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Possible next improvements

  1. Input Validation: Add input validation to ensure that the user provides valid latitude, longitude, and distance values.

  2. Error Handling: Implement error handling to handle cases where the optimization algorithm fails to converge or the input data is insufficient.

  3. Optimization Algorithm: Consider using a different optimization algorithm or fine-tuning the parameters of the existing one to potentially improve convergence and accuracy.

  4. Modularization: Break down the code into smaller, reusable functions for better maintainability and readability.

  5. Documentation: Include inline comments and docstrings to explain the purpose and functionality of each part of the code.

  6. Unit Tests: Write unit tests to verify the correctness of the code and ensure that future changes don't introduce regressions.