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The subsequence vs substring split is what makes this tricky.
Clarify the problem by restating it and discussing examples. Then, propose an efficient algorithm, such as dynamic programming or sliding window, and analyze its time and space complexity. Finally, walk through a small example to validate the approach.
Pro tip: Mention that you would first check for edge cases like empty strings or no common characters, and discuss trade-offs between different approaches (e.g., DP vs. binary search with hashing) to show depth.
Restate the problem in your own words and ask clarifying questions about constraints, input sizes, and expected output. Confirm with examples.
Discuss possible strategies: brute force, dynamic programming, or using a sliding window over the second string while checking subsequence in the first. Consider time and space complexity.
Choose the most efficient approach and explain it step-by-step. For example, use DP where dp[i][j] represents the length of the longest common subsequence ending at i in first string and j in second, but only consider contiguous substrings in the second.
State the time and space complexity of your solution. Discuss if any optimizations are possible.
Walk through a small example to demonstrate correctness and edge cases.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.