from .hash_table import HashTable
from .number_theory.prime_numbers import is_prime, next_prime







class 			__snake_case   (     lowerCamelCase__   ):
 def __init__(  self		,   *snake_case__		,   **snake_case__						)	->							Optional[Any]:
       '''simple docstring'''





       super().__init__(*snake_case__		,   **snake_case__						)
 def 	UpperCAmelCase__       (  self		,   snake_case__		,   snake_case__						)	->							int:
       '''simple docstring'''





       UpperCAmelCase    : Any      =(
           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		,   snake_case__		,   snake_case__		,   snake_case__						)	->							Tuple:
       '''simple docstring'''





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






 def 	UpperCAmelCase__       (  self		,   snake_case__		,   snake_case__=None						)	->							Optional[int]:
       '''simple docstring'''





       UpperCAmelCase    : List[Any]      =1
       UpperCAmelCase    : List[str]      =self.hash_function(snake_case__						)

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

       return new_key

import math





def   lowerCAmelCase_ (				__lowerCAmelCase						)->  list[int]:






      '''simple docstring'''





      if not isinstance(__lowerCAmelCase		,					__lowerCAmelCase						):
            UpperCAmelCase    : Union[str, Any]      =f'''Input value of [number={number}] must be an integer'''
            raise TypeError(__lowerCAmelCase						)
      if number < 1:
            UpperCAmelCase    : Dict      =f'''Input value of [number={number}] must be a positive integer'''
            raise ValueError(__lowerCAmelCase						)
      UpperCAmelCase    : Dict      =[number]
      while number != 1:
            if number % 2 == 0:
                  UpperCAmelCase    : Optional[Any]      =math.floor(math.sqrt(__lowerCAmelCase						)						)
            else:
                  UpperCAmelCase    : List[str]      =math.floor(
                      math.sqrt(__lowerCAmelCase						) * math.sqrt(__lowerCAmelCase						) * math.sqrt(__lowerCAmelCase						)						)
            sequence.append(__lowerCAmelCase						)
      return sequence


if __name__ == "__main__":
     import doctest

     doctest.testmod()
