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Problem Decomposition Questions

Break complex problems into smaller, manageable subproblems and solution components. Demonstrate how to identify the root problem, extract core patterns, choose appropriate approaches for each subproblem, sequence work, and integrate partial solutions into a coherent whole. For technical roles this includes recognizing algorithmic patterns, scaling considerations, edge cases, and trade offs. For non technical transformation work it includes logical framing, hypothesis driven decomposition, and measurable success criteria for each subcomponent.

MediumTechnical
125 practiced
Design an observability plan for a new microservice. Decompose into metrics (latency histograms, p95/p99, error rates, throughput), logs (structured, correlation IDs), distributed tracing spans, SLOs and alerting rules, dashboards, and sampling/tracing strategy. Define measurable SLO targets and describe how you would validate them in production.
MediumTechnical
60 practiced
An API endpoint is experiencing increased tail latency. Provide a decomposed triage plan: collect high-level metrics (p50/p95/p99), gather traces for slow requests, inspect database slow queries, check thread/connection pools, examine GC logs and CPU load, and run targeted load and profiling. For each diagnostic step indicate what evidence would point to that layer as the root cause.
EasyTechnical
82 practiced
Explain the difference between top-down and bottom-up decomposition in software design. Use the example of building a RESTful user-profile microservice to show the sequence of steps for each approach, the typical risks and benefits, and when you'd prefer one over the other in a team or product context (time-to-delivery, reuse, feasibility).
HardTechnical
119 practiced
Design an ANN (approximate nearest neighbor) system for vector search over 1B vectors of 128 dimensions with a latency target of ~1-5ms per query. Decompose the system into index selection (HNSW, IVF, LSH), quantization (PQ), sharding and routing, re-ranking step, and index update strategies. Explain trade-offs between recall, latency, and storage, and justify an approach for the given scale and latency target.
HardTechnical
69 practiced
A CPU-bound function accounts for 60% of CPU across your fleet. Decompose how you would investigate and optimize it: collect profiles (sampling and instrumentation), isolate hot code paths, write microbenchmarks, consider algorithmic changes, add caching or memoization, and explore parallelization. Provide an experimental plan with measurable goals and rollback safeguards for production changes.

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