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Master Data Structures and Algorithms through 15 chapters of coding patterns. From Two Pointers to Dynamic Programming, this path covers 320 carefully curated problems organized by technique for optimal learning progression.
This comprehensive learning path organizes 320 problems into 15 chapters based on coding patterns, progressing from foundational techniques to advanced algorithms.
Learning Path Structure: • Chapter 1-2: Two Pointers & Sliding Window - Master pointer manipulation • Chapter 3-4: Binary Search & Array Manipulation - Search and transform techniques • Chapter 5-7: Stack, Linked List & Heap - Core data structure patterns • Chapter 8-10: Trees & Graphs - Traversal and graph algorithms • Chapter 11-12: Greedy & Backtracking - Optimization and exploration • Chapter 13-14: Dynamic Programming - Optimal substructure patterns • Chapter 15: Bit Manipulation - Binary operations and tricks
Each pattern includes multiple problems to reinforce learning.
What Is an Array? — The Fundamental Collection
Array Memory Model & Contiguous Storage
In-Place Unique Elements
In-Place Unique Elements
Filter Array By Value
Limit Element Occurrences in Sorted Array
Relocate Zeroes to End
Maximum Water Container
Triplet Nearest Sum
Sorted Array Pair Search
Integer Square Verification
Perfect Square Pair Sum
Sorted Squares
Maximum Pair Sum Below Threshold
Count Pairs Below Threshold
Rainfall Basin Accumulation
Rescue Vessel Allocation
Cyclic Chain Detection
Circular List Entry Point
Rearrange Linked List
Symmetric Linked List
Linked List Center Node
Remove Central Node from Linked List
Tri-Value Partition
Wave Pattern Rearrangement
Array Element Ordering
Common Elements with Frequency
Smallest Shared Element in Sorted Arrays
Maximum Symmetric Substring
Minimum Palindrome Splits
Symmetric Substring Count
Triple Palindrome Partition
Optimal Disjoint Palindrome Selection
What Is a String?
How Strings Are Represented (Conceptual View)
Permutation Substring Finder
Permutation Substring Finder
Anagram Substring Detection
Peak Window Average
Qualifying Window Segments
Peak Vowel Count in Window
Minimum Tile Repaints
Maximum Unique Window Sum
Maximum Unique Substring Length
Smallest Covering Substring
Max Length Window With Limited Unique Characters
Bounded Unique Character Window
Maximum Uniform Segment
Longest Continuous Segment with Modifications
Maximum Matching Substring Within Budget
Maximum Consecutive Ones After Removal
Maximize Uniform Signal Segment
Binary Segments With Target Sum
K Distinct Element Subarrays
Qualifying Subarray Count
Complete Triplet Substring Count
Full Spectrum Subarrays
The Search Problem — Formalization
Linear Search — The Baseline Search Algorithm
Rotated Array Search
Rotated Array Search
Sorted Array Position Finder
Smallest Element in Cyclic Sorted Array
First Defective Release
Target Element Range
Smallest Element in Rotated Duplicates Array
Locate Local Maximum
Lone Element in Paired Sequence
Summit Position in Unimodal Sequence
Mountain Array Target Search
Cyclic Shifted Array Lookup with Duplicates
Optimal Workload Partitioning
Minimize Largest Gap After Placements
Optimal Consumption Rate
Minimum Freight Capacity within Deadline
Maximum Minimum Spacing
Maximum Ascending Chain Length
Nested Container Stacking
Batch Interval Modifier
Batch Interval Modifier
Cumulative Character Rotation
Shuttle Service Capacity Check
Aggregate Range Reservations
Smallest Absent Positive
Detect Absent Element
Detect Repeating Element
Missing Elements in Sequence
Wave Pattern Arrangement
Partition Evens Before Odds
Parity Index Alignment
Spiral Grid Traversal
Generate Spiral Grid
Zigzag Matrix Walk
Diagonal Consistency Matrix
Diagonal Matrix Ordering
Anti-Diagonal Matrix Traversal
Anagram Clustering
Cyclic Character Equivalence
Duplicate File Detector
Partition Members by Team Capacity
Letter Composition Validator
Locate First Singular Character
Spot the Extra Character
Maximum Palindrome Construction Length
Treasure Stone Counter
Shared Letters Extraction
Constructible Words from Character Pool
Uniform Character Frequency
Substring Position Finder
Cyclic Pattern Detection
Subsequence Validator
Shortest Covering Substring for Subsequence
String Segmentation
Dictionary Sentence Formation
Minimum Leftover Characters
Pair Target Sum
What Is a Stack? Real-World Intuition
Stack as an Abstract Data Type (ADT)
Smallest Element Tracker Stack
Smallest Element Tracker Stack
Maximum Tracking Stack
Streaming Price Dominance Tracker
Incrementable Capacity Stack
Maximum Balanced Bracket Sequence
Nested Bracket Scoring
Deepest Bracket Level
Maximum Rectangular Area
Next Warmer Day Distance
Eliminate Consecutive Twins
Consecutive Character Collapse
Bounded Gap Subsequence Maximum
Bounded Leap Max Score
Why Linked Lists? Limitations of Arrays
What Is a Linked List?
Combine Ordered Sequences
Combine Ordered Sequences
Combine Sorted Sequences
Linked List Sort
Adjacent Node Exchange
K-Segment List Reversal
Linked List Number Addition
Priority Queues Revisited — Now with Implementation
Complete Binary Trees — The Foundation of Array-Based Heaps
Find Kth Ranked Element
Find Kth Ranked Element
Kth Order Element in Doubly Sorted Grid
K Nearest Values
Streaming Kth Highest Tracker
K Most Common Elements
Frequency-Based Character Ordering
Why Trees? Limitations of Linear Structures
Tree Properties — Height, Depth, Levels
Layer-by-Layer Binary Tree Values
Layer-by-Layer Binary Tree Values
Alternating Level Traversal
Binary Tree Height
Reverse Level Order Tree Traversal
Shortest Path to Tree Leaf
Rightmost Level Nodes
Multi-Child Tree Layer Traversal
Maximum Value Per Binary Tree Level
Level Mean Values
Peak Depth Value in Tree
Lowest Level Node Aggregation
Binary Tree Longest Path
N-ary Tree Height
Identical Binary Trees
Mirror Tree Validation
Height-Balanced Tree Verification
Embedded Tree Detection
Mirror Equivalent Binary Trees
Rebuild Binary Tree from Preorder and Inorder Traversals
Reconstruct Tree from Preorder and Postorder Sequences
Verify BST Integrity
Restore Corrupted Binary Search Tree
BST Rank Finder
BST Most Frequent Values
Closest Value Gap in Search Tree
Smallest Value Gap in Binary Search Tree
Ascending BST Reorganization
Binary Tree Bounded Sum
Inorder Tree Values
Target Sum Paths
Aggregate Path Numbers in Binary Tree
Tree Root-to-Leaf Paths
Lexicographically Minimal Leaf-to-Root String
Rearrangeable Palindrome Root-to-Leaf Paths
Optimal Tree Route Sum
Tree Balance Metric
Maximum Uniform Path
Tree Column Traversal
Columnar Tree Traversal
Why Graphs? Real-World Networks
What Is a Graph? Definition & Terminology
Capture Enclosed Territory
Capture Enclosed Territory
Count Connected Landmasses
Dual Ocean Drainage Cells
Landmass Boundary Length
Minefield Explorer
Largest Connected Land Region
Region Color Propagation
Count Isolated Land Cells
Count Enclosed Land Regions
Contained Region Count
Unique Landmass Shapes
Canonical Island Shapes
Infection Spread Simulation
Nearest Zero Distance
Maximum Ocean Distance
Terrain Elevation Grid
Vocabulary Chain Transformation
Minimum Square Sum Decomposition
Minimum DNA Sequence Transformations
Combination Lock Solver
Tile Shuffle Puzzle
Minimum Swap Distance
Minimum Path in Binary Grid
Grid Navigation with Obstacle Removal
Array Teleportation Jumps
Minimum Direction Changes for Grid Navigation
Minimum Barrier Clearance to Destination
Graph Traversal Overview
Depth-First Search (DFS) — Algorithm & Applications
Task Dependency Validator
Task Dependency Validator
Task Execution Order
Safe Destination Nodes
Two-Set Graph Partition
Group Division Feasibility
Optimal Graph Layering
Connected City Regions
Undirected Graph Tree Validation
Cycle Forming Edge Detection
Foreign Alphabet Order
Unique Ordering Verification
Quietest Wealthier Connection
Minimum Study Terms
Dependency Reachability Queries
Maximum Color Frequency in DAG Paths
Minimum Project Completion Time
Craftable Items From Inventory
Deep Copy Network
Duplicate Linked List with Arbitrary Links
N-ary Tree Duplication
Signal Propagation Time
Highest Success Route
Minimum Exertion Path
Shortest Route Count
Flood Navigation Minimum Time
Minimum Cost Network Infrastructure
Minimum Community Utility Cost
Minimum Network Cost
Flight Route Planner
Chained Segment Ordering
What Is a Greedy Algorithm?
The Greedy Choice Property — Foundation of Greedy Algorithms
Optimal Contiguous Subarray Sum
Optimal Contiguous Subarray Sum
Optimal Single Trade Profit
Circular Array Maximum Subarray Sum
Optimal Landmark Pair
Maximize Trading Gains
Circular Route Fuel Station
Maximum Sortable Partitions
Minimum Hops to Destination
Destination Reachability
Minimum Interval Coverage
Optimal Sprinkler Coverage
Minimum Interval Removals
Minimum Darts to Pop Intervals
Longest Interval Sequence
Spaced Character Rearrangement
CPU Operation Scheduler with Cooldown
Adjacent Character Separator
Non-Adjacent Element Rearrangement
Maximum Balanced Sequence
Final Boulder Mass
Minimum Rope Concatenation Cost
Optimal Workforce Allocation
Merge Operations to Reach Minimum Bound
Simple Prime Factor Check
Maximum Product Partition
Minimum Test Subjects
Smallest Digit Product Number
Minimal Text Replication
What Is Backtracking?
Backtracking vs Brute Force: Understanding the Distinction
Power Set Generation
Power Set Generation
Unique Power Set
Ascending Order Subsequences
Target Sum Combinations
Unique Subset Combinations
K-Element Subsets
K-Element Target Sum
Generate All Arrangements
Unique Arrangements
Palindrome Rearrangement Enumeration
Divisibility Compliant Permutations
Perfect Square Permutations
Optimal Pairing Alignment Score
Coprime Index Arrangements
Parity Alternating Sequences
Reconstruct Network Addresses
Palindrome Segmentation
Maximum Distinct Partitions
Equal Split Subset Sum
Partition Sticks Into Square
Divide Into Equal Sum Groups
Throne Arrangement
Royal Placement Count
What Is Dynamic Programming?
Overlapping Subproblems — The Heart of Dynamic Programming
Staircase Ascent
Staircase Ascent
Maximum Non-Adjacent Selection
Sequence Sum Calculator
Minimum Expense Staircase Traversal
Grid Traversal Routes
Grid Navigation with Obstacles
Grid Minimum Cost Traversal
Maximum Profit with Limited Transactions
Circular Neighborhood Heist
Collect and Discard
Longest Mirror Subsequence
Largest Unit Square
All-Ones Square Submatrix Count
String Transformation Cost
String Transformation Cost
Unique Subsequence Count
Minimum Deletions to Equalize Strings
Longest Shared Subsequence
Minimal Universal Supersequence
Pattern Text Matching
Pattern Glob Matching
Woven String Validation
Signed Expression Ways
Denomination Combination Count
Minimum Collision Residue
Sequence Count to Target
Bundle Deal Optimizer
Optimal Polygon Triangulation Cost
Optimal Rod Division Cost
Construct Valid Bracket Sequences
Construct Distinct Binary Search Trees
Distinct BST Formations
Binary Representation Revisited — The Language of Low-Level Optimization
Bitwise Operators — AND, OR, XOR, NOT
Binary One Counter
Binary One Counter
Range Bitwise Conjunction
Binary Power Verification
Unique Element Finder
Dual Singleton Detection
Arithmetic Sequence XOR
Binary Reduction to Zero
Cross Pair XOR Aggregate
Circular XOR Array Validation
Quadruple Power Check
Reflected Binary Sequence
Binary Ones Counter
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