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recurrence relation

recurrence relation

Database System Concepts
Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
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All parts of Q11 please. 

11.) (a) Show how to Merge (not Mergesort) three ordered lists each of size n/3, with a total of at most -n compare operations. 3 (b) Let's examine a new Merge sort algorithm, where parameter A in (A,n) is a list of numbers to be sorted and n is the total length of list A. Procedure mergeSort (A,n):: if Else n=1 then return A divide A into three equal size lists B, C, D, B: mergesort(B,n/3) C:=mergesort(C,n/3) D:=mergesort(D,n/3) return merge(B, C, D) End. Set up and solve a recurrence relation to analyze the worst-case number of operations of compares that this version does.
Transcribed Image Text:11.) (a) Show how to Merge (not Mergesort) three ordered lists each of size n/3, with a total of at most -n compare operations. 3 (b) Let's examine a new Merge sort algorithm, where parameter A in (A,n) is a list of numbers to be sorted and n is the total length of list A. Procedure mergeSort (A,n):: if Else n=1 then return A divide A into three equal size lists B, C, D, B: mergesort(B,n/3) C:=mergesort(C,n/3) D:=mergesort(D,n/3) return merge(B, C, D) End. Set up and solve a recurrence relation to analyze the worst-case number of operations of compares that this version does.
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