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Clarify the problem, then present the sweep line algorithm: separate start and end times, sort them, and use two pointers to count concurrent meetings, tracking the maximum. Alternatively, use a min-heap to track end times. Analyze time and space complexity, and discuss trade-offs.
Pro tip: Mention that the sweep line approach is optimal and can be implemented in O(n log n) time, and that the heap approach is intuitive but may have higher constant factors. Also, discuss how to handle edge cases like empty input or back-to-back meetings.
Ask if intervals are inclusive/exclusive, if input is sorted, and if we need to return the number or the actual schedule.
Decide between sweep line (sorting starts and ends) or min-heap (sort by start, push end times). Explain why one might be preferred.
Describe step-by-step how to compute the minimum rooms, using a small example to illustrate.
State time and space complexity: O(n log n) time due to sorting, O(n) space for arrays or heap.
Mention handling empty input, single meeting, all overlapping, and potential optimizations like using counting sort if times are bounded.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
Start by clarifying requirements and constraints, then propose a design using a hash map for O(1) token operations and a min-heap or balanced BST for efficient expiration tracking. Discuss trade-offs between lazy and eager expiration, and how to maintain an accurate count of unexpired tokens.
Pro tip: Mention that you would use a min-heap keyed by expiration time to efficiently remove expired tokens, and that lazy deletion can be combined with periodic cleanup to balance performance and memory. Also, highlight the importance of thread safety in a production system.
Ask about expected scale, concurrency needs, token format, and whether TTL is fixed or configurable per token. Confirm if tokens are opaque strings or have structure.
Propose a hash map (token -> expiration time) for O(1) lookup and renewal, and a min-heap (expiration time -> token) for efficient expiration. Discuss alternatives like a balanced BST or time-wheel.
Outline methods: generateToken(ttl) creates a token, stores it, and adds to heap; renewToken(token, newTtl) checks expiration, updates map and heap; countUnexpired() returns size after cleaning expired tokens.
Explain lazy expiration: on count or renew, pop expired tokens from heap and remove from map. Discuss periodic cleanup or eager expiration for real-time accuracy.
Mention thread safety via locks or concurrent data structures. Cover edge cases: token renewal after expiry, duplicate tokens, clock skew, and memory management.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.