Started with the hash-set plus DP approach because it felt more approachable.
Start by clarifying the problem and edge cases, then present two approaches: a brute-force pairwise concatenation with a hash set for O(n^2 * L) time, and an optimized DP-based solution using a trie or hash set for O(n * L^2) time. Analyze time and space complexity for each, and discuss trade-offs such as memory usage and practical performance on large inputs.
Pro tip: Mention that sorting strings by length and processing from shortest to longest can avoid redundant checks, and that using a trie can prune searches early, which is crucial for Amazon-scale data.
Ask about input constraints, definition of 'other strings' (can a string be concatenated with itself?), and whether the result should be unique. Discuss edge cases like empty strings, single-character strings, and strings that are themselves components of others.
Describe generating all possible concatenations of two strings from the array, checking if each result exists in the set, and collecting valid ones. Analyze complexity: O(n^2 * L) time and O(n * L) space, noting it's impractical for n=100,000.
Explain using a hash set or trie for O(1) or O(L) lookups, then for each string, use dynamic programming to check if it can be segmented into at least two words from the set. Complexity: O(n * L^2) time with hash set or O(n * L) with trie, and O(n * L) space.
Discuss when to use each approach, memory vs. speed trade-offs, and how to handle repeated components (e.g., 'a' + 'a' = 'aa') and short words. Mention that sorting by length can optimize by skipping longer strings early.
Reiterate the chosen approach, its complexity, and why it's suitable for large inputs. Emphasize correctness and efficiency.
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