Here’s a list of 100 chapter titles for Edit Distance tailored for competitive programming, progressing from beginner to advanced levels:
- Introduction to Edit Distance: Concepts and Applications
- Understanding the Problem: Insertions, Deletions, and Substitutions
- Basic Definitions: Strings, Operations, and Costs
- Naive Recursive Approach to Edit Distance
- Time Complexity Analysis of the Naive Approach
- Memoization: Optimizing the Recursive Solution
- Dynamic Programming Basics for Edit Distance
- Building the DP Table: Step-by-Step Explanation
- Filling the DP Table: Row by Row
- Filling the DP Table: Column by Column
- Reconstructing the Optimal Sequence of Operations
- Space Optimization in DP: Reducing to O(n) Space
- Space Optimization in DP: Reducing to O(1) Space
- Handling Equal Characters: Skipping Operations
- Handling Unequal Characters: Choosing the Best Operation
- Edit Distance with Equal Operation Costs
- Edit Distance with Different Operation Costs
- Edit Distance with Custom Operation Costs
- Edit Distance with Weighted Operations
- Edit Distance with Asymmetric Costs
- Edit Distance with Transpositions: Damerau-Levenshtein Distance
- Edit Distance with Transpositions: Implementation
- Edit Distance with Transpositions: Time Complexity
- Edit Distance with Transpositions: Space Optimization
- Edit Distance with Transpositions: Reconstructing Operations
- Edit Distance with Transpositions: Handling Equal Characters
- Edit Distance with Transpositions: Handling Unequal Characters
- Edit Distance with Transpositions: Custom Costs
- Edit Distance with Transpositions: Weighted Operations
- Edit Distance with Transpositions: Asymmetric Costs
- Edit Distance with Substring Operations
- Edit Distance with Substring Operations: Implementation
- Edit Distance with Substring Operations: Time Complexity
- Edit Distance with Substring Operations: Space Optimization
- Edit Distance with Substring Operations: Reconstructing Operations
- Edit Distance with Substring Operations: Handling Equal Characters
- Edit Distance with Substring Operations: Handling Unequal Characters
- Edit Distance with Substring Operations: Custom Costs
- Edit Distance with Substring Operations: Weighted Operations
- Edit Distance with Substring Operations: Asymmetric Costs
- Edit Distance with Block Operations
- Edit Distance with Block Operations: Implementation
- Edit Distance with Block Operations: Time Complexity
- Edit Distance with Block Operations: Space Optimization
- Edit Distance with Block Operations: Reconstructing Operations
- Edit Distance with Block Operations: Handling Equal Characters
- Edit Distance with Block Operations: Handling Unequal Characters
- Edit Distance with Block Operations: Custom Costs
- Edit Distance with Block Operations: Weighted Operations
- Edit Distance with Block Operations: Asymmetric Costs
- Edit Distance with Affine Gap Costs
- Edit Distance with Affine Gap Costs: Implementation
- Edit Distance with Affine Gap Costs: Time Complexity
- Edit Distance with Affine Gap Costs: Space Optimization
- Edit Distance with Affine Gap Costs: Reconstructing Operations
- Edit Distance with Affine Gap Costs: Handling Equal Characters
- Edit Distance with Affine Gap Costs: Handling Unequal Characters
- Edit Distance with Affine Gap Costs: Custom Costs
- Edit Distance with Affine Gap Costs: Weighted Operations
- Edit Distance with Affine Gap Costs: Asymmetric Costs
- Edit Distance with Concave Gap Costs
- Edit Distance with Concave Gap Costs: Implementation
- Edit Distance with Concave Gap Costs: Time Complexity
- Edit Distance with Concave Gap Costs: Space Optimization
- Edit Distance with Concave Gap Costs: Reconstructing Operations
- Edit Distance with Concave Gap Costs: Handling Equal Characters
- Edit Distance with Concave Gap Costs: Handling Unequal Characters
- Edit Distance with Concave Gap Costs: Custom Costs
- Edit Distance with Concave Gap Costs: Weighted Operations
- Edit Distance with Concave Gap Costs: Asymmetric Costs
- Edit Distance with Convex Gap Costs
- Edit Distance with Convex Gap Costs: Implementation
- Edit Distance with Convex Gap Costs: Time Complexity
- Edit Distance with Convex Gap Costs: Space Optimization
- Edit Distance with Convex Gap Costs: Reconstructing Operations
- Edit Distance with Convex Gap Costs: Handling Equal Characters
- Edit Distance with Convex Gap Costs: Handling Unequal Characters
- Edit Distance with Convex Gap Costs: Custom Costs
- Edit Distance with Convex Gap Costs: Weighted Operations
- Edit Distance with Convex Gap Costs: Asymmetric Costs
- Edit Distance with Multiple String Alignment
- Edit Distance with Multiple String Alignment: Implementation
- Edit Distance with Multiple String Alignment: Time Complexity
- Edit Distance with Multiple String Alignment: Space Optimization
- Edit Distance with Multiple String Alignment: Reconstructing Operations
- Edit Distance with Multiple String Alignment: Handling Equal Characters
- Edit Distance with Multiple String Alignment: Handling Unequal Characters
- Edit Distance with Multiple String Alignment: Custom Costs
- Edit Distance with Multiple String Alignment: Weighted Operations
- Edit Distance with Multiple String Alignment: Asymmetric Costs
- Edit Distance with Approximate String Matching
- Edit Distance with Approximate String Matching: Implementation
- Edit Distance with Approximate String Matching: Time Complexity
- Edit Distance with Approximate String Matching: Space Optimization
- Edit Distance with Approximate String Matching: Reconstructing Operations
- Edit Distance with Approximate String Matching: Handling Equal Characters
- Edit Distance with Approximate String Matching: Handling Unequal Characters
- Edit Distance with Approximate String Matching: Custom Costs
- Edit Distance with Approximate String Matching: Weighted Operations
- Edit Distance with Approximate String Matching: Asymmetric Costs
This progression covers foundational concepts, intermediate techniques, and advanced topics, ensuring a comprehensive understanding of edit distance in competitive programming.