Life in 19x19. Go, Weiqi, Baduk... Thats the life.
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Thanks.Knotwilg wrote:First calculation:
1) White has on average 2817/512 = 5.501953125
2) First play gains 545/512 = 1.064453125
Knotwilg wrote:
Second attempt: White has 821/256 on average; a play gains 245/256 on average
You have not commented on that aspect before. Me too I get a 256 denominator. It's not the hint that set me up for it, but the problem composition, which suggests the two false eyes are unsettled points, depending on follow-up play.Bill Spight wrote:I am afraid my hint gave the impression that the answers have a large denominator. That may not be the case.
So did I, and that's when I posted the problem. But I was mistaken.Knotwilg wrote:You have not commented on that aspect before. Me too I get a 256 denominator.Bill Spight wrote:I am afraid my hint gave the impression that the answers have a large denominator. That may not be the case.
I was inspired by a similar position I ran across in a pro endgame. I thought that the false eyes (Edit: technically, half eyes) made for a cool problem.It's not the hint that set me up for it, but the problem composition, which suggests the two false eyes are unsettled points, depending on follow-up play.
If it were only about the big eye where the action is, then why the complex problem composition with two real eyes at the tail?
This position is slightly simpler than the game position. The half eyes are still significant. 1) White has on average 83/16 = 5.1875Bill Spight wrote:Warning, this one gives a big hint.
...
Now we have a simpler problem than the original
then 
gets 5½ pts. on average.
White has 3¼ pts. on average.