





'''simple docstring'''







from itertools import product





def 							lowerCamelCase_   (	SCREAMING_SNAKE_CASE__   :      int = 15 )			->						int:
						UpperCAmelCase_      :   float      =	0.0
						UpperCAmelCase_      :   float
						UpperCAmelCase_      :   int
						UpperCAmelCase_      :   int
						UpperCAmelCase_      :   int
						UpperCAmelCase_      :   int
						UpperCAmelCase_      :   tuple[int, ...]

						for series in product(range(2 ),      repeat=SCREAMING_SNAKE_CASE__ ):
												UpperCAmelCase_      :   str      =	series.count(1 )
												UpperCAmelCase_      :   Dict      =	num_turns - num_blue
												if num_red >= num_blue:
																		continue
												UpperCAmelCase_      :   int      =	1.0
												for ind, col in enumerate(SCREAMING_SNAKE_CASE__,      2 ):
																		if col == 0:
																								prob *= (ind - 1) / ind
																		else:
																								prob *= 1 / ind

												total_prob += prob

						return int(1 / total_prob )


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












'''simple docstring'''







import glob
import os

from get_test_info import get_tester_classes


if __name__ == "__main__":
					snake_case_  :							Union[str, Any]            =	[]

					snake_case_  :							List[Any]            =	os.path.join("tests", "models", "**", "test_modeling_*.py")
					snake_case_  :							int            =	glob.glob(pattern)
					# TODO: deal with TF/Flax too
					snake_case_  :							Optional[int]            =	[
					    x for x in test_files if not (x.startswith("test_modeling_tf_") or x.startswith("test_modeling_flax_"))
					]

					for test_file in test_files:
										snake_case_  :							Any            =	get_tester_classes(test_file)
										for tester_class in tester_classes:
															# A few tester classes don't have `parent` parameter in `__init__`.
															# TODO: deal this better
															try:
																				snake_case_  :							Tuple            =	tester_class(parent=None)
															except Exception:
																				continue
															if hasattr(tester, "get_config"):
																				snake_case_  :							Any            =	tester.get_config()
																				for k, v in config.to_dict().items():
																									if isinstance(v, int):
																														snake_case_  :							int            =	None
																														if k in ["vocab_size"]:
																																			snake_case_  :							Optional[Any]            =	1_00
																														elif k in ["max_position_embeddings"]:
																																			snake_case_  :							Any            =	1_28
																														elif k in ["hidden_size", "d_model"]:
																																			snake_case_  :							str            =	40
																														elif k == ["num_layers", "num_hidden_layers", "num_encoder_layers", "num_decoder_layers"]:
																																			snake_case_  :							str            =	5
																														if target is not None and v > target:
																																			failures.append(
																																			    f'''{tester_class.__name__} will produce a `config` of type `{config.__class__.__name__}`'''
																																			    f''' with config["{k}"] = {v} which is too large for testing! Set its value to be smaller'''
																																			    f''' than {target}.'''
																																			)

					if len(failures) > 0:
										raise Exception(f'''There were {len(failures)} failures:\n''' + "\n".join(failures))





