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FDS Data Structures English Overview

English overview status

This page is an English overview, not a full line-by-line translation. The Chinese full note remains the source of record for complete explanations, examples, tables, exercises, and chapter structure.

Source and Language Boundary

  • Chinese full version: FDS 数据结构基础讲义
  • Original source file: note/FDS_数据结构基础讲义.md
  • Language status: overview only; use the Chinese full version for detailed study.

What This Note Covers

This overview maps the Chinese FDS data structures note, covering algorithm analysis, lists, stacks and queues, trees, heaps, union-find, segment trees, graphs, and topological sorting.

Study Outline

  • Algorithm Analysis: Asymptotic notation, common complexity classes, and the source of time and space costs.
  • Abstract Data Types and Lists: Interface design, linear lists, linked lists, cursor implementation, and polynomial examples.
  • Stacks and Queues: LIFO/FIFO structures, expression conversion, recursion stacks, and circular queues.
  • Trees and Binary Trees: Tree terminology, traversal, expression trees, threaded trees, and recursive structure.
  • Search Trees and Heaps: Binary search trees, priority queues, binary heaps, and heap applications.
  • Union-Find and Segment Trees: Dynamic equivalence, path compression, interval query, point update, range update, and lazy propagation.
  • Graphs: Graph definitions, storage methods, AOV networks, and topological sorting.

Preserved Notation Examples

The Chinese source contains mathematical notation and technical symbols. Examples preserved for cross-language lookup:

  • \(O(N\log N)\)
  • \(O(N)\)
  • \(O(1)\)
  • \(O(\log N)\)
  • \(N\)
  • \(O(N^2)\)
  • \(N/2\)
  • \(T(N)=O(f(N))\)
  • \(T\)
  • \(f\)

How to Use This Page

Use this English overview as a quick map before reading the Chinese full note. The Chinese page contains the complete detailed content, formulas, examples, tables, exercises, and course structure. This overview makes the topic discoverable to English visitors and gives Biying enough English context to explain what the note is about without overstating the translation status.