The base problem is already one of those recursive parsing questions that looks manageable until you actually try to write it.
Clarify the grammar and error handling expectations, then propose a recursive descent parser that evaluates expressions on the fly. Emphasize robust error detection with clear error indicators and discuss trade-offs between parsing strategies.
Pro tip: Mention that you would define a formal grammar first and use it to guide both parsing and error handling, showing a systematic approach that impresses interviewers.
Ask about the exact syntax, supported operations, and how errors should be indicated. Define a formal grammar for the expressions.
Choose a recursive descent parser for simplicity and direct evaluation. Discuss tokenization and handling of nested expressions.
Write functions for each grammar rule that return either a value or an error. Propagate errors and validate tokens, parentheses, and operand types.
Walk through test cases including valid expressions, mismatched parentheses, unknown tokens, and division by zero (if applicable).
Compare recursive descent with other parsing methods (e.g., stack-based) and mention how to extend for more operations or variables.
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