← Databricks Interview Insights
Clarify the problem constraints and edge cases first, then propose an efficient algorithm using a trie or interval tree to handle first-match semantics and partial overlaps. For CIDR queries, recursively split the query block into smaller sub-blocks until each is entirely covered by a single rule, aggregating results to detect 'mixed'.
Pro tip: Mention that real-world systems often use a trie (e.g., Patricia trie) for longest-prefix matching, but here first-match requires careful ordering; also discuss how to handle rule updates and scalability.
Ask about input size, rule ordering, and whether rules can overlap. Confirm that for CIDR queries, 'mixed' means some IPs allowed and some denied, and that first-match applies to each IP individually.
Propose a trie (prefix tree) where each node represents a bit prefix and stores the first matching rule index. Alternatively, use an interval tree if rules are static. Discuss trade-offs between preprocessing time and query time.
Traverse the trie from root to leaf, following the bits of the IP. The first rule encountered along the path determines the action. If no rule matches, default to deny (or as specified).
Recursively split the query CIDR into smaller sub-CIDRs until each sub-CIDR is entirely contained within a single rule's range. Aggregate the actions: if all sub-blocks have the same action, return that; otherwise return 'mixed'.
Explain time complexity: O(prefix length) for IP queries, O(number of resulting sub-blocks) for CIDR queries. Mention optimizations like memoization, pruning, or using a segment tree for dynamic updates.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.