Data Structures and Algorithms in Java
6th Edition
ISBN: 9781118771334
Author: Michael T. Goodrich
Publisher: WILEY
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Write a program that draws a square fractal. Fractals are images that keep repeating their own image in ever-smaller versions. There exists numerous fractals and some fractals rely on computation of advanced mathematics. All fractals have a recursive quality and provide an ideal platform for practicing recursive concepts. You will note that from the four corners of the center rectangle, smaller rectangles are drawn and each rectangle in turn continues to draw three smaller rectangles until the rectangle is the size of one pixel.
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Chapter 5 Solutions
Data Structures and Algorithms in Java
Ch. 5 - Prob. 1RCh. 5 - Prob. 2RCh. 5 - Prob. 3RCh. 5 - Prob. 4RCh. 5 - Prob. 5RCh. 5 - Draw the recursion trace for the execution of...Ch. 5 - Prob. 7RCh. 5 - Describe a recursive algorithm for converting a...Ch. 5 - Prob. 9RCh. 5 - Prob. 10R
Ch. 5 - Prob. 11CCh. 5 - Prob. 12CCh. 5 - Give a recursive algorithm to compute the product...Ch. 5 - In Section 5.2 we prove by induction that the...Ch. 5 - Write a recursive method that will output all the...Ch. 5 - In the Towers of Hanoi puzzle, we are given a...Ch. 5 - Write a short recursive Java method that takes a...Ch. 5 - Write a short recursive Java method that...Ch. 5 - Use recursion to write a Java method for...Ch. 5 - Write a short recursive Java method that...Ch. 5 - Prob. 21CCh. 5 - Prob. 22CCh. 5 - Prob. 23CCh. 5 - Isabel has an interesting way of summing up the...Ch. 5 - Prob. 25CCh. 5 - Prob. 26CCh. 5 - Prob. 27PCh. 5 - Write a program for solving summation puzzles by...Ch. 5 - Prob. 29PCh. 5 - Write a program that can solve instances of the...
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- For this exercise, you will create several recursive functions in order to get a better understanding of how recursion works. In exercise 2, we will illustrate using recursion for creating art. Create a new project in IntelliJ called Recursion. Add a new Java class called Recursion with a public static main function. You will add several functions to your Recursion class as follows: 1 Write a recursive function int sum(int n) that adds up the numbers from n to 1 and print your result. For example from main do the following: Recursion recursion = new Recursion();System.out.println(recursion.sum(6)); 1.2 Write a recursive function factorial(int n) that calculates the factorial of n. Print out the results. Add your function to your Recursion class. 1.3. Write a recursive function powerOf10(int n) that calculates 10n. 1.4. Write a more general recursive function powerOfN(int x, int p) that calculates the power of xp. Do not use the Math.pow function. 1.5.…arrow_forwardMake a recursive method for factoring an integer n. First, find a factor f, then recursively factor n / f. This assignment needs a resource class and a driver class; these two classes will need to be in two separate files. The resource class will contain all of the methods and the driver class only needs to call the methods. The driver class needs to have only 5 lines of code. The code needs to be written in Java.arrow_forwardWrite a 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 (until -1), and use a recursive method to create and output all possible orderings of those names separated by a comma, one ordering per line. When the input is: Julia Lucas Mia -1 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
- Write a program that uses a recursive call to find the integer logb of a number. Where logb returns the integer log of a number in a designated base. For example, the integer base 10 log of 1234 is 3, and the integer base 2 log of 1234 is 10. This is a relatively easy calculation. You simply repeatedly divide the number by the base using integer division until the quotient is less than the base and count the number of completed divisions. 1234/10=123 (1) 123/10 12 (2) 12/10 = 1 (3) 1234/2= 617 (1) 617/2 = 308 (2) 308/2 = 154 (3) 154/2 = 77 (4) 77/2 = 38 (5) 38/2 = 19 (6) 19/2 = 9 (7) 9/2=4 (8) 4/2=2(9) 2/2 = 1 (10)arrow_forwardCould you please help me with this coding question using Java and non-Recursive method? I was stuck on it the whole dayarrow_forwardIt is known that a matrix can be understood (in python) by a list of lists. In this context, make a program that receives 9 numbers, organize them in a matrix 3 x 3 and print this matrix and its transpose. In Phyton3arrow_forward
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