


import random






def 		lowercase_(  SCREAMING_SNAKE_CASE_	):


  '''simple docstring'''

  lowerCamelCase :					Optional[Any]    =				num - 1
  lowerCamelCase :					str    =				0

  while s % 2 == 0:
    lowerCamelCase :					List[str]    =				s // 2
    t += 1

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






def 		lowercase_(  SCREAMING_SNAKE_CASE_	):


  '''simple docstring'''

  if num < 2:
    return False

  lowerCamelCase :					int    =				[
      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(SCREAMING_SNAKE_CASE_	)






def 		lowercase_(  SCREAMING_SNAKE_CASE_ = 1024	):


  '''simple docstring'''

  while True:
    lowerCamelCase :					Any    =				random.randrange(2 ** (keysize - 1)      ,						2 ** (keysize)	)
    if is_prime_low_num(SCREAMING_SNAKE_CASE_	):
      return num


if __name__ == "__main__":
   _snake_case             =     generate_large_prime()
   print(('''Prime number:''', num))
   print(('''is_prime_low_num:''', is_prime_low_num(num)))







import warnings

from ...utils import logging
from .image_processing_dpt import DPTImageProcessor


_snake_case             =     logging.get_logger(__name__)
class 	UpperCAmelCase_					(					UpperCamelCase    ):

   '''simple docstring'''




   def __init__(		self						,				*__A						,				**__A ):






     """simple docstring"""





     warnings.warn(
         "The class DPTFeatureExtractor is deprecated and will be removed in version 5 of Transformers. Please"
         " use DPTImageProcessor instead."						,				__A						,				)
     super().__init__(*__A						,				**__A )



