


"""simple docstring"""


from copy import deepcopy
class   _UpperCamelCase  :
							'''simple docstring'''







							def __init__(     self    ,   __a = None    ,   __a = None	):

										if arr is None and size is not None:
													__lowerCAmelCase				    =			size
													__lowerCAmelCase				    =			[0] * size
										elif arr is not None:
													self.init(__a	)
										else:
													raise ValueError("Either arr or size must be specified"	)

							def 			snake_case				(     self    ,   __a	):
										__lowerCAmelCase				    =			len(__a	)
										__lowerCAmelCase				    =			deepcopy(__a	)
										for i in range(1    ,   self.size	):
													__lowerCAmelCase				    =			self.next_(__a	)
													if j < self.size:
																self.tree[j] += self.tree[i]

							def 			snake_case				(     self	):
										__lowerCAmelCase				    =			self.tree[:]
										for i in range(self.size - 1    ,   0    ,   -1	):
													__lowerCAmelCase				    =			self.next_(__a	)
													if j < self.size:
																arr[j] -= arr[i]
										return arr

							@staticmethod
							def 			snake_case				(     __a	):
										return index + (index & (-index))

							@staticmethod
							def 			snake_case				(     __a	):
										return index - (index & (-index))

							def 			snake_case				(     self    ,   __a    ,   __a	):
										if index == 0:
													self.tree[0] += value
													return
										while index < self.size:
													self.tree[index] += value
													__lowerCAmelCase				    =			self.next_(__a	)

							def 			snake_case				(     self    ,   __a    ,   __a	):
										self.add(__a    ,   value - self.get(__a	)	)

							def 			snake_case				(     self    ,   __a	):
										if right == 0:
													return 0
										__lowerCAmelCase				    =			self.tree[0]
										right -= 1  # make right inclusive
										while right > 0:
													result += self.tree[right]
													__lowerCAmelCase				    =			self.prev(__a	)
										return result

							def 			snake_case				(     self    ,   __a    ,   __a	):
										return self.prefix(__a	) - self.prefix(__a	)

							def 			snake_case				(     self    ,   __a	):
										return self.query(__a    ,   index + 1	)



							def 			snake_case				(     self    ,   __a	):
										value -= self.tree[0]
										if value < 0:
													return -1

										__lowerCAmelCase				    =			1  # Largest power of 2 <= size
										while j * 2 < self.size:
													j *= 2

										__lowerCAmelCase				    =			0

										while j > 0:
													if i + j < self.size and self.tree[i + j] <= value:
																value -= self.tree[i + j]
																i += j
													j //= 2
										return i


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:])



