Question: 3. (15 points) Let A be an array of n numbers. Suppose that you have an algorithm Algo() that finds the median of any array

3. (15 points) Let A be an array of n numbers.

3. (15 points) Let A be an array of n numbers. Suppose that you have an algorithm Algo() that finds the median of any array of numbers! in time linear in the number of elements of the array (that is, in OC#elements in the array)). Show how, using Algo(), Quick Sort can be modified so that it runs in O(n lg n) time in the worst case. Write a pseudocode for the modified Quick Sort, and analyze its running time by describing its recurrence relation and solving it. You can use the subroutine Algo(), which takes as input an array and re- turns the position of the median element in the array, as a black box in the modified Quick Sort

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!

Need help with a Design and Analysis of Algorithms question: Let A be an array of n numbers. Suppose that you have an algorithm Algo( that finds the median of any array of numbers in time linear in...

3. (25 points) Let A[1..] be an array of n distinct numbers. If i A, the pair (i,j) is called an inversion of A. (a) List all the inversions of the array(2,3, 8,6, l). b) What array with elements...

4 Problem 4 (30 points) Let A be some array of n integers (possibly negative), with no duplicated elements, and recall that Rank(x) = k if r is the kth smallest element of A. Now define...

Find a linear - time algorithm to determine, as efficiently as possible, the smallest and second smallest element in an array of n numbers. 1 . After you show that the algorithm runs in linear time,...

Please explain me how this answer will come step by step Quiz 4: Divide-and-Conquer Question 1 47 out of 50 points Let A[1n] be an array of n positive and negative numbers. The minimum subarray of A...

Note: There may be some 'practice' problems which will NOT be graded. But they are equally important for the learning as the other ones. You don't need to submit your answer to these problems;...

( 2 0 points ) Let A [ 1 . . n ] be an array of n possibly non - distinct integers. The array A may not be sorted. The q - th quantiles of A [ 1 . . n ] are the k - th smallest elements of A for k =...

want a clearly explanation thank u soooo much 3. (20 points) Let a1,---, an be n distinct real numbers, and wi, .., wn be a set of n positive weights with wit . . . + wn-1. The weighted median of the...

Question 4 : Lower Bounds and Linear time Sorting ( a ) 1 0 points Let \ ( A [ ] \ ) be an array of \ ( n \ ) real ( decimal ) numbers, uniformly distributed from 1 to 1 0 0 . A student would like to...

Quiz 4: Divide-and-Conquer Question 1 47 out of 50 points Let A[1n] be an array of n positive and negative numbers. The minimum subarray of A is a contiguous subarray of A which has the smallest sum....

Three students were asked to find the identity of the metal in a particular sulfate salt. They dissolved a 0.1472-g sample of the salt in water and treated it with excess barium chloride, resulting...

Draw the BPM model for the following scenario. Be sure to comply with all syntax rules and include swinlanes and pools as necessary. To apply for a job at MegaMart, a Candidate creates an application...

The Griffey - Lang Food Company faces a difficult problem. In management's effort to grow the business, they accrued a debt of $ 1 5 0 million while the value of the company is only $ 1 2 5 million....

You are the chief financial officer of Barlow Property Group. On 30 June 2019, the company's share price is $9.74 and its convertible debt (as shown in the table below) is now callable. a) What is...

Explain the importance of effectively communicating the nature and value of benefits to employees. page 562

Explain the importance of process issues such as communication in compensation management. page 521

Describe the regulatory constraints that affect the way employee benefits are designed and administered. page 566