Advanced Data Structures
Advanced data structures for solving complex algorithmic problems efficiently. These structures provide specialized operations for specific use cases.
Learning Map
Prerequisites
What's in scope
- Trie (Prefix Tree): String prefix problems, word search, autocomplete, and dictionary problems
- Segment Tree: Range queries, range updates, lazy propagation, and 2D segment trees
- Fenwick Tree: Prefix sum queries, range sum updates, inversion count, and 2D applications
- Disjoint Set Union: Union & find operations, path compression, union by rank, and cycle detection
How to use this section
- Start with Trie (Prefix Tree) for string-related problems
- Learn Segment Tree for range query problems
- Master Fenwick Tree for prefix sum operations
- Explore Disjoint Set Union for connectivity problems
📄️ Disjoint Set Union (Union-Find)
Union & find operations, path compression, union by rank, and cycle detection
📄️ Fenwick Tree (Binary Indexed Tree)
Prefix sum queries, range sum updates, and advanced applications
📄️ Segment Tree
Range queries, range updates, lazy propagation, and advanced segment tree techniques
📄️ Trie (Prefix Tree)
Trie implementation, string prefix problems, and dictionary operations