Write the algorithm to find the longest non decreasing sub sequence from a user given sequence 'alpha'. (b). write the complexity of your designed algorithm..
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A: The solution for the above given question is given below:
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- Question 11: Write an algorithm to find the value of and from the following series: (s = 1 / (x + y) - 3/ (x + y) -5 / (x + y) ... n / (x + y) is a duty.i. Using the graph below, implement the Iterative Deepening Search algorithm considering the final state is six(6) and the initial state is zero(0) using the python programming language. N.b Kindly add comments to your code ii.. Descriibe in summary how the algorithm was implemented.6. Recursive Algorithms i. Give a recursive algorithm (not a formula!) for finding na where n is a positive integer and a is a real number. Prove that your algorithm is correct.
- a. List the different sorting algorithms that you learned and describe one of these algorithms.What is the time complexity for each of them (best case, worst case, and the average case).b. Choose the suitable sorting algorithm(s) for the following case:▪ The input elements are small.▪ The input elements are too large.subject theory of computer science Given the language, L = {abb, aabb, babb, aaabb, ababb, …………..}, which of the following is the correct the regular expression that can represent L. A.(a+b)*ab B.(aa)*(bb)*b C.(a*ba*) D.(a+b)*abb(2) Provide a sample algorithm using pseudocode which employs recursion in two variation, a variation that uses tail recursion and a variation that does not. Provide an analysis of the runtime impact of using tail recursion. Please use an algorithm that has not been considered in our text.
- You are requested to create an algorithm analyzer for a sorting program. You are tasked to meet the requirements below: a. Create a program that will sort a maximum of ten values. Values can either be numeric or string. b. Apply one sorting technique for your solution. You can select from the sorting techniques presented below. 1. Bubble 2. Merge c. Compute the time complexity of your solution using the Big Oh algorithm and determine the order of complexity.Given three sequences of length m, n, and p each, you are to design and analyze an algorithm to find the longest common subsequence (LCSS) for the three sequence. Is it possible to use dynamic programming to find the LCSS between the three sequences? If yes, provide recursive solution to the above problem.Using the recursive algorithm design technique, design an algorithm to determine if a string is a palindrome. A palindrome is a string that is read the same from both directions. As an example, ABA and AAAA are palindromes while ABC is not.
- 1. a.An algorithm can be specified in various ways. Identify and explain four ways in which an algorithm can be specified. b. (b). Two algorithms A, B sort the same problem. When you go through each algorithm and break them down into their primitive operations, each can be represented as follows:A = 2n7 + 100n4 + 26n + 50 B = 7n4 + 22n2 + nlogn + 200For very large values of n, which of the algorithms A or B will runin the shortest time to solve the problem and why? (c). Two Computer Science students, Priscilla and Julius, are discussing how to compare two algorithms for solving a given problem. Priscilla suggests that they should use the execution times of the algorithms as criterion; but Julius insists that they should use the number of statements the algorithms execute as criterion. (i). Discuss the reasons why both criteria they are considering are not good for comparing algorithms.(ii). Recommend an ideal solution/criterion that they should rather use for comparing algorithmsPlease calculate the cyclomatic complexity metric V(G) in three different ways based on the following program flow graph: 2 5 8 10 11 12 13 14Use a pseudo programming language to find the largest number (Maximum element) among a1, a2,........,an, support it with a programming code.