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My first instinct was to just store a set of (advertiser, group) pairs and call it a day.
Start by clarifying requirements and defining the API, then implement a flat dictionary solution to establish a baseline. Next, design a tree-backed structure where each node stores its own access set and children, enabling O(1) grant/revoke and O(depth) check_access by walking up to the root. Discuss trade-offs, optimizations, and test cases.
Pro tip: Emphasize the trade-off between simplicity and performance: the flat dictionary is easy but slow for checks, while the tree is efficient but requires careful handling of inheritance and revocation. Also, mention that in practice, caching or precomputing effective permissions can further optimize check_access for read-heavy workloads.
Ask questions to understand the scope: Are groups hierarchical? Can advertisers belong to multiple groups? What are the expected read/write ratios? Define the methods: grant_access(advertiser, group), revoke_access(advertiser, group), check_access(advertiser, group).
Propose a simple solution using a dictionary mapping group IDs to sets of advertisers. Explain that grant and revoke are O(1) but check_access requires traversing all ancestors, leading to O(depth) per check if hierarchy is considered, or O(1) if flat but ignoring inheritance.
Describe a tree where each node represents a group and stores a set of advertisers with direct access. Children inherit access from parents. grant_access adds to the node's set; revoke_access removes from the node's set. check_access walks up from the given group to the root, checking each node's set.
Explain that grant and revoke are O(1) because they only modify the node's set. check_access is O(depth) because it may traverse from the node to the root. Discuss memory usage and potential optimizations like caching effective permissions or using bitsets.
Mention handling of multiple parents (DAG) if needed, concurrency, and persistence. Outline test cases: inheritance, revocation, deep hierarchies, and edge cases like root access.
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