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