

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













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() = }''')





