SQL: How to exclude group from result set by one of the elements, not using subqueries

Question

Input:

id    group_id    type_id    
1     1           aaaaa          
2     1           BAD
3     2           bbbbb
4     2           ccccc
5     3           ddddd
6     3           eeeee
7     3           aaaaa

1. I need to output group_id s which consist only of a members for which type_id <> 'BAD' . A whole group with at least one BAD member should be excluded
2. Use of subqueries (or CTE or NOT EXISTS or views or T-SQL inline functions) is not allowed!
3. Use of except is not allowed!
4. Use of cursors is not allowed.

Any solutions which trick the rules above are appreciated. Any RDBMS is ok.

Bad example solution producing correct results, (using except ):

select distinct group_id
from input
except
select group_id
from input
where type_id = 'bad'
group by group_id, type_id

Output:

group_id
2
3

Answer 1

I would just use group by and having :

select group_id
from input
group by group_id
having min(type_id) = 'good' and max(type_id) = min(type_id);

This particular version assumes that type_id (as in the question) does not take on NULL values. It is easily modified to take that into account.

EDIT:

If you are looking for one bad, then just do:

select group_id
from input
where type_id = 'bad'
group by group_id;

Answer 2

Group by group_id and count occurrences of 'BAD' :

select group_id
from mytable
group by group_id
having count(case when type_id = 'BAD' then 'count me' end) = 0;