Endgame Problem 3 / Solution
![[Diagram]](../../diagrams/13/d1e9c6eaca5906c117892a6ebc0038cb.png)
Solid connection
saves the
stones. If Ba instead,
may lead to their capture.
![[Diagram]](../../diagrams/36/c7047a0a2cebb57d502544f03cd96e1f.png)
Seki
And now
makes a seki. Black can play a ko but with the risk of losing everything. Hans
Miai Value analysis
![[Diagram]](../../diagrams/49/264fc726a59cdfa4109a81da2d2c06b0.png)
Seki
Let's take this as the zero diagram.
After
, A and B are miai for Black, so he lives with 7 points. C-D is still Black's sente.
Instead of playing the seki, White can also execute
-
in sente. Later, Black's block will be sente, so we count this as 4 points (5 for Black and 1 White at D).
So this
is a sente with value 3, while making the seki is a gote move with miai value 3.5 and therefore better in most circumstances.
![[Diagram]](../../diagrams/17/cbbd39104970ac613ca63970ecbc41b4.png)
White first
White can kill the whole group this way
![[Diagram]](../../diagrams/0/2af085afd7d311236c20a3673931a86d.png)
White first
This might be the strongest resistance: ko.
![[Diagram]](../../diagrams/14/cc50405dd8f1bc4eb384912a9e48d164.png)
Just the stones
White can also take 8 stones in sente (the follow up would be larger).
If White takes the sente rather than the ko, we get the following game tree
-6.25 (9.75)
/ \
3.5 (3.5) -16 (0|21))
/ \ / \
7 0 -16 (-37)