


import random





def   _UpperCAmelCase       (     UpperCAmelCase      :			int      ):
      """simple docstring"""




      __lowerCamelCase     :      Tuple       						=						num - 1
      __lowerCamelCase     :      Union[str, Any]       						=						0

      while s % 2 == 0:
            __lowerCamelCase     :      int       						=						s // 2
            t += 1

      for _ in range(5      ):
            __lowerCamelCase     :      Dict       						=						random.randrange(2						,	num - 1      )
            __lowerCamelCase     :      Dict       						=						pow(UpperCAmelCase						,	UpperCAmelCase						,	UpperCAmelCase      )
            if v != 1:
                  __lowerCamelCase     :      Union[str, Any]       						=						0
                  while v != (num - 1):
                        if i == t - 1:
                              return False
                        else:
                              __lowerCamelCase     :      Optional[int]       						=						i + 1
                              __lowerCamelCase     :      int       						=						(v**2) % num
      return True





def   _UpperCAmelCase       (     UpperCAmelCase      :			int      ):
      """simple docstring"""




      if num < 2:
            return False

      __lowerCamelCase     :      Union[str, Any]       						=						[
          2,
          3,
          5,
          7,
          11,
          13,
          17,
          19,
          23,
          29,
          31,
          37,
          41,
          43,
          47,
          53,
          59,
          61,
          67,
          71,
          73,
          79,
          83,
          89,
          97,
          101,
          103,
          107,
          109,
          113,
          127,
          131,
          137,
          139,
          149,
          151,
          157,
          163,
          167,
          173,
          179,
          181,
          191,
          193,
          197,
          199,
          211,
          223,
          227,
          229,
          233,
          239,
          241,
          251,
          257,
          263,
          269,
          271,
          277,
          281,
          283,
          293,
          307,
          311,
          313,
          317,
          331,
          337,
          347,
          349,
          353,
          359,
          367,
          373,
          379,
          383,
          389,
          397,
          401,
          409,
          419,
          421,
          431,
          433,
          439,
          443,
          449,
          457,
          461,
          463,
          467,
          479,
          487,
          491,
          499,
          503,
          509,
          521,
          523,
          541,
          547,
          557,
          563,
          569,
          571,
          577,
          587,
          593,
          599,
          601,
          607,
          613,
          617,
          619,
          631,
          641,
          643,
          647,
          653,
          659,
          661,
          673,
          677,
          683,
          691,
          701,
          709,
          719,
          727,
          733,
          739,
          743,
          751,
          757,
          761,
          769,
          773,
          787,
          797,
          809,
          811,
          821,
          823,
          827,
          829,
          839,
          853,
          857,
          859,
          863,
          877,
          881,
          883,
          887,
          907,
          911,
          919,
          929,
          937,
          941,
          947,
          953,
          967,
          971,
          977,
          983,
          991,
          997,
      ]

      if num in low_primes:
            return True

      for prime in low_primes:
            if (num % prime) == 0:
                  return False

      return rabin_miller(UpperCAmelCase      )





def   _UpperCAmelCase       (     UpperCAmelCase      :			int = 1_024      ):
      """simple docstring"""




      while True:
            __lowerCamelCase     :      int       						=						random.randrange(2 ** (keysize - 1)						,	2 ** (keysize)      )
            if is_prime_low_num(UpperCAmelCase      ):
                  return num


if __name__ == "__main__":
    __UpperCamelCase    :						Union[str, Any]     =							generate_large_prime()
    print(('Prime number:', num))
    print(('is_prime_low_num:', is_prime_low_num(num)))







from typing import TYPE_CHECKING

from ...utils import OptionalDependencyNotAvailable, _LazyModule, is_torch_available


__UpperCamelCase    :						Optional[Any]     =							{
    'configuration_swinv2': ['SWINV2_PRETRAINED_CONFIG_ARCHIVE_MAP', 'Swinv2Config'],
}


try:
    if not is_torch_available():
        raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
    pass
else:
    __UpperCamelCase    :						List[Any]     =							[
        'SWINV2_PRETRAINED_MODEL_ARCHIVE_LIST',
        'Swinv2ForImageClassification',
        'Swinv2ForMaskedImageModeling',
        'Swinv2Model',
        'Swinv2PreTrainedModel',
    ]


if TYPE_CHECKING:
    from .configuration_swinva import SWINV2_PRETRAINED_CONFIG_ARCHIVE_MAP, SwinvaConfig

    try:
        if not is_torch_available():
            raise OptionalDependencyNotAvailable()
    except OptionalDependencyNotAvailable:
        pass
    else:
        from .modeling_swinva import (
            SWINV2_PRETRAINED_MODEL_ARCHIVE_LIST,
            SwinvaForImageClassification,
            SwinvaForMaskedImageModeling,
            SwinvaModel,
            SwinvaPreTrainedModel,
        )


else:
    import sys

    __UpperCamelCase    :						List[Any]     =							_LazyModule(__name__, globals()['__file__'], _import_structure, module_spec=__spec__)



