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The nearly minimal problem
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Author:  fanfan [ Sun Dec 21, 2014 5:59 am ]
Post subject:  The nearly minimal problem

Hello,

For many (many) years, i ask beginners to solve the following problem, that I call "the nearly minimal problem": on an empty goban, Black plays at the 1-1 point, then White tries to make a living group with a white stone on the 1-1 (the word "with" is important).

Click Here To Show Diagram Code
[go]$$B
$$ ------------
$$ | 1 . . . . .
$$ | . . . . . .
$$ | . . . . . .
$$ | . . . . . .
$$ | . . . . . .
$$ | . . . . . .[/go]


Easy?

Author:  EdLee [ Sun Dec 21, 2014 6:03 am ]
Post subject: 

Hi fanfan, Does B resist or pass forever when W moves each time ?
If B passes forever after :b1: :
Click Here To Show Diagram Code
[go]$$B :w10: at :b1:
$$ --------------
$$ | 1 O . O . O .
$$ | O O O O O O .
$$ | . . . . . . .
$$ | . . . . . . .[/go]

Author:  fanfan [ Sun Dec 21, 2014 6:09 am ]
Post subject:  Re: The nearly minimal problem

Of course, Black replies and tries to kill White.

Author:  EdLee [ Sun Dec 21, 2014 6:16 am ]
Post subject: 

fanfan wrote:
Of course, Black replies and tries to kill White.
Thanks for clarifying. The "of course" part was not obvious, since for raw beginners, we sometimes "pass forever" to teach them some things.

If B resists, it's not obvious to me this can be done, nor does this appear to be a problem for raw beginners.

Just to be very clear, when you say beginners, do you mean they know only the most basic rules ? Do they "know" about ladders ? Do they "know" about real eyes and false eyes ? Please clarify.

Author:  fanfan [ Sun Dec 21, 2014 6:28 am ]
Post subject:  Re: The nearly minimal problem

Hello,

I ask beginners to solve this problem just to train them. But you are right : this is a difficult problem.

Here, my aim is to determine who will win the figth since I am not sure myself to be able to solve this problem.

Author:  EdLee [ Sun Dec 21, 2014 6:32 am ]
Post subject: 

fanfan wrote:
I am not sure myself to be able to solve this problem.
Hi fanfan, I feel it's important and fair to warn the "beginners" you don't know if this problem has a solution. :)

Also, I don't think this is appropriate for raw beginners. :)

Author:  MMaestro [ Sun Dec 21, 2014 12:52 pm ]
Post subject:  Re: The nearly minimal problem

When I was running my club before, I used to have a friend who would teach beginners in a similar way, except he would play on the 2-1 point, not the 1-1. I think for the 1-1 point, white can simply play the 2-2 point and keep extending each time black pushes. But for the 2-1 point, the shoulderhit is more difficult because black's pushes actually gain eyespace

Author:  Bill Spight [ Sun Dec 21, 2014 2:35 pm ]
Post subject:  Re: The nearly minimal problem

fanfan wrote:
Hello,

For many (many) years, i ask beginners to solve the following problem, that I call "the nearly minimal problem": on an empty goban, Black plays at the 1-1 point, then White tries to make a living group with a white stone on the 1-1 (the word "with" is important).

Click Here To Show Diagram Code
[go]$$B
$$ ------------
$$ | 1 . . . . .
$$ | . . . . . .
$$ | . . . . . .
$$ | . . . . . .
$$ | . . . . . .
$$ | . . . . . .[/go]




Why?

Author:  fanfan [ Mon Dec 22, 2014 4:42 am ]
Post subject:  Re: The nearly minimal problem

MMaestro wrote:
... for the 1-1 point, white can simply play the 2-2 point and keep extending each time black pushes...


If White plays on the 2-2 point, Black plays at the 3-3 point, and it is not obvious that White can take the 1-1 and play at the 1-1 later without dying. For instance:

Click Here To Show Diagram Code
[go]$$B
$$ ------------
$$ | 1 6 . . . .
$$ | . 2 5 . . .
$$ | . 4 3 . . .
$$ | . 7 . . . .
$$ | . . . . . .
$$ | . . . . . .[/go]

Author:  fanfan [ Mon Dec 22, 2014 4:44 am ]
Post subject:  Re: The nearly minimal problem

Bill Spight wrote:
Why?


This is just a problem that could be of some interest.

Author:  Uberdude [ Mon Dec 22, 2014 4:49 am ]
Post subject:  Re: The nearly minimal problem

I could just about understand you posing that problem to teach Batoo, the Korean baduk variant that adds Starcraft-style visuals and bonus points for occupying certain squares, but what's the point for Go? Do you find it engages and encourages beginners, teaching them useful Go skills? Because I'm a 4d so pretty good at Go compared to a beginner but after my initial "WTF?!" struggle with that problem.

I think this is a better minimal problem for beginners:

Click Here To Show Diagram Code
[go]$$B Black to play and capture a stone
$$ ------------
$$ | . . . . . .
$$ | . . . . . .
$$ | . . . X . .
$$ | . . X O . .
$$ | . . . X . .
$$ | . . . . . .[/go]

Author:  fanfan [ Mon Dec 22, 2014 5:05 am ]
Post subject:  Re: The nearly minimal problem

Uberdude wrote:
Do you find it engages and encourages beginners...


Forget the word "Beginners". I used the term just to introduce the problem. I agree that it is not the first thing to show to a beginner.

Author:  PeterN [ Mon Dec 22, 2014 5:26 am ]
Post subject:  Re: The nearly minimal problem

My first instinct on looking at this was to laugh and think it was easy... then I thought about it a bit more and went :scratch:.

I'm suspecting this may be a situation where the only winning move is not to play :lol: (or tenuki at least).

And yes I know that completely avoids the question.

PeterN

Author:  Charlie [ Mon Dec 22, 2014 7:38 am ]
Post subject:  Re: The nearly minimal problem

Er... I still don't get it. For instance, the problem doesn't say that you have to capture the black stone, only make a living group that happens to have a stone at 1-1. I'm fairly certain white can make life after this :w6: ...

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

Author:  oca [ Mon Dec 22, 2014 9:13 am ]
Post subject:  Re: The nearly minimal problem

that's a fail so far for me :blackeye:

Author:  fanfan [ Mon Dec 22, 2014 11:27 am ]
Post subject:  Re: The nearly minimal problem

Charlie wrote:
Er... I still don't get it. For instance, the problem doesn't say that you have to capture the black stone, only make a living group that happens to have a stone at 1-1...


How do you expect to put a white stone on the 1-1 without capturing the black stone which is already on the 1-1?

Author:  fanfan [ Mon Dec 22, 2014 11:38 am ]
Post subject:  Re: The nearly minimal problem

@Charlie

Click Here To Show Diagram Code
[go]$$B
$$ ------------
$$ | 1 . . . . .
$$ | . 2 5 . . .
$$ | . 4 3 . . .
$$ | . 7 6 . . .
$$ | . . . . . .
$$ | . . . . . .[/go]


@oca

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

Author:  MMaestro [ Mon Dec 22, 2014 2:24 pm ]
Post subject:  Re: The nearly minimal problem

@fanfan:

For that position you end up with, I recommend looking at gengen gokyo

http://eidogo.com/#4rmBZ5MFq

Author:  fanfan [ Mon Dec 22, 2014 3:31 pm ]
Post subject:  Re: The nearly minimal problem

Hello,

Don't forget that White has to fill the 1-1 point with a white stone to claim victory. That means that if White just try to live on the edge, he has to make 3 eyes (the one at the 1-1 point that he will fill, and two other eyes to live)!

Author:  MMaestro [ Mon Dec 22, 2014 4:16 pm ]
Post subject:  Re: The nearly minimal problem

Ah I didn't catch that. In that case though, the 3-3 point seems fine:

http://eidogo.com/#Coif89KX

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