The naive version took me like two minutes, just a hashmap and a running total variable.
Start by clarifying requirements and constraints, then design a simple hash map for per-driver balances and a running total for O(1) updates and total queries. For the follow-ups, discuss trade-offs: caching the total with incremental updates, and for cumulative totals after k updates, consider prefix sums or a Fenwick tree (BIT) to answer queries efficiently.
Pro tip: Mention that you'd keep the running total consistent with updates by updating it atomically in the same operation, and for the cumulative query follow-up, note that if updates are known in advance, you can precompute prefix sums; otherwise, a Fenwick tree gives O(log n) per query and update.
Ask about expected number of drivers, update frequency, query patterns, and whether balances can be negative. Confirm if operations need to be thread-safe.
Use a hash map (driver_id -> balance) for per-driver balances and maintain a running total. Explain that apply_delta updates both the map and total in O(1), get_balance is O(1), and get_total_balance is O(1).
Since total is maintained incrementally, get_total_balance is already O(1). Discuss trade-offs: if updates are batched, you might recompute total periodically, but incremental is best for frequent queries.
For queries like 'total after first k updates', if updates are known in advance, precompute prefix sums of deltas. For dynamic updates, use a Fenwick tree (BIT) over the sequence of updates to get prefix sums in O(log n).
Compare approaches: simple running total vs. Fenwick tree for cumulative queries. Mention memory vs. speed, and how to handle concurrency (e.g., locks or atomic operations).
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Start by clarifying that the intervals are closed and the input list may be unsorted. Then propose sorting by start time and using a linear scan to merge overlapping intervals, explaining the logic and edge cases. Finally, analyze time and space complexity.
Pro tip: Mention that sorting is necessary for an efficient O(n log n) solution, and that in-place merging can save space if the input can be modified. Also, discuss how to handle edge cases like empty input or intervals that touch at endpoints.
Confirm that intervals are closed (e.g., [1,3] and [3,5] overlap), input may be unsorted, and handle empty or single-interval lists.
Sort the list of intervals based on their start times to bring potential overlaps together, enabling a linear scan.
Initialize a result list with the first interval. For each subsequent interval, if it overlaps with the last interval in the result, merge them by updating the end time; otherwise, add it to the result.
State that time complexity is O(n log n) due to sorting, and space complexity is O(n) for the output (or O(1) extra if merging in-place). Mention that in-place merging is possible if the input can be modified.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.