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  1. Correctness:

    • Problem1: The solution is incomplete due to a syntax error (missing closing bracket in the list). If fixed, it would correctly create a DataFrame from the given list.
    • Problem2: The solution correctly filters countries based on the given conditions (area >= 3M or population >= 25M) and returns the required columns.
    • Problem3: The solution correctly filters products that are both low fat and recyclable, returning only the product IDs.
    • Problem4: The solution correctly identifies customers who haven't placed any orders using the ~isin() operation and returns the expected output format.
  2. Time Complexity:

    • Problem1: O(n) where n is the number of elements in the list (after fixing the syntax error).
    • Problem2: O(n) where n is the number of rows in the DataFrame, due to the filtering operation.
    • Problem3: O(n) where n is the number of rows in the DataFrame, due to the filtering operation.
    • Problem4: O(n + m) where n is the number of customers and m is the number of orders, due to the isin() operation.
  3. Space Complexity:

    • Problem1: O(n) where n is the number of elements in the list (after fixing the syntax error).
    • Problem2: O(k) where k is the number of rows that meet the condition.
    • Problem3: O(k) where k is the number of products that meet the condition.
    • Problem4: O(n) where n is the number of customers who haven't placed orders.
  4. Code Quality:

    • Problem1: The code is simple but has a syntax error. Variable names are clear.
    • Problem2: Well-structured with clear variable names. Could benefit from a docstring explaining the function.
    • Problem3: Good use of boolean conditions. Includes a helpful docstring.
    • Problem4: Clean and efficient solution with proper column renaming.
  5. Efficiency:

    • All solutions are efficient for their respective problems. No major optimizations needed.
    • For Problem4, using ~isin() is an efficient way to find customers without orders.

General Suggestions:

  • Always ensure proper syntax and complete code before submission.
  • Consider adding docstrings to all functions for better documentation.
  • Consistent formatting (e.g., spaces around operators) would improve readability.

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