



"""simple docstring"""






def   snake_case__     (	__lowerCamelCase       :					int			):
			"""simple docstring"""

			if isinstance(__lowerCamelCase							,	__lowerCamelCase			):
						raise TypeError('''\'float\' object cannot be interpreted as an integer'''			)
			if isinstance(__lowerCamelCase							,	__lowerCamelCase			):
						raise TypeError('''\'str\' object cannot be interpreted as an integer'''			)

			if num == 0:
						return "0b0"

			lowerCamelCase__	:	Union[str, Any]				=False

			if num < 0:
						lowerCamelCase__	:	List[Any]				=True
						lowerCamelCase__	:	Union[str, Any]				=-num

			lowerCamelCase__	:	list[int]				=[]
			while num > 0:
						binary.insert(0							,	num % 2			)
						num >>= 1

			if negative:
						return "-0b" + "".join(str(__lowerCamelCase			) for e in binary			)

			return "0b" + "".join(str(__lowerCamelCase			) for e in binary			)


if __name__ == "__main__":
		import doctest

		doctest.testmod()









"""simple docstring"""






def   snake_case__     (	__lowerCamelCase       :					list							,	__lowerCamelCase       :					list							,	__lowerCamelCase       :					int							,	__lowerCamelCase       :					int							,	__lowerCamelCase       :					int			):
			"""simple docstring"""
			if index == number_of_items:
						return 0
			lowerCamelCase__	:	Optional[int]				=0
			lowerCamelCase__	:	Union[str, Any]				=0
			lowerCamelCase__	:	List[str]				=knapsack(__lowerCamelCase							,	__lowerCamelCase							,	__lowerCamelCase							,	__lowerCamelCase							,	index + 1			)
			if weights[index] <= max_weight:
						lowerCamelCase__	:	Dict				=values[index] + knapsack(
						    __lowerCamelCase							,	__lowerCamelCase							,	__lowerCamelCase							,	max_weight - weights[index]							,	index + 1			)
			return max(__lowerCamelCase							,	__lowerCamelCase			)


if __name__ == "__main__":
		import doctest

		doctest.testmod()




