Question: Given an array of elements A[1,...,n], give an O(nlogn) time algorithm to find a majority element, namely an element that is stored in more than

Given an array of elements A[1,...,n], give an O(nlogn) time algorithm

Given an array of elements A[1,...,n], give an O(nlogn) time algorithm to find a majority element, namely an element that is stored in more than n/2 locations, if one exists. Note that the elements of the array are not necessarily integers, so you can only check whether two elements are equal or not, and not whether one is larger than the other

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer

Step: 1 Unlock blur-text-image

Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock

Step: 3 Unlock

Students Have Also Explored These Related Databases Questions!

Suppose we are given an array of votes A[1 ... n). We are trying to find out if there is a majority vote, i.e., a vote that is repeated in more than half of the n array elements. Our algorithm should...

Let r and s be solutions to the quadratic equation x 2 b x + c = 0. For n N, define d0 = 0 d1 = r s dn = b dn1 c dn2 (n 2) Prove that dn = r n s n for all n N. [4 marks] (b) Recall that a commutative...

Design an algorithm that solves the majority element problem in O ( n log n ) time. The input to your algorithm is a list A [ 1 . . . n ] and the output is the majority element of A , if it exists....

Have a C compiler which is ANSI conforming in all respects except that it has no facility for the definition, declaration or use of standard C structures. Outline a set of routines written in this...

5 . You are given an array A [ 1 . . n ] of n integers. We define an element x to be in the majority if the set Ix = { i : A [ i ] = x } has size strictly more than n / 2 . Note that any array A can...

You are given an array A [ 1 . . n ] of n integers. We define an element x to be in the majority if the set Ix = { i : A [ i ] = x } has size strictly more than n / 2 . Note that any array A can have...

from java and algorithm classes: 5.33 A majority element in an array A of size N is an element that appears more than N/2 times (thus there is at most one each element). For example, the array...

We want to compare the worst-case complexity of the sorting algorithms InsertionSort, MergeSort, HeapSort, and QuickSort as studied in this course. However, we want to compare their worst-case...

Assume you have an array A[1. . n] of n elements. A majority element of A is any element occurring in more than n/2 positions (so if n = 6 or n = 7, any majority element will occur in at least 4...

i need the code to do that not the explanation please from java and algorithm classes: 5.33 A majority element in an array A of size N is an element that appears more than N/2 times (thus there is at...

SEEK is considering investing in a job board in Brazil that lists 40% of all job ads available in the country, half of which are not listed elsewhere. The company uses banded pricing 30% of its ads...

Answer the following questions by referring to the financial statements of Leons Furniture Limited and Shoppers Drug Mart Corporation, in Appendixes B and C: 1. Do you expect the gross margin of each...

5. In 2025, Ghostbusters SA spent 420,000 for goodwill visits by sales personnel to key customers. The purpose of these visits was to build a solid, friendly relationship for the future and to gain...

Questions Q1. Write a Python program to retrieve the first and last colors from the following list: color_list = ["red", "green", "white", "blue", "black") Q2. Given the following dictionary,...

Media Skills: Microblogging [LO-1], Chapter 6 Write four messages of no more than 140 characters each (short enough to work as Twitter tweets, in other words) to persuade other college students to...

What changes would you make to your email messages if you know your recipients are typically walking or riding on mass transit when they read your messages? [LO-4]

Imagine that youve been invited to a parentteacher meeting at your childs school next week. However, your boss has also assigned you to a crucial business call that very same day. Youve tried...