
class 							lowerCamelCase       :



  """simple docstring"""





  def __init__(					self					):
      A_								=					[0]
      A_								=					0

  def 					lowercase_						(					self						,    __UpperCamelCase					):
      A_								=					self.__heap[i]
      while i // 2 > 0:
          if self.__heap[i] > self.__heap[i // 2]:
              A_								=					self.__heap[i // 2]
              A_								=					temporary
          i //= 2

  def 					lowercase_						(					self						,    __UpperCamelCase					):
      self.__heap.append(__UpperCamelCase					)
      self.__size += 1
      self.__swap_up(self.__size					)

  def 					lowercase_						(					self						,    __UpperCamelCase					):







      while self.__size >= 2 * i:
          if 2 * i + 1 > self.__size:
              A_								=					2 * i
          else:
              if self.__heap[2 * i] > self.__heap[2 * i + 1]:
                  A_								=					2 * i
              else:
                  A_								=					2 * i + 1
          A_								=					self.__heap[i]
          if self.__heap[i] < self.__heap[bigger_child]:
              A_								=					self.__heap[bigger_child]
              A_								=					temporary
          A_								=					bigger_child

  def 					lowercase_						(					self					):
      A_								=					self.__heap[1]
      A_								=					self.__heap[self.__size]
      self.__size -= 1
      self.__heap.pop()
      self.__swap_down(1					)
      return max_value

  @property
  def 					lowercase_						(					self					):
      return self.__heap[1:]

  def __len__(					self					):
      return self.__size


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     # create an instance of BinaryHeap
     __magic_name__  :  str     			=   BinaryHeap()
     binary_heap.insert(6)
     binary_heap.insert(1_0)
     binary_heap.insert(1_5)
     binary_heap.insert(1_2)
     # 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       ( __lowerCAmelCase					,						__lowerCAmelCase					,						__lowerCAmelCase					,						)->    list[float | int]:





						"""simple docstring"""



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


if __name__ == "__main__":
		import doctest

		doctest.testmod()

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