






"""simple docstring"""







def 							SCREAMING_SNAKE_CASE							(   lowerCamelCase_):
					if not isinstance(lowerCamelCase_			,  lowerCamelCase_):
										raise ValueError('''Input series is not valid, valid series - [2, 4, 8]''')
					if len(lowerCamelCase_) == 0:
										raise ValueError('''Input list must be a non empty list''')
					if len(lowerCamelCase_) == 1:
										return True
					try:
										a__ 							=	series[1] / series[0]
										for index in range(len(lowerCamelCase_) - 1):
															if series[index + 1] / series[index] != common_ratio:
																				return False
					except ZeroDivisionError:
										return False
					return True





def 							SCREAMING_SNAKE_CASE							(   lowerCamelCase_):
					if not isinstance(lowerCamelCase_			,  lowerCamelCase_):
										raise ValueError('''Input series is not valid, valid series - [2, 4, 8]''')
					if len(lowerCamelCase_) == 0:
										raise ValueError('''Input list must be a non empty list''')
					a__ 							=	1
					for value in series:
										answer *= value
					return pow(lowerCamelCase_			,  1 / len(lowerCamelCase_))


if __name__ == "__main__":
	import doctest

	doctest.testmod()










"""simple docstring"""







from __future__ import annotations





def 							SCREAMING_SNAKE_CASE							(   lowerCamelCase_			,  lowerCamelCase_			,  lowerCamelCase_			,  lowerCamelCase_):

					# Base Case
					if counter == 0 or capacity == 0:
										return 0

					# If weight of the nth item is more than Knapsack of capacity,
					#   then this item cannot be included in the optimal solution,
					# else return the maximum of two cases:
					#   (1) nth item included
					#   (2) not included
					if weights[counter - 1] > capacity:
										return knapsack(lowerCamelCase_			,  lowerCamelCase_			,  lowerCamelCase_			,  counter - 1)
					else:
										a__ 							=	capacity - weights[counter - 1]
										a__ 							=	values[counter - 1] + knapsack(
										    lowerCamelCase_			,  lowerCamelCase_			,  lowerCamelCase_			,  counter - 1)
										a__ 							=	knapsack(lowerCamelCase_			,  lowerCamelCase_			,  lowerCamelCase_			,  counter - 1)
										return max(lowerCamelCase_			,  lowerCamelCase_)


if __name__ == "__main__":
	import doctest

	doctest.testmod()


