

from collections import defaultdict


def        __lowerCAmelCase    (       _UpperCamelCase		:  int	)		->							int:
 '''simple docstring'''


 SCREAMING_SNAKE_CASE								=			1
 SCREAMING_SNAKE_CASE								=			True
 for v in tree[start]:
  if v not in visited:
   ret += dfs(_UpperCamelCase	)
 if ret % 2 == 0:
  cuts.append(_UpperCamelCase	)
 return ret


def        __lowerCAmelCase    (       )		->							Union[str, Any]:
 '''simple docstring'''


 dfs(1	)


if __name__ == "__main__":
      a_		,		a_    :						Optional[int]    		=      10, 9
      a_    :						int    		=      defaultdict(list)
      a_    :						dict[int, bool]    		=      {}
      a_    :						list[int]    		=      []
      a_    :						Dict    		=      0
      a_    :						List[Any]    		=      [(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)




from ...utils import (
    OptionalDependencyNotAvailable,
    is_torch_available,
    is_transformers_available,
    is_transformers_version,
)


try:
      if not (is_transformers_available() and is_torch_available()):
            raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
      from ...utils.dummy_torch_and_transformers_objects import (
          ImageTextPipelineOutput,
          UniDiffuserPipeline,
      )
else:
      from .modeling_text_decoder import UniDiffuserTextDecoder
      from .modeling_uvit import UniDiffuserModel, UTransformeraDModel
      from .pipeline_unidiffuser import ImageTextPipelineOutput, UniDiffuserPipeline

