




"""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     a__ (				snake_case__				)						->					List[Any]:
			lowerCamelCase			      =					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.'				)
			lowerCamelCase			      =					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.'				)

			lowerCamelCase			      =					components[:-1] + [test_fn.replace(""".py"""       , """"""				)]
			lowerCamelCase			      =					""".""".join(snake_case__				)

			return test_module_path



def     a__ (				snake_case__				)						->					Tuple:
			lowerCamelCase			      =					get_module_path(snake_case__				)
			lowerCamelCase			      =					importlib.import_module(snake_case__				)

			return test_module



def     a__ (				snake_case__				)						->					int:
			lowerCamelCase			      =					[]
			lowerCamelCase			      =					get_test_module(snake_case__				)
			for attr in dir(snake_case__				):
						if attr.endswith("""ModelTester"""				):
									tester_classes.append(getattr(snake_case__       , snake_case__				)				)

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



def     a__ (				snake_case__				)						->					Any:
			lowerCamelCase			      =					[]
			lowerCamelCase			      =					get_test_module(snake_case__				)
			for attr in dir(snake_case__				):
						lowerCamelCase			      =					getattr(snake_case__       , snake_case__				)
						# (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).
						lowerCamelCase			      =					getattr(snake_case__       , """all_model_classes"""       , []				)
						if len(snake_case__				) > 0:
									test_classes.append(snake_case__				)

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



def     a__ (				snake_case__				)						->					Tuple:
			lowerCamelCase			      =					get_test_classes(snake_case__				)
			lowerCamelCase			      =					set()
			for test_class in test_classes:
						model_classes.update(test_class.all_model_classes				)

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



def     a__ (				snake_case__				)						->					List[str]:
			lowerCamelCase			      =					test_class()
			if hasattr(snake_case__       , """setUp"""				):
						test.setUp()

			lowerCamelCase			      =					None
			if hasattr(snake_case__       , """model_tester"""				):
						# `(TF/Flax)ModelTesterMixin` has this attribute default to `None`. Let's skip this case.
						if test.model_tester is not None:
									lowerCamelCase			      =					test.model_tester.__class__

			return model_tester



def     a__ (				snake_case__       , snake_case__				)						->					Tuple:
			lowerCamelCase			      =					get_test_classes(snake_case__				)

			lowerCamelCase			      =					[]
			for test_class in test_classes:
						if model_class in test_class.all_model_classes:
									target_test_classes.append(snake_case__				)

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



def     a__ (				snake_case__       , snake_case__				)						->					Optional[int]:
			lowerCamelCase			      =					get_test_classes_for_model(snake_case__       , snake_case__				)

			lowerCamelCase			      =					[]
			for test_class in test_classes:
						lowerCamelCase			      =					get_model_tester_from_test_class(snake_case__				)
						if tester_class is not None:
									tester_classes.append(snake_case__				)

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



def     a__ (				snake_case__				)						->					Any:
			lowerCamelCase			      =					get_test_classes(snake_case__				)
			lowerCamelCase			      =					{test_class: get_model_tester_from_test_class(snake_case__				) for test_class in test_classes}
			return test_tester_mapping



def     a__ (				snake_case__				)						->					Optional[int]:
			lowerCamelCase			      =					get_model_classes(snake_case__				)
			lowerCamelCase			      =					{
			    model_class: get_test_classes_for_model(snake_case__       , snake_case__				) for model_class in model_classes
			}
			return model_test_mapping



def     a__ (				snake_case__				)						->					int:
			lowerCamelCase			      =					get_model_classes(snake_case__				)
			lowerCamelCase			      =					{
			    model_class: get_tester_classes_for_model(snake_case__       , snake_case__				) for model_class in model_classes
			}
			return model_to_tester_mapping



def     a__ (				snake_case__				)						->					Any:
			if isinstance(snake_case__       , snake_case__				):
						return o
			elif isinstance(snake_case__       , snake_case__				):
						return o.__name__
			elif isinstance(snake_case__       , (list, tuple)				):
						return [to_json(snake_case__				) for x in o]
			elif isinstance(snake_case__       , snake_case__				):
						return {to_json(snake_case__				): to_json(snake_case__				) for k, v in o.items()}
			else:
						return o









"""simple docstring"""




def     a__ (				snake_case__				)						->					bool:
			lowerCamelCase			      =					(1 + 24 * n) ** 0.5
			return ((1 + root) / 6) % 1 == 0



def     a__ (				snake_case__ = 50_00				)						->					int:
			lowerCamelCase			      =					[(i * (3 * i - 1)) // 2 for i in range(1       , snake_case__				)]
			for i, pentagonal_i in enumerate(snake_case__				):
						for j in range(snake_case__       , len(snake_case__				)				):
									lowerCamelCase			      =					pentagonal_nums[j]
									lowerCamelCase			      =					pentagonal_i + pentagonal_j
									lowerCamelCase			      =					pentagonal_j - pentagonal_i
									if is_pentagonal(snake_case__				) and is_pentagonal(snake_case__				):
												return b

			return -1


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



