Numsgil wrote:
Koroviev wrote:
I think my main problem with these problems is my definition of safe groups - basically, unless a group is in atari or about to be severely cut, I tend to abandon it and play a big point. These problems - and the comments in this thread - are leading me to look at this kind of thing quite differently.
If the group in question is a single stone, you
might be able to sacrifice it effectively, if you can't make a base for it and running doesn't afford you opportunity to counterattack (because groups on either side of it are too strong, or you have another weak group to tend). But if there's more than a single stone and/or you can create a base for it, that's an urgent move and trumps any big moves.
For your edification, some positions and ideas about weak groups:
This white group is in danger, and needs to run. 'a' or 'b' are the usual points (I would prefer 'a' here since 'b' is playing near black's thickness). It's not
quite urgent, but it's definitely pretty important.
- Click Here To Show Diagram Code
[go]$$W
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . X . . X . O . . O . X . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . a . . b . . . X . . |
$$ | . . . . . . . . . . . . . . . . . . . |[/go]
White is in danger here, but there isn't an effective way to counter attack, and living locally is doubtful, so white should look for ways to sacrifice this stone to get free moves elsewhere. That is, white needs to treat this stone lightly, as aji in black's position.
- Click Here To Show Diagram Code
[go]$$W
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . X . . X . . O . . . X . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . . . . . . . . . . . . . . . . . . . |[/go]
Similar position, but white has too many stones to sacrifice (it's a pretty silly position, of course). It's a weak group that white has to tend to. It's urgent to make a running move to try and save this group
right now this very instant.
- Click Here To Show Diagram Code
[go]$$W
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . X X . . O . X . . . . . |
$$ | . . . . X . . X O O O . . . X . . . . |
$$ | . . . , . . . . X , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . . . . . . . . . . . . . . . . . . . |[/go]
White needs to make a move here to form a base. It's urgent. If black plays here, white has no base. Making a move on the other side, at around 'a', would be the wrong direction, because it forces black towards white's weak stone. Which might work if white plans to sacrifice that lone stone, but that's probably not a good idea here.
- Click Here To Show Diagram Code
[go]$$W
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X . 1 . . O . . . X . . . . |
$$ | . . . a . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . . . . . . . . . . . . . . . . . . . |[/go]
Almost identical position, but white's stone and black's lone stone are in a different position. A move at 'a' is an inducing move: white gets to force black to force white to make a move white wants to play anyways (might not be the
best move here, but it illustrates the idea).
- Click Here To Show Diagram Code
[go]$$W
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . X . . 2 . O . . 3 . X . . . . |
$$ | . . 1 . . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . . . . . . . . . . . . . . . . . . . |[/go]
Stronger players might quibble with these diagrams, but I hope that's at least partially useful.

OK, I'll quibble a bit.
- Click Here To Show Diagram Code
[go]$$W
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . X . . X . O . . O . X . . . . |
$$ | . . . , . . . c . , . . . . . X . . . |
$$ | . . . . . . . . . a . . b . . . X . . |
$$ | . . . . . . . . . . . . . . . . . . . |[/go]
Running at "a" is definitely better than at "b". However, running doesn't accomplish much else. One thought is to play at "c". Black may end up overconcentrated.
- Click Here To Show Diagram Code
[go]$$W
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . X . . X . . O . a . X . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . . . . . . . . . . . . . . . . . . . |[/go]
Yes, White can leave this stone alone early in the game.

Later, a play at "a" makes a small base.
- Click Here To Show Diagram Code
[go]$$W
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . X X . . O . X . . . . . |
$$ | . . . . X . . X O O O . . . X . . . . |
$$ | . . . , . . . . X , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . . . . . . . . . . . . . . . . . . . |[/go]
A rule of thumb is one eye and access to the center. Where is White's eye?
Compare this with the case with one White stone. White has added three stones, but Black has added four. If Black takes another move to capture White's group, that is not a catastrophe. I could sacrifice this group. (OC, I wouldn't end up with it in the first place.

)
- Click Here To Show Diagram Code
[go]$$W
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . X . 1 . . O . . . X . . . . |
$$ | . . . , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . . . . . . . . . . . . . . . . . . . |[/go]

secures White's position while threatening to pincer the Black stone. In addition, Black's thickness in the top right corner is not now working well.
- Click Here To Show Diagram Code
[go]$$W
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . X . a 2 . O . . 3 . X . . . . |
$$ | . . 1 , . . . . . , . . . . . X . . . |
$$ | . . . . . . . . . . . . . . . . X . . |
$$ | . . . . . . . . . . . . . . . . . . . |[/go]
White does
not want to play

, as it approaches the Black strength in the top right corner. A play at "a" would be good, for the reasons given for the previous diagram. (OC, it would be less urgent.)
- Click Here To Show Diagram Code
[go]$$W
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . a 3 X . . 2 . W . 6 . . X . . . . |
$$ | . . 1 , 4 . . . . , . . . . . X . . . |
$$ | . . . 5 . . . . . . . . . . . . X . . |
$$ | . . . . . . . . . . . . . . . . . . . |[/go]
Not that

isn't better. But then

is not so good. (Better attach at "a", I think.) Even after

,

is working well, since Black is cramped on both sides.
