

'''simple docstring'''







from .hash_table import HashTable
from .number_theory.prime_numbers import is_prime, next_prime
class 					__a   (		_snake_case  ):

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

							"""simple docstring"""



							super().__init__(*lowercase__    ,			**lowercase__)

						def 	_UpperCAmelCase							(		self	:						Optional[int]    ,			lowercase__	:						Optional[Any]    ,			lowercase__	:						str)						->List[Any]:

							"""simple docstring"""



							_lowercase							=     (
							    next_prime(value % self.size_table)
							    if not is_prime(value % self.size_table)
							    else value % self.size_table
							)  # gt = bigger than
							return next_prime_gt - (data % next_prime_gt)

						def 	_UpperCAmelCase							(		self	:						int    ,			lowercase__	:						Optional[Any]    ,			lowercase__	:						Optional[Any]    ,			lowercase__	:						Tuple)						->Any:

							"""simple docstring"""



							return (increment * self.__hash_function_a(lowercase__    ,			lowercase__)) % self.size_table


						def 	_UpperCAmelCase							(		self	:						List[Any]    ,			lowercase__	:						Any    ,			lowercase__	:						List[str]=None)						->Dict:

							"""simple docstring"""



							_lowercase							=     1
							_lowercase							=     self.hash_function(lowercase__)

							while self.values[new_key] is not None and self.values[new_key] != key:
								_lowercase							=     (
								    self.__hash_double_function(lowercase__    ,			lowercase__    ,			lowercase__)
								    if self.balanced_factor() >= self.lim_charge
								    else None
								)
								if new_key is None:
									break
								else:
									i += 1

							return new_key







'''simple docstring'''







from __future__ import annotations

from collections.abc import Generator






def 					_SCREAMING_SNAKE_CASE		(						snake_case_	):
	if not isinstance(snake_case_							,       snake_case_	) or n < 1:
		raise Exception("""Sequence only defined for positive integers"""	)

	yield n
	while n != 1:
		if n % 2 == 0:
			n //= 2
		else:
			_lowercase							=     3 * n + 1
		yield n






def 					_SCREAMING_SNAKE_CASE		(						):
	_lowercase							=     43
	_lowercase							=     tuple(collatz_sequence(snake_case_	)	)
	print(snake_case_	)
	print(F"""Collatz sequence from {n} took {len(snake_case_	)} steps."""	)


if __name__ == "__main__":
							main()




