My first instinct was to just iterate through all pairs and check each substring, which is technically correct but I fumbled the complexity analysis when they pushed back.
First, clarify the problem constraints and edge cases, such as string length and dictionary size. Then, propose an efficient algorithm that checks all substrings of length >=3, possibly using a trie or set for O(1) lookups, and analyze its time and space complexity. Finally, discuss potential optimizations or alternative approaches, considering trade-offs.
Pro tip: Demonstrate awareness of the brute-force O(n^3) approach and then optimize by noting that if any substring of length k is invalid, all longer substrings containing it are also invalid, allowing early termination. This shows you think about pruning and efficiency.
Ask about input size limits, dictionary size, and whether the string can be empty or contain non-letter characters. Confirm that 'contiguous substring' means any substring, not just those starting at certain positions.
Describe checking every substring of length >=3 by generating all O(n^2) substrings and verifying each against the dictionary, leading to O(n^3) time if using naive string comparison. This establishes a baseline.
Propose using a hash set or trie for O(1) or O(L) dictionary lookups (L = word length). Then, iterate over all start positions and lengths, but note that if a substring of length k is invalid, any longer substring containing it is also invalid, so we can break early.
Calculate time complexity: worst-case O(n^3) if no early termination, but with pruning it can be much better. Space complexity O(D) for dictionary storage. Discuss trade-offs between preprocessing the dictionary (e.g., building a trie) and on-the-fly lookups.
Walk through simple examples like 'abc' with dictionary containing 'abc', and edge cases like empty string, string length <3, and strings with repeated characters. Verify the algorithm returns correct results.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.