For anyone that's interested: below you can find 4 problems from a lecture on life and death I recently attended at School Pink Stones.
$$c Black to play
$$ ----------------
$$ | . . . . . . . .
$$ | . . X . . . . .
$$ | . X . . . . . .
$$ | . . X X X . . .
$$ | . . O O . X . .
$$ | . . X O . . . .
$$ | . . . O X . . .
$$ | . . O X . X . .
$$ | O O O X . . . .
$$ | X X X X . . . .
$$ | . . . . . . . .
[go]$$c Black to play
$$ ----------------
$$ | . . . . . . . .
$$ | . . X . . . . .
$$ | . X . . . . . .
$$ | . . X X X . . .
$$ | . . O O . X . .
$$ | . . X O . . . .
$$ | . . . O X . . .
$$ | . . O X . X . .
$$ | O O O X . . . .
$$ | X X X X . . . .
$$ | . . . . . . . .[/go]
$$c Black to play
$$ --------------------
$$ . . X X . . . . . . |
$$ . . X O O . . O O . |
$$ . . X O . O . X O . |
$$ , . X O O O X X X X |
$$ . . . X X X . . . . |
$$ . . . . . . X . . . |
$$ . . . . . . . . . . |
$$ . . . . . . . . . . |
[go]$$c Black to play
$$ --------------------
$$ . . X X . . . . . . |
$$ . . X O O . . O O . |
$$ . . X O . O . X O . |
$$ , . X O O O X X X X |
$$ . . . X X X . . . . |
$$ . . . . . . X . . . |
$$ . . . . . . . . . . |
$$ . . . . . . . . . . |[/go]
$$c Black to play
$$ | . . . . . . . . . .
$$ | . . . . . . . . . .
$$ | . . X . . . . . . .
$$ | . . . X X X X . . .
$$ | . X X O . O X . . .
$$ | X O X O . O X . . ,
$$ | . O O . . O O X . .
$$ | . O . . . O X X . .
$$ | . . . . O X X . . .
$$ ---------------------
[go]$$c Black to play
$$ | . . . . . . . . . .
$$ | . . . . . . . . . .
$$ | . . X . . . . . . .
$$ | . . . X X X X . . .
$$ | . X X O . O X . . .
$$ | X O X O . O X . . ,
$$ | . O O . . O O X . .
$$ | . O . . . O X X . .
$$ | . . . . O X X . . .
$$ ---------------------[/go]
$$c Black to play
$$ . . . . . . . . |
$$ . . . . . X . . |
$$ . . . . . . . . |
$$ . . . . . . . . |
$$ . . . O X X X . |
$$ . . X . . O X . |
$$ . . X . X O . . |
$$ . . . . O . O . |
$$ . . . . . . . . |
$$ ---------------
[go]$$c Black to play
$$ . . . . . . . . |
$$ . . . . . X . . |
$$ . . . . . . . . |
$$ . . . . . . . . |
$$ . . . O X X X . |
$$ . . X . . O X . |
$$ . . X . X O . . |
$$ . . . . O . O . |
$$ . . . . . . . . |
$$ ---------------[/go]
I'll post the answers after a few people have had a go at these problems.
If you're stuck and need a hint:
If there really is no better solution, ko might be a valid answer. But if there is a way to kill unconditionally, getting a ko represents failure. I always feel cheated when the answer to a life and death problem turns out to be ko, but it makes sense: in real games, there's no one standing next to you saying which groups can be killed unconditionally, and which ones turn into ko. Even if you get the first (few) move(s) correct, if a solution is ko and you thought it was a clean kill, you got the problem wrong. The difference between killing and starting a ko can be a big difference in a real game, after all.
Re: 4 life and death problems.
Posted: Thu Aug 14, 2014 8:00 am
by Marcus
I think I've got the first one. I keep refuting my solutions to the 2nd one. Will continue later. If anyone has a refutation of the below candidate solution, let me know.
Problem 1:
$$c First Move
$$ ----------------
$$ | . . . . . . . .
$$ | . . X . . . . .
$$ | . X . . . . . .
$$ | . . X X X . . .
$$ | . . O O . X . .
$$ | . . X O . . . .
$$ | . 1 . O X . . .
$$ | . . O X . X . .
$$ | O O O X . . . .
$$ | X X X X . . . .
$$ | . . . . . . . .
[go]$$c First Move
$$ ----------------
$$ | . . . . . . . .
$$ | . . X . . . . .
$$ | . X . . . . . .
$$ | . . X X X . . .
$$ | . . O O . X . .
$$ | . . X O . . . .
$$ | . 1 . O X . . .
$$ | . . O X . X . .
$$ | O O O X . . . .
$$ | X X X X . . . .
$$ | . . . . . . . .[/go]
$$c Var 1
$$ ----------------
$$ | . . . . . . . .
$$ | . . X . . . . .
$$ | . X . . . . . .
$$ | . . X X X . . .
$$ | 5 6 O O . X . .
$$ | 7 2 C O . . . .
$$ | 3 1 4 O X . . .
$$ | . . O X . X . .
$$ | O O O X . . . .
$$ | X X X X . . . .
$$ | . . . . . . . .
[go]$$c Var 1
$$ ----------------
$$ | . . . . . . . .
$$ | . . X . . . . .
$$ | . X . . . . . .
$$ | . . X X X . . .
$$ | 5 6 O O . X . .
$$ | 7 2 C O . . . .
$$ | 3 1 4 O X . . .
$$ | . . O X . X . .
$$ | O O O X . . . .
$$ | X X X X . . . .
$$ | . . . . . . . .[/go]
$$c Var 2
$$ ----------------
$$ | . . . . . . . .
$$ | . . X . . . . .
$$ | . X . . . . . .
$$ | . . X X X . . .
$$ | 3 7 O O . X . .
$$ | 6 4 C O . . . .
$$ | 5 1 2 O X . . .
$$ | . . O X . X . .
$$ | O O O X . . . .
$$ | X X X X . . . .
$$ | . . . . . . . .
[go]$$c Var 2
$$ ----------------
$$ | . . . . . . . .
$$ | . . X . . . . .
$$ | . X . . . . . .
$$ | . . X X X . . .
$$ | 3 7 O O . X . .
$$ | 6 4 C O . . . .
$$ | 5 1 2 O X . . .
$$ | . . O X . X . .
$$ | O O O X . . . .
$$ | X X X X . . . .
$$ | . . . . . . . .[/go]
Re: 4 life and death problems.
Posted: Thu Aug 14, 2014 8:27 am
by Marcus
Here's the best I can do for Problem 2:
All I could force was ko. First variation was what I thought would work, second is the better W defense:
$$c W dies here, so see next variation ...
$$ --------------------
$$ . . X X 6 2 4 8 7 . |
$$ . . X O O 5 1 O O 9 |
$$ . . X O . O 3 X O . |
$$ , . X O O O X X X X |
$$ . . . X X X . . . . |
$$ . . . . . . X . . . |
$$ . . . . . . . . . . |
$$ . . . . . . . . . . |
[go]$$c W dies here, so see next variation ...
$$ --------------------
$$ . . X X 6 2 4 8 7 . |
$$ . . X O O 5 1 O O 9 |
$$ . . X O . O 3 X O . |
$$ , . X O O O X X X X |
$$ . . . X X X . . . . |
$$ . . . . . . X . . . |
$$ . . . . . . . . . . |
$$ . . . . . . . . . . |[/go]
$$c Ko?
$$ --------------------
$$ . . X X 6 2 4 . 7 . |
$$ . . X O O 5 1 O O 9 |
$$ . . X O . O 3 X O 8 |
$$ , . X O O O X X X X |
$$ . . . X X X . . . . |
$$ . . . . . . X . . . |
$$ . . . . . . . . . . |
$$ . . . . . . . . . . |
[go]$$c Ko?
$$ --------------------
$$ . . X X 6 2 4 . 7 . |
$$ . . X O O 5 1 O O 9 |
$$ . . X O . O 3 X O 8 |
$$ , . X O O O X X X X |
$$ . . . X X X . . . . |
$$ . . . . . . X . . . |
$$ . . . . . . . . . . |
$$ . . . . . . . . . . |[/go]
Re: 4 life and death problems.
Posted: Thu Aug 14, 2014 8:47 am
by Marcus
Problem 3:
$$c First Move
$$ | . . . . . . . . . .
$$ | . . . . . . . . . .
$$ | . . X . . . . . . .
$$ | . . . X X X X . . .
$$ | . X X O . O X . . .
$$ | X O X O . O X . . ,
$$ | . O O . . O O X . .
$$ | . O . 1 . O X X . .
$$ | . . . . O X X . . .
$$ ---------------------
[go]$$c First Move
$$ | . . . . . . . . . .
$$ | . . . . . . . . . .
$$ | . . X . . . . . . .
$$ | . . . X X X X . . .
$$ | . X X O . O X . . .
$$ | X O X O . O X . . ,
$$ | . O O . . O O X . .
$$ | . O . 1 . O X X . .
$$ | . . . . O X X . . .
$$ ---------------------[/go]
$$c Var 1
$$ | . . . . . . . . . .
$$ | . . . . . . . . . .
$$ | . . X . . . . . . .
$$ | . . . X X X X . . .
$$ | . X X O 2 O X . . .
$$ | X O X O . O X . . ,
$$ | . O O 3 . O O X . .
$$ | . O 4 1 . O X X . .
$$ | . . . 5 O X X . . .
$$ ---------------------
[go]$$c Var 1
$$ | . . . . . . . . . .
$$ | . . . . . . . . . .
$$ | . . X . . . . . . .
$$ | . . . X X X X . . .
$$ | . X X O 2 O X . . .
$$ | X O X O . O X . . ,
$$ | . O O 3 . O O X . .
$$ | . O 4 1 . O X X . .
$$ | . . . 5 O X X . . .
$$ ---------------------[/go]
$$c Var 2 - :b11: at :bc:
$$ | . . . . . . . . . .
$$ | . . . . . . . . . .
$$ | . . X . . . . . . .
$$ | . . . X X X X . . .
$$ | 0 X X O 9 O X . . .
$$ | B O X O . O X . . ,
$$ | 7 O O 2 6 O O X . .
$$ | 8 O . 1 3 O X X . .
$$ | . . 4 5 C X X . . .
$$ ---------------------
[go]$$c Var 2 - :b11: at :bc:
$$ | . . . . . . . . . .
$$ | . . . . . . . . . .
$$ | . . X . . . . . . .
$$ | . . . X X X X . . .
$$ | 0 X X O 9 O X . . .
$$ | B O X O . O X . . ,
$$ | 7 O O 2 6 O O X . .
$$ | 8 O . 1 3 O X X . .
$$ | . . 4 5 C X X . . .
$$ ---------------------[/go]
$$c Var 3
$$ | . . . . . . . . . .
$$ | . . . . . . . . . .
$$ | . . X . . . . . . .
$$ | . . . X X X X . . .
$$ | . X X O 2 O X . . .
$$ | X O X O 7 O X . . ,
$$ | . O O 5 . O O X . .
$$ | . O . 1 4 O X X . .
$$ | . . 6 3 O X X . . .
$$ ---------------------
[go]$$c Var 3
$$ | . . . . . . . . . .
$$ | . . . . . . . . . .
$$ | . . X . . . . . . .
$$ | . . . X X X X . . .
$$ | . X X O 2 O X . . .
$$ | X O X O 7 O X . . ,
$$ | . O O 5 . O O X . .
$$ | . O . 1 4 O X X . .
$$ | . . 6 3 O X X . . .
$$ ---------------------[/go]
$$c Var 4
$$ | . . . . . . . . . .
$$ | . . . . . . . . . .
$$ | . . X . . . . . . .
$$ | . . . X X X X . . .
$$ | . X X O 2 O X . . .
$$ | X O X O . O X . . ,
$$ | . O O 4 6 O O X . .
$$ | . O . 1 5 O X X . .
$$ | . 7 . 3 C X X . . .
$$ ---------------------
[go]$$c Var 4
$$ | . . . . . . . . . .
$$ | . . . . . . . . . .
$$ | . . X . . . . . . .
$$ | . . . X X X X . . .
$$ | . X X O 2 O X . . .
$$ | X O X O . O X . . ,
$$ | . O O 4 6 O O X . .
$$ | . O . 1 5 O X X . .
$$ | . 7 . 3 C X X . . .
$$ ---------------------[/go]
Re: 4 life and death problems.
Posted: Sat Aug 16, 2014 3:33 am
by drmwc
Number 4:
$$c Black to play
$$ . . . . . . . . |
$$ . . . . . X . . |
$$ . . . . . . . . |
$$ . . . . . . . . |
$$ . . . O X X X . |
$$ . . X 3 2 O X . |
$$ . . X 4 X O 7 . |
$$ . . . 1 O . O 8 |
$$ . . 5 . 9 6 . . |
$$ ---------------
[go]$$c Black to play
$$ . . . . . . . . |
$$ . . . . . X . . |
$$ . . . . . . . . |
$$ . . . . . . . . |
$$ . . . O X X X . |
$$ . . X 3 2 O X . |
$$ . . X 4 X O 7 . |
$$ . . . 1 O . O 8 |
$$ . . 5 . 9 6 . . |
$$ ---------------[/go]
Black kills through a double ko.
Re: 4 life and death problems.
Posted: Sat Aug 16, 2014 8:00 pm
by cornucopia
Thanks Hushfield, they look really interesting! I'm going to take them to the GGG studygroup tomorrow! I'll keep you posted on the achieved results
Re: 4 life and death problems.
Posted: Mon Aug 18, 2014 12:05 am
by Hushfield
You can find the solutions below:
Problem 1:
$$c Black kills unconditionally
$$ ----------------
$$ | . . . . . . . .
$$ | . . X . . . . .
$$ | . X . . . . . .
$$ | . . X X X . . .
$$ | 5 . O O . X . .
$$ | . 2 X O . . . .
$$ | 3 1 4 O X . . .
$$ | . . O X . X . .
$$ | O O O X . . . .
$$ | X X X X . . . .
$$ | . . . . . . . .
[go]$$c Black kills unconditionally
$$ ----------------
$$ | . . . . . . . .
$$ | . . X . . . . .
$$ | . X . . . . . .
$$ | . . X X X . . .
$$ | 5 . O O . X . .
$$ | . 2 X O . . . .
$$ | 3 1 4 O X . . .
$$ | . . O X . X . .
$$ | O O O X . . . .
$$ | X X X X . . . .
$$ | . . . . . . . .[/go]
Problem 2:
$$c Black can get a ko
$$ --------------------
$$ . . X X 4 3 6 7 8 . |
$$ . . X O O . 1 O O . |
$$ . . X O . O 2 X O 5 |
$$ , . X O O O X X X X |
$$ . . . X X X . . . . |
$$ . . . . . . X . . . |
$$ . . . . . . . . . . |
$$ . . . . . . . . . . |
[go]$$c Black can get a ko
$$ --------------------
$$ . . X X 4 3 6 7 8 . |
$$ . . X O O . 1 O O . |
$$ . . X O . O 2 X O 5 |
$$ , . X O O O X X X X |
$$ . . . X X X . . . . |
$$ . . . . . . X . . . |
$$ . . . . . . . . . . |
$$ . . . . . . . . . . |[/go]
Problem 3:
$$c Black can get a ko
$$ | . . . . . . . . . .
$$ | . . . . . . . . . .
$$ | . . X . . . . . . .
$$ | . . . X X X X . . .
$$ | . X X O . O X . . .
$$ | X O X O . O X . . ,
$$ | . O O . . O O X . .
$$ | 7 O 6 1 3 O X X . .
$$ | 8 5 4 2 O X X . . .
$$ ---------------------
[go]$$c Black can get a ko
$$ | . . . . . . . . . .
$$ | . . . . . . . . . .
$$ | . . X . . . . . . .
$$ | . . . X X X X . . .
$$ | . X X O . O X . . .
$$ | X O X O . O X . . ,
$$ | . O O . . O O X . .
$$ | 7 O 6 1 3 O X X . .
$$ | 8 5 4 2 O X X . . .
$$ ---------------------[/go]
Problem 4:
$$c Black kills through double ko
$$ . . . . . . . . |
$$ . . . . . X . . |
$$ . . . . . . . . |
$$ . . . . . . . . |
$$ . . . O X X X . |
$$ . . X 3 2 O X . |
$$ . . X 4 X O 7 . |
$$ . . . 1 O . O 8 |
$$ . . 5 . 9 6 . . |
$$ ---------------