I got the basic structure down pretty quickly, a map where each key points to another map of candidates and their frequencies.
Start by clarifying the requirements and constraints, then design the data structure as a nested hash map (word -> {next_word: count}). Implement record and predict methods, ensuring predict efficiently finds the max count. Finally, analyze time/space complexity and discuss extensions to n-grams, including trade-offs and optimizations.
Pro tip: Mention that predict can be optimized by maintaining a max-heap or caching the top prediction per word, but note the trade-off with update complexity. Also, discuss handling ties and unseen words gracefully.
Ask about input size, expected frequency of record vs predict, memory limits, and whether ties need deterministic resolution. This shows you consider real-world usage.
Propose a hash map where each key is a word and the value is another hash map mapping next words to their counts. Discuss why this gives O(1) average record time.
For record, increment the count in the inner map. For predict, iterate over the inner map to find the word with the maximum count, handling ties (e.g., return any or the lexicographically smallest).
Record: O(1) average time, O(1) space per new pair. Predict: O(k) time where k is the number of distinct next words for prev, O(1) extra space. Overall space: O(total distinct pairs).
Generalize by using a tuple of n-1 words as the key, mapping to next-word counts. Discuss increased space and potential sparsity, and mention smoothing or backoff techniques.
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