← Anthropic Interview Insights
My first instinct was to reach for a trie immediately, which I think actually hurt me because I spent a minute talking about it before writing anything.
Start by clarifying the problem: vocabulary is a set of strings, input is text, and we need to segment using longest-match-first. Then implement a straightforward solution that scans the text, at each position tries the longest possible vocabulary word, and if none matches, handles the unknown character gracefully (e.g., emit it as a single token or skip it) to avoid infinite loops. Finally, analyze the time complexity and discuss how a trie can improve efficiency.
Pro tip: Mention edge cases like empty vocabulary, empty input, and overlapping matches; also note that longest-match-first is greedy and may not always yield the optimal segmentation, which is a good segue into discussing trade-offs.
Confirm the definition of vocabulary (set of strings), input text (string), and the longest-match-first rule. Ask about handling unknown characters: should they be emitted as-is, skipped, or cause an error? Also clarify if the vocabulary can contain multi-character strings and if case sensitivity matters.
Outline a simple algorithm: iterate over the input text with an index i. At each i, find the longest vocabulary word that matches the substring starting at i. If found, emit it and advance i by its length. If not, handle the unknown character (e.g., emit it as a single-character token) and advance i by 1 to guarantee progress.
Write code for the algorithm, ensuring no infinite loops by always advancing the index. Test with cases: normal segmentation, unknown characters, empty input, empty vocabulary, and overlapping vocabulary words.
For the naive approach, at each position i, we may check up to L vocabulary words (where L is the max word length) and compare strings of length up to L, leading to O(N * L^2) worst-case time, or O(N * L * V) if checking each vocabulary word. Discuss how a trie can reduce this to O(N * L) by allowing efficient prefix matching.
Explain how a trie (prefix tree) built from the vocabulary enables matching in O(L) per position by traversing characters, and how to find the longest match by keeping track of the last terminal node encountered. This reduces the overall time to O(N * L) and is more efficient for large vocabularies.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.