⚡Left Track: 16 Industrial LLM Systems ⟷ Right Track: 32 LeetCode Algorithmic Patterns
AI Coding Bridge: LLM Systems ⟷ LeetCode Dual Roadmap
Left track presents the industrial LLM lifecycle from Data Prep to Agent DAGs; Right track reveals the foundational LeetCode algorithmic roots. Click cards for module exercise sets; Click connecting lines for executive bridge reviews.
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6 StagesProduction LLM Lifecycle (16 Systems)
Full Pipeline:Data Prep ➔ Kernels ➔ MoE Cluster ➔ RLHF ➔ PagedAttn ➔ Agent DAG
01
Data Prep & Token Loss Masking
Streaming Reservoir Sampling & SFT Packaging
Streaming Reservoir Sampling for Web-scale Datasets
Data Engineering & Streaming Sampling
💻 1 Kernels
SFT Data Engineering, Packaging & Loss Masking
Data Engineering & SFT Formatting
💻 1 Kernels
02
Core Architecture & Autograd Kernels
Autograd Graph, RoPE & FlashAttention
PyTorch Autograd Graph & Custom Backward Derivative Chains
Deep Learning Frameworks & Autograd Graph
💻 3 Kernels
Rotary Position Embedding (RoPE) & 2D Multimodal Extension
Transformer Architecture & Positional Embeddings
💻 3 Kernels
FlashAttention & Online Softmax SRAM Tiled Acceleration
Hardware Architecture & Kernel Optimization
💻 3 Kernels
03
MoE Scaling & Distributed Cluster
MoE Token Gating & 1F1B Pipeline
Mixture of Experts (MoE) Top-K Gating & Token Dispatch
Model Architecture & Sparse MoE Scaling
💻 3 Kernels
Distributed Training, Collective Communication & 1F1B Pipeline
Distributed Systems & Cluster Communication
💻 3 Kernels
04
RLHF Alignment & MCTS Reasoning
PPO/DPO & DeepSeek-R1 MCTS Tree
RLHF, Direct Preference Optimization (DPO) & GRPO Alignment
Preference Alignment & Reinforcement Learning
💻 1 Kernels
MCTS Reasoning, Tree-of-Thoughts & Backtracking for LLMs
Reinforcement Learning & System 2 Reasoning
💻 1 Kernels
05
Paged Virtual Memory & Prefix Cache
INT4 Quant, vLLM PagedAttn & SGLang
Low-bit Quantization (INT4 / NF4) & Bit Unpacking Kernels
Model Compression & Low-Bit Quantization
💻 1 Kernels
vLLM PagedAttention & Block-Paged KV Cache
Inference Engines & Memory Paging
💻 1 Kernels
SGLang RadixAttention Prefix Caching & KV Tree Management
Inference Serving & Memory Virtualization
💻 2 Kernels
06
High-Throughput Serving & Agent DAG
Speculative Decode, RAG & LangGraph DAG
Speculative Decoding & Multi-Candidate Draft Tree Verification
Inference Acceleration & Speculative Decoding
💻 1 Kernels
Streaming Stop Words & Constrained Grammar Matching
Inference Serving & Generation Guardrails
💻 1 Kernels
Hybrid RAG (Dense+Sparse), Interval Merge & Context Packing
Retrieval Systems & RAG Architecture
💻 2 Kernels
LangGraph Multi-Agent Orchestration & DAG Deadlock Prevention
Agentic Systems & Runtime Graph Scheduling
💻 1 Kernels
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5 StagesLeetCode Algorithmic Evolution (32 Patterns)
Full Roadmap:Linear Tables ➔ Two Pointers ➔ Stacks & Queues ➔ Advanced Trees ➔ Search & DP
01
Linear Tables & Prefix Transforms
Arrays, Prefix Sums, Diff Arrays & Matrix
Prefix Sum & Difference Array
Linear Tables & Two Pointers
6 Problems
Matrix Traversal & In-place Spatial Rotation
Matrix Transformations & Spatial Layout
4 Problems⚡ 1 Bridges
02
Two Pointers & Sliding Windows
Fast-Slow, Left-Right, Window & Intervals
Fast-Slow Pointers
Linear Tables & Two Pointers
7 Problems⚡ 2 Bridges
Left-Right Pointers (Two-Way Squeeze)
Linear Tables & Two Pointers
6 Problems⚡ 2 Bridges
Sliding Window Framework
Linear Tables & Two Pointers
4 Problems⚡ 2 Bridges
Interval Scheduling & Merging
Linear Tables & Two Pointers
10 Problems⚡ 2 Bridges
03
Stacks, Queues & Linked Invariants
Monotone Stack/Queue, Heap & Reversals
Stack & Syntax Balancing
Stacks & Queues
6 Problems⚡ 1 Bridges
Monotonic Stack
Stacks & Queues
4 Problems⚡ 2 Bridges
Monotonic Queue
Stacks & Queues
1 Problems⚡ 1 Bridges
Heap / Priority Queue
Stacks & Queues
4 Problems⚡ 1 Bridges
Dummy Head & Multi-way Merging
Linked Lists & Pointer Manipulation
8 Problems⚡ 1 Bridges
Pointer Reversal & In-place Reordering
Linked Lists & Pointer Manipulation
7 Problems⚡ 1 Bridges
04
Advanced Structures & Tree DFS/BFS
Trie, LRU Cache, Tree Decomposition & LCA
Trie (Prefix Tree)
Hash Maps & Advanced Data Structures
2 Problems⚡ 2 Bridges
LRU / LFU Cache (Hash + Doubly Linked List)
Hash Maps & Advanced Data Structures
5 Problems⚡ 2 Bridges
O(1) Insert Delete GetRandom (Array + Map)
Hash Maps & Advanced Data Structures
4 Problems⚡ 1 Bridges
Tree DFS: Traversal vs Problem Decomposition
Trees & Divide-and-Conquer
18 Problems⚡ 1 Bridges
Tree Level-Order Traversal (BFS)
Trees & Divide-and-Conquer
5 Problems⚡ 1 Bridges
Binary Search Tree Properties
Trees & Divide-and-Conquer
9 Problems⚡ 1 Bridges
Lowest Common Ancestor (LCA)
Trees & Divide-and-Conquer
2 Problems⚡ 1 Bridges
05
Search, Graph DAG & Dynamic Programming
DAG, Backtracking, DP & Binary Search
Topological Sort & DAG Dependency Resolution
Graph Theory & DAG Dependencies
2 Problems⚡ 1 Bridges
Union-Find (Disjoint Set Union)
Graph Theory & DAG Dependencies
3 Problems⚡ 1 Bridges
Shortest Path (Dijkstra)
Graph Theory & DAG Dependencies
1 Problems
Backtracking & Tree-of-Thoughts
Exhaustive Search & Backtracking
16 Problems⚡ 1 Bridges
State-Space BFS (Shortest Action Plan)
Exhaustive Search & Backtracking
4 Problems⚡ 1 Bridges
Sequence & String DP (LIS, LCS, Edit Distance)
Dynamic Programming
80 Problems⚡ 1 Bridges
State Machine DP & Bellman Equations
Dynamic Programming
9 Problems⚡ 1 Bridges
Knapsack DP & Resource Allocation
Dynamic Programming
4 Problems⚡ 1 Bridges
Binary Search Left/Right Bounds & Answer Binary Search
Binary Search & Divide-and-Conquer
11 Problems⚡ 1 Bridges
Bit Manipulation & Bitmasks
Bit Manipulation & Low-Level Math
4 Problems⚡ 1 Bridges
Reservoir Sampling & Probability Simulation
Sampling & Stochastic Algorithms
15 Problems⚡ 1 Bridges
String Matching (KMP / Deterministic Finite Automaton)
String Matching & Automata (DFA)
1 Problems⚡ 1 Bridges
Sorting & Divide-and-Conquer (Partitioning)
Sorting & Divide-and-Conquer
5 Problems⚡ 1 Bridges