'''simple docstring'''




import numpy as np
import torch
from imwatermark import WatermarkEncoder


# Copied from https://github.com/Stability-AI/generative-models/blob/613af104c6b85184091d42d374fef420eddb356d/scripts/demo/streamlit_helpers.py#L66
_A								=   0B1_0_1_1_0_0_1_1_1_1_1_0_1_1_0_0_1_0_0_1_0_0_0_0_0_1_1_1_1_0_1_1_1_0_1_1_0_0_0_1_1_0_0_1_1_1_1_0
# bin(x)[2:] gives bits of x as str, use int to convert them to 0/1
_A								=   [int(bit) for bit in bin(WATERMARK_MESSAGE)[2:]]


class       UpperCAmelCase__  :






   """simple docstring"""
   def __init__(self				)    ->     Union[str, Any]:
        lowercase_					:       Any     				=					WATERMARK_BITS
        lowercase_					:       List[str]     				=					WatermarkEncoder()

        self.encoder.set_watermark('bits'       ,				self.watermark				)





   def 		_lowerCamelCase (self       ,				_a				)    ->     Dict:
        # can't encode images that are smaller than 256
        if images.shape[-1] < 256:
             return images

        lowercase_					:       Union[str, Any]     				=					(255 * (images / 2 + 0.5)).cpu().permute(0       ,				2       ,				3       ,				1				).float().numpy()

        lowercase_					:       Optional[Any]     				=					[self.encoder.encode(_a       ,				'dwtDct'				) for image in images]

        lowercase_					:       List[Any]     				=					torch.from_numpy(np.array(_a				)				).permute(0       ,				3       ,				1       ,				2				)

        lowercase_					:       Optional[int]     				=					torch.clamp(2 * (images / 255 - 0.5)       ,				min=-1.0       ,				max=1.0				)
        return images





'''simple docstring'''




from decimal import Decimal, getcontext
from math import ceil, factorial

def _UpperCamelCase   (       SCREAMING_SNAKE_CASE_							):

     if not isinstance(SCREAMING_SNAKE_CASE_  ,       SCREAMING_SNAKE_CASE_							):
          raise TypeError('Undefined for non-integers'							)
     elif precision < 1:
          raise ValueError('Undefined for non-natural numbers'							)

     lowercase_					:       str     				=					precision
     lowercase_					:       List[str]     				=					ceil(precision / 14							)
     lowercase_					:       Union[str, Any]     				=					426_880 * Decimal(10_005							).sqrt()
     lowercase_					:       List[Any]     				=					1
     lowercase_					:       Optional[int]     				=					13_591_409
     lowercase_					:       Dict     				=					Decimal(SCREAMING_SNAKE_CASE_							)
     for k in range(1  ,       SCREAMING_SNAKE_CASE_							):
          lowercase_					:       List[str]     				=					factorial(6 * k							) // (factorial(3 * k							) * factorial(SCREAMING_SNAKE_CASE_							) ** 3)
          linear_term += 545_140_134
          exponential_term *= -262_537_412_640_768_000
          partial_sum += Decimal(multinomial_term * linear_term							) / exponential_term
     return str(constant_term / partial_sum							)[:-1]


if __name__ == "__main__":
 _A								=   5_0
 print(F"""The first {n} digits of pi is: {pi(n)}""")




