code: def test_factorial_thompson_strategy(self, _: MagicMock) -> None:
      exp = get_branin_experiment()
      factorial_thompson_generation_strategy = GenerationStrategy(
          steps=[
              GenerationStep(
                  model=Models.FACTORIAL,
                  num_trials=1,
                  model_kwargs=self.step_model_kwargs,
              ),
              GenerationStep(
                  model=Models.THOMPSON,
                  num_trials=-1,
                  model_kwargs=self.step_model_kwargs,
              ),
          ]
      )
      self.assertEqual(
          factorial_thompson_generation_strategy.name,
          "Factorial+Thompson",
      )
      self.assertEqual(
          factorial_thompson_generation_strategy.model_transitions, [1]
      )
      mock_model_bridge = self.mock_discrete_model_bridge.return_value
  
      # Initial factorial batch.
      exp.new_batch_trial(
          factorial_thompson_generation_strategy.gen(experiment=exp)
      )
      args, kwargs = mock_model_bridge._set_kwargs_to_save.call_args
      self.assertEqual(kwargs.get("model_key"), "Factorial")
  
      # Subsequent Thompson sampling batch.
      exp.new_batch_trial(
          factorial_thompson_generation_strategy.gen(experiment=exp)
      )
      args, kwargs = mock_model_bridge._set_kwargs_to_save.call_args
      self.assertEqual(kwargs.get("model_key"), "Thompson")
  
imports: import logging
  from typing import cast, List
  from unittest import mock
  from unittest.mock import MagicMock, patch
  from ax.core.arm import Arm
  from ax.core.base_trial import TrialStatus
  from ax.core.experiment import Experiment
  from ax.core.generator_run import GeneratorRun
  from ax.core.observation import ObservationFeatures
  from ax.core.parameter import ChoiceParameter, FixedParameter, Parameter, ParameterType
  from ax.core.search_space import SearchSpace
  from ax.core.utils import get_pending_observation_features_based_on_trial_status
  from ax.exceptions.core import DataRequiredError, UnsupportedError, UserInputError
  from ax.exceptions.generation_strategy import GenerationStrategyCompleted, GenerationStrategyMisconfiguredException, GenerationStrategyRepeatedPoints, MaxParallelismReachedException
  from ax.modelbridge.discrete import DiscreteModelBridge
  from ax.modelbridge.factory import get_sobol
  from ax.modelbridge.generation_node import GenerationNode
  from ax.modelbridge.generation_strategy import GenerationStep, GenerationStrategy
  from ax.modelbridge.model_spec import ModelSpec
  from ax.modelbridge.random import RandomModelBridge
  from ax.modelbridge.registry import Cont_X_trans, MODEL_KEY_TO_MODEL_SETUP, Models
  from ax.modelbridge.torch import TorchModelBridge
  from ax.modelbridge.transition_criterion import MaxGenerationParallelism, MaxTrials, MinTrials
  from ax.models.random.sobol import SobolGenerator
  from ax.utils.common.equality import same_elements
  from ax.utils.common.mock import mock_patch_method_original
  from ax.utils.common.testutils import TestCase
  from ax.utils.common.typeutils import not_none
  from ax.utils.testing.core_stubs import get_branin_data, get_branin_experiment, get_choice_parameter, get_data, get_experiment_with_multi_objective, get_hierarchical_search_space_experiment
label_desc: Use image node_id 14 for calling the TestGenerationStrategy obj's underlying member method code with example usage: obj.test_factorial_thompson_strategy(_) without return types