The simulation part clicked fast but I kept second-guessing the termination conditions.
First, clarify the problem details and constraints (array sizes, energy values, threshold definition). Then, propose a solution that precomputes prefix sums of costs and thresholds to enable efficient simulation for each start index, possibly using binary search or a sliding window to find the maximum points. Discuss time and space complexity trade-offs.
Pro tip: Mention that you would handle edge cases like K being less than the first cost or threshold, and that you would test with small examples to verify the logic before coding.
Ask questions to confirm the meaning of 'layers', how thresholds are defined, and whether arrays are 1D or 2D. Ensure you understand the stopping conditions and scoring.
Determine array sizes, energy range, and threshold values. Consider cases where K is too small to score any points, or where the arrays are empty.
Use prefix sums to quickly compute cumulative costs and thresholds. For each start index, simulate forward but optimize by precomputing the maximum reachable index using binary search or two pointers.
State the time and space complexity of your approach. Aim for O(n log n) or O(n) if possible, and explain why it's optimal.
Walk through a small example to verify correctness, including edge cases. Discuss potential pitfalls and how to handle them.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.