




'''simple docstring'''






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

def 			__lowerCAmelCase					(    snake_case__					,      snake_case__					,      snake_case__					,      snake_case__						):

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

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




def 			__lowerCAmelCase					(    snake_case__					,      snake_case__						):
			__UpperCamelCase      :			Union[str, Any]									=   [-1] * len(snake_case__						)

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

			return []








from typing import TYPE_CHECKING

from ...utils import (
    OptionalDependencyNotAvailable,
    _LazyModule,
    is_sentencepiece_available,
    is_tokenizers_available,
    is_torch_available,
)


a_   :Optional[Any]        =      {"configuration_reformer": ["REFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP", "ReformerConfig"]}

try:
 if not is_sentencepiece_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 a_   :str        =      ["ReformerTokenizer"]

try:
 if not is_tokenizers_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 a_   :int        =      ["ReformerTokenizerFast"]

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 a_   :List[str]        =      [
     "REFORMER_PRETRAINED_MODEL_ARCHIVE_LIST",
     "ReformerAttention",
     "ReformerForMaskedLM",
     "ReformerForQuestionAnswering",
     "ReformerForSequenceClassification",
     "ReformerLayer",
     "ReformerModel",
     "ReformerModelWithLMHead",
     "ReformerPreTrainedModel",
 ]


if TYPE_CHECKING:
 from .configuration_reformer import REFORMER_PRETRAINED_CONFIG_ARCHIVE_MAP, ReformerConfig

 try:
  if not is_sentencepiece_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .tokenization_reformer import ReformerTokenizer

 try:
  if not is_tokenizers_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .tokenization_reformer_fast import ReformerTokenizerFast

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_reformer import (
      REFORMER_PRETRAINED_MODEL_ARCHIVE_LIST,
      ReformerAttention,
      ReformerForMaskedLM,
      ReformerForQuestionAnswering,
      ReformerForSequenceClassification,
      ReformerLayer,
      ReformerModel,
      ReformerModelWithLMHead,
      ReformerPreTrainedModel,
  )

else:
 import sys

 a_   :Optional[Any]        =      _LazyModule(__name__, globals()["__file__"], _import_structure, module_spec=__spec__)






