**CS 332: Algorithms**

**Review: Skip Lists**

**Review: Skip Lists**

**Review: Skip List Search**

**Review: Skip List Insert**

**Review: Skip Lists**

**Review: Hashing Tables**

**Review: Hash Tables**

**Hashing: Keys**

**Review: Direct Addressing**

**The Problem With
**

Direct Addressing

**Hash Functions**

**Resolving Collisions**

**Open Addressing**

**Chaining**

**Chaining**

**Chaining**

**Chaining**

**Analysis of Chaining**

**Analysis of Chaining**

**Analysis of Chaining**

**Analysis of Chaining**

**Analysis of Chaining
Continued**

**Choosing A Hash Function**

**Hash Functions:**

The Division Method

**Hash Functions:**

The Multiplication Method

**Hash Functions:**

The Multiplication Method

**Hash Functions: **

Worst Case Scenario

**Hash Functions:
**

Universal Hashing

**Universal Hashing**

**Universal Hashing**

**A Universal Hash Function**

**A Universal Hash Function**

**The End**