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12 changes: 6 additions & 6 deletions Arrays/README.md
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Expand Up @@ -4,10 +4,10 @@ This directory contains Python implementations of common array-based algorithms

## Contents

- [Anagram Check (Sorted Solution)](Anagram_Check_Sorted_Sol.py): Checks if two strings are anagrams by comparing their sorted versions.
- [Anagram Check (Manual Solution)](Anagram_Check_manual_Sol.py): Checks if two strings are anagrams using a hash table (dictionary) to count character frequencies.
- [Array Find Missing Element (XOR Solution)](ArrayFindTheMissingElement_XOR_sol.py): Efficiently finds a missing element in a shuffled array using bitwise XOR.
- [Array Find Missing Element (Brute Force Solution)](ArrayFindTheMissingElement_brute_force_sol.py): Finds a missing element by sorting both arrays and comparing them.
- [Array Find Missing Element (Hash Table Solution)](ArrayFindTheMissingElement_hash_table_sol.py): Finds a missing element using a hash table (dictionary) to track element counts.
- [Array Find Missing Element (Sum/Subtract Solution)](ArrayFindTheMissingElement_takingSumandSubtract_sol.py): Finds a missing element by calculating the difference between the sums of the two arrays.
- [Anagram Check (Sorted Solution)](AnagramCheckSortedSol.py): Checks if two strings are anagrams by comparing their sorted versions.
- [Anagram Check (Manual Solution)](AnagramCheckManualSol.py): Checks if two strings are anagrams using a hash table (dictionary) to count character frequencies.
- [Array Find Missing Element (XOR Solution)](ArrayFindTheMissingElementXORSol.py): Efficiently finds a missing element in a shuffled array using bitwise XOR.
- [Array Find Missing Element (Brute Force Solution)](ArrayFindTheMissingElementBruteForceSol.py): Finds a missing element by sorting both arrays and comparing them.
- [Array Find Missing Element (Hash Table Solution)](ArrayFindTheMissingElementHashTableSol.py): Finds a missing element using a hash table (dictionary) to track element counts.
- [Array Find Missing Element (Sum/Subtract Solution)](ArrayFindTheMissingElementSumSol.py): Finds a missing element by calculating the difference between the sums of the two arrays.
- [Array Pair Sum Solution](ArrayPairSumSol.py): Finds all unique pairs in an array that sum up to a specific value $k$ using a set for $O(n)$ complexity.
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2 changes: 1 addition & 1 deletion deque/README.md → Deque/README.md
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Expand Up @@ -4,4 +4,4 @@ This directory contains Python implementations of the Deque (Double-Ended Queue)

## Contents

- [Deque Implementation](DequeImple.py): Basic implementation of a Deque using a Python list. Includes operations like `addFront`, `addRear`, `removeFront`, `removeRear`, `isEmpty`, and `size`.
- [Deque Implementation](DequeImple.py): Basic implementation of a Deque using a Python list.
7 changes: 0 additions & 7 deletions Error-debug/README.md

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7 changes: 7 additions & 0 deletions ErrorHandling/README.md
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# Error Handling

This directory contains examples of error handling and debugging in Python.

## Contents

- [Error and Exceptions](ErrorExceptions.py): Demonstrates `try`, `except`, `else`, and `finally` blocks for robust error handling.
14 changes: 7 additions & 7 deletions GraphAlgorithms/README.md
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# Graph Algorithms

This directory contains Python implementations of common graph-based algorithms and data structures.
This directory contains Python implementations of graph-based algorithms and data structures.

## Contents

- [Adjacency List Implementation](AdjacencyListGraphImple.py): Implements the Graph Abstract Data Type (ADT) using an adjacency list (dictionaries in Python). Includes `Vertex` and `Graph` classes.
- [Breadth First Search (BFS)](BFS.py): Implements BFS to solve the Word Ladder problem, finding the shortest transformation path between words.
- [General Depth First Search (DFS)](DFSGeneral.py): Provides a general implementation of DFS, including discovery and finish times for vertices.
- [DFS - Knight's Tour Problem](DFSImpleTheKnightsTourProblem.py): Another implementation of DFS specifically tailored to the Knight's Tour puzzle.
- [The Knight's Tour Problem](TheKnightsTourProblem.py): Focuses on generating the knight's move graph and solving the tour using DFS and backtracking.
- [Word Ladder Problem](WordLadderProblem.py): Specifically focuses on building the word ladder graph where edges connect words that differ by only one letter.
- [Adjacency List Graph](AdjacencyListGraphImple.py): Implementation of the Graph Abstract Data Type (ADT) using an adjacency list.
- [Breadth First Search (BFS)](BFS.py): Implementation of BFS to solve the Word Ladder problem.
- [Depth First Search (DFS)](DFSGeneral.py): General implementation of the DFS algorithm.
- [The Knight's Tour Problem (Graph Generation)](TheKnightsTourProblem.py): Generating a graph of legal moves for a knight on a chessboard.
- [The Knight's Tour Problem (DFS Solution)](DFSImpleTheKnightsTourProblem.py): Solving the Knight's Tour problem using DFS.
- [Word Ladder Problem](WordLadderProblem.py): Building the word ladder graph and finding paths between words.
12 changes: 6 additions & 6 deletions LinkedLists/README.md
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@@ -1,11 +1,11 @@
# Linked Lists

This directory contains Python implementations of various types of linked lists and related algorithms.
This directory contains Python implementations of Singly and Doubly Linked Lists and related problems.

## Contents

- [Singly Linked List Implementation](SingleLinkedListImple.py): Basic implementation of a singly linked list node and basic linkage.
- [Doubly Linked List Implementation](DoublyLinkedListImple.py): Basic implementation of a doubly linked list node with `prev` and `next` pointers.
- [Singly Linked List Cycle Check](SinglyLinkedListCycleCheckImple.py): Implements Floyd's Cycle-Finding Algorithm (two pointers) to detect cycles in a linked list.
- [Linked List Reversal](LinkedListReversal.py): Reverses a singly linked list in-place in $O(n)$ time.
- [Nth to Last Node](LinkedListNthToLastNode.py): Finds the $n$-th to last node in a singly linked list using two pointers.
- [Singly Linked List Implementation](SingleLinkedListImple.py): Basic operations for a Singly Linked List.
- [Doubly Linked List Implementation](DoublyLinkedListImple.py): Basic operations for a Doubly Linked List.
- [Singly Linked List Cycle Check](SinglyLinkedListCycleCheckImple.py): Implementation of Floyd's Cycle-Finding algorithm ($O(n)$ time, $O(1)$ space).
- [Linked List Reversal](LinkedListReversal.py): In-place reversal of a Singly Linked List.
- [Linked List N-th to Last Node](LinkedListNthToLastNode.py): Finding the $n$-th node from the end of a Singly Linked List.
4 changes: 2 additions & 2 deletions Queues/README.md
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Expand Up @@ -4,5 +4,5 @@ This directory contains Python implementations of the Queue data structure.

## Contents

- [Queue Implementation](QueueImple.py): Basic implementation of a FIFO (First-In-First-Out) queue using a Python list. Includes `enqueue`, `dequeue`, `isEmpty`, and `size` methods.
- [Queue with Two Stacks](QueueWith2StacksImple.py): Implements a queue using two stacks (represented by Python lists) to achieve FIFO behavior.
- [Queue Implementation](QueueImple.py): Basic implementation of a Queue using a Python list.
- [Queue with Two Stacks](QueueWith2StacksImple.py): Implementation of a Queue using two Stacks.
68 changes: 34 additions & 34 deletions README.md
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Expand Up @@ -35,23 +35,23 @@ See [CONTRIBUTING.md](CONTRIBUTING.md) for more details.

## 📖 Table of Contents

- [Getting Started](#getting-started)
- [Project Structure](#project-structure)
- [Data Structures](#data-structures)
- [Arrays](#arrays)
- [Linked Lists](#linked-lists)
- [Stacks](#stacks)
- [Queues](#queues)
- [Deque](#deque)
- [Trees](#trees)
- [Algorithms](#algorithms)
- [Sorting](#sorting)
- [Recursion & Dynamic Programming](#recursion--dynamic-programming)
- [Graph Algorithms](#graph-algorithms)
- [Error Handling & Debugging](#error-handling--debugging)
- [Usage](#usage)
- [Quick Reference](#quick-reference)
- [License](#license)
- [Getting Started](#-getting-started)
- [Project Structure](#-project-structure)
- [Data Structures](#-data-structures)
- [Arrays](#arrays-)
- [Linked Lists](#linked-lists-)
- [Stacks](#stacks-)
- [Queues](#queues-)
- [Deque](#deque-)
- [Trees](#trees-)
- [Algorithms](#-algorithms)
- [Sorting](#sorting-)
- [Recursion & Dynamic Programming](#recursion--dynamic-programming-)
- [Graph Algorithms](#graph-algorithms-)
- [Error Handling & Debugging](#-error-handling--debugging)
- [Usage](#-usage)
- [Quick Reference](#-quick-reference)
- [License](#-license)

---

Expand All @@ -67,7 +67,7 @@ Most scripts in this repository are standalone and can be executed directly:

```bash
# Run any Python script
python3 Arrays/Anagram_Check_Sorted_Sol.py
python3 Arrays/AnagramCheckSortedSol.py

# Or run from the repo root
python3 Sorting/BubbleSortImple.py
Expand All @@ -80,15 +80,15 @@ python3 Sorting/BubbleSortImple.py
```
.
├── Arrays/ # 🔤 Array-based problems and algorithms
├── Error-debug/ # ⚠️ Error handling and debugging examples
├── ErrorHandling/ # ⚠️ Error handling and debugging examples
├── GraphAlgorithms/ # 🗺️ Graph traversal (BFS, DFS) and pathfinding
├── LinkedLists/ # 🔗 Singly and Doubly Linked Lists
├── Queues/ # 📦 Queue implementations (FIFO)
├── Recursion/ # 🔀 Recursive problems and Dynamic Programming
├── Sorting/ # 📊 Common sorting algorithms
├── Stacks/ # 📚 Stack implementations and applications
├── Trees/ # 🌳 Binary Trees, BSTs, Heaps, and Traversals
├── deque/ # 🔄 Double-ended queue
├── Deque/ # 🔄 Double-ended queue
├── CONTRIBUTING.md # 🤝 Contribution guidelines
├── LICENSE # 📄 MIT License
└── README.md # 📖 This file
Expand All @@ -100,13 +100,13 @@ python3 Sorting/BubbleSortImple.py

### Arrays 🔤
Common array-based algorithms and manipulations.
- [Anagram Check](Arrays/): [Sorted](Arrays/Anagram_Check_Sorted_Sol.py) & [Manual](Arrays/Anagram_Check_manual_Sol.py) solutions
- [Anagram Check](Arrays/): [Sorted](Arrays/AnagramCheckSortedSol.py) and [Manual](Arrays/AnagramCheckManualSol.py) solutions
- [Array Pair Sum](Arrays/ArrayPairSumSol.py): Find pairs that sum to $k$
- [Find Missing Element](Arrays/): [XOR](Arrays/ArrayFindTheMissingElement_XOR_sol.py), [Brute Force](Arrays/ArrayFindTheMissingElement_brute_force_sol.py), [Hash Table](Arrays/ArrayFindTheMissingElement_hash_table_sol.py), & [Sum](Arrays/ArrayFindTheMissingElement_takingSumandSubtract_sol.py) approaches
- [Find Missing Element](Arrays/): [XOR](Arrays/ArrayFindTheMissingElementXORSol.py), [Brute Force](Arrays/ArrayFindTheMissingElementBruteForceSol.py), [Hash Table](Arrays/ArrayFindTheMissingElementHashTableSol.py), and [Sum](Arrays/ArrayFindTheMissingElementSumSol.py) approaches

### Linked Lists 🔗
Implementations and problems involving linked structures.
- [Singly Linked List](LinkedLists/SingleLinkedListImple.py) & [Doubly Linked List](LinkedLists/DoublyLinkedListImple.py)
- [Singly Linked List](LinkedLists/SingleLinkedListImple.py) and [Doubly Linked List](LinkedLists/DoublyLinkedListImple.py)
- [Cycle Detection](LinkedLists/SinglyLinkedListCycleCheckImple.py): Detect cycles using two pointers (Floyd's algorithm)
- [Reverse Linked List](LinkedLists/LinkedListReversal.py): In-place reversal
- [Nth to Last Node](LinkedLists/LinkedListNthToLastNode.py): Find the $n$-th node from the end
Expand All @@ -123,17 +123,17 @@ FIFO (First-In-First-Out) data structures.

### Deque 🔄
Double-ended queue operations.
- [Deque Implementation](deque/DequeImple.py): Operations at both ends
- [Deque Implementation](Deque/DequeImple.py): Operations at both ends

### Trees 🌳
Hierarchical data structures.
- [Binary Search Tree](Trees/BinarySearchTreesImple.py): Complete BST implementation
- [BST Validation](Trees/): [Solution 1 (In-order)](Trees/BinarySearchTreeCheckImpleSol1.py) & [Solution 2 (Range check)](Trees/BinarySearchTreeCheckImpleSol2.py)
- [Binary Search](Trees/): [Iterative](Trees/BinarySearchImple.py) & [Recursive](Trees/BinarySearchRecursiveImple.py)
- [BST Validation](Trees/): [Solution 1 (In-order)](Trees/BinarySearchTreeCheckImpleSol1.py) and [Solution 2 (Range check)](Trees/BinarySearchTreeCheckImpleSol2.py)
- [Binary Search](Trees/): [Iterative](Trees/BinarySearchImple.py) and [Recursive](Trees/BinarySearchRecursiveImple.py)
- [Binary Heap](Trees/BinaryHeapImple.py): Min-heap implementation
- [Tree Traversals](Trees/TreeLevelOrderPrintImple.py): Level order (BFS) printing
- [Trim BST](Trees/TrimBinarySearchTreeImple.py): Keep nodes within a range
- [Tree Representations](Trees/): [Nodes & References](Trees/TreeRepresentationWithNodesReferences.py) & [List of Lists](Trees/buildTreeTest.py)
- [Tree Representations](Trees/): [Nodes & References](Trees/TreeRepresentationWithNodesReferences.py) and [List of Lists](Trees/BuildTreeTest.py)

---

Expand All @@ -144,31 +144,31 @@ Algorithms for arranging elements in order.
- [Bubble Sort](Sorting/BubbleSortImple.py) - $O(n^2)$
- [Selection Sort](Sorting/SelectionSortImple.py) - $O(n^2)$
- [Insertion Sort](Sorting/InsertionSortImple.py) - $O(n^2)$
- [Shell Sort](Sorting/ShellSortImple.py) - $O(n \log n)$
- [Shell Sort](Sorting/ShellSortImple.py) - $O(n^2)$
- [Merge Sort](Sorting/MergeSortImple.py) - $O(n \log n)$
- [Quick Sort](Sorting/QuickSortImple.py) - $O(n \log n)$ average

### Recursion & Dynamic Programming 🔀
Solving problems by breaking them into smaller sub-problems.
- [Fibonacci Sequence](Recursion/): [Iterative](Recursion/FibonacciSeqIterative.py), [Recursive](Recursion/FibonacciSeqRecursion.py), & [Dynamic Programming](Recursion/FibonacciSeqDynamic.py)
- [Coin Change Problem](Recursion/): [Recursive](Recursion/CoinChangeProblemRecursion.py) & [Dynamic Programming](Recursion/CoinChangeProblemDynamic.py)
- [String Operations](Recursion/): [Reverse](Recursion/RecursionReverseStr.py) & [Permutations](Recursion/RecursionStrPermutation.py)
- [Math Operations](Recursion/): [Cumulative Sum](Recursion/RecursionCumulativeSum.py) & [Sum of Digits](Recursion/RecursionSumOfDigits.py)
- [Fibonacci Sequence](Recursion/): [Iterative](Recursion/FibonacciSeqIterative.py), [Recursive](Recursion/FibonacciSeqRecursion.py), and [Dynamic Programming](Recursion/FibonacciSeqDynamic.py)
- [Coin Change Problem](Recursion/): [Recursive](Recursion/CoinChangeProblemRecursion.py) and [Dynamic Programming](Recursion/CoinChangeProblemDynamic.py)
- [String Operations](Recursion/): [Reverse](Recursion/RecursionReverseStr.py) and [Permutations](Recursion/RecursionStrPermutation.py)
- [Math Operations](Recursion/): [Cumulative Sum](Recursion/RecursionCumulativeSum.py) and [Sum of Digits](Recursion/RecursionSumOfDigits.py)
- [Word Split](Recursion/RecursionWordSplit.py): Dynamic Programming solution

### Graph Algorithms 🗺️
Algorithms for graph traversal and pathfinding.
- [Adjacency List](GraphAlgorithms/AdjacencyListGraphImple.py): Graph ADT implementation
- [Breadth First Search (BFS)](GraphAlgorithms/BFS.py): Word Ladder problem
- [Depth First Search (DFS)](GraphAlgorithms/DFSGeneral.py): General DFS implementation
- [Knight's Tour Problem](GraphAlgorithms/): [Graph Generation](GraphAlgorithms/TheKnightsTourProblem.py) & [DFS Solution](GraphAlgorithms/DFSImpleTheKnightsTourProblem.py)
- [Knight's Tour Problem](GraphAlgorithms/): [Graph Generation](GraphAlgorithms/TheKnightsTourProblem.py) and [DFS Solution](GraphAlgorithms/DFSImpleTheKnightsTourProblem.py)
- [Word Ladder Problem](GraphAlgorithms/WordLadderProblem.py): Building the word ladder graph

---

## ⚠️ Error Handling & Debugging

- [Error and Exceptions](Error-debug/ErrorExceptions.py): Demonstrates `try`, `except`, `else`, and `finally` blocks for robust error handling.
- [Error and Exceptions](ErrorHandling/ErrorExceptions.py): Demonstrates `try`, `except`, `else`, and `finally` blocks for robust error handling.

---

Expand Down
27 changes: 11 additions & 16 deletions Recursion/README.md
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# Recursion
# Recursion and Dynamic Programming

This directory contains Python implementations of problems solved using recursion and dynamic programming.

## Contents

### Fibonacci Sequence
- [Fibonacci (Iterative)](FibonacciSeqIterative.py): Iterative implementation of the Fibonacci sequence.
- [Fibonacci (Recursive)](FibonacciSeqRecursion.py): Simple recursive implementation of the Fibonacci sequence.
- [Fibonacci (Dynamic Programming)](FibonacciSeqDynamic.py): Optimized Fibonacci sequence using memoization.

### Coin Change Problem
- [Coin Change (Recursive)](CoinChangeProblemRecursion.py): Basic recursive solution to find the minimum number of coins for change.
- [Coin Change (Dynamic Programming)](CoinChangeProblemDynamic.py): Optimized solution to the coin change problem using dynamic programming.

### Other Recursive Problems
- [Cumulative Sum](RecursionCumulativeSum.py): Computes the cumulative sum from 0 to $n$ recursively.
- [Reverse a String](RecursionReverseStr.py): Reverses a string using recursive calls.
- [String Permutations](RecursionStrPermutation.py): Generates all possible permutations of a given string.
- [Sum of Digits](RecursionSumOfDigits.py): Calculates the sum of all individual digits in an integer recursively.
- [Word Split](RecursionWordSplit.py): Determines if a string can be split into words from a given list.
- [Fibonacci Sequence (Iterative)](FibonacciSeqIterative.py): Iterative implementation of the Fibonacci sequence.
- [Fibonacci Sequence (Recursive)](FibonacciSeqRecursion.py): Recursive implementation of the Fibonacci sequence.
- [Fibonacci Sequence (Dynamic Programming)](FibonacciSeqDynamic.py): Optimized Fibonacci sequence using memoization.
- [Coin Change Problem (Recursive)](CoinChangeProblemRecursion.py): Recursive solution for the coin change problem.
- [Coin Change Problem (Dynamic Programming)](CoinChangeProblemDynamic.py): Optimized dynamic programming solution for the coin change problem.
- [Recursion Reverse String](RecursionReverseStr.py): Reversing a string using recursion.
- [Recursion String Permutation](RecursionStrPermutation.py): Generating all permutations of a string.
- [Recursion Cumulative Sum](RecursionCumulativeSum.py): Calculating the cumulative sum using recursion.
- [Recursion Sum of Digits](RecursionSumOfDigits.py): Calculating the sum of digits of a number using recursion.
- [Recursion Word Split](RecursionWordSplit.py): Splitting a string into words based on a dictionary using recursion and dynamic programming.
8 changes: 4 additions & 4 deletions Sorting/README.md
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Expand Up @@ -5,8 +5,8 @@ This directory contains Python implementations of various sorting algorithms wit
## Contents

- [Bubble Sort](BubbleSortImple.py): Implementation of Bubble Sort with $O(n^2)$ complexity.
- [Selection Sort](SelectionSortImple.py): Implementation of Selection Sort, improving on Bubble Sort by making only one exchange per pass.
- [Insertion Sort](InsertionSortImple.py): Implementation of Insertion Sort, maintaining a sorted sublist.
- [Shell Sort](ShellSortImple.py): Implementation of Shell Sort (diminishing increment sort), improving on Insertion Sort.
- [Selection Sort](SelectionSortImple.py): Implementation of Selection Sort with $O(n^2)$ complexity.
- [Insertion Sort](InsertionSortImple.py): Implementation of Insertion Sort with $O(n^2)$ complexity.
- [Shell Sort](ShellSortImple.py): Implementation of Shell Sort with $O(n^2)$ complexity.
- [Merge Sort](MergeSortImple.py): A recursive "divide and conquer" algorithm with $O(n \log n)$ complexity.
- [Quick Sort](QuickSortImple.py): Implementation of Quick Sort (partition exchange sort), using divide and conquer in-place.
- [Quick Sort](QuickSortImple.py): Implementation of Quick Sort with $O(n \log n)$ average complexity.
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