- You should be able to cleanly clear the 6-8th columns (by starting on the row up from the bottom, and moving the jewels up... clear just 6-8... you have to start NOT on the bottom so that you bring down the purple stars from up top to wipe out the one on the bottom).
- Next, do 2 swaps in columns 4-5 to clear out everything but the stars (they should end up on the bottom).
- Then in columns 1-3, start on the bottom, and move stuff down to complete rows. One at a time, lower the stuff... then you should be able to clean it out from there.
Unfortunately, I didn't write down the sequence, but... here's roughly how you do it: