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Split the array into groups of size 3

Split the array into groups of size 3

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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Recall that in the deterministic approach for choosing the pivot in the SELECT algorithm, first we split the elements of the array into groups of size 5. We want to see how the running time of SELECT changes by varying the size of groups. Consider the following cases: (a) Split the array into groups of size 3 (b) Split the array into groups of size 7 For each case, write the corresponding recursion for the running time of the SELECT algorithm, draw the corresponding recursion tree for the worst case, and use it to solve the recursion for the worst case. For full credit, your answers must use O(.) notation (You do NOT need to use strong induction to prove your result).
Transcribed Image Text:Recall that in the deterministic approach for choosing the pivot in the SELECT algorithm, first we split the elements of the array into groups of size 5. We want to see how the running time of SELECT changes by varying the size of groups. Consider the following cases: (a) Split the array into groups of size 3 (b) Split the array into groups of size 7 For each case, write the corresponding recursion for the running time of the SELECT algorithm, draw the corresponding recursion tree for the worst case, and use it to solve the recursion for the worst case. For full credit, your answers must use O(.) notation (You do NOT need to use strong induction to prove your result).
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