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ReadSection12.1oftheSIT221coursebook“Datastructuresandalgorithmsin Java”(2014)byM.Goodrich,R.Tamassia,andM.GoldwasserontheMergeSortalgorithm. Thismaterialrepeatswhatyouhavealreadylearnedfromthelecturesinweeks2and3.Make sure that you understand algorithmic concept of thismethod with regard to its recursive nature.UsethegeneraldescriptionofMergeSortin12.1.1andthecodefragments12.1and 12.2 to implement its array-basedtop-down recursive version. The corresponding sorting function must be encapsulated within a new class called “MergeSortTopDown” and implement theISorterinterface (explainedin thePracticalTask3), thusintroducespecific implementationfortheinherited voidSort(T[]array,IComparercomparer) methodoftheinterface.Itmusthaveadefaultconstructoronly.Youareallowedtoaddany extraprivatemethodsandattributesifnecessary.Thenewclassshouldbeplacedintothe Project01subfolderoftheattached.NETframeworkproject. Part1.2 Asanadditionaltasktothepreviouspart,showbytheMasterTheoremthatthe recursiveMergeSorthas??? log ??worst-caseruntimecomplexity.Presentyourdeduction inthereport. Part1.3 Now, proceed with Section 12.1.5 and investigate the bottom-up version of MergeSort.Makesurethattheissuerelatedtotemporarymemoryusage,whichmakestwo versions different not only from implementation point of view, but also from efficiency SIT221DataStructuresandAlgorithms Trimester2,2018 3 prospective, is clear for you. Similarly, in folder Project01, create a new class named “MergeSortBottomUp”implementingISorterandencodethisalgorithm.

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