SQLite将计数器从一行添加到下一行

我有下表：

Table final
-id INTEGER PRIMARY KEY
-addcounter TEXT NOT NULL
-secondaryID TEXT NOT NULL

格式如下：

1   0   1
2   1   null
3   1   null
4   0   null
5   0   null

所以基本上，在第X行的secondaryID上=第X-1行的secondaryID+第X-1行的addcounter

因此，上表应得出：

1   0   1
2   1   1
3   1   2
4   0   3
5   0   3

UPDATE final
SET secondaryID = (SELECT secondaryID
                   FROM final
                   ORDER BY id
                   LIMIT 1) +
                  (SELECT SUM(addcounter)
                   FROM final AS f2
                   WHERE id < final.id)
WHERE secondaryID IS NULL