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Well, maybe not. I cracked it with one additional try.

8663

I don't know if this one should qualify here, but this is still the best one I've seen in a long time.

No, I'm not. Speaking of which, though, you can only select 32000 freecell games, but ... uh... I was about to say that all 52 cards are unique, and all 52 initial positions are unique, so there should be 52! = 8 * 10^67 possible games. But that's actually wrong. Compleletely swapping columns of identical length (ie, any 7 column with another, or any 6 column with another) results in essentially the same game. And completely swapping two suits (switch every heart with a spade of the same rank) results in essentially the same game, too. So... I guess I'll figure out how many unique combinations there are later.

Anyway, I never plan ahead in freecell, unless I'm forced to (say, I've tried several times and lost) (This may be why my favorite MDK 2 character is Max). Even playing 'recklessly', I'd estimate I finish 95% of the games I've tried on my first or second try.