code: 
  
  
  
  
  
  class 	UpperCamelCase_     :
  
  
  
  					def __init__(		self    :    Optional[Any]	):
  							lowerCamelCase_  :    Dict   	=			[0]
  							lowerCamelCase_  :    List[str]   	=			0
  
  
  
  					def      __a    (		self    :    List[str]					,			lowerCamelCase    :    Union[str, Any]	):
  							lowerCamelCase_  :    List[str]   	=			self.__heap[i]
  							while i // 2 > 0:
  									if self.__heap[i] > self.__heap[i // 2]:
  											lowerCamelCase_  :    Optional[Any]   	=			self.__heap[i // 2]
  											lowerCamelCase_  :    int   	=			temporary
  									i //= 2
  
  
  
  					def      __a    (		self    :    List[Any]					,			lowerCamelCase    :    str	):
  							self.__heap.append(lowerCamelCase	)
  							self.__size += 1
  							self.__swap_up(self.__size	)
  
  
  
  					def      __a    (		self    :    Dict					,			lowerCamelCase    :    Any	):
  
  
  
  
  
  
  
  							while self.__size >= 2 * i:
  									if 2 * i + 1 > self.__size:
  											lowerCamelCase_  :    Any   	=			2 * i
  									else:
  											if self.__heap[2 * i] > self.__heap[2 * i + 1]:
  													lowerCamelCase_  :    Optional[int]   	=			2 * i
  											else:
  													lowerCamelCase_  :    str   	=			2 * i + 1
  									lowerCamelCase_  :    Dict   	=			self.__heap[i]
  									if self.__heap[i] < self.__heap[bigger_child]:
  											lowerCamelCase_  :    int   	=			self.__heap[bigger_child]
  											lowerCamelCase_  :    Union[str, Any]   	=			temporary
  									lowerCamelCase_  :    Any   	=			bigger_child
  
  
  
  					def      __a    (		self    :    int	):
  							lowerCamelCase_  :    List[Any]   	=			self.__heap[1]
  							lowerCamelCase_  :    List[str]   	=			self.__heap[self.__size]
  							self.__size -= 1
  							self.__heap.pop()
  							self.__swap_down(1	)
  							return max_value
  
  
  
  					@property
  					def      __a    (		self    :    int	):
  							return self.__heap[1:]
  
  
  
  
  
  					def __len__(		self    :    int	):
  							return self.__size
  
  
  if __name__ == "__main__":
  		import doctest
  
  		doctest.testmod()
  		# create an instance of BinaryHeap
  		_lowercase		:     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))
  
style_context: 
  
  
  
  
  
  from __future__ import annotations
  
  
  def 		_SCREAMING_SNAKE_CASE    (   lowerCAmelCase__	):
  		lowerCamelCase_  :    int
  		lowerCamelCase_  :    list[str]   	=			list(lowerCAmelCase__	)
  		lowerCamelCase_	,			lowerCamelCase_  :    List[str]   	=			_vector[:-1], int(_vector[-1]	)
  		lowerCamelCase_  :    list[int]   	=			[int(lowerCAmelCase__	) for digit in __vector]
  
  		vector.reverse()
  		for i, digit in enumerate(lowerCAmelCase__	):
  				if i & 1 == 0:
  						lowerCamelCase_  :    int   	=			digit * 2
  						if doubled > 9:
  								doubled -= 9
  						check_digit += doubled
  				else:
  						check_digit += digit
  
  		return check_digit % 10 == 0
  
  
  if __name__ == "__main__":
  		import doctest
  
  		doctest.testmod()
  		assert is_luhn("""79927398713""")
  		assert not is_luhn("""79927398714""")
  