from __future__ import annotations






def 					SCREAMING_SNAKE_CASE_			(		lowerCAmelCase_: int     ):
      snake_case_     :			int       =       {1}
      snake_case_     :			Union[str, Any]       =       [1]
      for _ in range(2 ,	depth + 1     ):
            snake_case_     :			str       =       [*previous_coefficients, 0]
            snake_case_     :			Union[str, Any]       =       [0, *previous_coefficients]
            snake_case_     :			List[str]       =       []
            for x, y in zip(lowerCAmelCase_ ,	lowerCAmelCase_     ):
                  coefficients.add(x + y     )
                  previous_coefficients.append(x + y     )
      return coefficients






def 					SCREAMING_SNAKE_CASE_			(		lowerCAmelCase_: set[int]     ):
      snake_case_     :			List[str]       =       set()
      for number in unique_coefficients:
            snake_case_     :			Union[str, Any]       =       2
            snake_case_     :			Dict       =       number
            while divisor**2 <= copy_number:
                  snake_case_     :			Dict       =       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 					SCREAMING_SNAKE_CASE_			(		lowerCAmelCase_: int = 5_1     ):
      snake_case_     :			str       =       get_pascal_triangle_unique_coefficients(lowerCAmelCase_     )
      snake_case_     :			int       =       get_squarefrees(lowerCAmelCase_     )
      return sum(lowerCAmelCase_     )


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




from __future__ import annotations

UpperCAmelCase							=       "Alexander Joslin"






def 					SCREAMING_SNAKE_CASE_			(		lowerCAmelCase_: int     ):

      if number <= 0:
            snake_case_     :			Dict       =       f"n must be greater than 0. Got n = {number}"
            raise ValueError(lowerCAmelCase_     )

      snake_case_     :			Tuple       =       [number + 1] * (number + 1)

      # starting position
      snake_case_     :			Union[str, Any]       =       0
      for i in range(1 ,	lowerCAmelCase_     ):
            snake_case_     :			int       =       min(table[i + 1] ,	table[i] + 1     )
            # check if out of bounds
            if i * 2 <= number:
                  snake_case_     :			Tuple       =       min(table[i * 2] ,	table[i] + 1     )
            # check if out of bounds
            if i * 3 <= number:
                  snake_case_     :			Dict       =       min(table[i * 3] ,	table[i] + 1     )
      return table[number]


if __name__ == "__main__":
     import doctest

     doctest.testmod()



