






'''simple docstring'''







from __future__ import annotations

from PIL import Image

# Define glider example
UpperCamelCase     :   Optional[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
UpperCamelCase     :   Tuple	      =		[[0, 1, 0], [0, 1, 0], [0, 1, 0]]
def     A__      (					__lowerCAmelCase		:      list[list[int]]    ):
						lowerCamelCase__								=	[]
						for i in range(len(__lowerCAmelCase    )    ):
												lowerCamelCase__								=	[]
												for j in range(len(cells[i]    )    ):
																		# Get the number of live neighbours
																		lowerCamelCase__								=	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.
																		lowerCamelCase__								=	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     A__      (					__lowerCAmelCase		:      list[list[int]] ,     __lowerCAmelCase		:      int    ):
						lowerCamelCase__								=	[]
						for _ in range(__lowerCAmelCase    ):
												# Create output image
												lowerCamelCase__								=	Image.new("""RGB""" ,     (len(cells[0]    ), len(__lowerCAmelCase    ))    )
												lowerCamelCase__								=	img.load()

												# Save cells to image
												for x in range(len(__lowerCAmelCase    )    ):
																		for y in range(len(cells[0]    )    ):
																								lowerCamelCase__								=	255 - cells[y][x] * 255
																								lowerCamelCase__								=	(colour, colour, colour)

        # Save image
												images.append(__lowerCAmelCase    )
												lowerCamelCase__								=	new_generation(__lowerCAmelCase    )
						return images


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








from ..utils import (
    OptionalDependencyNotAvailable,
    is_flax_available,
    is_scipy_available,
    is_torch_available,
    is_torchsde_available,
)


try:
  if not is_torch_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  from ..utils.dummy_pt_objects import *  # noqa F403
else:
  from .scheduling_consistency_models import CMStochasticIterativeScheduler
  from .scheduling_ddim import DDIMScheduler
  from .scheduling_ddim_inverse import DDIMInverseScheduler
  from .scheduling_ddim_parallel import DDIMParallelScheduler
  from .scheduling_ddpm import DDPMScheduler
  from .scheduling_ddpm_parallel import DDPMParallelScheduler
  from .scheduling_deis_multistep import DEISMultistepScheduler
  from .scheduling_dpmsolver_multistep import DPMSolverMultistepScheduler
  from .scheduling_dpmsolver_multistep_inverse import DPMSolverMultistepInverseScheduler
  from .scheduling_dpmsolver_singlestep import DPMSolverSinglestepScheduler
  from .scheduling_euler_ancestral_discrete import EulerAncestralDiscreteScheduler
  from .scheduling_euler_discrete import EulerDiscreteScheduler
  from .scheduling_heun_discrete import HeunDiscreteScheduler
  from .scheduling_ipndm import IPNDMScheduler
  from .scheduling_k_dpm_2_ancestral_discrete import KDPMaAncestralDiscreteScheduler
  from .scheduling_k_dpm_2_discrete import KDPMaDiscreteScheduler
  from .scheduling_karras_ve import KarrasVeScheduler
  from .scheduling_pndm import PNDMScheduler
  from .scheduling_repaint import RePaintScheduler
  from .scheduling_sde_ve import ScoreSdeVeScheduler
  from .scheduling_sde_vp import ScoreSdeVpScheduler
  from .scheduling_unclip import UnCLIPScheduler
  from .scheduling_unipc_multistep import UniPCMultistepScheduler
  from .scheduling_utils import KarrasDiffusionSchedulers, SchedulerMixin
  from .scheduling_vq_diffusion import VQDiffusionScheduler

try:
  if not is_flax_available():
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  from ..utils.dummy_flax_objects import *  # noqa F403
else:
  from .scheduling_ddim_flax import FlaxDDIMScheduler
  from .scheduling_ddpm_flax import FlaxDDPMScheduler
  from .scheduling_dpmsolver_multistep_flax import FlaxDPMSolverMultistepScheduler
  from .scheduling_karras_ve_flax import FlaxKarrasVeScheduler
  from .scheduling_lms_discrete_flax import FlaxLMSDiscreteScheduler
  from .scheduling_pndm_flax import FlaxPNDMScheduler
  from .scheduling_sde_ve_flax import FlaxScoreSdeVeScheduler
  from .scheduling_utils_flax import (
      FlaxKarrasDiffusionSchedulers,
      FlaxSchedulerMixin,
      FlaxSchedulerOutput,
      broadcast_to_shape_from_left,
  )


try:
  if not (is_torch_available() and is_scipy_available()):
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  from ..utils.dummy_torch_and_scipy_objects import *  # noqa F403
else:
  from .scheduling_lms_discrete import LMSDiscreteScheduler

try:
  if not (is_torch_available() and is_torchsde_available()):
    raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
  from ..utils.dummy_torch_and_torchsde_objects import *  # noqa F403
else:
  from .scheduling_dpmsolver_sde import DPMSolverSDEScheduler
