Suppose three algorithms A, B, and C, can be implemented to perform a task. The
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- java A time series is represented a list of time/value pairs Write a function that takes two time series and outputs a new series of the summation of themWhat are the big O for these three algorithms?n-1 Geometric (n) = i=1 i=1 1 1 * n-1 П %3D Harmonic (n) = i=1 n Let's look at examples. If we use n = 4, the geometric progression would be 1 * 2 * 3 * 4 = 24, and the harmonic 1.1.1 1 progression would be 1* -= 0.04166. 2 3 4 24 Task #1 Tracing Recursive Methods 1. Copy the file Recursion.java (see Code Listing 16.1) from the Student Files or as directed by your instructor. 2. Run the program to confirm that the generated answer is correct. Modify the factorial method in the following ways: a. Add these lines above the first if statement: int temp; System.out.println ("Method call -- " + "calculating " "Factorial of: " + n); + Copyright © 2019 Pearson Education, Inc., Hoboken NJ b. Remove this line in the recursive section at the end of the method: return (factorial (n - 1) * n); c. Add these lines in the recursive section: temp = factorial (n - 1); System.out.println ("Factorial of: " (n - 1) + " is " temp); return (temp * n); 3. Rerun the program and note how the recursive calls…
- The Eight Queen Problem is to find a solution to place a queen in each row on a chessboard such that no queens can attack each other. write a program to solve the eight queen problem using the recursion and display the result. Program in javaPart a. Make a diagram of memory for point one when n == 2. int expo(int x, int n) { int r, t; if (n == 0) r = 1; else if (n == 1) r = x; else { t = expo (x, n / 2); r = t * t; if (n % 2 == 1) r *= t: } //-- -point one return r; int main(void) { int i; i = expo(4, 5); return 0; Part b. Using divide-and-conquer recursion to solve a problem similar to Prob- lem 3 is somewaiät tricky but a good test of programming skill. Write a function definition that provides a divide-and-conquer implementation of the following interface: double max_adj_sum(const double *a, int lo, int hi); // REQUIRES: hi - lo >= 2. // PROMISES: Return value is the largest sum that can be made by adding // Elements a[lo] ... a[hi -1] exist. two elements among a[lo] ... a[hi-1] with adjacent inderes. Hint: It makes sense to have two base cases, not just one.Write a JAVA program to simulate page replacement algorithmsa) Optimal Write a JAVA program to simulate producer-consumer problem using semaphores. Write a JAVA program to simulate the concept of Dining-Philosophers problem.
- There are various sorting algorithms available to sort data of different sizes. Three of these algorithms are Bubble sort, Shell sort, and Quicksort. In Python, write a program to generate random integer numbers of multiple sizes; 10000, 30000, 40000, 50000, and 70000, and find out which of these sorting algorithms perform the fastest sorting technique. Provide data to prove and support your findings or results by plotting a graph showing the time each takes to sort data of various sizes. It should be written in a single program. Write the code in python and also show the graphical result. Also do the proper identation of the code.1. What is the difference between an iterative algorithm and a recursive algorithm? 2. What is a recursive algorithm’s base case? What is the recursive case? 3. What is the base case of each of the recursive methods listed in Algorithm Workbench 3, 4, and 5? 4. What type of recursive method do you think would be more difficult to debug: one that uses direct recursion or one that uses indirect recursion? Why? 5. Which repetition approach is less efficient: a loop or a recursive method? Why? 6. When recursion is used to solve a problem, why must the recursive method call itself to solve a smaller version of the original problem? 7. How is a problem usually reduced with a recursive method?The same professor writes a program to analyze the chat logs from the various lectures as a partial measure of class participation. Each chat log consists of multiple lines, each of form TIME, NAME, COMMENT, in the order in which they were posted to the chat . The algorithm then sorts all that data - across all the chat logs - in order of student names, and scores each set using a metric based on the number of contributions and their length. [a] What are the various input sizes to consider when analyzing the algorithmic approaches? (One is the number of students in the class, but that is not the only factor.) [b] Which sorting algorithm do you think is best suited for the sorting portion of this algorithm and why? [c] What is the time complexity of the sorting algorithm chosen in step [b] as a function of the various input sizes identified in step [a]? [d] What is the overall time complexity of the chat analysis program as described above?
- Write a recursive function to implement the recursive algorithm (multiplying two positive integers using repeated addition). Also, write a program to test your function.Design and implement a recursive program(in java) to determine and print the Nth line of Pascal's triangle, as shown below. Each interior value is the sum of the two values above it. Hint: Use an array to store the values on each line.5. Given # > 3 points P₁ = (x₁, y₁), …….‚ P₂ = (x₂‹ Yn) in the coordinate plane, design an algorithm to check whether all the points lie within a triangle with its vertices at three of the points given. (You can either design an algorithm from scratch or reduce the problem to another one with a known algorithm.)