Consider the element distinctness problem: Given an array A storing n inte- gers, determine whether all...
Fantastic news! We've Found the answer you've been seeking!
Question:
Transcribed Image Text:
Consider the element distinctness problem: Given an array A storing n inte- gers, determine whether all the elements in the array are distinct or not. That is, if all the elements in A are unique, return true; return false if there is at least one duplicate element in A. Below four different problem instances are provided; elements bolded are duplicate elements. 0 1 0 4 1 2 2 3 1 1 3 1 false 3 2 2 2 false 4 5 6 2 3 4 4 5 6 8 0 1 10 9 0 1 1 2 2 8 2 8 true 3 4 6 4 true 3 7 5 6 7 3 2 1 Design an algorithm that solves the element distinctness problem. a) [4 marks] Write pseudocode for the algorithm b) Prove your algorithm is correct, do this by proving the two following parts: i) [1 marks] Show that the algorithm terminates in finite time. ii) [2 marks] Show that the algorithm always produces correct output. c) [1 mark] Explain what the worst case for the algorithm is. d) [3 marks] Perform worst-case analysis to compute the time complexity of the algorithm. You must give the order of your complexity function using Big-Oh notation, and you must explain how you computed the time complexity. Consider the element distinctness problem: Given an array A storing n inte- gers, determine whether all the elements in the array are distinct or not. That is, if all the elements in A are unique, return true; return false if there is at least one duplicate element in A. Below four different problem instances are provided; elements bolded are duplicate elements. 0 1 0 4 1 2 2 3 1 1 3 1 false 3 2 2 2 false 4 5 6 2 3 4 4 5 6 8 0 1 10 9 0 1 1 2 2 8 2 8 true 3 4 6 4 true 3 7 5 6 7 3 2 1 Design an algorithm that solves the element distinctness problem. a) [4 marks] Write pseudocode for the algorithm b) Prove your algorithm is correct, do this by proving the two following parts: i) [1 marks] Show that the algorithm terminates in finite time. ii) [2 marks] Show that the algorithm always produces correct output. c) [1 mark] Explain what the worst case for the algorithm is. d) [3 marks] Perform worst-case analysis to compute the time complexity of the algorithm. You must give the order of your complexity function using Big-Oh notation, and you must explain how you computed the time complexity.
Expert Answer:
Related Book For
Data Structures And Algorithms In C++
ISBN: 9780470383278
2nd Edition
Authors: Michael T. Goodrich, Roberto Tamassia, David M. Mount
Posted Date:
Students also viewed these computer network questions
-
You might not have access to everything but can you help me code this. Im using MSP430F5529 to code this using Energia. Thanks. Slowly vary the input offset and/or Vpp to test your sketch. Make sure...
-
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...
-
can someone solve this Modern workstations typically have memory systems that incorporate two or three levels of caching. Explain why they are designed like this. [4 marks] In order to investigate...
-
Consider the following graph. 2 7 6 C 10 10 H 11 E 12 15 14 (a). Find a minimum spanning tree of the graph using Kruskal's algorithm. List the edges in the order they are put into the tree. (b)....
-
General Hospital, a not for profit acute care facility, has the following cost structure for its inpatient services: FIxed costs $10,0000,00 Variable cost per inpatient day $200 Charge (revenue) per...
-
Use the data in Problem and Case 2.12. In problem Required: (a) Prepare a calculation to prove the net loss on the sale of the truck. (b) Prepare the cash flow from investing activities section of...
-
What types of information are needed before management should decide to drop a segment?
-
Assume that, because of a new law recently passed, the types of significant transactions in which a partnership engages are no longer lawful. Two of the five partners wish to wind up and terminate...
-
Plot the point (-0.75, 1.25) in the rectangular coordinate system. Plot (0.75, 1.25).
-
You will file 2022 Federal income tax return (treat all info as for year 2022not year 2021). Ignore the last paragraph of the tax return problem info (it does not apply to 2022, the book was still on...
-
Prepare financial ratios in evaluating Islamic bank's performance by using Profitability Ratio only. Company No. 719057-X STATEMENTS OF FINANCIAL POSITION AS AT 31 DECEMBER 2019 ASSETS Group Bank...
-
A traveling sinusoidal wave propagates in the +x direction on a string. You make the following observations about the wave: The maximum transverse displacement of the string from its equilibrium...
-
Application Exercise 1, p.127, Please use apa citation with citations Using MEDLINE http://www.ncbi.nlm.nih.gov/pubmed/Links to an external site. Find an article that addresses the content coverage...
-
What are the two required elements of inclusion? What is the difference between task conflict and relational conflict? Which one is always bad? Psychological safety is one of the strongest predictors...
-
The Pine Shop shows the following data relating to an inventory item: Inventory, January 1 Quantity 125 Price 52 Purchase, January 9 325 53 Sale, January 10 53 Purchase, January 19 95 60 Sale,...
-
For this Final Board Presentation, you will be using what you have learned in this program to create a presentation on your Groups performance in the BSG SIM to present to the Board of Directors....
-
A partial adjusted trial balance of Pharoah Company at January 31, 2022, shows the following. PHAROAH COMPANY Adjusted Trial Balance January 31, 2022 Debit Credit Supplies $900 Prepaid Insurance...
-
Information graphics, also called infographics, are wildly popular, especially in online environments. Why do you think infographics continue to receive so much attention? How could infographics be...
-
Write a program that can perform encryption and decryption using an arbitrary substitution cipher. In this case, the encryption array is a random shuffling of the letters in the alphabet. Your...
-
Write a C++ function print Array(A, m, n) that prints an m n two dimensional array A of integers, declared to be int** A, to the standard output. Each of the m rows should appear on a separate line.
-
Describe how to perform an operation eraseAll(k), which removes all the entries whose keys equal k in an ordered dictionary implemented with a binary search tree T, and show that this method runs in...
-
Distinguish among the three types of responsibility
-
Using the information in E7-1, assume that in July 2002, Voss Company incurs the following manufacturing overhead costs. Instructions (a) Prepare a flexible budget performance report, assuming that...
-
Samano Company uses flexible budgets to control its selling expenses. Monthly sales are expected to range from \($170,000\) to \($200,000\). Variable costs and their percentage relationship to sales...
Study smarter with the SolutionInn App