I grouped events by book_id and iterated through each book's sorted events tracking the last seen action.
Use a hash map to track the last known state (checked out or not) for each book as you iterate through the logs. For each log, validate that the action is consistent with the current state: a checkout requires the book to be not checked out, and a return requires it to be checked out. If any inconsistency is found, return False; otherwise, return True after processing all logs.
Pro tip: Clarify whether the logs are guaranteed to be sorted by timestamp; if not, you must sort them first, which affects complexity. Also, explicitly state that you assume each book starts in the 'returned' state, and mention that you can optimize space by only storing books that are currently checked out.
Ask if the logs are sorted chronologically and if timestamps are unique. Confirm that each book starts in the 'returned' state and that the sequence must strictly alternate.
Use a hash map (dictionary) to track the current state of each book. Initialize an empty map, assuming all books are initially not checked out.
For each log, check the action against the book's current state: if is_checkout is True, the book must not be checked out; if False, it must be checked out. Update the state accordingly.
If any log violates the alternation rule, immediately return False. After processing all logs, return True.
State that the time complexity is O(n) for n logs (or O(n log n) if sorting is needed), and space complexity is O(b) for b distinct books, which is O(n) in the worst case.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.