This paper provides an overview of the fundamental concepts typically found in a first module of , covering the basic building blocks of software efficiency and organization. Algorithms and Data Structures: Fundamental Foundations 1. Introduction

Simple algorithms like Bubble Sort or Insertion Sort provide a conceptual base for more complex divide-and-conquer methods. 6. Conclusion

At the heart of computer science lies the relationship between data and the logic used to process it. An is a finite, well-defined sequence of steps to solve a problem, while a data structure is a specialized format for organizing, processing, retrieving, and storing data. The synergy between the two determines the performance and scalability of any software system. 2. Complexity Analysis (Big O Notation)

Before implementing structures, one must understand how to measure them. (Big O) allows programmers to predict how the execution time or memory usage of an algorithm grows as the input size ( ) increases. : Constant time (e.g., accessing an array index). : Linear time (e.g., searching an unsorted list). : Quadratic time (e.g., nested loops in simple sorting). 3. Linear Data Structures

Arrays are collections of elements stored in contiguous memory locations. Fast access via index ( Cons: Fixed size; insertions and deletions are costly ( ) as elements must be shifted. 3.2 Dynamic Structures: Linked Lists

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