Introduction.to.Algorithms.3rd.pdf

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1、THOMASH.CORMENCHARLESE.LEISERSONRONALDL.RIVESTCLIFFORDSTEININTRODUCTIONTOALGORITHMSTHIRDEDITIONIntroductiontoAlgorithmsThirdEditionThomasH.CormenCharlesE.LeisersonRonaldL.RivestCliffordSteinIntroductiontoAlgorithmsThirdEditionTheMITPressCambridge,Massachuse

2、ttsLondon,Englandc2009MassachusettsInstituteofTechnologyAllrightsreserved.Nopartofthisbookmaybereproducedinanyformorbyanyelectronicormechanicalmeans(includingphotocopying,recording,orinformationstorageandretrieval)withoutpermissioninwritingfromthepublisher

3、.Forinformationaboutspecialquantitydiscounts,pleaseemailspecialsales@mitpress.mit.edu.ThisbookwassetinTimesRomanandMathtimePro2bytheauthors.PrintedandboundintheUnitedStatesofAmerica.LibraryofCongressCataloging-in-PublicationDataIntroductiontoalgorithms/Thom

4、asH.Cormen...[etal.].—3rded.p.cm.Includesbibliographicalreferencesandindex.ISBN978-0-262-03384-8(hardcover:alk.paper)—ISBN978-0-262-53305-8(pbk.:alk.paper)1.Computerprogramming.2.Computeralgorithms.I.Cormen,ThomasH.QA76.6.I58582009005.1—dc222009008593109876

5、5432ContentsPrefacexiiiIFoundationsIntroduction31TheRoleofAlgorithmsinComputing51.1Algorithms51.2Algorithmsasatechnology112GettingStarted162.1Insertionsort162.2Analyzingalgorithms232.3Designingalgorithms293GrowthofFunctions433.1Asymptoticnotation433.2Standa

6、rdnotationsandcommonfunctions534Divide-and-Conquer654.1Themaximum-subarrayproblem684.2Strassen’salgorithmformatrixmultiplication754.3Thesubstitutionmethodforsolvingrecurrences834.4Therecursion-treemethodforsolvingrecurrences884.5Themastermethodforsolvingrec

7、urrences93?4.6Proofofthemastertheorem975ProbabilisticAnalysisandRandomizedAlgorithms1145.1Thehiringproblem1145.2Indicatorrandomvariables1185.3Randomizedalgorithms122?5.4Probabilisticanalysisandfurtherusesofindicatorrandomvariables130viContentsIISortingandOr

8、derStatisticsIntroduction1476Heapsort1516.1Heaps1516.2Maintainingtheheapproperty1546.3Buildingaheap1566.4Theheapsortalgorithm1596.5Priorityqueues1627Quicksort1707.1Descriptionofquicksort1707.2Performan