Explore hash functions, load factor dynamics, separate chaining, open addressing probes, Robin Hood, and probabilistic Bloom filters.
Universal hashing, avalanche effect, MurmurHash/xxHash principles, modulo prime bucket sizing, and load factor threshold theorem.
Separate Chaining vs Open Addressing: Linear Probing (primary clustering), Quadratic Probing, and Double Hashing.
Production implementations: Java 8+ HashMap treeification (Red-Black trees at threshold 8), Python 3.6+ compact dense arrays, and Set operations.
Cuckoo Hashing with guaranteed O(1) worst-case lookups, Robin Hood probing PSL variance minimization, and Bloom Filters false-positive math.