Comprehensive 𝗚𝘂𝗶𝗱𝗲 𝘁𝗼 𝗦𝘁𝗮𝗰𝗸 𝗗𝗮𝘁𝗮 𝗦𝘁𝗿𝘂𝗰𝘁𝘂𝗿𝗲: 𝗜𝗺𝗽𝗹𝗲𝗺𝗲𝗻𝘁𝗮𝘁𝗶𝗼𝗻, 𝗢𝗽𝗲𝗿𝗮𝘁𝗶𝗼𝗻𝘀, 𝗮𝗻𝗱 𝗣𝗿𝗼𝗯𝗹𝗲𝗺-𝗦𝗼𝗹𝘃𝗶𝗻𝗴

𝗖𝗼𝗺𝗽𝗿𝗲𝗵𝗲𝗻𝘀𝗶𝘃𝗲 𝗚𝘂𝗶𝗱𝗲 𝘁𝗼 𝗦𝘁𝗮𝗰𝗸 𝗗𝗮𝘁𝗮 𝗦𝘁𝗿𝘂𝗰𝘁𝘂𝗿𝗲: 𝗜𝗺𝗽𝗹𝗲𝗺𝗲𝗻𝘁𝗮𝘁𝗶𝗼𝗻, 𝗢𝗽𝗲𝗿𝗮𝘁𝗶𝗼𝗻𝘀, 𝗮𝗻𝗱 𝗣𝗿𝗼𝗯𝗹𝗲𝗺-𝗦𝗼𝗹𝘃𝗶𝗻𝗴

𝟭. 𝗦𝘁𝗮𝗰𝗸 𝗕𝗮𝘀𝗶𝗰𝘀

• Implementing a Stack Using Arrays
• Implementing a Stack Using Linked Lists
• Implementing a Stack Using Two Queues
• Implementing a Stack Using a Single Queue
• Stack Operations (Push, Pop, Peek)
• Implementing a Min Stack (Get Minimum in O(1) Time)
• Implementing a Max Stack (Get Maximum in O(1) Time)
• Implementing a Stack Using Two Stacks
• Implementing a Stack Using Recursion
• Stack Implementation Using Dynamic Arrays

𝟮. 𝗜𝗻𝗳𝗶𝘅, 𝗣𝗿𝗲𝗳𝗶𝘅, 𝗮𝗻𝗱 𝗣𝗼𝘀𝘁𝗳𝗶𝘅 𝗘𝘅𝗽𝗿𝗲𝘀𝘀𝗶𝗼𝗻𝘀

• Converting Infix to Postfix
• Converting Infix to Prefix
• Converting Postfix to Infix
• Converting Prefix to Infix
• Evaluating a Postfix Expression
• Evaluating a Prefix Expression
• Validating an Infix Expression
• Parenthesis Matching (Balanced Parentheses)
• Implementing the Shunting Yard Algorithm for Expression Parsing
• Converting Infix to Postfix with Associativity and Precedence Handling

𝟯. 𝗔𝗱𝘃𝗮𝗻𝗰𝗲𝗱 𝗦𝘁𝗮𝗰𝗸 𝗢𝗽𝗲𝗿𝗮𝘁𝗶𝗼𝗻𝘀

• Design a Stack that Supports GetMin, GetMax, and GetMedian
• Implementing a Two-Stack Queue
• Design a Stack with Increment Operation
• Implementing a Stack Using Deque
• Implementing Special Stack Operations (Double Push, Double Pop)
• Building a Stack from Scratch Without Using Built-In Data Structures
• Implement a Stack with Dynamic Resizing
• Implement a Stack That Supports Middle Element Access
• Implement Stack Sorting Using Recursion
• Implement a Custom Stack with Customized Push/Pop Rules

𝟰. 𝗦𝘁𝗮𝗰𝗸-𝗕𝗮𝘀𝗲𝗱 𝗣𝗿𝗼𝗯𝗹𝗲𝗺-𝗦𝗼𝗹𝘃𝗶𝗻𝗴

• Next Greater Element to the Right
• Next Greater Element to the Left
• Next Smaller Element to the Right
• Next Smaller Element to the Left
• Stock Span Problem
• Largest Rectangle in Histogram
• Trapping Rain Water Problem
• Simplify Directory Path (Unix Style Path Simplification)
• Evaluate Reverse Polish Notation
• Validating Stack Sequences

𝟱. 𝗦𝘁𝗮𝗰𝗸 𝗮𝗻𝗱 𝗥𝗲𝗰𝘂𝗿𝘀𝗶𝗼𝗻

• Reverse a Stack Using Recursion
• Sort a Stack Using Recursion
• Insert an Element at the Bottom of a Stack Using Recursion
• Finding Maximum Depth of Nested Parentheses
• Decode a String with Nested Patterns (e.g., "3[a2[c]]" → "accaccacc")
• Removing K Digits to Get the Smallest Number
• Checking Redundant Parentheses in an Expression
• Flattening Nested Lists (Nested List Weight Sum)
• Recursive Depth Calculation Using Stack
• Implement an Algorithm for the Nearest Smaller Values (Monotonic Stack)

𝟲. 𝗦𝘁𝗮𝗰𝗸 𝗩𝗮𝗿𝗶𝗮𝘁𝗶𝗼𝗻𝘀 𝗮𝗻𝗱 𝗨𝘀𝗲 𝗖𝗮𝘀𝗲𝘀

• Implement a Circular Stack
• Implement a Bounded Stack with Capacity Limits
• Design a Stack That Can Support Multiple Data Types
• Implement a Thread-Safe Stack (Using Synchronization Primitives)
• Using a Stack to Implement Undo/Redo Operations
• Browser Back/Forward Navigation Using Two Stacks
• Stack-Based String Reversal
• Stack-Based Arithmetic Expression Evaluation (Supporting Multiple Operators)
• Implement a Stack with Maximum Stack Size for Efficient Memory Management
• Using Stacks to Evaluate Mathematical Expressions with Variables

𝟳. 𝗦𝘁𝗮𝗰𝗸-𝗕𝗮𝘀𝗲𝗱 𝗔𝗹𝗴𝗼𝗿𝗶𝘁𝗵𝗺 𝗖𝗵𝗮𝗹𝗹𝗲𝗻𝗴𝗲𝘀

• Finding the Longest Valid Parentheses Substring
• Maximum Area Rectangle in a Binary Matrix Using Stack
• Design a Stack That Supports Random Access
• Sort a Stack Using Iterative Approach
• Design a Stack-Based Cache with Least Recently Used (LRU) Functionality
• Implement an Expression Evaluator with Nested Function Calls Using Stacks
• Finding the Nearest Smaller Element Using a Monotonic Stack
• Using a Stack to Detect Palindromes (String or Number)
• Merge Intervals Using a Stack
• Evaluate Complex Arithmetic Expressions with Parentheses and Nested Functions

𝟴. 𝗦𝘁𝗮𝗰𝗸 𝗢𝗽𝘁𝗶𝗺𝗶𝘇𝗮𝘁𝗶𝗼𝗻 𝗮𝗻𝗱 𝗖𝗼𝗺𝗽𝗹𝗲𝘅𝗶𝘁𝘆 𝗔𝗻𝗮𝗹𝘆𝘀𝗶𝘀

• Optimizing Stack Operations for Space Efficiency
• Time Complexity Analysis of Stack Operations in Different Implementations
• Analyzing the Impact of Dynamic Resizing on Stack Performance
• Space Complexity Analysis of Recursive Stack-Based Algorithms
• Reducing Stack Overflows by Optimizing Recursive Depths
• Balancing Memory and Performance in Stack-Based Applications

𝟵. 𝗔𝗽𝗽𝗹𝗶𝗰𝗮𝘁𝗶𝗼𝗻 𝗼𝗳 𝗦𝘁𝗮𝗰𝗸𝘀 𝗶𝗻 𝗥𝗲𝗮𝗹-𝗪𝗼𝗿𝗹𝗱 𝗣𝗿𝗼𝗯𝗹𝗲𝗺𝘀

• Using a Stack for Depth-First Search (DFS) in Graph Traversal
• Implementing Backtracking Algorithms Using a Stack
• Text Editor Cursor Movement Simulation Using a Stack
• Memory Management Techniques Using Stacks (Call Stack in Function Calls)
• Implementing Parantheses Checker for Code Compilation
• Using Stacks for Maze Solving Algorithms
• Real-Time Parsing of Mathematical Expressions Using Stacks
• Implementing Undo/Redo Functionality in a Text Editor Using Two Stacks
• Stack-Based Parsing of HTML/XML

𝟭𝟬. 𝗖𝗼𝗺𝗽𝗲𝘁𝗶𝘁𝗶𝘃𝗲 𝗣𝗿𝗼𝗴𝗿𝗮𝗺𝗺𝗶𝗻𝗴 𝗮𝗻𝗱 𝗜𝗻𝘁𝗲𝗿𝘃𝗶𝗲𝘄 𝗣𝗿𝗼𝗯𝗹𝗲𝗺𝘀 𝘄𝗶𝘁𝗵 𝗦𝘁𝗮𝗰𝗸𝘀

• Implementing a Stack-Based Algorithm for Largest Rectangle in Histogram with Time Complexity Optimization
• Solving LeetCode’s “Daily Temperatures” Using a Stack
• Using Stacks for Dynamic Programming Problems (e.g., Longest Increasing Subsequence)
• Stack-Based Algorithms for Dynamic Range Queries in Arrays
• Implementing Sliding Window Maximum Using Stack and Deque
• Efficiently Finding Maximum Rectangles in Binary Matrices Using Stacks
• Using a Stack for Validating Nested Data Structures (JSON, XML)
• Implementing a Stack-Based Approach for Finding Longest Balanced Substring
• Stack-Based Techniques for Handling Collisions in Data Structures
• Using Stacks to Solve Problems on Contiguous Subarrays with Maximum Sum

These additional topics provide a wider perspective on how stacks can be used, optimized, and applied in various scenarios. They are useful for competitive programming, coding interviews, and deepening your understanding of stack-based solutions.

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