


"""simple docstring"""







import unittest

import numpy as np
import torch

from diffusers import VersatileDiffusionImageVariationPipeline
from diffusers.utils.testing_utils import load_image, require_torch_gpu, slow, torch_device


__lowercase    =				False






class 						_A  (  unittest.TestCase  ):







    """simple docstring"""




    pass






@slow
@require_torch_gpu
class 						_A  (  unittest.TestCase  ):







    """simple docstring"""




    def      __snake_case							( self    :   Optional[Any]):
      a						:		Union[str, Any]											=      VersatileDiffusionImageVariationPipeline.from_pretrained("shi-labs/versatile-diffusion")
      pipe.to(SCREAMING_SNAKE_CASE_)
      pipe.set_progress_bar_config(disable=SCREAMING_SNAKE_CASE_)

      a						:		Tuple											=      load_image(
          "https://huggingface.co/datasets/hf-internal-testing/diffusers-images/resolve/main/versatile_diffusion/benz.jpg")
      a						:		Optional[Any]											=      torch.manual_seed(0)
      a						:		Tuple											=      pipe(
          image=SCREAMING_SNAKE_CASE_    ,			generator=SCREAMING_SNAKE_CASE_    ,			guidance_scale=7.5    ,			num_inference_steps=50    ,			output_type="numpy"    ,			).images

      a						:		Optional[int]											=      image[0, 253:256, 253:256, -1]

      assert image.shape == (1, 512, 512, 3)
      a						:		Dict											=      np.array([0.0_441, 0.0_469, 0.0_507, 0.0_575, 0.0_632, 0.0_650, 0.0_865, 0.0_909, 0.0_945])

      assert np.abs(image_slice.flatten() - expected_slice).max() < 1e-2










"""simple docstring"""







from math import ceil, sqrt


def 					lowercase      (    A_ = 1_000_000	)->				int:
  '''simple docstring'''







  a						:		Tuple											=      0

  for outer_width in range(3  ,       (limit // 4) + 2	):
    if outer_width**2 > limit:
      a						:		str											=      max(ceil(sqrt(outer_width**2 - limit	)	)  ,       1	)
    else:
      a						:		Tuple											=      1
    if (outer_width - hole_width_lower_bound) % 2:
      hole_width_lower_bound += 1

    answer += (outer_width - hole_width_lower_bound - 2) // 2 + 1

  return answer


if __name__ == "__main__":
 print(f'''{solution() = }''')






