




from __future__ import annotations

from PIL import Image

# Define glider example
lowercase__				:      Any	   = [
    [0, 1, 0, 0, 0, 0, 0, 0],
    [0, 0, 1, 0, 0, 0, 0, 0],
    [1, 1, 1, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0, 0],
    [0, 0, 0, 0, 0, 0, 0, 0],
]

# Define blinker example
lowercase__				:      List[str]	   = [[0, 1, 0], [0, 1, 0], [0, 1, 0]]

def  SCREAMING_SNAKE_CASE							(       __UpperCamelCase)      ->					list[list[int]]:
     a     =				[]
     for i in range(len(__UpperCamelCase)):
          a     =				[]
          for j in range(len(cells[i])):
               # Get the number of live neighbours
               a     =				0
               if i > 0 and j > 0:
                    neighbour_count += cells[i - 1][j - 1]
               if i > 0:
                    neighbour_count += cells[i - 1][j]
               if i > 0 and j < len(cells[i]) - 1:
                    neighbour_count += cells[i - 1][j + 1]
               if j > 0:
                    neighbour_count += cells[i][j - 1]
               if j < len(cells[i]) - 1:
                    neighbour_count += cells[i][j + 1]
               if i < len(__UpperCamelCase) - 1 and j > 0:
                    neighbour_count += cells[i + 1][j - 1]
               if i < len(__UpperCamelCase) - 1:
                    neighbour_count += cells[i + 1][j]
               if i < len(__UpperCamelCase) - 1 and j < len(cells[i]) - 1:
                    neighbour_count += cells[i + 1][j + 1]

               # Rules of the game of life (excerpt from Wikipedia):
               # 1. Any live cell with two or three live neighbours survives.
               # 2. Any dead cell with three live neighbours becomes a live cell.
               # 3. All other live cells die in the next generation.
               #    Similarly, all other dead cells stay dead.
               a     =				cells[i][j] == 1
               if (
                   (alive and 2 <= neighbour_count <= 3)
                   or not alive
                   and neighbour_count == 3
               ):
                    next_generation_row.append(1)
               else:
                    next_generation_row.append(0)

          next_generation.append(__UpperCamelCase)
     return next_generation

def  SCREAMING_SNAKE_CASE							(       __UpperCamelCase		, __UpperCamelCase)      ->					list[Image.Image]:
     a     =				[]
     for _ in range(__UpperCamelCase):
          # Create output image
          a     =				Image.new("RGB"		, (len(cells[0]), len(__UpperCamelCase)))
          a     =				img.load()

          # Save cells to image
          for x in range(len(__UpperCamelCase)):
               for y in range(len(cells[0])):
                    a     =				2_55 - cells[y][x] * 2_55
                    a     =				(colour, colour, colour)

        # Save image
          images.append(__UpperCamelCase)
          a     =				new_generation(__UpperCamelCase)
     return images


if __name__ == "__main__":
   lowercase__				:      Dict	   = generate_images(GLIDER, 16)
   images[0].save("out.gif", save_all=True, append_images=images[1:])







from math import isqrt

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

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

          cube_index += 1
          prime_candidate += 6 * cube_index

     return primes_count


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

