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Projects
Project1:PerformanceMeasurement
Givenalistofordered
Nintegers,numberedfrom0to
N–1,checkingtoseethatNisnot
inthislistprovidesaworstcaseformanysearchalgorithms.
Considertwoalgorithms:oneiscalled“sequentialsearch”whichscansthroughthelistfromlefttoright;andtheotheris“binarysearch”whichisgivenonpage24(Figure2.9)ofyourtextbook.Yourtasksare:
Implementaniterativeversionandarecursiveversionofsequentialsearch;
Implementaniterativeversionofbinarysearch;
Analyzetheworstcasecomplexitiesoftheabovetwoversionsofsequentialsearchandthatofbinarysearch;
Measureandcomparetheworstcaseperformancesoftheabovethreefunctionsfor
N=100,500,1000,2000,4000,6000,8000,10000.
Tomeasuretheperformanceofafunction,wemayuseC’sstandardlibrarytime.hasthefollowing:
Note:Ifafunctionrunssoquicklythatittakeslessthanaticktofinish,wemayrepeatthefunctioncallsforKtimestoobtainatotalruntime(“TotalTime”),andthendividethetotaltime
byK
toobtainamoreaccurateduration(“Duration”)forasinglefunofthefunction.The
repetitionfactormustbylargeenoughsothatthenumberofelapsedticksisatleast10ifwewantanaccuracyofatleast10%.
Thetestresultsmustbelistedinthefollowingtable:
Theperformancesofthethreefunctionsmustbeplottedinthesame
N-run_timecoordinate
system for illustration.
Project2:ImplementationofLists,andPolynomial
Problems
Mergetwoorderedlistsintoanewlinkedlistinwhichthenodesarealsointhisorder.Iflengthsoforiginaltwolistsaremandn,thelengthofnewlinkedlistism+n.
Forexample:
Input:
5(lengthoflist1)
4 26 46 56 95
11(lengthoflist2)
15 17 26 30 46 48 56 58 82 90 95
Output:
4 15 17 26 30 46 48 56 58 82 90 95
Demands:
Youshouldusesinglelinkedlist(withaheader)tocreatethefunctionsMakeEmpty,IsEmpty,IsLast,Find,Delete,FindPrev
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