Ch. 2 - State the order of evaluation of the operators in...Ch. 2 - Prob. 7.2ECh. 2 - State the order of evaluation of the operators in...Ch. 2 - Display the message "Enter an integer: ", leaving...Ch. 2 - Assign the product of variables b and c to the int...Ch. 2 - Use a comment to state that a program performs a...Ch. 2 - Prob. 9.1ECh. 2 - (Comparing Integers) Write an application that...Ch. 2 - Which of the following Java statements contain...Ch. 2 - Given that y = ax3 + 7, which of the following are...Ch. 2 - State the order of evaluation of the operators in...Ch. 2 - What does the following code print?...Ch. 2 - What does the following code print?...Ch. 2 - What does the following code print?...Ch. 2 - What does the following code print?...Ch. 2 - (Largest and Smallest Integers) Write an...Ch. 2 - (Odd or Even) Write an application that reads an...Ch. 2 - Write an application that reads two integers,...Ch. 2 - Write an application that displays a checkerboard...Ch. 2 - Circumference and Area of a Circle) Heres a peek...Ch. 2 - (Integer Value of a Character) Heres another peek...Ch. 2 - (Separating the Digits in an Integer) Write an...Ch. 2 - Prob. 25.1ECh. 2 - Prob. 26.1ECh. 2 - (Body Mass Index Calculator) We introduced the...Ch. 2 - (World Population Growth Calculator) Search the...
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