1. Briefly describe the concept of Transform and Conquer also name an algorithm that follows it. II. Briefly describe the concepts of Greedy algorithms. III. What would the time complexity of an algorithm be, where there is a sum operations happening on an array with a for loop?
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- 10. The most typical examples of Greedy Algorithm are Prim's Algorithm and Dijkstra's Algorithm.Please use the examples and diagrams to illustrate that the principles of Greedy operation are similar for both algorithms.Definition of an algorithm:____________ . There are three important aspects for each algorithm, which are design, ________ , and,___________ . Typical algorithmic design strategies include: , _______ , greedy approach, and backtracking. Give the definition of the asymptotic notation small w: f(n) = w(g(n)) _____________________ . The worst-case complexity of insertion sort algorithm is (theta)(_____); the worst-case complexity of merge sort algorithm is (theta)(_____) .What is the leading term for the following expressions and specify the lowest Big O Complexity for each algorithm?
- For the following algorithms can you explain how each works, their properties, and when should use them (such as when should use one over the others) a. Divide and Conquer b. Greedy c. DynamicSuppose the sorted singly linked list consist of 8 nodes. Write the algorithm to Insert a node in a sorted inked list and then print the element in the linked list. Explain the detailed steps with the help of example and show the state at every step. Write an algorithm for this operation and also find the complexity.Q10. Consider the following algorithm: g1 = 7 g2 = 6 For k starting at 3 and ending with 8: gk = (k-1)·gk-1 + gk-2 What is the last term, g8, of the recursive sequence generated as a result of executing this algorithm?
- Design a divide-and-conquer algorithm for the problem of finding the longest sequence of consecutive negative numbers in a list of negative and positive numbers. Find the time complexity of your algorithm (type recurrence relation first). Example input: [2, 5, 0, -3, -5, 0, -1, -2, -1, 2]; Output: [-1, -2, -1] assum : In this example there are two consecutive sequences of negative numbers. [-3, -5] and [-1, -2, -1]. Since the second one is longer, that is the output.Matric Multiplication is one of the programming problems that can be solved by using brute-force, greedy, divide-and conquer, and dynamic programming approaches. Briefly explain which strategy would you select in order to solve the given problem, and the reason behind your choice?Design a reduction algorithm that solves the below problem; Describe your algorithm with clear pseudocode, and mention the time and space efficiency class of your algorithm in terms of the size of the input Also, identify the pre/post-processing steps Problem: input: a list L of comparable objectsoutput: an element of L that appears more than once in L, or None if no such element exists
- 1a) Briefly discuss the significant difference between a priority queue and an ordinary queue. Using an everyday example, explain how a priority queue is used an underlying data structure. b) Compare and contrast the linear search and binary search algorithms by searching for the numbers 45 and 84 in the following list: 3 8 12 34 54 84 91 110 120Consider the following algorthim and answer: a. What does this algorithm compute? b. What is its basic operation? c. How many times is the basic operation executed" d. What is the efficiency class of this algorithm? e. Suggest an improvement, or a better algorithm altogether, and in-dicate its efficiency class. If you cannot do it, try to prove that, in fact, it cannot be done.Question 2 Consider the following algorithm: g1 = 7 g2 = 6 for k in range(3,8): gk = (k-1)·gk-1 + gk-2 What is the last term, g8, of the recursive sequence generated as a result of executing this algorithm? Your Answer: Question 2 options: Answer