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The operand order for '+' and '-' tripped me up more than I expected.
Clarify the exact semantics of each operation and error conditions, then outline a stack-based simulation with careful edge-case handling. Discuss time/space complexity and potential optimizations or trade-offs before coding.
Pro tip: Explicitly define what constitutes an 'illegal state' (e.g., insufficient operands, division by zero, stack underflow) and confirm with the interviewer; this shows attention to detail and prevents ambiguity.
Ask about token types, error handling (e.g., return error message or exception), integer overflow, and whether division is integer or float. Confirm stack behavior for each operation.
Use a stack (list) to store integers. Iterate through tokens: push numbers, apply ops on top two elements (checking for at least two), DUP duplicates top (check non-empty), POP removes top (check non-empty).
For each operation, validate preconditions (e.g., stack size >= 2 for arithmetic, >= 1 for DUP/POP). Return an error immediately if violated. Also handle empty stack at end (return error or 0?).
Time: O(n) for n tokens, space: O(n) worst-case. Discuss if a more memory-efficient approach exists or if error handling could be optimized.
Walk through a sample input like '3 4 + DUP *' to verify correctness, and test error cases like '1 +' or 'POP' on empty stack.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.