Problem 1. Assume we have an array A = {a1,...,an) of n elements, where it is guaranteed a majority element exists. For example, {2, 1, 1} has a majority element 1. a. Describe a divide and conquer method to solve this problem. b. Write the run time as a recurrence sequence. c. Solve this recurrence sequence using any method introduced so far (expansion, generative function, master theorem).

C++ Programming: From Problem Analysis to Program Design
8th Edition
ISBN:9781337102087
Author:D. S. Malik
Publisher:D. S. Malik
Chapter15: Recursion
Section: Chapter Questions
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Problem 1.
Assume we have an array A = {a1,...,an) of n elements, where it is guaranteed a
majority element exists. For example, (2, 1, 1) has a majority element 1.
a. Describe a divide and conquer method to solve this problem.
b. Write the run time as a recurrence sequence.
c. Solve this recurrence sequence using any method introduced so far (expansion, generative function,
master theorem).
Transcribed Image Text:Problem 1. Assume we have an array A = {a1,...,an) of n elements, where it is guaranteed a majority element exists. For example, (2, 1, 1) has a majority element 1. a. Describe a divide and conquer method to solve this problem. b. Write the run time as a recurrence sequence. c. Solve this recurrence sequence using any method introduced so far (expansion, generative function, master theorem).
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