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Using MySQL query in selecting room availability

I had this database structure in a hotel reservation in terms of room availability

below is my table of room

room_num    roomtype     
101         Single    
102         Single    
103         Single    
111         Deluxe    
112         Deluxe   
113         Deluxe    
114         Deluxe    
115         Deluxe    
116         Deluxe    
121         Superior  
122         Superior  

and the table below is room_booked which is records booked room numbers

dor is checkin date and dco is date checkout

room_num        dor         dco
  111        2014-06-01  2014-06-06
  112        2014-06-01  2014-06-06
  113        2014-06-01  2014-06-06
  114        2014-06-01  2014-06-06
  115        2014-06-01  2014-06-06
  116        2014-06-01  2014-06-06
  112        2014-05-18  2014-05-21
  113        2014-08-01  2014-08-04

In this case, all of Deluxe room are booked from 2014-06-01 to 2014-06-06 . Then I selected Deluxe room available from 2014-06-01 to 2014-06-06 by using this MySQL code below

SELECT
    room.room_num
FROM
    room
LEFT JOIN
    room_booked ON room_booked.room_num = room.room_num
WHERE
    (
        (
            dor IS NULL AND dco IS NULL
        )
        OR (
            -- wished booking date is before DOR
            '2014-06-06' < dor
            -- OR wished booking date is after DCO
            OR '2014-06-01' >=  dco
        )
    )
    -- room type
    AND roomtype = 'Deluxe'

However it shows Deluxe room no. 112 and 113 which is booked before and after selected date range above instead of 0 or fully booked. Is there any solution to fix this code?

I think you have to check both dates for check in and check out:

SELECT
    room.room_num
FROM
    room
WHERE
  roomtype = 'Deluxe' AND
  room.room_num not in 
  (
    SELECT
      room_booked.room_num
    FROM
      room_booked
    WHERE
      (room_booked.dor<='2014-06-1' and room_booked.dco>='2014-06-1')
      OR
      (room_booked.dor<'2014-06-06' and room_booked.dco>='2014-06-06')
      OR
      (room_booked.dor>='2014-06-01' and room_booked.dco<'2014-06-06')
   )

re-Edited answer and created a sqlfiddle for testing

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