





"""simple docstring"""
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    _UpperCAmelCase  (      lowerCamelCase__	,				lowerCamelCase__					):


					def __init__(   self     :List[Any]						):
												super().__init__()

												self.register_buffer("watermark_image"	,			torch.zeros((62, 62, 4)						)						)
												A						=    None


					def       lowerCamelCase			(   self     :str	,			__UpperCamelCase     :Optional[int]	,			__UpperCamelCase     :Optional[Any]=None						):
												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						=    10_24**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() = }""")
