How about this? Point value aside, only archive either complete games or quit games that have fewer than 10 tiles left. If you can, dunno.
This will eliminate zero-score games and expert games that are partially completed (even up to 60 or so tiles) but then quit due to impossibility of high score. But it would keep legitimately quit games due to a stuck tile.
I still vote for the "higher than 1000 only" BTW. At the very least, it might encourage players to become better to see their effort in the archive. |