Starting Out with Java: From Control Structures through Data Structures (4th Edition) (What's New in Computer Science)
4th Edition
ISBN: 9780134787961
Author: Tony Gaddis, Godfrey Muganda
Publisher: PEARSON
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Chapter 15, Problem 8TF
True or False: Some problems can be solved through recursion only.
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Recursive functions are ones that repeat themselves repeatedly.
Recursion is the best and the fastest way to solve any problem.True or False
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].
Chapter 15 Solutions
Starting Out with Java: From Control Structures through Data Structures (4th 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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- q6arrow_forwardPascal'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_forwardMagic 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_forward
- Indirect recursion is when function A calls function B, which in turn calls function A. is it true or false.arrow_forwardRecursive Power MethodWrite a method called powCal that uses recursion to raise a number to a power. The method should accept two arguments: The first argument is the exponent and the second argument is the number to be raised (example” powCal(10,2) means 210). Assume that the exponent is a nonnegative integer. Demonstrate the method in a program called Recursive (This means that you need to write a program that has at least two methods: main and powCal. The powCal method is where you implement the requirements above and the main method is where you make a method call to demonstrate how your powCal method work).arrow_forwardsolve q6 only pleasearrow_forward
- solve q5 only pleasearrow_forwardLab Goal : This lab was designed to teach you more about recursion. Lab Description : luckyThrees will return a count of the 3s in the number unless the 3 is at the start. A 3 at the start of the number does not count. /* luckyThrees will return the count of 3s in the number* unless the 3 is at the front and then it does not count* 3 would return 0* 31332 would return 2* 134523 would return 2* 3113 would return 1* 13331 would return 3* 777337777 would return 2* the solution to this problem must use recursion*/public static int luckyThrees( long number ){} Sample Data : 331332134523311313331777337777 Sample Output : 022132arrow_forwardTrue/False 8. Loops are more general than recursionarrow_forward
- Any problem that can be solved recursively can also be solved with a .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_forward1. Recursive Multiplication Write 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 + 4arrow_forward
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