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Re: Tsumegos from real games

Posted: Mon Aug 15, 2022 3:39 am
by jlt
Problem #33, Black to play. This one was DDK level, how could I miss it?
Click Here To Show Diagram Code
[go]$$Bc
$$ . . . . . . . . . |
$$ . . . . . O . . . |
$$ . . . . X O O O . |
$$ . . . O O X O X . |
$$ X . O . X X X . X |
$$ . X O . X . X . . |
$$ X O O O . X W . . |
$$ O X X O O O O . . |
$$ . X . X X X O . . |
$$ . . . . . . . . . |
$$ . . . . . . . . . |
$$ -------------------[/go]

Re: Tsumegos from real games

Posted: Mon Aug 15, 2022 4:21 am
by xela
I wouldn't say DDK level. I fell into the temptation to be too clever...

First attempt (wrong)
Click Here To Show Diagram Code
[go]$$Bc
$$ . . . . . . . . . . |
$$ . . . . . . O . . . |
$$ . . . . . X O O O . |
$$ . . . . O O X O X . |
$$ . X . O . X X X . X |
$$ . . X O . X . X 2 . |
$$ . X O O O 3 X O 1 5 |
$$ . O X X O O O O 4 . |
$$ . . X . X X X O . . |
$$ . . . . . . . . . . |
$$ . . . . . . . . . . |
$$ ---------------------[/go]
It's cute that :w4: doesn't capture :b1:. One of my favourite shapes. But...

Click Here To Show Diagram Code
[go]$$Bc
$$ . . . . . . . . . . |
$$ . . . . . . O . . . |
$$ . . . . . X O O O . |
$$ . . . . O O X O X . |
$$ . X . O . X X X . X |
$$ . . X O . X . X 2 . |
$$ . X O O O 3 X O 1 4 |
$$ . O X X O O O O . . |
$$ . . X . X X X O . . |
$$ . . . . . . . . . . |
$$ . . . . . . . . . . |
$$ ---------------------[/go]
Oops
Second attempt
Click Here To Show Diagram Code
[go]$$Bc
$$ . . . . . . . . . . |
$$ . . . . . . O . . . |
$$ . . . . . X O O O . |
$$ . . . . O O X O X . |
$$ . X . O . X X X . X |
$$ . . X O . X . X 1 . |
$$ . X O O O a X O b . |
$$ . O X X O O O O . . |
$$ . . X . X X X O . . |
$$ . . . . . . . . . . |
$$ . . . . . . . . . . |
$$ ---------------------[/go]
Now 'a' and 'b' are miai.

Re: Tsumegos from real games

Posted: Wed Aug 24, 2022 6:15 am
by jlt
Problem #34, White to play
Click Here To Show Diagram Code
[go]$$Wc
$$ | . . . . . . X . . . . . . . . . . . . |
$$ | . . . . . . X O . . . . . . . . . . . |
$$ | . . . . . . X O . . . . . . . . . . . |
$$ | . . X X . . . O . . . . . . . . . . . |
$$ | . . O X . X X O . O O . . . . . . . . |
$$ | . . O , . O O X X X O . . O X X X . . |
$$ | . . . O . O X . . X X O . O X O O O . |
$$ | . . . . . O X . O . X . O . O X X X . |
$$ | . . . . . . X . . . . . . O . . . . . |
$$ ---------------------------------------[/go]
Answer
Click Here To Show Diagram Code
[go]$$Wc
$$ | . . . . . . X . . . . . . . . . . . . |
$$ | . . . . . . X O . . . . . . . . . . . |
$$ | . . . . . . X O . . . . . . . . . . . |
$$ | . . X X . . . O . . . . . . . . . . . |
$$ | . . O X . X X O . O O . . . . . . . . |
$$ | . . O , . O O X X X O . . O X X X . . |
$$ | . . . O . O X . . X X O . O X O O O . |
$$ | . . . . . O X 1 O . X . O . O X X X . |
$$ | . . . . . . X . . . . . . O . . . . . |
$$ ---------------------------------------[/go]

Re: Tsumegos from real games

Posted: Fri Oct 28, 2022 2:20 am
by jlt
Problem #35. This is from a correspondence game on OGS, 1d vs 2d, I was Black. We both misread the following life and death problem. White to play.
Click Here To Show Diagram Code
[go]$$Wc White to play
$$ ---------------------------------------
$$ | . . . . . . . O O . . . . . . . . . . |
$$ | . . . . . . X . X O . X . O X X . . . |
$$ | . . . O X . . X X O . . . O O X . . . |
$$ | . . O , X . . . X X O O O X . X . . . |
$$ | . . . O O . . X X O . . X X . X . . . |
$$ | . . . . . . O O X . . . . . . O O . . |
$$ | . . . . . O . . O X . X . . . X . . . |
$$ | . . . . X O X . O X . . X . X . X . . |[/go]
In the game White played
M17
What is then the status of the white group, and what is the correct response for Black?

Answer
Click Here To Show Diagram Code
[go]$$Wc seki
$$ ---------------------------------------
$$ | . . . . . . . O O 5 . 3 . 4 . . . . . |
$$ | . . . . . . X . X O 6 X 1 O X X . . . |
$$ | . . . O X . . X X O 7 2 . O O X . . . |
$$ | . . O , X . . . X X O O O X . X . . . |
$$ | . . . O O . . X X O . . X X . X . . . |
$$ | . . . . . . O O X . . . . . . O O . . |
$$ | . . . . . O . . O X . X . . . X . . . |[/go]
After the game move, White is dead.
Click Here To Show Diagram Code
[go]$$Wc
$$ ---------------------------------------
$$ | . . . . . . . O O . . . 3 2 . . . . . |
$$ | . . . . . . X . X O . X 4 O X X . . . |
$$ | . . . O X . . X X O . 1 . O O X . . . |
$$ | . . O , X . . . X X O O O X . X . . . |
$$ | . . . O O . . X X O . . X X . X . . . |
$$ | . . . . . . O O X . . . . . . O O . . |
$$ | . . . . . O . . O X . X . . . X . . . |[/go]
Click Here To Show Diagram Code
[go]$$Wc a and b are miai
$$ ---------------------------------------
$$ | . . . . . . . O O a 8 7 O b 5 . . . . |
$$ | . . . . . . X . X O 6 X X O X X . . . |
$$ | . . . O X . . X X O . O . O O X . . . |
$$ | . . O , X . . . X X O O O X . X . . . |
$$ | . . . O O . . X X O . . X X . X . . . |
$$ | . . . . . . O O X . . . . . . O O . . |
$$ | . . . . . O . . O X . X . . . X . . . |[/go]

Re: Tsumegos from real games

Posted: Sat Aug 26, 2023 2:09 am
by jlt
Problem #36, Black to play.
Click Here To Show Diagram Code
[go]$$Bc Black to play
$$ | . . . . . O . X . . O . X O . . O . . |
$$ | . . . X . . . X O . . . X O O . . O . |
$$ | . . . X O . O X . . O . . O . O O . . |
$$ | . . . X X X X X . X O . O . . . O X . |
$$ | . . . , O O O O X X X X X X X X X O O |
$$ | . . . . . X X O O X O O X O O . X X O |
$$ | . . . . O X O O X O O X O . O O O O O |
$$ | . . O . . O X O X O . X X O O X X O . |
$$ | . . . . . . . . X O . . X O X X O O . |
$$ | . . . . . X X X X O . W X O X O O X X |
$$ | . . O O . X O O X O . O X X X O . X . |
$$ | . X X O . X O O O . O . . . X X O O X |
$$ | . . . X X . X O . X O . X . . . X X . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]

Re: Tsumegos from real games

Posted: Sat Aug 26, 2023 1:58 pm
by kvasir
Like this?
Click Here To Show Diagram Code
[go]$$Bc
$$ | . . . . . O . X . . O . X O . . O . . |
$$ | . . . X . . . X O . . . X O O . . O . |
$$ | . . . X O . O X . . O . . O . O O . . |
$$ | . . . X X X X X . X O . O . . . O X . |
$$ | . . . , O O O O X X X X X X X X X O O |
$$ | . . . . . X X O O X O O X O O . X X O |
$$ | . . . . O X O O X O O X O . O O O O O |
$$ | . . O . . O X O X O . X X O O X X O . |
$$ | . . 6 5 . . . . X O . . X O X X O O . |
$$ | . . . . . X X X X O . W X O X O O X X |
$$ | . . O O . X O O X O . O X X X O . X . |
$$ | . X X O . X O O O . O . . . X X O O X |
$$ | . . . X X 4 X O . X O . X . . . X X . |
$$ | . . . . . 3 2 . 1 . . . . . . . . . . |
$$ ---------------------------------------[/go]
:b1: looks vital but can't connect with :b3:
Click Here To Show Diagram Code
[go]$$Bcm7
$$ | . . . . . O . X . . O . X O . . O . . |
$$ | . . . X . . . X O . . . X O O . . O . |
$$ | . . . X O . O X . . O . . O . O O . . |
$$ | . . . X X X X X . X O . O . . . O X . |
$$ | . . . , O O O O X X X X X X X X X O O |
$$ | . . . . . X X O O X O O X O O . X X O |
$$ | . . . . O X O O X O O X O . O O O O O |
$$ | . . O . . O X O X O . X X O O X X O . |
$$ | . . O X . . . . X O . . X O X X O O . |
$$ | . . 5 . . X X X X O . W X O X O O X X |
$$ | . . O O . X O O X O . O X X X O . X . |
$$ | . X X O . X O O O 3 O . . . X X O O X |
$$ | . . . X X 4 1 O . X O . X . . . X X . |
$$ | . . . . . X O 2 X . . . . . . . . . . |
$$ ---------------------------------------[/go]
White can also play a threat for :w8: but I think black can protect
Click Here To Show Diagram Code
[go]$$Wcm8
$$ | . . . . . O . X . . O . X O . . O . . |
$$ | . . . X . . . X O . . . X O O . . O . |
$$ | . . . X O . O X 1 . O . . O . O O . . |
$$ | . . . X X X X X 2 X O . O . . . O X . |
$$ | . . . , O O O O X X X X X X X X X O O |
$$ | . . . . . X X O O X O O X O O . X X O |
$$ | . . . . O X O O X O O X O . O O O O O |
$$ | . . O . . O X O X O . X X O O X X O . |
$$ | . . O X . . . . X O . . X O X X O O . |
$$ | . . 4 5 . X X X X O . O X O X O O X X |
$$ | . . O O . X O O X O . O X X X O . X . |
$$ | . X X O . X O O O 8 O . . . X X O O X |
$$ | . . . X X 3 6 O . X O . X . . . X X . |
$$ | . . . . . X O 7 X . . . . . . . . . . |
$$ ---------------------------------------[/go]
Click Here To Show Diagram Code
[go]$$Wcm16
$$ | . . . . . O . X . . O . X O . . O . . |
$$ | . . . X . . . X O . . . X O O . . O . |
$$ | . . . X O . O X O . O . . O . O O . . |
$$ | . . . X X X X X X X O . O . . . O X . |
$$ | . . . , O O O O X X X X X X X X X O O |
$$ | . . 5 . . X X O O X O O X O O . X X O |
$$ | . . . . O X O O X O O X O . O O O O O |
$$ | . . O . . O X O X O . X X O O X X O . |
$$ | . . O X 2 . . . X O . . X O X X O O . |
$$ | . 4 X O . X X X X O . O X O X O O X X |
$$ | . . O O . X O O X O . O X X X O . X . |
$$ | . X X O . X O O O X O . . . X X O O X |
$$ | . . . X X 1 . O . X O . X . . . X X . |
$$ | . . . . 3 X O O X . . . . . . . . . . |
$$ ---------------------------------------[/go]

Re: Tsumegos from real games

Posted: Sun Aug 27, 2023 1:02 am
by jlt
I didn't show the whole board so there is not enough information to determine who wins the ko. Anyway what I missed in the game was that I could get a ko.

Re: Tsumegos from real games

Posted: Tue Oct 03, 2023 12:37 pm
by jlt
Problem #37, White to play. Black has just invaded the corner on the top left, what can White do?
Click Here To Show Diagram Code
[go]$$Wc White to play
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . . . . . . . O X . . X O O O O . . |
$$ | . . X O . . O . O X . X . O X O X X . |
$$ | . . X O . O . . X X O . . O X X . . . |
$$ | . . . . . X X . . X O . . . . . . . . |
$$ | . . O . . . . . . X O . . O . . X . . |
$$ | . . . . O O X . . X O . . O X . . . . |
$$ | . . . . X O X . . . O . . . X . . . . |
$$ | . . . O O X O X . . . . . . . . . . . |
$$ | . . O O X X . . . , . . . . . , . . . |
$$ | . . O X . X . . . . . . . . X . . . . |
$$ | . . O X . . . O . . . . . . . . X . . |
$$ | . . X . . O O X X . X O . . . . . . . |
$$ | . . X . X O . O X . X O . O . . . X . |
$$ | . . . . X O . O . O X X O . . X X O . |
$$ | . . . X . O . . . , . X X O O , O O . |
$$ | . . . . X O O O O . X . . X O O . . . |
$$ | . . . . X X O X O X . . . X O . . . . |
$$ | . . . . . . X . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
Possible variation:
Click Here To Show Diagram Code
[go]$$Wc
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . 5 . . . . . . O X . . X O O O O . . |
$$ | . . X O . . O . O X . X . O X O X X . |
$$ | . 4 X O . O . . X X O . . O X X . . . |
$$ | . 1 2 3 . X X . . X O . . . . . . . . |
$$ | . 6 O . . . . . . X O . . O . . X . . |
$$ | . 7 . . O O X . . X O . . O X . . . . |
$$ | . . . . X O X . . . O . . . X . . . . |
$$ | . . . O O X O X . . . . . . . . . . . |
$$ | . . O O X X . . . , . . . . . , . . . |
$$ | . . O X . X . . . . . . . . X . . . . |
$$ | . . O X . . . O . . . . . . . . X . . |
$$ | . . X . . O O X X . X O . . . . . . . |
$$ | . . X . X O . O X . X O . O . . . X . |
$$ | . . . . X O . O . O X X O . . X X O . |
$$ | . . . X . O . . . , . X X O O , O O . |
$$ | . . . . X O O O O . X . . X O O . . . |
$$ | . . . . X X O X O X . . . X O . . . . |
$$ | . . . . . . X . . . . . . . . . . . . |
$$ ---------------------------------------[/go]

Re: Tsumegos from real games

Posted: Wed Dec 27, 2023 10:03 am
by jlt
Problem #38, White to play.
Click Here To Show Diagram Code
[go]$$Wc White to play
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X X O . . . . . . O . O X X . . . |
$$ | . . X O . O . . . O O X . O O X . . . |
$$ | . . X O . O . . O O X X . . . X . . . |
$$ | . X X O . X O O X O . . . O . . . . . |
$$ | . X O O . . X O X O X . X O . . . . . |
$$ | . O . O . X . X X X . . X O X X X . . |
$$ | . . O . . . . . . . X . X O O O . . . |
$$ | . . . O X X X O O O O X X X . . . . . |
$$ | . . X X O O O O X X O O O . . , . . . |
$$ | . . . . X . . O O X X O . . . . . . . |
$$ | . . X . . X O O X X . X O O O . . . . |
$$ | . O X . . . O X . X X X . O X . . . . |
$$ | . O X O X . O . X . . X . O X . . . . |
$$ | . . O X X . . O O X . . . O X . . . . |
$$ | . . O X O . . O X , . X . O X , X . . |
$$ | . O X O O O O X X . . . . O X . . . . |
$$ | . . . . . . X . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]

Re: Tsumegos from real games

Posted: Thu Dec 28, 2023 9:11 am
by kvasir
Like this?
Click Here To Show Diagram Code
[go]$$Wc Black looks dead and triangle weakness doesn't go anywhere, right?
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X X O . . . . . . O . O X X . . . |
$$ | . . X O . O . . . O O X . O O X . . . |
$$ | . . X O . O . . O O X X . T . X . . . |
$$ | . X X O . X O O X O . . . O . . . . . |
$$ | . X O O . . X O X O X . X O . . . . . |
$$ | . O . O . X . X X X . . X O X X X . . |
$$ | . . O . 3 . 2 1 . . X . X O O O . . . |
$$ | . . . O X X X O O O O X X X . . . . . |
$$ | . . X X O O O O X X O O O . 5 4 . . . |
$$ | . . . . X . . O O X X O . . . . . . . |
$$ | . . X . . X O O X X . X O O O . . . . |
$$ | . O X . . . O X . X X X . O X . . . . |
$$ | . O X O X . O . X . . X . O X . . . . |
$$ | . . O X X . . O O X . . . O X . . . . |
$$ | . . O X O . . O X , . X . O X , X . . |
$$ | . O X O O O O X X . . . . O X . . . . |
$$ | . . . . . . X . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]
Click Here To Show Diagram Code
[go]$$Bc There is still only one eye if black goes for eyes.
$$ ---------------------------------------
$$ | . . . . . . . . . . . . . . . . . . . |
$$ | . . X X O . . . . . . O . O X X . . . |
$$ | . . X O . O . . . O O X . O O X . . . |
$$ | . . X O . O . . O O X X . . . X . . . |
$$ | . X X O . X O O X O 4 2 3 O . . . . . |
$$ | . X O O . . X O X O X 5 X O . . . . . |
$$ | . O . O . X . X X X . 1 X O X X X . . |
$$ | . . O . O . X O . 6 X . X O O O . . . |
$$ | . . . O X X X O O O O X X X . . . . . |
$$ | . . X X O O O O X X O O O . O X . . . |
$$ | . . . . X . . O O X X O . . . . . . . |
$$ | . . X . . X O O X X . X O O O . . . . |
$$ | . O X . . . O X . X X X . O X . . . . |
$$ | . O X O X . O . X . . X . O X . . . . |
$$ | . . O X X . . O O X . . . O X . . . . |
$$ | . . O X O . . O X , . X . O X , X . . |
$$ | . O X O O O O X X . . . . O X . . . . |
$$ | . . . . . . X . . . . . . . . . . . . |
$$ | . . . . . . . . . . . . . . . . . . . |
$$ ---------------------------------------[/go]

Re: Tsumegos from real games

Posted: Tue Feb 06, 2024 2:51 am
by jlt
Problem #39, Black to play.
Click Here To Show Diagram Code
[go]$$Bc Black to play
$$ ---------------------------------------
$$ | . . . . . . . . . . . . O O O X . . . |
$$ | . O . O O X X . . . . O X . X X . . . |
$$ | . . . O X . . X . X X O X . O X O . . |
$$ | . O O X X X . X O , O O X X O X X . . |
$$ | . O X O O X . X O . O O O X X . X X . |
$$ | . X X X O X X X O . X . X O O X O X X |
$$ | . . . O O O O X O . . . X . . O O O X |
$$ | . X X O X X X O O O X X . X . O X X X |
$$ | X . X O O X X O . . O X . X O O O O O |
$$ | . X O O X X O O O , O X . X . , . O . |
$$ | . O . O O X O X O . O X . X O O O X . |
$$ | . . . . . X O X O O X X X O . . O X . |
$$ | . . X O O X X X X O O . . O O O X . . |
$$ | . O O X X . X O X X X X X O X . X . . |
$$ | . O O X . . O O X X O O O X X X . . . |
$$ | . X O O O O O X X O . O X X O O X . . |
$$ | . X X X O X X O O O . . O . O X . . . |
$$ | . . . . X . X X O . . O . O O X . . . |
$$ | . . . . . . . . . . . . . . X . . . . |
$$ ---------------------------------------[/go]
Answer:
Click Here To Show Diagram Code
[go]$$Bc Black to play
$$ ---------------------------------------
$$ | . . . . . . . . . . . . O O O X . . . |
$$ | . O . O O X X . . . . O X . X X . . . |
$$ | . . . O X . . X . X X O X . O X O . . |
$$ | . O O X X X . X O , O O X X O X X . . |
$$ | . O X O O X . X O . O O O X X . X X . |
$$ | . X X X O X X X O . X . X O O X O X X |
$$ | . . . O O O O X O . . . X . . O O O X |
$$ | . X X O X X X O O O X X . X . O X X X |
$$ | X . X O O X X O . . O X . X O O O O O |
$$ | . X O O X X O O O , O X . X . , . O . |
$$ | 4 O . O O X O X O . O X . X O O O X . |
$$ | 5 3 . 2 1 X O X O O X X X O . . O X . |
$$ | . . X O O X X X X O O . . O O O X . . |
$$ | . O O X X . X O X X X X X O X . X . . |
$$ | . O O X . . O O X X O O O X X X . . . |
$$ | . X O O O O O X X O . O X X O O X . . |
$$ | . X X X O X X O O O . . O . O X . . . |
$$ | . . . . X . X X O . . O . O O X . . . |
$$ | . . . . . . . . . . . . . . X . . . . |
$$ ---------------------------------------[/go]

Re: Tsumegos from real games

Posted: Fri Mar 01, 2024 6:21 am
by jlt
Problem #40, White to play. I've probably seen the problem before, but forgot it.
Click Here To Show Diagram Code
[go]Wc $$ | . . . O O X . O . O . X $$ | . . O O X O X . . . . X $$ | . O . . X O . X X X X . $$ | . X O O X . O O O O X . $$ | . X X X O O . . . . O O $$ | . . . . X X O X . . . . $$ | . . . . . . O . . . . . $$ -------------------------[/go]

Re: Tsumegos from real games

Posted: Sat Mar 02, 2024 12:58 pm
by dfan
Yeah, this one shows up in life and death manuals. I learned it as part of the J-group collection.

Re: Tsumegos from real games

Posted: Sat Mar 02, 2024 6:13 pm
by Harleqin
I think like this:
Click Here To Show Diagram Code
[go]$$Wc $$ | . . . O O X . O . O . X $$ | . . O O X O X . . . . X $$ | . O . . X O . X X X X . $$ | . X O O X . O O O O X . $$ | . X X X O O . . . . O O $$ | . . 2 1 X X O X . . . . $$ | . 3 . . . . O . . . . . $$ -------------------------[/go]

Re: Tsumegos from real games

Posted: Mon Mar 04, 2024 12:26 am
by jlt
Problem #41, Black to live.
Click Here To Show Diagram Code
[go]$$Bc Black to live $$ --------------------------------------- $$ | . . . . . . . . . . . . . . . O . . . | $$ | . . X X O O . . . . . . . X O . . . . | $$ | . . X O . X O . . . . . X X X O O O . | $$ | . . X O . . . . . O . . . . O X X O . | $$ | . . . O . . . . . . . . . . X . . X . | $$ | . . X X . . . . . . . . . . . . X . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . O . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . X . . | $$ | . . . , X . . . . , . . . . . , . . . | $$ | . . O O X O . . . . . . . . . O . . . | $$ | . . . X O O . . . . . . . . . . . . . | $$ | . W . X O X X . . . . . . . O . . . . | $$ | . . X . X O . X . . . . . X O X . . . | $$ | . . . X . O . . . . X . X . X O O . . | $$ | . X X O . . O . X , . O . . X , . . . | $$ | . X O O . O X . X O . . . O . X X O . | $$ | . O . . O X . X O O . . . . O O X . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ ---------------------------------------[/go]
Answer:
Click Here To Show Diagram Code
[go]$$Bc Black to live $$ --------------------------------------- $$ | . . . . . . . . . . . . . . . O . . . | $$ | . . X X O O . . . . . . . X O . . . . | $$ | . . X O . X O . . . . . X X X O O O . | $$ | . . X O . . . . . O . . . . O X X O . | $$ | . . . O . . . . . . . . . . X . . X . | $$ | . . X X . . . . . . . . . . . . X . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ | . . O . . . . . . . . . . . . . . . . | $$ | . . . . . . . . . . . . . . . . X . . | $$ | . . . , X . . . . , . . . . . , . . . | $$ | . 6 O O X O . . . . . . . . . O . . . | $$ | . 3 4 X O O . . . . . . . . . . . . . | $$ | . O 5 X O X X . . . . . . . O . . . . | $$ | . 7 X . X O . X . . . . . X O X . . . | $$ | . . . X 1 O . . . . X . X . X O O . . | $$ | . X X O 2 . O . X , . O . . X , . . . | $$ | . X O O . O X . X O . . . O . X X O . | $$ | . O . . O X . X O O . . . . O O X . . | $$ | . . . . . . . . . . . . . . . . . . . | $$ ---------------------------------------[/go]