





from __future__ import annotations





class 	lowerCAmelCase__:






       '''simple docstring'''


       def __init__(					self			,  __lowerCamelCase = 0							)	->   None:
            _SCREAMING_SNAKE_CASE				:		Any  			=							value
            _SCREAMING_SNAKE_CASE				:		Node | None  			=							None
            _SCREAMING_SNAKE_CASE				:		Node | None  			=							None






def 			lowerCamelCase__	(__lowerCamelCase,				__lowerCamelCase		):
     if treea is None:
          return treea
     if treea is None:
          return treea

     _SCREAMING_SNAKE_CASE				:		str  			=							treea.value + treea.value
     _SCREAMING_SNAKE_CASE				:		str  			=							merge_two_binary_trees(treea.left,				treea.left		)
     _SCREAMING_SNAKE_CASE				:		Optional[Any]  			=							merge_two_binary_trees(treea.right,				treea.right		)
     return treea






def 			lowerCamelCase__	(__lowerCamelCase		):
     if root:
          print(root.value		)
          print_preorder(root.left		)
          print_preorder(root.right		)


if __name__ == "__main__":
       UpperCamelCase__          =Node(1)
       UpperCamelCase__          =Node(2)
       UpperCamelCase__          =Node(3)
       UpperCamelCase__          =Node(4)

       UpperCamelCase__          =Node(2)
       UpperCamelCase__          =Node(4)
       UpperCamelCase__          =Node(6)
       UpperCamelCase__          =Node(9)
       UpperCamelCase__          =Node(5)

       print('Tree1 is: ')
       print_preorder(treea)
       print('Tree2 is: ')
       print_preorder(treea)
       UpperCamelCase__          =merge_two_binary_trees(treea, treea)
       print('Merged Tree is: ')
       print_preorder(merged_tree)


from hashlib import mda, shaaaa

SCREAMING_SNAKE_CASE_						=					(shaaaa, mda)

class  a     :


						def __init__(				self  ,    A_ = 8		):







										'''simple docstring'''


										_UpperCAmelCase				:						Any       						=			0B0
										_UpperCAmelCase				:						Optional[Any]       						=			size


						def 				_UpperCAmelCase (				self  ,    A_		):







										'''simple docstring'''


										_UpperCAmelCase				:						Optional[Any]       						=			self.hash_(A_		)
										self.bitarray |= h


						def 				_UpperCAmelCase (				self  ,    A_		):







										'''simple docstring'''


										_UpperCAmelCase				:						int       						=			self.hash_(A_		)
										return (h & self.bitarray) == h


						def __contains__(				self  ,    A_		):







										'''simple docstring'''


										return self.exists(A_		)


						def 				_UpperCAmelCase (				self  ,    A_		):







										'''simple docstring'''


										_UpperCAmelCase				:						Optional[int]       						=			bin(A_		)[2:]
										return res.zfill(self.size		)


						@property
						def 				_UpperCAmelCase (				self		):







										'''simple docstring'''


										return self.format_bin(self.bitarray		)


						def 				_UpperCAmelCase (				self  ,    A_		):







										'''simple docstring'''


										_UpperCAmelCase				:						Union[str, Any]       						=			0B0
										for func in HASH_FUNCTIONS:
														_UpperCAmelCase				:						str       						=			(
														    int.from_bytes(func(value.encode()		).digest()  ,    "little"		) % self.size
														)
														res |= 2**position
										return res


						def 				_UpperCAmelCase (				self  ,    A_		):







										'''simple docstring'''


										return self.format_bin(self.hash_(A_		)		)





						@property
						def 				_UpperCAmelCase (				self		):







										'''simple docstring'''


										_UpperCAmelCase				:						Union[str, Any]       						=			bin(self.bitarray		).count("1"		)
										return (n_ones / self.size) ** len(A_		)


