


def   _UpperCAmelCase       (     UpperCAmelCase      :			int						,	UpperCAmelCase      :			int      ):
      """simple docstring"""




      if a < 0 or b < 0:
            raise ValueError("""the value of both inputs must be positive"""      )

      __lowerCamelCase     :      Tuple       						=						str(bin(UpperCAmelCase      )      )[2:]  # remove the leading "0b"
      __lowerCamelCase     :      List[str]       						=						str(bin(UpperCAmelCase      )      )[2:]  # remove the leading "0b"

      __lowerCamelCase     :      Union[str, Any]       						=						max(len(UpperCAmelCase      )						,	len(UpperCAmelCase      )      )

      return "0b" + "".join(
          str(int(char_a == """1""" and char_b == """1"""      )      )
          for char_a, char_b in zip(a_binary.zfill(UpperCAmelCase      )						,	b_binary.zfill(UpperCAmelCase      )      )      )


if __name__ == "__main__":
    import doctest

    doctest.testmod()







def   _UpperCAmelCase       (     ):
      """simple docstring"""




      __lowerCamelCase     :      Optional[int]       						=						[31, 28, 31, 30, 31, 30, 31, 31, 30, 31, 30, 31]

      __lowerCamelCase     :      str       						=						6
      __lowerCamelCase     :      Optional[int]       						=						1
      __lowerCamelCase     :      Optional[int]       						=						1_901

      __lowerCamelCase     :      Optional[Any]       						=						0

      while year < 2_001:
            day += 7

            if (year % 4 == 0 and year % 100 != 0) or (year % 400 == 0):
                  if day > days_per_month[month - 1] and month != 2:
                        month += 1
                        __lowerCamelCase     :      Tuple       						=						day - days_per_month[month - 2]
                  elif day > 29 and month == 2:
                        month += 1
                        __lowerCamelCase     :      str       						=						day - 29
            else:
                  if day > days_per_month[month - 1]:
                        month += 1
                        __lowerCamelCase     :      Any       						=						day - days_per_month[month - 2]

            if month > 12:
                  year += 1
                  __lowerCamelCase     :      Optional[Any]       						=						1

            if year < 2_001 and day == 1:
                  sundays += 1
      return sundays


if __name__ == "__main__":
    print(solution())



