My first instinct was a simple recursive split and I got the basic case working fast.
Start by clarifying the problem constraints (e.g., Morse code mapping, separator, uniqueness of sentences) and then outline a solution that uses backtracking to generate all valid decodings for each word segment, followed by a Cartesian product to combine them. Discuss trade-offs between recursion/backtracking and dynamic programming, and mention how to handle duplicates and optimize for performance.
Pro tip: Emphasize the importance of pruning invalid paths early in the backtracking and using memoization to cache results for repeated subproblems, which shows you think about efficiency and scalability—key at Amazon.
Ask about the Morse code mapping (e.g., standard ITU), the word separator, whether the input is guaranteed to be valid, and if sentences should be unique. Confirm output format and edge cases.
Use backtracking to explore all possible partitions of the segment into valid Morse tokens. At each step, try taking 1 to 4 characters (since Morse codes are 1-4 symbols) and recurse if it's a valid code.
After decoding each word segment into a list of possible words, compute the Cartesian product of these lists to form all possible sentences. Ensure uniqueness by using a set or by deduplicating at the end.
Apply memoization to cache results for each segment to avoid redundant computations. Discuss how to handle duplicate sentences that may arise from different partitions leading to the same word.
Explain time and space complexity, and discuss trade-offs between backtracking and dynamic programming. Mention potential optimizations like pruning invalid prefixes early.
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