
'''simple docstring'''

class   a_  :




       def __init__(     self  ):
         _lowerCAmelCase       :  Any   				=					[0]
         _lowerCAmelCase       :  Optional[Any]   				=					0




       def 							__UpperCamelCase       (     self   ,   snake_case_  ):
         _lowerCAmelCase       :  int   				=					self.__heap[i]
         while i // 2 > 0:
           if self.__heap[i] > self.__heap[i // 2]:
             _lowerCAmelCase       :  Tuple   				=					self.__heap[i // 2]
             _lowerCAmelCase       :  List[Any]   				=					temporary
           i //= 2




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




       def 							__UpperCamelCase       (     self   ,   snake_case_  ):
         while self.__size >= 2 * i:
           if 2 * i + 1 > self.__size:
             _lowerCAmelCase       :  Union[str, Any]   				=					2 * i
           else:
             if self.__heap[2 * i] > self.__heap[2 * i + 1]:
               _lowerCAmelCase       :  Tuple   				=					2 * i
             else:
               _lowerCAmelCase       :  Union[str, Any]   				=					2 * i + 1
           _lowerCAmelCase       :  Optional[Any]   				=					self.__heap[i]
           if self.__heap[i] < self.__heap[bigger_child]:
             _lowerCAmelCase       :  Union[str, Any]   				=					self.__heap[bigger_child]
             _lowerCAmelCase       :  Dict   				=					temporary
           _lowerCAmelCase       :  str   				=					bigger_child




       def 							__UpperCamelCase       (     self  ):
         _lowerCAmelCase       :  Tuple   				=					self.__heap[1]
         _lowerCAmelCase       :  Dict   				=					self.__heap[self.__size]
         self.__size -= 1
         self.__heap.pop()
         self.__swap_down(1  )
         return max_value




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







       def __len__(     self  ):
         return self.__size


if __name__ == "__main__":
     import doctest

     doctest.testmod()
     # create an instance of BinaryHeap
     UpperCamelCase_     			=       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'''

def 	_UpperCAmelCase				(  _lowerCamelCase						:       int  ,      _lowerCamelCase						:       int  ,      _lowerCamelCase						:       int		)    ->						float:
  if common_ratio == 1:
    # Formula for sum if common ratio is 1
    return num_of_terms * first_term

  # Formula for finding sum of n terms of a GeometricProgression
  return (first_term / (1 - common_ratio)) * (1 - common_ratio**num_of_terms)


