this post was submitted on 27 Jun 2025
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[–] Zink@programming.dev 2 points 20 hours ago (1 children)

If you don’t limit it to valid positions/arrangements it’s like 10^120. Closer to the “number of X in the observable universe” caliber of number.

[–] PolarKraken@programming.dev 1 points 18 hours ago

So I think I was wrong, but you are too lmao.

10^120^ is the number of valid game-trees, or valid ~80 move games.

The much smaller number I quoted above, though, IS the valid positions, I was thinking it was actually the trimmed down "truly valid" game-tree sequences.

Isn't math fun? Limitless ways for us to be wrong!