






import random







def 					SCREAMING_SNAKE_CASE    (			snake_case_ :							int       ):
							snake_case__			:				str       =  num - 1
							snake_case__			:				Tuple       =  0

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

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







def 					SCREAMING_SNAKE_CASE    (			snake_case_ :							int       ):
							if num < 2:
														return False

							snake_case__			:				Optional[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(snake_case_       )







def 					SCREAMING_SNAKE_CASE    (			snake_case_ :							int = 1024       ):
							while True:
														snake_case__			:				Tuple       =  random.randrange(2 ** (keysize - 1)					,  2 ** (keysize)       )
														if is_prime_low_num(snake_case_       ):
																					return num


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











import os

import pytest
from attr import dataclass


__lowerCamelCase :      Any										=				"""us-east-1"""  # defaults region



@dataclass
class 							SCREAMING_SNAKE_CASE__						:





					"""simple docstring"""






					a_     =		42
					a_     =		"arn:aws:iam::558105141721:role/sagemaker_execution_role"
					a_     =		{
					    "task_name": "mnli",
					    "per_device_train_batch_size": 1_6,
					    "per_device_eval_batch_size": 1_6,
					    "do_train": True,
					    "do_eval": True,
					    "do_predict": True,
					    "output_dir": "/opt/ml/model",
					    "overwrite_output_dir": True,
					    "max_steps": 5_0_0,
					    "save_steps": 5_5_0_0,
					}
					a_     =		{**hyperparameters, "max_steps": 1_0_0_0}



					@property
					def 	_lowercase					( self					:  List[Any]	):
						if self.framework == "pytorch":
							return [
							    {"Name": "train_runtime", "Regex": r"train_runtime.*=\D*(.*?)$"},
							    {"Name": "eval_accuracy", "Regex": r"eval_accuracy.*=\D*(.*?)$"},
							    {"Name": "eval_loss", "Regex": r"eval_loss.*=\D*(.*?)$"},
							]
						else:
							return [
							    {"Name": "train_runtime", "Regex": r"train_runtime.*=\D*(.*?)$"},
							    {"Name": "eval_accuracy", "Regex": r"loss.*=\D*(.*?)]?$"},
							    {"Name": "eval_loss", "Regex": r"sparse_categorical_accuracy.*=\D*(.*?)]?$"},
							]



					@property
					def 	_lowercase					( self					:  Any	):
						return f'''{self.framework}-transfromers-test'''



					@property
					def 	_lowercase					( self					:  Optional[Any]	):
						return f'''./tests/sagemaker/scripts/{self.framework}'''






					@property
					def 	_lowercase					( self					:  Union[str, Any]	):
						if self.framework == "pytorch":
							return "763104351884.dkr.ecr.us-east-1.amazonaws.com/huggingface-pytorch-training:1.7.1-transformers4.6.1-gpu-py36-cu110-ubuntu18.04"
						else:
							return "763104351884.dkr.ecr.us-east-1.amazonaws.com/huggingface-tensorflow-training:2.4.1-transformers4.6.1-gpu-py37-cu110-ubuntu18.04"







@pytest.fixture(scope="class"       )
def 					SCREAMING_SNAKE_CASE    (			snake_case_ :							Optional[Any]       ):
	snake_case__			:				Optional[int]       =  SageMakerTestEnvironment(framework=request.cls.framework       )



