




'''simple docstring'''







from __future__ import annotations






def 		_lowercase		(	lowercase_						,							lowercase_						,							lowercase_						,							):



		'''simple docstring'''







		if not all((nth_term, start_term_a, common_ratio_r)  ):
				return []
		_snake_case	       =       []
		_snake_case	       =       1
		_snake_case	       =       common_ratio_r
		for _ in range(int(UpperCamelCase_  )  ):
				if not series:
						series.append(UpperCamelCase_  )
				else:
						power += 1
						series.append(float(start_term_a * multiple  )  )
						_snake_case	       =       pow(float(UpperCamelCase_  )						,							UpperCamelCase_  )
		return series


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						_lowerCamelCase							:						Union[str, Any]								=  float(input('Enter the last number (n term) of the Geometric Series'))
						_lowerCamelCase							:						List[str]								=  float(input('Enter the starting term (a) of the Geometric Series'))
						_lowerCamelCase							:						Union[str, Any]								=  float(
						    input('Enter the common ratio between two terms (r) of the Geometric Series')
						)
						print('Formula of Geometric Series => a + ar + ar^2 ... +ar^n')
						print(geometric_series(nth_term, start_term_a, common_ratio_r))











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))

