Removing branches from a tree

I've got a tree and I want to find the value at the root defined as the parent with reltype 4, but I want to exclude any branches that have a reltype of 4 anywhere along them
1 with rel as
2 (select 2205 parent
3         ,2206 child
4         ,1    reltype
5   FROM   dual
6   UNION all
7   SELECT 2206
8         ,9559
9         ,4
10   FROM dual
11   UNION all
12   SELECT 9558
13         ,9559
14         ,1
15   FROM dual
16 )
17 select * from
18 (SELECT parent,reltype
19   FROM   rel
20   CONNECT BY PRIOR parent = child
21   START WITH child = 9559
22 )
23* WHERE reltype = 1
SQL>/
    PARENT    RELTYPE
      2205          1
      9558          1Because the record parent = 2206, child = 9559 has a reltype of 4 I don't want to proceed any further down the tree, I want my final result set just to have parent 9558. Ie. I want the connect by looping to stop when it gets to a 4.
Thanks

I want the connect by looping to stop when it gets to a 4.
CONNECT BY PRIOR parent = child and prior reltype <> 4

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