

from typing import List

import PIL
import torch
from PIL import Image

from ...configuration_utils import ConfigMixin
from ...models.modeling_utils import ModelMixin
from ...utils import PIL_INTERPOLATION







class 		__magic_name__     (				lowerCamelCase__						,			lowerCamelCase__				):

   '''simple docstring'''




   def __init__(							self			)				->       List[str]:






     """simple docstring"""






     super().__init__()

     self.register_buffer('''watermark_image''',       torch.zeros((62, 62, 4)			)			)
     a__    =None



   def 					_UpperCAmelCase					(							self,       lowercase_,       lowercase_=None			)				->       int:






     """simple docstring"""






     a__    =images[0].height
     a__    =images[0].width

     a__    =sample_size or h

     a__    =min(h / sample_size,       w / sample_size			)
     a__, a__    =(int(h / coef			), int(w / coef			)) if coef < 1 else (h, w)

     a__, a__    =1024**2, img_w * img_h
     a__    =(Sa / Sa) ** 0.5
     a__, a__, a__    =int(K * 62			), img_w - int(14 * K			), img_h - int(14 * K			)

     if self.watermark_image_as_pil is None:
       a__    =self.watermark_image.to(torch.uinta			).cpu().numpy()
       a__    =Image.fromarray(lowercase_,       mode='''RGBA'''			)
       a__    =watermark_image

     a__    =self.watermark_image_as_pil.resize(
         (wm_size, wm_size),       PIL_INTERPOLATION['''bicubic'''],       reducing_gap=lowercase_			)

     for pil_img in images:
       pil_img.paste(lowercase_,       box=(wm_x - wm_size, wm_y - wm_size, wm_x, wm_y),       mask=wm_img.split()[-1]			)

     return images



def      UpperCAmelCase__							(     _A :					int      , _A :					int				):





  '''simple docstring'''







  a__    =1.0
  for i in range(1      , r + 1				):
    ret *= (n + 1 - i) / i
  return round(_A				)




def      UpperCAmelCase__							(     _A :					int				):





  '''simple docstring'''







  return choose(8 + n      , _A				) + choose(9 + n      , _A				) - 10




def      UpperCAmelCase__							(     _A :					int				):





  '''simple docstring'''







  return sum(non_bouncy_exact(_A				) for i in range(1      , n + 1				)				)




def      UpperCAmelCase__							(     _A :					int = 1_00				):





  '''simple docstring'''







  return non_bouncy_upto(_A				)


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