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Problem
1. Write a CREW PRAM algorithm for adding all n numbers in a list in Θ(lg n) time.
2. Write a CREW PRAM algorithm that uses n 2 processors to multiply two n × n matrices. Your algorithm should perform better than the standard Θ(n 3)-time serial algorithm.
3. Write a PRAM algorithm for Quicksort using n processors to sort a list of n elements.
Create a Java program that takes as input an infix arithmetic expression then transforms to a postfix expression and based on binary tree, it evaluates that expression.
What is measured by a worst-case analysis? What is measured by an average-case analysis? When choosing between two algorithms, under what conditions can the efficiencies of the algorithms be ignored
Give an O(log n) algorithm to find an integer from [1, m] that is not present in A and find the smallest such integer. Explain why your algorithm is correct.
Algoithms you select so you can describe and assess them. Write challenges did you face in process? How did you go about resolving them?
Design a greedy algorithm to solve the activity selection problem. Suppose there are a set of activities: a1, a2, ... an that wish to use a lecture hall. Each activity ai has a start time siand a finish time fi.
Irving Bonner, an independent computer programming consultant, has contracted to complete eight computer programming jobs. Some jobs must be completed.
Write functions to implement the split, merge, and merge sort algorithms for files.
Design an O(V+E) time algorithm that computes the smallest number of batches required to complete all tasks. A task can be assigned to a batch i if and only if all tasks that are its prerequisites have already been assigned to batches 1 to (i-1).
State two different self-reductions for the SUM problem and give recursive algorithms based on your divide-and-conquer self-reductions to solve the SUM problem.
question 1a for n ? 0 what is the time complexity of the method q1 n. show the details of your calculation of oq1 n
Define the type of graph known as a mesh of trees. Explain how this graph is used in applications to very large system integration and parallel computing.
consists of (4) sections:- a written project plan, revised business requirements document, project plan PowerPoint presentation, and a finalized project plan.
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