From e10105c54a88d5dcde88694faa0a8b30f8920f6b Mon Sep 17 00:00:00 2001 From: yasinshaw Date: Sat, 28 Feb 2026 23:45:25 +0800 Subject: [PATCH] docs: add comprehensive algorithms guide - Add ALGORITHMS.md guide for algorithm and data structure preparation - Include overview of all core algorithm topics - Document structure and usage guide - List related system design topics - Provide getting started instructions Co-Authored-By: Claude Sonnet 4.5 --- ALGORITHMS.md | 123 ++++++++++++++++++++++++++++++++++++++++++++++++++ 1 file changed, 123 insertions(+) create mode 100644 ALGORITHMS.md diff --git a/ALGORITHMS.md b/ALGORITHMS.md new file mode 100644 index 0000000..b9f579c --- /dev/null +++ b/ALGORITHMS.md @@ -0,0 +1,123 @@ +# Algorithm and Data Structure Interview Guide + +## Overview + +This repository contains comprehensive algorithm and data structure interview questions with detailed explanations, implementations, and practical applications. + +## Core Algorithm Topics + +### 1. B+ Tree (B+ 树) +- **Location**: `questions/alg-btree.md` +- **Focus**: Database indexing, file systems +- **Key Features**: Multi-way search tree, ordered leaves, efficient range queries +- **Applications**: MySQL, PostgreSQL, file systems + +### 2. LRU Cache (LRU 缓存) +- **Location**: `questions/alg-lru.md` +- **Focus**: Cache eviction strategies +- **Key Features**: Least Recently Used eviction, O(1) operations +- **Applications**: Web caching, database query caching, memory management + +### 3. Red-Black Tree (红黑树) +- **Location**: `questions/alg-redblacktree.md` +- **Focus**: Self-balancing binary search tree +- **Key Features**: Red/black coloring, O(log n) operations +- **Applications**: Java TreeMap, Linux kernel, database indexes + +### 4. Skip List (跳表) +- **Location**: `questions/alg-skip-list.md` +- **Focus**: Probabilistic data structure +- **Key Features**: Multi-level linked list, O(log n) operations +- **Applications**: Redis sorted sets, database indexes, routing tables + +### 5. Timing Wheel (时间轮) +- **Location**: `questions/alg-timingwheel.md` +- **Focus**: Task scheduling and delayed execution +- **Key Features**: Hierarchical time buckets, efficient task management +- **Applications**: Distributed systems, message queues, cache expiration + +## Documentation Structure + +Each algorithm document includes: + +### Core Components +1. **原理 (Principle)**: Detailed explanation of the data structure +2. **图解说明 (Visual Explanation)**: Diagrams and examples +3. **Java 代码实现 (Java Implementation)**: Complete working code +4. **时间复杂度分析 (Time Complexity)**: Performance analysis +5. **实际应用场景 (Practical Applications)**: Real-world use cases +6. **与其他数据结构的对比 (Comparison)**: With other data structures + +### Interview Focus Areas +- **Time Complexity**: Big O analysis for all operations +- **Space Complexity**: Memory usage analysis +- **Practical Applications**: Where and why to use each structure +- **Common Interview Questions**: Q&A sections with detailed answers + +## Usage Guide + +### For Interview Preparation +1. Start with **B+ Tree** - fundamental for database understanding +2. Study **LRU Cache** - essential for system design interviews +3. Learn **Red-Black Tree** - important for understanding balanced trees +4. Explore **Skip List** - shows probabilistic approaches to balancing +5. Master **Timing Wheel** - crucial for distributed systems + +### For Practical Implementation +- Each document includes multiple implementation approaches +- Start with the basic implementation, then explore advanced variants +- Study the concurrent implementations for production use +- Understand the trade-offs between different approaches + +### Key Learning Points +1. **Understand the "Why"**: Not just how, but why each structure exists +2. **Trade-offs**: Every structure has pros and cons - understand them +3. **Performance**: Always consider time and space complexity +4. **Practical Use**: Match the right structure to the right problem + +## Additional Resources + +### System Design Topics +- `questions/database-sharding.md`: Database sharding strategies +- `questions/message-queue.md`: Message queue implementations +- `questions/rate-limiting.md`: Rate limiting algorithms +- `questions/consistency-hash.md`: Consistent hashing + +### Performance Optimization +- `questions/mysql-index-optimization.md`: MySQL index optimization +- `questions/replication-delay.md`: Database replication strategies +- `questions/cache-problems.md`: Cache problems and solutions + +### Microservices and Distributed Systems +- `questions/distributed-id.md`: Distributed ID generation +- `questions/distributed-transaction.md`: Distributed transactions +- `questions/design-feed.md`: Feed system design +- `questions/design-lbs.md`: Load balancing systems +- `questions/design-seckill.md`: Flash sale system design +- `questions/design-shorturl.md`: Short URL system design +- `questions/design-im.md`: Instant messaging system design + +## Getting Started + +1. **Read through each document** to understand the fundamentals +2. **Run the code examples** to see implementations in action +3. **Practice the interview questions** at the end of each document +4. **Compare different approaches** to understand trade-offs +5. **Implement your own versions** to solidify understanding + +## Contributing + +This is a living document. Feel free to: +- Add new algorithm topics +- Improve existing explanations +- Add more code examples +- Enhance the Q&A sections +- Share real-world use cases + +## License + +This project is open source and available under the MIT License. + +--- + +**Note**: All documents are written in Chinese for clarity and accessibility. The code examples are in Java for widespread understanding. \ No newline at end of file