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Master Data Structures Theory with Adaptive AI.

Master Data Structures Theory across 14 topics - Foundations, Trees and Graphs, and Advanced Structures - guided by Leyaa's adaptive intelligence.

3Parts
14Topics
99Patterns
25hEst. duration
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Data Structures Theory
Data Structures Theory Course
3 - part learning journey
Beginner
Foundations
5 topics · 36 patterns
Beginner
Intermediate
Trees and Graphs
5 topics · 36 patterns
Intermediate
Advanced
Advanced Structures
4 topics · 27 patterns
Advanced
Begin Part 1: Foundations
✦ Course Structure

Your Data Structures Theory Journey in 3 Parts

Each part builds on the last - a deliberate progression from beginner to advanced.

Beginner
Beginner
Part 1: Foundations
Covers Introduction to Data Structures, Arrays and Strings, Linked Lists and 2 more topics.
5Topics
36Patterns
View topics
Intermediate
Intermediate
Part 2: Trees and Graphs
Covers Binary Trees, Binary Search Trees, Balanced Trees and 2 more topics.
5Topics
36Patterns
View topics
Advanced
Advanced
Part 3: Advanced Structures
Covers Advanced Graph Algorithms, Tries and String Structures, Advanced Structures and 1 more topic.
4Topics
27Patterns
View topics
Curriculum

Everything You'll Learn

Explore every topic and pattern in the course.

Data Structures Theory

3 parts · 14 topics · 99 patterns
Beginner
Part 1: Foundations5 topics · 36 patterns
Beginner
01
Introduction to Data Structures
7 patterns
What is a data structure
Why choosing the right data structure matters
Abstract Data Type vs Data Structure
Time complexity (Big O notation)
Space complexity analysis
Best, average, and worst case analysis
Common complexity classes (O(1), O(n), O(log n), O(n²))
02
Arrays and Strings
7 patterns
Why arrays are the simplest data structure
Static vs dynamic arrays
Array operations and their complexities
Two-pointer technique
Sliding window technique
String as character array
String matching basics
03
Linked Lists
7 patterns
Why linked lists solve array limitations
Singly linked list structure
Insertion and deletion operations
Doubly linked list
Circular linked list
Linked list vs array comparison
Common linked list patterns (runner technique)
04
Stacks and Queues
8 patterns
Why stacks follow LIFO principle
Stack operations (push, pop, peek)
Stack applications (expression evaluation, backtracking)
Why queues follow FIFO principle
Queue operations (enqueue, dequeue)
Circular queue
Priority queue concept
Deque (double-ended queue)
05
Hash Tables
7 patterns
Why hash tables enable O(1) lookup
Hash function concept
Collision handling (chaining)
Collision handling (open addressing)
Load factor and rehashing
Hash table applications
Hash map vs hash set
Intermediate
Part 2: Trees and Graphs5 topics · 36 patterns
Intermediate
01
Binary Trees
7 patterns
Why trees model hierarchical relationships
Binary tree terminology
Tree traversals (inorder, preorder, postorder)
Level-order traversal (BFS)
Height and depth of trees
Complete vs full vs perfect binary trees
Recursive tree algorithms
02
Binary Search Trees
7 patterns
Why BST enables efficient searching
BST property and invariant
Insertion in BST
Deletion in BST
Searching in BST
BST balancing problem
Inorder traversal gives sorted order
03
Balanced Trees
6 patterns
Why balancing prevents worst-case degradation
AVL tree rotations
Red-black tree properties
B-trees for databases
B+ trees for indexing
Self-balancing tree comparison
04
Heaps
8 patterns
Why heaps enable efficient priority access
Min-heap and max-heap properties
Heap insertion (bubble up)
Heap extraction (bubble down)
Heapify operation
Heap sort algorithm
Priority queue with heaps
K-way merge with heaps
05
Graphs
8 patterns
Why graphs model complex relationships
Graph representations (adjacency matrix vs list)
Directed vs undirected graphs
Weighted graphs
BFS traversal and applications
DFS traversal and applications
Cycle detection in graphs
Topological sorting
Advanced
Part 3: Advanced Structures4 topics · 27 patterns
Advanced
01
Advanced Graph Algorithms
7 patterns
Why shortest path algorithms power navigation
Dijkstra's algorithm
Bellman-Ford algorithm
Floyd-Warshall algorithm
Minimum spanning tree (Kruskal's)
Minimum spanning tree (Prim's)
Strongly connected components
02
Tries and String Structures
6 patterns
Why tries optimize prefix operations
Trie insertion and search
Prefix matching with tries
Suffix trees concept
Suffix arrays
Applications (autocomplete, spell check, IP routing)
03
Advanced Structures
7 patterns
Why specialized structures solve specific problems
Segment trees for range queries
Fenwick trees (Binary Indexed Trees)
Disjoint set (Union-Find)
Skip lists for probabilistic search
Bloom filters for membership testing
LRU cache design with hash map and doubly linked list
04
Data Structures in System Design
7 patterns
Why data structure choice affects system performance
Hash tables in caching (Redis, Memcached)
B+ trees in databases
LSM trees in write-heavy systems
Graphs in social networks
Queues in message brokers
Choosing data structures for interview problems
Why Leyaa

Not just a course. A learning intelligence.

Leyaa doesn't just deliver content - it understands where you are, what you need, and how to get you there fastest.

Adaptive Diagnostics
Adaptive Diagnostics
Leyaa identifies which of the 99 patterns you've mastered and which need work - before you waste time on what you already know.
Pattern-Level Precision
Pattern-Level Precision
Every pattern gets a verdict - Learn, Practice, or Skip - so your study time goes exactly where it counts.
Intelligent Pacing
Intelligent Pacing
Leyaa reads your velocity across the whole course and adapts your focus list dynamically, keeping you in the optimal learning zone.
Before & After Visibility
Before & After Visibility
Every assessment creates a snapshot. Retake anytime to see exactly how much you've grown - topic by topic, pattern by pattern.
Learner Autonomy
Learner Autonomy
Leyaa recommends, never restricts. Override any suggestion and explore at your own pace - the system tracks everything regardless.
Clear Learning Path
Clear Learning Path
Foundations → Trees and Graphs → Advanced Structures - a structured journey where each part sets you up perfectly for the next.
Data Structures Theory

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14 Topics
99 Patterns
Personalized roadmap
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