← Databricks Interview Insights
This one took me a while to even parse correctly.
Clarify the problem by restating the sequential rule processing and the coverage condition. Then, describe an algorithm that represents the target CIDR as a set of IP ranges, processes each rule in order, and maintains the remaining uncovered ranges. For each allow rule, subtract its overlap from the remaining ranges; for each deny rule, if it overlaps any remaining range, return false immediately. Finally, return true if no remaining ranges are left after processing all rules.
Pro tip: Mention that CIDR blocks can be converted to integer ranges for efficient overlap and subtraction operations, and that using a sorted list of disjoint ranges keeps the algorithm clean and O(n log n) or better. Also, discuss edge cases like rules that are subsets or supersets of the target, and the importance of handling IPv4 integer conversion correctly.
Restate the problem to ensure understanding: rules are processed in order, allow rules subtract from remaining uncovered IPs, and any deny rule overlapping remaining IPs causes immediate false. Ask about input format, rule ordering, and whether the target CIDR is guaranteed to be valid.
Convert CIDR blocks to integer ranges [start, end] for easy overlap and subtraction. Represent the remaining uncovered IPs as a list of disjoint ranges, initially containing the target range.
Iterate through rules sequentially. For an allow rule, subtract its range from each remaining range, updating the list. For a deny rule, check if it overlaps any remaining range; if so, return false immediately.
Write helper functions to subtract a range from a list of disjoint ranges and to check if a range overlaps any in the list. Ensure subtraction handles partial overlaps and splits ranges correctly.
Discuss time complexity: O(n * m) where n is number of rules and m is number of remaining ranges, but can be optimized. Cover edge cases: empty rules, rules outside target, allow rules that fully cover, deny rules that don't overlap, and IPv4 integer conversion boundaries.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.