← Databricks Interview Insights
The problem looks like a networking thing at first and I spent a minute mentally panicking about whether I needed to remember subnet math.
Start by clarifying requirements and constraints, then propose a trie-based solution where each node represents a bit of the IP address. Implement insertion of CIDR blocks and lookup by traversing the trie bit by bit, keeping track of the longest matching prefix. Discuss trade-offs between trie and sorted array with binary search, and analyze time/space complexity.
Pro tip: Mention that you would store the original CIDR string at terminal nodes and handle edge cases like overlapping prefixes and invalid inputs. Also, note that using a compressed trie (radix tree) can save memory for sparse prefixes.
Ask about expected input size, update frequency, memory limits, and whether the list is static. Confirm that the most specific match means longest prefix length, and that an empty string is returned if no match.
Propose a binary trie (prefix tree) where each level corresponds to a bit of the IP address. Alternatively, consider a sorted array of CIDR blocks with binary search, but explain why trie is more efficient for longest prefix match.
For insertion, parse each CIDR block into a 32-bit integer and prefix length, then insert bits into the trie, marking terminal nodes with the original CIDR string. For lookup, traverse the trie following the bits of the query IP, remembering the last terminal node encountered.
Insertion: O(32) per CIDR block, so O(N*32) for N blocks. Lookup: O(32) worst-case. Space: O(N*32) nodes. Compare with sorted array + binary search: O(log N) lookup but O(N) insertion, and more complex to find longest prefix.
Discuss handling invalid CIDR blocks, IPv4 address validation, and overlapping prefixes. Mention possible optimizations like path compression (radix tree) to reduce memory, or using a hash map for exact matches if applicable.
AI-generated suggestions, not part of the candidate's original notes. May be inaccurate — verify before relying on them.