The float division route works but you're asking for precision bugs.
Start by clarifying the problem constraints and edge cases, then propose a single-pass linear scan that computes the rating-to-price ratio for each item while tracking the maximum ratio and its index. Emphasize that ties are handled by only updating when a strictly greater ratio is found, ensuring the smaller index is returned.
Pro tip: Mention that using floating-point division can introduce precision issues; instead, compare ratios using cross-multiplication (rating1 * price2 vs rating2 * price1) to avoid floating-point errors, especially when dealing with large numbers or when exact tie-breaking is critical.
Ask about input size, data types (e.g., integers vs floats), possibility of zero or negative prices, and whether the list can be empty. Confirm that ties should return the smaller index.
Select a simple linear scan (O(n) time, O(1) space) since we only need to track the best ratio and its index. Avoid sorting or extra data structures unless necessary.
Decide whether to use floating-point division or cross-multiplication to compare ratios. Cross-multiplication avoids precision issues and is exact for integer inputs.
Initialize best index to 0 and best ratio to the first item's ratio. Iterate from index 1 to n-1, updating only when the current ratio is strictly greater than the best ratio, ensuring ties keep the smaller index.
Walk through edge cases: empty list, single item, all equal ratios, negative prices, and large numbers. Verify that the tie-breaking rule works as expected.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.