
from __future__ import annotations

from PIL import Image

# Define the first generation of cells
# fmt: off
lowercase__				:				List[Any]						=      [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1,
          0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]




def 						A_			(				snake_case				: int			)   ->     list[int]:



						'''simple docstring'''

						return [int(snake_case			) for c in f"{ruleset:08}"[:8]]




def 						A_			(				snake_case				: list[list[int]]			,   snake_case				: list[int]			,   snake_case				: int			)   ->     list[int]:



						'''simple docstring'''

						__UpperCamelCase  	=      len(cells[0]			)  # 31
						__UpperCamelCase  	=      []
						for i in range(snake_case			):
												# Get the neighbors of each cell
												# Handle neighbours outside bounds by using 0 as their value
												__UpperCamelCase  	=      0 if i == 0 else cells[time][i - 1]
												__UpperCamelCase  	=      0 if i == population - 1 else cells[time][i + 1]
												# Define a new cell and add it to the new generation
												__UpperCamelCase  	=      7 - int(f"{left_neighbor}{cells[time][i]}{right_neighbor}"			,   2			)
												next_generation.append(rule[situation]			)
						return next_generation




def 						A_			(				snake_case				: list[list[int]]			)   ->     Image.Image:



						'''simple docstring'''

						__UpperCamelCase  	=      Image.new('''RGB'''			,   (len(cells[0]			), len(snake_case			))			)
						__UpperCamelCase  	=      img.load()
						# Generates image
						for w in range(img.width			):
												for h in range(img.height			):
																		__UpperCamelCase  	=      255 - int(255 * cells[h][w]			)
																		__UpperCamelCase  	=      (color, color, color)
						return img


if __name__ == "__main__":
				lowercase__				:				Dict						=      bin(int(input("Rule:\n").strip()))[2:]
				lowercase__				:				Optional[int]						=      format_ruleset(int(rule_num))
				for time in range(1_6):
								CELLS.append(new_generation(CELLS, rule, time))
				lowercase__				:				Union[str, Any]						=      generate_image(CELLS)
				# Uncomment to save the image
				# img.save(f"rule_{rule_num}.png")
				img.show()






def 						A_			(				snake_case				: Union[str, Any]			,   snake_case				: Dict			)   ->     Dict:



						'''simple docstring'''

						__UpperCamelCase  	=      (boundary[1] - boundary[0]) / steps
						__UpperCamelCase  	=      boundary[0]
						__UpperCamelCase  	=      boundary[1]
						__UpperCamelCase  	=      make_points(snake_case			,   snake_case			,   snake_case			)
						__UpperCamelCase  	=      0.0
						y += (h / 3.0) * f(snake_case			)
						__UpperCamelCase  	=      2
						for i in x_i:
												y += (h / 3) * (4 - 2 * (cnt % 2)) * f(snake_case			)
												cnt += 1
						y += (h / 3.0) * f(snake_case			)
						return y




def 						A_			(				snake_case				: str			,   snake_case				: Optional[int]			,   snake_case				: Any			)   ->     Optional[int]:



						'''simple docstring'''

						__UpperCamelCase  	=      a + h
						while x < (b - h):
												yield x
												__UpperCamelCase  	=      x + h




def 						A_			(				snake_case				: Union[str, Any]			)   ->     str:  # enter your function here



						'''simple docstring'''

						__UpperCamelCase  	=      (x - 0) * (x - 0)
						return y




def 						A_			(				)   ->     Dict:



						'''simple docstring'''

						__UpperCamelCase  	=      0.0  # Lower bound of integration
						__UpperCamelCase  	=      1.0  # Upper bound of integration
						__UpperCamelCase  	=      10.0  # define number of steps or resolution
						__UpperCamelCase  	=      [a, b]  # define boundary of integration
						__UpperCamelCase  	=      method_a(snake_case			,   snake_case			)
						print(f"y = {y}"			)


if __name__ == "__main__":
				main()




