




class  lowerCamelCase     :






			'''simple docstring'''





			def __init__(			self      : Tuple	)    -> Any:
								__magic_name__				:						Dict     				=				[0]
								__magic_name__				:						str     				=				0

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

			def 				UpperCAmelCase__							(			self      : Union[str, Any]							,    lowerCamelCase_      : List[str]	)    -> None:
								self.__heap.append(__UpperCamelCase	)
								self.__size += 1
								self.__swap_up(self.__size	)

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

			def 				UpperCAmelCase__							(			self      : List[Any]	)    -> int:
								__magic_name__				:						Tuple     				=				self.__heap[1]
								__magic_name__				:						Dict     				=				self.__heap[self.__size]
								self.__size -= 1
								self.__heap.pop()
								self.__swap_down(1	)
								return max_value

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


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


if __name__ == "__main__":
	import doctest

	doctest.testmod()
	# create an instance of BinaryHeap
	__lowerCamelCase :    Tuple      						=      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))







'''simple docstring'''

from __future__ import annotations






def __UpperCamelCase (      __lowerCamelCase		:			float | int   ,	__lowerCamelCase		:			float | int   ,	__lowerCamelCase		:			float | int   ,	)   ->  list[float | int]:







     '''simple docstring'''






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


if __name__ == "__main__":
   import doctest

   doctest.testmod()

   lowercase__					  =		float(input("Enter the last number (n term) of the Geometric Series"))
   lowercase__					  =		float(input("Enter the starting term (a) of the Geometric Series"))
   lowercase__					  =		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))

