8. The following comparison tree sorts the four values a, b, c, and d. hed ahde and acha cahd ado chad bed adhe dahe> hdae||

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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8.
The following comparison tree sorts the four values a, b, c, and d.
abed
bod
b:d
<bac.d
ad
ad
ad
a.b.de>
ad
a.c.hd>
cad
cahd
axd
bd
ed
<chad
ad,helahc
<a,cdb>
axd
Cadh>
ed
<hdacdbaC
hcda
bod
<chda
adeb dac.b>
.da d.cab
cdha dc.ha
8a) What is the worst-case number of comparisons performed by the comparison tree?
8b) What is the best-case number of comparisons performed by the comparison tree?
8c) What is the average-case number of comparisons performed by the comparison tree, assuming
that any permutation of the four inputs is equally likely?
Transcribed Image Text:8. The following comparison tree sorts the four values a, b, c, and d. abed bod b:d <bac.d ad ad ad a.b.de> ad a.c.hd> cad cahd axd bd ed <chad ad,helahc <a,cdb> axd Cadh> ed <hdacdbaC hcda bod <chda adeb dac.b> .da d.cab cdha dc.ha 8a) What is the worst-case number of comparisons performed by the comparison tree? 8b) What is the best-case number of comparisons performed by the comparison tree? 8c) What is the average-case number of comparisons performed by the comparison tree, assuming that any permutation of the four inputs is equally likely?
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