

"""simple docstring"""





from ..utils import DummyObject, requires_backends




class 					_lowerCAmelCase  (	metaclass=lowercase   ):







 """simple docstring"""







 __UpperCAmelCase	:					Tuple   		=	["torch", "scipy"]


 def __init__(			self							:			Any,					*UpperCAmelCase__							:			Optional[Any],					**UpperCAmelCase__							:			Dict	):
    requires_backends(self,					["torch", "scipy"]	)


 @classmethod
 def 					_lowercase (			cls							:			str,					*UpperCAmelCase__							:			str,					**UpperCAmelCase__							:			List[str]	):
    requires_backends(cls,					["torch", "scipy"]	)



 @classmethod
 def 					_lowercase (			cls							:			Tuple,					*UpperCAmelCase__							:			Dict,					**UpperCAmelCase__							:			Optional[Any]	):
    requires_backends(cls,					["torch", "scipy"]	)








from collections import defaultdict

def       lowercase_		(		_A			:    int						):

      """simple docstring"""




      lowerCamelCase__		:				Union[str, Any]    =  1
      lowerCamelCase__		:				Dict    =  True
      for v in tree[start]:
            if v not in visited:
                  ret += dfs(_A						)
      if ret % 2 == 0:
            cuts.append(_A						)
      return ret

def       lowercase_		(		):

      """simple docstring"""




      dfs(1						)


if __name__ == "__main__":
    A,  A      :    Tuple		=					10, 9
    A      :    int		=					defaultdict(list)
    A      :    dict[int, bool]		=					{}
    A      :    list[int]		=					[]
    A      :    List[str]		=					0
    A      :    Tuple		=					[(2, 1), (3, 1), (4, 3), (5, 2), (6, 1), (7, 2), (8, 6), (9, 8), (10, 8)]
    for u, v in edges:
        tree[u].append(v)
        tree[v].append(u)
    even_tree()
    print(len(cuts) - 1)


