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Chapter
Dynamic Programming: Remembering Past Steps in the Maze
When the same sub-problems are encountered repeatedly, we can optimize by remembering solutions. This chapter introduces dynamic programming as a powerful technique for solving optimization problems in a systematic way.
- 01
Introduction: The Maze of Infinite Paths and the Need for Memory
- 02
The Concept of Overlapping Subproblems: Why Redundant Calculations are Our Enemy
- 03
Memoization: Storing Solutions to Avoid Re-computation
- 04
Tabulation: Building Solutions from the Bottom Up
- 05
Dynamic Programming in Action: Classic Maze-Solving Examples
- 06
Identifying DP Problems: The Signature of Optimal Substructure and Overlapping Subproblems
- 07
Beyond the Maze: Applications of Dynamic Programming in Diverse Fields
- 08
Chapter Summary: Mastering the Art of Algorithmic Recall