Hey everyone! I recently graduated and I'm gearing up for interviews with top tech companies. I started diving into Dynamic Programming (DP) just two days ago, and I'm already feeling a bit overwhelmed. I try to solve DP problems by myself, but I find it hard to clearly define dp[i] and figure out the recurrence relation. Even after putting in significant time, I feel like I'm not making much progress, which is a bit stressful. I typically spend about 4-5 hours daily on Data Structures and Algorithms (DSA), 2 hours on computer science fundamentals like OS, CN, and DBMS, and an hour on development. I'd love to hear from those who struggled with DP at first. How did you train your thinking for it? What's the best way to practice without wasting too much time?
2 Answers
Two days into DP is really nothing to stress about! When I first started, it took me about two weeks before I stopped feeling completely lost. What really helped me was initially focusing on a brute-force recursive approach instead of trying to solve it optimally. Once I had that down, I just added caching (memoization) and transitioned into a top-down DP solution. Also, start by learning classic patterns like Fibonacci, 0/1 knapsack, and longest common subsequence. Most DP problems revolve around a few core patterns, and recognizing those will make things much easier!
When you're just starting out, remember that practice is key! DP problems tend to follow a specific principle where you cache values for repeated access. If you've taken proof-based math, it's a similar mindset—learning concepts and applying them in various ways. Also, don’t rush to find the optimal solution right off the bat; begin with a brute-force approach. This will help you identify inefficiencies and understand how to define dp[i] as you improve your grasp of the problems.

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