Introduction To Algorithms, Third Edition (international Edition)
Introduction To Algorithms, Third Edition (international Edition)
3rd Edition
ISBN: 9780262533058
Author: Thomas H. Cormen, Charles E. Leiserson, Ronald L. Rivest, Clifford Stein
Publisher: TRILITERAL
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Chapter 21.4, Problem 4E
Program Plan Intro

To provide simple proof on a disjoint set forest with union by rank but without path compression run in O(mlgn) time.

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Question 1 (15 Points) Inheritance: In this question, we are going to create a new subclass of the SimpleGeometricObject class, named Triangle. Create a SimpleGeometricObject.java and Copy the source code of the SimpleGeometricObject class from the following link: https://liveexample.pearsoncmg.com/html/SimpleGeometricObject.html TASK 1: Create a Triangle class that extends the SimpleGeometricObject class in Eclipse, following the below UML diagram. + base:double = 5 + height:double = 10 Triangle + Triangle() + Triangle(newBase: double, newHeight: double) + getArea(): double + setBase(): void + setHeight(): void + getBase(): double + getHeight(): double
Question 2 (10 Points): String vs. StringBuilder Create a Question2.java file and finish the following tasks: Task 1. a) Create a 1D array of integers to store 50 integers. b) Store values from 0 to 49 in the array you just created. c) Create a new String Object using no-arg constructor. d) Using for loop to add the array elements one by one to the String (one per loop iteration) Hint: to append an element to a String, use the + operator. e) Output the String on the console. Record and display a run-time it took to append all integers to the String (record run-time of 1.d.)). Please submit a screenshot. The screenshot should match the following example: 012345678910111213141516171819202122232425262728293031323334353637383940414243444546474849 it took 196708 nanoseconds to append 50 integers to the String.| Hint: You can use the following statements to record run-time. long begin, end, time; // we will measure time it took begin = System.nanoTime(); //we measure in nanoseconds. // put…
Answer this Java OOP question below: Discuss the challenges and benefits of using multiple levels of inheritance in a class hierarchy. How can deep inheritance structures impact the maintainability and readability of code?
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