lecture 11 augmenting data structures, dynamic order statistics, interval trees

lecture 11 augmenting data structures, dynamic order statistics, interval trees

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1、MITOpenCourseWarehttp://ocw.mit.edu6.046JIntroductiontoAlgorithms,Fall2005Pleaseusethefollowingcitationformat:ErikDemaineandCharlesLeiserson,6.046JIntroductiontoAlgorithms,Fall2005.(MassachusettsInstituteofTechnology:MITOpenCourseWare).http://ocw.mit.edu(accessedMMDD,YYY

2、Y).License:CreativeCommonsAttribution-Noncommercial-ShareAlike.Note:Pleaseusetheactualdateyouaccessedthismaterialinyourcitation.FormoreinformationaboutcitingthesematerialsorourTermsofUse,visit:http://ocw.mit.edu/termsMITOpenCourseWarehttp://ocw.mit.edu6.046JIntroductiont

3、oAlgorithms,Fall2005Transcript–Lecture11Goodmorning.Todaywe'regoingtotalkaboutaugmentingdatastructures.Andthisisa--Normally,ratherthandesigningdatastructuresfromscratch,youtendtotakeexistingdatastructuresandbuildyourfunctionalityintothem.Andthatisaprocesswecalldata-struc

4、tureaugmentation.Andthisalsotodaymarkssortofthestartofthedesignphaseoftheclass.Wespentalotoftimedoinganalysisuptothispoint.Andnowwe'restillgoingtolearnsomenewanalyticaltechniques.Butwe'regoingtostartturningourfocusmoretowardhowisitthatyoudesignefficientdatastructures,eff

5、icientalgorithmsforvariousproblems?Sothisisagoodexampleofthedesignphase.Itisareallygoodidea,atthispoint,ifyouhavenotdoneso,toreviewthetextbookAppendixB.Youshouldtakethatasadditionalreadingtomakesurethatyouarefamiliar,becauseoverthenextfewweekswe'regoingtohitalmosteveryto

6、picinAppendixB.Itisgoingtobebroughttobearonthesubjectsthatwe'retalkingabout.Ifyou'regoingtogoscrambletolearnthatwhileyou'realsotryingtolearnthematerial,itwillbemoreonerousthanifyoujustsimplyreviewthematerialnow.We'regoingtostartwithanillustrationoftheproblemofdynamicorde

7、rstatistics.Wearefamiliarwithfindingthingslikethemedianorthekthorderstatisticorwhatever.Nowwewanttodothesamethingbutwewanttodoitwithadynamicset.Ratherthanbeinggivenallthedataupfront,we'regoingtohaveaset.Andthenatsomepointsomebodyisgoingtobedoingtypicallyinsertanddelete.A

8、ndatsomepointsomebodyisgoingtosayOK,selectformetheithlargestguyortheithsmallestguy----inthedynamicset.O

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