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My first instinct was to just cast to float and call it a day, and the interviewer shut that down immediately.
Clarify the problem constraints and edge cases first, then outline a string-based algorithm that aligns the precision to the value's decimal representation. Implement the rounding by examining the digit after the rounding position, handling carries and trailing zeros, and finally validate with examples.
Pro tip: Mention that you would test edge cases like negative numbers, exact halfway values, and precision larger than the value's magnitude, and discuss how to handle them consistently (e.g., round half up).
Ask about negative numbers, rounding mode (half-up, half-even), precision formats (e.g., '100', '0.1'), and whether the result should preserve trailing zeros. Confirm that the precision is always a power of 10.
Convert both strings to a common format: remove decimal points by scaling to integers, or align decimal places. Determine the rounding position relative to the value's decimal point.
Identify the digit at the rounding position and the next digit. If the next digit is >=5, increment the rounding digit and propagate carries leftward; otherwise, truncate. Handle decimal point placement and trailing zeros.
Address cases where precision is larger than the value (result is 0 or the value itself), negative numbers (apply rounding to absolute value and reapply sign), and exact halfway values according to the chosen rounding mode.
Walk through provided examples and additional edge cases (e.g., '999' rounded to '10' -> '1000', '0.5' rounded to '1' -> '1'). Verify that the output is a string with correct formatting.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.