Looked simple and then I started listing edge cases and it just kept growing.
Clarify the exact rules for a valid number, then propose a deterministic finite automaton (DFA) or regex-based solution. Walk through the state transitions for each character, handling signs, digits, decimal points, and exponents, and test with edge cases.
Pro tip: Mention that a DFA is more efficient and easier to reason about than regex, and that you can implement it in O(n) time with O(1) space. Also, proactively discuss how you would handle Unicode digits or leading/trailing whitespace if the interviewer asks.
Ask whether leading/trailing spaces are allowed, if the number can be empty, and if only ASCII digits are considered. Confirm that the exponent part must be an integer (no decimal point).
Outline the valid components: optional sign, integer part, optional decimal part, optional exponent part. Sketch a DFA with states like start, sign, integer, dot, fraction, exponent, exponent sign, and accept/reject.
Code the DFA with a switch or if-else chain, updating the state for each character. Alternatively, use a well-crafted regex, but be prepared to explain its limitations.
Run through examples: '0.1', '+3.14', '2e10', '3e+7', '1e', 'e3', '99e2.5', '--6', '.', '1.', '.1', '1e+', '1e-'. Verify that the solution correctly accepts or rejects each.
State that the DFA approach is O(n) time and O(1) space. Compare with regex (which may be less efficient and harder to debug) and built-in parsing (which may accept invalid formats or be too permissive).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.