



"""simple docstring"""
import random


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase							):







  '''simple docstring'''


  lowercase_								= num - 1
  lowercase_								= 0

  while s % 2 == 0:
    lowercase_								= s // 2
    t += 1

  for _ in range(5							):
    lowercase_								= random.randrange(2 ,  num - 1							)
    lowercase_								= pow(__A ,  __A ,  __A							)
    if v != 1:
      lowercase_								= 0
      while v != (num - 1):
        if i == t - 1:
          return False
        else:
          lowercase_								= i + 1
          lowercase_								= (v**2) % num
  return True


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase							):







  '''simple docstring'''


  if num < 2:
    return False

  lowercase_								= [
      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,
      1_01,
      1_03,
      1_07,
      1_09,
      1_13,
      1_27,
      1_31,
      1_37,
      1_39,
      1_49,
      1_51,
      1_57,
      1_63,
      1_67,
      1_73,
      1_79,
      1_81,
      1_91,
      1_93,
      1_97,
      1_99,
      2_11,
      2_23,
      2_27,
      2_29,
      2_33,
      2_39,
      2_41,
      2_51,
      2_57,
      2_63,
      2_69,
      2_71,
      2_77,
      2_81,
      2_83,
      2_93,
      3_07,
      3_11,
      3_13,
      3_17,
      3_31,
      3_37,
      3_47,
      3_49,
      3_53,
      3_59,
      3_67,
      3_73,
      3_79,
      3_83,
      3_89,
      3_97,
      4_01,
      4_09,
      4_19,
      4_21,
      4_31,
      4_33,
      4_39,
      4_43,
      4_49,
      4_57,
      4_61,
      4_63,
      4_67,
      4_79,
      4_87,
      4_91,
      4_99,
      5_03,
      5_09,
      5_21,
      5_23,
      5_41,
      5_47,
      5_57,
      5_63,
      5_69,
      5_71,
      5_77,
      5_87,
      5_93,
      5_99,
      6_01,
      6_07,
      6_13,
      6_17,
      6_19,
      6_31,
      6_41,
      6_43,
      6_47,
      6_53,
      6_59,
      6_61,
      6_73,
      6_77,
      6_83,
      6_91,
      7_01,
      7_09,
      7_19,
      7_27,
      7_33,
      7_39,
      7_43,
      7_51,
      7_57,
      7_61,
      7_69,
      7_73,
      7_87,
      7_97,
      8_09,
      8_11,
      8_21,
      8_23,
      8_27,
      8_29,
      8_39,
      8_53,
      8_57,
      8_59,
      8_63,
      8_77,
      8_81,
      8_83,
      8_87,
      9_07,
      9_11,
      9_19,
      9_29,
      9_37,
      9_41,
      9_47,
      9_53,
      9_67,
      9_71,
      9_77,
      9_83,
      9_91,
      9_97,
  ]

  if num in low_primes:
    return True

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

  return rabin_miller(__A							)


def 			_SCREAMING_SNAKE_CASE						(__lowerCAmelCase = 10_24							):







  '''simple docstring'''


  while True:
    lowercase_								= random.randrange(2 ** (keysize - 1) ,  2 ** (keysize)							)
    if is_prime_low_num(__A							):
      return num


if __name__ == "__main__":
       UpperCAmelCase						:		Dict			= generate_large_prime()
       print(("Prime number:", num))
       print(("is_prime_low_num:", is_prime_low_num(num)))






"""simple docstring"""
from ...configuration_utils import PretrainedConfig
from ...utils import logging


UpperCAmelCase						:		List[Any]			= logging.get_logger(__name__)

UpperCAmelCase						:		Optional[Any]			= {
    "alibaba-damo/mgp-str-base": "https://huggingface.co/alibaba-damo/mgp-str-base/resolve/main/config.json",
}


class    SCREAMING_SNAKE_CASE__ (							__UpperCAmelCase   ):
    lowercase__      =   "mgp-str"

    def __init__(				self			:				Optional[Any] ,  lowerCAmelCase_			:				Optional[Any]=[3_2, 1_2_8] ,  lowerCAmelCase_			:				Union[str, Any]=4 ,  lowerCAmelCase_			:				Dict=3 ,  lowerCAmelCase_			:				List[str]=2_7 ,  lowerCAmelCase_			:				str=3_8 ,  lowerCAmelCase_			:				Optional[int]=5_0_2_5_7 ,  lowerCAmelCase_			:				Any=3_0_5_2_2 ,  lowerCAmelCase_			:				str=7_6_8 ,  lowerCAmelCase_			:				Any=1_2 ,  lowerCAmelCase_			:				Optional[Any]=1_2 ,  lowerCAmelCase_			:				Tuple=4.0 ,  lowerCAmelCase_			:				str=True ,  lowerCAmelCase_			:				List[str]=False ,  lowerCAmelCase_			:				List[Any]=1E-5 ,  lowerCAmelCase_			:				Any=0.0 ,  lowerCAmelCase_			:				int=0.0 ,  lowerCAmelCase_			:				str=0.0 ,  lowerCAmelCase_			:				Dict=False ,  lowerCAmelCase_			:				List[str]=0.02 ,  **lowerCAmelCase_			:				str ,  ):







      """simple docstring"""







      super().__init__(**lowerCAmelCase_)

      lowercase_								= image_size
      lowercase_								= patch_size
      lowercase_								= num_channels
      lowercase_								= max_token_length
      lowercase_								= num_character_labels
      lowercase_								= num_bpe_labels
      lowercase_								= num_wordpiece_labels
      lowercase_								= hidden_size
      lowercase_								= num_hidden_layers
      lowercase_								= num_attention_heads
      lowercase_								= mlp_ratio
      lowercase_								= distilled
      lowercase_								= layer_norm_eps
      lowercase_								= drop_rate
      lowercase_								= qkv_bias
      lowercase_								= attn_drop_rate
      lowercase_								= drop_path_rate
      lowercase_								= output_aa_attentions
      lowercase_								= initializer_range

