code: def test_multi_objective_sample_independent_seed_fix() -> None:
      study = optuna.create_study(directions=["minimize", "maximize"])
      dist = optuna.distributions.FloatDistribution(1.0, 100.0)
  
      random.seed(128)
      past_trials = [
          frozen_trial_factory(i, [random.random(), random.random()])
          for i in range(16)
      ]
      # Prepare a trial and a sample for later checks.
      trial = frozen_trial_factory(16, [0, 0])
      sampler = TPESampler(seed=0)
      suggestion = suggest(sampler, study, trial, dist, past_trials)
  
      sampler = TPESampler(seed=0)
      assert (
          suggest(sampler, study, trial, dist, past_trials)
          == suggestion
      )
  
      sampler = TPESampler(seed=1)
      assert (
          suggest(sampler, study, trial, dist, past_trials)
          != suggestion
      )
  
imports: import random
  from typing import Callable
  from typing import Dict
  from typing import List
  from typing import Optional
  from typing import Union
  from unittest.mock import patch
  from unittest.mock import PropertyMock
  import numpy
  import pytest
  import optuna
  from optuna.samplers import _tpe
  from optuna.samplers import TPESampler
label_desc: Use image node_id 2 for calling a global function with example usage: test_multi_objective_sample_independent_seed_fix() without return types