'''simple docstring'''


from __future__ import annotations

from PIL import Image

# Define glider example
snake_case__					:      str				      =  [
    [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
snake_case__					:      List[Any]				      =  [[0, 1, 0], [0, 1, 0], [0, 1, 0]]


def  _lowerCamelCase   (				lowerCamelCase_ :							list[list[int]]       ):



     """simple docstring"""





     UpperCAmelCase_							:       Tuple       =				[]
     for i in range(len(lowerCamelCase_       )       ):
          UpperCAmelCase_							:       List[Any]       =				[]
          for j in range(len(cells[i]       )       ):
               # Get the number of live neighbours
               UpperCAmelCase_							:       Optional[Any]       =				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(lowerCamelCase_       ) - 1 and j > 0:
                    neighbour_count += cells[i + 1][j - 1]
               if i < len(lowerCamelCase_       ) - 1:
                    neighbour_count += cells[i + 1][j]
               if i < len(lowerCamelCase_       ) - 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.
               UpperCAmelCase_							:       str       =				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(lowerCamelCase_       )
     return next_generation


def  _lowerCamelCase   (				lowerCamelCase_ :							list[list[int]]     ,					lowerCamelCase_ :							int       ):



     """simple docstring"""





     UpperCAmelCase_							:       int       =				[]
     for _ in range(lowerCamelCase_       ):
          # Create output image
          UpperCAmelCase_							:       List[Any]       =				Image.new('RGB'     ,					(len(cells[0]       ), len(lowerCamelCase_       ))       )
          UpperCAmelCase_							:       List[Any]       =				img.load()

          # Save cells to image
          for x in range(len(lowerCamelCase_       )       ):
               for y in range(len(cells[0]       )       ):
                    UpperCAmelCase_							:       Optional[int]       =				255 - cells[y][x] * 255
                    UpperCAmelCase_							:       Optional[int]       =				(colour, colour, colour)

        # Save image
          images.append(lowerCamelCase_       )
          UpperCAmelCase_							:       int       =				new_generation(lowerCamelCase_       )
     return images


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







'''simple docstring'''


from typing import Optional, Union

import torch
from torch import nn

from ...configuration_utils import ConfigMixin, register_to_config
from ...models.modeling_utils import ModelMixin






class 					__SCREAMING_SNAKE_CASE						(	lowerCamelCase_						,     lowerCamelCase_	):







  '''simple docstring'''






  @register_to_config
  def __init__(			self				,		snake_case_ = 7_6_8				,		):




       '''simple docstring'''

       super().__init__()

       UpperCAmelCase_							:       int       =				nn.Parameter(torch.zeros(1				,		snake_case_						)						)
       UpperCAmelCase_							:       str       =				nn.Parameter(torch.ones(1				,		snake_case_						)						)


  def _UpperCamelCase					(			self				,		snake_case_ = None				,		snake_case_ = None				,		):




       '''simple docstring'''

       UpperCAmelCase_							:       int       =				nn.Parameter(self.mean.to(snake_case_						).to(snake_case_						)						)
       UpperCAmelCase_							:       Tuple       =				nn.Parameter(self.std.to(snake_case_						).to(snake_case_						)						)
       return self


  def _UpperCamelCase					(			self				,		snake_case_						):




       '''simple docstring'''

       UpperCAmelCase_							:       Dict       =				(embeds - self.mean) * 1.0 / self.std
       return embeds






  def _UpperCamelCase					(			self				,		snake_case_						):




       '''simple docstring'''

       UpperCAmelCase_							:       List[Any]       =				(embeds * self.std) + self.mean
       return embeds






