Starting Out with Java: From Control Structures through Objects (7th Edition) (What's New in Computer Science)
7th Edition
ISBN: 9780134802213
Author: Tony Gaddis
Publisher: PEARSON
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Textbook Question
Chapter 15, Problem 3MC
This is the part of a problem that is solved with recursion.
- a. base case
- b. iterative case
- c. unknown case
- d. recursion case
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The part of a problem that is solved with recursion is the case.a. baseb. iterativec. unknownd. recursive
Is the recursive solution to the triangle number the best way to obtain the triangle number?
A.
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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.
Indirect recursion is when function A calls
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Chapter 15 Solutions
Starting Out with Java: From Control Structures through Objects (7th Edition) (What's New in Computer Science)
Ch. 15.2 - It is said that a recursive algorithm has more...Ch. 15.2 - Prob. 15.2CPCh. 15.2 - What is a recursive case?Ch. 15.2 - What causes a recursive algorithm to stop calling...Ch. 15.2 - What is direct recursion? What is indirect...Ch. 15 - Prob. 1MCCh. 15 - This is the part of a problem that can be solved...Ch. 15 - This is the part of a problem that is solved with...Ch. 15 - This is when a method explicitly calls itself. a....Ch. 15 - Prob. 5MC
Ch. 15 - Prob. 6MCCh. 15 - True or False: An iterative algorithm will usually...Ch. 15 - True or False: Some problems can be solved through...Ch. 15 - True or False: It is not necessary to have a base...Ch. 15 - True or False: In the base case, a recursive...Ch. 15 - Find the error in the following program: public...Ch. 15 - Prob. 1AWCh. 15 - Prob. 2AWCh. 15 - What will the following program display? public...Ch. 15 - Prob. 4AWCh. 15 - What will the following program display? public...Ch. 15 - Convert the following iterative method to one that...Ch. 15 - Write an iterative version (using a loop instead...Ch. 15 - What is the difference between an iterative...Ch. 15 - What is a recursive algorithms base case? What is...Ch. 15 - What is the base case of each of the recursive...Ch. 15 - What type of recursive method do you think would...Ch. 15 - Which repetition approach is less efficient: a...Ch. 15 - When recursion is used to solve a problem, why...Ch. 15 - How is a problem usually reduced with a recursive...Ch. 15 - Prob. 1PCCh. 15 - isMember Method Write a recursive boolean method...Ch. 15 - String Reverser Write a recursive method that...Ch. 15 - maxElement Method Write a method named maxElement,...Ch. 15 - Palindrome Detector A palindrome is any word,...Ch. 15 - Character Counter Write a method that uses...Ch. 15 - Recursive Power Method Write a method that uses...Ch. 15 - Sum of Numbers Write a method that accepts an...Ch. 15 - Ackermarms Function Ackermanns function is a...Ch. 15 - Recursive Population Class In Programming...
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- When recursion is used to solve a problem, why must the recursive method call itself to solve a smaller version of the original problem?arrow_forwardEx. 01 : Recursion About So far, we have learned that we can perform repetitive tasks using loops. However, another way is by creating methods that call themselves. This programming technique is called recursion and, a method that calls itself within it's own body is called a recursive method. One use of recursion is to perform repetitive tasks instead of using loops, since some problems seem to be solved more naturally with recursion than with loops. To solve a problem using recursion, it is broken down into sub-problems. Each sub-problem is similar to the original problem, but smaller in size. You can apply the same approach to each sub-problem to solve it recursively. All recursive methods use conditional tests to either 1. stop or 2. continue the recursion. Each recursive method has the following characteristics: 1. end/terminating case: One or more end cases to stop the recursion. 2. recursive case: reduces the problem in to smaller sub-problems, until it reaches (becomes) the end…arrow_forwardRecursion is the best and the fastest way to solve any problem.True or Falsearrow_forward
- Write a recursive function that takes a positive integer and returns the factorial of that integer. Attention, the function must be recursive, and its name must be "fatorial".arrow_forwardFind the odd one out? Select one: a. None of the options b. Direct recursion c. Circular recursion d. Tail recursionarrow_forwardThe word ladder game was invented by Lewis Carroll in 1877. The idea is to begin with a start word and then change one letter at a time until you arrive at an end word. Each word along the way must be an English word. For example, starting from FISH, you can arrive at MAST through the following word ladder:FISH, WISH, WASH, MASH, MAST Write a program that uses recursion to find the word ladder given a start word and an end word, or that determines no word ladder exists. Use the file words.txt that is available online with the source code for the book as your dictionary of valid words. This file contains 87,314 words. Your program does not need to find the shortest word ladder between words; any word ladder will do if one exists. list aalii aardvark aardvarks aardwolf aba abaca abaci abacist aback abacus abacuses abaft abalone abalones abamp abampere abandon abandoned abandonee abandoner abandonersarrow_forward
- 1. Let product(n,m) be a recursive method that computes the product of two positive integers, using only addition and subtraction. To make this method a recursive one, you are to make a) a base case when m = 1, b) a general case when m ≠ 1. For a general case, the return value should be n plus the result of a recursive call to the method product() with parameters n and m - 1. Write a short Java code for this method, along with a test program.arrow_forward1. 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?arrow_forwardWhich of the following in NOT a characteristic of recursion? There are one or more simple or base cases. There are smaller cases of the recursive cases. Smaller recursive cases eventually reach the base case. Base case is always put in if block, recursive in else block.arrow_forward
- Which of the following is/are true regarding the characteristics of recursion? a.Every recursive call reduces the original problem, bringing it increasingly closer to a base case until it becomes that case. b.Recursive method requires less memory than an iterative method. c. It is possible to convert every recursive method to an iterative method. d.The method is implemented using an if-else or a switch statement that leads to different cases. e.One or more base cases are used to stop recursion.arrow_forward9. Ackermann's Function Ackermann's function is a recursive mathematical algorithm that can be used to test how well a computer performs recursion. Write a method ackermann (m, n), which solves Ackermann's function. Use the following logic in your method: If m = 0 then return n + 1 If n = 0 then return ackermann (m Otherwise, return ackermann(m 1, 1) 1, ackermann (m, n - 1))arrow_forwardQuestion 5 When writing a recursive method, O you do not need to know ahead of time exactly how many levels of recursion will occur. O you must keep count of how many recursion call levels you have traversed. O you must make sure the method does not take any input parameters.arrow_forward
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