[Retros] Happy New Hebrew Year

[andrew buchanan]

Dear retro friends,

Today is the first day of the new Hebrew Year, 5778, a mathematically auspicious number!

In an entirely unrelated matter :D here is a chess position. 
http://www.janko.at/Retros/d.php?ff=8/8/8/1p6/kPp5/BpPp2p1/pBRP2P1/B1B1K3
Assuming optimal play, how many different possible sequences are there of the next 18.0 moves? (Shorter games don't count. Ignore the rules for drawing by repetition & dead position.)

All the best,
Andrew
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