




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




def 							_UpperCAmelCase     (UpperCamelCase_       :       list				):
				'''simple docstring'''
				if not isinstance(UpperCamelCase_					,			UpperCamelCase_				):
								raise ValueError("""Input series is not valid, valid series - [2, 4, 8]"""				)
				if len(UpperCamelCase_				) == 0:
								raise ValueError("""Input list must be a non empty list"""				)
				_lowerCAmelCase			:			int        =					1
				for value in series:
								answer *= value
				return pow(UpperCamelCase_					,			1 / len(UpperCamelCase_				)				)


if __name__ == "__main__":
	import doctest

	doctest.testmod()







def 							_UpperCAmelCase     (UpperCamelCase_       :       int					,			UpperCamelCase_       :       Optional[int]				):
				'''simple docstring'''
				_lowerCAmelCase			:			Dict        =					len(UpperCamelCase_				)
				# Create a stack and push index of fist element to it
				_lowerCAmelCase			:			Tuple        =					[]
				st.append(0				)

				# Span value of first element is always 1
				_lowerCAmelCase			:			List[Any]        =					1

				# Calculate span values for rest of the elements
				for i in range(1					,			UpperCamelCase_				):
								# Pop elements from stack while stack is not
								# empty and top of stack is smaller than price[i]
								while len(UpperCamelCase_				) > 0 and price[st[0]] <= price[i]:
												st.pop()

								# If stack becomes empty, then price[i] is greater
								# than all elements on left of it, i.e. price[0],
								# price[1], ..price[i-1]. Else the price[i]  is
								# greater than elements after top of stack
								_lowerCAmelCase			:			Union[str, Any]        =					i + 1 if len(UpperCamelCase_				) <= 0 else (i - st[0])

								# Push this element to stack
								st.append(UpperCamelCase_				)




def 							_UpperCAmelCase     (UpperCamelCase_       :       Dict					,			UpperCamelCase_       :       Union[str, Any]				):
				'''simple docstring'''
				for i in range(0					,			UpperCamelCase_				):
								print(arr[i]					,			end=""" """				)


# Driver program to test above function
_lowerCamelCase					:     Union[str, Any]					  =  [1_0, 4, 5, 9_0, 1_2_0, 8_0]
_lowerCamelCase					:     List[Any]					  =  [0 for i in range(len(price) + 1)]

# Fill the span values in array S[]
calculation_span(price, S)





print_array(S, len(price))

