





from math import isqrt



def  SCREAMING_SNAKE_CASE				(      snake_case							)		->    bool:
		return all(number % divisor != 0 for divisor in range(2						,   isqrt(snake_case							) + 1							)							)



def  SCREAMING_SNAKE_CASE				(      snake_case = 10**6							)		->    int:
		__lowercase											=     0
		__lowercase											=     1
		__lowercase											=     7
		while prime_candidate < max_prime:
				primes_count += is_prime(snake_case							)

				cube_index += 1
				prime_candidate += 6 * cube_index

		return primes_count


if __name__ == "__main__":
		print(F"""{solution() = }""")











def  SCREAMING_SNAKE_CASE				(      snake_case						,   snake_case						,   snake_case							)		->    bool:
		return not any(
		    neighbour == 1 and colored_vertices[i] == color
		    for i, neighbour in enumerate(snake_case							)							)



def  SCREAMING_SNAKE_CASE				(      snake_case						,   snake_case						,   snake_case						,   snake_case							)		->    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
						__lowercase											=     i
						# Validate coloring
						if util_color(snake_case						,   snake_case						,   snake_case						,   index + 1							):
								return True
						# Backtrack
						__lowercase											=     -1
		return False



def  SCREAMING_SNAKE_CASE				(      snake_case						,   snake_case							)		->    list[int]:
		__lowercase											=     [-1] * len(snake_case							)

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

		return []




