Consider this visualization of disjoint sets: a. What does find (20) return?  b. What does find (18) return?  c. In your own words, explain the differences between union by size and union by height in disjoint set implementations. Use the above illustration if it would help you answer this question better  d. Now Suppose we call Find(12) and we are using path compression. Which links change, and what do they change to once compression is complete?

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
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Consider this visualization of disjoint sets:
a. What does find (20) return? 
b. What does find (18) return? 
c. In your own words, explain the differences between union by size and union by height in disjoint set
implementations. Use the above illustration if it would help you answer this question better 
d. Now Suppose we call Find(12) and we are using path compression. Which links change, and what do
they change to once compression is complete? 

10
14
13
16
21
8
18
(11
(17
20
15
19
2
12
Transcribed Image Text:10 14 13 16 21 8 18 (11 (17 20 15 19 2 12
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