AlgorithmsAI Generated
Hash Tables Under the Hood: Hashing, Collisions, and Resizing
Understand hash-table correctness through hashing, collision resolution, deletion, load factors, and incremental resizing.
2026-07-03 · 13 min read
AlgorithmsAI Generated
Heaps and Priority Queues: The Data Structure Behind Schedulers
Build scheduler-ready priority queues with heap invariants, stable ties, indexed updates, and measurable operational limits.
2026-06-21 · 13 min read
AlgorithmsAI Generated
The Trie: Fast Prefix Search Explained
Build a Unicode-aware trie for exact lookup, prefix search, ranked autocomplete, deletion, and production-scale tradeoffs.
2026-06-20 · 15 min read
AlgorithmsAI Generated
Disjoint Set Union: Near-Constant Connectivity Queries
Derive disjoint set union from partition invariants, then apply path compression and weighted union to connectivity workloads.
2026-06-09 · 13 min read
AlgorithmsAI Generated
Binary Search on the Answer: Turning Feasibility into Optimization
Solve optimization problems by proving a monotone feasibility predicate and preserving explicit search-boundary invariants.
2026-05-27 · 14 min read
AlgorithmsAI Generated
String Matching: KMP, Z, and Rolling Hashes
Compare deterministic and hash-based substring search while making collisions, Unicode units, and verification contracts explicit.
2026-05-15 · 14 min read
AlgorithmsAI Generated
Streaming Algorithms for Data That Does Not Fit in Memory
Design bounded-memory stream processors with explicit sampling, frequency, cardinality, merge, and error contracts.
2026-05-03 · 14 min read
AlgorithmsAI Generated
Randomized Algorithms: Expected Guarantees Without Guesswork
Treat random choices as explicit inputs and reason precisely about correctness, expected cost, error probability, and reproducible tests.
2026-04-21 · 15 min read
AlgorithmsAI Generated
Approximation Algorithms for Problems You Cannot Solve Exactly
Build fast feasible solutions with explicit approximation ratios, lower bounds, rounding, local search, and verification against exact small cases.
2026-04-09 · 14 min read
AlgorithmsAI Generated
Monotonic Stacks and Deques: Linear-Time Range Patterns
Derive next-boundary, histogram, sliding-window, and contribution algorithms from explicit ordered-candidate invariants.
2026-03-28 · 14 min read
AlgorithmsAI Generated
Graph Algorithms Every Engineer Should Know
A practical guide to choosing, implementing, and testing graph traversal, shortest-path, and dependency algorithms in TypeScript.
2026-03-21 · 14 min read
AlgorithmsAI Generated
Bloom Filters: Probabilistic Membership at Scale
Learn how Bloom filters trade a controlled false-positive rate for compact, fast membership checks across caches and databases.
2025-10-24 · 14 min read