



'''simple docstring'''





import random

from .binary_exp_mod import bin_exp_mod




def 							lowerCamelCase	(					_snake_case	:    Tuple  ,_snake_case	:    Optional[Any]=1_000							):





    '''simple docstring'''


    if n < 2:
        return False

    if n % 2 == 0:
        return n == 2

    # this means n is odd
    lowercase__									=    n - 1
    lowercase__									=    0
    while d % 2 == 0:
        d /= 2
        exp += 1

    # n - 1=d*(2**exp)
    lowercase__									=    0
    while count < prec:
        lowercase__									=    random.randint(2  ,n - 1							)
        lowercase__									=    bin_exp_mod(_snake_case  ,_snake_case  ,_snake_case							)
        if b != 1:
            lowercase__									=    True
            for _ in range(_snake_case							):
                if b == n - 1:
                    lowercase__									=    False
                    break
                lowercase__									=    b * b
                b %= n
            if flag:
                return False
            count += 1
    return True


if __name__ == "__main__":
 SCREAMING_SNAKE_CASE__          =  abs(int(input("Enter bound : ").strip()))
 print("Here's the list of primes:")
 print(", ".join(str(i) for i in range(n + 1) if is_prime_big(i)))









'''simple docstring'''





from typing import Optional, Union

import torch
from torch import nn

from ...configuration_utils import ConfigMixin, register_to_config
from ...models.modeling_utils import ModelMixin


class 					snake_case			(UpperCamelCase		,   UpperCamelCase ):



       @register_to_config
       def __init__(					self  ,UpperCAmelCase_ = 768  ,)	->				List[Any]:
           super().__init__()

           lowercase__									=    nn.Parameter(torch.zeros(1  ,UpperCAmelCase_   )   )
           lowercase__									=    nn.Parameter(torch.ones(1  ,UpperCAmelCase_   )   )



       def 				_a   (					self  ,UpperCAmelCase_ = None  ,UpperCAmelCase_ = None  ,)	->				Any:
           lowercase__									=    nn.Parameter(self.mean.to(UpperCAmelCase_   ).to(UpperCAmelCase_   )   )
           lowercase__									=    nn.Parameter(self.std.to(UpperCAmelCase_   ).to(UpperCAmelCase_   )   )
           return self



       def 				_a   (					self  ,UpperCAmelCase_   )	->				Tuple:
           lowercase__									=    (embeds - self.mean) * 1.0 / self.std
           return embeds







       def 				_a   (					self  ,UpperCAmelCase_   )	->				List[str]:
           lowercase__									=    (embeds * self.std) + self.mean
           return embeds




