code: 
  
  
  
  
  
  
  class 							_A :
      """simple docstring"""
  
      def __init__(							self			:    Optional[Any]			)			->       Any:
             __UpperCAmelCase    							=[0]
             __UpperCAmelCase    							=0
  
  
  
      def _a       (							self			:    Optional[Any]   ,    __SCREAMING_SNAKE_CASE			:    int			)			->       None:
             __UpperCAmelCase    							=self.__heap[i]
             while i // 2 > 0:
                    if self.__heap[i] > self.__heap[i // 2]:
                           __UpperCAmelCase    							=self.__heap[i // 2]
                           __UpperCAmelCase    							=temporary
                    i //= 2
  
  
  
      def _a       (							self			:    List[str]   ,    __SCREAMING_SNAKE_CASE			:    int			)			->       None:
             self.__heap.append(__SCREAMING_SNAKE_CASE			)
             self.__size += 1
             self.__swap_up(self.__size			)
  
  
  
      def _a       (							self			:    Any   ,    __SCREAMING_SNAKE_CASE			:    int			)			->       None:
             while self.__size >= 2 * i:
                    if 2 * i + 1 > self.__size:
                           __UpperCAmelCase    							=2 * i
                    else:
                           if self.__heap[2 * i] > self.__heap[2 * i + 1]:
                                  __UpperCAmelCase    							=2 * i
                           else:
                                  __UpperCAmelCase    							=2 * i + 1
                    __UpperCAmelCase    							=self.__heap[i]
                    if self.__heap[i] < self.__heap[bigger_child]:
                           __UpperCAmelCase    							=self.__heap[bigger_child]
                           __UpperCAmelCase    							=temporary
                    __UpperCAmelCase    							=bigger_child
  
  
  
      def _a       (							self			:    int			)			->       int:
             __UpperCAmelCase    							=self.__heap[1]
             __UpperCAmelCase    							=self.__heap[self.__size]
             self.__size -= 1
             self.__heap.pop()
             self.__swap_down(1			)
             return max_value
  
  
  
      @property
      def _a       (							self			:    List[str]			)			->       Optional[Any]:
             return self.__heap[1:]
  
  
  
      def __len__(							self			:    Optional[int]			)			->       List[str]:
             return self.__size
  
  
  if __name__ == "__main__":
     import doctest
  
     doctest.testmod()
     # create an instance of BinaryHeap
     __A  							=			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))
  
  
  
  
  
style_context: 
  
  
  
  
  
  
  __A  							=  [0.485, 0.456, 0.406]
  __A  							=  [0.229, 0.224, 0.225]
  __A  							=  [0.5, 0.5, 0.5]
  __A  							=  [0.5, 0.5, 0.5]
  __A  							=  [0.4814_5466, 0.457_8275, 0.4082_1073]
  __A  							=  [0.2686_2954, 0.2613_0258, 0.2757_7711]
  
  
  
  
  