My first instinct was to just throw everything in a list and scan linearly, which would have been fine to say out loud but felt embarrassing to lead with at Google.
Start by clarifying requirements and constraints, then propose a data structure that supports efficient add and allocate operations. Discuss trade-offs between different approaches, such as using a hash map of queues versus a balanced BST, and analyze time and space complexity. Finally, outline the implementation details and consider edge cases.
Pro tip: Mention that you would use a hash map from party size to a queue of arrival times, but also consider whether arrival times are globally unique and if you need to maintain global order for other operations. This shows you think about real-world constraints and scalability.
Ask about expected operation frequency, constraints on party sizes, whether arrival times are unique, and if there are additional operations like cancel or check availability.
Propose a hash map mapping party size to a queue (FIFO) of arrival times. Discuss alternatives like a balanced BST keyed by (party size, arrival time) for ordered operations.
For the hash map + queue approach, add is O(1) and allocate is O(1) amortized. For BST, both are O(log n). Compare trade-offs in terms of simplicity and additional operations.
Write pseudocode for add: append arrival time to the queue for the given party size. For allocate: if queue for table size exists and non-empty, pop the earliest arrival time and return it; else return null.
Discuss handling of empty queues, non-existent party sizes, and potential extensions like waiting time estimation or priority for larger parties.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
First, clarify the problem: we need to find the earliest-arriving party with size ≤ table size. Then, propose a data structure that efficiently supports this operation, such as a balanced BST or a segment tree over party sizes, and analyze its time complexity. Finally, discuss trade-offs and potential optimizations.
Pro tip: Mention that you would use a TreeMap (or equivalent) to store parties by arrival time and a segment tree to query the smallest size ≥ table size, showing awareness of both time and space trade-offs.
Confirm that 'earliest-arriving' means the party that arrived first among those with size ≤ table size, and that we need to find such a party for each allocate call.
Propose maintaining a data structure keyed by party size to quickly find the smallest size ≥ table size, and another to track arrival order, such as a queue or timestamp.
Outline an algorithm: for a given table size, query the size-based structure for the smallest size ≥ table size, then among parties of that size, pick the one with the earliest arrival time.
State the time complexity for allocate (e.g., O(log n) with a balanced BST) and space complexity, and compare with naive approaches.
Mention potential optimizations, handling of no available party, and how the solution scales with many allocate calls.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.