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Under the stones, anyone?

Posted: Sun Nov 17, 2013 11:12 pm
by Bill Spight
Here is a nice under the stones problem from Common Sense in Go (碁の常識) by Kubomatsu.
Click Here To Show Diagram Code
[go]$$Wc White to play
$$ ----------------
$$ . . . O X X . O |
$$ . . . O X X . O |
$$ . . . O . O X O |
$$ . . O . , O X . |
$$ . . . . . O X . |
$$ . . . . . O X . |
$$ . . . . . O X . |
$$ . . . . . O X O |
$$ . . . . . . O . |
$$ . . . . , . O . |
$$ . . . . . . . . |
$$ . . . . . . . . |[/go]
The four stone square of Black stones is a dead giveaway that this is an under the stones problem. ;) But there are a couple of niceties. :)

Enjoy!

Re: Under the stones, anyone?

Posted: Sun Nov 17, 2013 11:40 pm
by moyoaji
I'm thinking this.

Obviously black can't play like this...
Click Here To Show Diagram Code
[go]$$Wc Self-atari
$$ ----------------
$$ . . . O X X . O |
$$ . . . O X X 3 O |
$$ . . . O . O X O |
$$ . . O . , O X 4 |
$$ . . . . . O X . |
$$ . . . . . O X 2 |
$$ . . . . . O X 1 |
$$ . . . . . O X O |
$$ . . . . . . O . |
$$ . . . . , . O . |
$$ . . . . . . . . |
$$ . . . . . . . . |[/go]
Nor can black do this.
Click Here To Show Diagram Code
[go]$$Wc Black is still dead by bent 4.
$$ ----------------
$$ . . . O X X C O |
$$ . . . O X X 2 O |
$$ . . . O . O X O |
$$ . . O . , O X . |
$$ . . . . . O X 4 |
$$ . . . . . O X 3 |
$$ . . . . . O X 1 |
$$ . . . . . O X O |
$$ . . . . . . O 5 |
$$ . . . . , . O . |
$$ . . . . . . . . |
$$ . . . . . . . . |[/go]
Or this.
Click Here To Show Diagram Code
[go]$$Wc Self-atari again
$$ ----------------
$$ . . . O X X . O |
$$ . . . O X X 3 O |
$$ . . . O . O X O |
$$ . . O . , O X 4 |
$$ . . . . . O X 2 |
$$ . . . . . O X . |
$$ . . . . . O X 1 |
$$ . . . . . O X O |
$$ . . . . . . O . |
$$ . . . . , . O . |
$$ . . . . . . . . |
$$ . . . . . . . . |[/go]

But if black takes the stones white cannot capture the 4...
Click Here To Show Diagram Code
[go]$$Wc Self-atari
$$ ----------------
$$ . . . O C C 7 O |
$$ . . . O C 8 3 O |
$$ . . . O 5 O X O |
$$ . . O . , O X 6 |
$$ . . . . . O X . |
$$ . . . . . O X 2 |
$$ . . . . . O X C |
$$ . . . . . O X C |
$$ . . . . . . O 4 |
$$ . . . . , . O . |
$$ . . . . . . . . |
$$ . . . . . . . . |[/go]


So, how does white kill then? :-?

Like this:
Click Here To Show Diagram Code
[go]$$Wc Oh boy...
$$ ----------------
$$ . . . O X X . O |
$$ . . . O X X . O |
$$ . . . O . O X O |
$$ . . O . , O X . |
$$ . . . . . O X . |
$$ . . . . . O X 1 |
$$ . . . . . O X . |
$$ . . . . . O X O |
$$ . . . . . . O . |
$$ . . . . , . O . |
$$ . . . . . . . . |
$$ . . . . . . . . |[/go]
Click Here To Show Diagram Code
[go]$$Wc Self-ataris everywhere
$$ ----------------
$$ . . . O X X . O |
$$ . . . O X X 3 O |
$$ . . . O . O X O |
$$ . . O . , O X . |
$$ . . . . . O X 2 |
$$ . . . . . O X 1 |
$$ . . . . . O X . |
$$ . . . . . O X O |
$$ . . . . . . O . |
$$ . . . . , . O . |
$$ . . . . . . . . |
$$ . . . . . . . . |[/go]
Click Here To Show Diagram Code
[go]$$Wc So much dead shape
$$ ----------------
$$ . . . O X X . O |
$$ . . . O X X . O |
$$ . . . O . O X O |
$$ . . O . , O X 2 |
$$ . . . . . O X . |
$$ . . . . . O X 1 |
$$ . . . . . O X 3 |
$$ . . . . . O X O |
$$ . . . . . . O . |
$$ . . . . , . O . |
$$ . . . . . . . . |
$$ . . . . . . . . |[/go]
Click Here To Show Diagram Code
[go]$$Wc So much dead shape
$$ ----------------
$$ . . . O X X . O |
$$ . . . O X X 2 O |
$$ . . . O . O X O |
$$ . . O . , O X . |
$$ . . . . . O X . |
$$ . . . . . O X 1 |
$$ . . . . . O X 3 |
$$ . . . . . O X O |
$$ . . . . . . O . |
$$ . . . . , . O . |
$$ . . . . . . . . |
$$ . . . . . . . . |[/go]
There is only 1 sequence I can't figure out...
Click Here To Show Diagram Code
[go]$$Wc
$$ ----------------
$$ . . . O C 9 7 O |
$$ . . . O C 8 3 O |
$$ . . . O 5 O X O |
$$ . . O . , O X 6 |
$$ . . . . . O X . |
$$ . . . . . O X 1 |
$$ . . . . . O X 2 |
$$ . . . . . O X C |
$$ . . . . . . O 4 |
$$ . . . . , . O . |
$$ . . . . . . . . |
$$ . . . . . . . . |[/go]
Click Here To Show Diagram Code
[go]$$Bc
$$ ----------------
$$ . . . O 1 . 3 . |
$$ . . . O 6 X 2 4 |
$$ . . . O O O X 5 |
$$ . . O . , O X X |
$$ . . . . . O X . |
$$ . . . . . O X O |
$$ . . . . . O X X |
$$ . . . . . O X . |
$$ . . . . . . O X |
$$ . . . . , . O . |
$$ . . . . . . . . |
$$ . . . . . . . . |[/go]
Click Here To Show Diagram Code
[go]$$Bc Favorable ko for white
$$ ----------------
$$ . . . O C 4 X 1 |
$$ . . . O O X 2 3 |
$$ . . . O O O X X |
$$ . . O . , O X X |
$$ . . . . . O X . |
$$ . . . . . O X O |
$$ . . . . . O X X |
$$ . . . . . O X . |
$$ . . . . . . O X |
$$ . . . . , . O . |
$$ . . . . . . . . |
$$ . . . . . . . . |[/go]
Is this the best white can do?