Master fundamental data structures and algorithmic thinking
217
Sub Topics
650
MCQs
291
MCOs
467
True/False
293
Fill Blanks
117
Rearrange
243
Matching
108
Comprehensions
227
Flashcard Decks
Curriculum
What You'll Learn
01 Introduction to Data Structures and Algorithms 3 topics
1 Basic Concepts and Terminology
- Algorithm definition and properties
- Time and space complexity
- Big-O notation
- Best, worst, and average case analysis
2 Problem Solving Approach
- Breaking down problems
- Algorithm design techniques
- Pseudocode and algorithm representation
3 Mathematics for Algorithm Analysis
- Logarithms and exponents
- Series and sequences
- Recurrence relations
- Mathematical proof techniques
02 Basic Data Structures 4 topics
1 Arrays
- One-dimensional arrays
- Multi-dimensional arrays
- Dynamic arrays
- Array operations and time complexity
2 Linked Lists
- Singly linked lists
- Doubly linked lists
- Circular linked lists
- Operations and implementation
3 Stacks
- Stack operations
- Implementation using arrays
- Implementation using linked lists
- Applications of stacks
4 Queues
- Basic queue operations
- Implementation using arrays
- Implementation using linked lists
- Circular queues
- Priority queues
- Deques (double-ended queues)
03 Recursion 4 topics
1 Fundamentals of Recursion
- Recursive thinking
- Base cases and recursive cases
- Call stack and stack frames
2 Recursive Algorithms
- Factorial computation
- Fibonacci sequence
- Tower of Hanoi
- Binary search
3 Analysis of Recursive Algorithms
- Recurrence relations
- Master theorem
4 Recursion vs. Iteration
- Comparative analysis
- When to use recursion
- Tail recursion optimization
04 Searching Algorithms 4 topics
1 Linear Search
- Algorithm and implementation
- Time and space complexity
2 Binary Search
- Algorithm and implementation
- Iterative vs. recursive approaches
- Time and space complexity
3 Interpolation Search
- Algorithm and implementation
- Time and space complexity
4 Hashing
- Hash functions
- Collision resolution techniques
- Chaining
- Open addressing (linear probing, quadratic probing, double hashing)
- Hash tables and dictionaries
- Perfect hashing
05 Sorting Algorithms 5 topics
1 Comparison-Based Sorting
- Bubble sort
- Selection sort
- Insertion sort
- Shell sort
- Merge sort
- Quicksort
- Heapsort
2 Non-Comparison Sorting
- Counting sort
- Radix sort
- Bucket sort
3 Hybrid Sorting Algorithms
- Timsort
- Introsort
4 External Sorting
- Multiway merge sort
- Replacement selection
5 Analysis and Comparison
- Time and space complexity comparison
- Stability in sorting
- In-place vs. not-in-place sorting
06 Trees 4 topics
1 Binary Trees
- Tree terminology
- Tree representations
- Tree traversals (preorder, inorder, postorder, level order)
2 Binary Search Trees
- Properties and operations
- Insertion and deletion
- Searching
- Balancing techniques
3 Balanced Trees
- AVL trees
- Red-black trees
- B-trees and B+ trees
- 2-3 trees
- 2-3-4 trees
4 Special Tree Structures
- Heaps (min heap, max heap)
- Trie (prefix tree)
- Segment trees
- Fenwick trees (Binary Indexed Trees)
- Splay trees
07 Graphs 7 topics
1 Graph Representation
- Adjacency matrix
- Adjacency list
- Edge list
2 Graph Traversal
- Breadth-first search (BFS)
- Depth-first search (DFS)
3 Shortest Path Algorithms
- Dijkstra's algorithm
- Bellman-Ford algorithm
- Floyd-Warshall algorithm
- Johnson's algorithm
4 Minimum Spanning Trees
- Prim's algorithm
- Kruskal's algorithm
5 Strongly Connected Components
- Kosaraju's algorithm
- Tarjan's algorithm
6 Topological Sort
- Algorithm and implementation
- Applications
7 Graph Coloring
- Vertex coloring
- Edge coloring
- Applications
08 Advanced Data Structures 6 topics
1 Disjoint Set (Union-Find)
- Structure and operations
- Path compression
- Union by rank/size
2 Skip Lists
- Structure and operations
- Probabilistic analysis
3 Self-Balancing Trees
- Treaps
- Scapegoat trees
4 Space-Efficient Data Structures
- Bloom filters
- Sparse matrices
- Rope data structure
5 Spatial Data Structures
- Quad trees
- Octrees
- K-d trees
- R-trees
6 Specialized Trees
- Suffix trees and arrays
- Ternary search trees
09 Dynamic Programming 3 topics
1 Principles of Dynamic Programming
- Optimal substructure
- Overlapping subproblems
- Memoization vs. tabulation
2 Classic Problems
- Fibonacci sequence
- Matrix chain multiplication
- Longest common subsequence
- Longest increasing subsequence
- Edit distance
- Knapsack problem
- Coin change problem
3 Advanced Applications
- Optimal binary search trees
- Sequence alignment
- Shortest reliable paths
10 Greedy Algorithms 3 topics
1 Greedy Strategy Principles
- Greedy choice property
- Optimal substructure
2 Standard Greedy Algorithms
- Activity selection
- Huffman coding
- Fractional knapsack
- Minimum spanning trees
- Dijkstra's algorithm
3 Analysis of Greedy Algorithms
- Proof techniques
- When greedy fails
11 Backtracking and Branch and Bound 3 topics
1 Backtracking
- State space tree
- Constraint satisfaction
- Classic problems (N-Queens, Sudoku, Knight's tour)
2 Branch and Bound
- Principles and methodology
- Bounding functions
- Applications (Traveling Salesman Problem, 0/1 Knapsack)
3 Comparative Analysis
- Backtracking vs. branch and bound
- Time and space complexity
12 String Algorithms 3 topics
1 String Matching
- Naive algorithm
- Rabin-Karp algorithm
- Knuth-Morris-Pratt algorithm
- Boyer-Moore algorithm
2 Advanced String Data Structures
- Suffix arrays
- Suffix trees
- Suffix automata
3 String Processing
- String compression
- String similarity and distance metrics
- Regular expressions
13 NP-Completeness and Approximation Algorithms 3 topics
1 Computational Complexity
- P and NP problems
- NP-hard and NP-complete problems
- Cook's theorem
2 NP-Complete Problems
- Traveling Salesman Problem
- Hamiltonian path/cycle
- Subset sum
- Graph coloring
- Boolean satisfiability (SAT)
3 Approximation Algorithms
- Approximation ratio
- Polynomial-time approximation schemes (PTAS)
- Fully polynomial-time approximation schemes (FPTAS)
- Examples for NP-hard problems
14 Advanced Topics 5 topics
1 Randomized Algorithms
- Las Vegas algorithms
- Monte Carlo algorithms
- Randomized quicksort
- Skip lists
2 Online Algorithms
- Competitive analysis
- Paging problems
- K-server problems
3 Parallel Algorithms
- Models of parallel computation
- Parallel sorting
- Parallel graph algorithms
4 External Memory Algorithms
- I/O model
- External sorting
- External data structures
5 Streaming Algorithms
- Data stream model
- Frequency moments
- Count-Min sketch
- HyperLogLog
15 Algorithm Design Techniques 4 topics
1 Divide and Conquer
- Methodology and examples
- Master theorem for analysis
2 Transform and Conquer
- Instance simplification
- Representation change
- Problem reduction
3 Amortized Analysis
- Accounting method
- Potential method
- Aggregate analysis
4 Memory-Time Trade-offs
- Memoization
- Precomputation
- Space-time complexity balancing
16 Applications and Case Studies 5 topics
1 Graph Algorithms in Network Analysis
- Social network analysis
- Web page ranking
- Transportation networks
2 Computational Geometry
- Convex hull algorithms
- Line intersection
- Closest pair of points
- Voronoi diagrams
3 Machine Learning Applications
- Decision trees
- Clustering algorithms
- Nearest neighbor search
4 Big Data Algorithms
- MapReduce paradigm
- Distributed algorithms
- Streaming data processing
5 Real-world Problem Solving
- Case studies in different domains
- Industry applications
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