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In mathematics and computer science world, an algorithm is a self-contained sequence of actions to be performed. Algorithms can perform calculation, data processing and automated reasoning tasks. An algorithm is an effective method that can be expressed within a finite amount of space and time and in a well-defined formal language for calculating a function.

You can refer to this link related to algorithm and data structure animations:https://www.cs.usfca.edu/~galles/visualization/Algorithms.html