


from __future__ import annotations

from PIL import Image

# Define glider example
lowerCAmelCase__      		= [
    [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
lowerCAmelCase__      		= [[0, 1, 0], [0, 1, 0], [0, 1, 0]]
def 							_UpperCAmelCase				(UpperCamelCase__     :  list[list[int]]						):
       _A      :       Tuple				    = []
       for i in range(len(UpperCamelCase__						)						):
              _A      :       Tuple				    = []
              for j in range(len(cells[i]						)						):
                     # Get the number of live neighbours
                     _A      :       Tuple				    = 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(UpperCamelCase__						) - 1 and j > 0:
                            neighbour_count += cells[i + 1][j - 1]
                     if i < len(UpperCamelCase__						) - 1:
                            neighbour_count += cells[i + 1][j]
                     if i < len(UpperCamelCase__						) - 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      :       List[Any]				    = 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(UpperCamelCase__						)
       return next_generation
def 							_UpperCAmelCase				(UpperCamelCase__     :  list[list[int]]				,							UpperCamelCase__     :  int						):
       _A      :       Union[str, Any]				    = []
       for _ in range(UpperCamelCase__						):
              # Create output image
              _A      :       Optional[int]				    = Image.new("RGB"				,							(len(cells[0]						), len(UpperCamelCase__						))						)
              _A      :       Optional[Any]				    = img.load()

              # Save cells to image
              for x in range(len(UpperCamelCase__						)						):
                     for y in range(len(cells[0]						)						):
                            _A      :       Dict				    = 255 - cells[y][x] * 255
                            _A      :       List[str]				    = (colour, colour, colour)

        # Save image
              images.append(UpperCamelCase__						)
              _A      :       List[Any]				    = new_generation(UpperCamelCase__						)
       return images


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




def 							_UpperCAmelCase				(UpperCamelCase__     :  Optional[Any]				,							UpperCamelCase__     :  Union[str, Any]						):
       # "extended trapezoidal rule"
       # int(f) = dx/2 * (f1 + 2f2 + ... + fn)
       _A      :       int				    = (boundary[1] - boundary[0]) / steps
       _A      :       Any				    = boundary[0]
       _A      :       List[Any]				    = boundary[1]
       _A      :       str				    = make_points(UpperCamelCase__				,							UpperCamelCase__				,							UpperCamelCase__						)
       _A      :       str				    = 0.0
       y += (h / 2.0) * f(UpperCamelCase__						)
       for i in x_i:
              # print(i)
              y += h * f(UpperCamelCase__						)
       y += (h / 2.0) * f(UpperCamelCase__						)
       return y
def 							_UpperCAmelCase				(UpperCamelCase__     :  List[str]				,							UpperCamelCase__     :  Optional[int]				,							UpperCamelCase__     :  Any						):
       _A      :       Optional[int]				    = a + h
       while x < (b - h):
              yield x
              _A      :       Dict				    = x + h
def 							_UpperCAmelCase				(UpperCamelCase__     :  Optional[int]						):  # enter your function here
       _A      :       Any				    = (x - 0) * (x - 0)
       return y
def 							_UpperCAmelCase				():
       _A      :       Optional[Any]				    = 0.0  # Lower bound of integration
       _A      :       Optional[int]				    = 1.0  # Upper bound of integration
       _A      :       List[Any]				    = 10.0  # define number of steps or resolution
       _A      :       Any				    = [a, b]  # define boundary of integration
       _A      :       Tuple				    = method_a(UpperCamelCase__				,							UpperCamelCase__						)
       print(f"y = {y}"						)


if __name__ == "__main__":
    main()
