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 Post subject: Frequent Yose Position - Which is the Better Move?
Post #1 Posted: Wed Nov 03, 2010 11:57 am 
Gosei
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I have a yose question about a frequent yose position. Below is an easy-to-understand tesuji for white:

Click Here To Show Diagram Code
[go]$$B
$$ --------------------
$$ . . . . 2 1 . . . .
$$ . . X X X O W . . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]

However, if we remove the marked stone, and assume the area on the right is white's territory, which is the better move for white: a or b?

Click Here To Show Diagram Code
[go]$$B
$$ --------------------
$$ . . . . b 1 a . . .
$$ . . X X X O . . . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]


With 'a', the game will obviously go like this:

Click Here To Show Diagram Code
[go]$$W
$$ --------------------
$$ . S S S 2 X 1 T T .
$$ . S X X X O 3 T T .
$$ X X O O O O T T T .
$$ . . . . . , . . . .[/go]

Counting the squares as positive points for black and the triangles as negative points for black, we get a tally of -3.

However, the throw-in seems more complicated:

Click Here To Show Diagram Code
[go]$$W B4 elsewhere
$$ --------------------
$$ . . . . 1 X 2 . . .
$$ . . X X X O . 3 . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]

Click Here To Show Diagram Code
[go]$$Wm5
$$ --------------------
$$ . . . 2 . X X 1 . .
$$ . . X X X O . O . .
$$ X X O O O O . a . .
$$ . . . . . , . . . .[/go]

Let's say that white does not need to worry about getting cut at 'a'. The value of playing first in this position seems rather low, so both players will probably play elsewhere. However, eventually this position will become the biggest place to play, and I can't figure out exactly what the value of this position is. It seems both players have too many options for whether to respond to their opponent's move or not. I'm still learning miai counting, and this position just blows me away.

So, can anyone show me which move (the block or the throw-in) produces a better result for white?

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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #2 Posted: Wed Nov 03, 2010 12:03 pm 
Gosei
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Didn't a similar position appear in a Malkovich game about a month ago?

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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #3 Posted: Wed Nov 03, 2010 12:03 pm 
Gosei
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Click Here To Show Diagram Code
[go]$$Wm5
$$ --------------------
$$ . . . 2 5 X X 1 . .
$$ . 4 X X X O 3 O . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]


Click Here To Show Diagram Code
[go]$$Wm5
$$ --------------------
$$ . . . X 8 6 7 O . .
$$ . X X X X O O O . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]


This seems like the best white could possibly get this way and by my count is one point worse than simply blocking.

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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #4 Posted: Wed Nov 03, 2010 12:08 pm 
Tengen
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final answer... below is the correct move.
Click Here To Show Diagram Code
[go]$$B
$$ --------------------
$$ . . . . 1 . . . . .
$$ . . X X X O W . . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]



and usually throwin will yield better result for white.
Click Here To Show Diagram Code
[go]$$B
$$ --------------------
$$ . . . . 2 1 . . . .
$$ . . X X X O . . . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]

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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #5 Posted: Wed Nov 03, 2010 1:53 pm 
Lives in gote

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If we assume the area on the right is white's territory, then W should be able to capture the B stones without a geta, since B runs out of liberties when he eventually hits some W stones or runs into the edge of the board:

Click Here To Show Diagram Code
[go]$$B
$$ --------------------
$$ . . . . 2 1 3 5 . .
$$ . . X X X O 4 6 . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]


But if B simply captures the W throw-in, W cannot block without risking ko:

Click Here To Show Diagram Code
[go]$$B
$$ --------------------
$$ . . . 3 . 1 4 . . .
$$ . . X X X O 5 . . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]


Assuming W is unwilling to risk this ko, this will be the result. The last two moves can be played later, but can be assumed sente for B. This result is several points better for W than the reference position, where W blocks immediately.

Click Here To Show Diagram Code
[go]$$B B has captured 1 stone
$$ --------------------
$$ . . . 3 . 1 6 . . .
$$ . 5 X X X O 4 . . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]


B actually does better to sacrifice a second stone:

Click Here To Show Diagram Code
[go]$$B
$$ --------------------
$$ . . . 5 . 1 3 6 . .
$$ . . X X X O 4 . . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]


This is the likely final position, after each side captures two stones. The final point count is the same as the reference position, where W blocks immediately.

Click Here To Show Diagram Code
[go]$$B
$$ --------------------
$$ . . . X X X O O . .
$$ . X X X X O O O . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]


Reference position:

Click Here To Show Diagram Code
[go]$$
$$ --------------------
$$ . . . . X X O . . .
$$ . . X X X O O . . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]


Suppose B just descends, presumably in sente. The final result is two points worse for B than the reference position.

Click Here To Show Diagram Code
[go]$$
$$ --------------------
$$ . . . . 1 2 . . .
$$ . . X X X O . . . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]


Conclusion (unless I am missing something) -- B should hane, W can either block or throw-in. If W throws-in, B should sacrifice two stones.


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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #6 Posted: Wed Nov 03, 2010 2:05 pm 
Gosei
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Thanks everyone! Chew Terr - I vaguely recall something like that, but I haven't followed Malkovich games for a long time, so I don't know for sure.

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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #7 Posted: Wed Nov 03, 2010 3:49 pm 
Lives in sente
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mitsun wrote:
Click Here To Show Diagram Code
[go]$$B
$$ --------------------
$$ . . . X X X O O . .
$$ . X X X X O O O . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]



This diagram is wrong. There is one white stone too much:

Click Here To Show Diagram Code
[go]$$B
$$ --------------------
$$ . . . X X X O O . .
$$ . X X X X O O . . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]


Therefore, this is one point better for White.

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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #8 Posted: Wed Nov 03, 2010 3:51 pm 
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mitsun wrote:
This is the likely final position, after each side captures two stones. The final point count is the same as the reference position, where W blocks immediately.

Click Here To Show Diagram Code
[go]$$B
$$ --------------------
$$ . . . X X X O O . .
$$ . X X X X O O W . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]




Where did the marked stone come from?

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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #9 Posted: Wed Nov 03, 2010 4:43 pm 
Honinbo

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OC, play depends upon the details of White's territory. This agrees with mitsun's analysis.



White's reverse sente gains 3 2/3 points. :)

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Last edited by Bill Spight on Thu Jul 04, 2013 5:43 pm, edited 1 time in total.
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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #10 Posted: Thu Nov 04, 2010 12:47 am 
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Harleqin wrote:
This diagram is wrong. There is one white stone too much ...
Thanks for the correction. The correct play makes more sense now -- B should hane, W should throw in, B should give up 2 stones. I refuse to count 1/3 points, so I will trust Bill on the value of the position :)

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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #11 Posted: Thu Nov 04, 2010 8:02 am 
Honinbo

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Small note:

It does not matter whether Black throws away two stones, three stones, or more, the final score will be the same. :)

Not so small note:

If Black captures the throw-in stone immediately, she should be able to win the ko. Therefore White should avoid the ko, and then the score will be the same as when Black extends instead. (Yose books generally assume that Black can win such kos. In this case, however, the loss of the ko is huge for Black. That is why extending is optimal for Black. The immediate capture assumes that Black can win the ko and that White will make a mistake.

Larger note:

Click Here To Show Diagram Code
[go]$$W B4 elsewhere
$$ --------------------
$$ . . . . 1 X 2 . . .
$$ . . X X X O . 3 . .
$$ X X O O O O . . . .
$$ . . . . . , . . . .[/go]


If :w3: is correct, then :w1: is wrong. :) White should atari at 2 instead.

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Last edited by Bill Spight on Thu Nov 04, 2010 8:18 am, edited 1 time in total.
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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #12 Posted: Thu Nov 04, 2010 8:16 am 
Gosei
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Chew Terr, You may be thinking of this position in my game vs tj86430:

Click Here To Show Diagram Code
[go]$$Bc
$$ | . . . . . . . O X . . . . . . . . . . |
$$ | . . . . . . O X . . . . . . . . X . . |
$$ | . . O . . . O X . . . . . . . . . X . |
$$ | . . . , . . O X . , . . . . . X X O . |
$$ | . . . O . O X . . X . . X X X O O O . |
$$ | . . . . O . X . . . . X O O O . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]


In the game, play went this way:

Click Here To Show Diagram Code
[go]$$Wc
$$ | . . . . . . . O X . . . . . . . . . . |
$$ | . . . . . . O X . . . . . . . . X . . |
$$ | . . O . . . O X . . . . . . . . . X . |
$$ | . . . , . . O X . , . . . . . X X O . |
$$ | . . . O . O X . . X . . X X X O O O . |
$$ | . . . . O . X . . . 2 X O O O . . . . |
$$ | . . . . . . . . . . 4 1 5 . . . . . . |
$$ ---------------------------------------[/go]


If I understand the thread correctly, it doesn't exactly fit this situation, because of the atari, as dusk eagle pointed out in my game:

Click Here To Show Diagram Code
[go]$$Wc
$$ | . . . . . . . O X . . . . . . . . . . |
$$ | . . . . . . O X . . . . . . . . X . . |
$$ | . . O . . . O X . . . . . . . . . X . |
$$ | . . . , . . O X . , . . . . . X X O . |
$$ | . . . O . O X . . X . . X X X O O O . |
$$ | . . . . O . X . . . 3 X O O O . . . . |
$$ | . . . . . . . . . . . 1 2 . . . . . . |
$$ ---------------------------------------[/go]


So it seems the best play there was this:

Click Here To Show Diagram Code
[go]$$Wc
$$ | . . . . . . . O X . . . . . . . . . . |
$$ | . . . . . . O X . . . . . . . . X . . |
$$ | . . O . . . O X . . . . . . . . . X . |
$$ | . . . , . . O X . , . . . . . X X O . |
$$ | . . . O . O X . . X . . X X X O O O . |
$$ | . . . . O . X . . . 2 X O O O . . . . |
$$ | . . . . . . . . . . . 1 4 . . . . . . |
$$ ---------------------------------------[/go]

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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #13 Posted: Thu Nov 04, 2010 8:19 am 
Gosei
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emeraldemon wrote:
Chew Terr, You may be thinking of this position in my game vs tj86430


That's the one, thanks! Not being able to remember was going to bother me. =) Now, to compare the two and try to see how much I can internalize to actually use. Endgame is hard.

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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #14 Posted: Thu Nov 04, 2010 8:41 am 
Honinbo

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Dusk Eagle asks about the value of this position:

Click Here To Show Diagram Code
[go]$$W
$$ --------------------
$$ . . . X . X X O . .
$$ . . X X X O . O . .
$$ X X O O O O . a . .
$$ . . . . . , O O O O[/go]


I have added some stones to make it clear that White has territory to the right and that there is no threat of a cut at "a".

Click Here To Show Diagram Code
[go]$$B Black first.
$$ --------------------
$$ . . . X 3 X X O . .
$$ . 1 X X X O 2 O . .
$$ X X O O O O . . . .
$$ . . . . . , O O O O[/go]


Let's count the final score as 0. :)

Click Here To Show Diagram Code
[go]$$W White first
$$ --------------------
$$ . . . X . X X O . .
$$ . . X X X O 1 O . .
$$ X X O O O O . . . .
$$ . . . . . , O O O O[/go]


:w1: is gote.

Now from this position suppose that Black plays first.

Click Here To Show Diagram Code
[go]$$B Black first
$$ --------------------
$$ . . . X 2 B X O . .
$$ . 1 X X X O O O . .
$$ X X O O O O . . . .
$$ . . . . . , O O O O[/go]


:b3: takes back.

The final score is -1, i. e., 1 point for White.

Now suppose that White plays first:

Click Here To Show Diagram Code
[go]$$W White first
$$ --------------------
$$ . . . X 1 B X O . .
$$ . . X X X O O O . .
$$ X X O O O O . . . .
$$ . . . . . , O O O O[/go]


Click Here To Show Diagram Code
[go]$$W Continued
$$ --------------------
$$ . . . X W 2 3 O . .
$$ . 4 X X X O O O . .
$$ X X O O O O . . . .
$$ . . . . . , O O O O[/go]


:w5: takes the ko.

If Black wins the ko the result is -1, if White wins the ko it is -2.

Click Here To Show Diagram Code
[go]$$W White follower
$$ --------------------
$$ . . . X . X X O . .
$$ . . X X X O O O . .
$$ X X O O O O . . . .
$$ . . . . . , O O O O[/go]


So the count of this position is -1 1/3. A play gains 1/3 point.

Click Here To Show Diagram Code
[go]$$W Original position
$$ --------------------
$$ . . . X . X X O . .
$$ . . X X X O . O . .
$$ X X O O O O . . . .
$$ . . . . . , O O O O[/go]


And the count of the original position is -2/3. A play gains 2/3 point.

:)

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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #15 Posted: Thu Nov 04, 2010 9:02 am 
Honinbo

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Here is what I get for the interesting position in emeraldemon's game:


Click Here To Show Diagram Code
[go]$$Wc
$$ | . . . . . . . O X . . . . . . . . . . |
$$ | . . . . . . O X . . . . . . . . X . . |
$$ | . . O . . . O X . . . . . . . . . X . |
$$ | . . . , . . O X . , . . . . . X X O . |
$$ | . . . O . O X . . X . . X X X O O O . |
$$ | . . . . O . X . . . 2 X O O O . . . . |
$$ | . . . . . . . . . . . 1 . . . . . . . |
$$ ---------------------------------------[/go]


:w1: is a 4 1/6 point sente (assuming that Black cannot stand the ko).

Click Here To Show Diagram Code
[go]$$Bc
$$ | . . . . . . . O X . . . . . . . . . . |
$$ | . . . . . . O X . . . . . . . . X . . |
$$ | . . O . . . O X . . . . . . . . . X . |
$$ | . . . , . . O X . , . . . . . X X O . |
$$ | . . . O . O X . . X . . X X X O O O . |
$$ | . . . . O . X . . . X X O O O . . . . |
$$ | . . . . . . . . . . . O 1 . . . . . . |
$$ ---------------------------------------[/go]


Next, :b1: (or a White play at 1) gains 1 5/6 points.

Click Here To Show Diagram Code
[go]$$Wc
$$ | . . . . . . . O X . . . . . . . . . . |
$$ | . . . . . . O X . . . . . . . . X . . |
$$ | . . O . . . O X . . . . . . . . . X . |
$$ | . . . , . . O X . , . . . . . X X O . |
$$ | . . . O . O X . . X . . X X X O O O . |
$$ | . . . . O . X . . . X X O O O . . . . |
$$ | . . . . . . . . . . . O X 1 . . . . . |
$$ ---------------------------------------[/go]


Next, :w1: (or a capture by Black) gains 1 1/3 points.

:)

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Last edited by Bill Spight on Thu Nov 04, 2010 10:56 am, edited 1 time in total.
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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #16 Posted: Thu Nov 04, 2010 9:08 am 
Tengen
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Bill Spight wrote:
:w1: is a 4 1/6 point sente (assuming that Black cannot stand the ko).
Next, :b1: (or a White play at 1) gains 1 5/6 points.
Next, :w1: (or a capture by Black) gains 1 1/3 points.


:arrow: :shock: :o :clap: :bow:


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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #17 Posted: Thu Nov 04, 2010 9:24 am 
Honinbo

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Bill Spight wrote:
Here is what I get for the interesting position in emeraldemon's game:


Click Here To Show Diagram Code
[go]$$Wc
$$ | . . . . . . . O X . . . . . . . . . . |
$$ | . . . . . . O X . . . . . . . . X . . |
$$ | . . O . . . O X . . . . . . . . . X . |
$$ | . . . , . . O X . , . . . . . X X O . |
$$ | . . . O . O X . . X . . X X X O O O . |
$$ | . . . . O . X . . . 2 X O O O . . . . |
$$ | . . . . . . . . . . . 1 . . . . . . . |
$$ ---------------------------------------[/go]


:w1: is a 4 1/6 point sente.


Oops! I goofed. :(

Click Here To Show Diagram Code
[go]$$Wc
$$ | . . . . . . . O X . . . . . . . . . . |
$$ | . . . . . . O X . . . . . . . . X . . |
$$ | . . O . . . O X . . . . . . . . . X . |
$$ | . . . , . . O X . , . . . . . X X O . |
$$ | . . . O . O X . . X . . X X X O O O . |
$$ | . . . . O . X . . 8 4 X O O O . . . . |
$$ | . . . . . . . . 6 5 3 1 2 7 . . . . . |
$$ ---------------------------------------[/go]


Black should throw in at :b2:. After :b8: the next play gains 1/3 (Black will capture the three White stones in the process).

So the sente is worth only 3 2/3 points.

Edit: I see that there are additional complications, but I have to run now.

OK, I'm back. :)

Well, I goofed all right, but not in the way that I thought.

Click Here To Show Diagram Code
[go]$$Wc
$$ | . . . . . . . O X . . . . . . . . . . |
$$ | . . . . . . O X . . . . . . . . X . . |
$$ | . . O . . . O X . . . . . . . . . X . |
$$ | . . . , . . O X . , . . . . . X X O . |
$$ | . . . O . O X . . X . 5 X X X O O O . |
$$ | . . . . O . X . . . 3 X O O O . . . . |
$$ | . . . . . . . . . . 4 1 2 . . . . . . |
$$ ---------------------------------------[/go]


On the assumption that I originally made, Black cannot stand this ko (which also arises if Black plays :b2: at :b4:). So I got the right answer the first time.

Let this be a lesson to me. ;) Just because you get the right answer doesn't mean you're right. Be thorough.

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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #18 Posted: Thu Nov 04, 2010 5:28 pm 
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You didn't show the variations when black plays first and white tenukis. Can't black go on to capture 3 stones in gote by exploiting the life&death issue of the corner? Doesn't that make it more than 4 1/6 points sente?

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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #19 Posted: Thu Nov 04, 2010 5:32 pm 
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Ok, on reflection I don't think black can capture any stones, but seems like black can gain a couple of extra points beyond the obvious ones, so still worth looking into the variations when black plays first and white tenukis.

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 Post subject: Re: Frequent Yose Position - Which is the Better Move?
Post #20 Posted: Thu Nov 04, 2010 5:42 pm 
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Ok, apologies for the multiple posts, but thought I should put some substance to my comments. Here is the best I can see for black playing first:

Click Here To Show Diagram Code
[go]$$Bc
$$ | . . . . . . . O X . . . . . . . . . . |
$$ | . . . . . . O X . . . . . . . . X . . |
$$ | . . O . . . O X . . . . . . . . . X 9 |
$$ | . . . , . . O X . , . . . . . X X O 7 |
$$ | . . . O . O X . . X . . X X X O O O 8 |
$$ | . . . . O . X . . . . X O O O . 6 . . |
$$ | . . . . . . . . . . . 5 1 3 4 . . 0 . |
$$ ---------------------------------------[/go]


(The final move is to avoid a seki.)

Note that black got the 7 move in sente here, which he doesn't get in most variations where white has played 5 first.

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