


from __future__ import annotations




def   snake_case_	(    snake_case	)    ->							set[int]:
       lowercase__:  Optional[int]         =  {1}
       lowercase__:  Any         =  [1]
       for _ in range(2     ,				depth + 1	):
              lowercase__:  int         =  [*previous_coefficients, 0]
              lowercase__:  Optional[Any]         =  [0, *previous_coefficients]
              lowercase__:  Tuple         =  []
              for x, y in zip(snake_case     ,				snake_case	):
                     coefficients.add(x + y	)
                     previous_coefficients.append(x + y	)
       return coefficients




def   snake_case_	(    snake_case	)    ->							set[int]:
       lowercase__:  int         =  set()
       for number in unique_coefficients:
              lowercase__:  List[Any]         =  2
              lowercase__:  Dict         =  number
              while divisor**2 <= copy_number:
                     lowercase__:  Any         =  0
                     while copy_number % divisor == 0:
                            copy_number //= divisor
                            multiplicity += 1
                     if multiplicity >= 2:
                            non_squarefrees.add(snake_case	)
                            break
                     divisor += 1

       return unique_coefficients.difference(snake_case	)




def   snake_case_	(    snake_case = 51	)    ->							int:
       lowercase__:  Union[str, Any]         =  get_pascal_triangle_unique_coefficients(snake_case	)
       lowercase__:  List[str]         =  get_squarefrees(snake_case	)
       return sum(snake_case	)


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






def   snake_case_	(    snake_case	)    ->							str:
       lowercase__:  Optional[Any]         =  1
       lowercase__:  Optional[Any]         =  0
       lowercase__:  int         =  1
       lowercase__:  Any         =  1
       lowercase__:  Optional[Any]         =  3
       lowercase__:  List[str]         =  3
       lowercase__:  Optional[Any]         =  limit
       lowercase__:  List[Any]         =  0

       lowercase__:  int         =  ''
       while counter != decimal + 1:
              if 4 * q + r - t < n * t:
                     result += str(snake_case	)
                     if counter == 0:
                            result += "."

                     if decimal == counter:
                            break

                     counter += 1
                     lowercase__:  List[Any]         =  10 * (r - n * t)
                     lowercase__:  int         =  ((10 * (3 * q + r)) // t) - 10 * n
                     q *= 10
                     lowercase__:  Any         =  nr
              else:
                     lowercase__:  List[str]         =  (2 * q + r) * l
                     lowercase__:  Tuple         =  (q * (7 * k) + 2 + (r * l)) // (t * l)
                     q *= k
                     t *= l
                     l += 2
                     k += 1
                     lowercase__:  Dict         =  nn
                     lowercase__:  Optional[int]         =  nr
       return result




def   snake_case_	(    )    ->							None:
       print(f'{calculate_pi(50	) = }'	)
       import doctest

       doctest.testmod()


if __name__ == "__main__":
 main()


