The twist is you don't get the full graph upfront.
Model the problem as a directed graph where nodes are packages and edges represent dependencies, then perform a topological sort to determine a valid build order. Use DFS with cycle detection or Kahn's algorithm, ensuring all dependencies are built before the target. Return the order or signal a cycle if detected.
Pro tip: Clarify whether the API returns direct dependencies only and if the graph is acyclic; mention that you'll cache results to avoid redundant API calls, which is crucial for efficiency in real-world systems.
Ask if the API returns direct dependencies only, if the graph is guaranteed acyclic, and what to return on cycle (empty list or error). Confirm if the target package itself should be included in the build order.
Represent packages as nodes and dependencies as directed edges. Decide between DFS with recursion stack for cycle detection or Kahn's algorithm (BFS with in-degree) for topological sorting.
Traverse the graph starting from the target, recursively fetching dependencies via the API. Use a visited set and a recursion stack (or in-degree counts) to detect cycles and build the order.
If a cycle is detected, return an empty list or throw an error as specified. Otherwise, return the build order ensuring dependencies appear before dependents.
Mention caching API results to avoid repeated calls, and discuss time/space complexity (O(V+E)). Consider iterative vs recursive DFS for large graphs to avoid stack overflow.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.