My first instinct was a sliding window, which doesn't actually work cleanly here because the validity condition is weird.
Use a divide-and-conquer strategy: recursively split the string at characters that appear fewer than k times, and return the maximum length of valid substrings. Alternatively, use a sliding window with a fixed number of distinct characters, iterating over possible distinct counts. Discuss trade-offs between approaches.
Pro tip: Start by clarifying edge cases (e.g., k=1, empty string) and then explain the divide-and-conquer approach, as it's often more intuitive and efficient for this problem. Mention that the sliding window approach has O(26*n) time complexity, which is effectively O(n) for lowercase letters.
Restate the problem in your own words and discuss edge cases such as k=1, empty string, or when no substring satisfies the condition. This shows thoroughness.
Decide between divide-and-conquer and sliding window. Explain why you chose one over the other, considering time and space complexity.
For divide-and-conquer: recursively split at characters with frequency < k. For sliding window: iterate over possible distinct character counts and use a window to track frequencies.
State the time and space complexity of your chosen approach. For divide-and-conquer, it's O(n) on average; for sliding window, O(26*n) = O(n).
Walk through a small example to verify correctness, and mention potential pitfalls like off-by-one errors or handling of non-alphabetic characters.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.