This one took me a minute to even set up properly.
Model the ownership hierarchy as a directed graph and use BFS from each camera to find all users with access, then intersect the sets to find admins with access to every camera. Alternatively, reverse the graph and propagate access from users to cameras, tracking visited groups to handle cycles. Clearly state assumptions about admin privileges and input representation before diving into the algorithm.
Pro tip: Mention that in production systems like Verkada's, you'd likely precompute and cache access lists or use a graph database to avoid repeated traversals, and discuss trade-offs between eager and lazy evaluation.
Define the data structures: users, groups, cameras, and relationships (user->camera, user->group, group->camera, group->group). Clarify what 'admin user' means and whether admins have implicit access.
Decide between forward (user to camera) or backward (camera to user) traversal. Use a visited set to avoid infinite loops in cyclic group memberships.
For each camera, perform BFS from the camera node following reverse edges to find all users with access. Collect these users into a set per camera.
Compute the intersection of all per-camera user sets, then filter to only admin users. If any camera has no users, the result is empty.
State time complexity O(C * (V + E)) for C cameras, and space O(V + E) for the graph plus O(U) for sets. Mention optimizations like early termination or bitsets.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.