Tomadora
Dynamic Programming & Advanced Patterns
AI-generated course covering: Foundations of Dynamic Programming, 1D & 2D Dynamic Programming Patterns, Dynamic Programming on Sequences & Strings, Knapsack & Partition DP, Tree & Graph Dynamic Programming, Advanced DP Techniques & Problem Solving
Advanced
22 lessons
509 questions
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What you'll learn
This course is part of the DSA & Interview Prep track on Tomadora. It covers 6 progressive modules with 22 bite-sized lessons, totalling 509 interactive questions including flashcards, multiple choice, true/false, typing, matching, and fill-in-the-blank.
Course syllabus
Foundations of Dynamic Programming
Master the fundamental concepts of dynamic programming, including recursive memoization (top-down DP), iterative tabulation (bottom-up DP), and essential space optimization strategies. Explore classic introductory problems to solidify your understanding.
- Introduction to Dynamic Programming & Memoization (24 questions)
- Tabulation (Bottom-Up Dynamic Programming) (24 questions)
- 1D Dynamic Programming Problems (25 questions)
- Introduction to 2D Dynamic Programming Problems (16 questions)
1D & 2D Dynamic Programming Patterns
Explore common 1D and 2D DP problems, learning to identify recurring patterns and apply appropriate DP techniques to solve problems involving linear sequences and simple grids, such as Coin Change, House Robber, and Unique Paths.
- Introduction to 1D Dynamic Programming (22 questions)
- Advanced 1D DP and Optimization (25 questions)
- Grid-Based 2D Dynamic Programming (24 questions)
- String DP and Advanced 2D Patterns (26 questions)
Dynamic Programming on Sequences & Strings
Dive into advanced DP applications for sequences and strings. Focus on problems that require careful state definition and transitions to find optimal substructures, including Longest Common Subsequence (LCS), Longest Increasing Subsequence (LIS), and Edit Distance.
- Introduction to Sequence DP: LIS & Maximum Subarray Sum (28 questions)
- Core String DP Algorithms: Edit Distance & Longest Common Subsequence (8 questions)
- Advanced String DP: Palindromes & Partitioning (28 questions)
Knapsack & Partition DP
Tackle the family of knapsack problems (0/1, unbounded) and explore partition-related dynamic programming, crucial for optimizing decisions over a collection of items or subsets. Problems include Knapsack variations, Rod Cutting, and Subset Sum.
- 0/1 Knapsack: Core Concepts & DP Approaches (27 questions)
- Unbounded & Bounded Knapsack Problems (23 questions)
- Subset Sum: Bridging Knapsack to Partition (21 questions)
- Minimum Subset Sum Difference & Related Problems (27 questions)
Tree & Graph Dynamic Programming
Extend DP principles to non-linear data structures. Learn how to formulate and solve dynamic programming problems on trees (e.g., maximum path sum, diameter) and Directed Acyclic Graphs (DAGs) using appropriate traversal and state aggregation techniques.
- Fundamentals of Tree Dynamic Programming (23 questions)
- Advanced Tree DP and Rerooting Techniques (11 questions)
- Dynamic Programming on Directed Acyclic Graphs (DAGs) (20 questions)
Advanced DP Techniques & Problem Solving
Master advanced dynamic programming paradigms and problem-solving strategies. This module covers techniques like Digit DP, Profile DP, and bitmask DP for state compression, enabling you to tackle highly complex and non-obvious DP challenges.
- State Compression & Bitmask DP (28 questions)
- DP on Trees and Directed Acyclic Graphs (DAGs) (23 questions)
- Digit DP & Profile DP (29 questions)
- Advanced Optimization Techniques: Convex Hull Trick & Divide and Conquer Optimization (27 questions)
Frequently asked questions
- What is the Dynamic Programming & Advanced Patterns course?
- Dynamic Programming & Advanced Patterns is a advanced course on Tomadora covering 6 modules and 22 lessons. It is designed to be completed in 5-minute bursts during your work breaks, using a Pomodoro-style focus + learn cycle.
- How long does Dynamic Programming & Advanced Patterns take to finish?
- Each lesson takes about 5 minutes. With 22 lessons, you can finish the course in roughly 2 hours of total learning time, spread across as many breaks as you like.
- Is Dynamic Programming & Advanced Patterns free?
- Yes. Tomadora is free to download and the entire DSA & Interview Prep track — including Dynamic Programming & Advanced Patterns — is free to learn.
- What level is Dynamic Programming & Advanced Patterns?
- Dynamic Programming & Advanced Patterns is rated Advanced. Recommended for learners who already know the fundamentals.
- What language is Dynamic Programming & Advanced Patterns taught in?
- Dynamic Programming & Advanced Patterns is taught in English.
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