
class 	UpperCamelCase__       :

						'''simple docstring'''



						def __init__(  self	)  ->int:
									UpperCAmelCase__		:int 		=    [0]
									UpperCAmelCase__		:int 		=    0


						def    A__       (  self  , A	)  ->None:
									UpperCAmelCase__		:int 		=    self.__heap[i]
									while i // 2 > 0:
												if self.__heap[i] > self.__heap[i // 2]:
															UpperCAmelCase__		:Tuple 		=    self.__heap[i // 2]
															UpperCAmelCase__		:List[Any] 		=    temporary
												i //= 2


						def    A__       (  self  , A	)  ->None:
									self.__heap.append(A	)
									self.__size += 1
									self.__swap_up(self.__size	)


						def    A__       (  self  , A	)  ->None:
									while self.__size >= 2 * i:
												if 2 * i + 1 > self.__size:
															UpperCAmelCase__		:Tuple 		=    2 * i
												else:
															if self.__heap[2 * i] > self.__heap[2 * i + 1]:
																		UpperCAmelCase__		:Tuple 		=    2 * i
															else:
																		UpperCAmelCase__		:Optional[Any] 		=    2 * i + 1
												UpperCAmelCase__		:int 		=    self.__heap[i]
												if self.__heap[i] < self.__heap[bigger_child]:
															UpperCAmelCase__		:int 		=    self.__heap[bigger_child]
															UpperCAmelCase__		:Dict 		=    temporary
												UpperCAmelCase__		:Union[str, Any] 		=    bigger_child


						def    A__       (  self	)  ->int:
									UpperCAmelCase__		:Optional[Any] 		=    self.__heap[1]
									UpperCAmelCase__		:Optional[Any] 		=    self.__heap[self.__size]
									self.__size -= 1
									self.__heap.pop()
									self.__swap_down(1	)
									return max_value


						@property
						def    A__       (  self	)  ->str:
									return self.__heap[1:]


						def __len__(  self	)  ->List[Any]:
									return self.__size


if __name__ == "__main__":
						import doctest

						doctest.testmod()
						# create an instance of BinaryHeap
						__snake_case					:							List[Any]           =							BinaryHeap()
						binary_heap.insert(6)
						binary_heap.insert(10)
						binary_heap.insert(15)
						binary_heap.insert(12)
						# pop root(max-values because it is max heap)
						print(binary_heap.pop())  # 15
						print(binary_heap.pop())  # 12
						# get the list and size after operations
						print(binary_heap.get_list)
						print(len(binary_heap))







from __future__ import annotations




def 		A						(  SCREAMING_SNAKE_CASE     ,						SCREAMING_SNAKE_CASE     ,						SCREAMING_SNAKE_CASE     ,						):




			"""simple docstring"""


			if not all((nth_term, start_term_a, common_ratio_r)							):
						return []
			UpperCAmelCase__		:list[float | int] 		=    []
			UpperCAmelCase__		:str 		=    1
			UpperCAmelCase__		:Any 		=    common_ratio_r
			for _ in range(int(SCREAMING_SNAKE_CASE							)							):
						if not series:
									series.append(SCREAMING_SNAKE_CASE							)
						else:
									power += 1
									series.append(float(start_term_a * multiple							)							)
									UpperCAmelCase__		:str 		=    pow(float(SCREAMING_SNAKE_CASE							)     ,						SCREAMING_SNAKE_CASE							)
			return series


if __name__ == "__main__":
						import doctest

						doctest.testmod()

						__snake_case					:							Optional[int]           =							float(input('Enter the last number (n term) of the Geometric Series'))
						__snake_case					:							List[str]           =							float(input('Enter the starting term (a) of the Geometric Series'))
						__snake_case					:							Optional[int]           =							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))





