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




class 				__lowerCAmelCase					(    a_  ):



 '''simple docstring'''

 def __init__(     self    :						Union[str, Any]    ,     *lowerCamelCase    :						List[Any]    ,     **lowerCamelCase    :						Dict					)	->							List[Any]:
        super().__init__(*lowerCamelCase    ,     **lowerCamelCase					)

 def    __snake_case   (     self    :						Optional[Any]    ,     lowerCamelCase    :						Dict    ,     lowerCamelCase    :						List[Any]					)	->							Tuple:
        _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    __snake_case   (     self    :						Optional[int]    ,     lowerCamelCase    :						List[Any]    ,     lowerCamelCase    :						Optional[int]    ,     lowerCamelCase    :						int					)	->							Optional[Any]:
        return (increment * self.__hash_function_a(lowerCamelCase    ,     lowerCamelCase					)) % self.size_table

 def    __snake_case   (     self    :						List[Any]    ,     lowerCamelCase    :						Dict    ,     lowerCamelCase    :						List[Any]=None					)	->							Optional[Any]:
        _UpperCamelCase       :    Optional[Any]					  =					1
        _UpperCamelCase       :    Dict					  =					self.hash_function(lowerCamelCase					)

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

        return new_key




def SCREAMING_SNAKE_CASE			(       lowercase_:		list[int]			):

       # validate:
       if not isinstance(lowercase_						,  lowercase_			) or not all(
           isinstance(lowercase_						,  lowercase_			) and item >= 0 for item in citations			):
              raise ValueError('The citations should be a list of non negative integers.'			)

       citations.sort()
       _UpperCamelCase       :    List[str]					  =					len(lowercase_			)

       for i in range(lowercase_			):
              if citations[len_citations - 1 - i] <= i:
                     return i

       return len_citations


if __name__ == "__main__":
 import doctest

 doctest.testmod()



