Suppose that each person in a group of n people votes forexactly two people from a slate of candidates to fill twopositions on a committee. The top two finishers both winpositions as long as each receives more than n∕2 votes.a) Devise a divide-and-conquer algorithm that determineswhether the two candidates who received themost votes each received at least n∕2 votes and, if so,determine who these two candidates are.b) Use the master theorem to give a big-O estimate forthe number of comparisons needed by the algorithmyou devised in part (a).
Suppose that each person in a group of n people votes forexactly two people from a slate of candidates to fill twopositions on a committee. The top two finishers both winpositions as long as each receives more than n∕2 votes.a) Devise a divide-and-conquer algorithm that determineswhether the two candidates who received themost votes each received at least n∕2 votes and, if so,determine who these two candidates are.b) Use the master theorem to give a big-O estimate forthe number of comparisons needed by the algorithmyou devised in part (a).
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Question
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 give a big-O estimate for
the number of comparisons needed by the algorithm
you devised in part (a).
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