The base problem is basically a known leetcode question but they layered on a bunch of extras.
Clarify requirements and edge cases, then propose a two-stack or recursive descent approach that respects operator precedence. Walk through the algorithm step-by-step, handle edge cases explicitly, and analyze time/space complexity.
Pro tip: Mention that you would use a sentinel value or exception for division by zero and discuss how to handle it gracefully, showing you think about robustness and user experience.
Ask about input format, expected output, and how to handle edge cases like empty input, whitespace, trailing operators, and division by zero. Confirm whether unary operators or parentheses are needed.
Select a two-stack approach (operands and operators) or recursive descent parsing to handle operator precedence. Explain why it works and its time/space complexity.
Describe how to process tokens: push numbers, apply operators based on precedence, and handle parentheses if applicable. Show how to evaluate the expression step by step.
Explicitly address empty input, whitespace-only strings, trailing operators, and division by zero. Discuss how to detect and respond to each case (e.g., return 0, throw an error, or return a special value).
State time and space complexity (O(n) time, O(n) space). Mention potential optimizations or alternative approaches, and discuss trade-offs.
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