





from collections import defaultdict





def   lowerCAmelCase_				( __a	)  ->	int:







  """simple docstring"""





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





def   lowerCAmelCase_				( )  ->	Union[str, Any]:







  """simple docstring"""





  dfs(1	)


if __name__ == "__main__":
     __A      ,			__A             =       10, 9
     __A             =       defaultdict(list)
     __A             =       {}
     __A             =       []
     __A             =       0
     __A             =       [(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 typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__A             =       {
    "configuration_jukebox": [
        "JUKEBOX_PRETRAINED_CONFIG_ARCHIVE_MAP",
        "JukeboxConfig",
        "JukeboxPriorConfig",
        "JukeboxVQVAEConfig",
    ],
    "tokenization_jukebox": ["JukeboxTokenizer"],
}

try:
     if not is_torch_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     __A             =       [
         "JUKEBOX_PRETRAINED_MODEL_ARCHIVE_LIST",
         "JukeboxModel",
         "JukeboxPreTrainedModel",
         "JukeboxVQVAE",
         "JukeboxPrior",
     ]

if TYPE_CHECKING:
     from .configuration_jukebox import (
         JUKEBOX_PRETRAINED_CONFIG_ARCHIVE_MAP,
         JukeboxConfig,
         JukeboxPriorConfig,
         JukeboxVQVAEConfig,
     )
     from .tokenization_jukebox import JukeboxTokenizer

     try:
          if not is_torch_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_jukebox import (
              JUKEBOX_PRETRAINED_MODEL_ARCHIVE_LIST,
              JukeboxModel,
              JukeboxPreTrainedModel,
              JukeboxPrior,
              JukeboxVQVAE,
          )

else:
     import sys

     __A             =       _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)

