Question

# (2 pts) (a) What “better-known”/simpler complexity class is equivalent to O(N log N2); briefly explain why....

(2 pts) (a) What “better-known”/simpler complexity class is equivalent to O(N log N2); briefly explain why. (b) Explain under what conditions sorted(set(l)) runs faster than set(sorted(l)) for a list l (they both produce the same answer); state the worst-case complexity class of each.

(a)

(b)

(a) The given complexity class is . We can compute that and . Thus the complexity class is equivalent to the complexity class .

(b) If the same elements appear more than once in l, then set(l) will eliminate the repeatations and then the number of elements will this get reduced. Running the sorted function will now take less time since the number of elements have decreased. On the other hand if we do the sorted function first, then it would operate on all the elements including the repetitions. Then when the set function is applied the repetitions will get deleted. This will take much longer time.

The worst case time complexity for both the classes is   since the sorting takes time in the worst case and the set formation takes time in the worst case.

#### Earn Coins

Coins can be redeemed for fabulous gifts.

Similar Homework Help Questions
• ### 1. State and explain the deﬁnition of big-O. 2. Explain why we use big-O to compare...

1. State and explain the deﬁnition of big-O. 2. Explain why we use big-O to compare algorithms. 3. Explain why binary search runs in O(log n) time. 4. Under what conditions is it possible to sort a list in less than O(nlog n) time? 5. List and explain the worst-case and average-case running times for each Vector method below: (a) insert(iterator here, Object item) (b) insertAtHead (c) insertAtTail (aka push back) (d) get(iterator here) (e) get(index i) (f) remove(iterator here)...

• ### True or false for each, and explain why (4 pts) The height of a binary tree is bounded by O(n2), where n is the size...

True or false for each, and explain why (4 pts) The height of a binary tree is bounded by O(n2), where n is the size of the C. tree. d. (4 pts) dynamic array and O(1) time if L is a linked list. Given a list L of n > 2 elements, the following code takes O(n) time if L is a iterator i = L. iterator () i.next); i.next); i.remove ); binary tree T that has size n and...

• ### JAVA 3 PLEASE ANSWER AS MANY QUESTIONS AS POSSIBLE! ONLY 2 QUESTIONS LEFT THIS MONTH!!! Question...

JAVA 3 PLEASE ANSWER AS MANY QUESTIONS AS POSSIBLE! ONLY 2 QUESTIONS LEFT THIS MONTH!!! Question 12 pts Which is a valid constructor for Thread? Thread ( Runnable r, int priority ); Thread ( Runnable r, String name ); Thread ( int priority ); Thread ( Runnable r, ThreadGroup g ); Flag this Question Question 22 pts What method in the Thread class is responsible for pausing a thread for a specific amount of milliseconds? pause(). sleep(). hang(). kill(). Flag...

• ### What is the role of polymorphism? Question options: Polymorphism allows a programmer to manipulate objects that...

What is the role of polymorphism? Question options: Polymorphism allows a programmer to manipulate objects that share a set of tasks, even though the tasks are executed in different ways. Polymorphism allows a programmer to use a subclass object in place of a superclass object. Polymorphism allows a subclass to override a superclass method by providing a completely new implementation. Polymorphism allows a subclass to extend a superclass method by performing the superclass task plus some additional work. Assume that...

• ### 1. According to the paper, what does lactate dehydrogenase (LDH) do and what does it allow...

1. According to the paper, what does lactate dehydrogenase (LDH) do and what does it allow to happen within the myofiber? (5 points) 2. According to the paper, what is the major disadvantage of relying on glycolysis during high-intensity exercise? (5 points) 3. Using Figure 1 in the paper, briefly describe the different sources of ATP production at 50% versus 90% AND explain whether you believe this depiction of ATP production applies to a Type IIX myofiber in a human....

Please read the article and answer about questions. You and the Law Business and law are inseparable. For B-Money, the two predictably merged when he was negotiat- ing a deal for his tracks. At other times, the merger is unpredictable, like when your business faces an unexpected auto accident, product recall, or government regulation change. In either type of situation, when business owners know the law, they can better protect themselves and sometimes even avoid the problems completely. This chapter...

• ### In your judgement, and given only the facts described in this case, should the management of...

In your judgement, and given only the facts described in this case, should the management of Massey energy Company be held morally responsible for the deaths of the 29 miners? Explain in detail. Suppose that nothing more is learned about the explosion other than what is described in this case. Do you think Don Blankership should be held morally responsible for the deaths of the 29 miners? Explain in detail. Given only the facts described in this case, should the...

• ### what discuss can you make about medicalization and chronic disease and illness? Adult Lealth Nursing Ethics...

what discuss can you make about medicalization and chronic disease and illness? Adult Lealth Nursing Ethics mie B. Butts OBJECTIVES After reading this chapter, the reader should be able to do the following: 1. Explore the concept of medicalization as it relates to the societal shift away from physician predominance of the 1970s. 2. Differentiate among the following terms: compliance, noncompliance, adherence, nonadherence, and concordance. 3. Examine cultural views with regard to self-determination, decision making, and American healthcare professionals' values...

• ### 10. Write a one-page summary of the attached paper? INTRODUCTION Many problems can develop in activated...

10. Write a one-page summary of the attached paper? INTRODUCTION Many problems can develop in activated sludge operation that adversely affect effluent quality with origins in the engineering, hydraulic and microbiological components of the process. The real "heart" of the activated sludge system is the development and maintenance of a mixed microbial culture (activated sludge) that treats wastewater and which can be managed. One definition of a wastewater treatment plant operator is a "bug farmer", one who controls the aeration...

• ### How can we assess whether a project is a success or a failure? This case presents...

How can we assess whether a project is a success or a failure? This case presents two phases of a large business transformation project involving the implementation of an ERP system with the aim of creating an integrated company. The case illustrates some of the challenges associated with integration. It also presents the obstacles facing companies that undertake projects involving large information technology projects. Bombardier and Its Environment Joseph-Armand Bombardier was 15 years old when he built his first snowmobile...