




def    A						(__A   :    list[int]   ,				__A   :    list[int]   ,				__A   :    int       )   ->      bool:







     """simple docstring"""


     return not any(
         neighbour == 1 and colored_vertices[i] == color
         for i, neighbour in enumerate(__A       )       )


def    A						(__A   :    list[list[int]]   ,				__A   :    int   ,				__A   :    list[int]   ,				__A   :    int       )   ->      bool:







     """simple docstring"""


     if index == len(__A       ):
          return True

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


def    A						(__A   :    list[list[int]]   ,				__A   :    int       )   ->      list[int]:







     """simple docstring"""


     UpperCAmelCase_          =							[-1] * len(__A       )

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

     return []










'''simple docstring'''



import unittest

from knapsack import knapsack as k





class    UpperCAmelCase_  (unittest.TestCase  ):





    """simple docstring"""






    def       lowercase_				(							self	)				->     Optional[Any]:
         __lowerCamelCase   :	int								=		0
         __lowerCamelCase   :	Union[str, Any]								=		[0]
         __lowerCamelCase   :	Any								=		[0]
         __lowerCamelCase   :	Union[str, Any]								=		len(SCREAMING_SNAKE_CASE_	)
         self.assertEqual(k.knapsack(SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_	)			,     0	)

         __lowerCamelCase   :	List[str]								=		[60]
         __lowerCamelCase   :	Union[str, Any]								=		[10]
         __lowerCamelCase   :	List[Any]								=		len(SCREAMING_SNAKE_CASE_	)
         self.assertEqual(k.knapsack(SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_	)			,     0	)







    def       lowercase_				(							self	)				->     List[str]:
         __lowerCamelCase   :	Optional[int]								=		3
         __lowerCamelCase   :	int								=		[1, 2, 3]
         __lowerCamelCase   :	str								=		[3, 2, 1]
         __lowerCamelCase   :	Union[str, Any]								=		len(SCREAMING_SNAKE_CASE_	)
         self.assertEqual(k.knapsack(SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_	)			,     5	)







    def       lowercase_				(							self	)				->     int:
         __lowerCamelCase   :	Optional[int]								=		50
         __lowerCamelCase   :	List[str]								=		[60, 1_00, 1_20]
         __lowerCamelCase   :	List[str]								=		[10, 20, 30]
         __lowerCamelCase   :	List[str]								=		len(SCREAMING_SNAKE_CASE_	)
         self.assertEqual(k.knapsack(SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_			,     SCREAMING_SNAKE_CASE_	)			,     2_20	)


if __name__ == "__main__":
      unittest.main()






