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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 _AddIsInitializedMethod(message_descriptor, cls):
 """Adds the IsInitialized and FindInitializationError methods to the protocol message class."""


  required_fields = [field for field in message_descriptor.fields
                           if field.label == _FieldDescriptor.LABEL_REQUIRED]

  def IsInitialized(self, errors=None):
    """Checks if all required fields of a message are set.

    Args:
      errors:  A list which, if provided, will be populated with the field
               paths of all missing required fields.

    Returns:
      True iff the specified message has all required fields set.
    """

    # Performance is critical so we avoid HasField() and ListFields().

    for field in required_fields:
      if (field not in self._fields or
          (field.cpp_type == _FieldDescriptor.CPPTYPE_MESSAGE and
           not self._fields[field]._is_present_in_parent)):
        if errors is not None:
          errors.extend(self.FindInitializationErrors())
        return False

    for field, value in list(self._fields.items()):  # dict can change size!
      if field.cpp_type == _FieldDescriptor.CPPTYPE_MESSAGE:
        if field.label == _FieldDescriptor.LABEL_REPEATED:
          if (field.message_type.has_options and
              field.message_type.GetOptions().map_entry):
            continue
          for element in value:
            if not element.IsInitialized():
              if errors is not None:
                errors.extend(self.FindInitializationErrors())
              return False
        elif value._is_present_in_parent and not value.IsInitialized():
          if errors is not None:
            errors.extend(self.FindInitializationErrors())
          return False

    return True

  cls.IsInitialized = IsInitialized

  def FindInitializationErrors(self):
    """Finds required fields which are not initialized.

    Returns:
      A list of strings.  Each string is a path to an uninitialized field from
      the top-level message, e.g. "foo.bar[5].baz".
    """

    errors = []  # simplify things

    for field in required_fields:
      if not self.HasField(field.name):
        errors.append(field.name)

    for field, value in self.ListFields():
      if field.cpp_type == _FieldDescriptor.CPPTYPE_MESSAGE:
        if field.is_extension:
          name = "(%s)" % field.full_name
        else:
          name = field.name

        if _IsMapField(field):
          if _IsMessageMapField(field):
            for key in value:
              element = value[key]
              prefix = "%s[%s]." % (name, key)
              sub_errors = element.FindInitializationErrors()
              errors += [prefix + error for error in sub_errors]
          else:
            # ScalarMaps can't have any initialization errors.
            pass
        elif field.label == _FieldDescriptor.LABEL_REPEATED:
          for i in range(len(value)):
            element = value[i]
            prefix = "%s[%d]." % (name, i)
            sub_errors = element.FindInitializationErrors()
            errors += [prefix + error for error in sub_errors]
        else:
          prefix = name + "."
          sub_errors = value.FindInitializationErrors()
          errors += [prefix + error for error in sub_errors]

    return errors

  cls.FindInitializationErrors = FindInitializationErrors