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Created page with "== 2.3 Algorithms & Pseudocode == At the core of computer science lies the concept of the algorithm. An algorithm is a well-defined, step-by-step procedure for solving a problem or accomplishing a task. It's a sequence of unambiguous instructions that, when executed, produces a desired output within a finite amount of time. Understanding algorithms is fundamental to programming and problem-solving in computing, as they provide the logical blueprints for software and syst..."

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== 2.3 Algorithms & Pseudocode ==
At the core of computer science lies the concept of the algorithm. An algorithm is a well-defined, step-by-step procedure for solving a problem or accomplishing a task. It's a sequence of unambiguous instructions that, when executed, produces a desired output within a finite amount of time. Understanding algorithms is fundamental to programming and problem-solving in computing, as they provide the logical blueprints for software and systems.

=== 2.3.1 Definition of an Algorithm ===
An algorithm can be formally defined as a finite set of unambiguous instructions to perform a specific task. For an algorithm to be considered valid, it must possess several key characteristics:

* '''Finiteness:''' An algorithm must terminate after a finite number of steps. It cannot go on indefinitely.
* '''Definiteness:''' Each step of the algorithm must be precisely and unambiguously defined. There should be no room for misinterpretation.
* '''Input:''' An algorithm must take zero or more well-defined inputs. These are the quantities or conditions given to the algorithm initially.
* '''Output:''' An algorithm must produce one or more well-defined outputs. These are the results of the algorithm's execution.
* '''Effectiveness:''' Each instruction must be sufficiently basic that it can in principle be carried out by a human using only pencil and paper. It must be feasible to execute.

Algorithms are distinct from the programs that implement them. An algorithm is an abstract description of a computational process, while a program is a concrete realization of an algorithm in a specific programming language. The same algorithm can be implemented in many different programming languages.

=== Bibliography ===

* Cormen, T. H., Leiserson, C. E., Rivest, R. L., & Stein, C. (2009). ''Introduction to Algorithms'' (3rd ed.). MIT Press.
* Knuth, D. E. (1997). ''The Art of Computer Programming, Vol. 1: Fundamental Algorithms'' (3rd ed.). Addison-Wesley Professional.
* Sedgewick, R., & Wayne, K. (2011). ''Algorithms'' (4th ed.). Addison-Wesley Professional.

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