
from itertools import product
def       UpperCAmelCase__							(    __magic_name__  :       int = 15					):


					'''simple docstring'''

					lowerCAmelCase						:   float							=       0.0
					lowerCAmelCase						:   float
					lowerCAmelCase						:   int
					lowerCAmelCase						:   int
					lowerCAmelCase						:   int
					lowerCAmelCase						:   int
					lowerCAmelCase						:   tuple[int, ...]

					for series in product(range(2					)							,					repeat=__magic_name__					):
										lowerCAmelCase						:   Any							=       series.count(1					)
										lowerCAmelCase						:   Any							=       num_turns - num_blue
										if num_red >= num_blue:
															continue
										lowerCAmelCase						:   Dict							=       1.0
										for ind, col in enumerate(__magic_name__							,					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() = }""")


def       UpperCAmelCase__							(    __magic_name__  :       Union[str, Any]							,					__magic_name__  :       int					):


					'''simple docstring'''

					sequence.append(__magic_name__					)

					lowerCAmelCase						:   Tuple							=       0
					while sequence[index] != target:
										index += 1

					sequence.pop()

					if index == len(__magic_name__					):
										return None

					return index


if __name__ == "__main__":
		__SCREAMING_SNAKE_CASE     :				Dict             =       input('Enter numbers separated by comma:\n').strip()
		__SCREAMING_SNAKE_CASE     :				int             =       [int(item) for item in user_input.split(',')]

		__SCREAMING_SNAKE_CASE     :				str             =       input('Enter a single number to be found in the list:\n')
		__SCREAMING_SNAKE_CASE     :				Tuple             =       int(target_input)
		__SCREAMING_SNAKE_CASE     :				Union[str, Any]             =       sentinel_linear_search(sequence, target)
		if result is not None:
				print(f"""{target} found at positions: {result}""")
		else:
				print('Not found')
