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  1. Correctness:

    • For Problem 1 (Article Views I), the solution correctly identifies authors who viewed their own articles, removes duplicates, sorts the results, and returns the expected output format. This appears to be correct.
    • For Problem 2 (Invalid Tweets), the solution correctly identifies tweets with content length greater than 15 characters and returns their tweet IDs. This also appears to be correct.
  2. Time Complexity:

    • Problem 1: The operations include filtering (O(n)), dropping duplicates (O(n log n) worst case), sorting (O(n log n)), and column selection (O(n)). The overall complexity is O(n log n).
    • Problem 2: The string length operation is O(n) for each tweet, and the filtering is O(n). The overall complexity is O(n).
  3. Space Complexity:

    • Problem 1: The space complexity is O(n) in the worst case when all authors view their own articles.
    • Problem 2: The space complexity is O(n) in the worst case when all tweets are invalid.
  4. Code Quality:

    • The code is generally well-structured and readable.
    • Variable names are descriptive (e.g., inValid could be improved to is_invalid for better clarity).
    • The use of pandas operations is appropriate.
    • For Problem 1, the inplace parameter is used correctly, but the intermediate DataFrames could be chained for better readability.
  5. Efficiency:

    • Both solutions are efficient for their respective problems.
    • For Problem 1, the sorting step could be avoided if the problem doesn't explicitly require sorted output, but since the problem likely expects sorted results, this is acceptable.
    • For Problem 2, the solution is already optimal.

Areas for Improvement:

  • Consider chaining operations in Problem 1 for better readability, e.g., using method chaining.
  • Improve variable naming in Problem 2 (inValid to is_invalid).
  • Add docstrings to explain the function's purpose and return value.

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