from .number_theory.prime_numbers import next_prime





class   lowerCAmelCase    :



     def __init__(       self					,   lowerCAmelCase__					,   lowerCAmelCase__ = None					,   lowerCAmelCase__ = None					,   ):
            _A=						size_table
            _A=						[None] * self.size_table
            _A=						0.75 if lim_charge is None else lim_charge
            _A=						1 if charge_factor is None else charge_factor
            _A=						[]
            _A=						{}



     def       a__	(       self							):
            return self._keys



     def       a__	(       self							):
            return sum(1 for slot in self.values if slot is not None							) / (
                self.size_table * self.charge_factor
            )



     def       a__	(       self					,   lowerCAmelCase__							):
            return key % self.size_table



     def       a__	(       self					,   lowerCAmelCase__							):
            print(f"step {step_ord}"							)
            print(list(range(len(self.values							)							)							)							)
            print(self.values							)



     def       a__	(       self					,   lowerCAmelCase__							):
            _A=						1
            _A=						values
            for value in values:
                   self.insert_data(lowerCAmelCase__							)
                   self._step_by_step(lowerCAmelCase__							)
                   i += 1



     def       a__	(       self					,   lowerCAmelCase__					,   lowerCAmelCase__							):
            _A=						data
            _A=						data



     def       a__	(       self					,   lowerCAmelCase__					,   lowerCAmelCase__=None							):
            _A=						self.hash_function(key + 1							)

            while self.values[new_key] is not None and self.values[new_key] != key:
                   if self.values.count(lowerCAmelCase__							) > 0:
                          _A=						self.hash_function(new_key + 1							)
                   else:
                          _A=						None
                          break

            return new_key



     def       a__	(       self							):
            _A=						[value for value in self.values if value is not None]
            _A=						next_prime(self.size_table					,   factor=2							)
            self._keys.clear()
            _A=						[None] * self.size_table  # hell's pointers D: don't DRY ;/
            for value in survivor_values:
                   self.insert_data(lowerCAmelCase__							)





     def       a__	(       self					,   lowerCAmelCase__							):
            _A=						self.hash_function(lowerCAmelCase__							)

            if self.values[key] is None:
                   self._set_value(lowerCAmelCase__					,   lowerCAmelCase__							)

            elif self.values[key] == data:
                   pass

            else:
                   _A=						self._collision_resolution(lowerCAmelCase__					,   lowerCAmelCase__							)
                   if collision_resolution is not None:
                          self._set_value(lowerCAmelCase__					,   lowerCAmelCase__							)
                   else:
                          self.rehashing()
                          self.insert_data(lowerCAmelCase__							)
from __future__ import annotations

def 				UpperCamelCase					(     lowerCAmelCase_ )		->    set[int]:




       '''simple docstring'''






       _A=						{1}
       _A=						[1]
       for _ in range(2							,       depth + 1 ):
              _A=						[*previous_coefficients, 0]
              _A=						[0, *previous_coefficients]
              _A=						[]
              for x, y in zip(lowerCAmelCase_							,       lowerCAmelCase_ ):
                     coefficients.add(x + y )
                     previous_coefficients.append(x + y )
       return coefficients

def 				UpperCamelCase					(     lowerCAmelCase_ )		->    set[int]:




       '''simple docstring'''






       _A=						set()
       for number in unique_coefficients:
              _A=						2
              _A=						number
              while divisor**2 <= copy_number:
                     _A=						0
                     while copy_number % divisor == 0:
                            copy_number //= divisor
                            multiplicity += 1
                     if multiplicity >= 2:
                            non_squarefrees.add(lowerCAmelCase_ )
                            break
                     divisor += 1

       return unique_coefficients.difference(lowerCAmelCase_ )

def 				UpperCamelCase					(     lowerCAmelCase_ = 51 )		->    int:




       '''simple docstring'''






       _A=						get_pascal_triangle_unique_coefficients(lowerCAmelCase_ )
       _A=						get_squarefrees(lowerCAmelCase_ )
       return sum(lowerCAmelCase_ )


if __name__ == "__main__":
      print(F"{solution() = }")