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The student's solution demonstrates a good understanding of pandas operations to solve the problem of finding the nth highest salary. Here are the detailed observations:

  1. Correctness:

    • Both solutions correctly handle the edge cases where N is invalid (either <=0 or > number of unique salaries) or when there aren't enough unique salaries.
    • The approach of dropping duplicates, sorting, and then using head/tail to get the nth element is correct.
    • However, there's a potential issue in the nth_highest_salary function where res is set to None for invalid N, but the code still tries to access values[0] when N is valid. This could cause an error if the filtered DataFrame is empty.
  2. Time Complexity:

    • The time complexity is O(n log n) due to the sorting operation, which is optimal for this type of problem.
    • The drop_duplicates operation is O(n), but it's dominated by the sorting.
  3. Space Complexity:

    • The space complexity is O(n) due to creating a new DataFrame with unique salaries.
    • This is reasonable for the problem size.
  4. Code Quality:

    • The code is generally clean and readable.
    • Variable names are appropriate (df, res).
    • The functions follow a consistent structure.
    • The docstrings are missing, which would help document the purpose and parameters of each function.
  5. Efficiency:

    • The solution could be slightly optimized by using nlargest() instead of sort_values + head.
    • The second_highest_salary function could be written as a special case of nth_highest_salary for better code reuse.

Areas for improvement:

  • Add docstrings to explain the functions.
  • Consider using nlargest() for better readability and potential performance.
  • Handle the case where the filtered DataFrame might be empty even when N is valid.
  • The second_highest_salary could be implemented by calling nth_highest_salary(employee, 2) to avoid code duplication.

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2 participants