
Starting Out with Python (4th Edition)
4th Edition
ISBN: 9780134444321
Author: Tony Gaddis
Publisher: PEARSON
expand_more
expand_more
format_list_bulleted
Concept explainers
Question
Chapter 12, Problem 4MC
Program Plan Intro
Problem Solving:
In Python, a problem can be divided into smaller parts only if it has an identical structure to the whole problem. Then, it can be solved using recursion.
Working method of recursive function:
A recursive function has two approaches. They are as follows:
- If a problem can be solved currently without using recursion, then use function to solve it and returns.
- If a problem cannot be solved currently, then the function reduces the problem into smaller parts only if it has a similar structure to the whole program. And the function calls itself to solve the sub-parts.
Problem cases:
In order to apply the above approaches into the program for solving it, then it is important to identify the problem case. There are two cases that are available in problem solving. They are base case and recursive case.
Expert Solution & Answer

Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Which of the following opens when you click the launcher in the Size group on the Ribbon?
Question 19Select one:
a.
Size dialog box
b.
Layout dialog box
c.
Width and Height dialog box
d.
Format dialog box
How do you resize a graphic object horizontally while keeping the center position fixed?
Question 20Select one:
a.
Drag a side sizing handle.
b.
Press [Ctrl] and drag a side sizing handle.
c.
Press [Alt] and drag a side sizing handle.
d.
Press [Shift] and drag a side sizing handle.
Which of the following indicates that a graphic is anchored to the nearest paragraph?
Question 18Select one:
a.
X and Y coordinates
b.
An anchor symbol
c.
A paragraph symbol
d.
ruler marks
Chapter 12 Solutions
Starting Out with Python (4th Edition)
Ch. 12.2 - It is said that a recursive algorithm has more...Ch. 12.2 - Prob. 2CPCh. 12.2 - What is a recursive case?Ch. 12.2 - What causes a recursive algorithm to stop calling...Ch. 12.2 - What is direct recursion? What is indirect...Ch. 12 - Prob. 1MCCh. 12 - A function is called once from a program's main...Ch. 12 - Prob. 3MCCh. 12 - Prob. 4MCCh. 12 - Prob. 5MC
Ch. 12 - Prob. 6MCCh. 12 - Any problem that can be solved recursively can...Ch. 12 - Actions taken by the computer when a function is...Ch. 12 - A recursive algorithm must _______ in the...Ch. 12 - A recursive algorithm must ______ in the base...Ch. 12 - An algorithm that uses a loop will usually run...Ch. 12 - Some problems can be solved through recursion...Ch. 12 - It is not necessary to have a base case in all...Ch. 12 - In the base case, a recursive method calls itself...Ch. 12 - In Program 12-2 , presented earlier in this...Ch. 12 - In this chapter, the rules given for calculating...Ch. 12 - Is recursion ever required to solve a problem?...Ch. 12 - When recursion is used to solve a problem, why...Ch. 12 - How is a problem usually reduced with a recursive...Ch. 12 - What will the following program display? def...Ch. 12 - Prob. 2AWCh. 12 - The following function uses a loop. Rewrite it as...Ch. 12 - Prob. 1PECh. 12 - Prob. 2PECh. 12 - Prob. 3PECh. 12 - Largest List Item Design a function that accepts a...Ch. 12 - Recursive List Sum Design a function that accepts...Ch. 12 - Prob. 6PECh. 12 - Prob. 7PECh. 12 - Ackermann's Function Ackermann's Function is a...
Knowledge Booster
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.Similar questions
- Which command in the Adjust group allows you to change one picture for another but retain the original picture's size and formatting? Question 17Select one: a. Change Picture b. Replace c. Swap d. Relinkarrow_forwardHow do you insert multiple rows at the same time? Question 10Select one: a. Select the number of rows you want to insert, then use an Insert Control or use the buttons on the Ribbon. b. Click Insert Multiple Rows in the Rows & Columns group. c. Select one row and click the Insert Above or Insert Below button. You will be prompted to choose how many rows to insert. d. You cannot insert multiple rows at the same time.arrow_forwardHow do you center the text vertically in each table cell? Question 9Select one: a. Select the table and click the Distribute Columns button. b. Select the table and click the Center button in the Paragraph group on the Home tab. c. Select the table and click the AutoFit button. d. Click the Select button in the Table group, click Select Table, then click the Align Center Left button in the Alignment group.arrow_forward
- A(n) ____ is a box formed by the intersection of a column and a row. Question 8Select one: a. divider b. table c. border d. cellarrow_forwardA ____ row is the first row of a table that contains the column headings. Question 7Select one: a. header b. primary c. title d. headingarrow_forwardThe Horse table has the following columns: ID - integer, auto increment, primary key RegisteredName - variable-length string Breed - variable-length string Height - decimal number BirthDate - date Delete the following rows: Horse with ID 5 All horses with breed Holsteiner or Paint All horses born before March 13, 2013 To confirm that the deletes are correct, add the SELECT * FROM HORSE; statement.arrow_forward
- Why is Linux popular? What would make someone choose a Linux OS over others? What makes a server? How is a server different from a workstation? What considerations do you have to keep in mind when choosing between physical, hybrid, or virtual server and what are the reasons to choose a virtual installation over the other options?arrow_forwardObjective you will: 1. Implement a Binary Search Tree (BST) from scratch, including the Big Five (Rule of Five) 2. Implement the TreeSort algorithm using a in-order traversal to store sorted elements in a vector. 3. Compare the performance of TreeSort with C++'s std::sort on large datasets. Part 1: Understanding TreeSort How TreeSort Works TreeSort is a comparison-based sorting algorithm that leverages a Binary Search Tree (BST): 1. Insert all elements into a BST (logically sorting them). 2. Traverse the BST in-order to extract elements in sorted order. 3. Store the sorted elements in a vector. Time Complexity Operation Average Case Worst Case (Unbalanced Tree)Insertion 0(1log n) 0 (n)Traversal (Pre-order) 0(n) 0 (n)Overall Complexity 0(n log n) 0(n^2) (degenerated tree) Note: To improve performance, you could use a…arrow_forwardI need help fixing the minor issue where the text isn't in the proper place, and to ensure that the frequency cutoff is at the right place. My code: % Define frequency range for the plot f = logspace(1, 5, 500); % Frequency range from 10 Hz to 100 kHz w = 2 * pi * f; % Angular frequency % Parameters for the filters - let's adjust these to get more reasonable cutoffs R = 1e3; % Resistance in ohms (1 kΩ) C = 1e-6; % Capacitance in farads (1 μF) % For bandpass, we need appropriate L value for desired cutoffs L = 0.1; % Inductance in henries - adjusted for better bandpass response % Calculate cutoff frequencies first to verify they're in desired range f_cutoff_RC = 1 / (2 * pi * R * C); f_resonance = 1 / (2 * pi * sqrt(L * C)); Q_factor = (1/R) * sqrt(L/C); f_lower_cutoff = f_resonance / (sqrt(1 + 1/(4*Q_factor^2)) + 1/(2*Q_factor)); f_upper_cutoff = f_resonance / (sqrt(1 + 1/(4*Q_factor^2)) - 1/(2*Q_factor)); % Transfer functions % Low-pass filter (RC) H_low = 1 ./ (1 + 1i * w *…arrow_forward
- My code is experincing minor issue where the text isn't in the proper place, and to ensure that the frequency cutoff is at the right place. My code: % Define frequency range for the plot f = logspace(1, 5, 500); % Frequency range from 10 Hz to 100 kHz w = 2 * pi * f; % Angular frequency % Parameters for the filters - let's adjust these to get more reasonable cutoffs R = 1e3; % Resistance in ohms (1 kΩ) C = 1e-6; % Capacitance in farads (1 μF) % For bandpass, we need appropriate L value for desired cutoffs L = 0.1; % Inductance in henries - adjusted for better bandpass response % Calculate cutoff frequencies first to verify they're in desired range f_cutoff_RC = 1 / (2 * pi * R * C); f_resonance = 1 / (2 * pi * sqrt(L * C)); Q_factor = (1/R) * sqrt(L/C); f_lower_cutoff = f_resonance / (sqrt(1 + 1/(4*Q_factor^2)) + 1/(2*Q_factor)); f_upper_cutoff = f_resonance / (sqrt(1 + 1/(4*Q_factor^2)) - 1/(2*Q_factor)); % Transfer functions % Low-pass filter (RC) H_low = 1 ./ (1 + 1i * w *…arrow_forwardI would like to know the main features about the following three concepts: 1. Default forwarded 2. WINS Server 3. IP Security (IPSec).arrow_forwardmap the following ER diagram into a relational database schema diagram. you should take into account all the constraints in the ER diagram. Underline the primary key of each relation, and show each foreign key as a directed arrow from the referencing attributes (s) to the referenced relation. NOTE: Need relational database schema diagramarrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- C++ Programming: From Problem Analysis to Program...Computer ScienceISBN:9781337102087Author:D. S. MalikPublisher:Cengage LearningEBK JAVA PROGRAMMINGComputer ScienceISBN:9781337671385Author:FARRELLPublisher:CENGAGE LEARNING - CONSIGNMENTC++ for Engineers and ScientistsComputer ScienceISBN:9781133187844Author:Bronson, Gary J.Publisher:Course Technology Ptr
- Microsoft Visual C#Computer ScienceISBN:9781337102100Author:Joyce, Farrell.Publisher:Cengage Learning,Programming Logic & Design ComprehensiveComputer ScienceISBN:9781337669405Author:FARRELLPublisher:CengageEBK JAVA PROGRAMMINGComputer ScienceISBN:9781305480537Author:FARRELLPublisher:CENGAGE LEARNING - CONSIGNMENT

C++ Programming: From Problem Analysis to Program...
Computer Science
ISBN:9781337102087
Author:D. S. Malik
Publisher:Cengage Learning

EBK JAVA PROGRAMMING
Computer Science
ISBN:9781337671385
Author:FARRELL
Publisher:CENGAGE LEARNING - CONSIGNMENT

C++ for Engineers and Scientists
Computer Science
ISBN:9781133187844
Author:Bronson, Gary J.
Publisher:Course Technology Ptr

Microsoft Visual C#
Computer Science
ISBN:9781337102100
Author:Joyce, Farrell.
Publisher:Cengage Learning,
Programming Logic & Design Comprehensive
Computer Science
ISBN:9781337669405
Author:FARRELL
Publisher:Cengage

EBK JAVA PROGRAMMING
Computer Science
ISBN:9781305480537
Author:FARRELL
Publisher:CENGAGE LEARNING - CONSIGNMENT