Spent way too long confused by the time-based aspect.
Start by clarifying the requirements: what metric (sum, average, count, etc.), window type (fixed or sliding), and data characteristics (arrival rate, value range). Then propose a design using a deque for O(1) amortized operations, and discuss trade-offs with alternative approaches like circular buffers or balanced trees. Finally, analyze time and space complexity and consider edge cases.
Pro tip: Explicitly discuss how you would handle out-of-order timestamps and late-arriving data, as this is a common real-world complication that interviewers at Google often probe.
Ask about the metric (sum, average, max, etc.), window definition (time-based, fixed size, sliding), and data properties (arrival order, value range, update frequency).
Propose a deque for O(1) amortized insertion and eviction, or a balanced BST for ordered statistics if needed. Justify your choice based on the metric and constraints.
Define methods for adding a value with timestamp, evicting expired values, and querying the current metric. Ensure each operation meets the required time complexity.
State the time and space complexity for each operation, and discuss trade-offs between different data structures (e.g., deque vs. heap vs. balanced tree).
Address empty window, out-of-order timestamps, duplicate timestamps, and high-frequency updates. Mention how to adapt the design if needed.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.