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Java Challenges 100+ Proven Tasks that Will Prepare You for Anything — Michael Inden Java Challenges 100+ Proven Tasks that Will Prepare You for Anything Michael Inden
Java Challenges: 100+ Proven Tasks that Will Prepare You for Anything Michael Inden Zurich, Switzerland ISBN-13 (pbk): 978-1-4842-7394-4
ISBN-13 (electronic): 978-1-4842-7395-1 https://doi.org/10.1007/978-1-4842-7395-1 Copyright © 2022 by Michael Inden This work is subject to copyright. All rights are reserved by the Publisher, whether the whole or part of the material is concerned, specifically the rights of translation, reprinting, reuse of illustrations, recitation, broadcasting, reproduction on microfilms or in any other physical way, and transmission or information storage and retrieval, electronic adaptation, computer software, or by similar or dissimilar methodology now known or hereafter developed. Trademarked names, logos, and images may appear in this book. Rather than use a trademark symbol with every occurrence of a trademarked name, logo, or image we use the names, logos, and images only in an editorial fashion and to the benefit of the trademark owner, with no intention of infringement of the trademark. The use in this publication of trade names, trademarks, service marks, and similar terms, even if they are not identified as such, is not to be taken as an expression of opinion as to whether or not they are subject to proprietary rights. While the advice and information in this book are believed to be true and accurate at the date of publication, neither the authors nor the editors nor the publisher can accept any legal responsibility for any errors or omissions that may be made. The publisher makes no warranty, express or implied, with respect to the material contained herein. Managing Director, Apress Media LLC: Welmoed Spahr Acquisitions Editor: Steve Anglin
Development Editor: Matthew Moodie Coordinating Editor: Mark Powers Copyeditor: Mary Behr Cover designed by eStudioCalamar Cover image by Michael Inden Distributed to the book trade worldwide by Apress Media, LLC, 1 New York Plaza, New York, NY 10004, U.S.A. Phone 1-800SPRINGER, fax (201) 348-4505, e-mail orders-ny@springersbm.com, or visit www. springeronline.com. Apress Media, LLC is a California LLC and the sole member (owner) is Springer Science + Business Media Finance Inc (SSBM Finance Inc). SSBM Finance Inc is a Delaware corporation. For information on translations, please e-mail booktranslations@springernature.com; for reprint, paperback, or audio rights, please e-mail bookpermissions@springernature.com. Apress titles may be purchased in bulk for academic, corporate, or promotional use. eBook versions and licenses are also available for most titles. For more information, reference our Print and eBook Bulk Sales web page at www.apress.com/bulk-sales. Any source code or other supplementary material referenced by the author in this book is available to readers on GitHub via the book’s product page, located at www.apress.com/9781484273944. For more detailed information, please visit www.apress.com/sourcecode. Printed on acid-free paper
Table of Contents About the Author xvii About the Technical Reviewer xix Preface xxi Chapter 1: Introduction 1 1.1 Structure of the Chapters .................................................................................................... .... 1 1.1.1 Introduction .................................................................................................... ................ 1 1.1.2 Exercises .................................................................................................... .................... 1 1.1.3 Solutions .................................................................................................... ..................... 2 1.2 Basic Structure of the Eclipse Project ..................................................................................... 3 1.3 Basic Framework for Unit Tests .............................................................................................. 5 1.4 Note on Programming Style .................................................................................................... 6 1.4.1 Thoughts on Source Code Compactness ........................................................................ 6
1.4.2 Example 1 .................................................................................................... ................... 7 1.4.3 Example 2 .................................................................................................... ................... 8 1.4.4 Thoughts on final and var .......................................................................................... 9 1.4.5 Notes on Method Visibility ............................................................................................ 10 1.4.6 Block Comments in Listings ......................................................................................... 11 1.4.7 Thoughts on Formatting ............................................................................................... 11 1.5 Trying Out the Examples and Solutions ................................................................................. 11 1.6 Let’s Go: Discovering Java Challenge ................................................................................... 12 iii Table of ConTenTs Part I: Fundamentals 13 Chapter 2: Mathematical Problems 15 2.1 Introduction .................................................................................................... ....................... 15
2.1.1 Short Introduction to Division and Modulo ................................................................... 15 2.1.2 Short Introduction to Divider ........................................................................................ 17 2.1.3 Short Introduction to Prime Numbers ........................................................................... 17 2.1.4 Roman Numbers .................................................................................................... ....... 20 2.1.5 Rules .................................................................................................... ......................... 20 2.1.6 Examples .................................................................................................... .................. 21 2.1.7 Noteworthy .................................................................................................... ............... 21 2.1.8 Number Games .................................................................................................... ......... 22 2.1.9 Perfect Numbers....................................................................................... .................... 22 2.1.10 Armstrong Numbers ................................................................................................... 22
2.1.11 Algorithm for a Simple Checksum .............................................................................. 23 2.2 Exercises .................................................................................................... ........................... 24 2.2.1 Exercise 1: Basic Arithmetic (★✩✩✩✩) ..................................................................... 24 2.2.2 Exercise 2: Number as Text (★★✩✩✩) ...................................................................... 25 2.2.3 Exercise 3: Perfect Numbers (★★✩✩✩).................................................................... 26 2.2.4 Exercise 4: Prime Numbers (★★✩✩✩) ...................................................................... 27 2.2.5 Exercise 5: Prime Number Pairs (★★✩✩✩) .............................................................. 27 2.2.6 Exercise 6: Checksum (★★✩✩✩) .............................................................................. 28 2.2.7 Exercise 7: Roman Numbers (★★★★✩) ................................................................... 28 2.2.8 Exercise 8: Combinatorics (★★✩✩✩) ....................................................................... 29 2.2.9 Exercise 9: Armstrong Numbers (★★✩✩✩) .............................................................. 29 2.2.10 Exercise 10: Max Change Calculator (★★★★✩) ..................................................... 30
2.2.11 Exercise 11: Related Numbers (★★✩✩✩) ............................................................... 31 2.2.12 Exercise 12: Prime Factorization (★★★✩✩) ........................................................... 31 2.3 Solutions .................................................................................................... ........................... 32 2.3.1 Solution 1: Basic Arithmetic (★✩✩✩✩) ..................................................................... 32 2.3.2 Solution 2: Number as Text (★★✩✩✩) ...................................................................... 36 iv Table of ConTenTs 2.3.3 Solution 3: Perfect Numbers (★★✩✩✩) .................................................................... 38 2.3.4 Solution 4: Prime Numbers (★★✩✩✩) ...................................................................... 41 2.3.5 Solution 5: Prime Number Pairs (★★✩✩✩) ............................................................... 44 2.3.6 Solution 6: Checksum (★★✩✩✩) .............................................................................. 50 2.3.7 Solution 7: Roman Numbers (★★★★✩) .................................................................... 51
2.3.8 Solution 8: Combinatorics (★★✩✩✩) ........................................................................ 57 2.3.9 Solution 9: Armstrong Numbers (★★✩✩✩) ............................................................... 62 2.3.10 Solution 10: Max Change Calculator (★★★★✩) ...................................................... 66 2.3.11 Solution 11: Related Numbers (★★✩✩✩) ............................................................... 68 2.3.12 Solution 12: Prime Factorization (★★★✩✩) ............................................................ 70 Chapter 3: Recursion 75 3.1 Introduction .................................................................................................... ....................... 75 3.1.1 Mathematical Examples ............................................................................................... 75 3.1.2 Algorithmic Examples ................................................................................................... 79 3.1.3 Steps When Multiplying the Digits of a Number ........................................................... 85 3.1.4 Typical Problems....................................................................................... .................... 86 3.2 Exercises ....................................................................................................
........................... 90 3.2.1 Exercise 1: Fibonacci (★★✩✩✩) ............................................................................... 90 3.2.2 Exercise 2: Process Digits (★★✩✩✩) ........................................................................ 91 3.2.3 Exercise 3: GCD (★★✩✩✩) ........................................................................................ 91 3.2.4 Exercise 4: Reverse String (★★✩✩✩) ....................................................................... 92 3.2.5 Exercise 5: Array Sum (★★✩✩✩) .............................................................................. 93 3.2.6 Exercise 6: Array Min (★★✩✩✩) ............................................................................... 93 3.2.7 Exercise 7: Conversions (★★✩✩✩) ........................................................................... 94 3.2.8 Exercise 8: Exponential Function (★★✩✩✩) ............................................................. 95 3.2.9 Exercise 9: Pascal’s Triangle (★★✩✩✩) .................................................................... 96 3.2.10 Exercise 10: Number Palindromes (★★★★✩) ........................................................ 96 3.2.11 Exercise 11: Permutations (★★★✩✩) ..................................................................... 97
3.2.12 Exercise 12: Count Substrings (★★✩✩✩) ............................................................... 97 3.2.13 Exercise 13: Ruler (★★✩✩✩) .................................................................................. 98 v Table of ConTenTs 3.3 Solutions .................................................................................................... ........................... 99 3.3.1 Solution 1: Fibonacci (★★✩✩✩)................................................................................ 99 3.3.2 Solution 2: Process Digits (★★✩✩✩) ...................................................................... 101 3.3.3 Solution 3: GCD (★★✩✩✩) ...................................................................................... 103 3.3.4 Solution 4: Reverse String (★★✩✩✩) ..................................................................... 106 3.3.5 Solution 5: Array Sum (★★✩✩✩) ............................................................................ 108 3.3.6 Solution 6: Array Min (★★✩✩✩) .............................................................................. 110 3.3.7 Solution 7: Conversions (★★✩✩✩) ......................................................................... 112
3.3.8 Solution 8: Exponential Function (★★✩✩✩) ........................................................... 116 3.3.9 Solution 9: Pascal’s Triangle (★★✩✩✩) .................................................................. 120 3.3.10 Solution 10: Number Palindromes (★★★★✩) ....................................................... 124 3.3.11 Solution 11: Permutations (★★★✩✩) ................................................................... 129 3.3.12 Solution 12: Count Substrings (★★✩✩✩) ............................................................. 133 3.3.13 Solution 13: Ruler (★★✩✩✩) ................................................................................ 138 Chapter 4: Strings 141 4.1 Introduction .................................................................................................... ..................... 141 4.1.1 The Interface CharSequence ...................................................................................... 141 4.1.2 The Class String .................................................................................................... ...... 142 4.1.3 The Classes StringBuffer and StringBuilder ............................................................... 143 4.1.4 The Class Character .................................................................................................... 145
4.1.5 Examples Related to Character and String ................................................................. 146 4.2 Exercises .................................................................................................... ......................... 150 4.2.1 Exercise 1: Number Conversions (★★✩✩✩) ........................................................... 150 4.2.2 Exercise 2: Joiner (★✩✩✩✩) ................................................................................... 151 4.2.3 Exercise 3: Reverse String (★★✩✩✩) ..................................................................... 151 4.2.4 Exercise 4: Palindrome (★★★✩✩) .......................................................................... 152 4.2.5 Exercise 5: No Duplicate Chars (★★★✩✩) .............................................................. 153 4.2.6 Exercise 6: Remove Duplicate Letters (★★★✩✩) ................................................... 153 4.2.7 Exercise 7: Capitalize (★★✩✩✩) ............................................................................. 153 4.2.8 Exercise 8: Rotation (★★✩✩✩) ............................................................................... 154 vi Table of ConTenTs
4.2.9 Exercise 9: Well-Formed Braces (★★✩✩✩) ............................................................ 155 4.2.10 Exercise 10: Anagram (★★✩✩✩) .......................................................................... 155 4.2.11 Exercise 11: Morse Code (★★✩✩✩) ..................................................................... 156 4.2.12 Exercise 12: Pattern Checker (★★★✩✩) ............................................................... 157 4.2.13 Exercise 13: Tennis Score (★★★✩✩) .................................................................... 157 4.2.14 Exercise 14: Version Numbers (★★✩✩✩) ............................................................. 158 4.2.15 Exercise 15: Conversion strToLong (★★✩✩✩) ...................................................... 159 4.2.16 Exercise 16: Print Tower (★★★✩✩) ...................................................................... 159 4.3 Solutions .................................................................................................... ......................... 160 4.3.1 Solution 1: Number Conversions (★★✩✩✩) ............................................................ 160 4.3.2 Solution 2: Joiner (★✩✩✩✩) ................................................................................... 164 4.3.3 Solution 3: Reverse String (★★✩✩✩) ..................................................................... 166
4.3.4 Solution 4: Palindrome (★★★✩✩) ........................................................................... 169 4.3.5 Solution 5: No Duplicate Chars (★★★✩✩) .............................................................. 173 4.3.6 Solution 6: Remove Duplicate Letters (★★★✩✩) .................................................... 175 4.3.7 Solution 7: Capitalize (★★✩✩✩) ............................................................................. 177 4.3.8 Solution 8: Rotation (★★✩✩✩) ................................................................................ 182 4.3.9 Solution 9: Well-Formed Braces (★★✩✩✩)............................................................. 184 4.3.10 Solution 10: Anagram (★★✩✩✩) ........................................................................... 186 4.3.11 Solution 11: Morse Code (★★✩✩✩) ...................................................................... 187 4.3.12 Solution 12: Pattern Checker (★★★✩✩) ............................................................... 191 4.3.13 Solution 13: Tennis Score (★★★✩✩) .................................................................... 193 4.3.14 Solution 14: Version Numbers (★★✩✩✩) .............................................................. 198 4.3.15 Solution 15: Conversion strToLong (★★✩✩✩)....................................................... 201
4.3.16 Solution 16: Print Tower (★★★✩✩) ....................................................................... 206 Chapter 5: Arrays 211 5.1 Introduction .................................................................................................... ..................... 211 5.1.1 One-Dimensional Arrays ............................................................................................. 212 5.1.2 Multidimensional Arrays ............................................................................................. 225 5.1.3 Typical Errors .................................................................................................... .......... 234 vii Table of ConTenTs 5.2 Exercises .................................................................................................... ......................... 236 5.2.1 Exercise 1: Even Before Odd Numbers (★★✩✩✩) .................................................. 236 5.2.2 Exercise 2: Flip (★★✩✩✩) ....................................................................................... 236 5.2.3 Exercise 3: Palindrome (★★✩✩✩) .......................................................................... 237
5.2.4 Exercise 4: Inplace Rotate (★★★✩✩) ..................................................................... 237 5.2.5 Exercise 5: Jewels Board Init (★★★✩✩) ................................................................. 238 5.2.6 Exercise 6: Jewels Board Erase Diamonds (★★★★✩) ........................................... 239 5.2.7 Exercise 7: Spiral Traversal (★★★★✩) ................................................................... 241 5.2.8 Exercise 8: Add One to Array as Number (★★✩✩✩) ............................................... 242 5.2.9 Exercise 9: Sudoku Checker (★★★✩✩) .................................................................. 242 5.2.10 Exercise 10: Flood Fill (★★✩✩✩) .......................................................................... 244 5.2.11 Exercise 11: Array Merge (★★✩✩✩) ..................................................................... 245 5.2.12 Exercise 12: Array Min and Max (★★✩✩✩)........................................................... 245 5.2.13 Exercise 13: Array Split (★★★✩✩) ........................................................................ 246 5.2.14 Exercise 14: Minesweeper Board (★★★✩✩) ........................................................ 248 5.3 Solutions .................................................................................................... ......................... 250
5.3.1 Solution 1: Even Before Odd Numbers (★★✩✩✩) ................................................... 250 5.3.2 Solution 2: Flip (★★✩✩✩) ....................................................................................... 255 5.3.3 Solution 3: Palindrome (★★✩✩✩) ........................................................................... 260 5.3.4 Solution 4: Inplace Rotate (★★★✩✩) ...................................................................... 263 5.3.5 Solution 5: Jewels Board Init (★★★✩✩) ................................................................. 269 5.3.6 Solution 6: Jewels Board Erase Diamonds (★★★★✩) ............................................ 279 5.3.7 Solution 7: Spiral Traversal (★★★★✩) .................................................................... 292 5.3.8 Solution 8: Add One to Array as Number (★★✩✩✩) ................................................ 299 5.3.9 Solution 9: Sudoku Checker (★★★✩✩) ................................................................... 302 5.3.10 Solution 10: Flood Fill (★★✩✩✩) .......................................................................... 310 5.3.11 Solution 11: Array Merge (★★✩✩✩) ..................................................................... 316 5.3.12 Solution 12: Array Min and Max (★★✩✩✩) ........................................................... 321
5.3.13 Solution 13: Array Split (★★★✩✩) ........................................................................ 325 5.3.14 Solution 14: Minesweeper Board (★★★✩✩) ......................................................... 332 viii Table of ConTenTs Chapter 6: Date Processing 341 6.1 Introduction .................................................................................................... ..................... 341 6.1.1 The Enumerations DayOfWeek and Month ................................................................. 341 6.1.2 The Classes LocalDate, LocalTime, and LocalDateTime ............................................. 342 6.1.3 The Class ZonedDateTime .......................................................................................... 345 6.1.4 The class ZoneId .................................................................................................... ..... 346 6.1.5 The Class Duration .................................................................................................... .. 347 6.1.6 The Class Period .................................................................................................... ..... 349
6.1.7 Date Arithmetic .................................................................................................... ....... 350 6.1.8 Formatting and Parsing .............................................................................................. 354 6.2 Exercises .................................................................................................... ......................... 356 6.2.1 Exercise 1: Leap Years (★✩✩✩✩) ........................................................................... 356 6.2.2 Exercise 2: Basic Knowledge Date-API (★★✩✩✩) .................................................. 356 6.2.3 Exercise 3: Length of Month (★★✩✩✩) .................................................................. 357 6.2.4 Exercise 4: Time Zones (★★✩✩✩) .......................................................................... 357 6.2.5 Exercise 5: Time Zone Calculation (★★✩✩✩) ......................................................... 357 6.2.6 Exercise 6: Calculations with LocalDate ..................................................................... 358 6.2.7 Exercise 7: Calendar Output (★★★✩✩) .................................................................. 359 6.2.8 Exercise 8: Weekdays (★✩✩✩✩) ............................................................................ 359
6.2.9 Exercise 9: Sundays and Leap Years (★★✩✩✩) ...................................................... 361 6.2.10 Exercise 10: TemporalAdjuster (★★★✩✩) ............................................................ 361 6.2.11 Exercise 11: NthWeekdayAdjuster (★★★✩✩) ....................................................... 362 6.2.12 Exercise 12: Payday TemporalAdjuster (★★★✩✩) ................................................ 362 6.2.13 Exercise 13: Formatting and Parsing (★★✩✩✩) ................................................... 363 6.2.14 Exercise 14: Fault-Tolerant Parsing (★★✩✩✩) ..................................................... 364 6.3 Solutions .................................................................................................... ......................... 364 6.3.1 Solution 1: Leap Years (★✩✩✩✩) ............................................................................ 364 6.3.2 Solution 2: Basic Knowledge Date-API (★★✩✩✩) .................................................. 366 6.3.3 Solution 3: Length of Month (★★✩✩✩) ................................................................... 367 6.3.4 Solution 4: Time Zones (★★✩✩✩) ........................................................................... 368 ix
Table of ConTenTs 6.3.5 Solution 5: Time Zone Calculation (★★✩✩✩) .......................................................... 369 6.3.6 Solution 6: Calculations With LocalDate ..................................................................... 371 6.3.7 Solution 7: Calendar Output (★★★✩✩) ................................................................... 374 6.3.8 Solution 8: Weekdays (★✩✩✩✩) ............................................................................. 378 6.3.9 Solution 9: Sundays and Leap Years (★★✩✩✩) ...................................................... 381 6.3.10 Solution 10: TemporalAdjuster (★★★✩✩) ............................................................. 384 6.3.11 Solution 11: NthWeekdayAdjuster (★★★✩✩) ....................................................... 386 6.3.12 Solution 12: Payday TemporalAdjuster (★★★✩✩) ................................................ 388 6.3.13 Solution 13: Formatting and Parsing (★★✩✩✩) ................................................... 393 6.3.14 Solution 14: Fault-Tolerant Parsing (★★✩✩✩) ...................................................... 396 Chapter 7: Basic Data Structures: Lists, Sets, and Maps 399 7.1 Introduction ....................................................................................................
..................... 399 7.1.1 The Interface Collection .............................................................................................. 399 7.1.2 Lists and the Interface List<E> .................................................................................. 400 7.1.3 Sets and the Interface Set .......................................................................................... 401 7.1.4 Key-Value Mappings and the Interface Map ............................................................... 401 7.1.5 The Stack as a LIFO Data Structure ............................................................................ 403 7.1.6 The Queue as a FIFO Data Structure ........................................................................... 404 7.2 Exercises .................................................................................................... ......................... 406 7.2.1 Exercise 1: Set Operations (★★✩✩✩) ..................................................................... 406 7.2.2 Exercise 2: List Reverse (★★✩✩✩) ......................................................................... 407 7.2.3 Exercise 3: Remove Duplicates (★★✩✩✩) .............................................................. 407 7.2.4 Exercise 4: Maximum Profit (★★★✩✩) ................................................................... 408
7.2.5 Exercise 5: Longest Sequence (★★★✩✩) ............................................................... 408 7.2.6 Exercise 6: Own Stack (★★✩✩✩) ........................................................................... 409 7.2.7 Exercise 7: Well-Formed Braces (★★✩✩✩) ............................................................ 409 7.2.8 Exercise 8: Check a Magic Triangle (★★★✩✩) ....................................................... 410 7.2.9 Exercise 9: Pascal’s Triangle (★★★✩✩) .................................................................. 411 7.2.10 Exercise 10: Most Frequent Elements (★★✩✩✩).................................................. 411 7.2.11 Exercise 11: Addition of Digits (★★★✩✩) ............................................................. 411 x Table of ConTenTs 7.2.12 Exercise 12: Compound Key (★★✩✩✩) ................................................................ 412 7.2.13 Exercise 13: List Merge (★★✩✩✩) ........................................................................ 413 7.2.14 Exercise 14: Excel Magic Select (★★✩✩✩) .......................................................... 413 7.3 Solutions ....................................................................................................
......................... 414 7.3.1 Solution 1: Set Operations (★★✩✩✩) ..................................................................... 414 7.3.2 Solution 2: List Reverse (★★✩✩✩) ......................................................................... 421 7.3.3 Solution 3: Remove Duplicates (★★✩✩✩) .............................................................. 425 7.3.4 Solution 4: Maximum Profit (★★★✩✩) ................................................................... 427 7.3.5 Solution 5: Longest Sequence (★★★✩✩) ............................................................... 431 7.3.6 Solution 6: Own Stack (★★✩✩✩) ............................................................................ 436 7.3.7 Solution 7: Well-Formed Braces (★★✩✩✩)............................................................. 438 7.3.8 Solution 8: Check a Magic Triangle (★★★✩✩) ........................................................ 444 7.3.9 Solution 9: Pascal’s Triangle (★★★✩✩) .................................................................. 450 7.3.10 Solution 10: Most Frequent Elements (★★✩✩✩) .................................................. 452 7.3.11 Solution 11: Addition of Digits (★★★✩✩).............................................................. 455
7.3.12 Solution 12: Compound Key (★★✩✩✩) ................................................................. 460 7.3.13 Solution 13: List Merge (★★✩✩✩) ........................................................................ 464 7.3.14 Solution 14: Excel Magic Select (★★✩✩✩) ........................................................... 467 Part II: More Advanced and Tricky Topics 475 Chapter 8: Recursion Advanced 477 8.1 Memoization .................................................................................................... ................... 477 8.1.1 Memoization for Fibonacci Numbers .......................................................................... 477 8.1.2 Memoization for Pascal’s Triangle .............................................................................. 480 8.2 Backtracking .................................................................................................... ................... 482 8.2.1 n-Queens Problem .................................................................................................... .. 483 8.3 Exercises .................................................................................................... ......................... 488 8.3.1 Exercise 1: Towers of Hanoi (★★★✩✩) ................................................................... 488
8.3.2 Exercise 2: Edit Distance (★★★★✩) ....................................................................... 490 8.3.3 Exercise 3: Longest Common Subsequence (★★★✩✩) .......................................... 490 xi Table of ConTenTs 8.3.4 Exercise 4: Way Out of a Labyrinth (★★★✩✩) ........................................................ 491 8.3.5 Exercise 5: Sudoku Solver (★★★★✩) ..................................................................... 492 8.3.6 Exercise 6: Math Operator Checker (★★★★✩) ....................................................... 493 8.3.7 Exercise 7: Water Jug Problem (★★★✩✩) .............................................................. 495 8.3.8 Exercise 8: All Palindrome Substrings (★★★★✩) ................................................... 496 8.3.9 Exercise 9: n-Queens Problem (★★★✩✩)............................................................... 496 8.4 Solutions .................................................................................................... ......................... 497 8.4.1 Solution 1: Towers of Hanoi (★★★✩✩) ................................................................... 497
8.4.2 Solution 2: Edit Distance (★★★★✩) ....................................................................... 506 8.4.3 Solution 3: Longest Common Subsequence (★★★✩✩) .......................................... 515 8.4.4 Solution 4: Way Out of a Labyrinth (★★★✩✩) ......................................................... 519 8.4.5 Solution 5: Sudoku Solver (★★★★✩) ..................................................................... 523 8.4.6 Solution 6: Math Operator Checker (★★★★✩) ....................................................... 535 8.4.7 Solution 7: Water Jug Problem (★★★✩✩) .............................................................. 542 8.4.8 Solution 8: All Palindrome Substrings (★★★★✩) ................................................... 546 8.4.9 Solution 9: n-Queens Problem (★★★✩✩) ............................................................... 552 Chapter 9: Binary Trees 565 9.1 Introduction .................................................................................................... ..................... 565 9.1.1 Structure, Terminology, and Examples of Use ............................................................. 566 9.1.2 Binary Trees .................................................................................................... ............ 566
9.1.3 Binary Trees with Order: Binary Search Trees ............................................................ 567 9.1.4 Traversals .................................................................................................... ............... 570 9.1.5 Balanced Trees and Other Properties ......................................................................... 574 9.1.6 Trees for the Examples and Exercises ........................................................................ 576 9.2 Exercises .................................................................................................... ......................... 579 9.2.1 Exercise 1: Tree Traversal (★★✩✩✩)....................................................................... 579 9.2.2 Exercise 2: Preorder, Inorder, and Postorder Iteratives (★★★★✩) .......................... 579 9.2.3 Exercise 3: Tree Height (★★✩✩✩) .......................................................................... 580 9.2.4 Exercise 4: Lowest Common Ancestor (★★★✩✩) ................................................... 580 9.2.5 Exercise 5: Breadth-First (★★★✩✩) ....................................................................... 581 xii Table of ConTenTs
9.2.6 Exercise 6: Level Sum (★★★★✩) ........................................................................... 581 9.2.7 Exercise 7: Tree Rotate (★★★✩✩) .......................................................................... 582 9.2.8 Exercise 8: Reconstruction (★★★✩✩) .................................................................... 583 9.2.9 Exercise 9: Math Evaluation (★★✩✩✩) ................................................................... 584 9.2.10 Exercise 10: Symmetry (★★✩✩✩) ........................................................................ 584 9.2.11 Exercise 11: Check Binary Search Tree (★★✩✩✩) ................................................ 586 9.2.12 Exercise 12: Completeness (★★★★★) ................................................................. 586 9.2.13 Exercise 13: Tree Printer (★★★★★)...................................................................... 588 9.3 Solutions .................................................................................................... ......................... 593 9.3.1 Solution 1: Tree Traversal (★★✩✩✩) ....................................................................... 593 9.3.2 Solution 2: Preorder, Inorder, and Postorder Iteratives (★★★★✩) .......................... 596 9.3.3 Solution 3: Tree Height (★★✩✩✩) ........................................................................... 607
9.3.4 Solution 4: Lowest Common Ancestor (★★★✩✩) ................................................... 609 9.3.5 Solution 5: Breadth-First (★★★✩✩) ........................................................................ 613 9.3.6 Solution 6: Level Sum (★★★★✩) ............................................................................ 617 9.3.7 Solution 7: Tree Rotate (★★★✩✩) ........................................................................... 621 9.3.8 Solution 8: Reconstruction (★★★✩✩) ..................................................................... 626 9.3.9 Solution 9: Math Evaluation (★★✩✩✩) ................................................................... 634 9.3.10 Solution 10: Symmetry (★★✩✩✩)......................................................................... 636 9.3.11 Solution 11: Check Binary Search Tree (★★✩✩✩) ................................................ 642 9.3.12 Solution 12: Completeness (★★★★★) .................................................................. 644 9.3.13 Solution 13: Tree Printer (★★★★★) ...................................................................... 657 Chapter 10: Searching and Sorting 673 10.1 Introduction Search .................................................................................................... ....... 673
10.1.1 Searching in Collections and Arrays ......................................................................... 673 10.1.2 Binary Search with binarySearch() ........................................................................... 675 10.2 Introduction Sort .................................................................................................... ........... 676 10.2.1 Insertion Sort .................................................................................................... ........ 676 10.2.2 Selection Sort .................................................................................................... ....... 679 10.2.3 Merge Sort .................................................................................................... ............ 682 xiii Table of ConTenTs 10.2.4 Quick Sort .................................................................................................... ............. 684 10.2.5 Bucket Sort .................................................................................................... ........... 687 10.2.6 Final Thoughts .................................................................................................... ...... 688
10.3 Exercises .................................................................................................... ....................... 689 10.3.1 Exercise 1: Contains All (★★✩✩✩) ........................................................................ 689 10.3.2 Exercise 2: Partitioning (★★★★✩) ........................................................................ 689 10.3.3 Exercise 3: Binary Search (★★✩✩✩) .................................................................... 690 10.3.4 Exercise 4: Insertion Sort (★★✩✩✩) ..................................................................... 691 10.3.5 Exercise 5: Selection Sort (★★✩✩✩) .................................................................... 691 10.3.6 Exercise 6: Quick Sort (★★★✩✩) .......................................................................... 692 10.3.7 Exercise 7: Bucket Sort (★★✩✩✩) ........................................................................ 693 10.3.8 Exercise 8: Search in Rotated Data (★★★★✩) ..................................................... 693 10.4 Solutions .................................................................................................... ....................... 694 10.4.1 Solution 1: Contains All (★★✩✩✩) ........................................................................ 694
10.4.2 Solution 2: Partitioning (★★★✩✩) ........................................................................ 696 10.4.3 Solution 3: Binary Search (★★✩✩✩) .................................................................... 699 10.4.4 Solution 4: Insertion Sort (★★✩✩✩) ..................................................................... 704 10.4.5 Solution 5: Selection Sort (★★✩✩✩) .................................................................... 705 10.4.6 Solution 6: Quick Sort (★★★✩✩) .......................................................................... 707 10.4.7 Solution 7: Bucket Sort (★★✩✩✩) ........................................................................ 710 10.4.8 Solution 8: Search in Rotated Data (★★★★✩) ...................................................... 712 Chapter 11: Conclusion and Supplementary Literature 721 11.1 Conclusion .................................................................................................... .................... 721 11.1.1 Lessons Learned per Chapter ................................................................................... 721 11.1.2 Noteworthy .................................................................................................... ........... 723 11.2 Puzzles ....................................................................................................