


'''simple docstring'''



from __future__ import annotations

from PIL import Image

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






def   lowerCamelCase							(_SCREAMING_SNAKE_CASE				:       list[list[int]]       ):
     __a      :	Dict    =  []
     for i in range(len(_SCREAMING_SNAKE_CASE       )       ):
          __a      :	List[Any]    =  []
          for j in range(len(cells[i]       )       ):
               # Get the number of live neighbours
               __a      :	Union[str, 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(_SCREAMING_SNAKE_CASE       ) - 1 and j > 0:
                    neighbour_count += cells[i + 1][j - 1]
               if i < len(_SCREAMING_SNAKE_CASE       ) - 1:
                    neighbour_count += cells[i + 1][j]
               if i < len(_SCREAMING_SNAKE_CASE       ) - 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      :	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(_SCREAMING_SNAKE_CASE       )
     return next_generation






def   lowerCamelCase							(_SCREAMING_SNAKE_CASE				:       list[list[int]]						,				_SCREAMING_SNAKE_CASE				:       int       ):
     __a      :	Any    =  []
     for _ in range(_SCREAMING_SNAKE_CASE       ):
          # Create output image
          __a      :	Optional[Any]    =  Image.new('RGB'						,				(len(cells[0]       ), len(_SCREAMING_SNAKE_CASE       ))       )
          __a      :	Any    =  img.load()

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

        # Save image
          images.append(_SCREAMING_SNAKE_CASE       )
          __a      :	str    =  new_generation(_SCREAMING_SNAKE_CASE       )
     return images


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







'''simple docstring'''



__lowercase     :						Optional[Any]	=     {'a': ['c', 'b'], 'b': ['d', 'e'], 'c': [], 'd': [], 'e': []}
__lowercase     :						List[str]	=     ['a', 'b', 'c', 'd', 'e']






def   lowerCamelCase							(_SCREAMING_SNAKE_CASE				:       List[Any]						,				_SCREAMING_SNAKE_CASE				:       Any						,				_SCREAMING_SNAKE_CASE				:       List[str]       ):
					__a      :	Any    =  start
					# add current to visited
					visited.append(_SCREAMING_SNAKE_CASE       )
					__a      :	Union[str, Any]    =  edges[current]
					for neighbor in neighbors:
										# if neighbor not in visited, visit
										if neighbor not in visited:
															__a      :	Dict    =  topological_sort(_SCREAMING_SNAKE_CASE						,				_SCREAMING_SNAKE_CASE						,				_SCREAMING_SNAKE_CASE       )
    # if all neighbors visited add current to sort
					sort.append(_SCREAMING_SNAKE_CASE       )
					# if all vertices haven't been visited select a new one to visit
					if len(_SCREAMING_SNAKE_CASE       ) != len(_SCREAMING_SNAKE_CASE       ):
										for vertice in vertices:
															if vertice not in visited:
																				__a      :	List[Any]    =  topological_sort(_SCREAMING_SNAKE_CASE						,				_SCREAMING_SNAKE_CASE						,				_SCREAMING_SNAKE_CASE       )
    # return sort
					return sort


if __name__ == "__main__":
	__lowercase     :						Union[str, Any]	=     topological_sort('a', [], [])
	print(sort)



