Algorithmics Foundations is a comprehensive Data Structures and Algorithms learning repository designed for computer science students, software engineers, and coding interview preparation. This project provides a complete roadmap to master fundamental and advanced DSA concepts through systematic learning and practical implementation.
- Linear: Arrays, Strings, Linked Lists, Stacks, Queues
- Non-Linear: Trees, Binary Trees, BST, AVL, Graphs
- Advanced: Heaps, Hash Tables, Tries, Disjoint Sets
- Specialized: Segment Trees, Fenwick Trees, B-Trees
- Sorting: Bubble, Selection, Insertion, Merge, Quick, Heap Sort
- Searching: Linear, Binary, Ternary, Exponential Search
- Graph: BFS, DFS, Dijkstra, Floyd-Warshall, Kruskal, Prim
- Dynamic Programming: Memoization, Tabulation, Optimization
- Advanced: Backtracking, Divide & Conquer, Greedy, Branch & Bound
- 📚 36 Comprehensive Guides: Complete coverage from fundamentals to advanced topics
- 💻 Multi-Language Implementation: C++, Python, and Java solutions with detailed explanations
- 🧠 18 LeetCode Problems: Real interview questions with step-by-step solutions
- 📊 Complexity Analysis: Time and space complexity analysis for every solution
- 🔄 Structured Learning Path: Progressive difficulty from beginner to expert level
- 📖 Interview Ready: Optimized for coding interviews and competitive programming
Algorithmics-Foundations/
├── 🖼️ assets/
│ └── AlgorithmicsFoundations.png # Project banner image
│
├── 📚 concepts/ # Data Structures & Algorithms Theory (36 Guides)
│ ├── 🎯 fundamentals.md # DSA fundamentals & complexity
│ │
│ ├── 📊 DATA STRUCTURES (15 Guides)
│ ├── 🔢 arrays.md # Array operations & techniques
│ ├── 🔤 strings.md # String algorithms & processing
│ ├── 🔗 linked-lists.md # Singly, doubly, circular lists
│ ├── 📚 stacks.md # Stack implementation & applications
│ ├── 🚶 queues.md # Queue, deque, priority queue
│ ├── 🌳 trees.md # Binary trees, BST, traversals
│ ├── 🌲 advanced-trees.md # AVL, Red-Black, B-trees
│ ├── 🔴⚫ red-black-trees.md # Red-Black tree implementation & analysis
│ ├── 🕸️ graphs.md # Graph representation & algorithms
│ ├── 🔐 hashing.md # Hash tables & collision handling
│ ├── 📦 heap.md # Min/Max heap & priority queues
│ ├── 🌳 tries.md # Trie data structure & applications
│ ├── 🔗 disjoint-set-union.md # Union-Find with path compression
│ ├── 🌲 fenwick-tree.md # Binary Indexed Tree implementation
│ └── 🔗 heavy-light.md # Heavy-Light Decomposition
│ │
│ ├── ⚡ ALGORITHMS (21 Guides)
│ ├── 🔃 sorting.md # All sorting algorithms
│ ├── 🔍 searching.md # Binary, ternary, exponential search
│ ├── 🧠 dynamic-programming.md # DP patterns & optimization
│ ├── 🔁 recursion.md # Recursive problem solving
│ ├── 🔍 backtracking.md # Backtracking algorithms
│ ├── 🔪 divide-conquer.md # Divide & conquer strategy
│ ├── 🎯 greedy.md # Greedy algorithm design
│ ├── 🔢 bit-manipulation.md # Bitwise operations & tricks
│ ├── 🧮 math.md # Number theory & mathematical algorithms
│ ├── ⚡ complexity-analysis.md # Big O, Theta, Omega analysis
│ ├── ⚖️ amortized-analysis.md # Amortized complexity & performance
│ ├── 🎨 algorithm-design.md # Design techniques & paradigms
│ ├── 📌 topological-dp.md # Dynamic Programming on DAG
│ ├── 🔄 topological-sort.md # Topological sorting algorithms
│ ├── 🌿 branch-bound.md # Branch and bound optimization
│ ├── 🎲 randomized.md # Randomized algorithms
│ ├── 🔍 binary-lifting.md # Binary lifting technique
│ ├── 📊 mos-algorithm.md # Mo's algorithm for queries
│ ├── 📈 huffman.md # Huffman coding algorithm
│ └── 🧩 np-completeness.md # NP-Complete problems
│
├── 💻 leetcode-problems/ # Practical Problem Solutions (18 Problems)
│ ├── 📊 array/ (23 problems) # Array-based problems
│ │ ├── leetcode-1.cpp # Two Sum (Easy)
│ │ ├── leetcode-33.cpp # Search in Rotated Array (Medium)
│ │ ├── leetcode-34.cpp # Find First and Last Position (Medium)
│ │ ├── leetcode-35.cpp # Search Insert Position (Easy)
│ │ ├── leetcode-42.cpp # Trapping Rain Water (Hard)
│ │ ├── leetcode-48.cpp # Rotate Image (Medium)
│ │ ├── leetcode-55.cpp # Jump Game (Medium)
│ │ ├── leetcode-66.cpp # Plus One (Easy)
│ │ ├── leetcode-74.cpp # Search 2D Matrix (Medium)
│ │ ├── leetcode-75.cpp # Sort Colors (Medium)
│ │ ├── leetcode-81.cpp # Search in Rotated Sorted Array II (Medium)
│ │ ├── leetcode-85.cpp # Maximal Rectangle (Hard)
│ │ ├── leetcode-136.cpp # Single Number (Easy)
│ │ ├── leetcode-137.cpp # Single Number II (Medium)
│ │ ├── leetcode-153.cpp # Find Minimum in Rotated Sorted Array (Medium)
│ │ ├── leetcode-154.cpp # Find Minimum in Rotated Sorted Array II (Hard)
│ │ ├── leetcode-540.cpp # Single Element (Medium)
│ │ ├── leetcode-1480.cpp # Running Sum (Easy)
│ │ ├── leetcode-1752.cpp # Check if Array Is Sorted and Rotated (Easy)
│ │ ├── leetcode-2141.py # Maximum Running Time (Hard)
│ │ ├── leetcode-3507.cpp # Minimum Pair Removal to Sort Array I (Medium)
│ │ ├── leetcode-3623.java # Count Trapezoids (Medium)
│ │ └── leetcode-3625.java # Count Trapezoids II (Hard)
│ │
│ ├── 🔤 string/ (4 problems) # String manipulation problems
│ │ ├── leetcode-20.cpp # Valid Parentheses (Easy)
│ │ ├── leetcode-344.cpp # Reverse String (Easy)
│ │ ├── leetcode-2211.py # Count Collisions (Medium)
│ │ └── leetcode-3713.cpp # Longest Balanced Substring I (Medium)
│ │
│ ├── 📦 heap/ (1 problem) # Heap-based problems
│ │ └── leetcode-215.cpp # Kth Largest Element in an Array (Medium)
│ │
│ ├── 🔗 linkedlist/ (19 problems) # Linked List problems
│ │ ├── leetcode-19.cpp # Remove Nth Node From End (Medium)
│ │ ├── leetcode-21.cpp # Merge Two Sorted Lists (Easy)
│ │ ├── leetcode-24.cpp # Swap Nodes in Pairs (Medium)
│ │ ├── leetcode-61.cpp # Rotate List (Medium)
│ │ ├── leetcode-82.cpp # Remove Duplicates from Sorted List II (Medium)
│ │ ├── leetcode-83.cpp # Remove Duplicates from Sorted List (Easy)
│ │ ├── leetcode-92.cpp # Reverse Linked List II (Medium)
│ │ ├── leetcode-141.cpp # Linked List Cycle (Easy)
│ │ ├── leetcode-147.cpp # Insertion Sort List (Medium)
│ │ ├── leetcode-148.cpp # Sort List (Medium)
│ │ ├── leetcode-203.cpp # Remove Linked List Elements (Easy)
│ │ ├── leetcode-206.cpp # Reverse Linked List (Easy)
│ │ ├── leetcode-234.cpp # Palindrome Linked List (Easy)
│ │ ├── leetcode-237.cpp # Delete Node in a Linked List (Medium)
│ │ ├── leetcode-328.cpp # Odd Even Linked List (Medium)
│ │ ├── leetcode-876.cpp # Middle of the Linked List (Easy)
│ │ ├── leetcode-1721.cpp # Swapping Nodes in a Linked List (Medium)
│ │ ├── leetcode-2095.cpp # Delete the Middle Node of a Linked List (Medium)
│ │ └── leetcode-3510.cpp # Minimum Pair Removal to Sort Array II (Medium)
│ │
│ ├── 🌳 tree/ (3 problems) # Tree-based problems
│ │ ├── leetcode-110.cpp # Balanced Binary Tree (Easy)
│ │ ├── leetcode-865.cpp # Smallest Subtree with all the Deepest Nodes (Medium)
│ │ └── leetcode-3721.cpp # Longest Balanced Subarray II (Hard)
│ │
│ └── 🧮 math/ (5 problems) # Mathematical & number problems
│ ├── leetcode-7.cpp # Reverse Integer (Medium)
│ ├── leetcode-9.cpp # Palindrome Number (Easy)
│ ├── leetcode-29.cpp # Divide Two Integers (Medium)
│ ├── leetcode-202.cpp # Happy Number (Easy)
│ └── leetcode-1492.cpp # Kth Factor (Medium)
│
├── 📚 references/ # Learning Resources & References
│ └── learning-resources.md # Curated books, courses, websites
│
├── 📄 LICENSE # MIT License
├── 📖 README.md # Project documentation
└── 🚀 .gitignore # Git ignore rules
| Technology | Purpose | Advantages |
|---|---|---|
| C++ | High-performance algorithm implementation | Fast execution, memory control, STL library |
| Python | Rapid prototyping and algorithm visualization | Clean syntax, built-in data structures, easy debugging |
| Java | Object-oriented problem solving | Platform independent, strong typing, extensive libraries |
| Markdown | Comprehensive documentation | Easy formatting, version control friendly |
| Git | Version control and progress tracking | Organized learning history, backup |
- C++ Compiler (GCC/Clang)
- Python 3.8+
- Java 8+
- Code Editor (VS Code recommended)
# Clone repository
git clone https://github.com/AbhishekGiri04/Algorithmics-Foundations.git
cd Algorithmics-Foundations
# Explore Data Structures concepts
cd concepts
ls arrays.md trees.md graphs.md
# Practice Algorithm problems
cd ../leetcode-problems
find . -name "leetcode-*.cpp" -o -name "leetcode-*.py" -o -name "leetcode-*.java"- Data Structures: Arrays, Strings, Linked Lists, Stacks, Queues
- Algorithms: Basic sorting, linear search, recursion fundamentals
- Practice: 5+ easy LeetCode problems per topic
- Goal: Build strong foundation and problem-solving intuition
- Data Structures: Trees, Binary Search Trees, Hash Tables, Heaps
- Algorithms: Binary search, tree traversals, basic dynamic programming
- Practice: 3+ medium LeetCode problems per topic
- Goal: Understand complex data structures and their applications
- Data Structures: Graphs, Tries, Advanced Trees (AVL, Red-Black)
- Algorithms: Graph algorithms, advanced DP, backtracking
- Practice: 2+ hard LeetCode problems per topic
- Goal: Master advanced concepts for interviews and competitions
- Advanced Topics: Segment trees, network flow, string algorithms
- Optimization: Time/space complexity optimization techniques
- Practice: Mixed difficulty problems, mock interviews
- Goal: Interview readiness and competitive programming skills
- ✅ Study Data Structure/Algorithm concept (30-45 min)
- ✅ Implement from scratch in chosen language (30 min)
- ✅ Solve related LeetCode problems (45-60 min)
- ✅ Analyze time/space complexity (15 min)
- ✅ Document learnings and optimizations (15 min)
- ✅ Review and compare different approaches (15 min)
- Understand the problem thoroughly
- Identify required data structure/algorithm
- Design the solution approach
- Implement with clean, readable code
- Test with multiple test cases
- Optimize for better complexity
- Document solution and complexity
| 🎯 Feature | 📊 Details | 🚀 Benefit |
|---|---|---|
| 📚 36 Complete Guides | Fundamentals to advanced topics | Comprehensive DSA mastery |
| 💻 Multi-Language Solutions | C++, Python, Java implementations | Language flexibility & comparison |
| 🧠 18 LeetCode Problems | Easy to Hard difficulty levels | Interview preparation |
| 📊 Complexity Analysis | Time & space analysis for every solution | Optimization skills |
| 🔄 Progressive Learning | Structured 12-week roadmap | Systematic skill development |
| 📖 Interview Focus | Real coding interview questions | Job readiness |
| 🎯 Practical Examples | Working code with test cases | Hands-on learning |
| 📚 Theory + Practice | Concepts + implementation | Complete understanding |
After completing this program, you will:
✅ Master Core Data Structures: Arrays, Lists, Trees, Graphs, Hash Tables
✅ Implement Key Algorithms: Sorting, searching, graph traversal, dynamic programming
✅ Analyze Complexity: Big O notation, time/space optimization
✅ Solve Interview Problems: LeetCode easy to hard level questions
✅ Code in Multiple Languages: C++, Python, Java proficiency
✅ Design Efficient Solutions: Algorithm design and optimization techniques
✅ Handle Edge Cases: Robust problem-solving and debugging skills
✅ Prepare for Interviews: Technical interview confidence and skills
👤 Abhishek Giri
🎯 Your Complete Data Structures & Algorithms Journey
From Fundamentals to Mastery • Theory to Practice • Learning to Success
⭐ Star this repository if it helps your DSA journey!
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