
from .number_theory.prime_numbers import next_prime






class 							SCREAMING_SNAKE_CASE__     :

							"""simple docstring"""






							def __init__(	self  ,						SCREAMING_SNAKE_CASE_  ,						SCREAMING_SNAKE_CASE_ = None  ,						SCREAMING_SNAKE_CASE_ = None  ,						)-> None:





													'''simple docstring'''






													__UpperCamelCase  	=      size_table
													__UpperCamelCase  	=      [None] * self.size_table
													__UpperCamelCase  	=      0.7_5 if lim_charge is None else lim_charge
													__UpperCamelCase  	=      1 if charge_factor is None else charge_factor
													__UpperCamelCase  	=      []
													__UpperCamelCase  	=      {}



							def      A__		(	self      )-> int:





													'''simple docstring'''






													return self._keys



							def      A__		(	self      )-> Any:





													'''simple docstring'''






													return sum(1 for slot in self.values if slot is not None      ) / (
													    self.size_table * self.charge_factor
													)



							def      A__		(	self  ,						SCREAMING_SNAKE_CASE_      )-> Any:





													'''simple docstring'''






													return key % self.size_table



							def      A__		(	self  ,						SCREAMING_SNAKE_CASE_      )-> Union[str, Any]:





													'''simple docstring'''






													print(F"step {step_ord}"      )
													print(list(range(len(self.values      )      )      )      )
													print(self.values      )



							def      A__		(	self  ,						SCREAMING_SNAKE_CASE_      )-> Optional[int]:





													'''simple docstring'''






													__UpperCamelCase  	=      1
													__UpperCamelCase  	=      values
													for value in values:
																			self.insert_data(SCREAMING_SNAKE_CASE_      )
																			self._step_by_step(SCREAMING_SNAKE_CASE_      )
																			i += 1



							def      A__		(	self  ,						SCREAMING_SNAKE_CASE_  ,						SCREAMING_SNAKE_CASE_      )-> str:





													'''simple docstring'''






													__UpperCamelCase  	=      data
													__UpperCamelCase  	=      data



							def      A__		(	self  ,						SCREAMING_SNAKE_CASE_  ,						SCREAMING_SNAKE_CASE_=None      )-> int:





													'''simple docstring'''






													__UpperCamelCase  	=      self.hash_function(key + 1      )

													while self.values[new_key] is not None and self.values[new_key] != key:
																			if self.values.count(SCREAMING_SNAKE_CASE_      ) > 0:
																									__UpperCamelCase  	=      self.hash_function(new_key + 1      )
																			else:
																									__UpperCamelCase  	=      None
																									break

													return new_key



							def      A__		(	self      )-> Any:





													'''simple docstring'''






													__UpperCamelCase  	=      [value for value in self.values if value is not None]
													__UpperCamelCase  	=      next_prime(self.size_table  ,						factor=2      )
													self._keys.clear()
													__UpperCamelCase  	=      [None] * self.size_table  # hell's pointers D: don't DRY ;/
													for value in survivor_values:
																			self.insert_data(SCREAMING_SNAKE_CASE_      )



							def      A__		(	self  ,						SCREAMING_SNAKE_CASE_      )-> Optional[Any]:





													'''simple docstring'''






													__UpperCamelCase  	=      self.hash_function(SCREAMING_SNAKE_CASE_      )

													if self.values[key] is None:
																			self._set_value(SCREAMING_SNAKE_CASE_  ,						SCREAMING_SNAKE_CASE_      )

													elif self.values[key] == data:
																			pass

													else:
																			__UpperCamelCase  	=      self._collision_resolution(SCREAMING_SNAKE_CASE_  ,						SCREAMING_SNAKE_CASE_      )
																			if collision_resolution is not None:
																									self._set_value(SCREAMING_SNAKE_CASE_  ,						SCREAMING_SNAKE_CASE_      )
																			else:
																									self.rehashing()
																									self.insert_data(SCREAMING_SNAKE_CASE_      )











import math
from timeit import timeit





def     lowerCamelCase__  (  UpperCamelCase__      :							int    )      ->			int:



					'''simple docstring'''




					_snake_case						=					0
					_snake_case						=					abs(UpperCamelCase__    )
					while True:
										_snake_case						=					n // 10
										digits += 1
										if n == 0:
															break
					return digits





def     lowerCamelCase__  (  UpperCamelCase__      :							int    )      ->			int:



					'''simple docstring'''




					return 1 if n == 0 else math.floor(math.log(abs(UpperCamelCase__    )							,     10    ) + 1    )





def     lowerCamelCase__  (  UpperCamelCase__      :							int    )      ->			int:



					'''simple docstring'''




					return len(str(abs(UpperCamelCase__    )    )    )





def     lowerCamelCase__  (  )      ->			None:



					'''simple docstring'''




					from collections.abc import Callable

					def benchmark_a_function(UpperCamelCase__      :							Callable							,     UpperCamelCase__      :							int    ) -> None:
										_snake_case						=					F'''{func.__name__}({value})'''
										_snake_case						=					timeit(F'''__main__.{call}'''							,     setup='import __main__'    )
										print(F'''{call}: {func(UpperCamelCase__    )} -- {timing} seconds'''    )

					for value in (262_144, 1_125_899_906_842_624, 1_267_650_600_228_229_401_496_703_205_376):
										for func in (num_digits, num_digits_fast, num_digits_faster):
															benchmark_a_function(UpperCamelCase__							,     UpperCamelCase__    )
										print()


if __name__ == "__main__":
					import doctest

					doctest.testmod()
					benchmark()



