CS 332: Algorithms

Administrivia

Review: Hash Tables

Review: Direct Addressing

Review: Hash Functions

Review: Resolving Collisions

Review: Chaining

Review: Analysis Of Hash Tables

Review: Choosing A Hash Function

Review: The Division Method

Review: The Multiplication Method

Review: Universal Hashing

Review: Universal Hashing

Review: A Universal Hash Function

Augmenting Data Structures

Augmenting Data Structures

Dynamic Order Statistics

Order Statistic Trees

Selection On OS Trees

OS-Select

OS-Select Example

OS-Select Example

OS-Select Example

OS-Select Example

OS-Select Example

OS-Select: A Subtlety

OS-Select

Determining The
Rank Of An Element

Determining The
Rank Of An Element

Determining The
Rank Of An Element

Determining The
Rank Of An Element

Determining The
Rank Of An Element

OS-Rank

OS-Trees: Maintaining Sizes

OS-Trees: Maintaining Sizes

OS-Trees: Maintaining Sizes

Maintaining Size Through Rotation

Augmenting Data Structures: Methodology

The End