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DATA STRUCTURE AND ALGORITHM
Introduction:
Algorithms and data structures are core ideas in computer science that are the
cornerstones of effective and efficient programme development. Algorithms are the
sequential processes used to solve problems and modify data, whereas data
structures are the building blocks of programmes that organise and store data. The
fundamental ideas and methods pertaining to data structures and algorithms will be
covered in this note.
The effectiveness and performance of a programme can be significantly impacted
by the algorithm and data structure choices made. For instance, if you sort a lot of
data with an ineffective algorithm, your programme can run slowly and the customer
experience might be subpar. Therefore, in order to develop high-performing and
dependable software applications, understanding data structures and algorithms is
essential.
Data Structure:
Data structures are used to organize and store data in a computer memory. They can
be divided into two main categories: linear and non-linear data structures.


Linear Data Structures:
Linear data structures store data in a sequential manner, where each element is
connected to the next and previous elements in the structure. Examples of linear
data structures include arrays, linked lists, stacks, and queues.


Arrays are a simple and commonly used data structure that stores data in
contiguous memory locations. They allow for easy access to individual elements by
index, but inserting or deleting elements can be slow due to the need to shift the
remaining elements.


Linked lists, on the other hand, store data in non-contiguous memory locations and
use pointers to connect each element. They allow for efficient insertion and deletion

, of elements, but accessing individual elements can be slow due to the need to
traverse the linked list.


Stacks and queues are abstract data types that provide a last-in-first-out (LIFO) and
first-in-first-out (FIFO) ordering, respectively. Stacks are commonly used in
programming languages for function calls and recursion, while queues are often
used for task scheduling and job processing.


Non-Linear Data Structures:
With each element having one or more child elements, non-linear data structures
store data in a hierarchical or tree-like fashion. Graphs and trees are two types of
non-linear data structures.


In a tree, each element has a parent and zero or more children, and the data is stored
in a hierarchical way. XML documents, file systems, and database indexes are only a
few examples of the types of data that are frequently organised using them.


A more general data structure called a graph is made up of nodes and edges, where
nodes stand for entities and edges for the connections between those items. They
are used to simulate intricate connections between things, such as those seen in
social networks, transportation networks, and computer networks.


ALGORITHM
An algorithm is a method that solves a problem or completes a task step-by-step.
Based on their design and implementation, algorithms can be grouped into many
categories, such as searching, sorting, graph, and dynamic programming algorithms.




Searching Algorithms:

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