
"""simple docstring"""




from itertools import product

def   UpperCamelCase_  (		SCREAMING_SNAKE_CASE_ = 1_5			):
					SCREAMING_SNAKE_CASE				=	0.0
					SCREAMING_SNAKE_CASE				=	42
					SCREAMING_SNAKE_CASE				=	42
					SCREAMING_SNAKE_CASE				=	42
					SCREAMING_SNAKE_CASE				=	42
					SCREAMING_SNAKE_CASE				=	42
					SCREAMING_SNAKE_CASE				=	42

					for series in product(range(2			),     repeat=SCREAMING_SNAKE_CASE_			):
										SCREAMING_SNAKE_CASE				=	series.count(1			)
										SCREAMING_SNAKE_CASE				=	num_turns - num_blue
										if num_red >= num_blue:
															continue
										SCREAMING_SNAKE_CASE				=	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"""




def   UpperCamelCase_  (		SCREAMING_SNAKE_CASE_			):
					if not isinstance(SCREAMING_SNAKE_CASE_,     SCREAMING_SNAKE_CASE_			):
										SCREAMING_SNAKE_CASE				=	(
										    'operation can not be conducted on a object of type '
										    f'''{type(SCREAMING_SNAKE_CASE_			).__name__}'''
										)
										raise TypeError(SCREAMING_SNAKE_CASE_			)
					SCREAMING_SNAKE_CASE				=	''
					for _ in range(0,     3_2			):
										bit_string += str(number % 2			)
										SCREAMING_SNAKE_CASE				=	number >> 1
					return bit_string

def   UpperCamelCase_  (		SCREAMING_SNAKE_CASE_			):
					if number < 0:
										raise ValueError('the value of input must be positive'			)
					elif isinstance(SCREAMING_SNAKE_CASE_,     SCREAMING_SNAKE_CASE_			):
										raise TypeError('Input value must be a \'int\' type'			)
					elif isinstance(SCREAMING_SNAKE_CASE_,     SCREAMING_SNAKE_CASE_			):
										raise TypeError('\'<\' not supported between instances of \'str\' and \'int\''			)
					SCREAMING_SNAKE_CASE				=	0
					# iterator over [1 to 32],since we are dealing with 32 bit integer
					for _ in range(1,     3_3			):
										# left shift the bits by unity
										SCREAMING_SNAKE_CASE				=	result << 1
										# get the end bit
										SCREAMING_SNAKE_CASE				=	number % 2
										# right shift the bits by unity
										SCREAMING_SNAKE_CASE				=	number >> 1
										# add that bit to our ans
										SCREAMING_SNAKE_CASE				=	result | end_bit
					return get_reverse_bit_string(SCREAMING_SNAKE_CASE_			)


if __name__ == "__main__":
	import doctest

	doctest.testmod()
