Pergunta

1. Write "true","I the statement.is correct and "false " if it is not. (1pt each) 1. In divide and conquer algorithms, the size of each sub problem is always the same. 2. The binary search algorithm is an example of a divide and conquers technique. 3. Greedy algorithms guarantee an optimal solution for all problems. square 4. The Knapsack Problem can be solved optimally using a greedy approach in all case 5. The branch and bound method is often less efficient than greedy algorithms for combinatorial optimization problems. II. Choose the best answer from the given alternatives.(2pt's each) 1. Which of the following sorting algorithm is of divide and conquer type? a) Bubble sort b) Insertion sort c) Quick sort d) All of the mentioned square 2. What do you call the selected keys in the quick sort method? a) Outer key b)Partition key c)Pivot key d)Inner key square 3. What is the first step in the divide and conquer strategy? a) Combine solutions b) Solve sub -problems square c) Divide the problem into smaller sub.problems d)Analyze time complexity What is the time complexity of the Merge Sort algorithm? a) O(n) b) O(nlogn) C) O(n^2) d) O(log n) In the context of the Minimum Spanning Tree problem, which algorithm utilizes strategy? a) Bellman-Ford Algorithm b) Prim's Algorithm c) Floyd.Warshall Algorithm d) Knapsack Algorithm Fill the blank space with the correct answer(1pt each) 1. __ is a connected acclic sub graph or G that includes vertices 2. __ is a node that has been generated but whose childr not yet been generated. 3. __ is a general optimization technique that applies where t method &dynamic programming fail. IV. Answer the following questions accordingly . (3pt's each) y M 14 at is divide and conquer strategy?Describe at least two real-world applications of the di conquer strategy.
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NaraProfissional · Tutor por 6 anos
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1. <br />1. False<br />2. True<br />3. False<br />4. False<br />5. False<br /><br />II.<br />1. c) Quick sort<br />2. c) Pivot key<br />3. c) Divide the problem into smaller sub-problems<br />4. b) $O(nlogn)$<br />5. b) Prim's Algorithm<br /><br />Fill in the blank:<br />1. Tree<br />2. Internal node<br />3. Branch and bound<br /><br />IV.<br />1. The divide and conquer strategy is a problem-solving approach that involves dividing a complex problem into smaller, more manageable sub-problems, solving each sub-problem, and then combining the solutions to solve the original problem. Two real-world applications of the divide and conquer strategy are:<br /> - Sorting algorithms, such as quicksort and mergesort, which divide the data into smaller subsets, sort each subset, and then merge the sorted subsets to obtain the final sorted result.<br /> - The fast Fourier transform (FFT) algorithm, which is used to efficiently compute the discrete Fourier transform of a sequence. The FFT algorithm divides the input sequence into smaller segments, processes each segment, and then combines the processed segments to obtain the final Fourier transform.
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