Diagram 0
$$Bc BadukPop has only one star point, but KaTrain has nine.
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$$ | . . , . , . , . . |
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$$ | . . , . , . , . . |
$$ | . . . . . . . . . |
$$ | . . , . , . , . . |
$$ | . . . . . . . . . |
$$ | . . . . . . . . . |
$$ -------------------
- Click Here To Show Diagram Code
[go]$$Bc BadukPop has only one star point, but KaTrain has nine.
$$ -------------------
$$ | . . . . . . . . . |
$$ | . . . . . . . . . |
$$ | . . , . , . , . . |
$$ | . . . . . . . . . |
$$ | . . , . , . , . . |
$$ | . . . . . . . . . |
$$ | . . , . , . , . . |
$$ | . . . . . . . . . |
$$ | . . . . . . . . . |
$$ -------------------[/go]
I decided to aim for a high rank on BadukPop, so I'm reviewing my 9x9 games with KataGo.
By the way, I played white in this game, and made mistakes totaling about 17 points. My opponent's mistakes totaled about 16 points, so I lost.
Diagram 1 - The opening
$$Bc :b3: and :b5: were suboptimal. White to play.
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$$ | . . . . . . . . . |
$$ | . . . . . . . . . |
$$ | . . , . , b a . . |
$$ | . . . 9 . 2 5 . . |
$$ | . . d . , 4 3 . . |
$$ | . . . 1 . 6 7 . . |
$$ | . . e . , 8 c . . |
$$ | . . . . . . . . . |
$$ | . . . . . . . . . |
$$ -------------------
- Click Here To Show Diagram Code
[go]$$Bc :b3: and :b5: were suboptimal. White to play.
$$ -------------------
$$ | . . . . . . . . . |
$$ | . . . . . . . . . |
$$ | . . , . , b a . . |
$$ | . . . 9 . 2 5 . . |
$$ | . . d . , 4 3 . . |
$$ | . . . 1 . 6 7 . . |
$$ | . . e . , 8 c . . |
$$ | . . . . . . . . . |
$$ | . . . . . . . . . |
$$ -------------------[/go]
a-
e are some possibilities for white's next move. This is in policy order (so, e.g.
a is not necessarily the best move, but it is the most intuitive according to KataGo).
Diagram 2 - First mistake
$$Wc :w1: is creating a weak group
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$$ | . . . . . . . . . |
$$ | . . . . . . . . . |
$$ | . . , . , . , . . |
$$ | . . . X . O X . . |
$$ | . . . . , O X . . |
$$ | . . . X . O X . . |
$$ | . . 1 . , O . . . |
$$ | . . . . . . . . . |
$$ | . . . . . . . . . |
$$ -------------------
- Click Here To Show Diagram Code
[go]$$Wc :w1: is creating a weak group
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$$ | . . . . . . . . . |
$$ | . . . . . . . . . |
$$ | . . , . , . , . . |
$$ | . . . X . O X . . |
$$ | . . . . , O X . . |
$$ | . . . X . O X . . |
$$ | . . 1 . , O . . . |
$$ | . . . . . . . . . |
$$ | . . . . . . . . . |
$$ -------------------[/go]
This was my move in the game, but a mistake of approximately 1 point. I think creating a separate group here is a poor choice. Actually, move
a from diagram 1 would have been the correct answer. I did consider
a, but was worried about black cutting. So my actual mistake was
not reading that black's cut would fail.
$$Wc What I should have read
$$ -------------------
$$ | . . . . . . . . . |
$$ | . . . . 6 4 . b . |
$$ | . . , a 3 2 1 5 . |
$$ | . . . X . O X . . |
$$ | . . . . , O X . . |
$$ | . . . X . O X . . |
$$ | . . , . , O 7 . . |
$$ | . . . . . . . . . |
$$ | . . . . . . . . . |
$$ -------------------
- Click Here To Show Diagram Code
[go]$$Wc What I should have read
$$ -------------------
$$ | . . . . . . . . . |
$$ | . . . . 6 4 . b . |
$$ | . . , a 3 2 1 5 . |
$$ | . . . X . O X . . |
$$ | . . . . , O X . . |
$$ | . . . X . O X . . |
$$ | . . , . , O 7 . . |
$$ | . . . . . . . . . |
$$ | . . . . . . . . . |
$$ -------------------[/go]
This is a sequence I should be able to read. Actually, it is not best play for either player, but it convinces me that black's cut fails. Caveats:
-
is not necessary. White could play somewhere else, like a, and still win the capturing race, although the complexity would be higher.
- Black could interpose a corner reduction at b before retreating to

-
could instead be played at b, to prevent the aforementioned corner reduction. This seems like a tesuji; is anyone familiar with it?
Actually, this cut did end up getting played later in a somewhat altered situation, which resulted in more mistakes during the game. But I believe those are redundant from a review perspective.
Diagram 3 - Endgame problem 1
$$Wc What is white's best endgame move?
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$$ | . . . . . . . X . |
$$ | . . . . . X X O . |
$$ | . a X . O X O O X |
$$ | . . e X X O X X . |
$$ | . O b d , O X f . |
$$ | . . c X . O X O . |
$$ | . . O X X O O . . |
$$ | . . O O X O . O . |
$$ | . . . X . . . . . |
$$ -------------------
- Click Here To Show Diagram Code
[go]$$Wc What is white's best endgame move?
$$ -------------------
$$ | . . . . . . . X . |
$$ | . . . . . X X O . |
$$ | . a X . O X O O X |
$$ | . . e X X O X X . |
$$ | . O b d , O X f . |
$$ | . . c X . O X O . |
$$ | . . O X X O O . . |
$$ | . . O O X O . O . |
$$ | . . . X . . . . . |
$$ -------------------[/go]
Endgame move suggestions for white are
a-
f, in policy order.
Diagram 4 - Second mistake
$$Wc White cedes the corner
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$$ | . . . . . . . X . |
$$ | . . . . . X X O . |
$$ | . 2 X . O X O O X |
$$ | . . . X X O X X . |
$$ | . O , . , O X . . |
$$ | . . 1 X . O X O . |
$$ | . . O X X O O . . |
$$ | . . O O X O . O . |
$$ | . . . X . . . . . |
$$ -------------------
- Click Here To Show Diagram Code
[go]$$Wc White cedes the corner
$$ -------------------
$$ | . . . . . . . X . |
$$ | . . . . . X X O . |
$$ | . 2 X . O X O O X |
$$ | . . . X X O X X . |
$$ | . O , . , O X . . |
$$ | . . 1 X . O X O . |
$$ | . . O X X O O . . |
$$ | . . O O X O . O . |
$$ | . . . X . . . . . |
$$ -------------------[/go]
I played

at
c as listed in diagram 3. I did consider playing
a in diagram 3, but I worried that white's stones would be too thin and black could exploit this somehow. Actually,
a was the correct answer, and there's no weakness. So my second mistake was
failing to read that black has no good attack on white.
$$Wc The wedge fails
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$$ | . . . . . . . X . |
$$ | . . . . . X X O . |
$$ | . 1 X . O X O O X |
$$ | . 2 a X X O X X . |
$$ | . O 3 b , O X . . |
$$ | . . . X . O X O . |
$$ | . . O X X O O . . |
$$ | . . O O X O . O . |
$$ | . . . X . . . . . |
$$ -------------------
- Click Here To Show Diagram Code
[go]$$Wc The wedge fails
$$ -------------------
$$ | . . . . . . . X . |
$$ | . . . . . X X O . |
$$ | . 1 X . O X O O X |
$$ | . 2 a X X O X X . |
$$ | . O 3 b , O X . . |
$$ | . . . X . O X O . |
$$ | . . O X X O O . . |
$$ | . . O O X O . O . |
$$ | . . . X . . . . . |
$$ -------------------[/go]
Although there are several possibilities to check, perhaps the most obvious idea for black is this wedge at

. But after

,
a and
b become miai to ruin black's day. So

is successful.
Diagram 5 - Endgame Problem 2
$$Wc What is white's best endgame move?
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$$ | . . . . . . . X . |
$$ | . . . . . X X O . |
$$ | . X X . O X O O X |
$$ | a c . X X O X X . |
$$ | . O e b , O X d . |
$$ | . . O X . O X O . |
$$ | . . O X X O O . . |
$$ | . . O O X O . O . |
$$ | . . . X . . . . . |
$$ -------------------
- Click Here To Show Diagram Code
[go]$$Wc What is white's best endgame move?
$$ -------------------
$$ | . . . . . . . X . |
$$ | . . . . . X X O . |
$$ | . X X . O X O O X |
$$ | a c . X X O X X . |
$$ | . O e b , O X d . |
$$ | . . O X . O X O . |
$$ | . . O X X O O . . |
$$ | . . O O X O . O . |
$$ | . . . X . . . . . |
$$ -------------------[/go]
Diagram 6 - Third mistake
$$Wc White wedges and connects
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$$ | . . . . . . . X . |
$$ | . . . . . X X O . |
$$ | . X X . O X O O X |
$$ | . . b X X O X X . |
$$ | . O 3 1 2 O X . . |
$$ | . a O X 4 O X O . |
$$ | . . O X X O O . . |
$$ | . . O O X O . O . |
$$ | . . . X . . . . . |
$$ -------------------
- Click Here To Show Diagram Code
[go]$$Wc White wedges and connects
$$ -------------------
$$ | . . . . . . . X . |
$$ | . . . . . X X O . |
$$ | . X X . O X O O X |
$$ | . . b X X O X X . |
$$ | . O 3 1 2 O X . . |
$$ | . a O X 4 O X O . |
$$ | . . O X X O O . . |
$$ | . . O O X O . O . |
$$ | . . . X . . . . . |
$$ -------------------[/go]
This is what I played in the game. It achieves two goals -- it connects the white stones, so that white will not need to play a future move at
a, and it also reduces black's liberties, so that
b may later be played in sente.
However, this is not the best sequence for white. Actually, the solution to diagram 5 was
c, a brilliant tesuji.
Diagram 7 - Shining tesuji
$$Wc Black has two weak points
$$ -------------------
$$ | . . . . . . . X . |
$$ | . . . . . X X O . |
$$ | a X X . O X O O X |
$$ | . 1 . X X O X X . |
$$ | . O . b , O X . . |
$$ | . . O X . O X O . |
$$ | . . O X X O O . . |
$$ | . . O O X O . O . |
$$ | . . . X . . . . . |
$$ -------------------
- Click Here To Show Diagram Code
[go]$$Wc Black has two weak points
$$ -------------------
$$ | . . . . . . . X . |
$$ | . . . . . X X O . |
$$ | a X X . O X O O X |
$$ | . 1 . X X O X X . |
$$ | . O . b , O X . . |
$$ | . . O X . O X O . |
$$ | . . O X X O O . . |
$$ | . . O O X O . O . |
$$ | . . . X . . . . . |
$$ -------------------[/go]
If white is allowed to follow up at
b, the presence of

coupled with black's shortage of liberties will allow white to start a ko fight to capture the black stones. Therefore black is likely to defend this cutting point. But then white will be able to play the sente corner reduction at
a, which is quite big.
Diagram 8 - Endgame problem 3
$$Wc What is white's best endgame move?
$$ -------------------
$$ | . . . . . . . X . |
$$ | . . . . . X X . X |
$$ | X X X X O X , . X |
$$ | O a O X X O X X . |
$$ | . O O O X O X O c |
$$ | . . O X X O X O . |
$$ | . . O X X O O . . |
$$ | . . O O X O . O . |
$$ | . . O X X b . . . |
$$ -------------------
- Click Here To Show Diagram Code
[go]$$Wc What is white's best endgame move?
$$ -------------------
$$ | . . . . . . . X . |
$$ | . . . . . X X . X |
$$ | X X X X O X , . X |
$$ | O a O X X O X X . |
$$ | . O O O X O X O c |
$$ | . . O X X O X O . |
$$ | . . O X X O O . . |
$$ | . . O O X O . O . |
$$ | . . O X X b . . . |
$$ -------------------[/go]
Move suggestions
a-
c are in policy order.
Diagram 9 - Fourth Mistake
$$Wc White can't connect now
$$ -------------------
$$ | . . . . . . . X . |
$$ | . . . . . X X . X |
$$ | X X X X O X , . X |
$$ | O 4 O X X O X X . |
$$ | a O O O X O X O 1 |
$$ | . . O X X O X O . |
$$ | . . O X X O O . . |
$$ | . . O O X O . O . |
$$ | . . O X X 2 3 . . |
$$ -------------------
- Click Here To Show Diagram Code
[go]$$Wc White can't connect now
$$ -------------------
$$ | . . . . . . . X . |
$$ | . . . . . X X . X |
$$ | X X X X O X , . X |
$$ | O 4 O X X O X X . |
$$ | a O O O X O X O 1 |
$$ | . . O X X O X O . |
$$ | . . O X X O O . . |
$$ | . . O O X O . O . |
$$ | . . O X X 2 3 . . |
$$ -------------------[/go]
This is the game sequence. At this point I realized that connecting at
a would allow black to invade the corner and create a seki. Evidently, I know this corner shape well enough to recognize the weakness once it appears, but not quite well enough to prevent it in advance. Naturally, the correct answer in diagram 8 would have been
a.