I've done this problem before so I wasn't totally lost, but I fumbled explaining the subtractive case logic out loud.
Start by clarifying the Roman numeral rules, especially the subtractive notation (e.g., IV = 4, IX = 9). Then propose a solution that iterates through the string, comparing each character's value with the next to decide whether to add or subtract. Finally, discuss time and space complexity and consider edge cases.
Pro tip: At Apple, interviewers value clean, efficient code and clear communication. Before coding, walk through a few examples (e.g., 'MCMXCIV' = 1994) to demonstrate your understanding and catch off-by-one errors early.
Ask about input validity (e.g., will the string always be a valid Roman numeral?) and the range of values (1 to 3999). Confirm the subtractive notation rules.
Explain that you'll map each symbol to its value, then iterate left to right. If the current value is less than the next, subtract it; otherwise, add it.
Write clean code with a hash map for symbol values and a loop that handles the comparison. Use a single pass for O(n) time and O(1) space.
Walk through test cases like 'III' (3), 'IV' (4), 'IX' (9), 'LVIII' (58), and 'MCMXCIV' (1994) to verify correctness.
State that time complexity is O(n) and space is O(1). Mention edge cases like empty string, single character, and invalid input handling.
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