A Binary Search Tree (BST) is a data structure that facilitates fast lookup, addition, and removal of items, with average time complexities of O(log n) for these operations when the tree is balanced. Each node in a BST has a key greater than all keys in its left subtree and less than those in its right subtree, enabling efficient searching and sorting of data.

Binary Search Tree

A data structure is a specialized format for organizing, processing, retrieving, and storing data, enabling efficient access and modification. Choosing the right data structure is crucial for optimizing performance and resource utilization in software applications.

data structure

Fast lookup refers to the ability of a data structure or algorithm to quickly retrieve data, often in constant or logarithmic time. This efficiency is crucial in applications requiring rapid access to large datasets, such as databases, search engines, and real-time systems.

fast lookup

Addition of items

removal of items

average time complexities

O(log n)

A balanced tree is a type of data structure where the height difference between the left and right subtrees of any node is minimized, ensuring operations like insertion, deletion, and search remain efficient, typically O(log n) in time complexity. This balance is crucial for maintaining optimal performance in dynamic sets of data where frequent updates occur.

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