Book Image

Java Coding Problems - Second Edition

By : Anghel Leonard
Book Image

Java Coding Problems - Second Edition

By: Anghel Leonard

Overview of this book

The super-fast evolution of the JDK between versions 12 and 21 has made the learning curve of modern Java steeper, and increased the time needed to learn it. This book will make your learning journey quicker and increase your willingness to try Java’s new features by explaining the correct practices and decisions related to complexity, performance, readability, and more. Java Coding Problems takes you through Java’s latest features but doesn’t always advocate the use of new solutions — instead, it focuses on revealing the trade-offs involved in deciding what the best solution is for a certain problem. There are more than two hundred brand new and carefully selected problems in this second edition, chosen to highlight and cover the core everyday challenges of a Java programmer. Apart from providing a comprehensive compendium of problem solutions based on real-world examples, this book will also give you the confidence to answer questions relating to matching particular streams and methods to various problems. By the end of this book you will have gained a strong understanding of Java’s new features and have the confidence to develop and choose the right solutions to your problems.
Table of Contents (16 chapters)
1
Text Blocks, Locales, Numbers, and Math
Free Chapter
2
Objects, Immutability, Switch Expressions, and Pattern Matching
14
Other Books You May Enjoy
15
Index

123. Introducing the Binomial Heap data structure

A Binomial Heap data structure is a set composed of Binomial Trees. Each Binomial Tree is a Min Heap, which means that it follows the min-heap property. In a nutshell, a heap is a Min Heap if its items are in descending order, meaning that the minimum item is the root (more details are available in The Complete Coding Interview Guide in Java book).

In a nutshell, a Binomial Tree is ordered and typically defined in a recursive fashion. It is denoted as Bk, where k implies the following properties:

  • A Binomial Tree has 2k nodes.
  • The height of a Binomial Tree is equal to k.
  • The root of a Binomial Tree has the degree k, which is the greatest degree.

A B0 Binomial Tree has a single node. A B1 Binomial Tree has two B0 Trees, and one of them is a left subtree of the other one. A B2 Tree has two B1, one of which is the left subtree of the other. In general, a Bk Binomial Tree contains two Bk-1 Binomial Trees...