Knowing the high praise, how to systematically learn the algorithm?

Hello everyone, I'm Senior Brother Wu, a programmer. Before, I wrote an answer on Zhihu on how to systematically learn algorithms . So far, I have received 1w approval. I will sort it out today and share it with the friends of station C. It is helpful Remember to like it .

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No BB, go straight to dry goods, was born in a non-major class, and only started learning algorithms after graduating from work. So far, I have studied for 4 years! ! !

In order to give you a comprehensive understanding of data structures and algorithms, I drew a picture that covers almost all the knowledge points that will be covered in data structure and algorithm books.

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There are 10 data structures: array, linked list, stack, queue, hash table, binary tree, heap, jump table, graph, Trie tree; 10 algorithms: recursion, sorting, binary search, search, hash algorithm, greedy algorithm , divide and conquer algorithm, backtracking algorithm, dynamic programming, string matching algorithm.

After mastering these basic data structures and algorithms, and then learning more complex data structures and algorithms, it will be very easy and very fast.

1. Complexity Analysis

Watching animations to easily understand the time complexity (1)

Watching animations to easily understand the time complexity (2)

A Song of Ice and Fire: "Time" and "Space" Complexity

Algorithm Complexity Cheat Sheets Every Programmer Should Favorite

2. Basic algorithm idea

Five minutes to understand what is "greedy algorithm"

With the 4-step problem-solving template, never fear dynamic programming again!

(Advanced version) With the four-step problem-solving template, never be afraid of dynamic programming again!

(Re-advanced version) With the four-step problem-solving template, don't be afraid of dynamic programming anymore!

What is Divide and Conquer Algorithm?

Watch animations to easily understand "recursion" and "dynamic programming"

Talking about what is dynamic programming and related "stock" algorithm problems

In-depth analysis of "regular expression matching": from brute force solution to dynamic programming

3. Sorting algorithm

"Multiple Image Warning" Manual Tear Sorting Algorithm – Essential for iOS Advanced

Top 10 Classic Sorting Algorithms Animation and Analysis, just watch me! (with code full version)

This may be the best article for analyzing the top ten sorting algorithms in the Eastern Hemisphere

4. Search

Several algorithm interview questions related to "Breadth First Search"

First understanding of breadth-first search and problem-solving routines

Revisiting depth-first search from the simple binary tree problem

5. Find

Detailed explanation of binary search algorithm

All at once! Comprehensive analysis of binary search problem-solving templates and question types

Interviewer, I will write binary search method! Yes, the one without bugs!

6. String matching

Animation: Bad Character Rule vs Good Suffix Rule in BM Algorithm

Animation: Seven minutes to understand what the KMP algorithm is

Animation: What is BF Algorithm?

Detailed explanation of KMP algorithm of dynamic programming (with code version)

7. Linear table

How to efficiently deduplicate an ordered array/linked list?

Super detailed! Explain a high-frequency algorithm problem in detail: the Kth largest element in an array

A simple array traversal problem, plus four conditions, I feel like I can't start

Magical use of array features! How to find the "missing first positive number"

The sword refers to the first question of the offer: search in a two-dimensional array

Animation: What is a monotonic stack?

Threading the needle in data structures: linked lists implement stacks and queues

Start with simple linear data structures: stacks and queues

Learn algorithm knowledge in five minutes: Implementing a queue with a stack / Implementing a stack with a queue

Several interview algorithm questions related to "stacks and queues"

Super detailed! Diagram "Merge K sorted linked lists"

Animation: How to easily handwrite a linked list in an interview?

The hardest linked list algorithm problem on LeetCode, bar none!

Linked List Algorithm Interview Questions? Just look at me!

Watch the animation to easily understand the "linked list" to implement the "LRU cache elimination algorithm"

Start with a simple linear data structure: a linked list with needles and leads (1)

Threading the needle in data structures: linked lists implement stacks and queues

8. Hash table

Five-minute speed reading: What is a hash table (hash table)?

What is a Hash-Flooding Attack?

Several interview questions related to hash (hash) tables

How to judge whether an element exists in billion-level data?

9. tree

Interview Preparation: Binary Tree High Frequency Interview Questions and Answers

Confused Fruits on the Tree: Learning Binary Search Trees

LeetCode binary tree problem summary

Revisiting depth-first search from the simple binary tree problem

Several algorithm interview questions related to "binary tree"

Explain in detail what is a balanced binary tree (AVL) (revised supplementary version)

[Interview site] Why does MySQL database use B+ tree to store indexes?

Dictionary tree concept and question type analysis

Interviewer: Why do MySQL indexes use B+ trees instead of other trees? Like B-trees?

I don't have a B-tree in my heart. . .

Data Structures and Algorithms - Minimum Spanning Tree

Arbor Day, those trees that the programmers planted

Data Structures and Algorithms - 2-3-4 Trees

Data Structures and Algorithms - 2-3 Trees

Watch the animation to easily understand the "Trie tree"

10. Figure

Talking about what is graph topological sorting

Data Structures and Algorithms - Graph Theory Foundation and Graph Storage Structure

Data Structures and Algorithms: Thirty Graphs to Understand "Two Ways of Traversing Graphs"

Data Structures and Algorithms - Graph Shortest Paths

Summarize

The process of learning data structures and algorithms is a very good process of thinking training. Therefore, do not passively memorize, think more dialectically, and ask more why.

If you keep doing this all the time, you will find that after you finish learning, you will involuntarily consider a lot of performance aspects when writing code, and the number of garbage code with very high time complexity and space complexity will appear. Fewer and fewer.

Your programming skills have truly been cultivated. Come on, everybody:)

About the Author

Author: Hello everyone, I'm Senior Brother Wu, a programmer. I have open sourced a project, LeetCodeAnimation, on GitHub. It currently has 60k stars. I explain algorithms in the form of animations. I have helped thousands of programmers get started with algorithms. Welcome to the public account. "Learn Algorithms in Five Minutes", learn algorithms with us.
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