The basic O(n^2 * m) nested loop solution took maybe five minutes to write but they immediately asked me to do better.
Start by clarifying the problem and edge cases, then propose a brute-force solution and analyze its complexity. Next, describe at least two optimized approaches (e.g., sorting by length and using a trie, or sorting lexicographically and checking adjacent strings) with their time/space trade-offs. Finally, discuss how to handle duplicates and return any valid string.
Pro tip: Mention that sorting by length and using a trie is a common efficient approach, but also note that sorting lexicographically and checking adjacent strings works because if a string contains another, they will be adjacent in sorted order. This shows depth and awareness of trade-offs.
Confirm the problem: return any string that contains another string from the list as a contiguous substring, or empty string if none. Discuss edge cases like empty list, duplicates, and strings of same length.
Propose checking all pairs: for each string, check if any other string is a substring. Analyze time complexity O(n^2 * L^2) or O(n^2 * L) with efficient substring search, and space O(1) extra.
Sort strings by length ascending. Insert all strings into a trie. For each string, check if it contains any shorter string by traversing the trie. Time O(n * L^2) or O(n * L) with Aho-Corasick, space O(n * L).
Sort strings lexicographically. If a string contains another, they must be adjacent in sorted order. Check each adjacent pair for substring. Time O(n log n * L + n * L^2) or O(n log n * L) with efficient substring search, space O(1) extra.
Compare approaches: trie is better for many strings with shared prefixes; sorting lexicographically is simpler and often faster in practice. Mention that the choice depends on constraints and that returning any valid string is acceptable.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.