chefyuan/algorithm-base

Features

• Algorithm Visualizers - Renders step-by-step execution of data structures and algorithms through interactive animation simulations.
• Data Structure Visualizers - Renders step-by-step animation simulations to explain the operations of hash tables, stacks, queues, and trees.
• Algorithm and Data Structure Guides - Contrasts the time and space complexity of linked lists versus arrays for insertion and deletion operations.
• Algorithm Demonstrations - Demonstrates the mechanics of sorting and searching algorithms, such as quicksort and binary search, through simulations.
• Complexity Analysis - Analyzes sorting algorithms based on stability, time complexity, and memory usage.
• Algorithmic Performance Comparison - Provides comparative analysis and prose descriptions to contrast brute force and optimized algorithmic techniques.
• Conceptual-to-Code Mappings - Links prose explanations and visual simulations directly to multi-language source code implementations.
• Data Structure Implementations - Provides educational code implementations for the internal mechanics of stacks, queues, linked lists, and binary trees.
• Mechanism - Illustrates the last-in-first-out mechanism using animations to demonstrate push and pop operations.
• Algorithm and Data Structure Guides - Provides conceptual explanations and multi-language implementations for fundamental data structures like stacks, queues, and trees.
• Algorithm Implementation Guides - Provides a step-by-step implementation guide and annotated code for the Knuth-Morris-Pratt algorithm.
• Binary Trees - Illustrates the definitions and characteristics of binary tree architectures through animations.
• Algorithm Implementations - Provides practical code implementations and step-by-step logic for solving classic algorithmic problems.
• Algorithmic Pattern Visualizations - Provides visual walkthroughs for recurring algorithmic patterns in string matching, binary search, and tree traversals.
• Execution Visualizers - Renders step-by-step algorithmic state changes and pointer updates through simulated animations.
• Logic State Simulations - Models data structure transitions by tracking internal state changes across discrete execution steps.
• Pattern-Based Algorithm Categorization - Organizes diverse problems by underlying mechanisms such as sliding windows and monotonic stacks.
• Problem Solving Guides - Offers guides combining problem descriptions, logic analysis using techniques like prefix sums, and code implementations.
• Mechanism Illustrations - Illustrates the first-in-first-out mechanism using animations to demonstrate enqueueing and dequeueing.
• Sliding Window Algorithms - Uses animations and diagrams to demonstrate how sliding window boundaries and sums update across array segments.
• Process Mechanics Visuals - Explains sorting element movement and swapping through detailed animations and visual guides.
• Sorting Algorithms - Compares the time complexity and execution flow of different sorting methods through visual guides.
• Execution Simulations - Provides animated, step-by-step execution simulations for quick sort, merge sort, and heap sort.
• Strategy Comparisons - Provides comparative analysis of quick sort and merge sort regarding stability and memory usage.
• Step-Wise Execution Walkthroughs - Provides sequential snapshots of memory and pointer states to illustrate complex algorithmic flows.
• String Search Algorithm Study - Provides a study guide on basic sequential substring search techniques for technical interviews.
• Algorithm Visualizations - Uses animation simulations and guides to visually explain the internal mechanics of algorithmic problem-solving.
• Technical Interview Guides - Serves as a technical resource for preparing for software engineering interviews with logic analysis and execution flows.
• Technical Interview Preparation - Offers study guides for common coding challenges and optimized problem solving strategies for software engineering interviews.
• Tree Data Structures - Demonstrates the definitions and properties of general, complete, and skewed binary trees.
• Tree Traversal Simulations - Provides animated simulations of preorder, inorder, postorder, and level-order binary tree traversal techniques.
• Binary Search Algorithms - Explains the fundamental logic of binary search through conceptual analogies and animation simulations.
• Complexity Analysis - Analyzes time and space complexity of sorting processes across best-case and worst-case scenarios.
• Sorting Complexity - Evaluates sorting performance metrics based on gap sequences and various data distributions.
• Prefix Sum Algorithms - Implements prefix sum arrays to enable efficient calculation of subarray interval sums.
• Complexity Analysis - Evaluates multiple algorithmic strategies side-by-side based on time complexity, space complexity, and stability.
• Circular Buffer Visualizations - Visualizes how circular buffers resolve false overflow by connecting the head and tail of a queue.
• Operation Visualizations - Demonstrates enqueueing and dequeueing elements using animations to simulate the first-in-first-out mechanism.
• Parsing Visualizations - Converts infix expressions to postfix notation and evaluates them using stack-based animations.
• String Matching Algorithms - Provides animated simulations of brute-force string matching algorithms for educational purposes.
• Prefix-Based Pattern Matching Algorithms - Demonstrates prefix-based pattern matching logic through simulations of the KMP algorithm.
• Tree Traversal Algorithms - Illustrates how traversal algorithms manage pointers and visit nodes through visual breakdowns.
• Storage Tradeoff Analysis - Explains the performance and memory trade-offs between sequential array storage and linked pointer storage for trees.
• Pivot Index Locators - Simulates the process of finding a center index where left and right element sums are equal.
• Collision Handling Techniques - Demonstrates how to handle hash collisions using open addressing, chaining, and re-hashing.
• Collision Resolution Strategies - Manages multiple keys mapping to the same slot using chaining and open addressing strategies.
• Custom Hashing Implementations - Implements custom hashing functions using division, multiplication, folding, and digital analysis to calculate storage addresses.
• Efficiency Analysis - Evaluates hash search efficiency by analyzing hash function uniformity and load factors.
• Hash Index Calculations - Provides simulations for calculating unique indices for records to enable constant-time lookups.
• Hash Table Operations - Visualizes hash table operations including mapping keys to addresses and handling collisions with probing.
• Algorithm Interview Challenges - Applies algorithmic concepts to classic technical interview challenges through animated guides and simulations.
• Binary Search Variants - Analyzes binary search applications for non-standard structures, such as rotated sorted arrays.
• Circular Queue Logic - Explains the use of wrap-around arrays in circular queues to prevent false overflow.
• Stack-Based Minimum Finders - Implements a stack that retrieves the minimum element in constant time using a secondary tracking stack.
• Interview-Focused Problem Sets - Features step-by-step animated breakdowns of curated algorithmic problems commonly found on technical interview platforms.
• Reordering Simulations - Groups nodes by positional parity using animations and step-by-step explanations.
• Matrix Search Algorithms - Implements optimized strategies for performing binary search within a sorted 2D matrix.
• MaxQueue Visualizations - Demonstrates the use of a monotonic deque alongside a standard queue to retrieve maximum elements in constant time.
• Stack-Based - Simulates stack behavior using queue operations through step-by-step animations and code examples.
• Stack-Based Queues - Simulates a first-in-first-out queue using two last-in-first-out stacks.
• Search Algorithms - Explores binary search and string matching techniques through animated walkthroughs and case analysis.
• Algorithmic Problem Solving - Combines conceptual analysis, problem descriptions, and code to solve specific data structure challenges.
• Space-Optimized Traversals - Demonstrates space-efficient post-order traversal using the Morris method.
• Unique Element Identification - Demonstrates how to identify a unique element in an array where other elements repeat three times.
• Visual Algorithm Breakdowns - Provides graphical breakdowns and animated simulations of common algorithmic coding challenges.
• Consecutive Ones Streak Detection - Determines the longest sequence of consecutive ones in binary arrays using sliding window techniques.
• Bitwise Unique Element Search - Visualizes the use of XOR operations and bit-masking to isolate unique elements in a dataset.
• Boundary Index Locators - Identifies the index of the first element greater than or the last element smaller than a target.
• Linked List Cycle Detectors - Implements and visualizes algorithms for detecting loops in linked lists using dual-pointers or hash-based tracking.
• Matrix Pattern Traversal Algorithms - Implements and visualizes the traversal of a 2D array in a clockwise spiral pattern.
• Inversion Counting Algorithms - Calculates the number of out-of-order pairs in a sequence by extending the merge sort algorithm.
• Binary Tree Traversals - Explains binary tree post-order traversal using animation simulations of the Morris method.
• Rotated Sorted Array Search - Provides a step-by-step case analysis to find the minimum value in a rotated sorted array.
• Duplicate Element Detection - Uses hash maps and sliding window techniques to detect duplicate elements within a specific distance.
• Postfix Expression Evaluators - Computes the result of a reverse Polish notation expression by pushing and popping operands.
• Hash Function Design - Constructs mapping rules using digital analysis and division to distribute keys uniformly.
• Value Removal Algorithms - Demonstrates in-place algorithms for removing specified values from arrays using brute-force and two-pointer strategies.
• Linked Lists - Provides guides and code demonstrating how to construct, traverse, and delete nodes within linked lists.
• Element Location Strategies - Visualizes techniques for locating specific nodes, such as the middle node, using fast and slow pointers.
• Insertion Simulations - Uses animations and diagrams to show how to traverse linked lists and insert elements correctly.
• Intersection Identification - Identifies the first common node between two intersecting linked lists using dual pointers or hash sets.
• Linked List Manipulation Utilities - Illustrates the internal mechanics and pointer movements of singly, doubly, and circular linked lists.
• Linked List Sorting Algorithms - Simulates the rearrangement of elements during a linked list insertion sort through animated sequences.
• Linked List Topology Transformers - Reverses singly linked lists by modifying node directions, visualized through pointer tracking animations.
• Partitioning Algorithms - Separates linked lists into two partitions based on a value threshold while preserving relative order.
• Monotone Stack Algorithms - Identifies the next greater element in an array using monotonic stack logic and animations.
• Bubble Sorts - Explains the logic of bubble sort by comparing and swapping adjacent elements.
• Counting Sorts - Demonstrates frequency-based counting sort using animations and step-by-step guides.
• Heap Sorts - Demonstrates the process of building max-heaps to sort arrays through animations.
• Insertion Sorts - Uses animations to show elements moving from unsorted to sorted sections in insertion sort.
• Missing Positive Integer Detections - Identifies the smallest missing positive integer in unsorted arrays using in-place swapping or auxiliary storage.
• Merge Sorts - Explains the divide-and-conquer logic of merge sort using step-by-step breakdowns.
• Quick Sorts - Explains quick sort through conceptual guides and comparative analysis of partitioning strategies.
• Selection Sorts - Explains selection sort through conceptual walkthroughs, visual simulations, and complexity analysis.
• Shell Sorts - Demonstrates how shell sort organizes data through gaps using animation simulations.
• Gap Sequence Analysis - Analyzes the effects of different gap sequences, such as Shell and Sedgewick, on sorting time complexity.
• Sorted Array Searchers - Locates the first and last indices of a target value within sorted arrays using logarithmic search techniques.
• Sorting Algorithm Variants - Implements advanced quick sort techniques including three-way partitioning and median-of-three pivot selection.
• Expression Parsing - Transforms standard mathematical expressions into reverse Polish notation using stack-based traversal.
• Stack-Based String Processing - Removes adjacent duplicate characters from a string using a stack to demonstrate push and pop operations.
• Storage Tradeoff Analysis - Compares sequential array-based storage and linked pointer-based storage for binary trees.

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