






import random


def 				snake_case__							(							UpperCAmelCase							:  int       )     ->   Any:
    lowerCAmelCase__   :Optional[Any]      							=				num - 1
    lowerCAmelCase__   :Dict      							=				0

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

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


def 				snake_case__							(							UpperCAmelCase							:  int       )     ->   Any:
    if num < 2:
        return False

    lowerCAmelCase__   :Optional[int]      							=				[
        2,
        3,
        5,
        7,
        1_1,
        1_3,
        1_7,
        1_9,
        2_3,
        2_9,
        3_1,
        3_7,
        4_1,
        4_3,
        4_7,
        5_3,
        5_9,
        6_1,
        6_7,
        7_1,
        7_3,
        7_9,
        8_3,
        8_9,
        9_7,
        1_0_1,
        1_0_3,
        1_0_7,
        1_0_9,
        1_1_3,
        1_2_7,
        1_3_1,
        1_3_7,
        1_3_9,
        1_4_9,
        1_5_1,
        1_5_7,
        1_6_3,
        1_6_7,
        1_7_3,
        1_7_9,
        1_8_1,
        1_9_1,
        1_9_3,
        1_9_7,
        1_9_9,
        2_1_1,
        2_2_3,
        2_2_7,
        2_2_9,
        2_3_3,
        2_3_9,
        2_4_1,
        2_5_1,
        2_5_7,
        2_6_3,
        2_6_9,
        2_7_1,
        2_7_7,
        2_8_1,
        2_8_3,
        2_9_3,
        3_0_7,
        3_1_1,
        3_1_3,
        3_1_7,
        3_3_1,
        3_3_7,
        3_4_7,
        3_4_9,
        3_5_3,
        3_5_9,
        3_6_7,
        3_7_3,
        3_7_9,
        3_8_3,
        3_8_9,
        3_9_7,
        4_0_1,
        4_0_9,
        4_1_9,
        4_2_1,
        4_3_1,
        4_3_3,
        4_3_9,
        4_4_3,
        4_4_9,
        4_5_7,
        4_6_1,
        4_6_3,
        4_6_7,
        4_7_9,
        4_8_7,
        4_9_1,
        4_9_9,
        5_0_3,
        5_0_9,
        5_2_1,
        5_2_3,
        5_4_1,
        5_4_7,
        5_5_7,
        5_6_3,
        5_6_9,
        5_7_1,
        5_7_7,
        5_8_7,
        5_9_3,
        5_9_9,
        6_0_1,
        6_0_7,
        6_1_3,
        6_1_7,
        6_1_9,
        6_3_1,
        6_4_1,
        6_4_3,
        6_4_7,
        6_5_3,
        6_5_9,
        6_6_1,
        6_7_3,
        6_7_7,
        6_8_3,
        6_9_1,
        7_0_1,
        7_0_9,
        7_1_9,
        7_2_7,
        7_3_3,
        7_3_9,
        7_4_3,
        7_5_1,
        7_5_7,
        7_6_1,
        7_6_9,
        7_7_3,
        7_8_7,
        7_9_7,
        8_0_9,
        8_1_1,
        8_2_1,
        8_2_3,
        8_2_7,
        8_2_9,
        8_3_9,
        8_5_3,
        8_5_7,
        8_5_9,
        8_6_3,
        8_7_7,
        8_8_1,
        8_8_3,
        8_8_7,
        9_0_7,
        9_1_1,
        9_1_9,
        9_2_9,
        9_3_7,
        9_4_1,
        9_4_7,
        9_5_3,
        9_6_7,
        9_7_1,
        9_7_7,
        9_8_3,
        9_9_1,
        9_9_7,
    ]

    if num in low_primes:
        return True

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

    return rabin_miller(UpperCAmelCase       )


def 				snake_case__							(							UpperCAmelCase							:  int = 1_0_2_4       )     ->   int:
    while True:
        lowerCAmelCase__   :List[str]      							=				random.randrange(2 ** (keysize - 1)    ,			2 ** (keysize)       )
        if is_prime_low_num(UpperCAmelCase       ):
            return num


if __name__ == "__main__":
 _a    :   Dict        =			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


_a    :   str        =			{"""configuration_wavlm""": ["""WAVLM_PRETRAINED_CONFIG_ARCHIVE_MAP""", """WavLMConfig"""]}

try:
 if not is_torch_available():
  raise OptionalDependencyNotAvailable()
except OptionalDependencyNotAvailable:
 pass
else:
 _a    :   Optional[Any]        =			[
     """WAVLM_PRETRAINED_MODEL_ARCHIVE_LIST""",
     """WavLMForAudioFrameClassification""",
     """WavLMForCTC""",
     """WavLMForSequenceClassification""",
     """WavLMForXVector""",
     """WavLMModel""",
     """WavLMPreTrainedModel""",
 ]

if TYPE_CHECKING:
 from .configuration_wavlm import WAVLM_PRETRAINED_CONFIG_ARCHIVE_MAP, WavLMConfig

 try:
  if not is_torch_available():
   raise OptionalDependencyNotAvailable()
 except OptionalDependencyNotAvailable:
  pass
 else:
  from .modeling_wavlm import (
      WAVLM_PRETRAINED_MODEL_ARCHIVE_LIST,
      WavLMForAudioFrameClassification,
      WavLMForCTC,
      WavLMForSequenceClassification,
      WavLMForXVector,
      WavLMModel,
      WavLMPreTrainedModel,
  )

else:
 import sys

 _a    :   str        =			_LazyModule(__name__, globals()["""__file__"""], _import_structure, module_spec=__spec__)



