My first instinct was to treat it as a topological sort problem, which is basically right, but I fumbled explaining why for a bit.
Start by clarifying requirements and constraints, then model the dependencies as a directed graph and use topological sorting to determine installation order. Discuss handling cycles, parallel installations, and trade-offs between different algorithms and data structures.
Pro tip: Demonstrate awareness of real-world package managers by mentioning version constraints and conflict resolution, and discuss how to scale the solution for large dependency graphs.
Ask about the scale of the system, whether dependencies can have version constraints, and if parallel installation is needed. Confirm the expected output format and error handling for cycles.
Represent packages as nodes and dependencies as directed edges. Explain that a topological sort will provide a valid installation order.
Select between Kahn's algorithm (BFS-based) or DFS-based topological sort. Discuss using adjacency lists and in-degree counts for efficiency.
Address cycles (detect and report), parallel installation of independent packages, and incremental updates. Mention caching or memoization for repeated installs.
Compare time/space complexity of approaches, and discuss how to handle large graphs, distributed systems, and version resolution.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.