Suppose that each person in a group of n people votes for exactly two people from a slate of candidates to fill two positions on a committee. The top two finishers both win positions as long as each receives more than n /2 votes. a) Devise a divide-and-conquer algorithm that determines whether the two candidates who received the most votes each received at least n /2 votes and, if so, determine who these two candidates are. b) Use the Master Theorem to estimate the number of comparisons needed by the algorithm you devised in part (a)

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
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Suppose that each person in a group of n people votes
for exactly two people from a slate of candidates to fill
two positions on a committee. The top two finishers both
win positions as long as each receives more than n /2
votes.
a) Devise a divide-and-conquer algorithm that determines whether the two candidates who received the
most votes each received at least n /2 votes and, if so,
determine who these two candidates are.
b) Use the Master Theorem to estimate the number of
comparisons needed by the algorithm you devised in
part (a)

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