
'''simple docstring'''
class 			__A					:
 def __init__( self      :     str							):



   """simple docstring"""





   __A		:  Optional[Any]       				=		[0]
   __A		:  int       				=		0
 def 		lowercase_( self      :     List[str]					, lowerCamelCase      :     int							):



   """simple docstring"""





   __A		:  Dict       				=		self.__heap[i]
   while i // 2 > 0:
     if self.__heap[i] > self.__heap[i // 2]:
       __A		:  Optional[Any]       				=		self.__heap[i // 2]
       __A		:  List[str]       				=		temporary
     i //= 2
 def 		lowercase_( self      :     Tuple					, lowerCamelCase      :     int							):



   """simple docstring"""





   self.__heap.append(lowerCamelCase							)
   self.__size += 1
   self.__swap_up(self.__size							)
 def 		lowercase_( self      :     Optional[int]					, lowerCamelCase      :     int							):



   """simple docstring"""





   while self.__size >= 2 * i:
     if 2 * i + 1 > self.__size:
       __A		:  Tuple       				=		2 * i
     else:
       if self.__heap[2 * i] > self.__heap[2 * i + 1]:
         __A		:  int       				=		2 * i
       else:
         __A		:  Any       				=		2 * i + 1
     __A		:  Tuple       				=		self.__heap[i]
     if self.__heap[i] < self.__heap[bigger_child]:
       __A		:  List[str]       				=		self.__heap[bigger_child]
       __A		:  str       				=		temporary
     __A		:  Dict       				=		bigger_child
 def 		lowercase_( self      :     Dict							):



   """simple docstring"""





   __A		:  Union[str, Any]       				=		self.__heap[1]
   __A		:  List[Any]       				=		self.__heap[self.__size]
   self.__size -= 1
   self.__heap.pop()
   self.__swap_down(1							)
   return max_value
 @property
 def 		lowercase_( self      :     str							):



   """simple docstring"""





   return self.__heap[1:]






 def __len__( self      :     str							):



   """simple docstring"""





   return self.__size


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     # create an instance of BinaryHeap
     A__ :		Optional[int]					=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 							A_  (    __SCREAMING_SNAKE_CASE    :	float | int      ,  __SCREAMING_SNAKE_CASE    :	float | int      ,  __SCREAMING_SNAKE_CASE    :	float | int      ,  )					->							list[float | int]:





  """simple docstring"""

  if not all((nth_term, start_term_a, common_ratio_r)			):
    return []
  __A		:  list[float | int]       				=		[]
  __A		:  Union[str, Any]       				=		1
  __A		:  List[str]       				=		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			)			)
      __A		:  List[str]       				=		pow(float(__SCREAMING_SNAKE_CASE			)      ,  __SCREAMING_SNAKE_CASE			)
  return series


if __name__ == "__main__":
     import doctest

     doctest.testmod()

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



