





'''simple docstring'''






def      __A						(							a_						:  list      ,a_						:  list      ,a_						:  int      ,a_						:  int      ,a_						:  int	):
		if index == number_of_items:
				return 0
		lowerCAmelCase     :    int						=   0
		lowerCAmelCase     :    List[Any]						=   0
		lowerCAmelCase     :    List[Any]						=   knapsack(snake_case__      ,snake_case__      ,snake_case__      ,snake_case__      ,index + 1	)
		if weights[index] <= max_weight:
				lowerCAmelCase     :    Any						=   values[index] + knapsack(
				    snake_case__      ,snake_case__      ,snake_case__      ,max_weight - weights[index]      ,index + 1	)
		return max(snake_case__      ,snake_case__	)


if __name__ == "__main__":
					import doctest

					doctest.testmod()










'''simple docstring'''






def      __A						(							a_						:  int	):
		assert (
		    isinstance(a_      ,a_	) and number_of_steps > 0
		), f'''number_of_steps needs to be positive integer, your input {number_of_steps}'''
		if number_of_steps == 1:
				return 1
		lowerCAmelCase	,		lowerCAmelCase     :    int						=   1, 1
		for _ in range(number_of_steps - 1	):
				lowerCAmelCase	,		lowerCAmelCase     :    Union[str, Any]						=   current + previous, current
		return current


if __name__ == "__main__":
					import doctest

					doctest.testmod()



