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

See More Books

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?
Show the steps involved in the FriedelCrafts reaction of benzene with CH 3 Cl.
A sphere of radius $R$ is rotating in an infinite fluid at an angular velocity of $\Omega$. Derive the following expression for the velocity field: \[v_{\phi}=r \Omega \sin \theta...
When viscous dissipation is included, Equation 8.48 (multiplied by pcp) becomes This problem explores the importance of viscous dissipation. The conditions under consideration are laminar, fully...
Find the sources of finance for Netflix, Amazon prime, alt Balaji, Zee 5 and Disney hotstar .find It's capital structure, its operating leverage, financial leverage, combined leverage and company...
Wells Teaching Institute (WTI), a school owned by Tracey Wells, provides training to individuals who pay tuition directly to the school. WTI also offers training to groups in off-site locations. Its...
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.
Solve the given inequalities algebraically and graph each solution. 3x + 1 < 5
The company manufactures a single product, cleverly named Product X. The following information is available for the calendar year 2018 just completed, during which they produced and sold 200,000...
1. Simplify (3) + (6) + (2) giving your answer as a single binomial coefficient of the form 2. Find the expansion of (i) (3r-4y)4 (x - 1)8 3. Expand (a + b)5. If a = 3 and b = 1, find the value (as a...
Build out a highly available website according to AWS best practices and security principals. The website servs 3 different webpages based on the path specified in the URL. These webpages are served...
Mancon Trading has provided the following cash book summary (bank columns only) for August 2020. Dr Aug 2020 1 7 12 20 27 1 6 Bal blf Cash 7 9 Richard T Chan Cash Cash Book RM 1,400 100 400 150 120...
Following the template provided for the bank reconciliation, prepare a bank reconciliation (in full format with description of each reconciled amount) for the following company: Bank Statement of...
A. Steve Jackson (birthdate December 13, 1965) is a single taxpayer living at 3215 Pacific Dr., Apt. B, Pacific Beach, CA 92109. His Social Security number is 465-88-9415. In 2018, Steves earnings...
The graph of an equation is given. (a) Find the intercepts. (b) Indicate whether the graph is symmetric with respect to the x-axis, the y-axis, or the origin. -3 6 -6 3 x
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.
Pangasa Co. paid its annual worker accident insurance premium of $48,000 on its manufacturing facility in January. The company expects two worker accidents to happen during the year, and to make...
3. The game of baseball is often analyzed using Markov models. The state of the game can be represented by listing bases that have runners and keeping track of how many outs there are. There are...
Thornton Electronics currently produces the shipping containers it uses to deliver the electronics products it sells. The monthly cost of producing 9,300 containers follows. Unit-level materials...

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