code: 
  
  from .hash_table import HashTable
  from .number_theory.prime_numbers import is_prime, next_prime
  
  
  
  
  
  
  class    __A				(							lowerCAmelCase ):
  
  
  
  
  
  
      def __init__(	self			:    int    ,				*UpperCAmelCase_			:    Optional[Any]    ,				**UpperCAmelCase_			:    Any    ):
          super().__init__(*UpperCAmelCase_    ,				**UpperCAmelCase_    )
  
  
  
  
  
  
      def 	lowercase__ (	self			:    str    ,				UpperCAmelCase_			:    Union[str, Any]    ,				UpperCAmelCase_			:    Tuple    ):
          lowerCAmelCase				:			Optional[int]    			=      (
              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 	lowercase__ (	self			:    List[str]    ,				UpperCAmelCase_			:    List[str]    ,				UpperCAmelCase_			:    List[str]    ,				UpperCAmelCase_			:    int    ):
          return (increment * self.__hash_function_a(UpperCAmelCase_    ,				UpperCAmelCase_    )) % self.size_table
  
  
  
  
  
  
      def 	lowercase__ (	self			:    Any    ,				UpperCAmelCase_			:    Tuple    ,				UpperCAmelCase_			:    Optional[int]=None    ):
          lowerCAmelCase				:			Tuple    			=      1
          lowerCAmelCase				:			int    			=      self.hash_function(UpperCAmelCase_    )
  
          while self.values[new_key] is not None and self.values[new_key] != key:
              lowerCAmelCase				:			Optional[int]    			=      (
                  self.__hash_double_function(UpperCAmelCase_    ,				UpperCAmelCase_    ,				UpperCAmelCase_    )
                  if self.balanced_factor() >= self.lim_charge
                  else None
              )
              if new_key is None:
                  break
              else:
                  i += 1
  
          return new_key
  
  
  
  
  
  
style_context: 
  
  from __future__ import annotations
  def 		SCREAMING_SNAKE_CASE__				(							_UpperCAmelCase				)					-> set[int]:
  
  
  
      '''simple docstring'''
  
  
  
  
  
  
      lowerCAmelCase				:			List[str]    			=      {1}
      lowerCAmelCase				:			int    			=      [1]
      for _ in range(2,      depth + 1				):
          lowerCAmelCase				:			str    			=      [*previous_coefficients, 0]
          lowerCAmelCase				:			Optional[int]    			=      [0, *previous_coefficients]
          lowerCAmelCase				:			Tuple    			=      []
          for x, y in zip(_UpperCAmelCase,      _UpperCAmelCase				):
              coefficients.add(x + y				)
              previous_coefficients.append(x + y				)
      return coefficients
  def 		SCREAMING_SNAKE_CASE__				(							_UpperCAmelCase				)					-> set[int]:
  
  
  
      '''simple docstring'''
  
  
  
  
  
  
      lowerCAmelCase				:			str    			=      set()
      for number in unique_coefficients:
          lowerCAmelCase				:			Dict    			=      2
          lowerCAmelCase				:			Tuple    			=      number
          while divisor**2 <= copy_number:
              lowerCAmelCase				:			List[str]    			=      0
              while copy_number % divisor == 0:
                  copy_number //= divisor
                  multiplicity += 1
              if multiplicity >= 2:
                  non_squarefrees.add(_UpperCAmelCase				)
                  break
              divisor += 1
  
      return unique_coefficients.difference(_UpperCAmelCase				)
  def 		SCREAMING_SNAKE_CASE__				(							_UpperCAmelCase = 51				)					-> int:
  
  
  
      '''simple docstring'''
  
  
  
  
  
  
      lowerCAmelCase				:			int    			=      get_pascal_triangle_unique_coefficients(_UpperCAmelCase				)
      lowerCAmelCase				:			Optional[int]    			=      get_squarefrees(_UpperCAmelCase				)
      return sum(_UpperCAmelCase				)
  
  
  if __name__ == "__main__":
   print(F'{solution() = }')
  
  
  
  
  
  