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Algorithms: Beginnings
Algorithm: a definition
Time- and Space-Complexity
The Counting Principle
Stacks and Queues
Introduction
The Stack ADT
The Queue ADT
Big-O and Asymptotic Complexity
Introduction
Big-O Notation
Asymptotic Complexity
Asymptotic Complexity and Limits
State Analysis
Introduction
State Analysis
Example: Sudoku Solver
Graphs
Introduction
The Graph Data Type
Graph Traversal
Applications of Graphs
Weighted Graphs
Hashing
Introduction
Hashing Basics
Collision Resolution
Proof of Theorem Q
Implementation of HashTable in C#
Time-Complexity of Hashing
Deletion from a Hash Table
Alternatives to Probing
Applications of Hashing
Information Theory and Data Compression
Introduction
Shannon’s Theory of Information
Huffman Coding
Optimality of the Huffman Code
Connections Between Codes and Entropy
Data Compression in Practice
Game Strategy
Introduction
Decision Trees
The Minimax Algorithm
The Truncated Minimax Algorithm
Implementing Chess with the Minimax Algorithm
Pruning