🧠 DSA Mastery – Complete Roadmap

Welcome to DSA Mastery, a single-stop, self-contained repository for mastering Data Structures and Algorithms — from the absolute basics to the most advanced problems asked in top interviews.

This repo is structured topic-wise (each topic has its own detailed .md file) covering concepts, must-solve problems, patterns, study plans, and progress checklists.

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🚀 Repository Overview

#	Topic	File	Description
1	🧩 Arrays	arrays.md	Core problems: largest element, Kadane’s algorithm, subarrays, permutations, prefix-sum logic
2	🔗 Linked List	linked_list.md	Singly/Doubly Linked Lists, reversal, loop detection, merge, clone, flatten
3	🧱 Stack & Queue	stack_queues.md	Implementations, monotonic stack, next greater/smaller, LRU/LFU cache
4	⚡ Bit Manipulation	bit-manipulation.md	Power of two, set bits, XOR tricks, binary exponentiation, sieve
5	🔁 Two Pointer & Sliding Window	two_pointer_sliding_window.md	Substring, subarray, k distinct elements, window optimizations
6	🌳 Trees	trees.md	Traversals, recursion, BST, binary tree logic, properties
7	🔤 Tries & Strings	tries_strings.md	Trie, prefix search, KMP, Z-function, palindrome, string parsing
8	📈 Dynamic Programming (DP)	dp.md	Recursion → Memoization → Tabulation → Space Optimization
9	🌐 Graphs	graph.md	BFS, DFS, Topological Sort, Shortest Path, MST, DSU, Tarjan/Kosaraju

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🧭 Learning Flow

Each .md file is designed to act as a self-contained roadmap for its topic:

• 🧠 Concept explanations
• 🧩 Problem list (from basic → advanced)
• 🗂️ Categorized patterns
• ⚙️ Time/Space insights
• ✅ Progress tracker checkboxes
• 🗓️ Study plan (3–7 weeks)

Start anywhere — or follow this recommended learning sequence 👇

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📆 Recommended Study Order

Phase	Topics	Focus Area
Phase 1	Arrays, Linked List	Foundation of DSA & pointer logic
Phase 2	Stack, Queue, Sliding Window	Monotonic logic, windows, greedy patterns
Phase 3	Bit Manipulation, Trees, Tries/Strings	Math, recursion, structure manipulation
Phase 4	Dynamic Programming	Optimization, recursion → iteration transition
Phase 5	Graphs	Connectivity, paths, MST, topological sort, DSU

🧩 Each topic file already includes a week-by-week breakdown.

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🧱 Repository Layout

DSA-Mastery/
│
├── arrays.md
├── linked_list.md
├── stack_queues.md
├── bit-manipulation.md
├── two_pointer_sliding_window.md
├── trees.md
├── tries_strings.md
├── dp.md
├── graph.md
└── README.md   ← (this file)

💡 Each .md file is a complete learning notebook for that topic.

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🧠 Core Topics Overview

Category	Key Concepts
Arrays	Prefix/suffix sums, Kadane’s, Subarray sums, permutations
Linked List	Pointers, reversal, loop detection, merge, arithmetic ops
Stack & Queue	Infix-postfix, monotonic stack, LRU/LFU cache
Sliding Window	Subarray optimization, distinct counts, substring analysis
Bit Manipulation	Power of 2, XOR, set bits, sieve, binary exponentiation
Trees & Tries	Recursion, traversals, prefix search, XOR tries
Strings	KMP, Z-function, palindrome, hashing, parsing
Dynamic Programming	Grids, subsequences, knapsack, stocks, LIS, MCM
Graphs	BFS, DFS, Topo Sort, Shortest Path, DSU, Tarjan

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⚙️ How to Use This Repo

1. Open a topic file like arrays.md or dp.md.
2. Read through the concept summary and problem list.
3. Implement problems in your preferred language (C++ recommended).
4. Tick checkboxes ✅ in the tracker as you solve.
5. Revisit topics for revision or deeper understanding.

📌 Each file is standalone — you can study any topic independently.

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🎯 Goal of the Repository

By the end of this journey, you’ll:

✅ Understand every core DSA pattern
✅ Be confident in problem classification & pattern reuse
✅ Solve 250+ standard problems across all topics
✅ Be interview-ready for FAANG/Top Tech companies
✅ Have a clean, public portfolio-ready DSA repo

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🧩 Suggested Practice Timeline

Week	Focus	Approx. Problems
1–2	Arrays + Linked List	30–40
3–4	Stack + Queue + Sliding Window	30–35
5–6	Bit + Trees + Strings	25–30
7–9	DP + Graphs	50–60

🎯 Total: ~200–250 problems → Complete DSA coverage.

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🧠 Best Practices

• Use C++ STL effectively (vector, map, stack, queue, priority_queue).
• Focus on approach clarity, not just syntax.
• Keep comments and dry runs inside your .cpp solutions.
• Re-implement problems after 3–4 days to reinforce retention.
• For every algorithm, know its time/space complexity and intuition.

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🌟 Vision

“DSA mastery isn’t about memorizing 1000 problems.
It’s about learning 100 problems that teach 1000 patterns.”

This repo is your living syllabus for mastering DSA from scratch —
systematic, pattern-driven, and interview-focused.

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💬 Author Note

Built for learners who want clarity over chaos — no scattered notes, no endless lists.
Just structured learning, solid patterns, and pure problem-solving.

Happy Coding 💻
#DSA #Algorithms #DataStructures #InterviewPrep #CodingRoadmap