I went in thinking this was a simple regex or character scan problem.
Clarify the exact grammar rules (spaces, signs, digits, decimal point, exponent) and then implement a deterministic finite automaton (DFA) that processes the string character by character. Alternatively, use a well-structured regex, but be prepared to explain the DFA states and transitions.
Pro tip: Mention that you would first trim spaces and then validate the remaining string with a state machine, handling edge cases like '.', 'e', and '+/-' positions explicitly; this shows attention to detail and robustness.
Ask about allowed formats: leading/trailing spaces, signs, decimal points, exponent rules, and whether empty string or just spaces are valid. Confirm that signs are only at start or after 'e/E'.
Outline the valid patterns: optional spaces, optional sign, digits with optional decimal, optional exponent part. Map out states (e.g., start, integer part, fraction part, exponent part) and transitions.
Write a function that iterates through characters, updating state and flagging invalid transitions. Alternatively, use a regex but be ready to explain its components.
Run through examples: '0', ' 0.1 ', '2e10', '-90E3', '1e', 'e3', '.', ' ', 'abc', '1.2.3', '+.8', '5.' etc., to ensure correctness.
State time complexity O(n) and space O(1) for DFA; discuss regex readability vs. performance and maintainability.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.