In the analysis of mergesort, constants have been disregarded. Prove that the number of comparisons used in

Question:

In the analysis of mergesort, constants have been disregarded. Prove that the number of comparisons used in the worst case by mergesort is N[log N] - 2[logN] + 1.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Data Structures and Algorithm Analysis in Java

ISBN: 978-0132576277

3rd edition

Authors: Mark A. Weiss

Question Posted: Mar 06, 2018 10:04 AM

See More Questions

Show that the sum n i=1 logi, appearing in the analysis of heap-sort, is (nlogn).
Show that the sum which appears in the analysis of heap-sort, is ?(n log n). log i, 1og , i=1
Determine the running time of mergesort for a. Sorted input b. Reverse-ordered input c. Random input
Why do most cities in the United States now have more radios but fewer radio repair shops than they did in 1960?
A pendulum with a length of 1.00 m is released from an initial angle of 15.0. After 1 000 s, its amplitude has been reduced by friction to 5.50. What is the value of b/2m?
General Mills Inc. (GIS) produces, markets, and distributes cereal and food products including Cheerios, Wheaties, Cocoa Puffs, Yoplait, and Pillsbury branded products. The following partial income...
What is meant by: (a) Occupancy percentage (b) Multiple occupancy ratio (c) Average daily rate (d) Average rate per guest (e) Foreigners to domestic visitors ratio
1. The cost per square foot for the units is given in the text together with its standard deviation. What other areas of cost or revenue are likely to have cost uncertainty? How should these...
EA1. LO 12.1 Campus Flights takes out a bank loan in the amount of $200,500 on March 1. The terms of the loan include a repayment of principal in ten equal installments, paid annually from March 1....
Keene Hospital Pharmacy fills three types of prescriptions. Prescription X requires refrigeration to maintain the drug's efficacy. Prescription Y has potentially fatal interactions with other drugs...
How would you implement mergesort without using recursion?
Sort 3, 1, 4, 1, 5, 9, 2, 6, 5, 3, 5 using quicksort with median-of-three partitioning and a cutoff of 3.
Which of these graphs are cacti? a) b) c)
Why do you think diversity is important to organizations and what can a do to increase diversity in leadership? What is Servant Leadership? How can you apply this in your life? What is effective team...
How do you envision overcoming any potential resistance or skepticism from your colleagues in the vet tech field as you introduce these transformative strategies, and what steps do you think will be...
Managers encourage employees to do misleading activities such as speak falsehood and deceive customers which is clearly visible in the statement in the case " Sales are everything" wherein an...
Your Topic is "Why do you think there are so few people who succeed at both management and leadership? Is it reasonable to believe someone can be good at both?" Locate two to three articles about...
Explain the various benefits associated with professional networking. Also, expand on your answers how those would benefit you personally. PLEASE DO FAST AND CORRECT need correct answer
The Dead Sea Scrolls were written on parchment in about 100 B.C. What percentage of the original 14 C in the parchment remained when the scrolls were discovered in 1947?
What are the principal alloying elements in SAE 4340 steel?
Show how quick sort can be made to run in O (n lg n) time in the worst case.
Suppose that you have a "black-box" worst-case linear-time median subroutine. Give a simple, linear-time algorithm that solves the selection problem for an arbitrary order statistic.
Let X [1 .. n] and Y [1 .. n] be two arrays, each containing n numbers already in sorted order. Give an O (lg n)-time algorithm to find the median of all 2n elements in arrays X and Y.
If John invested $20,000 in a stock paying annual qualifying dividends equal to 4% of his investment, what would the value of his investment be 5 years from now? Assume Johns marginal ordinary tax...
help asap please!
Please, help asap! I have one day. Feedback will be given. & show some work. [in Excel] For the final project you will need you to create a spreadsheet /proforma of the cash flows from a property....

In the analysis of mergesort, constants have been disregarded. Prove that the number of comparisons used in

Question:

Step by Step Answer:

See reference ...View the full answer

Data Structures and Algorithm Analysis in Java

Students also viewed these Computer Sciences questions