5. Union/Find operation, (a) show that the heuristic “weighting rule" for Union guarantees the height of the tree is bounded above by O(log n). Note that, in the book, the weighting rule is defined by using the "rank" of a tree. In my lecture, the weighting rule is defined by using the number of nodes. To answer this question, use the definition in the lecture (number of nodes). (b) Show that by suing the weighting rule, the bound O(log n) is achievable, i.e., there is Cheicht 0/1

5. Union/Find operation, (a) show that the heuristic “weighting rule" for Union guarantees the height of the tree is bounded above by O(log n). Note that, in the book, the weighting rule is defined by using the "rank" of a tree. In my lecture, the weighting rule is defined by using the number of nodes. To answer this question, use the definition in the lecture (number of nodes). (b) Show that by suing the weighting rule, the bound O(log n) is achievable, i.e., there is Cheicht 0/1

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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This is a question about Divide-and-Conquer Recurrence Equations. Can you show me the answer with clear explanations for questions a and c? Thank you.
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