1. Assume that you have a special routine that, given an array of size n, uses...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
1. Assume that you have a special routine that, given an array of size n, uses no comparisons to return the index of a random element whose value is in the middle third of the array. So the value of this element is between the n/3+1th and 2n/3rd smallest, inclusive. Assume that you execute quicksort with the help of this routine. (a) Estimate the number of comparisons that quicksort now uses assuming that the 5n/12th smallest element is always picked by this routine. Just get the high order term. (b) Find the high order term for the number of comparisons that quicksort now uses. To simplify the computation, you may assume that the size of a sublist is always a multiple of 3, and you may modify your summation bounds a small constant amount, but state when and how you do so. (c) Compare your estimate from Part (a) with the actual value for the high order term from Part (b). 1. Assume that you have a special routine that, given an array of size n, uses no comparisons to return the index of a random element whose value is in the middle third of the array. So the value of this element is between the n/3+1th and 2n/3rd smallest, inclusive. Assume that you execute quicksort with the help of this routine. (a) Estimate the number of comparisons that quicksort now uses assuming that the 5n/12th smallest element is always picked by this routine. Just get the high order term. (b) Find the high order term for the number of comparisons that quicksort now uses. To simplify the computation, you may assume that the size of a sublist is always a multiple of 3, and you may modify your summation bounds a small constant amount, but state when and how you do so. (c) Compare your estimate from Part (a) with the actual value for the high order term from Part (b).
Expert Answer:
Answer rating: 100% (QA)
a To estimate the number of comparisons that quicksort uses when the 5n12th smallest element is always picked by the special routine we need to determine the recursion depth and the number of comparis... View the full answer
Related Book For
Posted Date:
Students also viewed these programming questions
-
AVIATION INSTITUTE OF MAINTENANCE NON-METALLIC STRUCTURES PROJECT A8 Name: Ahmed Algahim Date: 11/22/23 ITEM(S): Score: Apply Finishing Materials STUDENT PERFORMANCE GOALS: OBJECTIVE: PROCEDURE: Sand...
-
CANMNMM January of this year. (a) Each item will be held in a record. Describe all the data structures that must refer to these records to implement the required functionality. Describe all the...
-
In this question assume that p and q are atomic formulae. (a) Compare and contrast path formulae and state formulae in temporal logic. [4 marks] (b) Describe and contrast the meanings of F(G p) and...
-
Ballard Ltd makes three products A, B and C. Each passes throughtwo departments: Machining and Assembly. Budgeted production ineach department by each productUnitsMachiningAssemblyPr 2 answers
-
Reread the Country Focus on Islamic Capitalism in Turkey. Then answer the following questions: a. Can you see anything in the values and norms of Islam that is hostile to business? b. What does the...
-
Less than 2.56 Assume that a randomly selected subject is given a bone density test. Those test scores are normally distributed with a mean of 0 and a standard deviation of 1. In each case, draw a...
-
Creature Comforts makes beds for cat and dogs. The beds are made from flannel fabric and cotton stuffing. In June, the company purchased 1,000 metres of flannel at a price of \($5\) per metre and 700...
-
Mystic Pizza Company purchased a patent from Prime Pizza Plus on January 1, Year 1 for $72,000. The patent has a remaining legal life of nine years. Prepare the journal entries to record the...
-
City Infrastructure Holdings Ltd (CIH) acquired 100% of the 300,000 issued shares in Network Maintenance Services (NMS) on 1 July 2021. The consideration provided to shareholders of NMS consisted of...
-
Assignment Instructions The newly appointed accountant of a start-up company Pioneer Limited, which has received funding from two sharks jointly in the Shark Tank against the issue of debentures, has...
-
Problem 4 Given conditions of Problem 2 and starting from free trade, assume that Foreign offers exporters a subsidy of 1.5 per unit. Calculate the effects on the price in each country and on...
-
4. Derive that the average power consumed by a pure inductor is zero. OR A coil of resistance 1002 and inductance 0.02H is connected in series with another coil of resistance 62 and inductance 15mH...
-
Wells Technical Institute (WTI), a school owned by Tristana Wells, provides training to individuals who pay tuition directly to the school. WTI also offers training to groups in off-site locations....
-
Similar to audits of for-profit entities in which the adequacy of the allowance for doubtful accounts associated with accounts receivable must be evaluated, audits of government and nonprofit...
-
Determine the value of ii, 12 and is in the network given in Fig.3 using Mesh Analysis. www www 202 5.92 1092 ww g 30 6V 20V 10 $20924A 5. 20 Fig.3 Fig.4 OR Calculate the current across 2002 resistor...
-
DNA sequences are made up of 4 nucleotides A, C, G and T. In reality, they are not equally likely to arise and are not independent; however, to start let's pretend they are. (a) Assuming that each...
-
Activity 1: Access ACEQCA website in the following link https://www.acecqa.gov.au/nqf/national-quality-standard and find 2 of the National Quality are that will ensure that appropriate care for...
-
Determine the values of the given trigonometric functions directly on a calculator. The angles are approximate. tan 0.8035
-
Explain why some corporate executives may perceive that their independent auditors are a necessary evil. How can auditors combat or change that attitude?
-
Describe what you believe is implied by the term engagement risk. What are the key factors likely considered by Deloitte and other audit firms when assessing engagement risk? How, if at all, are...
-
Compare and contrast the conduct of Guy Enright and Nick Day. Which of these individuals was most ethical (or least unethical)? Defend your answer.
-
One year ago the exchange rate between Polish zloty and the U.S. dollar was \(\mathrm{Z} 3.8000 / \mathrm{S}\). Since then the zloty has fallen \(14 \%\) against the dollar. Price levels in the...
-
On January 12, 2010, a 7.0 earthquake struck Haiti, leveling thousands of homes, cutting off electricity and telephone service, killing thousands, and leaving thousands more homeless and destitute in...
-
Pinot Noir wine is produced in the states of California (U.S.A.) and New South Wales (Australia). Equivalent bottles of Pinot Noir sell in the United States for US\$22 and in Australia for A\$34. a....
Study smarter with the SolutionInn App