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I knew what run-length encoding was but hadn't connected it to this problem before.
Start by clarifying the definition of the count-and-say sequence and the base case (n=1 returns '1'). Then, iteratively build each term from the previous one by scanning and counting consecutive identical digits, converting the count and digit into a string. Focus on writing clean, efficient code and analyzing time and space complexity.
Pro tip: Demonstrate strong communication by walking through a small example (e.g., n=4) before coding, and mention potential optimizations like using a StringBuilder for string concatenation to avoid quadratic time. Also, discuss edge cases like n=1 and large n, and consider if the sequence can be generated recursively versus iteratively.
Confirm the sequence definition, base case (n=1 -> '1'), and constraints (e.g., n up to 30). Ask if n is guaranteed positive and if the output should be a string.
Decide to build the sequence iteratively from 1 to n, as recursion may cause stack overflow for large n. Initialize the first term as '1'.
For each term from 2 to n, scan the previous term, count consecutive identical digits, and append the count followed by the digit to a new string (using StringBuilder for efficiency).
Discuss time complexity O(2^n) in the worst case (since the length grows exponentially) and space O(2^n) for the output. Test with small n (1,2,3,4) and edge cases.
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