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Comment by tromp

Meanwhile, for the game of Go, as played on a standard 19x19 board, we have:

The maximum number of possible next moves is 361, which happens only in the initial empty position.

The 361 hardest-to-reach positions (assuming logical rules like [2]) are all the positions with 360 white stones and 1 empty point. these take 2*361 = 722 ply to reach, with black passing all their turns.

And these answers were found without checking all 208168199381979984699478633344862770286522453884530548425639456820927419612738015378525648451698519643907259916015628128546089888314427129715319317557736620397247064840935 legal positions :-) [1]

[1] https://tromp.github.io/go/legal.html

[2] https://tromp.github.io/go.html

parent tromp 1 year ago

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