


from typing import List, Optional, Union

import numpy as np
import PIL
import torch
from PIL import Image

from ...models import UNetaDConditionModel, VQModel
from ...pipelines import DiffusionPipeline
from ...pipelines.pipeline_utils import ImagePipelineOutput
from ...schedulers import DDPMScheduler
from ...utils import (
    is_accelerate_available,
    is_accelerate_version,
    logging,
    randn_tensor,
    replace_example_docstring,
)


UpperCAmelCase			=    logging.get_logger(__name__)  # pylint: disable=invalid-name

UpperCAmelCase			=    """
    Examples:
        ```py
        >>> import torch
        >>> import numpy as np

        >>> from diffusers import KandinskyV22PriorEmb2EmbPipeline, KandinskyV22ControlnetImg2ImgPipeline
        >>> from transformers import pipeline
        >>> from diffusers.utils import load_image


        >>> def make_hint(image, depth_estimator):
        ...     image = depth_estimator(image)[\"depth\"]
        ...     image = np.array(image)
        ...     image = image[:, :, None]
        ...     image = np.concatenate([image, image, image], axis=2)
        ...     detected_map = torch.from_numpy(image).float() / 255.0
        ...     hint = detected_map.permute(2, 0, 1)
        ...     return hint


        >>> depth_estimator = pipeline(\"depth-estimation\")

        >>> pipe_prior = KandinskyV22PriorEmb2EmbPipeline.from_pretrained(
        ...     \"kandinsky-community/kandinsky-2-2-prior\", torch_dtype=torch.float16
        ... )
        >>> pipe_prior = pipe_prior.to(\"cuda\")

        >>> pipe = KandinskyV22ControlnetImg2ImgPipeline.from_pretrained(
        ...     \"kandinsky-community/kandinsky-2-2-controlnet-depth\", torch_dtype=torch.float16
        ... )
        >>> pipe = pipe.to(\"cuda\")

        >>> img = load_image(
        ...     \"https://huggingface.co/datasets/hf-internal-testing/diffusers-images/resolve/main\"
        ...     \"/kandinsky/cat.png\"
        ... ).resize((768, 768))


        >>> hint = make_hint(img, depth_estimator).unsqueeze(0).half().to(\"cuda\")

        >>> prompt = \"A robot, 4k photo\"
        >>> negative_prior_prompt = \"lowres, text, error, cropped, worst quality, low quality, jpeg artifacts, ugly, duplicate, morbid, mutilated, out of frame, extra fingers, mutated hands, poorly drawn hands, poorly drawn face, mutation, deformed, blurry, dehydrated, bad anatomy, bad proportions, extra limbs, cloned face, disfigured, gross proportions, malformed limbs, missing arms, missing legs, extra arms, extra legs, fused fingers, too many fingers, long neck, username, watermark, signature\"

        >>> generator = torch.Generator(device=\"cuda\").manual_seed(43)

        >>> img_emb = pipe_prior(prompt=prompt, image=img, strength=0.85, generator=generator)
        >>> negative_emb = pipe_prior(prompt=negative_prior_prompt, image=img, strength=1, generator=generator)

        >>> images = pipe(
        ...     image=img,
        ...     strength=0.5,
        ...     image_embeds=img_emb.image_embeds,
        ...     negative_image_embeds=negative_emb.image_embeds,
        ...     hint=hint,
        ...     num_inference_steps=50,
        ...     generator=generator,
        ...     height=768,
        ...     width=768,
        ... ).images

        >>> images[0].save(\"robot_cat.png\")
        ```
"""






def        __lowerCAmelCase    (SCREAMING_SNAKE_CASE					,					SCREAMING_SNAKE_CASE					,					SCREAMING_SNAKE_CASE=8					)->  Optional[Any]:




      """simple docstring"""

      snake_case_       =      height // scale_factor**2
      if height % scale_factor**2 != 0:
            new_height += 1
      snake_case_       =      width // scale_factor**2
      if width % scale_factor**2 != 0:
            new_width += 1
      return new_height * scale_factor, new_width * scale_factor






def        __lowerCAmelCase    (SCREAMING_SNAKE_CASE					,					SCREAMING_SNAKE_CASE=512					,					SCREAMING_SNAKE_CASE=512					)->  int:




      """simple docstring"""

      snake_case_       =      pil_image.resize((w, h)					,					resample=Image.BICUBIC					,					reducing_gap=1					)
      snake_case_       =      np.array(pil_image.convert('''RGB'''					)					)
      snake_case_       =      arr.astype(np.floataa					) / 1_2_7.5 - 1
      snake_case_       =      np.transpose(SCREAMING_SNAKE_CASE					,					[2, 0, 1]					)
      snake_case_       =      torch.from_numpy(SCREAMING_SNAKE_CASE					).unsqueeze(0					)
      return image







class lowerCAmelCase_						( lowerCamelCase__       ):

 '''simple docstring'''

 def __init__(	self		,      _UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase		,      ):
       super().__init__()

       self.register_modules(
           unet=_UpperCAmelCase		,      scheduler=_UpperCAmelCase		,      movq=_UpperCAmelCase		,      )
       snake_case_       =      2 ** (len(self.movq.config.block_out_channels					) - 1)



 def 						UpperCamelCase__     (	self		,      _UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase					):
       # get the original timestep using init_timestep
       snake_case_       =      min(int(num_inference_steps * strength					)		,      _UpperCAmelCase					)

       snake_case_       =      max(num_inference_steps - init_timestep		,      0					)
       snake_case_       =      self.scheduler.timesteps[t_start:]

       return timesteps, num_inference_steps - t_start



 def 						UpperCamelCase__     (	self		,      _UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase=None					):
       if not isinstance(_UpperCAmelCase		,      (torch.Tensor, PIL.Image.Image, list)					):
             raise ValueError(
                 F'''`image` has to be of type `torch.Tensor`, `PIL.Image.Image` or list but is {type(_UpperCAmelCase					)}'''					)

       snake_case_       =      image.to(device=_UpperCAmelCase		,      dtype=_UpperCAmelCase					)

       snake_case_       =      batch_size * num_images_per_prompt

       if image.shape[1] == 4:
             snake_case_       =      image

       else:
             if isinstance(_UpperCAmelCase		,      _UpperCAmelCase					) and len(_UpperCAmelCase					) != batch_size:
                   raise ValueError(
                       F'''You have passed a list of generators of length {len(_UpperCAmelCase					)}, but requested an effective batch'''
                       F''' size of {batch_size}. Make sure the batch size matches the length of the generators.'''					)

             elif isinstance(_UpperCAmelCase		,      _UpperCAmelCase					):
                   snake_case_       =      [
                       self.movq.encode(image[i : i + 1]					).latent_dist.sample(generator[i]					) for i in range(_UpperCAmelCase					)
                   ]
                   snake_case_       =      torch.cat(_UpperCAmelCase		,      dim=0					)
             else:
                   snake_case_       =      self.movq.encode(_UpperCAmelCase					).latent_dist.sample(_UpperCAmelCase					)

             snake_case_       =      self.movq.config.scaling_factor * init_latents

       snake_case_       =      torch.cat([init_latents]		,      dim=0					)

       snake_case_       =      init_latents.shape
       snake_case_       =      randn_tensor(_UpperCAmelCase		,      generator=_UpperCAmelCase		,      device=_UpperCAmelCase		,      dtype=_UpperCAmelCase					)

       # get latents
       snake_case_       =      self.scheduler.add_noise(_UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase					)

       snake_case_       =      init_latents

       return latents



 def 						UpperCamelCase__     (	self		,      _UpperCAmelCase=0					):
       if is_accelerate_available():
             from accelerate import cpu_offload
       else:
             raise ImportError('''Please install accelerate via `pip install accelerate`'''					)

       snake_case_       =      torch.device(F'''cuda:{gpu_id}'''					)

       snake_case_       =      [
           self.unet,
           self.movq,
       ]
       for cpu_offloaded_model in models:
             if cpu_offloaded_model is not None:
                   cpu_offload(_UpperCAmelCase		,      _UpperCAmelCase					)



 def 						UpperCamelCase__     (	self		,      _UpperCAmelCase=0					):
       if is_accelerate_available() and is_accelerate_version('''>='''		,      '''0.17.0.dev0'''					):
             from accelerate import cpu_offload_with_hook
       else:
             raise ImportError('''`enable_model_cpu_offload` requires `accelerate v0.17.0` or higher.'''					)

       snake_case_       =      torch.device(F'''cuda:{gpu_id}'''					)

       if self.device.type != "cpu":
             self.to('''cpu'''		,      silence_dtype_warnings=_UpperCAmelCase					)
             torch.cuda.empty_cache()  # otherwise we don't see the memory savings (but they probably exist)

       snake_case_       =      None
       for cpu_offloaded_model in [self.unet, self.movq]:
             snake_case_       ,    snake_case_       =      cpu_offload_with_hook(_UpperCAmelCase		,      _UpperCAmelCase		,      prev_module_hook=_UpperCAmelCase					)

       # We'll offload the last model manually.
       snake_case_       =      hook



 @property
 # Copied from diffusers.pipelines.stable_diffusion.pipeline_stable_diffusion.StableDiffusionPipeline._execution_device
 def 						UpperCamelCase__     (	self					):
       if not hasattr(self.unet		,      '''_hf_hook'''					):
             return self.device
       for module in self.unet.modules():
             if (
                 hasattr(_UpperCAmelCase		,      '''_hf_hook'''					)
                 and hasattr(module._hf_hook		,      '''execution_device'''					)
                 and module._hf_hook.execution_device is not None
             ):
                   return torch.device(module._hf_hook.execution_device					)
       return self.device





 @torch.no_grad()
 @replace_example_docstring(_UpperCAmelCase					)
 def __call__(	self		,      _UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase = 5_12		,      _UpperCAmelCase = 5_12		,      _UpperCAmelCase = 1_00		,      _UpperCAmelCase = 4.0		,      _UpperCAmelCase = 0.3		,      _UpperCAmelCase = 1		,      _UpperCAmelCase = None		,      _UpperCAmelCase = "pil"		,      _UpperCAmelCase = True		,      ):
       snake_case_       =      self._execution_device

       snake_case_       =      guidance_scale > 1.0

       if isinstance(_UpperCAmelCase		,      _UpperCAmelCase					):
             snake_case_       =      torch.cat(_UpperCAmelCase		,      dim=0					)
       if isinstance(_UpperCAmelCase		,      _UpperCAmelCase					):
             snake_case_       =      torch.cat(_UpperCAmelCase		,      dim=0					)
       if isinstance(_UpperCAmelCase		,      _UpperCAmelCase					):
             snake_case_       =      torch.cat(_UpperCAmelCase		,      dim=0					)

       snake_case_       =      image_embeds.shape[0]

       if do_classifier_free_guidance:
             snake_case_       =      image_embeds.repeat_interleave(_UpperCAmelCase		,      dim=0					)
             snake_case_       =      negative_image_embeds.repeat_interleave(_UpperCAmelCase		,      dim=0					)
             snake_case_       =      hint.repeat_interleave(_UpperCAmelCase		,      dim=0					)

       snake_case_       =      torch.cat([negative_image_embeds, image_embeds]		,      dim=0					).to(dtype=self.unet.dtype		,      device=_UpperCAmelCase					)
       snake_case_       =      torch.cat([hint, hint]		,      dim=0					).to(dtype=self.unet.dtype		,      device=_UpperCAmelCase					)

       if not isinstance(_UpperCAmelCase		,      _UpperCAmelCase					):
             snake_case_       =      [image]
       if not all(isinstance(_UpperCAmelCase		,      (PIL.Image.Image, torch.Tensor)					) for i in image					):
             raise ValueError(
                 F'''Input is in incorrect format: {[type(_UpperCAmelCase					) for i in image]}. Currently, we only support  PIL image and pytorch tensor'''					)

       snake_case_       =      torch.cat([prepare_image(_UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase					) for i in image]		,      dim=0					)
       snake_case_       =      image.to(dtype=image_embeds.dtype		,      device=_UpperCAmelCase					)

       snake_case_       =      self.movq.encode(_UpperCAmelCase					)['''latents''']
       snake_case_       =      latents.repeat_interleave(_UpperCAmelCase		,      dim=0					)
       self.scheduler.set_timesteps(_UpperCAmelCase		,      device=_UpperCAmelCase					)
       snake_case_       ,    snake_case_       =      self.get_timesteps(_UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase					)
       snake_case_       =      timesteps[:1].repeat(batch_size * num_images_per_prompt					)
       snake_case_       ,    snake_case_       =      downscale_height_and_width(_UpperCAmelCase		,      _UpperCAmelCase		,      self.movq_scale_factor					)
       snake_case_       =      self.prepare_latents(
           _UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase		,      image_embeds.dtype		,      _UpperCAmelCase		,      _UpperCAmelCase					)
       for i, t in enumerate(self.progress_bar(_UpperCAmelCase					)					):
             # expand the latents if we are doing classifier free guidance
             snake_case_       =      torch.cat([latents] * 2					) if do_classifier_free_guidance else latents

             snake_case_       =      {'''image_embeds''': image_embeds, '''hint''': hint}
             snake_case_       =      self.unet(
                 sample=_UpperCAmelCase		,      timestep=_UpperCAmelCase		,      encoder_hidden_states=_UpperCAmelCase		,      added_cond_kwargs=_UpperCAmelCase		,      return_dict=_UpperCAmelCase		,      )[0]

             if do_classifier_free_guidance:
                   snake_case_       ,    snake_case_       =      noise_pred.split(latents.shape[1]		,      dim=1					)
                   snake_case_       ,    snake_case_       =      noise_pred.chunk(2					)
                   snake_case_       ,    snake_case_       =      variance_pred.chunk(2					)
                   snake_case_       =      noise_pred_uncond + guidance_scale * (noise_pred_text - noise_pred_uncond)
                   snake_case_       =      torch.cat([noise_pred, variance_pred_text]		,      dim=1					)

             if not (
                 hasattr(self.scheduler.config		,      '''variance_type'''					)
                 and self.scheduler.config.variance_type in ["learned", "learned_range"]
             ):
                   snake_case_       ,    snake_case_       =      noise_pred.split(latents.shape[1]		,      dim=1					)

             # compute the previous noisy sample x_t -> x_t-1

             snake_case_       =      self.scheduler.step(
                 _UpperCAmelCase		,      _UpperCAmelCase		,      _UpperCAmelCase		,      generator=_UpperCAmelCase		,      )[0]

       # post-processing
       snake_case_       =      self.movq.decode(_UpperCAmelCase		,      force_not_quantize=_UpperCAmelCase					)['''sample''']

       if output_type not in ["pt", "np", "pil"]:
             raise ValueError(F'''Only the output types `pt`, `pil` and `np` are supported not output_type={output_type}'''					)

       if output_type in ["np", "pil"]:
             snake_case_       =      image * 0.5 + 0.5
             snake_case_       =      image.clamp(0		,      1					)
             snake_case_       =      image.cpu().permute(0		,      2		,      3		,      1					).float().numpy()

       if output_type == "pil":
             snake_case_       =      self.numpy_to_pil(_UpperCAmelCase					)

       if not return_dict:
             return (image,)

       return ImagePipelineOutput(images=_UpperCAmelCase					)



UpperCAmelCase			=    10**8






def        __lowerCAmelCase    (SCREAMING_SNAKE_CASE					)->  bool:




      """simple docstring"""

      if n % 10 == 0:
            return False
      snake_case_       =      str(SCREAMING_SNAKE_CASE					)
      return s == s[::-1]






def        __lowerCAmelCase    ()->  int:




      """simple docstring"""

      snake_case_       =      set()
      snake_case_       =      1
      snake_case_       =      5
      while sum_squares < LIMIT:
            snake_case_       =      first_square + 1
            while sum_squares < LIMIT:
                  if is_palindrome(SCREAMING_SNAKE_CASE					):
                        answer.add(SCREAMING_SNAKE_CASE					)
                  last_square += 1
                  sum_squares += last_square**2
            first_square += 1
            snake_case_       =      first_square**2 + (first_square + 1) ** 2

      return sum(SCREAMING_SNAKE_CASE					)


if __name__ == "__main__":
   print(solution())