how to use COUNT(DISTINCT error_code) OVER () in vertica

I am using Vertica, I have a table with 3 columns: id, error_code and timestamp.

I want to check if in the last hour there were 3 different error_code in 5 minutes window interval for the same id.

this is my query:

select * from
(SELECT id, err_code, timestamp,
COUNT(DISTINCT err_code) OVER (PARTITION BY id ORDER BY timestamp
       RANGE BETWEEN INTERVAL '10 minutes'
   PRECEDING AND CURRENT ROW) as count
FROM my_table
WHERE timestamp > CURRENT_TIMESTAMP - INTERVAL '1 hour 5 minutes'
group by id, err_code, timestamp
order by id, timestamp) a
order by id, timestamp

However, Vertica doesn't support COUNT(DISTINCT) OVER():

ERROR: Only MIN/MAX and BOOL_AND/BOOL_OR are allowed to use DISTINCT

how to get the wanted result?

without DISTINCT this is the result:

the wanted result should be:

With 4 distinct values altogether for err_code, add a sum of 4 OLAP expressions returning

• the maximum of 1 if the error code is 1 or 0 if the error code is not 1
• the maximum of 1 if the error code is 2 or 0 if the error code is not 2
• the maximum of 1 if the error code is 3 or 0 if the error code is not 3
• the maximum of 1 if the error code is 4 or 0 if the error code is not 4 ... in the past 10 minutes:

WITH
-- your in data (would have been nice if you had added it so that I could have copy-pasted it)
indata(id,err_code,ts) AS (
            SELECT 87654321,1,TIMESTAMP '2023-08-10 06:29:40'
  UNION ALL SELECT 87654321,2,TIMESTAMP '2023-08-10 06:29:43'
  UNION ALL SELECT 87654321,3,TIMESTAMP '2023-08-10 06:29:49'
  UNION ALL SELECT 87654321,4,TIMESTAMP '2023-08-10 06:29:52'
  UNION ALL SELECT 87654321,1,TIMESTAMP '2023-08-10 06:34:52'
  UNION ALL SELECT 87654321,2,TIMESTAMP '2023-08-10 06:34:55'
  UNION ALL SELECT 87654321,3,TIMESTAMP '2023-08-10 06:35:01'
  UNION ALL SELECT 87654321,4,TIMESTAMP '2023-08-10 06:35:04'
  UNION ALL SELECT 87654321,1,TIMESTAMP '2023-08-10 06:40:04'
  UNION ALL SELECT 87654321,2,TIMESTAMP '2023-08-10 06:40:07'
  UNION ALL SELECT 87654321,3,TIMESTAMP '2023-08-10 06:40:13'
  UNION ALL SELECT 87654321,4,TIMESTAMP '2023-08-10 06:40:16'
  UNION ALL SELECT 87654321,1,TIMESTAMP '2023-08-10 06:45:16'
  UNION ALL SELECT 87654321,2,TIMESTAMP '2023-08-10 06:45:19'
  UNION ALL SELECT 87654321,3,TIMESTAMP '2023-08-10 06:45:25'
  UNION ALL SELECT 87654321,4,TIMESTAMP '2023-08-10 06:45:28'
  UNION ALL SELECT 87654321,1,TIMESTAMP '2023-08-10 06:50:28'
  UNION ALL SELECT 87654321,2,TIMESTAMP '2023-08-10 06:50:32'
)
-- end of input, real query starts here ....
SELECT
  *
,   MAX(CASE err_code WHEN 1 THEN 1 ELSE 0 END) 
     OVER (w RANGE BETWEEN '10 min' PRECEDING AND CURRENT ROW) 
  + MAX(CASE err_code WHEN 2 THEN 1 ELSE 0 END) 
     OVER (w RANGE BETWEEN '10 min' PRECEDING AND CURRENT ROW) 
  + MAX(CASE err_code WHEN 3 THEN 1 ELSE 0 END) 
     OVER (w RANGE BETWEEN '10 min' PRECEDING AND CURRENT ROW) 
  + MAX(CASE err_code WHEN 4 THEN 1 ELSE 0 END) 
     OVER (w RANGE BETWEEN '10 min' PRECEDING AND CURRENT ROW) 
  AS running_count_distinct
FROM indata
WINDOW w AS (PARTITION BY id ORDER BY ts) -- named window