code: def test_count_with_datetimelike(self, datetimelike):
      # test for #13393, where DataframeGroupBy.count() fails
      # when counting a datetimelike column.
  
      df = DataFrame({"x": ["a", "a", "b"], "y": datetimelike})
      res = df.groupby("x").count()
      expected = DataFrame({"y": [2, 1]}, index=["a", "b"])
      expected.index.name = "x"
      tm.assert_frame_equal(expected, res)
  
imports: from itertools import product
  from string import ascii_lowercase
  import numpy
  import pytest
  from pandas import DataFrame, Index, MultiIndex, Period, Series, Timedelta, Timestamp, date_range
  import pandas._testing
label_desc: Use image node_id 18 for calling the TestCounting obj's underlying member method code with example usage: obj.test_count_with_datetimelike(datetimelike) without return types