Lean Dynamic Programming with Animations – Full Course for Beginners

Dynamic programming (DP) is broken down into core patterns through visual animations and step-by-step explanations. The course covers constant transition problems (climbing stairs, house robber), grid-based problems (unique paths), and two-sequence problems (longest common subsequence). Key techniques include memoization (top-down recursion with caching) and tabulation (bottom-up iteration with arrays). Each pattern demonstrates how to identify base cases, derive recurrence formulas, optimize space complexity from O(n) to O(1) when possible, and recognize when DP applies. Problems progress from counting paths to minimizing costs to comparing strings, all using similar table-filling logic.