

def 	A       (     snake_case__		,				snake_case__		,				snake_case__    ):




			'''simple docstring'''


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

def 	A       (     snake_case__		,				snake_case__		,				snake_case__		,				snake_case__    ):




			'''simple docstring'''


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




def 	A       (     snake_case__		,				snake_case__    ):




			'''simple docstring'''


			SCREAMING_SNAKE_CASE__								=      [-1] * len(snake_case__    )

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

			return []





"""simple docstring"""




def 	A       (     snake_case__    ):




			'''simple docstring'''


			if not nums:  # Makes sure that the list is not empty
						raise ValueError("""List is empty"""    )

			SCREAMING_SNAKE_CASE__								=      sum(snake_case__    ) / len(snake_case__    )  # Calculate the average
			return sum(abs(x - average    ) for x in nums    ) / len(snake_case__    )


if __name__ == "__main__":
						import doctest

						doctest.testmod()


