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Hash Table

A hash table is a data structure that maps keys to values for efficient data retrieval.

A hash table is a data structure that implements an associative array, a structure that can map keys to values. It uses a hash function to compute an index into an array of buckets or slots, from which the desired value can be found. Hash tables are designed to provide fast access to data, typically offering average-case time complexity of O(1) for lookups, insertions, and deletions.

The efficiency of a hash table depends largely on the quality of the hash function, which should distribute keys uniformly across the hash table to minimize collisions. A collision occurs when two keys hash to the same index, which can lead to performance degradation. Common methods for handling collisions include chaining (where a linked list is used to store multiple items at the same index) and open addressing (where a sequence of probes is used to find the next open slot in the table).

Hash tables are widely used in various applications, including implementing databases, caches, and data retrieval systems due to their fast performance. They are a fundamental concept in computer science and are often studied in algorithm and data structure courses.

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