9. Voting Suppose that the votes of n people for different candidates (where there can be more than two candidates) for a particular office are the elements of a sequence. A person wins the election if this person receives a majority of the votes. (a) Devise a divide-and-conquer algorithm that determines whether a candidate received a majority and, if so, determine who this candidate is. (b) Devise a divide-and-conquer algorithm that determines whether the two candidates who received the most votes each received at least n/4 votes and, if so, determine who these two candidates are. (c) Give a big-O estimate for the number of comparisons needed by the algorithm you devised in part (a).

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Voting
Suppose that the votes of n people for different candidates (where there can be more than two candidates)
for a particular office are the elements of a sequence. A person wins the election if this person receives
a majority of the votes.
9.
(a) Devise a divide-and-conquer algorithm that determines whether a candidate received a majority
and, if so, determine who this candidate is.
(b) Devise a divide-and-conquer algorithm that determines whether the two candidates who received
the most votes each received at least n/4 votes and, if so, determine who these two candidates are.
(c) Give a big-O estimate for the number of comparisons needed by the algorithm you devised in part
(a).
Transcribed Image Text:Voting Suppose that the votes of n people for different candidates (where there can be more than two candidates) for a particular office are the elements of a sequence. A person wins the election if this person receives a majority of the votes. 9. (a) Devise a divide-and-conquer algorithm that determines whether a candidate received a majority and, if so, determine who this candidate is. (b) Devise a divide-and-conquer algorithm that determines whether the two candidates who received the most votes each received at least n/4 votes and, if so, determine who these two candidates are. (c) Give a big-O estimate for the number of comparisons needed by the algorithm you devised in part (a).
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