Prokovich game

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Joaz Banbeck
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Re: Prokovich game

Post by Joaz Banbeck »

gaius wrote:...

Still... isn't it amazing that we're already talking about black having to destroy white's center?


Yeah...until you consider that with 5 of the last 7 moves, black has been taking a narrow strip of territory on the north side, and virtually forcing white to take the center. I find the whole idea dubious.
By my count, white is at least even on the board, maybe slightly ahead. He now has more potential for additional territory than black. Then he has komi on top of that.

Anyway, I agree with Gaius for the next move. Almost anything else is suicidal.
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Joaz Banbeck
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Re: Prokovich game

Post by Joaz Banbeck »

Since this move seems so obvious, I'll take a swing at the next move:

Click Here To Show Diagram Code
[go]$$Wcm86
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X . . . . . X . . . . . . . |
$$ | . . . . . X O X X X . . . . X . . . . |
$$ | . . X , X O . . O O O . b 3 . , X . . |
$$ | . . . . X O . O . . . . . . a . . . . |
$$ | . . . X . X O . . . . . . . . . O . . |
$$ | . . . X . X O . . . . . . . . . . . . |
$$ | . . . X X . . . . . . . . . . . . . . |
$$ | . O O O O O O . . 1 . . . . . . O . . |
$$ | . X O O X X X X . , . . . . . , . . . |
$$ | . X X X X . . . . . . . . . . . . . . |
$$ | . . . . O . . . . . . . . . . . O . . |
$$ | . . . . . . O 2 . . . . . . . O . . . |
$$ | . . . . . . . X . . . . X . X X O . . |
$$ | . . . O . O O X . . X . . . . O X . . |
$$ | . . . O . X X O X . . O X . . O . . . |
$$ | . . O X X . . O . X X O . X . . O . . |
$$ | . . O . . . O . O O X . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]


Black has two decent moves at 'a' and 'b'. This inhibits both, and gets territory, and - I think - threatens to invade the corner.
EDIT: I might be wrong about the corner.
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gaius
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Re: Prokovich game

Post by gaius »

^ Hmmm, interesting, but I'm not sure if I like that. This aji seems kind of annoying to leave behind:
Click Here To Show Diagram Code
[go]$$Wcm86
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X . . . . . X . . . . . . . |
$$ | . . . . . X O X X X . . . . X . . . . |
$$ | . . X , X O . . O O O . . 3 . , X . . |
$$ | . . . . X O . O . . . . . . . . . . . |
$$ | . . . X . X O . . . . . . . . 6 O . . |
$$ | . . . X . X O . . . . . . . . . . . . |
$$ | . . . X X . . . . . . . . . . 4 5 . . |
$$ | . O O O O O O . . 1 . . . . . . O . . |
$$ | . X O O X X X X . , . . . . . , . . . |
$$ | . X X X X . . . . . . . . . . . . . . |
$$ | . . . . O . . . . . . . . . . . O . . |
$$ | . . . . . . O 2 . . . . . . . O . . . |
$$ | . . . . . . . X . . . . X . X X O . . |
$$ | . . . O . O O X . . X . . . . O X . . |
$$ | . . . O . X X O X . . O X . . O . . . |
$$ | . . O X X . . O . X X O . X . . O . . |
$$ | . . O . . . O . O O X . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]

Therefore, why not just go for the "obvious" move? If black 'a' next, then white just crosscuts at 'b'; I don't see a problem.
Click Here To Show Diagram Code
[go]$$Wcm86
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X . . . . . X . . . . . . . |
$$ | . . . . . X O X X X . . . . X . . . . |
$$ | . . X , X O . . O O O . . b . , X . . |
$$ | . . . . X O . O . . . . . a 3 . . . . |
$$ | . . . X . X O . . . . . . . . . O . . |
$$ | . . . X . X O . . . . . . . . . . . . |
$$ | . . . X X . . . . . . . . . . . . . . |
$$ | . O O O O O O . . 1 . . . . . . O . . |
$$ | . X O O X X X X . , . . . . . , . . . |
$$ | . X X X X . . . . . . . . . . . . . . |
$$ | . . . . O . . . . . . . . . . . O . . |
$$ | . . . . . . O 2 . . . . . . . O . . . |
$$ | . . . . . . . X . . . . X . X X O . . |
$$ | . . . O . O O X . . X . . . . O X . . |
$$ | . . . O . X X O X . . O X . . O . . . |
$$ | . . O X X . . O . X X O . X . . O . . |
$$ | . . O . . . O . O O X . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
My name is Gijs, from Utrecht, NL.

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Re: Prokovich game

Post by mitsun »

The suggested B move at (a) is great shape, but I don't think B can afford to play so slowly. I like the large move (b) in the upper right, which B prepared with his previous move. If B really needs to worry about the large group on the left, why not defend by taking territory at (c)? Maybe even (d) if it works (requires reading).

Click Here To Show Diagram Code
[go]$$B
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X . . . . . X . . . . . . . |
$$ | . . . . . X O X X X . . . . X . . . . |
$$ | . . X , X O . . O O O . b . . , X . . |
$$ | . . . . X O . O . . . . . . . . . . . |
$$ | . . . X . X O . . . . . . . . . O . . |
$$ | . . . X . X O . . . . . . . . . . . . |
$$ | . . . X X . . . . . . . . . . . . . . |
$$ | . O O O O O O . . O . . . . . . O . . |
$$ | . X O O X X X X . , . . . . . , . . . |
$$ | . X X X X . . . . . . . . . . . . . . |
$$ | . . . . O . . . . . . . . . . . O . . |
$$ | . . . . . . O a . . . . . . . O . . . |
$$ | . . c . . . . X . . . . X . X X O . . |
$$ | . d . O . O O X . . X . . . . O X . . |
$$ | . . . O . X X O X . . O X . . O . . . |
$$ | . . O X X . . O . X X O . X . . O . . |
$$ | . . O . . . O . O O X . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
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dfan
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Re: Prokovich game

Post by dfan »

Joaz won't believe it, but:

Click Here To Show Diagram Code
[go]$$Bcm87 ACTUAL GAME: Move 87. Points from prisoners: B 2
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X . . . . . X . . . . . . . |
$$ | . . . . . X O X X X . . . . X . . . . |
$$ | . . X , X O . . O O O . . . . , X . . |
$$ | . . . . X O . O . . . . . . 1 . . . . |
$$ | . . . X . X O . . . . . . . . . O . . |
$$ | . . . X . X O . . . . . . . . . . . . |
$$ | . . . X X . . . . . . . . . . . . . . |
$$ | . O O O O O O . . O . . . . . . O . . |
$$ | . X O O X X X X . , . . . . . , . . . |
$$ | . X X X X . . . . . . . . . . . . . . |
$$ | . . . . O . . . . . . . . . . . O . . |
$$ | . . . . . . O . . . . . . . . O . . . |
$$ | . . . . . . . X . . . . X . X X O . . |
$$ | . . . O . O O X . . X . . . . O X . . |
$$ | . . . O . X X O X . . O X . . O . . . |
$$ | . . O X X . . O . X X O . X . . O . . |
$$ | . . O . . . O . O O X . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
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Joaz Banbeck
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Re: Prokovich game

Post by Joaz Banbeck »

dfan wrote:Joaz won't believe it, but:
...


Actually I will. My proposed :w88: was so strong that black had to go there first. :D

Seriously, it does makes sense if black has read out the extension from his left side group down the left side and concluded that he can get two eyes. If black is counting on that, then white, for his next move, can take the lower left corner, and it will be sente.

So, I predict:

Click Here To Show Diagram Code
[go]$$Wcm88 Prediction Move 88. Points from prisoners: B 2
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X . . . . . X . . . . . . . |
$$ | . . . . . X O X X X . . . . X . . . . |
$$ | . . X , X O . . O O O . . . . , X . . |
$$ | . . . . X O . O . . . . . . X . . . . |
$$ | . . . X . X O . . . . . . . . . O . . |
$$ | . . . X . X O . . . . . . . . . . . . |
$$ | . . . X X . . . . . . . . . . . . . . |
$$ | . O O O O O O . . O . . . . . . O . . |
$$ | . X O O X X X X . , . . . . . , . . . |
$$ | . X X X X . . . . . . . . . . . . . . |
$$ | . . . . O . . . . . . . . . . . O . . |
$$ | . 1 . . . . O . . . . . . . . O . . . |
$$ | . . . . . . . X . . . . X . X X O . . |
$$ | . . . O . O O X . . X . . . . O X . . |
$$ | . . . O . X X O X . . O X . . O . . . |
$$ | . . O X X . . O . X X O . X . . O . . |
$$ | . . O . . . O . O O X . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
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dfan
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Re: Prokovich game

Post by dfan »

:)

Click Here To Show Diagram Code
[go]$$Wcm88 ACTUAL GAME: Move 88. Points from prisoners: B 2
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X . . . . . X . . . . . . . |
$$ | . . . . . X O X X X . . . . X . . . . |
$$ | . . X , X O . . O O O . . . . , X . . |
$$ | . . . . X O . O . . . . . . X . . . . |
$$ | . . . X . X O . . . . . . . . . O . . |
$$ | . . . X . X O . . . . . . . . . . . . |
$$ | . . . X X . . . . . . . . . . . . . . |
$$ | . O O O O O O . . O . . . . . . O . . |
$$ | . X O O X X X X . , . . . . . , . . . |
$$ | . X X X X . . . . . . . . . . . . . . |
$$ | . . . . O . . . . . . . . . . . O . . |
$$ | . 1 . . . . O . . . . . . . . O . . . |
$$ | . . . . . . . X . . . . X . X X O . . |
$$ | . . . O . O O X . . X . . . . O X . . |
$$ | . . . O . X X O X . . O X . . O . . . |
$$ | . . O X X . . O . X X O . X . . O . . |
$$ | . . O . . . O . O O X . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
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Joaz Banbeck
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Re: Prokovich game

Post by Joaz Banbeck »

Wait! That is too fast. Two posts in less than two hours? :sad:
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Re: Prokovich game

Post by Kirby »

Click Here To Show Diagram Code
[go]$$Wcm88 My prediction
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X . . . . . X . . . . . . . |
$$ | . . . . . X O X X X . . . . X . . . . |
$$ | . . X , X O . . O O O . . . . , X . . |
$$ | . . . . X O . O . . . . . . X . . . . |
$$ | . . . X . X O . . . . . . . . . O . . |
$$ | . . . X . X O . . . . . . . . . . . . |
$$ | . . . X X . . . . . . . . . . . . . . |
$$ | . O O O O O O . . O . . . . . . O . . |
$$ | . X O O X X X X . , . . . . . , . . . |
$$ | . X X X X . . . . . . . . . . . . . . |
$$ | . . . . O . . . . . . . . . . . O . . |
$$ | . O . . . . O B . . . . . . . O . . . |
$$ | . . . . . . . X . . . . X . X X O . . |
$$ | . . . O . O O X . . X . . . . O X . . |
$$ | . . . O . X X O X . . O X . . O . . . |
$$ | . . O X X . . O . X X O . X . . O . . |
$$ | . . O . . . O . O O X . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
be immersed
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Joaz Banbeck
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Re: Prokovich game

Post by Joaz Banbeck »

I agree with Kirby. Now he really has to play H7.


Wait...I said that last time... :-?
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dfan
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Re: Prokovich game

Post by dfan »

Fine, fine, you can have your H7.

Click Here To Show Diagram Code
[go]$$Bcm89 ACTUAL GAME: Move 89. Points from prisoners: B 2
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X . . . . . X . . . . . . . |
$$ | . . . . . X O X X X . . . . X . . . . |
$$ | . . X , X O . . O O O . . . . , X . . |
$$ | . . . . X O . O . . . . . . X . . . . |
$$ | . . . X . X O . . . . . . . . . O . . |
$$ | . . . X . X O . . . . . . . . . . . . |
$$ | . . . X X . . . . . . . . . . . . . . |
$$ | . O O O O O O . . O . . . . . . O . . |
$$ | . X O O X X X X . , . . . . . , . . . |
$$ | . X X X X . . . . . . . . . . . . . . |
$$ | . . . . O . . . . . . . . . . . O . . |
$$ | . O . . . . O 1 . . . . . . . O . . . |
$$ | . . . . . . . X . . . . X . X X O . . |
$$ | . . . O . O O X . . X . . . . O X . . |
$$ | . . . O . X X O X . . O X . . O . . . |
$$ | . . O X X . . O . X X O . X . . O . . |
$$ | . . O . . . O . O O X . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
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Joaz Banbeck
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Re: Prokovich game

Post by Joaz Banbeck »

dfan wrote:...
Click Here To Show Diagram Code
[go]$$Bcm89 ACTUAL GAME: Move 89. Points from prisoners: B 2
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X . . . . . X . . . . . . . |
$$ | . . . . . X O X X X . . . . X . . . . |
$$ | . . X , X O . . O O O . . . . , X . . |
$$ | . . . . X O . O . . . . . . X . . . . |
$$ | . . . X . X O . . . . . . . . . O . . |
$$ | . . . X . X O . . . . . . . . . . . . |
$$ | . . . X X . . . . . . . . . . . . . . |
$$ | . O O O O O O . . O . . . . . . O . . |
$$ | . X O O X X X X . , . . . . . , . . . |
$$ | . X X X X . . . . . . . . . . . . . . |
$$ | . . . . O . . . . . . . . . . . O . . |
$$ | . O . . . . O 1 . . . . . . . O . . . |
$$ | . . . . . . . X . . . . X . X X O . . |
$$ | . . . O . O O X . . X . . . . O X . . |
$$ | . . . O . X X O X . . O X . . O . . . |
$$ | . . O X X . . O . X X O . X . . O . . |
$$ | . . O . . . O . O O X . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]


Ok, we now have solid evidence that H7 is necessary. It is, as Gaius described it, the 'slowest move ever', and black would not play it unless he had to. This gives white some leverage. If black has to survive by connecting, then any threat by white to break that connection is a virtually free move.

One of white's minor concerns is that now black can play this:

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

( and there will come a time when the temperature drops so low that a 6-point gote move is big )

White can prevent that with this:

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

...which is, of course, sente - threatening to play 'a'.

An auxilliary concern for white is that in the course of the next few moves, there may be something like this played:

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


...in which case G8 would no longer be sente to kill, but merely an annoying reduction.

So white has a move that is worth a few points, and is currently a lethally strong sente move but may soon become a modest sente move. He should take it now.


Click Here To Show Diagram Code
[go]$$Bcm89 My prediction
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X . . . . . X . . . . . . . |
$$ | . . . . . X O X X X . . . . X . . . . |
$$ | . . X , X O . . O O O . . . . , X . . |
$$ | . . . . X O . O . . . . . . X . . . . |
$$ | . . . X . X O . . . . . . . . . O . . |
$$ | . . . X . X O . . . . . . . . . . . . |
$$ | . . . X X . . . . . . . . . . . . . . |
$$ | . O O O O O O . . O . . . . . . O . . |
$$ | . X O O X X X X . , . . . . . , . . . |
$$ | . X X X X . . . . . . . . . . . . . . |
$$ | . . . . O . 2 . . . . . . . . . O . . |
$$ | . O . . . . O 1 . . . . . . . O . . . |
$$ | . . . . . . . X . . . . X . X X O . . |
$$ | . . . O . O O X . . X . . . . O X . . |
$$ | . . . O . X X O X . . O X . . O . . . |
$$ | . . O X X . . O . X X O . X . . O . . |
$$ | . . O . . . O . O O X . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
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dfan
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Re: Prokovich game

Post by dfan »

Indeed, it is so.

Click Here To Show Diagram Code
[go]$$Wcm90 ACTUAL GAME: Move 90. Points from prisoners: B 2
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X . . . . . X . . . . . . . |
$$ | . . . . . X O X X X . . . . X . . . . |
$$ | . . X , X O . . O O O . . . . , X . . |
$$ | . . . . X O . O . . . . . . X . . . . |
$$ | . . . X . X O . . . . . . . . . O . . |
$$ | . . . X . X O . . . . . . . . . . . . |
$$ | . . . X X . . . . . . . . . . . . . . |
$$ | . O O O O O O . . O . . . . . . O . . |
$$ | . X O O X X X X . , . . . . . , . . . |
$$ | . X X X X . . . . . . . . . . . . . . |
$$ | . . . . O . 1 . . . . . . . . . O . . |
$$ | . O . . . . O X . . . . . . . O . . . |
$$ | . . . . . . . X . . . . X . X X O . . |
$$ | . . . O . O O X . . X . . . . O X . . |
$$ | . . . O . X X O X . . O X . . O . . . |
$$ | . . O X X . . O . X X O . X . . O . . |
$$ | . . O . . . O . O O X . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
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Joaz Banbeck
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Re: Prokovich game

Post by Joaz Banbeck »

BUMP

I haven't had time to look at this because I'm doing income taxes. Is everybody doing taxes? :shock:
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Harleqin
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Re: Prokovich game

Post by Harleqin »

I think this :b1: is natural:

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


Perhaps :w2: is not a good idea, so White has to play like this instead:

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


or like this:

Click Here To Show Diagram Code
[go]$$Bc
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X . . . . . X . . . . . . . |
$$ | . . . . . X O X X X . . . . X . . . . |
$$ | . . X , X O . . O O O . . . . , X . . |
$$ | . . . . X O . O . . . . . . X . . . . |
$$ | . . . X . X O . . . . . . . . . O . . |
$$ | . . . X . X O . . . . . . . . . . . . |
$$ | . . . X X . . . . . . . . . . . . . . |
$$ | . O O O O O O . 2 O 4 . . . . . O . . |
$$ | . X O O X X X X 3 1 . . . . . , . . . |
$$ | . X X X X . . . . . . . . . . . . . . |
$$ | . . . . O . W . . . . . . . . . O . . |
$$ | . O . . . . O X . . . . . . . O . . . |
$$ | . . . . . . . X . . . . X . X X O . . |
$$ | . . . O . O O X . . X . . . . O X . . |
$$ | . . . O . X X O X . . O X . . O . . . |
$$ | . . O X X . . O . X X O . X . . O . . |
$$ | . . O . . . O . O O X . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
A good system naturally covers all corner cases without further effort.
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