How to group ranged values using SQL Server

Question

I have a table of values like this

978412, 400
978813, 20
978834, 50
981001, 20

As you can see the second number when added to the first is

Answer 1

From the article that Josh posted, here's my take (tested and working):

SELECT
    MAX(t1.gapID) as gapID,
    t2.gapID-MAX(t1.gapID)+t2.gapSize as gapSize
    -- max(t1) is the specific lower bound of t2 because of the group by.
FROM
  ( -- t1 is the lower boundary of an island.
    SELECT gapID
    FROM gaps tbl1 
    WHERE
      NOT EXISTS(
        SELECT *
        FROM gaps tbl2 
        WHERE tbl1.gapID = tbl2.gapID + tbl2.gapSize + 1
      )
  ) t1
  INNER JOIN ( -- t2 is the upper boundary of an island.
    SELECT gapID, gapSize
    FROM gaps tbl1 
    WHERE
      NOT EXISTS(
        SELECT * FROM gaps tbl2 
        WHERE tbl2.gapID = tbl1.gapID + tbl1.gapSize + 1
      )
  ) t2 ON t1.gapID <= t2.gapID -- For all t1, we get all bigger t2 and opposite.
GROUP BY t2.gapID, t2.gapSize