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A cute one for the Fourth
http://www.lifein19x19.com/viewtopic.php?f=48&t=8647		 Page 1 of 1
Author:  Bill Spight [ Thu Jul 04, 2013 7:46 pm ]
Post subject:  A cute one for the Fourth
One of my old problems, which some people will recall. :)

Click Here To Show Diagram Code
[go]$$Wc White to play and win
$$ ---------------
$$ | . . . . . . . |
$$ | . O O O O O . |
$$ | . O X . X O O |
$$ | O X X . X . . |
$$ | O X . X . X . |
$$ | O X X . X X . |
$$ | . . . . . . . |
$$ ---------------[/go]


No komi.

Enjoy!
Author:  NoSkill [ Thu Jul 04, 2013 8:09 pm ]
Post subject:  Re: A cute one for the Fourth
Click Here To Show Diagram Code
[go]$$Wc White to play and win
$$ ---------------
$$ | . . . . . . . |
$$ | . O O O O O . |
$$ | . O X 3 X O O |
$$ | O X X . X . . |
$$ | O X . X . X 1 |
$$ | O X X . X X 2 |
$$ | . . . . . . . |
$$ ---------------[/go]
Author:  Bill Spight [ Sat Jul 06, 2013 5:58 am ]
Post subject:  Re: A cute one for the Fourth
NoSkill wrote:
Click Here To Show Diagram Code
[go]$$Wc White to play and win
$$ ---------------
$$ | . . . . . . . |
$$ | . O O O O O . |
$$ | . O X 3 X O O |
$$ | O X X . X . . |
$$ | O X . X . X 1 |
$$ | O X X . X X 2 |
$$ | . . . . . . . |
$$ ---------------[/go]


Why did you stop at that point?
Author:  NoSkill [ Sat Jul 06, 2013 9:33 am ]
Post subject:  Re: A cute one for the Fourth
Bill Spight wrote:
NoSkill wrote:
Click Here To Show Diagram Code
[go]$$Wc White to play and win
$$ ---------------
$$ | . . . . . . . |
$$ | . O O O O O . |
$$ | . O X 3 X O O |
$$ | O X X . X . . |
$$ | O X . X . X 1 |
$$ | O X X . X X 2 |
$$ | . . . . . . . |
$$ ---------------[/go]


Why did you stop at that point?

No way for black really from there
Author:  Bill Spight [ Sat Jul 06, 2013 10:26 am ]
Post subject:  Re: A cute one for the Fourth
NoSkill wrote:
Bill Spight wrote:
NoSkill wrote:
Click Here To Show Diagram Code
[go]$$Wc White to play and win
$$ ---------------
$$ | . . . . . . . |
$$ | . O O O O O . |
$$ | . O X 3 X O O |
$$ | O X X . X . . |
$$ | O X . X . X 1 |
$$ | O X X . X X 2 |
$$ | . . . . . . . |
$$ ---------------[/go]


Why did you stop at that point?

No way for black really from there


True enough. :) But I was hoping that you would refer to the miai. The board is not scorable, but play is essentially over.

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


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


If instead :b4: then :w1: .

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


If instead :w4: then :b1: .
Author:  Kirby [ Sat Jul 06, 2013 8:03 pm ]
Post subject:  Re: A cute one for the Fourth
Good problem, Bill. I have to ask, though... Why are so many of your problems "cute"?
Author:  Bill Spight [ Sat Jul 06, 2013 10:18 pm ]
Post subject:  Re: A cute one for the Fourth
Kirby wrote:
Good problem, Bill. I have to ask, though... Why are so many of your problems "cute"?


Because they are small with funny wrinkles. ;)
Author:  Bill Spight [ Sun Jul 07, 2013 9:19 am ]
Post subject:  Re: A cute one for the Fourth
Click Here To Show Diagram Code
[go]$$Wc White to play and win
$$ ---------------
$$ | . . . . . . . |
$$ | . O O O O O . |
$$ | . O X a X O O |
$$ | O X X . X . . |
$$ | O X . X . X b |
$$ | O X X . X X . |
$$ | . . . . . . . |
$$ ---------------[/go]


The cute wrinkle here is that "a" and "b" look like miai, familiar gote plays that gain 1/2 point each.

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


The wrinkle is that "a" and "b" are not independent. They form a combination that gains more than 1/2. In fact, it gains 7/12.

Click Here To Show Diagram Code
[go]$$Bc Black first
$$ ---------------
$$ | . . . . . . . |
$$ | . O O O O O . |
$$ | . O X 1 X O O |
$$ | O X X a X . . |
$$ | O X . X . X b |
$$ | O X X . X X c |
$$ | . . . . . . . |
$$ ---------------[/go]


:b1: makes 1 pt. at "a" and leaves the 1/2 pt. gote at "b", so that we count "c" as 1/2 pt. The sum of the two is 1.5 pt. (for Black).

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


In this combination :w3: does not connect, but returns to the center. There is a hidden ko in the right side, worth 1/3 pt. (for Black).

Click Here To Show Diagram Code
[go]$$Bc Black follow-up
$$ ---------------
$$ | . . . . . . . |
$$ | . O O O O O . |
$$ | . O X O X O O |
$$ | O X X 3 X 2 1 |
$$ | O X . X . X W |
$$ | O X X . X X X |
$$ | . . . . . . . |
$$ ---------------[/go]

:w4: @ :wc:

After :b1: takes :wc: , :w2: forces :b3: . Then :w4: takes :b1: .

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


The exchange of the two stones cancels out. The ko stone, :wc: , is worth 1/3 pt. to Black.

For the White follow-up White simply connects, gaining 1/3 pt. for a count of 0.

The original count of that region is 11/12 for Black. Black to play gains 7/12, for a count of 1.5. White to play gains 7/12, for a count of 1/3.
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