For each algorithm, always explain how and why they work. If not by a proof, at...

60.1K

Verified Solution

Question

Programming

For each algorithm, always explain how and why theywork. If not by a proof, at least by a clear explanation.ALWAYS, analyze the running time complexity of youralgorithms. Do not write a program. Write pseudo codes or explainin words
Q2: Give a data structure that implements a Min-Heap and thecommand Max(S) that returns the maximum in the heap. Try and makethe last operation as fast as possible.
Q3: (a)Show how to implement a Queue by a Priority Queue. Whatis the run time per operation?
(b) Show how to implement a Stack using Priority Queue. What isthe run time per operation?

Answer & Explanation Solved by verified expert

3.7 Ratings (469 Votes)

Solution 1 There are many ways of implementing a heap tree in the memory and one such way is to use the linked lists to perform the operations over the binary heap but the complexity of one such method is very high as you would have to maintain a lot of pointers in the memory to not just traverse the elements of the heap but to implement the algorithms as well On the other hand arrays can also be used for the implementation of the same and the complexity in that is much less as compared to that using the linked lists this is because of the fact that the space complexity of this solution is much less as compared to the space complexity of the solution using the linked lists So if you want to get the minimum element from the minheap then its always going to cost you O1 See Answer

Get Answers to Unlimited Questions

Join us to gain access to millions of questions and expert answers. Enjoy exclusive benefits tailored just for you!

Membership Benefits:

Unlimited Question Access with detailed Answers
Zin AI - 3 Million Words
10 Dall-E 3 Images
20 Plot Generations
Conversation with Dialogue Memory
No Ads, Ever!
Access to Our Best AI Platform: Flex AI - Your personal assistant for all your inquiries!

Become a Member