Data Structures & Algorithms
Data Structures & Algorithms
A comprehensive guide to DSA concepts for coding interviews and competitive programming.
📚 Topics
Data Structures
| File | Description |
|---|---|
| Arrays | Array operations, techniques, and common problems |
| Strings | String manipulation and algorithms |
| Linked List | Singly, doubly linked lists and operations |
| Stack | Stack operations and applications |
| Matrix | 2D array operations and traversals |
Algorithms & Techniques
| File | Description |
|---|---|
| Algorithms | Sorting, searching, and core algorithms |
| Dynamic Programming | DP patterns, memoization, tabulation |
| Bit Manipulation | Bitwise operations and tricks |
| Math | Mathematical concepts and number theory |
| Patterns | Star patterns and printing problems |
🎯 Key Concepts
Time Complexity Cheat Sheet
| Complexity | Name | Example |
|---|---|---|
| O(1) | Constant | Array access |
| O(log n) | Logarithmic | Binary search |
| O(n) | Linear | Linear search |
| O(n log n) | Linearithmic | Merge sort |
| O(n²) | Quadratic | Bubble sort |
| O(2ⁿ) | Exponential | Recursive Fibonacci |
Space Complexity
| Type | Description |
|---|---|
| In-place | O(1) extra space |
| Linear | O(n) extra space |
| Recursive | O(n) call stack |
📖 Learning Path
- Arrays & Strings - Master the fundamentals
- Linked Lists & Stacks - Understand pointer manipulation
- Recursion & Backtracking - Build problem-solving intuition
- Sorting & Searching - Learn classic algorithms
- Dynamic Programming - Optimize with memoization
- Bit Manipulation - Efficient low-level operations
💡 Problem-Solving Tips
- Understand the problem - Read carefully, identify constraints
- Think of examples - Work through small test cases
- Brute force first - Get a working solution
- Optimize - Identify bottlenecks, apply patterns
- Edge cases - Empty input, single element, duplicates