
from __future__ import annotations

from PIL import Image

# Define glider example
A     :	Union[str, 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     :	Tuple    = [[0, 1, 0], [0, 1, 0], [0, 1, 0]]


def     __lowerCAmelCase			(			a__  )       ->  list[list[int]]:
				__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__						,    a__  )       ->  list[Image.Image]:
				__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										=    255 - cells[y][x] * 255
																__a										=    (colour, colour, colour)

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


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

def     __lowerCAmelCase			(			a__						,    a__  )       ->  float:

				def get_matched_characters(a__						,    a__  ) -> str:
								__a										=    []
								__a										=    min(len(_stra  )						,    len(_stra  )  ) // 2
								for i, l in enumerate(_stra  ):
												__a										=    int(max(0						,    i - limit  )  )
												__a										=    int(min(i + limit + 1						,    len(_stra  )  )  )
												if l in _stra[left:right]:
																matched.append(a__  )
																__a										=    F"""{_stra[0:_stra.index(a__  )]} {_stra[_stra.index(a__  ) + 1:]}"""

								return "".join(a__  )

				# matching characters
				__a										=    get_matched_characters(a__						,    a__  )
				__a										=    get_matched_characters(a__						,    a__  )
				__a										=    len(a__  )

				# transposition
				__a										=    (
				    len([(ca, ca) for ca, ca in zip(a__						,    a__  ) if ca != ca]  ) // 2
				)

				if not match_count:
								__a										=    0.0
				else:
								__a										=    (
								    1
								    / 3
								    * (
								        match_count / len(a__  )
								        + match_count / len(a__  )
								        + (match_count - transpositions) / match_count
								    )
								)

				# common prefix up to 4 characters
				__a										=    0
				for ca, ca in zip(stra[:4]						,    stra[:4]  ):
								if ca == ca:
												prefix_len += 1
								else:
												break

				return jaro + 0.1 * prefix_len * (1 - jaro)


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					print(jaro_winkler('hello', 'world'))