Python Programming: An Introduction to Computer Science, 3rd Ed.
3rd Edition
ISBN: 9781590282755
Author: John Zelle
Publisher: Franklin, Beedle & Associates
expand_more
expand_more
format_list_bulleted
Concept explainers
Expert Solution & Answer
Chapter 13, Problem 5MC
Program Description Answer
The recursive function for Fibonacci function is inefficient because of the function does many repeated computations.
Hence, the correct answer is option “A”.
Expert Solution & Answer
Want to see the full answer?
Check out a sample textbook solution
Students have asked these similar questions
Backtracking normally uses ______ to find out all solutions to a computational problem. (recursion, iteration).
Recursion is the best and the fastest way to solve any problem.True or False
Algorithm problem w/ recurrence:
Frying pancakes: a small pan can only hold two pancakes at a time. Each pancake needs to be fried on both sides. Frying one side takes 1 minute, no matter how many pancakes are on the pan. Consider this recursive algorithm:
If n <= 2, fry the pancakes or the two pancakes together on each side.
If n > 2, fry any two pancakes together on each side and then apply the same process recursively to the remaining n-2 pancakes.
a. Set up and solve the recurrence for the amount of time this algorithm needs to fry n pancakes.
b. Explain why this algorithm does not fry the pancakes in the minimum time for all n > 0.
c. Give a correct recursive algorithm that executes the task in the minimum amount of time.
> I was not sure how to start this. I have had trouble with recurrence in the past. Also from the work that I did do, I didn't know how there could be a better algorithm. Thanks in advance
Chapter 13 Solutions
Python Programming: An Introduction to Computer Science, 3rd Ed.
Ch. 13 - Prob. 1TFCh. 13 - Prob. 2TFCh. 13 - Prob. 3TFCh. 13 - Prob. 4TFCh. 13 - Prob. 5TFCh. 13 - Prob. 6TFCh. 13 - Prob. 7TFCh. 13 - Prob. 8TFCh. 13 - Prob. 9TFCh. 13 - Prob. 10TF
Ch. 13 - Prob. 1MCCh. 13 - Prob. 2MCCh. 13 - Prob. 3MCCh. 13 - Prob. 4MCCh. 13 - Prob. 5MCCh. 13 - Prob. 6MCCh. 13 - Prob. 7MCCh. 13 - Prob. 8MCCh. 13 - Prob. 9MCCh. 13 - Prob. 10MCCh. 13 - Prob. 1DCh. 13 - Prob. 2DCh. 13 - Prob. 3DCh. 13 - Prob. 4DCh. 13 - Prob. 5DCh. 13 - Prob. 1PECh. 13 - Prob. 2PECh. 13 - Prob. 3PECh. 13 - Prob. 4PECh. 13 - Prob. 5PECh. 13 - Prob. 6PECh. 13 - Prob. 7PE
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
- Recursion is an approach in which the solution to a particular problem depends on solutions to same size instances of the same problem. Select one: O True O Falsearrow_forward4: A recursive algorithm for testing whether or not a number x is a natural numberarrow_forwardComputer Science A set M is defined recursively by: 2 and 3 belong to M If x and y belong to M then so does x·y Which of the following numbers belong to M if x≠y?arrow_forward
- Question-3 There are n number of students in a class. Assume a teacher enters and wants to shake hand according to an algorithm: Algorithm (X) à 2n a) Write a recursive function to solve this problem for any number of students also calculate the time complexity of your code, along with an idea what might be the best technique to solve this problem other than recursion.arrow_forwardRecursion is related to the mathematical technique calleda) looping b) sequencing c) induction d) contradictionarrow_forwardThe recursive Fibonacci program invokes the recursive method twice per recursion step True Falsearrow_forward
- Calculating Fibonacci number: Write down the pseudocode for originally calculating Fibonacci number (without using dynamic programming) Write down the pseudocode for originally calculating Fibonacci number using dynamic programming, iteratively Write down the pseudocode for originally calculating Fibonacci number using dynamic programming, recursively What’s the difference between these three?arrow_forwardDesign and implement a recursive program that solves the Nonattacking Queens problem. That is, write a program to determine how eight queens can be positioned on an eight-by-eight chessboard so that none of them is in the same row, column, or diagonal as any other queen. There are no other chess pieces on the board. Design and implement a recursive program that solves the Nonattacking Queens problem. That is, write a program to determine how eight queens can be positioned on an eight-by-eight chessboard so that none of them is in the same row, column, or diagonal as any other queen. There are no other chess pieces on the board. Design and implement a recursive program that solves the Nonattacking Queens problem. That is, write a program to determine how eight queens can be positioned on an eight-by-eight chessboard so that none of them is in the same row, column, or diagonal as any other queen. There are no other chess pieces on the board.arrow_forward4. CodeW. X b For fun X Solved x b Answer x+ Ohttps://codeworko... CodeWorkout X264: Recursion Programming Exercise: Multiply For function multiply,write the missing base case condition and action. This function will multiply two numbers x and y.You can assume that both x and y are positive. Examples: multiply(2, 3) -> 6 Your Answer: 1 public int multiply(int x, int y) { 2. if > { > } else { return multiply(x 1, y) + y; 3. 5. { 7. 1:08 AM 50°F Clear 日arrow_forward
- АСTIVITY 3 RECURSION Instructions: Use any size of bond paper. Write your name, course and year, date in your answer sheets. Use ALL CAPS. I. Recursion: Prove the following using recursion. 1. Ifg is defined recursively by g(0) = 3 and g(n + 1) = 2" – n. Find g(1), g(3), g(5), g(7) and g(9)arrow_forwardAny problem that can be solved recursively can also be solved with a .arrow_forwardQuestion-3 There are n number of students in a class. Assume a teacher enters and wants to shake hand according to an algorithm: Algorithm (X) à 2n a) Write a recursive function to solve this problem for any number of students also calculate the time complexity of your code, along with an idea what might be the best technique to solve this problem other than recursion. b) Consider this Algorithm-Z , Taking list of integer as input List Of Integer: X(Integer: number) List Of Integer: Y Integer: i = 2 While (i < number) While (number Mod i == 0) Y.Add(i) number = number / i End While i = i + 1 End While If (number > 1) Then Y.Add(number) Return Y End X (i) Explain what Algorithm Z is doing? (ii) Analyze the complexity of Algo-Z and then write an algorithm Better-Algo-X that does exactly the same thing but with a strictly better time complexityarrow_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 Learning
C++ Programming: From Problem Analysis to Program...
Computer Science
ISBN:9781337102087
Author:D. S. Malik
Publisher:Cengage Learning