I jumped straight to the vertical scan approach (compare character by character across all strings at the same index) which works fine, but then they asked me to walk through other ways to do it.
Start by clarifying the problem constraints (e.g., input size, character set) and then propose a vertical scanning approach that compares characters column by column across all strings. Discuss time and space complexity, and mention alternative strategies like divide-and-conquer or binary search for trade-offs. Finally, walk through a concrete example to validate the solution.
Pro tip: Mention that in a machine learning context, this problem mirrors feature extraction where common patterns are identified across data points, and highlight that early termination can significantly optimize performance for large datasets.
Ask about input size, character set, and whether the array can be empty or contain empty strings. Discuss how to handle these edge cases.
Describe the vertical scanning approach: iterate through characters of the first string and compare with the same position in all other strings until a mismatch is found.
State that time complexity is O(S) where S is the sum of all characters, and space is O(1). Compare with horizontal scanning, divide-and-conquer, and binary search, noting when each might be preferable.
Use a sample input like ['flower','flow','flight'] to demonstrate how the algorithm finds 'fl' and terminates early when a mismatch occurs.
Mention early termination, and relate the problem to ML tasks like finding common features across embeddings or preprocessing text data for model training.
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