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Algorithms Complexity
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== <span style="color: #FFFFFF;">Remembering</span> == * '''Algorithm''' β A finite set of instructions to solve a specific problem. * '''Computational Complexity''' β A measure of the resources (time and space) needed to run an algorithm. * '''Big O Notation''' β A mathematical notation that describes the limiting behavior of a function (the "worst-case" scenario). * '''Time Complexity''' β How the execution time of an algorithm grows with the input size (n). * '''Space Complexity''' β How the memory usage of an algorithm grows with the input size (n). * '''P (Complexity Class)''' β Problems that can be solved in "polynomial time" (efficiently). * '''NP (Complexity Class)''' β Problems where a solution can be ''verified'' in polynomial time, but not necessarily solved. * '''NP-Complete''' β The "hardest" problems in NP; if one is solved efficiently, they all are. * '''Recursion''' β A method where a function calls itself to solve smaller instances of the same problem. * '''Greedy Algorithm''' β An algorithm that makes the locally optimal choice at each step. * '''Dynamic Programming''' β An optimization technique that solves complex problems by breaking them into overlapping subproblems. * '''Divided and Conquer''' β An algorithm design pattern that breaks a problem into two or more sub-problems of the same or related type. * '''Heuristic''' β A technique designed for solving a problem more quickly when classic methods are too slow. * '''Sorting''' β The process of arranging data in a specific order (e.g., QuickSort, MergeSort). * '''Searching''' β The process of finding a specific item in a dataset (e.g., Binary Search). </div> <div style="background-color: #006400; color: #FFFFFF; padding: 20px; border-radius: 8px; margin-bottom: 15px;">
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