



'''simple docstring'''






def 				lowerCamelCase__	(						_A			,      _A			,      _A    ):
  return not any(
      neighbour == 1 and colored_vertices[i] == color
      for i, neighbour in enumerate(_A    )    )
def 				lowerCamelCase__	(						_A			,      _A			,      _A			,      _A    ):

  # Base Case
  if index == len(_A    ):
    return True

  # Recursive Step
  for i in range(_A    ):
    if valid_coloring(graph[index]			,      _A			,      _A    ):
      # Color current vertex
      a						: int					       =					i
      # Validate coloring
      if util_color(_A			,      _A			,      _A			,      index + 1    ):
        return True
      # Backtrack
      a						: Union[str, Any]					       =					-1
  return False

def 				lowerCamelCase__	(						_A			,      _A    ):
  a						: Optional[int]					       =					[-1] * len(_A    )

  if util_color(_A			,      _A			,      _A			,      0    ):
    return colored_vertices

  return []




'''simple docstring'''






from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_tokenizers_available, is_torch_available


lowerCAmelCase: Optional[int]							=						{
    'configuration_graphormer': ['GRAPHORMER_PRETRAINED_CONFIG_ARCHIVE_MAP', 'GraphormerConfig'],
}

try:
     if not is_torch_available():
          raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
     pass
else:
     lowerCAmelCase: int							=						[
         'GRAPHORMER_PRETRAINED_MODEL_ARCHIVE_LIST',
         'GraphormerForGraphClassification',
         'GraphormerModel',
         'GraphormerPreTrainedModel',
     ]


if TYPE_CHECKING:
     from .configuration_graphormer import GRAPHORMER_PRETRAINED_CONFIG_ARCHIVE_MAP, GraphormerConfig

     try:
          if not is_torch_available():
               raise OptionalDependencyNotAvailable()
     except OptionalDependencyNotAvailable:
          pass
     else:
          from .modeling_graphormer import (
              GRAPHORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
              GraphormerForGraphClassification,
              GraphormerModel,
              GraphormerPreTrainedModel,
          )


else:
     import sys

     lowerCAmelCase: str							=						_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)