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complete unit 1 explaination || DAA subject || Design and analysis of algorithms || btech cse

Understanding Algorithms and Pseudocode An algorithm is a step-by-step procedure to solve problems or complete tasks, applicable in both computing and daily life. For instance, making coffee involves sequential steps like adding milk, boiling it with sugar and coffee powder until the task completes. Writing algorithms doesn't follow strict rules; they can be expressed informally as pseudocode using English-like language for clarity.

Characteristics of an Algorithm Algorithms must have input/output capabilities (taking zero or more inputs but producing at least one output), terminate within finite steps without ambiguity (definiteness), contain only necessary actions (effectiveness), and work universally across various data types (generality). These properties ensure clear functionality while avoiding infinite loops or unnecessary complexity.

Performance Analysis: Time Complexity The efficiency of an algorithm depends on its time complexity—the duration required for execution—and space consumption. Time complexities include best-case scenarios requiring minimal time, worst cases needing maximum effort, and average cases falling between these extremes. Linear search illustrates this concept by varying times based on element positions during searches.

Components Influencing Performance Metrics 'Time' relies heavily upon system capacity—factors such as RAM speed/processors affect computation rates significantly—and whether single/multiple processors exist impacts processing speeds too! Similarly,'space' measures memory usage through instruction storage needs/environmental stacks/data spaces calculated via fixed-variable parts combined mathematically into formulas estimating overall requirements accurately!