Starting Out with Java: Early Objects (6th Edition)
6th Edition
ISBN: 9780134462011
Author: Tony Gaddis
Publisher: PEARSON
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Chapter 14, Problem 9TF
True or False: It is not necessary to have a base case in all recursive
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Magic Number of coding-:A number is said to be a magic number,if summing the digits of the number and then recursively repeating this process for the given sumuntill the number becomes a single digit number equal to 1.
Example: Number = 50113 => 5+0+1+1+3=10 => 1+0=1 [This is a Magic Number] Number = 1234 => 1+2+3+4=10 => 1+0=1 [This is a Magic Number] Number = 199 => 1+9+9=19 => 1+9=10 => 1+0=1 [This is a Magic Number] Number = 111 => 1+1+1=3 [This is NOT a Magic Number].
Recursive functions are ones that repeat themselves repeatedly.
Chapter 14 Solutions
Starting Out with Java: Early Objects (6th Edition)
Ch. 14.2 - It is said that a recursive algorithm has more...Ch. 14.2 - Prob. 14.2CPCh. 14.2 - What is a recursive case?Ch. 14.2 - What causes a recursive algorithm to stop calling...Ch. 14.2 - What is direct recursion? What is indirect...Ch. 14 - Prob. 1MCCh. 14 - This is the part of a problem that can be solved...Ch. 14 - This is the part of a problem that is solved with...Ch. 14 - This is when a method explicitly calls itself. a....Ch. 14 - Prob. 5MC
Ch. 14 - Prob. 6MCCh. 14 - True or False: An iterative algorithm will usually...Ch. 14 - True or False: Some problems can be solved through...Ch. 14 - True or False: It is not necessary to have a base...Ch. 14 - True or False: In the base case, a recursive...Ch. 14 - Find the error in the following program: public...Ch. 14 - Prob. 1AWCh. 14 - Prob. 2AWCh. 14 - What will the following program display? public...Ch. 14 - Prob. 4AWCh. 14 - What will the following program display? public...Ch. 14 - Convert the following iterative method to one that...Ch. 14 - Write an iterative version (using a loop instead...Ch. 14 - What is the difference between an iterative...Ch. 14 - What is a recursive algorithms base case? What is...Ch. 14 - What is the base case of each of the recursive...Ch. 14 - What type of recursive method do you think would...Ch. 14 - Which repetition approach is less efficient: a...Ch. 14 - When recursion is used to solve a problem, why...Ch. 14 - How is a problem usually reduced with a recursive...Ch. 14 - Prob. 1PCCh. 14 - isMember Method Write a recursive boolean method...Ch. 14 - String Reverser Write a recursive method that...Ch. 14 - maxElement Method Write a method named maxElement,...Ch. 14 - Palindrome Detector A palindrome is any word,...Ch. 14 - Character Counter Write a method that uses...Ch. 14 - Recursive Power Method Write a method that uses...Ch. 14 - Sum of Numbers Write a method that accepts an...Ch. 14 - Ackermarms Function Ackermanns function is a...Ch. 14 - Recursive Population Class In Programming...
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- Magic Number coding question---1. A number is said to be a magic number,if summing the digits of the number and then recursively repeating this process for the given sumuntill the number becomes a single digit number equal to 1. Example: Number = 50113 => 5+0+1+1+3=10 => 1+0=1 [This is a Magic Number] Number = 1234 => 1+2+3+4=10 => 1+0=1 [This is a Magic Number] Number = 199 => 1+9+9=19 => 1+9=10 => 1+0=1 [This is a Magic Number] Number = 111 => 1+1+1=3 [This is NOT a Magic Number].arrow_forwardRecursive PrintingDesign a recursive function that accepts an integer argument,n , and prints the numbers 1 up through n .arrow_forwardPYTHON RECURSIVE FUNCTION Write a python program that lists all ways people can line up for a photo (all permutations of a list of strings). The program will read a list of one word names, then use a recursive method to create and output all possible orderings of those names, one ordering per line. When the input is: Julia Lucas Mia then the output is (must match the below ordering): Julia Lucas Mia Julia Mia Lucas Lucas Julia Mia Lucas Mia Julia Mia Julia Lucas Mia Lucas Juliaarrow_forward
- In a recursive solution, the _____ case is easily calculated, provides a stopping criterion, and prevents infinite loops. In the _____ case, the solution calls itself.arrow_forwardTrue/False 5. All proper recursive definitions must have exactly one non-recursive base case.arrow_forwardWhen recursion is used to solve a problem, why must the recursive method call itself to solve a smaller version of the original problem?arrow_forward
- T/F 1. Infinite recursion occurs where a recursive form lacks a base case.arrow_forwardRecursive 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_forwardPalindrome should have a recursive definition.arrow_forward
- Pascal's triangle is a useful recursive definition that tells us the coefficients in the expansion of the polynomial (x + a)^n. Each element in the triangle has a coordinate, given by the row it is on and its position in the row (which you could call a column). Every number in Pascals triangle is defined as the sum of the item above it and the item above it and to the left. If there is a position that does not have an entry, we treat it as if we had a 0 there. *picture of the pascals triangle* Given the following recursive function signature, write the recursive function that takes a row and a column and finds the value at that position in the triangle. Assume that the triangle starts at row 0 and column 0. Examples: pascal(2, 1) -> 2, pascal(1, 2) -> 0 public int pascal(int row, int column) { }arrow_forward2. Sum: a recursive function that computes the sum of integers 1, 2, 3, …., n for a given number n. So Sum(6) should return 1 + 2 + 3 + 4 + 5 + 6 , i.e. 21.sum(n) = n + sum(n-1)arrow_forwardRecursive Syntax The recursive structure i.e of natural language like English can be expressed in syntax rules written in the format known as BNF (Bachus-Naur Form). While BNF is ordinarily used as a guide for parsing (that is, determining whether and how a given string follows the syntax rules), An example of this can be found in the sample program SimpleRandomSentences. You should write a similar program that implements the following rules:<sentence> ::= <simple_sentence> [ <conjunction> <sentence> ]<simple_sentence> ::= <noun_phrase> <verb_phrase><noun_phrase> ::= <proper_noun> |<determiner> [ <adjective> ]. <common_noun> [ who <verb_phrase> ]<verb_phrase> ::= <intransitive_verb> |<transitive_verb> <noun_phrase> |is <adjective> |believes that <simple_sentence><conjunction> ::= and | or | but | because<proper_noun> ::= Fred | Jane | Richard Nixon | Miss…arrow_forward
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