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Pretty broad question and I kind of rambled through it.
Start by defining a tree and its key terminology, then systematically cover the main types of trees and their operations, and finally discuss common algorithms and applications. Emphasize the trade-offs between different tree structures and their real-world uses.
Pro tip: Mention how trees are used in Microsoft products like file systems (NTFS uses B-trees) and databases (SQL Server indexes), showing practical awareness beyond textbook knowledge.
Explain what a tree is: a hierarchical data structure with nodes connected by edges, no cycles. Define root, parent, child, leaf, subtree, depth, height.
List and briefly explain binary trees, binary search trees (BST), balanced trees (AVL, Red-Black), B-trees, heaps, tries, and segment trees.
Cover insertion, deletion, search, traversal (in-order, pre-order, post-order, level-order), and rotation for balancing.
Mention tree traversal algorithms (DFS, BFS), lowest common ancestor, tree balancing, and applications like databases, file systems, and compilers.
Compare time complexities (e.g., BST vs balanced BST) and space usage, and explain when to use which tree structure.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.