we looked at the Quicksort algorithm. Consider the worst-case scenario for quick- sort in which the...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
we looked at the Quicksort algorithm. Consider the worst-case scenario for quick- sort in which the worst possible pivot is chosen (the smallest or largest value in the array). Answer the following questions: What is the probability of choosing one of the two worst pivots out of n items in the list? Extend your formula. What is the probability of choosing the one of the worst possible pivots for EVERY recursive call until reaching the base case. In other words, what is the probability quicksort fully sorts the list while choosing the worst pivot choice every time it attempts to do so? What is the limit of your formula above as the size of the list grows. Is the chance of getting Quicksort's worst-case improving, staying constant, or converging on some other value. Present one sentence on what this means. What are the chances that we actually get Quicksort's worst-case behavior? we looked at the Quicksort algorithm. Consider the worst-case scenario for quick- sort in which the worst possible pivot is chosen (the smallest or largest value in the array). Answer the following questions: What is the probability of choosing one of the two worst pivots out of n items in the list? Extend your formula. What is the probability of choosing the one of the worst possible pivots for EVERY recursive call until reaching the base case. In other words, what is the probability quicksort fully sorts the list while choosing the worst pivot choice every time it attempts to do so? What is the limit of your formula above as the size of the list grows. Is the chance of getting Quicksort's worst-case improving, staying constant, or converging on some other value. Present one sentence on what this means. What are the chances that we actually get Quicksort's worst-case behavior?
Expert Answer:
Answer rating: 100% (QA)
lets go through the calculations step by step 1 Probability of choosing one of the two worst pivots ... View the full answer
Related Book For
Business Statistics
ISBN: 9780321925831
3rd Edition
Authors: Norean Sharpe, Richard Veaux, Paul Velleman
Posted Date:
Students also viewed these programming questions
-
A manufacturing company has been selected to assemble a small but important component that will be used during the construction of numerous infrastructure projects. The company anticipates the need...
-
Planning is one of the most important management functions in any business. A front office managers first step in planning should involve determine the departments goals. Planning also includes...
-
Design a Java class that represents a cache with a fixed size. It should support operations like add, retrieve, and remove, and it should evict the least recently used item when it reaches capacity.
-
Austin and Anya Gould are a middle-aged couple with two childrenRusty, age 13, and Sam, age 11whom they adopted this year. They also bought a new home in the area to give the children a yard in which...
-
When 2-methylpropane is monochlorinated in the presence of light at room temperature, 36% of the product is 2-chloro-2-methylpropane and 64% is 1-chloro-2-methylpropane. From these data, calculate...
-
If (sin x - cos x) 2 = 0.83, what is the value of (sin x + cos x) 2 ?
-
Derive the following expression for determining \(\mathrm{K}_{\mathrm{y}} \mathrm{a}\) from the measurement of \(\mathrm{E}_{\mathrm{MV}}\) in a distillation column if the flow pattern is plug flow....
-
The Production Department of Hruska Corporation has submitted the following forecast of unit to be produced by quarter for the upcoming fiscal year: Each unit requires 0.2 direct labor-hours and...
-
The stockholders' equity section of Pronghorn Corporation's balance sheet at December 31 is presented here. Pronghorn Corporation Balance Sheet (partial) Stockholders' equity Paid-in capital...
-
The paralegal is assigned the task of preparing an office legal memorandum. The memorandum is due in 10 days, and there is a 5-page limit. The facts and law are as follows: Facts: Mary was Tom's...
-
Given: P(U)= 0.2, P(V) = 0.11, P(W) = 0.09, P(X) = 0.3, P(Y) = 0.09, P(Z) = 0.21 a. Obtain the Huffman Code b. Compute for H(x), Lavg, n and R of the Huffman Code c. Obtain the Fano Code d. Compute...
-
The propellers of a small airplane produce a forward thrust of 6.2 x 104 N on the plane which has a mass of 2.8 x 104 kg. The plane is in level flight. a. Draw a labeled force diagram for the...
-
The Sheriff's Department of Polk County Florida, run by Sheriff Grady Judd, has announced the arrest of three deputies for their involvement in evidence tampering. This egregious act did outrage the...
-
Q6 Using the Consumer Transportation Survey data below, develop 95% and 99% prediction intervals as described in parts a through d. a What is the upper limit for a 95% prediction interval for the...
-
9. You Invest $7500/year into a 401K earning 6 %/year Interest. a) How much is your 401K worth after 40 years? b) You are getting close to retiring and you want to collect $40,000/year for 30 years....
-
5. Mr. Brown, who is risk-averse and prefers to have a higher return for a given level of risk, currently invests $ 1 million on financial market. His portfolio includes three assets: Stock Google,...
-
When accident reports were released, people would read, reflect, and relate to their own experience. Many unfortunate individuals paid the ultimate price which enabled the rest of the aviation...
-
Use this circle graph to answer following Exercises. 1. What fraction of areas maintained by the National Park Service are designated as National Recreation Areas? 2. What fraction of areas...
-
A national survey indicated that 30% of adults conduct their banking online. It also found that 40% are under the age of 50, and that 25% are under the age of 50 and conduct their banking online. a)...
-
For the probabilities of Exercise 7 and the cost matrix of Exercise 3, using the expected values you found in Exercise 7, compute the standard deviation of values associated with each action and the...
-
Suppose that the appliance shop in Exercise 23 plans an 8-hour day. a) Find the mean and standard deviation of the number of repair calls they should expect in a day. b) What assumption did you make...
-
Job Cost Journal Entries Prior to the beginning of 2019, Stapleton Company estimated that it would incur \($153,000\) of manufacturing overhead cost during 2019, using 17,000 direct labor hours to...
-
Summarized data for the first month's operations of Slater Foundry during 2019 are presented below. A job order costing system is used. 1. Materials purchased on account, \($88,000\). 2. Amounts of...
-
Following are certain operating data for Redwood Manufacturing Company for January 2019: Total sales were \($2,000,000\), on which the company earned a 40% gross profit. Redwood uses a predetermined...
Study smarter with the SolutionInn App