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One of my old problems
http://www.lifein19x19.com/viewtopic.php?f=15&t=3124
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Author:  Bill Spight [ Thu Feb 03, 2011 9:09 am ]
Post subject:  One of my old problems

Here is another problem that some people would find easy. It is smaller than the previous one, but trickier.

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


White to play and win.

Enjoy! :)

Feedback still appreciated. :)

Author:  Magicwand [ Thu Feb 03, 2011 10:00 am ]
Post subject:  Re: One of my old problems

Click Here To Show Diagram Code
[go]$$W White to play and win.
$$ -----------------------
$$ | . . . . . 9 7 8 . . . |
$$ | . . . . 3 1 2 . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O , O 5 6 . X , . |
$$ | . . O a O X X . X . . |
$$ | . . O 4 X X . X . X . |
$$ | . . O . . O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . 0 X X . X O X |
$$ | . . . O O O X X O , O |
$$ | . . . . . O O X X O . |
$$ ------------------------[/go]

11 @ a
i dont know about winning..but this seems ideal.
it took me 10 sec to comeup with above seq.
i hope i am right :)


edit:
ok ..i did another sequence..which appears to have same result.
Click Here To Show Diagram Code
[go]$$W White to play and win.
$$ -----------------------
$$ | . . . . 7 6 8 . . . . |
$$ | . . . . 3 1 2 . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O , O 4 . . X , . |
$$ | . . O . O X X . X . . |
$$ | . . O 5 X X . X . X . |
$$ | . . O . 0 O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . 9 X X . X O X |
$$ | . . . O O O X X O , O |
$$ | . . . . . O O X X O . |
$$ ------------------------[/go]

Author:  Dusk Eagle [ Thu Feb 03, 2011 10:00 am ]
Post subject:  Re: One of my old problems

Click Here To Show Diagram Code
[go]$$W White to play and win.
$$ -----------------------
$$ | . . . . . 9 7 8 . . . |
$$ | . . . . 3 1 2 . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O , O 5 6 . X , . |
$$ | . . O 0 O X X a X . . |
$$ | . . O 4 X X . X . X . |
$$ | . . O . . O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . . X X . X O X |
$$ | . . . O O O X X O , O |
$$ | . . . . . O O X X O . |
$$ ------------------------[/go]


Click Here To Show Diagram Code
[go]$$Wm11 White to play and win.
$$ -----------------------
$$ | . . . . . O O X . . . |
$$ | . . . . O O X . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O , O O X . X , . |
$$ | . . O X O X X . X . . |
$$ | . . O X X X . X . X . |
$$ | . . O . . O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . 1 X X . X O X |
$$ | . . . O O O X X O , O |
$$ | . . . . . O O X X O . |
$$ ------------------------[/go]

:w1: is the biggest move. After that, I believe :b4: and :w7: are worth the same amount (1.0 points). However, before :w7:, white should play :w5:, which is sente for him (the followup is bigger than the move itself). The reason it is sente is because 'a' will not be worth a point if white can play on :b6:. With :w9:, white has obtained tedomari, and only miai plays remain.

This took me a little while to get, but I think I have it right now. I'm quite enjoying these problems: I feel like I'm really learning with each one.

Author:  Bill Spight [ Thu Feb 03, 2011 10:17 am ]
Post subject:  Re: One of my old problems

@ Magicwand and Dusk Eagle

Thanks, guys!

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

Author:  HermanHiddema [ Thu Feb 03, 2011 10:33 am ]
Post subject:  Re: One of my old problems

Click Here To Show Diagram Code
[go]$$W
$$ -----------------------
$$ | . . . . 3 7 6 . . . . |
$$ | . . . . . 1 2 . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O , O 4 . . X , . |
$$ | . . O . O X X . X . . |
$$ | . . O 5 X X . X . X . |
$$ | . . O . 8 O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . 9 X X . X O X |
$$ | . . . O O O X X O , O |
$$ | . . . . . O O X X O . |
$$ ------------------------[/go]


White wins by 1 point.

:w3: is vital to get the last move. If :w3: simply connects, black can later play the first line hane-connect and it will be jigo:


Click Here To Show Diagram Code
[go]$$W White to play and win.
$$ -----------------------
$$ | . . . . 7 6 8 . . . . |
$$ | . . . . 3 1 2 . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O , O 4 . . X , . |
$$ | . . O . O X X . X . . |
$$ | . . O 5 X X . X . X . |
$$ | . . O . 9 O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . 0 X X . X O X |
$$ | . . . O O O X X O , O |
$$ | . . . . . O O X X O . |
$$ ------------------------[/go]



I solved it by having seen it before, I don't think I would find this tedomari in a real game :)

Author:  Magicwand [ Thu Feb 03, 2011 10:41 am ]
Post subject:  Re: One of my old problems

Bill Spight wrote:
@ Magicwand and Dusk Eagle

Thanks, guys!

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

i felt something was missing..and was looking into top :w3: and realized what i missed just before you post.
thank you for intresting problem.

Author:  Mnemonic [ Thu Feb 03, 2011 11:37 am ]
Post subject:  Re: One of my old problems

I've looked at the problem for about 3-4 min and this is my first thought. I will look at it later some more to see if I missed something. (I felt this problem was easier than the last, but Bill said it was tricky :sad:

Solution:
Click Here To Show Diagram Code
[go]$$W White protects at a
$$ -----------------------
$$ | . . . . . a 9 0 . . . |
$$ | . . . . 3 1 2 . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O , O 5 6 . X , . |
$$ | . . O 7 O X X . X . . |
$$ | . . O 4 X X . X . X . |
$$ | . . O C . O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . 8 X X . X O X |
$$ | . . . O O O X X O , O |
$$ | . . . . . O O X X O . |
$$ ------------------------[/go]

:w1: is a 5 point gote move and the biggest on the board.
:b4: should be a 2,5 gote move ,because it destroys the possibility of a white point at :ec: and White needs to protect at :w7: at some point.
:w5: and :b6: are 1,5 gote moves and the rest are 1 point gote moves

Author:  jts [ Thu Feb 03, 2011 11:59 am ]
Post subject:  Re: One of my old problems

Stab at a solution:
Click Here To Show Diagram Code
[go]$$W White to play and win.
$$ -----------------------
$$ | . . . . . . . . . . . |
$$ | . . . . . a . . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O , O c . . X , . |
$$ | . . O . O X X . X . . |
$$ | . . O b X X . X . X . |
$$ | . . O . . O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . d X X . X O X |
$$ | . . . O O O X X O , O |
$$ | . . . . . O O X X O . |
$$ ------------------------[/go]


"a" is 6 pts in gote (with a 1 pt gote follow-up), "b" is 2 pts in gote (with a 1 pt gote follow-up), "c" is 1.75 pts in gote (with a 1.5 pt follow-up if white plays) 2 pts with a 2 pt follow up, "d" is 1 pt in gote.

I looked at the descent one point to the left of "a" and it wasn't as good for white.

Click Here To Show Diagram Code
[go]$$W White to play and win.
$$ -----------------------
$$ | . . . . . . 9 0 . . . |
$$ | . . . . 3 1 2 . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O , O 5 6 . X , . |
$$ | . . O 7 O X X . X . . |
$$ | . . O 4 X X . X . X . |
$$ | . . O . . O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . 8 X X . X O X |
$$ | . . . O O O X X O , O |
$$ | . . . . . O O X X O . |
$$ ------------------------[/go]


Which gives a final score of -1.


My thoughts on the difficulty:
This strikes me as doable by a 10k. It took me 6 minutes to score the main line, 3 minutes or so to double-check all the variations on the top edge, plus a bit to count. I didn't find any tricks, though, so perhaps I missed the point of the problem. Edit: yes, I missed it.

Author:  Dusk Eagle [ Thu Feb 03, 2011 2:07 pm ]
Post subject:  Re: One of my old problems

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

It's actually a tie, isn't it? I just didn't think about black playing :b4: at that spot - I thought he had to play at 'a'.

So, more to learn :) .

Author:  Bill Spight [ Thu Feb 03, 2011 4:08 pm ]
Post subject:  Re: One of my old problems

Dusk Eagle wrote:
Click Here To Show Diagram Code
[go]$$W
$$ -----------------------
$$ | . . . . . . . . . . . |
$$ | . . . . 3 1 2 . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O , O 4 . . X , . |
$$ | . . O . O X X . X . . |
$$ | . . O a X X . X . X . |
$$ | . . O . . O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . . X X . X O X |
$$ | . . . O O O X X O , O |
$$ | . . . . . O O X X O . |
$$ ------------------------[/go]

It's actually a tie, isn't it? I just didn't think about black playing :b4: at that spot - I thought he had to play at 'a'.

So, more to learn :) .


Yes, it's jigo.

Oops! ;)

Author:  yoyoma [ Thu Feb 03, 2011 4:25 pm ]
Post subject:  Re: One of my old problems

My thoughts are not 100% clear on this but I figured I'd write down what I have so far:

Ok well I know how to calculate Miai values, and this understanding is already more than enough to satisfy me as far as practical game play is concerned. But I am interested in trying to get a proper 10,000 foot level of understanding of what those things are. So here is what my current 10,000 foot explaination would be, please correct any mistakes:

Some plays involve creating an even/odd number of smaller followup moves to ensure you get the last move of a certain size (Tedomari), or at least prevent the opponent from getting Tedomari. Some of them involve the order of equal sized moves and deal with 'should I play this 2 point gote or this 1 point sente/reverse-sente'.




Click Here To Show Diagram Code
[go]$$W White to play and win.
$$ -----------------------
$$ | . . . . . . . . . . . |
$$ | . . . . . a . . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O , O c . . X , . |
$$ | . . O . O X X . X . . |
$$ | . . O b X X . X . X . |
$$ | . . O . . O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . d X X . X O X |
$$ | . . . O O O X X O , O |
$$ | . . . . . O O X X O . |
$$ ------------------------[/go]



Miai values:
a = 3
b = 1
c = 1
d = 0.5

White plays the A sequence, and then (here's a part where I'm not sure) analyzes the entire rest of the board to completion and determines hanging connection is better than solid connection in this case?? And this is an example of.... Creating an even/odd number of smaller followup moves??

Miai values:
a' = 1 (new play created after a)
b = 1
c = 1
d = 0.5

Black.... Well how does black pick among the 1 point plays? Does it matter? Let's say for now black plays C, because that's what Bill's solution has! :)

Miai values:
a' = 1 (new play created after a)
b = 1
d = 0.5

White.... Well again here I'm not sure but as before I randomly pick the one Bill picked. :D
White plays b

Miai values:
a' = 1 (new play created after a)
b' = 0.5 (new play created after b)
d = 0.5

Black plays a' (easy!)

Miai values:
a'' = 1 (new play created after a')
b' = 0.5 (new play created after b)
d = 0.5

White plays a''
Black plays b'
White plays d



Calculations of some of the miai values:
a - 3
6 point double gote, leaving behind a 1 point reverse sente for white

b - 1
white to play makes 2 points + 50% of 1 more point
black to play prevents white's move, but white still has 50% to make 1 point
(2.5 - 0.5)/2 = 1

c - 1
White to play here will be sente, since followup is worth 2 points, which is more than Black's reverse sente (worth 1 point)

d - 0.5
1 point double gote

Author:  mitsun [ Thu Feb 03, 2011 7:38 pm ]
Post subject:  Re: One of my old problems

This problem has two fairly separable parts -- the top and the middle.

A play at the top is clearly biggest, and the hane is better than the straight descent (since the follow-up in either case is gote). Then the question is how W should connect:

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

(a) can be ruled out, as it is never better than (b), no matter who gets the next move
(c) seems equivalent to (b), since a B response looks like sente in either case
(b) might be a better choice if W could conceivably let B get the next two moves

Continuing, plays at (a) and (b) in the middle are now miai

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

W at (a) leaves a local position worth 2.5 points for W by the OM count
B at (a) leaves a local position worth 0.5 points for W by the OM count
W at (b) leaves a local position worth 1+ points for B by the OM count
B at (b) leaves a local position worth 3 points for B by the OM count
The OM count does not help us here; the end of the game is so close that we need more accuracy.

If B plays (b) and W plays (a), two points remain and will be split. This is the correct play for B, although he still loses the game. This B move can be considered reverse-sente, if that helps.

If B plays (a) and W plays (b), B needs to block. Two points still remain and will be split. This continuation is one point worse for B.

I think the difficulty level of this problem depends on how much time you allow the solver. Anyone who can solve it in a minute or so is probably dan level. I guess a mid-kyu player could also solve it given considerably more time.

Author:  Bill Spight [ Thu Feb 03, 2011 8:05 pm ]
Post subject:  Re: One of my old problems

mitsun wrote:
This problem has two fairly separable parts -- the top and the middle.

A play at the top is clearly biggest, and the hane is better than the straight descent (since the follow-up in either case is gote). Then the question is how W should connect:

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

(a) can be ruled out, as it is never better than (b), no matter who gets the next move
(c) seems equivalent to (b), since a B response looks like sente in either case
(b) might be a better choice if W could conceivably let B get the next two moves

Continuing, plays at (a) and (b) in the middle are now miai

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

W at (a) leaves a local position worth 2.5 points for W by the OM count
B at (a) leaves a local position worth 0.5 points for W by the OM count
W at (b) leaves a local position worth 1+ points for B by the OM count
B at (b) leaves a local position worth 3 points for B by the OM count
The OM count does not help us here; the end of the game is so close that we need more accuracy.

If B plays (b) and W plays (a), two points remain and will be split. This is the correct play for B, although he still loses the game. This B move can be considered reverse-sente, if that helps.

If B plays (a) and W plays (b), B needs to block. Two points still remain and will be split. This continuation is one point worse for B.

I think the difficulty level of this problem depends on how much time you allow the solver. Anyone who can solve it in a minute or so is probably dan level. I guess a mid-kyu player could also solve it given considerably more time.


I think that this is your line of play.

Click Here To Show Diagram Code
[go]$$W
$$ -----------------------
$$ | . . . . 3 5 4 . . . . |
$$ | . . . . . 1 2 . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O , O 6 . . X , . |
$$ | . . O . O X X . X . . |
$$ | . . O 7 X X . X . X . |
$$ | . . O . 8 O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . 9 X X . X O X |
$$ | . . . O O O X X O , O |
$$ | . . . . . O O X X O . |
$$ ------------------------[/go]


:b8: and :w9: are miai, and could go the other way.

If so, :b6: is a mistake.

Click Here To Show Diagram Code
[go]$$W
$$ -----------------------
$$ | . . . . 3 5 4 . . . . |
$$ | . . . . . 1 2 . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O , O 7 8 . X , . |
$$ | . . O 0 O X X . X . . |
$$ | . . O 6 X X . X . X . |
$$ | . . O . . O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . 9 X X . X O X |
$$ | . . . O O O X X O , O |
$$ | . . . . . O O X X O . |
$$ ------------------------[/go]


:w9: and :b10: are miai.

The result is jigo.

Author:  lightvector [ Thu Feb 03, 2011 11:23 pm ]
Post subject:  Re: One of my old problems

Wow, I think I got it. I hope. Doing this problem has taught me a few things I didn't realize before. I think I understand much better how tedomari works.
Click Here To Show Diagram Code
[go]$$W
$$ -----------------------
$$ | . . . . 3 . a . . . . |
$$ | . . . . . 1 2 . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O , O b . . X , . |
$$ | . . O . O X X . X . . |
$$ | . . O c X X . X . X . |
$$ | . . O . . O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . d X X . X O X |
$$ | . . . O O O X X O , O |
$$ | . . . . . O O X X O . |
$$ ------------------------[/go]


White begins by playing the biggest move. Now, abc are all worth 1 point miai counting. But they behave slightly differently (I bet CGT would give them all some different weird infinitesimals).

If black plays a, then there's a 1 point reverse sente left for white there.
If white plays b, then there's a 1 point gote left for white there.
C is just a straight-up 1 point gote with nothing special. Regardless of who plays first, there's an 0.5 point gote left, but it's always going to be miai with d, which is also 0.5 points, so we can ignore that and ignore d.

White's goal is to be the last to play a 1 point move.

Variations:

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


If :b4: descends, then white pushes at 5. Black takes his sente with :b6: , but sente gains nothing (it already was factored in when we declared :b4: to be a 1 point move in the first place). Now, a and b are miai, so white will get the last 1 point play. If we finish up the miai pairs from here, white wins by 1 point.

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


If :b4: blocks, white takes the other 1 point play with :w5:, then when black descends, white gets the last 1 pt play with the reverse sente at :w7:. White wins by 1 point.

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


If :b4: pushes here, then :w5: pushes. Next, if :b6: descends at a, white pushes at b and gets the last 1 point play (black can take his sente at c, but under miai counting, sente gains nothing). If on the other hand :b6: blocks at b, white hanes at a which is the last 1 pt play again. In either variation, after the miai pairs are finished off, white wins by 1 point.


I hope this is right. Fun problem.

Author:  Bill Spight [ Fri Feb 04, 2011 12:36 am ]
Post subject:  Re: One of my old problems

lightvector wrote:
Wow, I think I got it. I hope. Doing this problem has taught me a few things I didn't realize before. I think I understand much better how tedomari works.
Click Here To Show Diagram Code
[go]$$W
$$ -----------------------
$$ | . . . . 3 . a . . . . |
$$ | . . . . . 1 2 . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O , O b . . X , . |
$$ | . . O . O X X . X . . |
$$ | . . O c X X . X . X . |
$$ | . . O . . O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . d X X . X O X |
$$ | . . . O O O X X O , O |
$$ | . . . . . O O X X O . |
$$ ------------------------[/go]


White begins by playing the biggest move. Now, abc are all worth 1 point miai counting. But they behave slightly differently (I bet CGT would give them all some different weird infinitesimals).

If black plays a, then there's a 1 point reverse sente left for white there.
If white plays b, then there's a 1 point gote left for white there.
C is just a straight-up 1 point gote with nothing special. Regardless of who plays first, there's an 0.5 point gote left, but it's always going to be miai with d, which is also 0.5 points, so we can ignore that and ignore d.

White's goal is to be the last to play a 1 point move.

Variations:

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


If :b4: descends, then white pushes at 5. Black takes his sente with :b6: , but sente gains nothing (it already was factored in when we declared :b4: to be a 1 point move in the first place). Now, a and b are miai, so white will get the last 1 point play. If we finish up the miai pairs from here, white wins by 1 point.

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


If :b4: blocks, white takes the other 1 point play with :w5:, then when black descends, white gets the last 1 pt play with the reverse sente at :w7:. White wins by 1 point.

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


If :b4: pushes here, then :w5: pushes. Next, if :b6: descends at a, white pushes at b and gets the last 1 point play (black can take his sente at c, but under miai counting, sente gains nothing). If on the other hand :b6: blocks at b, white hanes at a which is the last 1 pt play again. In either variation, after the miai pairs are finished off, white wins by 1 point.


I hope this is right. Fun problem.


Well done! :)


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


Your first variation shows technically correct play by both players. :)

Author:  Bill Spight [ Fri Feb 04, 2011 12:45 am ]
Post subject:  Re: One of my old problems

Again, many thanks to the solvers. :)

It has been enlightening to me to find out how people think about these problems, :) Also, it is gratifying that so many feel that they are learning something about getting the last play. :) I am going to pass that along to Berlekamp and Wolfe, the authors of Mathematcal Go, which is where I learned this stuff.

Author:  walleye [ Fri Feb 04, 2011 12:54 am ]
Post subject:  Re: One of my old problems

These deliberations are very interesting of course. But I'm wondering if this is the best way to improve one's endgame.

In a game, most of the time it's not necessary to compute exact values of moves. It's usually enough to find the largest place and play there, taking sente and miai into account of course. Only relative size of various plays matters.

Take a look at this elementary problem. How quickly can you decide which place is bigger, top or bottom?

Click Here To Show Diagram Code
[go]$$c Black to play
$$ --------------
$$ | . . . . . |
$$ | X X O O . |
$$ | . . X O . |
$$ | X X X O O |
$$ | . . . O . |
$$ --------------[/go]


I don't really want to compute the size of plays there. What I want is something like an intuitive feel for the relative size of the two places. And a good way to develop this skill is to solve hundreds or even thousands of simple yose problems where there are only two or three unsettled boundaries left and you just have to pick the largest place.

ひと目のヨセ (http://senseis.xmp.net/?YoseAtAGlance) by Cho Chikun attempts to do something like this, but it only has about a hundred problems. I need more.

Author:  lightvector [ Fri Feb 04, 2011 2:01 am ]
Post subject:  Re: One of my old problems

walleye wrote:
These deliberations are very interesting of course. But I'm wondering if this is the best way to improve one's endgame.

In a game, most of the time it's not necessary to compute exact values of moves. It's usually enough to find the largest place and play there, taking sente and miai into account of course. Only relative size of various plays matters.

Take a look at this elementary problem. How quickly can you decide which place is bigger, top or bottom?

Click Here To Show Diagram Code
[go]$$c Black to play
$$ --------------
$$ | . . . . . |
$$ | X X O O . |
$$ | . . X O . |
$$ | X X X O O |
$$ | . . . O . |
$$ --------------[/go]


I don't really want to compute the size of plays there. What I want is something like an intuitive feel for the relative size of the two places. And a good way to develop this skill is to solve hundreds or even thousands of simple yose problems where there are only two or three unsettled boundaries left and you just have to pick the largest place.

ひと目のヨセ (http://senseis.xmp.net/?YoseAtAGlance) by Cho Chikun attempts to do something like this, but it only has about a hundred problems. I need more.


For common endgame moves, you don't need to compute. You can just know the values in advance, which isn't hard.
The top move is 1 point because it's a gote hane+connect, the bottom is just shy of 1 because it's a corridor push. So black plays the top, solved on sight (there's also a tedomari issue, but...). I don't ever actually compute the value of a complicated move during a game, unless it's a big trade or something (and then only approximately).

For me, having a few values gives a useful anchor. The following scale is roughly what I have off the top of my head, and is really useful for me in games.

1/3:
Final endgame ko

1/2:
Gote push to destroy 1 point

1/2 to 1:
Push down corridor ending in dead end (closer to 1 if longer)

1:
Sente push or push that is "eventually" sente (the corridor leads to a sente move at the end)
Gote 1st line hane-connect
Capture 1 stone and make 1 territory
Destroy 2 points
Capture2-recapture1 (this one's useful to know)

3:
1st line hane-connect sente for one side
2nd line hane-connect with gote followups
Capturing 2nd line stone with gote followups

4-5:
1st line hane-connect that can't be directly blocked by one side
Playing/blocking "typical" gote monkey jump

~4-10:
Capturing 2nd line stone with varying senteness/severity of followups
2nd line hane connect with varying senteness/severity of followups

8
Playing/blocking "typical" sente monkey jump

~11-14+
Medium to large opening moves

~14
Opening move, taking empty corner

~N/2:
Make a move that turns N potential points into dame

~N:
Save N stones
Resolve a small capturing race with N stones involved (owned by either player)

Basically, I play a lot by feel too, but having this rough scale in mind makes it a lot easier to keep everything coherent, and helps compare things like capturing stones with first line and second line moves. It's nice to instantly know that your second line hane and connect is better than saving 4 stones from capture.

Author:  robinz [ Fri Feb 04, 2011 3:03 am ]
Post subject:  Re: One of my old problems

I'm afraid to say that I've not really attempted most of these endgame problems that Bill (and others) has posted lately. And this despite me being about the 10k "target audience" - the first problem was just a bit too fiddly for me to solve at any speed, and didn't seem enough fun to want to spend time working it out :sad: I guess I need to learn from the experts here how to evaluate the size of these plays quickly. Right now I have to read out 3 or 4 moves, then compare the two positions, before I can say "OK, so A is a 2 point gote" (or whatever).

Because walleye's problem is so small, it was easy enough for me to figure out that the top was bigger than the bottom, but only because I was able to read all the way to the end of the game in both cases, to see that starting on top led to a win by one whereas starting on the bottom was jigo. But it wasn't intuitively obvious to me what the answer would be from simply looking at the position.

I'm not sure what this proves, other than that my endgame sucks :sad:

(Although, at my club I quite often get to take white in high handicap games on small board against near-beginners; and against those who don't gratuitously let their groups die, most of my wins in these situations come from bossing them about in the endgame, so I guess my endgame isn't that terrible compared to my rank. I feel I'm OK on the general principle that you shouldn't just follow your opponent around, but make sente plays of your own if they threaten something bigger than your opponent's last "sente" play does. I'm just not very good at choosing the biggest move - particularly online when I'm always in byoyomi by the endgame, and 30 seconds just doesn't seem long enough for me to decide which the biggest areas are.)

Author:  Loons [ Fri Feb 04, 2011 4:40 am ]
Post subject:  Re: One of my old problems

Considering I answered the last one correctly simply by my first pass being lucky, I will be interested in if and how I've made mistakes. I did intentionally take the last move (successfully, I believe) this time. Thanks for the fun, Bill.

My Solution and slight variations:
All results W 17 B 16.5 counting in pairs.
Click Here To Show Diagram Code
[go]$$Wc
$$ +-----------------------+
$$ | . . . . 3 6 4 . . . . |
$$ | . . . . 7 1 2 . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O . O 5 9 . X . . |
$$ | . . O 0 O X X . X . . |
$$ | . . O 8 X X . X , X . |
$$ | . . O . . O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . W X X . X O X |
$$ | . . . O O O X X O . O |
$$ | . . . . . O O X X O . |
$$ +-----------------------+[/go]


Click Here To Show Diagram Code
[go]$$Wc
$$ +-----------------------+
$$ | . . . . 3 9 7 8 . . . |
$$ | . . . . . 1 2 . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O . O 5 6 . X . . |
$$ | . . O 0 O X X . X . . |
$$ | . . O 4 X X . X , X . |
$$ | . . O . . O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . W X X . X O X |
$$ | . . . O O O X X O . O |
$$ | . . . . . O O X X O . |
$$ +-----------------------+[/go]


Click Here To Show Diagram Code
[go]$$Wc Line feels strange
$$ +-----------------------+
$$ | . . . . 3 9 8 . . . . |
$$ | . . . . . 1 2 . . . . |
$$ | . . O O O X X X X . . |
$$ | . . O . O 4 . . X . . |
$$ | . . O . O X X . X . . |
$$ | . . O 5 X X . X , X . |
$$ | . . O . 6 O O X . . . |
$$ | . . O O O O X X X X X |
$$ | . . O . 7 X X . X O X |
$$ | . . . O O O X X O . O |
$$ | . . . . . O O X X O . |
$$ +-----------------------+[/go]

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