Described the brute force approach verbally with complexity analysis but didn't code it up, then tried jumping straight to bottom-up DP and completely fell apart.
First, clarify the problem constraints and identify the state variables and recurrence relation. Then, recognize the specialized algorithm (e.g., Knuth's optimization, divide and conquer DP, or convex hull trick) that applies, and implement it efficiently while explaining the time and space complexity.
Pro tip: Verbalize your thought process: start with a brute-force DP, then show how the specialized algorithm optimizes it, demonstrating deep understanding and structured problem-solving.
Ask questions to confirm input size, constraints, and expected output. Restate the problem in your own words to ensure alignment.
Identify the state variables and write the recurrence relation. Discuss base cases and how the answer is derived.
Recognize patterns (e.g., monotonicity, quadrangle inequality) that allow optimization. Name the algorithm and explain why it applies.
Write pseudocode for the optimized DP, ensuring correct order of computation. Analyze time and space complexity.
Walk through a small example to verify correctness. Mention alternative approaches and trade-offs.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.