If we want to store data about people we are related to, we use a family tree as the data structure. We choose a family tree as the data structure because we have information about people we are related to and how they are related, and we want an overview so that we can easily find a specific family member, several generations back.
Abstract Data Structures are higher-level data structures that are built using primitive data types and provide more complex and specialized operations. Some common examples of abstract data structures include arrays, linked lists, stacks, queues, trees, and graphs.
Algorithms are fundamental to computer programming as they provide step-by-step instructions for executing tasks. An efficient algorithm can help us to find the solution we are looking for, and to transform a slow program into a faster one.
The algorithms we will look at in this tutorial are designed to solve specific problems, and are often made to work on specific data structures. For example, the 'Bubble Sort' algorithm is designed to sort values, and is made to work on arrays.
Data structures and algorithms (DSA) go hand in hand. A data structure is not worth much if you cannot search through it or manipulate it efficiently using algorithms, and the algorithms in this tutorial are not worth much without a data structure to work on.
On the next page we will look at two different algorithms that prints out the first 100 Fibonacci numbers using only primitive data structures (two integer variables). One algorithm uses a loop, and one algorithm uses something called recursion.
Data structures and algorithms is a fundamental course in Computer Science, which enables learners across any discipline to develop the much-needed foundation of efficient programming, leading to better problem solving in their respective disciplines.
A Textbook of Data Structures and Algorithms is a textbook that can be used as course material in classrooms, or as self-learning material. The book targets novice learners aspiring to acquire advanced knowledge of the topic. Therefore, the content of the book has been pragmatically structured across three volumes and kept comprehensive enough to help them in their progression from novice to expert.
With this in mind, the book details concepts, techniques and applications pertaining to data structures and algorithms, independent of any programming language. It includes 181 illustrative problems and 276 review questions to reinforce a theoretical understanding and presents a suggestive list of 108 programming assignments to aid in the implementation of the methods covered.
This document provides an introduction to data structures and algorithms. It defines data structures as organized collections of data and describes common types including primitive, non-primitive, linear, and non-linear data structures. It also defines algorithms as step-by-step problem solving processes and discusses characteristics like finite time completion. The document outlines ways to measure algorithm efficiency including time and space complexity and asymptotic notation.Read less
Data structures are fundamental to computer science that help efficiently organize, manage, and store data. They enable developers to perform operations on data in a way that maximizes performance and minimizes resource usage. Understanding data structures is critical for solving complex problems and designing efficient algorithms.
In today's world, data plays a vital role in various aspects of life. It is basically a collection of facts and figures representing certain values organized in a specific format. These values can be further categorized into sub-items for more detailed information or grouped for a better understanding.
Let's consider a simple example to understand complex data structures. A student's information can be divided into sub-items such as first, middle, and last names. On the other hand, the ID assigned to a student represents a single data item. This difference between primary data items like ID, age, and gender and grouped data items like name and address is the first step toward understanding complex data structures. Understanding this difference helps you to discover how data structures organize, manage, and utilize data effectively.
Data structures are ways of arranging data on a computer to be accessed and modified efficiently. Depending on the requirement, data can be organized in various structures, each with its unique way of storing and accessing information. The choice of data structure affects the efficiency of an algorithm or a program, making understanding different types of data structures crucial for optimal programming practices.
The primary purpose of data structures is to organize data in a manner that suits the application's needs and enables efficient processing. For example, some data structures are designed for fast data retrieval, while others are optimized for quick modification. This differentiation highlights the importance of choosing the proper data structure for specific programming tasks.
Understanding and implementing data structures effectively is vital for developing efficient software. The choice of data structure can significantly impact the performance and scalability of applications. By mastering the basics of data structures, developers can optimize data storage and manipulation, leading to more robust and efficient algorithms.
You will be able to find information about Advanced data structures & algorithms along with its Course Objectives and Course outcomes and also a list of textbook and reference books in this blog.You will get to learn a lot of new stuff and resolve a lot of questions you may have regarding Advanced data structures & algorithms after reading this blog. Advanced data structures & algorithms has 5 units altogether and you will be able to find notes for every unit on the CynoHub app. Advanced data structures & algorithms can be learnt easily as long as you have a well planned study schedule and practice all the previous question papers, which are also available on the CynoHub app.
All of the Topic and subtopics related to Advanced data structures & algorithms are mentioned below in detail. If you are having a hard time understanding Advanced data structures & algorithms or any other Engineering Subject of any semester or year then please watch the video lectures on the official CynoHub app as it has detailed explanations of each and every topic making your engineering experience easy and fun.
Cryptography uses mathematical techniques to transform data and prevent it from being read or tampered with by unauthorized parties. That enables exchanging secure messages even in the presence of adversaries. Cryptography is a continually evolving field that drives research and innovation. The Data Encryption Standard (DES), published by NIST in 1977 as a Federal Information Processing Standard (FIPS), was groundbreaking for its time but would fall far short of the levels of protection needed today.
As our electronic networks grow increasingly open and interconnected, it is crucial to have strong, trusted cryptographic standards and guidelines, algorithms and encryption methods that provide a foundation for e-commerce transactions, mobile device conversations and other exchanges of data. NIST has fostered the development of cryptographic techniques and technology for 50 years through an open process which brings together industry, government, and academia to develop workable approaches to cryptographic protection that enable practical security.
Our work in cryptography has continually evolved to meet the needs of the changing IT landscape. Today, NIST cryptographic solutions are used in commercial applications from tablets and cellphones to ATMs, to secure global eCommcerce, to protect US federal information and even in securing top-secret federal data. NIST looks to the future to make sure we have the right cryptographic tools ready as new technologies are brought from research into operation. For example, NIST is now working on a process to develop new kinds of cryptography to protect our data when quantum computing becomes a reality. At the other end of the spectrum, we are advancing so-called lightweight cryptography to balance security needs for circuits smaller than were dreamed of just a few years ago.
NIST also promotes the use of validated cryptographic modules and provides Federal agencies with a security metric to use in procuring equipment containing validated cryptographic modules through other efforts including: FIPS 140, Cryptographic Programs and Laboratory Accreditation Cryptographic Module Validation Program (CMVP), Cryptographic Algorithm Validation Program (CAVP), and Applied Cryptography at NIST's National Cybersecurity Center of Excellence (NCCoE).
I have implemented quicksort in Java and C and I was doing some basic comparissons. The graph came out as two straight lines, with the C being 4ms faster than the Java counterpart over 100,000 random integers.
I wasn't sure what an (n log n) line would look like but I didn't think it would be straight. I just wanted to check that this is the expected result and that I shouldn't try to find an error in my code.
In fact, this log factor is so extraordinarily small that for most orders of magnitude, established O(n logn) algorithms often outperform linear time algorithms. A prominent example is the creation of a suffix array data structure.
A similar case has recently bitten me when I tried to improve a quicksort sorting of short strings by employing radix sort. Short strings, this (linear time) radix sort was faster than quicksort, but there was a tipping point for still relatively short strings, since radix sort crucially depends on the length of the strings you sort.
The derivative of log(x) is 1/x. This is how quickly log(x) increases as x increases. It is not linear, though it may look like a straight line because it bends so slowly. When thinking of O(log(n)), I think of it as O(N^0+), i.e. the smallest power of N that is not a constant, since any positive constant power of N will overtake it eventually. It's not 100% accurate, so professors will get mad at you if you explain it that way.
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