




'''simple docstring'''






class 					lowercase_			:





     def __init__(    self    :				List[str]    ,       __lowerCamelCase    :				int ):
           snake_case__					:      Any  			=						data
           snake_case__					:      BinaryTreeNode | None  			=						None
           snake_case__					:      BinaryTreeNode | None  			=						None






def 		UpperCamelCase__			(		__SCREAMING_SNAKE_CASE							,			__SCREAMING_SNAKE_CASE		)						->      BinaryTreeNode | None:
      if node is None:
            snake_case__					:      Optional[int]  			=						BinaryTreeNode(__SCREAMING_SNAKE_CASE		)
            return node

      # binary search tree is not empty,
      # so we will insert it into the tree
      # if new_value is less than value of data in node,
      #  add it to left subtree and proceed recursively
      if new_value < node.data:
            snake_case__					:      Dict  			=						insert(node.left_child							,			__SCREAMING_SNAKE_CASE		)
      else:
            # if new_value is greater than value of data in node,
            #  add it to right subtree and proceed recursively
            snake_case__					:      Union[str, Any]  			=						insert(node.right_child							,			__SCREAMING_SNAKE_CASE		)
      return node






def 		UpperCamelCase__			(		__SCREAMING_SNAKE_CASE		)						->      list[int]:  # if node is None,return
      if node:
            snake_case__					:      List[Any]  			=						inorder(node.left_child		)
            snake_case__					:      List[str]  			=						[*inorder_array, node.data]
            snake_case__					:      Union[str, Any]  			=						inorder_array + inorder(node.right_child		)
      else:
            snake_case__					:      List[str]  			=						[]
      return inorder_array






def 		UpperCamelCase__			(		)						->      BinaryTreeNode | None:
      snake_case__					:      Dict  			=						insert(__SCREAMING_SNAKE_CASE							,			15		)
      insert(__SCREAMING_SNAKE_CASE							,			10		)
      insert(__SCREAMING_SNAKE_CASE							,			25		)
      insert(__SCREAMING_SNAKE_CASE							,			6		)
      insert(__SCREAMING_SNAKE_CASE							,			14		)
      insert(__SCREAMING_SNAKE_CASE							,			20		)
      insert(__SCREAMING_SNAKE_CASE							,			60		)
      return root






def 		UpperCamelCase__			(		)						->      None:
      # main function
      snake_case__					:      Optional[int]  			=						make_tree()
      print('Printing values of binary search tree in Inorder Traversal.'		)
      inorder(__SCREAMING_SNAKE_CASE		)


if __name__ == "__main__":
      import doctest

      doctest.testmod()
      main()






'''simple docstring'''






class 					lowercase_			:





     def __init__(    self    :				Any ):
           snake_case__					:      List[str]  			=						[0]
           snake_case__					:      Optional[Any]  			=						0





     def  _lowerCAmelCase			(    self    :				List[str]    ,       __lowerCamelCase    :				int ):
           snake_case__					:      Optional[int]  			=						self.__heap[i]
           while i // 2 > 0:
                 if self.__heap[i] > self.__heap[i // 2]:
                       snake_case__					:      Union[str, Any]  			=						self.__heap[i // 2]
                       snake_case__					:      Union[str, Any]  			=						temporary
                 i //= 2





     def  _lowerCAmelCase			(    self    :				int    ,       __lowerCamelCase    :				int ):
           self.__heap.append(__lowerCamelCase )
           self.__size += 1
           self.__swap_up(self.__size )





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





     def  _lowerCAmelCase			(    self    :				Union[str, Any] ):
           snake_case__					:      Any  			=						self.__heap[1]
           snake_case__					:      List[str]  			=						self.__heap[self.__size]
           self.__size -= 1
           self.__heap.pop()
           self.__swap_down(1 )
           return max_value





     @property
     def  _lowerCAmelCase			(    self    :				Union[str, Any] ):
           return self.__heap[1:]





     def __len__(    self    :				int ):
           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))
