BTW, if anyone is wondering about the "roughly" part,
361! = 1.438 * 10^768 while L19 = 2.081681994 * 10^170.
On Sun, Aug 06, 2017 at 07:14:42PM -0700, David Doshay wrote:
> Yes, that zeroth order number (the one you get to without any thinking about
> how the game’s rules affect the calculation) is outdated since early last
> year when this result gave us the exact number of legal board positions:
> https://tromp.github.io/go/legal.html <https://tromp.github.io/go/legal.html>
> So, a complete game tree for 19x19 Go would contain about 2.08 * 10^170
> unique nodes (see the paper for all 171 digits) but some number of duplicates
> of those nodes for the different paths to each legal position.
> In an unfortunate bit of timing, it seems that many people missed this result
> because of the Alpha Go news.
> David G Doshay
> > On 6, Aug 2017, at 3:17 PM, Gunnar Farnebäck <gun...@lysator.liu.se> wrote:
> > On 08/06/2017 04:39 PM, Vincent Richard wrote:
> >> No, simply because there are way to many possibilities in the game,
> >> roughly (19x19)!
> > Can we lay this particular number to rest? Not that "possibilities in the
> > game" is very well defined (what does it even mean?) but the number of
> > permutations of 19x19 points has no meaningful connection to the game of go
> > at all, not even "roughly".
> > /Gunnar
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