Write down a summation version of the run-time of each of thefollowing two algorithms and then figure out and prove the asymptotic complexity(-set) of that run-time function.(a) FUNCTION Wa(n = N)x < 0i 1WHILE i < n² DOx + +i ← 5iRETURN(x)(b) FUNCTION W₁(n = N)x < 0FOR1 TO ² DOj← 3WHILE j ≤ i DOx + +j← 2jRETURN(x)

write down a summation version of the runtime of each of the following algorithms and then figure…

Answered: (a) FUNCTION Wa(n = N) x i 0 1 WHILE…

Engineering

Computer Science

(a) FUNCTION Wa(n = N) x i 0 1 WHILE in² DO

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

See similar textbooks

Related questions

Q: What are the features of confusion and difussion in connection to cryptographic procedures, and how…

A: Confusion and diffusion are two characteristics of how a safe cypher functions in the field of…

Q: Some why people may often switch off their computers or mobile devices. Differentiate sleeping from…

A: Introduction Sleep mode and hibernation are two power-saving options that are available on many…

Q: 11. Given an array of integers temperatures represents the daily temperatures, return an array…

A: Code:- def dailyTemperatures(temperatures): n = len(temperatures) ans = [0] * n stack =…

Q: What precisely does it entail for cloud security when it comes to the shared responsibility paradigm…

A: GIVEN: What do identity and access management (IAM) and the shared responsibility model imply for…

Q: Which three cryptographic procedures are the most fundamental?

A: Private information is safeguarded using cryptography to prevent unauthorised access by anybody…

Q: What's different about computer science? How come?

A: The distinctions between computer science and other disciplines are addressed below. Computer…

Q: Q 5. In the context of Software testing, what is Software Validation? List and explain the…

A: Validation is the process of checking whether the software product is up to the mark or in other…

Q: Cloud advantages Cloud computing's risks? Cloud computing's pros against cons? Belief? Imagine:

A: Please note that the first three questions have been answered in full in accordance with corporate…

Q: Unlike the OSI model, most computer systems have fewer layers. Why not decrease layers? What are the…

A: Reducing layers in a computer system can reduce flexibility,make troubleshooting harder, increase…

Q: Please name two major developments in computer science.

A: There have been many major developments in computer science over the years, but here are two…

Q: Definitions of the Words That Will Be Used 1. The Operating System 2. The Computer's Physical…

A: One. Software explains the data that instructs a computer what to perform. All of the computer…

Q: What are some of the benefits of peer-to-peer networking, as well as some of the drawbacks?

A: The installation of a network operating system is optional for the operation of a peer-to-peer…

Q: Unlike the OSI model, most computer systems have fewer layers. Why not decrease layers? What are the…

A: Introduction: The TCP/IP protocols offer the foundational principles upon which the Internet was…

Q: 6. Give a context-free grammar generating the following language (Σ = {a, b, #}): {w#x | the reverse…

A: A context-free grammar (CFG) which refers to the one it is a set of recursive production rules used…

Q: Introduce the five agile software development ideas.

A: What is "agile" when it comes to software development: Requirements and solutions are iterated in…

Q: Prove that if 9 divides n with remainder 4, 9 divides 3n²+2n+1 with remainder 3

A: To prove that if 9 divides n with remainder 4, 9 divides 3n^2 + 2n + 1 with remainder 3, we can use…

Q: Provide an overview of agile approach using yearly polls and surveys funded by agile solution…

A: Agile methodology The Agile methodology promotes continuous testing and iteration throughout a…

Q: So, what exactly is incremental development, and how does it function

A: Introduction: Incremental development is an approach to software development where a product or…

Q: Is there a Linux package management system you've used and liked? Please explain why you think it is…

A: yes, I have used Linux Advanced Package Tool (APT). Debian, Ubuntu, and other Debian-based…

Q: Assess the obstacles of developing the framework, then examine the issues and roadblocks of each…

A: Introduction: Cloud computing is a model for delivering on-demand access to shared computing…

Q: Which of the following levels of this programming language is considered the most sophisticated? So,…

A: Introduction: Because different programming languages have varied strengths and capabilities,…

Q: Draw an NFA that accepts words from the alphabet {0,1} where the last character is not repeated…

A: Given Alphabet for the NFA: {0, 1} We need to draw an NFA that accepts words from the alphabet {0,1}…

Q: Several credit card firms now provide one-time-use credit card numbers to secure electronic…

A: Please find the detailed answer in the following steps.

Q: Any Boyer-Moore string search algorithm examples? Provide strategy implementation directions.

A: Your answer is given below as you required.

Q: Which informational resources may be tapped into to identify emerging technologies?

A: sources of information, you can keep abreast of the latest technologies and innovations and learn…

Q: If you were in charge of the iTunes store's database, how would you organize it? How would you…

A: Organizing a database for the iTunes store requires careful consideration of various factors, such…

Q: Agile system development includes pros and cons that must be considered.

A: Another incremental model is the agile development model. Software is created in quick, incremental…

Q: gram that reads a file containing a list of songs and prints the songs to the screen one at a time.…

A: The c++ code is an given below :

Q: Discuss why automated transactions using credit card numbers may be hazardous.

A: Introduction: Credit card information could be kept as evidence in certain situations, such as…

Q: What is the concept of cryptography in computer science, and how is it used to ensure the…

A: Dear Student, The answer to your question is given below with detailed explanation -

Q: What distinguishes cloud-hosted IT security solutions from on-premises data center solutions

A: Introduction: When you often use cloud security, you don't need to spend money on specific gear or…

Q: How may regions and availability zones be utilized to increase the resilience, availability, and…

A: In a cloud environment, regions and availability zones (AZs) are critical components that can…

Q: Assess the pros and cons of agile system development and deployment.

A: The advantages and disadvantages of using agile methods to system development are discussed in this…

Q: Talk about the different services that operating systems offer, as well as the three different…

A: operating system: The operating system is only an interface that offers functionality to the user…

Q: Provide an example of how primary keys may be utilized to prevent key ripple effects from occurring…

A: Primary keys are used to uniquely identify each record in a database table. When a primary key is…

Q: Could you please help me write a penetration test plan for a fictitious database? It needs to be…

A: Your answer is given below as you required.

Q: Define a real-time operating system using examples. Describe how it differs. Real-time operating…

A: A real-time operating system (RTOS) is an operating system that is designed to provide deterministic…

Q: Compute the following: (80 +135) (mod 8) = (80-135) (mod 8) =

A: First, we need to calculate the sum of 80 and 135: 80 + 135 = 215 Then we need to find the remainder…

Q: Virtual environments are the most efficient way to install operating systems on a single machine.…

A: Introduction: Virtualization is a technique that simulates a real installation or system using…

Q: One of the biggest issues with computer security is that it is usually an afterthought rather than…

A: The use of information technology (IT) in high-risk contexts should be reduced because this is the…

Q: What's different about computer science? How come

A: Computer science is a bit different from other branches of science in many aspects. Let's discuss…

Q: In C++ What does the following code print to standard output?

A: Done using C++.

Q: What modeling approach is expected for each model and why?

A: What is the expected modelling method, and why should anybody adopt that particular strategy for any…

Q: THE FUTURE OF WIRELESS NETWORKIN Explain how wireless communication technologies outperform wired…

A: Introduction Wireless Network: A wireless network is a kind of computer network that dispenses with…

Q: What is the absolute bare minimum number of keys required to utilize public key cryptography?

A: Given: If the information was encrypted using public keys, then you will need a pair of keys in…

Q: How does science and technology affect contemporary life and vice versa? • How can we safeguard…

A: Technology has an effect on everything we do in our careers and in our daily lives. When technology…

Q: How hard was it to develop a firm-wide network? Explain the problems and potential solutions.

A: Developing a firm-wide network can be a complex and challenging task. Here are some of the problems…

Q: Description: In a hypothetical class, students take two midterms and an optional final. If a student…

A: Here's the code for a function that takes the midterm1 score, midterm2 score, and comprehensive…

Q: What makes computer and telephone networks different?

A: Answer: We need to explain the what are the difference between the computer and telephonic network.…

Q: Wireless networks are fundamentally problematic. Explain how three of these problems influence…

A: Introduction: Due to their very nature, wireless networks present a number of obstacles that must be…

Concept explainers

LUP Decomposition

LU decomposition stands for Lower-Upper decomposition. LU decomposition is the factorization of the lower triangular matrix and an upper triangular matrix. It is very useful in linear algebra and numerical analysis. A permutation matrix is usually included in the product. Gaussian elimination in a matrix form is known as LU decomposition, When inverting a matrix or evaluating its determinant, this is a crucial step. Tadeusz Banachiewicz, a Polish mathematician, first proposed the LU decomposition in 1938.

Question

Write down a summation version of the run-time of each of the
following two algorithms and then figure out and prove the asymptotic complexity
(-set) of that run-time function.
(a) FUNCTION Wa(n = N)
x < 0
i 1
WHILE i < n² DO
x + +
i ← 5i
RETURN(x)
(b) FUNCTION W₁(n = N)
x < 0
FOR
1 TO ² DO
j← 3
WHILE j ≤ i DO
x + +
j← 2j
RETURN(x)

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, computer-science and related others by exploring similar questions and additional content below.

Similar questions

Given an n-element sequence of integers, an algorithm executes an O(n)-time computation for each even number in the sequence, and an O(logn)-time computation for each odd number in the sequence. What are the best-case and worst-case running times of this algorithm? Why? Show with proper notations.
Write down a summation version of the run-time of each of thefollowing two algorithms and then figure out and prove the asymptotic complexity(Θ-set) of that run-time function.
2. Algorithm A has a running time described by the recurrence T(n) = 7T(n/2) + n². A competing algorithm B has a running time described by the recurrence T(n) = aT (n/4) + n². What is the largest integer value for a such that B is asymptotically faster than A? Explain your answer.
Find time complexity of given function using: a). Substitution method b). Iteration method 1) T(1)= c T(n)= 2T(n/2) + cn, n > 1 2) T(1)= c T(n)= 3T(n/4) + cn, n > 1
Another recursive algorithm is applied to some data A = (a₁, ..., am) where m = 2* (i.e. 2, 4, 8,16 ...) where x is an integer ≥ 1. The running time T is characterised using the following recurrence equations: T(1) = c when the size of A is 1 T(m) = 2T (2) + c otherwise Determine the running time complexity of this algorithm.
What is time complexity ofCalc function Calc(n) if n==0 return 1 else k = Calc(n/2) return k*k end end A T(n) = θ (1) B. T(n) = θ (Lgn) C. T(n) = θ((Ign)^2) D. T(n) = θ(n)
Design an iterative function Collatz(n,k) that computes the k^th number in the hailstone sequence starting at n: Collatz(n,k)= { c(c(c(...c(n)...))) }<----- k iterations
Consider a function f: N → N that represents the amount of work done by some algorithm as follow: f(n) = {(1 if n is oddn if n is even)┤ A. Prove or disprove. f(n) is O(n).
Consider a function f: N → N that represents the amount of work done by some algorithm as follow: f(n) = {(1 if n is oddn if n is even)┤ Prove or disprove. f(n) is O(n). Please show proof or disproof
Work out the time complexity of the function: Function f(n){ if (n>0{ x=x+1; f(n-1); f(n-1) ; f(n-1)}}
Course:Analysis of Algorithms For the following code snippet, provide line-by-line analysis and construct function T(n) that give theruntime of this code snippet as a function of “n”. Also determine the big-Oh of for this code snippet. for (int i = 1; i <= n; i++) {if ( x < i)sum += foo( i )+ foo(i+1);system.out.print(sum);else if ( x > i)sum += foo( i ) – foo(i–1);system.out.print(sum);elsefor (j = 1; j <= i; j++)system.out.print( i );system.out.println( );} foo (a) {for (int i = 0; i < n; i++)sum += a * i;return sum;}
Use the Transform-and-Conquer algorithm design technique with Instance Simplification variant to design an O(nlogn) algorithm for the problem below. Show the pseudocode. Given a set S of n integers and another integer x, determine whether or not there exist two elements in S whose sum is exactly x.