This one messed with me more than I expected.
Design a distributed aggregation protocol where each node, upon receiving a request, asynchronously queries all its children, waits for their responses, and replies to its parent with the sum of child counts plus one. Emphasize the use of unique request IDs to match responses and handle asynchronous communication without blocking.
Pro tip: Mention that the protocol should be robust to node failures or delays by incorporating timeouts and retries, and that the root can initiate the process by sending a message to itself or by having a designated start signal.
Specify the message formats for request and response, including fields like request ID, sender ID, and count. Describe how a node processes a request: it forwards the request to all children and waits for their responses.
Explain how a node tracks outstanding responses from its children, using a counter or promise-based approach, and how it aggregates the counts once all responses are received.
Detail how a node knows when it has received all child responses (e.g., by knowing its number of children or using a timeout) and then sends the total count to its parent.
Discuss handling of leaf nodes (immediate response with count 1), node failures (timeouts, retries), and duplicate messages (idempotency via request IDs).
Mention the time complexity (proportional to tree height) and message complexity (2 messages per edge), and discuss trade-offs between latency and reliability.
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