






import random







def      snake_case		(							UpperCAmelCase	:       int   ):
				A	 =      num - 1
				A	 =      0

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

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







def      snake_case		(							UpperCAmelCase	:       int   ):
				if num < 2:
								return False

				A	 =      [
				    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(UpperCAmelCase   )







def      snake_case		(							UpperCAmelCase	:       int = 10_24   ):
				while True:
								A	 =      random.randrange(2 ** (keysize - 1),						2 ** (keysize)   )
								if is_prime_low_num(UpperCAmelCase   ):
												return num


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













from collections import deque

from .hash_table import HashTable
class      UpperCamelCase (				snake_case__ ):







		"""simple docstring"""



		def __init__(  self		:       Any						,*_SCREAMING_SNAKE_CASE		:       Optional[int]						,**_SCREAMING_SNAKE_CASE		:       Optional[Any]		)    ->   int:


						'''simple docstring'''
						super().__init__(*_SCREAMING_SNAKE_CASE						,**_SCREAMING_SNAKE_CASE		)
		def       A(  self		:       Optional[int]						,_SCREAMING_SNAKE_CASE		:       Optional[Any]						,_SCREAMING_SNAKE_CASE		:       Tuple		)    ->   List[str]:


						'''simple docstring'''
						A	 =      deque([]		) if self.values[key] is None else self.values[key]
						self.values[key].appendleft(_SCREAMING_SNAKE_CASE		)
						A	 =      self.values[key]
		def       A(  self		:       Optional[Any]		)    ->   Union[str, Any]:


						'''simple docstring'''
						return (
						    sum(self.charge_factor - len(_SCREAMING_SNAKE_CASE		) for slot in self.values		)
						    / self.size_table
						    * self.charge_factor
						)







		def       A(  self		:       Dict						,_SCREAMING_SNAKE_CASE		:       Optional[int]						,_SCREAMING_SNAKE_CASE		:       str=None		)    ->   Union[str, Any]:


						'''simple docstring'''
						if not (
						    len(self.values[key]		) == self.charge_factor and self.values.count(_SCREAMING_SNAKE_CASE		) == 0
						):
										return key
						return super()._collision_resolution(_SCREAMING_SNAKE_CASE						,_SCREAMING_SNAKE_CASE		)





