I started with a basic map from id to node and got addEmployee working pretty quickly.
Start by clarifying requirements and defining the data structures (e.g., a map from ID to Employee and a tree structure). Then walk through the core operations (add, delete) and edge cases (deleting a manager, root, cycle prevention), discussing trade-offs and possible solutions. Conclude by summarizing the design and its complexity.
Pro tip: Explicitly discuss the trade-offs between different deletion strategies (e.g., reassigning children vs. cascading delete) and how they affect data integrity and performance. Also, mention that cycle prevention can be enforced by checking ancestry before adding a new relationship.
Ask questions to understand constraints: Can an employee have multiple managers? Should deletion be soft or hard? What are the expected operation frequencies? This shows you think before coding.
Propose using a hash map for O(1) employee lookup by ID and a tree structure (e.g., each employee has a list of direct reports) for hierarchy. Mention that a parent pointer can help with cycle detection.
Describe addEmployee(managerId, employee) and deleteEmployee(employeeId). For add, ensure no cycle by checking if the new manager is a descendant of the employee. For delete, handle different cases.
Discuss deleting a manager (reassign reports to the manager's manager or cascade delete), deleting the root/CEO (disallow or promote a successor), and preventing cycles (ancestry check).
Compare strategies: reassigning vs. cascading delete in terms of data loss and performance. State time/space complexity for each operation and discuss scalability.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.
First, clarify the data structure and constraints: the hierarchy is a tree, and we need to find the most senior employee in the subtree rooted at the manager being deleted. Then, define a deterministic tie-breaking rule, such as smallest employee ID or alphabetical order, and discuss how to implement the search efficiently, possibly with a precomputed data structure.
Pro tip: Mention that in a real system, you'd likely maintain a priority queue or sorted structure per subtree to avoid O(n) searches, and that tie-breaking should be consistent and documented to avoid ambiguity.
Ask whether the tree is static or dynamic, and whether we need to support frequent deletions. Clarify what 'seniority level' means (e.g., numeric value) and whether ties are possible.
State that we want the employee with the highest seniority level in the subtree. If multiple have the same level, apply a deterministic tie-breaker like smallest employee ID or earliest hire date.
For a single query, a DFS/BFS traversal of the subtree works. For frequent queries, precompute for each node the best candidate in its subtree using a post-order traversal, or use a segment tree/heap per subtree.
When seniority levels are equal, compare secondary keys (e.g., employee ID). Ensure the tie-breaker is consistent and explain how it integrates into the comparison logic.
Mention time/space trade-offs: O(n) per query vs O(n) preprocessing and O(1) query. Also consider if the tree changes dynamically, requiring updates to precomputed data.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.