Suppose we have an O(n) time algorithm that finds the median of an unsorted array. Now consider a QuickSort implementation where we first find median using the above algorithm, then use median as the pivot. What will be the worst-case time complexity of this modified QuickSort? (A) O(n^2 Logn) (B) O(n^2) (C) O(n Logn Logn) (D) O(nLogn) (E) O(n)

Suppose we have an O(n) time algorithm that finds the median of an unsorted array. Now consider a QuickSort implementation where we first find median using the above algorithm, then use median as the pivot. What will be the worst-case time complexity of this modified QuickSort? (A) O(n^2 Logn) (B) O(n^2) (C) O(n Logn Logn) (D) O(nLogn) (E) O(n)

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

Section: Chapter Questions

Problem 1PE

See similar textbooks

Similar questions

What is the time complexity of the below function?
Question 1 Given an unsorted array of n numbers, a1, a2, two numbers ai and aj, i + j, such that ai+ aj = s. Design a brute-force algorithm for this problem. Describe its time complexity. an and a number s. The problem is to determine whether there exist
Show how quicksort can be made to run in O(nlogn) time in the worst case. Assume the input array is A[0:n-1] and all elements in A are distinct. Write your answer as pseudo-code and use plain language to explain the idea of your algorithm. (Hint: you can use any algorithm helper functions in parts of the designed algorithm. If you use an algorithm, you can directly call the function name in the pseudo-code without expanding the details of the helper function, as long as you clearly explain the meaning of the helper function.)
Considering the following algorithm, analyze its best case, worst case and average case time complexity in terms of a polynomial of n and the asymptotic notation of ɵ. You need to show the steps of your analysis.
Construct a Divide and Conquer-based algorithm for the following problem andanalyze the same in the worst case.Input: An ordered array L with n elements and item X that is to be searched inthe array L.Output: Index j where L[j]=X, if X is found or else j = 0, if X not found.
solve
I need help the question
Could someone help implement this in python. Would be great to show it for local max too. Just trying to achieve O(n) complexity.
Let's pretend we're interested in checking whether there are any duplicates in an unsorted array of n entries, A. These components are whole numbers in the range [1, 2n]. Share the worst-case running time T(n) as an asymptotic order. Seek for the most effective algorithm.
I keep getting different answers which is the true answer
Suppose we are given two sorted arrays A and B which each contain n elements. Give an O(log n) time divide-and-conquer algorithm which finds the median of A ∪ B.
I need the algorithm, proof of correctness and runtime analysis for the problem. No code necessary ONLY algorithm. And runtime should be O(n^2).