dear Darren, Ingo, > Again by random sampling?
Yes, nothing fancy. > Are there certain moves(*) that bring games to an end earlier, or > certain moves(*) that make games go on longer? Would weighting them > appropriately in your random playouts help? You could try to weigh moves by how likely they lead to revisiting previous positions. I think that's the only thing that makes moves worse. > very interesting. Is it allowed for players > to pass in between? Do these passes count like > normal moves? Yes, passes are implied whenever two consecutively played stones are of the same color. > > Found a 582 move 3x3 game... > Can you give us sgf? I took the effort of trying to format the 582 game in a more insightful way. I ended up with lines of positions that mostly add stones, only starting a new line when a capture of more than 1 stone left at most 4 stones: The result is attached. I think there is clearly room for improvement, i.e. make this game much longer. > My intuition says that there should be a constant > delta > 0 such that for all board sizes m x n (with > m > 1, n > 1) there exist games of length > at least (1 + delta)^(m*n). This is true, and a delta > 2 follows from a Theorem in an upcoming paper by Matthieu Walraet and myself. > And also for m x 1 boards (so, only one "long" streak) > there should exist games with length above > (1 + delta)^m (they might be constructed by doing some > pseudo-counting, starting at one end of the board). We already have a lower bound of 2^{n+1}-4 as Theorem 9 in our combinatorics paper. > Might neural nets help to find (very) long games > for given board size? Neural nets are not the best way to deal with avoiding superko:-( regards, -John
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