





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


def 							SCREAMING_SNAKE_CASE__						(    __a   , __a   , __a   , __a   ):

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

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


def 							SCREAMING_SNAKE_CASE__						(    __a   , __a   ):
	snake_case_		:			int											=	[-1] * len(_lowerCAmelCase   )

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

	return []








from ....utils import logging


_SCREAMING_SNAKE_CASE      	=		logging.get_logger(__name__)
class SCREAMING_SNAKE_CASE_						(					snake_case_					):






						def __init__(      self      :      str		,   _A      :      List[Any]		,   _A      :      List[Any]=None		,   _A      :      str=2048	)							->    Optional[int]:







							"""simple docstring"""


							snake_case_		:			Tuple											=	config.__dict__
							snake_case_		:			List[str]											=	modal_hidden_size
							if num_labels:
								snake_case_		:			int											=	num_labels

