



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



def 	UpperCAmelCase   (						_lowerCamelCase ,    _lowerCamelCase ,    _lowerCamelCase ,    _lowerCamelCase    ):


			if index == len(lowerCamelCase__    ):
						return True

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






def 	UpperCAmelCase   (						_lowerCamelCase ,    _lowerCamelCase    ):
			A							:					Optional[Any]              =						[-1] * len(lowerCamelCase__    )

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

			return []




from collections import deque

from .hash_table import HashTable

class 	lowerCamelCase_    ( _A						):






						'''simple docstring'''







						def __init__(	self      :			Union[str, Any]	,	*__lowerCamelCase      :			Dict	,	**__lowerCamelCase      :			int )      ->				Optional[int]:
									super().__init__(*__lowerCamelCase	,	**__lowerCamelCase )







						def 			SCREAMING_SNAKE_CASE__		(	self      :			List[str]	,	__lowerCamelCase      :			List[str]	,	__lowerCamelCase      :			Union[str, Any] )      ->				Union[str, Any]:
									A							:					Optional[Any]              =						deque([] ) if self.values[key] is None else self.values[key]
									self.values[key].appendleft(__lowerCamelCase )
									A							:					Dict              =						self.values[key]







						def 			SCREAMING_SNAKE_CASE__		(	self      :			Any )      ->				str:
									return (
									    sum(self.charge_factor - len(__lowerCamelCase ) for slot in self.values )
									    / self.size_table
									    * self.charge_factor
									)







						def 			SCREAMING_SNAKE_CASE__		(	self      :			Optional[Any]	,	__lowerCamelCase      :			Any	,	__lowerCamelCase      :			List[Any]=None )      ->				Optional[int]:
									if not (
									    len(self.values[key] ) == self.charge_factor and self.values.count(__lowerCamelCase ) == 0
									):
												return key
									return super()._collision_resolution(__lowerCamelCase	,	__lowerCamelCase )