



def 	SCREAMING_SNAKE_CASE_							(	_snake_case	:list[int]	,   _snake_case	:list[int]	,   _snake_case	:int				)  ->     bool:
   return not any(
       neighbour == 1 and colored_vertices[i] == color
       for i, neighbour in enumerate(_snake_case				)				)

def 	SCREAMING_SNAKE_CASE_							(	_snake_case	:list[list[int]]	,   _snake_case	:int	,   _snake_case	:list[int]	,   _snake_case	:int				)  ->     bool:

   # 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
         _A      =       i
         # Validate coloring
         if util_color(_snake_case	,   _snake_case	,   _snake_case	,   index + 1				):
            return True
         # Backtrack
         _A      =       -1
   return False


def 	SCREAMING_SNAKE_CASE_							(	_snake_case	:list[list[int]]	,   _snake_case	:int				)  ->     list[int]:
   _A      =       [-1] * len(_snake_case				)

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

   return []










'''simple docstring'''




def 			_lowerCAmelCase     (    __snake_case    :					int					,				__snake_case    :					int					,				__snake_case    :					int     )	->	float:
     __A		:					Dict						=			(num_of_terms / 2) * (2 * first_term + (num_of_terms - 1) * common_diff)
     # formula for sum of series
     return total






def 			_lowerCAmelCase     (    )	->	Union[str, Any]:
     print(sum_of_series(1					,				1					,				10     )     )


if __name__ == "__main__":
  import doctest

  doctest.testmod()