



'''simple docstring'''






from itertools import product





def 				_SCREAMING_SNAKE_CASE(					snake_case_    :     int = 15  )		->int:






							'''simple docstring'''
							_lowercase							:		float				=   0.0
							_lowercase							:		float
							_lowercase							:		int
							_lowercase							:		int
							_lowercase							:		int
							_lowercase							:		int
							_lowercase							:		tuple[int, ...]

							for series in product(range(2  ) ,       repeat=snake_case_  ):
														_lowercase							:		List[Any]				=   series.count(1  )
														_lowercase							:		int				=   num_turns - num_blue
														if num_red >= num_blue:
																					continue
														_lowercase							:		List[str]				=   1.0
														for ind, col in enumerate(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 warnings

from .generation import FlaxGenerationMixin

class 	_lowerCAmelCase     (    __A       ):






		'''simple docstring'''
		# warning at import time
		warnings.warn(
		    'Importing `FlaxGenerationMixin` from `src/transformers/generation_flax_utils.py` is deprecated and will '
		    'be removed in Transformers v5. Import as `from transformers import FlaxGenerationMixin` instead.'     ,		__A     ,		)



