Updated 27 Aug
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Dynamic Programming in Python: Optimizing Programs for Efficiency
Learn about dynamic programming in Python, delve into recursion basics, explore advanced DP techniques, and discover practical coding challenges to optimize algorithms for real-world applications.
47 lessons
1 project
8h
Created by Educative
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What You'll Learn
- Identify recursion types and write correct recursive functions with clear base cases in Python
- Analyze time complexity of naive recursion on problems like Fibonacci, permutations, and N-Queens
- Determine when dynamic programming applies using optimal substructure and overlapping subproblems
- Implement top-down DP with memoization using Python dictionaries to avoid repeated subproblems
- Implement bottom-up DP with tabulation arrays and build solutions in the correct subproblem order
- Optimize DP space usage (e.g., Fibonacci O(1) space) by managing minimal state
- Solve classic DP challenges (knapsack, LCS, edit distance, TSP, matrix chain) and compare approaches
Learning Roadmap
1.
Chapter 1: From Recursion to Dynamic Programming
Chapter 1: From Recursion to Dynamic Programming
Get familiar with transitioning from recursion to dynamic programming and optimizing algorithms efficiently.
IntroductionWhat is Recursion?Thinking RecursivelyThe Fibonacci NumbersChallenge: Find All Permutations of a StringSolution Review: Find All Permutations of a StringChallenge: Place N Queens on an NxN ChessboardSolution Review: Place N Queens on an NxN ChessboardIs Plain Recursion Good Enough?What is Dynamic Programming?Approaches of Dynamic ProgrammingWhere to Use Dynamic ProgrammingQuiz
2.
Chapter 2: Top-Down Dynamic Programming with Memoization
Chapter 2: Top-Down Dynamic Programming with Memoization
Get started with efficient top-down dynamic programming using memoization techniques for optimization.
3.
Chapter 3: Bottom-Up Dynamic Programming with Tabulation
Chapter 3: Bottom-Up Dynamic Programming with Tabulation
10 Lessons
10 Lessons
Work your way through bottom-up dynamic programming, tabulation, optimization, and practical problem-solving.
4.
Chapter 4: Practice Problems
Chapter 4: Practice Problems
17 Lessons
17 Lessons
Apply your skills to solve diverse dynamic programming challenges efficiently and enhance problem-solving techniques.
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