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| Endgame problem, what's the best move order? http://www.lifein19x19.com/viewtopic.php?f=15&t=19256 |
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| Author: | dany [ Sun Aug 13, 2023 8:36 am ] |
| Post subject: | Endgame problem, what's the best move order? |
| Author: | ez4u [ Mon Aug 14, 2023 2:07 am ] |
| Post subject: | Re: Endgame problem, what's the best move order? |
dany wrote: Thanks dany! This was interesting. But without a little more info, it was hard to judge how interesting at a glance. So let me confirm the situation. Assuming Japanese rules and no komi, the overly straight-forward sequence below appears to be jigo. Note that Black has gained 36 points under the captured stones plus 1 additional point with moves 7 and 9 for a total of 37 points in the contested areas. The problem then becomes how can Black do better than this and how does White resist? From here I think there are people that can attempt this in their heads without needing an editor. |
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| Author: | RobertJasiek [ Mon Aug 14, 2023 3:20 am ] |
| Post subject: | Re: Endgame problem, what's the best move order? |
Since there are no kos, the "4" and "6" local endgames can be treated as such, in which Black has an essentially simple follow-up (comprising a 3-move sequence) and White has none. Therefore, my theory about several (here: two) such local endgames applies. Without having to calculate the actual move values and follow-up move values, we can simply denote them as M4 and F4, and M6 and F6, respectively. We have M4 >= M6 and F4 >= F6 hence may compare these two local endgames as "4" >= "6", for which my theory states: first play in the larger one. So play in "4" before playing in "6". By my theorem on simple gotes without follow-ups, they are played in decreasing-or-constant order so "1" before "3" before "5". You have implicitly applied both in your sample sequence. As soon as a follow-up becomes available in "4" or "6", or the "2" local endgame becomes a simple gote, these simple gotes deserve evaluation for play in order of all remaining simple gotes without follow-ups. For more strategic choices, we do not have simplifying theory so must resort to the method of reading and counting by analysing the tree of all remaining strategic choices while applying the simplifications above. 2 EDITs. |
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| Author: | ez4u [ Mon Aug 14, 2023 4:41 am ] |
| Post subject: | Re: Endgame problem, what's the best move order? |
My answer... |
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| Author: | dany [ Mon Aug 14, 2023 7:35 am ] |
| Post subject: | Re: Endgame problem, what's the best move order? |
What is the miai value of local positions? |
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