code: def test_row_vectorization_correct_row_order():
      """Test that forecaster vectorization preserves row index ordering.
  
      Failure case is as in issue #5108 where the row index is correct,
      but the values are in fact coming from forecasters in jumbled order.
      """
      n_instances = 3
      n_points = 5
  
      t_ix = pd.date_range(
          start="2022-07-01", periods=n_points * n_instances, freq="D"
      )
      y = pd.DataFrame(
          {
              "y": [i for i in range(n_points * n_instances)],
              "id": ["T1"] * n_points
              + ["T2"] * n_points
              + ["T11"] * n_points,
              "timestamp": t_ix,
          }
      ).set_index(["id", "timestamp"])
  
      fh = [1]
  
      forecaster = NaiveForecaster(strategy="last")
  
      forecaster.fit(y)
      y_pred = forecaster.predict(fh)
  
      last_ix = range(n_points - 1, n_points * n_instances, n_points)
      y_last = y.iloc[last_ix]
  
      assert all(
          y_last.index.get_level_values(0)
          == y_pred.index.get_level_values(0)
      )
      assert all(y_last.values == y_pred.values)
  
imports: from functools import reduce
  from operator import mul
  import numpy
  import pandas
  import pytest
  from pandas.testing import assert_series_equal
  from sktime.datatypes import check_is_mtype, convert
  from sktime.datatypes._utilities import get_cutoff, get_window
  from sktime.forecasting.arima import ARIMA
  from sktime.forecasting.naive import NaiveForecaster
  from sktime.forecasting.theta import ThetaForecaster
  from sktime.forecasting.var import VAR
  from sktime.utils._testing.hierarchical import _make_hierarchical
  from sktime.utils._testing.panel import _make_panel
  from sktime.utils._testing.series import _make_series
  from sktime.utils.parallel import _get_parallel_test_fixtures
  from sktime.utils.validation._dependencies import _check_estimator_deps
label_desc: Use image node_id 8 for calling a global function with example usage: test_row_vectorization_correct_row_order() without return types