It's basically that well-known problem but they split k into three separate values, which changes the complexity a bit.
Clarify the three parameters and how each constrains the solution, then reduce the problem to a known pattern by handling one constraint at a time. Discuss trade-offs between sliding window, dynamic programming, and hybrid approaches, and analyze time/space complexity.
Pro tip: Start by asking clarifying questions about the parameters' ranges and relationships—this shows you think about edge cases and constraints before coding. Then, relate the problem to a known variant (e.g., 3D sliding window or DP with multiple states) to demonstrate pattern recognition.
Ask about the meaning and typical ranges of the three parameters, and whether they interact or are independent. Confirm input/output format and edge cases.
Determine if the problem can be modeled as a sliding window with multiple constraints, a multi-dimensional DP, or a combination. Relate it to classic problems like 'Longest Substring with At Most K Distinct Characters' but with three constraints.
Outline a strategy: e.g., use a sliding window with a data structure to track all three constraints, or use DP with state dimensions for each parameter. Discuss how to efficiently check and update constraints.
Derive time and space complexity. Consider optimizations like two-pointer technique, monotonic queues, or state compression if applicable.
Walk through a small example, including cases where one parameter dominates or constraints conflict. Verify correctness and discuss potential pitfalls.
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