


"""simple docstring"""







import importlib
import os
import sys


# This is required to make the module import works (when the python process is running from the root of the repo)
sys.path.append(""".""")


def 					lowercase      (    A_	)->				Any:
  '''simple docstring'''







  a						:		Optional[Any]											=      test_file.split(os.path.sep	)
  if components[0:2] != ["tests", "models"]:
    raise ValueError(
        "`test_file` should start with `tests/models/` (with `/` being the OS specific path separator). Got "
        F'''{test_file} instead.'''	)
  a						:		Optional[int]											=      components[-1]
  if not test_fn.endswith("py"	):
    raise ValueError(F'''`test_file` should be a python file. Got {test_fn} instead.'''	)
  if not test_fn.startswith("test_modeling_"	):
    raise ValueError(
        F'''`test_file` should point to a file name of the form `test_modeling_*.py`. Got {test_fn} instead.'''	)

  a						:		List[str]											=      components[:-1] + [test_fn.replace(".py"  ,       ""	)]
  a						:		Union[str, Any]											=      ".".join(A_	)

  return test_module_path


def 					lowercase      (    A_	)->				Optional[int]:
  '''simple docstring'''







  a						:		int											=      get_module_path(A_	)
  a						:		Union[str, Any]											=      importlib.import_module(A_	)

  return test_module


def 					lowercase      (    A_	)->				List[str]:
  '''simple docstring'''







  a						:		Union[str, Any]											=      []
  a						:		str											=      get_test_module(A_	)
  for attr in dir(A_	):
    if attr.endswith("ModelTester"	):
      tester_classes.append(getattr(A_  ,       A_	)	)

    # sort with class names
  return sorted(A_  ,       key=lambda A_	: x.__name__	)


def 					lowercase      (    A_	)->				Tuple:
  '''simple docstring'''







  a						:		int											=      []
  a						:		Union[str, Any]											=      get_test_module(A_	)
  for attr in dir(A_	):
    a						:		Tuple											=      getattr(A_  ,       A_	)
    # (TF/Flax)ModelTesterMixin is also an attribute in specific model test module. Let's exclude them by checking
    # `all_model_classes` is not empty (which also excludes other special classes).
    a						:		Optional[int]											=      getattr(A_  ,       "all_model_classes"  ,       []	)
    if len(A_	) > 0:
      test_classes.append(A_	)

    # sort with class names
  return sorted(A_  ,       key=lambda A_	: x.__name__	)


def 					lowercase      (    A_	)->				int:
  '''simple docstring'''







  a						:		Optional[Any]											=      get_test_classes(A_	)
  a						:		Optional[Any]											=      set()
  for test_class in test_classes:
    model_classes.update(test_class.all_model_classes	)

  # sort with class names
  return sorted(A_  ,       key=lambda A_	: x.__name__	)


def 					lowercase      (    A_	)->				str:
  '''simple docstring'''







  a						:		List[str]											=      test_class()
  if hasattr(A_  ,       "setUp"	):
    test.setUp()

  a						:		Optional[Any]											=      None
  if hasattr(A_  ,       "model_tester"	):
    # `(TF/Flax)ModelTesterMixin` has this attribute default to `None`. Let's skip this case.
    if test.model_tester is not None:
      a						:		Union[str, Any]											=      test.model_tester.__class__

  return model_tester


def 					lowercase      (    A_  ,       A_	)->				str:
  '''simple docstring'''







  a						:		Union[str, Any]											=      get_test_classes(A_	)

  a						:		str											=      []
  for test_class in test_classes:
    if model_class in test_class.all_model_classes:
      target_test_classes.append(A_	)

    # sort with class names
  return sorted(A_  ,       key=lambda A_	: x.__name__	)


def 					lowercase      (    A_  ,       A_	)->				Optional[Any]:
  '''simple docstring'''







  a						:		Union[str, Any]											=      get_test_classes_for_model(A_  ,       A_	)

  a						:		Dict											=      []
  for test_class in test_classes:
    a						:		str											=      get_model_tester_from_test_class(A_	)
    if tester_class is not None:
      tester_classes.append(A_	)

    # sort with class names
  return sorted(A_  ,       key=lambda A_	: x.__name__	)


def 					lowercase      (    A_	)->				Dict:
  '''simple docstring'''







  a						:		List[Any]											=      get_test_classes(A_	)
  a						:		List[str]											=      {test_class: get_model_tester_from_test_class(A_	) for test_class in test_classes}
  return test_tester_mapping


def 					lowercase      (    A_	)->				str:
  '''simple docstring'''







  a						:		List[str]											=      get_model_classes(A_	)
  a						:		Tuple											=      {
      model_class: get_test_classes_for_model(A_  ,       A_	) for model_class in model_classes
  }
  return model_test_mapping


def 					lowercase      (    A_	)->				int:
  '''simple docstring'''







  a						:		Optional[Any]											=      get_model_classes(A_	)
  a						:		Tuple											=      {
      model_class: get_tester_classes_for_model(A_  ,       A_	) for model_class in model_classes
  }
  return model_to_tester_mapping







def 					lowercase      (    A_	)->				Any:
  '''simple docstring'''







  if isinstance(A_  ,       A_	):
    return o
  elif isinstance(A_  ,       A_	):
    return o.__name__
  elif isinstance(A_  ,       (list, tuple)	):
    return [to_json(A_	) for x in o]
  elif isinstance(A_  ,       A_	):
    return {to_json(A_	): to_json(A_	) for k, v in o.items()}
  else:
    return o










"""simple docstring"""







from math import ceil, sqrt


def 					lowercase      (    A_ = 1_000_000	)->				int:
  '''simple docstring'''







  a						:		Tuple											=      0

  for outer_width in range(3  ,       (limit // 4) + 2	):
    if outer_width**2 > limit:
      a						:		str											=      max(ceil(sqrt(outer_width**2 - limit	)	)  ,       1	)
    else:
      a						:		Tuple											=      1
    if (outer_width - hole_width_lower_bound) % 2:
      hole_width_lower_bound += 1

    answer += (outer_width - hole_width_lower_bound - 2) // 2 + 1

  return answer


if __name__ == "__main__":
 print(f'''{solution() = }''')






