





"""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_			=      0B1011_0011_1110_1100_1001_0000_0111_1011_1011_0001_1001_1110
# 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 		__snake_case :





 """simple docstring"""


 def __init__(   self  ):



     '''simple docstring'''




     __A   :						str									=					WATERMARK_BITS
     __A   :						Optional[int]									=					WatermarkEncoder()

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







 def  UpperCamelCase__(   self ,						__lowerCamelCase  ):



     '''simple docstring'''




     if images.shape[-1] < 256:
         return images

     __A   :						Any									=					(255 * (images / 2 + 0.5)).cpu().permute(0 ,						2 ,						3 ,						1  ).float().numpy()

     __A   :						Any									=					[self.encoder.encode(__lowerCamelCase ,						'''dwtDct'''  ) for image in images]

     __A   :						Union[str, Any]									=					torch.from_numpy(np.array(__lowerCamelCase  )  ).permute(0 ,						3 ,						1 ,						2  )

     __A   :						Union[str, Any]									=					torch.clamp(2 * (images / 255 - 0.5) ,						min=-1.0 ,						max=1.0  )
     return images











"""simple docstring"""



import math
from collections.abc import Iterator
from itertools import takewhile







def 		__lowercase					(       snake_case_  :  int						)       ->bool:



    '''simple docstring'''







    if 1 < number < 4:
        # 2 and 3 are primes
        return True
    elif number < 2 or number % 2 == 0 or number % 3 == 0:
        # Negatives, 0, 1, all even numbers, all multiples of 3 are not primes
        return False

    # All primes number are in format of 6k +/- 1
    for i in range(5    ,int(math.sqrt(snake_case_						) + 1						)    ,6						):
        if number % i == 0 or number % (i + 2) == 0:
            return False
    return True







def 		__lowercase					(       )       ->Iterator[int]:



    '''simple docstring'''







    __A   :						int									=					2
    while True:
        if is_prime(snake_case_						):
            yield num
        num += 1







def 		__lowercase					(       snake_case_  :  int = 2000000						)       ->int:



    '''simple docstring'''







    return sum(takewhile(lambda snake_case_						: x < n    ,prime_generator()						)						)


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




