Classic directed graph problem dressed up as a scheduling puzzle.
Model the courses and prerequisites as a directed graph and check for cycles using either Kahn's algorithm (BFS topological sort) or DFS with recursion stack. If a topological ordering exists, all courses can be completed; otherwise, a cycle prevents completion.
Pro tip: Mention that this is essentially cycle detection in a directed graph, and that Kahn's algorithm is often preferred in interviews because it's iterative and avoids recursion depth issues. Also, briefly discuss how this applies to real ML pipelines where dependencies must be resolved.
Confirm that courses are nodes and prerequisites are directed edges (e.g., A -> B means A must be taken before B). Ask about input format and constraints.
Select either Kahn's algorithm (BFS topological sort) or DFS with cycle detection. Explain the trade-offs in terms of simplicity and recursion limits.
For Kahn's: compute in-degrees, use a queue, and count processed nodes. For DFS: track visited and recursion stack to detect back edges.
State time and space complexity (O(V+E)). Discuss edge cases like empty input, disconnected graphs, and self-loops.
Connect to ML pipeline dependency resolution, ensuring no circular dependencies in training workflows or data processing steps.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.