The interactive part tripped me up more than I expected.
Start by clarifying the problem constraints: word length, candidate list size, and whether guesses must be from the list. Then propose an information-theoretic strategy: use a scoring function to evaluate each candidate guess by how evenly it partitions the remaining possibilities based on the match count, and iteratively narrow down the list. Discuss trade-offs between optimal worst-case performance and computational feasibility, and mention practical optimizations like precomputation or heuristics.
Pro tip: Emphasize that the optimal strategy depends on the candidate list size and word length; for small lists, exhaustive search is fine, but for large lists, you need a greedy heuristic like minimizing the expected remaining candidates. Also, mention that the first guess should maximize information gain, often by choosing a word with diverse letters, not necessarily from the list.
Ask about word length, size of candidate list, whether guesses must be from the list, and if the secret word is guaranteed to be in the list. This ensures you design the right strategy.
Treat each guess as a query that partitions the candidate set based on the number of exact matches. The goal is to reduce the candidate set to one within 10 guesses.
For each possible guess, compute the distribution of match counts over the remaining candidates. Choose the guess that minimizes the maximum or expected remaining candidates (e.g., entropy or worst-case size).
After each guess, filter the candidate list to those consistent with the received match count. Repeat until one candidate remains or guesses are exhausted.
Discuss time/space complexity of the strategy, and trade-offs between optimality and efficiency. Mention potential optimizations like precomputing partitions or using heuristics for large lists.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.