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TEAM LinG Beginning Algorithms 01_596748 ffirs.qxd 9/23/05 2:42 PM Page i 01_596748 ffirs.qxd 9/23/05 2:42 PM Page ii Beginning Algorithms Simon Harris and James Ross 01_596748 ffirs.qxd 9/23/05 2:42 PM Page iii Beginning Algorithms Published by Wiley Publishing, Inc. 10475 Crosspoint Boulevard Indianapolis, IN 46256 www.wiley.com Published 2006 by Wiley Publishing, Inc., Indianapolis, Indiana Published simultaneously in Canada ISBN-13: 978-0-7645- 9674-2 ISBN-10: 0-7645-9674-8 Manufactured in the United States of America 10 9 8 7 6 5 4 3 2 1 1MA/RS/RQ/QV/IN Library of Congress Cataloging-in-Publication Data: Harris, Simon, 1972- Beginning algorithms / Simon Harris and James Ross. p. cm. Includes index. ISBN-13: 978-0-7645-9674-2 (paper/website) ISBN-10: 0-7645-9674-8 (paper/website) 1. Computer algorithms. I. Ross, James, 1968- II. Title. QA76.9.A43H376 2005 005.1 dc22 2005022374 No part of this publication may be reproduced, stored in a retrieval system or transmitted in any form or by any means, electronic, mechanical, photocopying, recording, scanning or otherwise, except as permitted under Sections 107 or 108 of the 1976 United States Copyright Act, without either the prior written permission of the Publisher, or authorization through payment of the appropriate per-copy fee to the Copyright Clearance Center, 222 Rosewood Drive, Danvers, MA 01923, (978) 750-8400, fax (978) 646-8600. Requests to the Publisher for permission should be addressed to the Legal Department, Wiley Publishing, Inc., 10475 Crosspoint Blvd., Indianapolis, IN 46256, (317) 572-3447, fax (317) 572-4355, or online at http://www.wiley.com/go/permissions. LIMIT OF LIABILITY/DISCLAIMER OF WARRANTY: THE PUBLISHER AND THE AUTHOR MAKE NO REP- RESENTATIONS OR WARRANTIES WITH RESPECT TO THE ACCURACY OR COMPLETENESS OF THE CON- TENTS OF THIS WORK AND SPECIFICALLY DISCLAIM ALL WARRANTIES, INCLUDING WITHOUT LIMITATION WARRANTIES OF FITNESS FOR A PARTICULAR PURPOSE. NO WARRANTY MAY BE CRE- ATED OR EXTENDED BY SALES OR PROMOTIONAL MATERIALS. THE ADVICE AND STRATEGIES CON- TAINED HEREIN MAY NOT BE SUITABLE FOR EVERY SITUATION. THIS WORK IS SOLD WITH THE UNDERSTANDING THAT THE PUBLISHER IS NOT ENGAGED IN RENDERING LEGAL, ACCOUNTING, OR OTHER PROFESSIONAL SERVICES. IF PROFESSIONAL ASSISTANCE IS REQUIRED, THE SERVICES OF A COMPETENT PROFESSIONAL PERSON SHOULD BE SOUGHT. NEITHER THE PUBLISHER NOR THE AUTHOR SHALL BE LIABLE FOR DAMAGES ARISING HEREFROM. THE FACT THAT AN ORGANIZATION OR WEBSITE IS REFERRED TO IN THIS WORK AS A CITATION AND/OR A POTENTIAL SOURCE OF FUR- THER INFORMATION DOES NOT MEAN THAT THE AUTHOR OR THE PUBLISHER ENDORSES THE INFOR- MATION THE ORGANIZATION OR WEBSITE MAY PROVIDE OR RECOMMENDATIONS IT MAY MAKE. FURTHER, READERS SHOULD BE AWARE THAT INTERNET WEBSITES LISTED IN THIS WORK MAY HAVE CHANGED OR DISAPPEARED BETWEEN WHEN THIS WORK WAS WRITTEN AND WHEN IT IS READ. For general information on our other products and services please contact our Customer Care Department within the United States at (800) 762-2974, outside the United States at (317) 572-3993 or fax (317) 572-4002. Trademarks: Wiley, the Wiley logo, Wrox, the Wrox logo, Programmer to Programmer, and related trade dress are trademarks or registered trademarks of John Wiley & Sons, Inc. and/or its affiliates, in the United States and other countries, and may not be used without written permission. All other trademarks are the property of their respec- tive owners. Wiley Publishing, Inc., is not associated with any product or vendor mentioned in this book. Wiley also publishes its books in a variety of electronic formats. Some content that appears in print may not be available in electronic books. 01_596748 ffirs.qxd 9/23/05 2:42 PM Page iv Credits Executive Editor Carol Long Consulting Editor Jon Eaves Development Editors Ami Frank Sullivan Sydney Jones Production Editor William A. Barton Copy Editor Luann Rouff Editorial Manager Mary Beth Wakefield Production Manager Tim Tate Vice President & Executive Group Publisher Richard Swadley Vice President and Executive Publisher Joseph B. Wikert Project Coordinators Erin Smith Ryan Steffen Media Development Specialists Angela Denny Kit Malone Travis Silvers Graphics and Production Specialists Jonelle Burns Lauren Goddard Denny Hager Joyce Haughey Jennifer Heleine Barbara Moore Melanee Prendergast Alicia South Quality Control Technicians John Greenough Leeann Harney Proofreading TECHBOOKS Production Services Indexing Valerie Haynes Perry 01_596748 ffirs.qxd 9/23/05 2:42 PM Page v 01_596748 ffirs.qxd 9/23/05 2:42 PM Page vi About the Authors Simon Harris started writing animated sprites on a Commodore 64 in primary school. After a break of many years, he taught himself 80x86 and IBM System/370 assembler and started working profession- ally. Since then he has moved from assembler to C, C++, and, of course, Java. He believes a fundamental understanding and appreciation of algorithms is essential to developing good software; and since start- ing his own company, RedHill Consulting, he has managed to make a living discussing and demonstrat- ing software development practices and techniques to anyone who will listen. In his more than 15 years of development experience, James Ross has ranged from building packaged products to large enterprise systems to research into compilers and languages. In recent years, he has become a code quality fanatic and agile methods specialist, particularly with test-driven development. He works as a consultant for ThoughtWorks, the world’s leading agile software development company. He is currently leading the development of a large J2EE project in the insurance industry in Melbourne, Australia. He lives with his wife and family in Melbourne. 01_596748 ffirs.qxd 9/23/05 2:42 PM Page vii 01_596748 ffirs.qxd 9/23/05 2:42 PM Page viii Acknowledgments From Simon Harris: First and foremost, a mighty big thank-you to Jon Eaves for handing us this oppor- tunity, and to James, whose skill and professionalism never cease to amaze me. I certainly couldn’t have finished this book without either of you. Many thanks also to all those who read the draft chapters and provided feedback: Andrew Harris, Andy Trigg, Peter Barry, Michael Melia, and Darrell Deboer (I’m sure I’ve missed some). I hope you find the final product does justice to your efforts. I also want to acknowledge my brother Tim for listening to my ranting at all hours of the night and day, and Kerri Rusnak and her family for feeding me waffles and cups of tea, not to mention my Aikido stu- dents for continuing to turn up and practice during my various absences. Finally, I’d like to extend my sincerest gratitude to everyone at Wiley who persisted with the book and to all of my other friends and family who continued to prod and encourage me, especially when I thought the sky was falling. It’s certainly been a learning experience. From James Ross: First of all, I’d like to thank Simon for letting me come along for the ride on his first book. It was a great opportunity to write seriously for the first time and it’s always a pleasure and an education to work with Simon. We heard a lot of stories about author teams who destroy their relation- ship while collaborating on a book, but I’m glad to say we avoided that trap. I’d also like to thank all the folks at Wiley who were extremely understanding with two newbie authors and guided us unerringly towards the goal—especially Ami Sullivan and Carol Long. It is much appreciated. To all the supergeeks at ThoughtWorks who have made my professional life such a pleasure over the past few years, especially Andy Trigg, who’s been my programming pal since we wrote our first unit tests together, and who reviewed all the chapters I wrote with incredible attention to detail and insight, and Jon Eaves, the technical editor on this book, who never fails to make me laugh and teach me some- thing. Simon Stewart also helped with great feedback on early drafts, and Gregor Hohpe and Martin Fowler provided the encouragement and inspiration to actually keep typing all those long nights. Speaking of the long nights, I can honestly say that this book would not have been possible (at least my chapters!) without the love and understanding of the ladies in my life—Catherine, who is the sun in our little solar system; Jessica; Ruby; and little Ella, who was six months old when I signed on for this project and who slept at least 12 hours every single night while it was being written. You may never read it, baby, but I’ll always think of you when I pick it up! 01_596748 ffirs.qxd 9/23/05 2:42 PM Page ix [...]... 471 475 477 479 480 487 Appendix A: Further Reading 489 Appendix B: Resources 491 xvi Contents Appendix C: Bibliography 493 Appendix D: Answers to Exercises 495 Index 541 xvii Introduction Welcome to Beginning Algorithms, a step-by-step introduction to computing algorithms for the real world Developers use algorithms and data structures every day of their working lives Having a good understanding of... is hoped that by exposing you directly to unit test code, you will gain an understanding of basic unit testing techniques How to Use This Book For the most part, this book is intended to be read from beginning to end It guides the reader through the basics of algorithms, data structures, and performance characteristics through to specific algorithms for sorting, searching, and so on To this end, the . TEAM LinG Beginning Algorithms 01_596748 ffirs.qxd 9/23/05 2:42 PM Page i 01_596748 ffirs.qxd 9/23/05 2:42 PM Page ii Beginning Algorithms Simon Harris and James. ffirs.qxd 9/23/05 2:42 PM Page iii Beginning Algorithms Published by Wiley Publishing, Inc. 10475 Crosspoint Boulevard Indianapolis, IN 46256 www.wiley.com Published 2006 by Wiley Publishing, Inc.,. 3 2 1 1MA/RS/RQ/QV/IN Library of Congress Cataloging-in-Publication Data: Harris, Simon, 1972- Beginning algorithms / Simon Harris and James Ross. p. cm. Includes index. ISBN-13: 978-0-7645-9674-2

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