Starting Out with Python (4th Edition)
4th Edition
ISBN: 9780134444321
Author: Tony Gaddis
Publisher: PEARSON
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Textbook Question
Chapter 12, Problem 10MC
A recursive
a. solve the problem without recursion
b. reduce the problem to a smaller version of the original problem
c. acknowledge that an error has occurred and abort the
d. enlarge the problem to a larger version of the original problem
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Students have asked these similar questions
The following recursion occurs when there are more than two calls for each non-base case: :
c)Multiple recursion
d)Two Step Recursion
a)Linear recursion
b)Binary recursion
Simple answer.
Choose a or b or c or d.
In a recursive solution, the _____ case is easily calculated, provides a stopping criterion, and prevents infinite loops. In the _____ case, the solution calls itself.
1. What is the difference between an iterative algorithm and a recursive algorithm?
2. What is a recursive algorithm’s base case? What is the recursive case?
3. What is the base case of each of the recursive methods listed in Algorithm Workbench 3, 4, and 5?
4. What type of recursive method do you think would be more difficult to debug: one that uses direct recursion or one that uses indirect recursion? Why?
5. Which repetition approach is less efficient: a loop or a recursive method? Why?
6. When recursion is used to solve a problem, why must the recursive method call itself to solve a smaller version of the original problem?
7. How is a problem usually reduced with a recursive method?
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...
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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
- A recursive function’s solvable problem is known as its __________. This causes the recursion to stop.arrow_forwardLet S be the set of positive integers defined by: Basis step: 4 € S. Recursive step: If nE S, then 5n +2 e S and n? e S. (a) Find four elements of S that are less than 120. (b) What is the remainder of each of the four elements of S you listed above when they are each divided by 6. Note: You should get the same number. Show the math for each number. (c) State a hypothesis about the remainder of any element of S when the element is divided by 6. Explain how you would use structural induction over the set S to prove your hypothesis. Note: You do not need to actually prove your hypothesis, but clearly explain the steps you would take including the basis step and the inductive step.arrow_forwardRecursion 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_forward
- Recursive Power FunctionWrite a function that uses recursion to raise a number to a power. The function should accept two arguments: the number to be raised and the exponent. Assume that the exponent is a nonnegative integer. Demonstrate the function in a program. SAMPLE RUN #0: ./recursiveExponent Hide Invisibles Highlight: Show Highlighted Only 2^3=8↵ 2^4=16↵ 3^3=27↵ 6^3=216↵ 7^7=823543↵ 10^9=1000000000↵arrow_forwardAlgorithm 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 advancearrow_forwardIs the recursive solution to the triangle number the best way to obtain the triangle number? A. Yes, because recursive solutions are always efficient. B. Yes, because the shape of the triangle number diagram lends itself to a recursive solution. C. No, the triangle number can be found in a more efficient manner. D. None of the above are true.arrow_forward
- 2. PLEASE USE RECURSION AND C PROGRAMMING LANGUAGE ONLY Ask a number N and finds the addition of N numbers using recursion.When done, ask user to repeat or end the program.arrow_forwardRecursive Multiplication Design a recursive function that accepts two arguments into the parameters x and y. The function should return the value of x times y. Remember, multiplication can be performed as repeated addition as follows: 7×4=4+4+4+4+4+4+4(To keep the function simple, assume that x and y will always hold positive nonzero integers.)arrow_forwardRecursion is the best and the fastest way to solve any problem.True or Falsearrow_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_forwardWhen should you choose a recursive algorithm over an iterative algorithm?arrow_forward
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