




def        lowerCAmelCase_			(  snake_case_ = 1,snake_case_ = 1000  ):
      _A							:  Optional[int]    =		1
      _A							:  List[Any]    =		0

      for divide_by_number in range(snake_case_,digit + 1  ):
            _A							:  list[int]    =		[]
            _A							:  Any    =		numerator
            for _ in range(1,digit + 1  ):
                  if now_divide in has_been_divided:
                        if longest_list_length < len(snake_case_  ):
                              _A							:  Optional[Any]    =		len(snake_case_  )
                              _A							:  Optional[Any]    =		divide_by_number
                  else:
                        has_been_divided.append(snake_case_  )
                        _A							:  Tuple    =		now_divide * 10 % divide_by_number

      return the_digit


# Tests
if __name__ == "__main__":
  import doctest

  doctest.testmod()







def        lowerCAmelCase_			(  snake_case_ = 1000000  ):
      _A							:  Any    =		limit + 1
      _A							:  Tuple    =		[0] * limit
      for first_term in range(1,snake_case_  ):
            for n in range(snake_case_,snake_case_,snake_case_  ):
                  _A							:  Optional[int]    =		first_term + n / first_term
                  if common_difference % 4:  # d must be divisble by 4
                        continue
                  else:
                        common_difference /= 4
                        if (
                            first_term > common_difference
                            and first_term < 4 * common_difference
                        ):  # since x,y,z are positive integers
                              frequency[n] += 1  # so z>0 and a>d ,also 4d<a

      _A							:  List[str]    =		sum(1 for x in frequency[1:limit] if x == 10  )

      return count


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

