My first instinct was just a min-heap on deadlines and I started coding that up before I actually read the prerequisite part carefully.
Start by clarifying requirements and constraints, then propose a design that maintains a dependency graph and a priority queue of executable tasks. Explain how AddTasks updates the graph and queue, and how ConsumeTask efficiently retrieves the earliest-deadline executable task while updating dependents.
Pro tip: Discuss how to handle dynamic task additions and potential cycles, and mention that you would use a min-heap with lazy deletion or a balanced tree for efficiency. Also, consider thread-safety if the system is concurrent.
Ask about task properties (ID, deadline, prerequisites), expected operations, concurrency needs, and error handling (e.g., cycles, missing prerequisites).
Propose a directed graph (adjacency list) for dependencies, a min-heap for executable tasks keyed by deadline, and a map from task ID to task details and dependency counts.
For each new task, add to the graph, update dependency counts, and if it has no prerequisites, push it onto the heap. Handle duplicate IDs and cycles.
Pop the min-deadline task from the heap, mark it consumed, and for each dependent task, decrement its prerequisite count; if it reaches zero, push it onto the heap. Return NO_TASK if heap is empty.
Discuss time complexity: O(log n) for heap operations, O(E) for dependency updates. Mention alternative approaches (e.g., topological sort with priority) and their trade-offs.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.