




'''simple docstring'''






from random import randint, random

def 			__lowerCAmelCase					(    snake_case__					,      snake_case__					,      snake_case__					,      snake_case__ = False					,      snake_case__ = False					,      snake_case__ = 5					,      ):
			__UpperCamelCase      :			Optional[int]									=   [[-1] * number_of_cells]  # Create a highway without any car
			__UpperCamelCase      :			Optional[Any]									=   0
			__UpperCamelCase      :			int									=   max(__a					,      0						)
			while i < number_of_cells:
						__UpperCamelCase      :			Optional[int]									=   (
						    randint(0					,      __a						) if random_speed else initial_speed
						)  # Place the cars
						i += (
						    randint(1					,      max_speed * 2						) if random_frequency else frequency
						)  # Arbitrary number, may need tuning
			return highway

def 			__lowerCAmelCase					(    snake_case__					,      snake_case__						):
			__UpperCamelCase      :			int									=   0
			__UpperCamelCase      :			Tuple									=   highway_now[car_index + 1 :]
			for cell in range(len(__a						)						):  # May need a better name for this
						if cells[cell] != -1:  # If the cell is not empty then
									return distance  # we have the distance we wanted
						distance += 1
			# Here if the car is near the end of the highway
			return distance + get_distance(__a					,      -1						)

def 			__lowerCAmelCase					(    snake_case__					,      snake_case__					,      snake_case__						):
			__UpperCamelCase      :			Tuple									=   len(__a						)
			# Beforce calculations, the highway is empty
			__UpperCamelCase      :			List[Any]									=   [-1] * number_of_cells

			for car_index in range(__a						):
						if highway_now[car_index] != -1:
									# Add 1 to the current speed of the car and cap the speed
									__UpperCamelCase      :			Optional[int]									=   min(highway_now[car_index] + 1					,      __a						)
									# Number of empty cell before the next car
									__UpperCamelCase      :			Tuple									=   get_distance(__a					,      __a						) - 1
									# We can't have the car causing an accident
									__UpperCamelCase      :			List[str]									=   min(next_highway[car_index]					,      __a						)
									if random() < probability:
												# Randomly, a driver will slow down
												__UpperCamelCase      :			List[str]									=   max(next_highway[car_index] - 1					,      0						)
			return next_highway

def 			__lowerCAmelCase					(    snake_case__					,      snake_case__					,      snake_case__					,      snake_case__						):
			__UpperCamelCase      :			Union[str, Any]									=   len(highway[0]						)

			for i in range(__a						):
						__UpperCamelCase      :			Optional[int]									=   update(highway[i]					,      __a					,      __a						)
						__UpperCamelCase      :			List[str]									=   [-1] * number_of_cells

						for car_index in range(__a						):
									__UpperCamelCase      :			Optional[Any]									=   next_speeds_calculated[car_index]
									if speed != -1:
												# Change the position based on the speed (with % to create the loop)
												__UpperCamelCase      :			int									=   (car_index + speed) % number_of_cells
												# Commit the change of position
												__UpperCamelCase      :			List[str]									=   speed
						highway.append(__a						)

			return highway


if __name__ == "__main__":
				import doctest

				doctest.testmod()










from __future__ import annotations

from PIL import Image

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







def    __lowerCamelCase					(							__a   :list[list[int]]    )		->				list[list[int]]:






		"""simple docstring"""

		A__        =   []
		for i in range(len(__a    )    ):
				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(__a    ) - 1 and j > 0:
								neighbour_count += cells[i + 1][j - 1]
						if i < len(__a    ) - 1:
								neighbour_count += cells[i + 1][j]
						if i < len(__a    ) - 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(__a    )
		return next_generation







def    __lowerCamelCase					(							__a   :list[list[int]]    ,     __a   :int    )		->				list[Image.Image]:






		"""simple docstring"""

		A__        =   []
		for _ in range(__a    ):
				# Create output image
				A__        =   Image.new("""RGB"""    ,     (len(cells[0]    ), len(__a    ))    )
				A__        =   img.load()

				# Save cells to image
				for x in range(len(__a    )    ):
						for y in range(len(cells[0]    )    ):
								A__        =   2_5_5 - cells[y][x] * 2_5_5
								A__        =   (colour, colour, colour)

        # Save image
				images.append(__a    )
				A__        =   new_generation(__a    )
		return images


if __name__ == "__main__":
					A    :					str =      generate_images(GLIDER, 1_6)
					images[0].save('''out.gif''', save_all=True, append_images=images[1:])



