logic-building.md

🛤️ 3-Month Logic-Building & Problem-Solving Roadmap

Week	Focus Area	Daily Breakdown	Checkpoints
Week 1	Foundation: Basics of Programming	Day 1-2: Learn variables, data types, loops (for, while). Day 3-4: Conditionals, functions. Day 5-6: Arrays & Strings basics. Day 7: Solve 10 simple pattern-building questions (stars, triangles).	✅ Understand basic syntax and concepts. ✅ Solve 10 pattern-building problems.
Week 2	Introduction to Problem Solving	Day 1-2: Learn dry-run and pseudocode. Day 3-5: Solve 10 simple DSA problems (easy level, e.g., reverse array, Fibonacci). Day 6-7: Build Mini Project 1: Calculator App.	✅ Solve 10 DSA problems. ✅ Complete Mini Project 1: Calculator App.
Week 3	Level Up: Arrays & Logic Thinking	Day 1-2: Advanced array techniques (sliding window, prefix sum). Day 3-6: Solve 15 array-based problems (medium level). Day 7: Build Mini Project 2: Tic-Tac-Toe Game.	✅ Solve 25 total DSA problems (15 new). ✅ Complete Mini Project 2: Tic-Tac-Toe Game.
Week 4	Strings & Problem-Solving Practice	Day 1-2: String manipulation (reversal, palindromes, substrings). Day 3-5: Solve 15 string-based problems (easy-medium). Day 6-7: Build Mini Project 3: Text Manipulation Tool (e.g., Uppercase, Reverse).	✅ Solve 40 total DSA problems (15 new). ✅ Complete Mini Project 3: Text Tool.
Week 5	Recursion & Logic Expansion	Day 1-2: Learn recursion basics (factorial, Fibonacci). Day 3-5: Solve 10 recursion-based problems (medium level). Day 6-7: Build Mini Project 4: Recursive Maze Solver.	✅ Solve 50 total DSA problems (10 new). ✅ Complete Mini Project 4: Recursive Maze Solver.
Week 6	Data Structures: Stacks & Queues	Day 1-2: Learn stacks and queues basics. Day 3-6: Solve 15 problems (balanced parentheses, queue reversal). Day 7: Work on Mini Project 5: Browser History Tracker (using stack).	✅ Solve 65 total DSA problems (15 new). ✅ Complete Mini Project 5: Browser History Tracker.
Week 7	Dynamic Programming Introduction	Day 1-3: Learn DP basics (knapsack, Fibonacci with memoization). Day 4-6: Solve 10 DP problems (easy-medium). Day 7: Revise all past concepts/projects.	✅ Solve 75 total DSA problems (10 new). ✅ Master basic DP problems.
Week 8	Advanced Problem Solving (Graph)	Day 1-2: Learn graph representation (adjacency list/matrix). Day 3-5: Solve 10 graph-based problems (BFS/DFS). Day 6-7: Build a Mini Project: Path Finder Visualizer.	✅ Solve 85 total DSA problems (10 new). ✅ Complete Graph-Based Mini Project.
Week 9	Advanced DSA (Sorting/Greedy)	Day 1-2: Learn sorting algorithms (merge sort, quicksort). Day 3-5: Solve 15 problems on sorting/greedy (e.g., activity selection, job scheduling).	✅ Solve 100 DSA problems (15 new).
Week 10-11	Integration: Complex Projects	Day 1-7: Brainstorm and build Project 1: Expense Tracker with Charts. Next 7 days: Build Project 2: Multiplayer Rock-Paper-Scissors Game (WebSockets, if possible).	✅ Integrate past knowledge into real-world projects. ✅ Master real-world application-building.
Week 12	Final Touches and Mock Practice	Day 1-3: Revise all concepts learned. Day 4-6: Solve 10 problems from past mistakes or blindspots. Day 7: Build a final project of your choice integrating at least one complex DSA concept.	✅ Complete final project. ✅ Feel confident in solving beginner-intermediate DSA problems.

💡 How to Think of Logic

1. Break Down the Problem: Read the question twice. Identify inputs, outputs, and constraints.
2. Start with Examples: Create test cases manually and simulate the solution step-by-step.
3. Write Pseudocode: Draft a high-level plan before coding.
4. Ask “Why?” at Every Step: Understand each operation; don’t memorize solutions.
5. Visualize: Use diagrams or dry-run tables to debug.
6. Optimize Gradually: Start with brute force; iterate to optimize for efficiency.

📚 100 DSA Questions for Logic Building

Category	Question Name	Platform	Link
Basics & Warm-Up	Print a pattern of stars (triangle, pyramid)	GeeksforGeeks	Link
	Reverse a number	GeeksforGeeks	Link
	Check if a number is palindrome	GeeksforGeeks	Link
	Count digits in a number	GeeksforGeeks	Link
	Find factorial of a number	HackerRank	Link
Arrays	Reverse an array	LeetCode	Link
	Find the maximum and minimum of an array	GeeksforGeeks	Link
	Rotate an array by K steps	LeetCode	Link
	Move all zeroes to the end	LeetCode	Link
	Kadane's Algorithm (Maximum Subarray Sum)	LeetCode	Link
Strings	Reverse a string	LeetCode	Link
	Check if two strings are anagrams	LeetCode	Link
	Longest Common Prefix	LeetCode	Link
	Check if a string is a palindrome	LeetCode	Link
	Count and say	LeetCode	Link
Recursion	Fibonacci series using recursion	GeeksforGeeks	Link
	Tower of Hanoi	GeeksforGeeks	Link
	Factorial using recursion	LeetCode	Link
	Reverse a linked list using recursion	LeetCode	Link
	Permutations of a string	GeeksforGeeks	Link
Sorting	Bubble sort	GeeksforGeeks	Link
	Selection sort	GeeksforGeeks	Link
	Merge sort	GeeksforGeeks	Link
	Quick sort	GeeksforGeeks	Link
	Insertion sort	GeeksforGeeks	Link
Searching	Binary search	LeetCode	Link
	Linear search	GeeksforGeeks	Link
	Search in a rotated sorted array	LeetCode	Link
	First and last position in a sorted array	LeetCode	Link
	Square root of a number (using binary search)	LeetCode	Link
Linked List	Reverse a linked list	LeetCode	Link
	Detect a cycle in a linked list	LeetCode	Link
	Merge two sorted linked lists	LeetCode	Link
	Remove Nth node from the end	LeetCode	Link
	Find the middle of a linked list	LeetCode	Link
Stacks & Queues	Implement a stack using arrays	LeetCode	Link
	Evaluate postfix expression	GeeksforGeeks	Link
	Balanced parentheses	LeetCode	Link
	Next greater element	LeetCode	Link
	Implement a queue using stacks	LeetCode	Link
Dynamic Programming	0/1 Knapsack problem	GeeksforGeeks	Link
	Fibonacci using dynamic programming	LeetCode	Link
	Longest common subsequence	LeetCode	Link
	Longest increasing subsequence	LeetCode	Link
	Minimum steps to reach the end	LeetCode	Link
Graphs	BFS traversal	GeeksforGeeks	Link
	DFS traversal	GeeksforGeeks	Link
	Detect cycle in an undirected graph	GeeksforGeeks	Link
	Shortest path in a graph (Dijkstra’s)	GeeksforGeeks	Link
	Topological sort	GeeksforGeeks	Link