# How the LeetCode-Master Study Path Progresses from Beginner to Advanced Algorithmic Topics

> Explore the LeetCode-Master study path, a 13-stage roadmap progressing from beginner arrays to advanced graph theory. Master algorithms with its Theory Practice Summary cycle.

- Repository: [程序员Carl/leetcode-master](https://github.com/youngyangyang04/leetcode-master)
- Tags: tutorial
- Published: 2026-03-05

---

**The LeetCode-Master repository structures algorithmic learning as a 13-stage roadmap that moves from basic array manipulation through dynamic programming to advanced graph theory, with each module following a Theory → Practice → Summary cycle.**

The **youngyangyang04/leetcode-master** repository is one of the most comprehensive open-source resources for algorithmic interview preparation. Its study path progress from beginner to advanced algorithmic topics follows a carefully sequenced curriculum that builds computational thinking through incremental complexity. Learners master foundational data structures in `problems/数组理论基础.md` before tackling sophisticated network algorithms in `problems/kamacoder/图论理论基础.md`.

## The 13-Stage Learning Roadmap

The repository organizes content into thirteen distinct stages, each anchored by a dedicated theory file and a curated problem set ordered from easiest to hardest.

### Stage 1: Foundations (前序·打基础)

Before writing code, learners study the introductory sections in [`README.md`](https://github.com/youngyangyang04/leetcode-master/blob/main/README.md) covering coding habits, time-complexity analysis, and recursion fundamentals. This stage sets the mental model required for the entire study path progress from beginner to advanced algorithmic topics.

### Stage 2: Arrays (数组)

**Core theory:** `problems/数组理论基础.md` introduces contiguous memory, indexing, and prefix sums.

**Key technique:** Binary search on sorted arrays.

```cpp
int search(const vector<int>& nums, int target){
    int l=0, r=nums.size()-1;
    while(l<=r){
        int mid = l + (r-l)/2;
        if(nums[mid]==target) return mid;
        if(nums[mid]<target) l = mid+1; else r = mid-1;
    }
    return -1;
}

```

**Progression:** Problems advance from 704. Binary Search to 209. Minimum Size Subarray Sum, introducing sliding window techniques.

### Stage 3: Linked Lists (链表)

**Core theory:** `problems/链表理论基础.md` explains node-based structures and pointer manipulation.

**Key technique:** In-place reversal.

```cpp
ListNode* reverseList(ListNode* head){
    ListNode *prev=nullptr, *cur=head;
    while(cur){
        ListNode* nxt = cur->next;
        cur->next = prev;
        prev = cur;
        cur = nxt;
    }
    return prev;
}

```

This stage builds explicit pointer handling skills prerequisite for two-pointer algorithms.

### Stage 4: Hash Tables (哈希表)

**Core theory:** `problems/哈希表理论基础.md` covers constant-time lookups and collision handling.

**Key technique:** Complement mapping for pair sums.

```cpp
vector<int> twoSum(vector<int>& nums, int target){
    unordered_map<int,int> mp;
    for(int i=0;i<nums.size();++i){
        int need = target-nums[i];
        if(mp.count(need)) return {mp[need], i};
        mp[nums[i]] = i;
    }
    return {};
}

```

### Stage 5: Strings (字符串)

**Core theory:** `problems/字符串理论基础.md` addresses character arrays and pattern matching.

**Key technique:** Two-pointer swap.

```cpp
void reverseString(vector<char>& s){
    int l=0, r=s.size()-1;
    while(l<r) swap(s[l++], s[r--]);
}

```

### Stage 6: Two Pointers (双指针法)

**Core technique:** Sorted array sweep for combinatorial problems.

```cpp
vector<vector<int>> threeSum(vector<int>& nums){
    sort(nums.begin(), nums.end());
    vector<vector<int>> ans;
    for(int i=0;i<nums.size();++i){
        if(i>0 && nums[i]==nums[i-1]) continue;
        int l=i+1, r=nums.size()-1;
        while(l<r){
            long sum = (long)nums[i]+nums[l]+nums[r];
            if(sum==0){ ans.push_back({nums[i],nums[l],nums[r]});
                while(l<r && nums[l]==nums[l+1]) ++l;
                while(l<r && nums[r]==nums[r-1]) --r;
                ++l; --r;
            }else if(sum<0) ++l; else --r;
        }
    }
    return ans;
}

```

### Stage 7: Stacks and Queues (栈与队列)

**Core theory:** `problems/栈与队列理论基础.md` explains LIFO/FIFO structures.

**Key technique:** Two-stack queue implementation.

```cpp
class MyQueue {
    stack<int> in, out;
    void transfer(){ while(!in.empty()){ out.push(in.top()); in.pop(); } }
public:
    void push(int x){ in.push(x); }
    int pop(){ if(out.empty()) transfer(); int v=out.top(); out.pop(); return v; }
    int peek(){ if(out.empty()) transfer(); return out.top(); }
    bool empty(){ return in.empty() && out.empty(); }
};

```

### Stage 8: Binary Trees (二叉树)

**Core theory:** `problems/二叉树理论基础.md` covers recursion and traversal strategies.

**Key technique:** BFS level-order traversal.

```cpp
vector<vector<int>> levelOrder(TreeNode* root){
    vector<vector<int>> res; if(!root) return res;
    queue<TreeNode*> q; q.push(root);
    while(!q.empty()){
        int sz = q.size(); vector<int> level;
        for(int i=0;i<sz;++i){
            TreeNode* cur = q.front(); q.pop();
            level.push_back(cur->val);
            if(cur->left) q.push(cur->left);
            if(cur->right) q.push(cur->right);
        }
        res.push_back(level);
    }
    return res;
}

```

### Stage 9: Backtracking (回溯算法)

**Core theory:** `problems/回溯算法理论基础.md` addresses exhaustive search with pruning.

**Key technique:** DFS state exploration.

```cpp
void backtrack(int start, int k, vector<int>& comb, vector<vector<int>>& ans){
    if(comb.size()==k){ ans.push_back(comb); return; }
    for(int i=start;i<=9;i++){
        comb.push_back(i);
        backtrack(i+1,k,comb,ans);
        comb.pop_back();
    }
}
vector<vector<int>> combine(int n, int k){
    vector<vector<int>> ans; vector<int> comb; backtrack(1,k,comb,ans); return ans; }

```

### Stage 10: Greedy Algorithms (贪心算法)

**Core theory:** `problems/贪心算法理论基础.md` explains local-optimal choices.

**Key technique:** Two-pass local optimization.

```cpp
int candy(vector<int>& ratings){
    int n=ratings.size(); vector<int> left(n,1), right(n,1);
    for(int i=1;i<n;++i) if(ratings[i]>ratings[i-1]) left[i]=left[i-1]+1;
    for(int i=n-2;i>=0;--i) if(ratings[i]>ratings[i+1]) right[i]=right[i+1]+1;
    int ans=0; for(int i=0;i<n;++i) ans+=max(left[i],right[i]);
    return ans;
}

```

### Stage 11: Dynamic Programming (动态规划)

**Core theory:** `problems/动态规划理论基础.md` covers overlapping sub-problems.

**Key technique:** Bottom-up table filling.

```cpp
int climbStairs(int n){
    if(n<=2) return n; int a=1,b=2,c;
    for(int i=3;i<=n;++i){ c=a+b; a=b; b=c; }
    return b;
}

```

### Stage 12: Monotonic Stack (单调栈)

**Key technique:** Decreasing stack for next-greater queries.

```cpp
vector<int> nextGreaterElement(vector<int>& nums){
    int n=nums.size(); vector<int> ans(n,-1); stack<int> st;
    for(int i=0;i<n;++i){
        while(!st.empty() && nums[i]>nums[st.top()]){ ans[st.top()] = nums[i]; st.pop(); }
        st.push(i);
    }
    return ans;
}

```

### Stage 13: Graph Theory (图论)

**Core theory:** `problems/kamacoder/图论理论基础.md` introduces network algorithms.

**Key technique:** DFS flood-fill.

```cpp
void dfs(vector<vector<char>>& g, int i, int j){
    if(i<0||j<0||i>=g.size()||j>=g[0].size()||g[i][j]!='1') return;
    g[i][j]='0';
    dfs(g,i+1,j); dfs(g,i-1,j); dfs(g,i,j+1); dfs(g,i,j-1);
}
int numIslands(vector<vector<char>>& grid){
    int cnt=0; for(int i=0;i<grid.size();++i) for(int j=0;j<grid[0].size();++j)
        if(grid[i][j]=='1'){ ++cnt; dfs(grid,i,j); }
    return cnt;
}

```

## How the Study Path Reinforces Learning

The repository employs three pedagogical mechanisms to ensure retention.

### Theory → Practice → Summary Cycle

Every module begins with a concise theory markdown (e.g., `problems/数组理论基础.md`), followed by a curated problem set, and concludes with a summary file (e.g., `数组总结篇.md`). These summaries consolidate patterns and interview-specific pitfalls, creating a closed feedback loop for each topic.

### Difficulty-Ordered Problems

Within each module, problems are strictly sorted from easiest to hardest. For example, the array section progresses from 704. Binary Search to 27. Remove Element to 209. Minimum Size Subarray Sum, ensuring learners encounter complexity gradually.

### Cross-Module Skill Reinforcement

Advanced modules intentionally reuse earlier concepts. **Two-pointer techniques** appear in both the array and string sections, while **recursion** mastered in binary trees becomes essential for backtracking. This spiral curriculum cements knowledge through repeated application across different contexts.

## Summary

- The **youngyangyang04/leetcode-master** repository implements a **13-stage study path** that progresses from basic arrays to advanced graph algorithms.
- Each stage follows a **Theory → Practice → Summary** structure, with theory files like `problems/动态规划理论基础.md` and summary files like `动态规划总结篇.md`.
- Problems within each module are **ordered by difficulty**, ensuring a smooth learning curve from 704. Binary Search to A* pathfinding.
- **Cross-module reinforcement** ensures skills like two-pointers and recursion are practiced across arrays, strings, linked lists, and trees.
- The visual roadmap in `pics/算法大纲.png` provides a high-level overview of the entire progression.

## Frequently Asked Questions

### How long does it take to complete the full LeetCode-Master study path?

Most learners require **three to six months** of consistent study to complete all thirteen stages, assuming two to three hours of daily practice. The repository contains over 200 problems, and the progression from `problems/数组理论基础.md` to `problems/kamacoder/图论理论基础.md` is designed to be completed sequentially without skipping modules.

### Should I skip the theory files and go straight to the problems?

**No.** Each theory file (e.g., `problems/回溯算法理论基础.md`) provides essential conceptual vocabulary and pattern recognition cues that reduce debugging time. The repository explicitly structures each module as **Theory → Practice → Summary**, and learners who skip the theory often struggle with the "总结篇" review sections that assume familiarity with the initial concepts.

### How does the repository handle cross-module skill reinforcement?

The study path intentionally **spirals** key techniques across multiple domains. For example, **two-pointer** strategies first appear in the array section (704. Binary Search), resurface in the string module (344. Reverse String), and culminate in the two-pointer dedicated section (15. Three Sum). Similarly, **recursion** mastered in `problems/二叉树理论基础.md` becomes the foundation for `problems/回溯算法理论基础.md`. This repetition cements muscle memory for algorithmic patterns.

### Is LeetCode-Master suitable for absolute beginners with no programming experience?

The repository assumes **basic syntax familiarity** with at least one language (C++, Java, or Python). While [`README.md`](https://github.com/youngyangyang04/leetcode-master/blob/main/README.md) covers coding habits and complexity analysis, it does not teach variables, loops, or conditionals from scratch. Absolute beginners should first complete an introductory programming course, then use this repository as their **structured algorithmic curriculum** moving from `problems/数组理论基础.md` to advanced graph theory.