I'd covered basically everything: dp, graphs, the works.
Start by clarifying the problem requirements and constraints, then propose a trie-based solution, explaining its advantages over alternatives like hash maps. Walk through the implementation details, including node structure and operations, and analyze time and space complexity.
Pro tip: Demonstrate awareness of trade-offs: mention that tries excel for prefix-based operations but can have high memory overhead, and suggest optimizations like compressed tries or ternary search trees when appropriate.
Ask questions to understand the exact requirements, such as the operations needed (insert, search, prefix search), input size, and constraints. Confirm whether the problem involves strings or other sequences.
Explain why a trie is suitable, highlighting efficient prefix matching and predictable O(L) operations. Compare with alternatives like hash maps or binary search trees to justify the choice.
Describe the node structure (e.g., children array/map, isEndOfWord flag) and outline key operations: insert, search, and startsWith. Discuss handling of edge cases like empty strings or duplicate insertions.
Provide time and space complexity for each operation, where L is the length of the word. Mention that space can be high due to pointers, and discuss potential optimizations.
Walk through a small example to verify correctness. Discuss possible optimizations like using a hash map for children to save space or a compressed trie for long strings.
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