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Solve the following problem using Python, implementing the functions described below, one line at a time
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Description:
 def _CheckMacOSPaths(self, filename, artifact_definition, source, paths):
 """Checks if the paths are valid MacOS paths. Args: filename (str):
 name of the artifacts definition file. artifact_definition (ArtifactDefinition):
 artifact definition. source (SourceType):
 source definition. paths (list[str]):
 paths to validate. Returns: bool: True if the MacOS paths is valid. """

    result = True

    paths_with_private = []
    paths_with_symbolic_link_to_private = []

    for path in paths:
      path_lower = path.lower()
      path_segments = path_lower.split(source.separator)
      if not path_segments:
        logging.warning((
            'Empty path defined by artifact definition: {0:s} in file: '
            '{1:s}').format(artifact_definition.name, filename))
        result = False

      elif len(path_segments) == 1:
        continue

      elif path_segments[1] in self._MACOS_PRIVATE_SUB_PATHS:
        paths_with_symbolic_link_to_private.append(path)

      elif path_segments[1] == 'private' and len(path_segments) >= 2:
        if path_segments[2] in self._MACOS_PRIVATE_SUB_PATHS:
          paths_with_private.append(path)

        else:
          logging.warning((
              'Unsupported private path: {0:s} defined by artifact definition: '
              '{1:s} in file: {2:s}').format(
                  path, artifact_definition.name, filename))
          result = False

    for private_path in paths_with_private:
      if private_path[8:] not in paths_with_symbolic_link_to_private:
        logging.warning((
            'Missing symbolic link: {0:s} for path: {1:s} defined by artifact '
            'definition: {2:s} in file: {3:s}').format(
                private_path[8:], private_path, artifact_definition.name,
                filename))
        result = False

    for path in paths_with_symbolic_link_to_private:
      private_path = '/private{0:s}'.format(path)
      if private_path not in paths_with_private:
        logging.warning((
            'Missing path: {0:s} for symbolic link: {1:s} defined by artifact '
            'definition: {2:s} in file: {3:s}').format(
                private_path, path, artifact_definition.name, filename))
        result = False

    return result