





def      _lowercase					(						_UpperCAmelCase			,      _UpperCAmelCase			,      _UpperCAmelCase				)						->  bool:
				return not any(
				    neighbour == 1 and colored_vertices[i] == color
				    for i, neighbour in enumerate(_UpperCamelCase				)				)





def      _lowercase					(						_UpperCAmelCase			,      _UpperCAmelCase			,      _UpperCAmelCase			,      _UpperCAmelCase				)						->  bool:






				if index == len(_UpperCamelCase				):
								return True

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





def      _lowercase					(						_UpperCAmelCase			,      _UpperCAmelCase				)						->  list[int]:
				lowerCamelCase	 =[-1] * len(_UpperCamelCase				)

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

				return []












from typing import TYPE_CHECKING

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


UpperCAmelCase__						:			List[Any]									={'''configuration_yolos''': ['''YOLOS_PRETRAINED_CONFIG_ARCHIVE_MAP''', '''YolosConfig''', '''YolosOnnxConfig''']}

try:
							if not is_vision_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							UpperCAmelCase__						:			Dict									=['''YolosFeatureExtractor''']
							UpperCAmelCase__						:			List[Any]									=['''YolosImageProcessor''']

try:
							if not is_torch_available():
														raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
							pass
else:
							UpperCAmelCase__						:			Optional[Any]									=[
							    '''YOLOS_PRETRAINED_MODEL_ARCHIVE_LIST''',
							    '''YolosForObjectDetection''',
							    '''YolosModel''',
							    '''YolosPreTrainedModel''',
							]


if TYPE_CHECKING:
							from .configuration_yolos import YOLOS_PRETRAINED_CONFIG_ARCHIVE_MAP, YolosConfig, YolosOnnxConfig

							try:
														if not is_vision_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .feature_extraction_yolos import YolosFeatureExtractor
														from .image_processing_yolos import YolosImageProcessor

							try:
														if not is_torch_available():
																					raise OptionalDependencyNotAvailable()
							except OptionalDependencyNotAvailable:
														pass
							else:
														from .modeling_yolos import (
														    YOLOS_PRETRAINED_MODEL_ARCHIVE_LIST,
														    YolosForObjectDetection,
														    YolosModel,
														    YolosPreTrainedModel,
														)


else:
							import sys

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





