Life In 19x19 :: L19 Go Problem Championship: Round 2

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L19 Go Problem Championship: Round 2 http://lifein19x19.com/viewtopic.php?f=15&t=14026	Page 1 of 2

Author: Kirby [ Thu Feb 23, 2017 10:52 pm ]

Post subject: L19 Go Problem Championship: Round 2

Welcome to Round 2 of the L19 Go Problem Championship.

All problems are black to play. As usual, provide your solutions either via hide tags, or direct private message to me.

Problem 1 (3 points)

Click Here To Show Diagram Code: [go]$$B $$ | . . . . . . . . $$ | . X X . . . . . $$ | . O X . . . . . $$ | . O X , . . . . $$ | . X O X . . . . $$ | . O O X . X . . $$ | . . . . . . . . $$ ----------------[/go]

Problem 2 (6 points)

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

Problem 3 (9 points)

Click Here To Show Diagram Code: [go]$$B $$ | . . . . . . . . . . $$ | . . . X X X . . . . $$ | . . X O O O X X . . $$ | . . X , . . O . X , $$ | . . . X O . . O X . $$ | . X . X O . . O X . $$ | . . . . . . . O . . $$ --------------------[/go]

Have fun!

Author:	EdLee [ Fri Feb 24, 2017 5:13 am ]
Post subject:
2017 Round 2.1 (004) Click Here To Show Diagram Code `[go]$$B B kills $$ \| . . . . . . . . $$ \| . X X . . . . . $$ \| . O X . . . . . $$ \| 4 O X , . . . . $$ \| 1 X O X . . . . $$ \| 2 O O X . X . . $$ \| . 5 3 . . . . . $$ ----------------[/go]` 2017 Round 2.2 (005) Click Here To Show Diagram Code `[go]$$B First feelings: (a) or (b) $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| a O . . . O X . $$ \| . b . . O . . . $$ \| ---------------[/go]` Hane: Click Here To Show Diagram Code `[go]$$B W dies $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 1 O . 3 . O X . $$ \| . . 2 . O . . . $$ \| ---------------[/go]` Click Here To Show Diagram Code `[go]$$B W dies $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 1 O . 3 . O X . $$ \| . 2 . . O . . . $$ \| ---------------[/go]` Click Here To Show Diagram Code `[go]$$B W dies $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 1 O 2 . . O X . $$ \| . . . . O . 3 . $$ \| ---------------[/go]` Clamp: Click Here To Show Diagram Code `[go]$$B W dies $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 5 O 4 3 . O X . $$ \| . 1 2 . O . . . $$ \| ---------------[/go]` If extends: Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 2 O . . . O X . $$ \| . 1 3 . O . . . $$ \| ---------------[/go]` Click Here To Show Diagram Code `[go]$$B W dies $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 2 O . 4 . O X . $$ \| . 1 3 . O . 5 . $$ \| ---------------[/go]` Click Here To Show Diagram Code `[go]$$B W dies $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 2 O . . . O X . $$ \| . 1 3 4 O . 5 . $$ \| ---------------[/go]` If connects: Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 2 O 4 . . O X . $$ \| . 1 3 . O . . . $$ \| ---------------[/go]` Click Here To Show Diagram Code `[go]$$B W lives $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 2 O 4 6 5 O X . $$ \| . 1 3 . O . . . $$ \| ---------------[/go]` Click Here To Show Diagram Code `[go]$$B @ (a) or (b): seki $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 2 O 4 . 6 O X . $$ \| . 1 3 a O . b . $$ \| ---------------[/go]` 2017 Round 2.3 (006) Click Here To Show Diagram Code `[go]$$B W lives $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X 3 1 2 O . X , $$ \| . . . X O . . O X . $$ \| . X . X O . . O X . $$ \| . . . . 4 . . O . . $$ --------------------[/go]` Click Here To Show Diagram Code `[go]$$B W lives $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , . . O . X , $$ \| . . . X O 2 . O X . $$ \| . X . X O 1 . O X . $$ \| . . . . . . . O . . $$----------------------[/go]` Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , . . O . X , $$ \| . . . X O 1 . O X . $$ \| . X . X O . . O X . $$ \| . . . . . . . O . . $$----------------------[/go]`

Author:	Kirby [ Fri Feb 24, 2017 9:23 am ]
Post subject:	Re: L19 Go Problem Championship: Round 2
@EdLee: Your solution for #1 is correct. Looks like you're still investigating the other two, so I won't comment on those.

Author:	Lanrose [ Fri Feb 24, 2017 9:57 am ]
Post subject:	Re: L19 Go Problem Championship: Round 2
Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X . . . . . $$ \| . O X . . . . . $$ \| 4 O X , . . . . $$ \| 1 X O X . . . . $$ \| 2 O O X . X . . $$ \| . 5 3 . . . . . $$ ----------------[/go]` I was able to work a little on problem 2 as well Click Here To Show Diagram Code `[go]$$B First version W lives $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 2 O 3 4 . O X . $$ \| . 1 5 . O . . . $$ ----------------[/go]` Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 2 O 4 6 . O X . $$ \| 8 1 3 5 O 7 . . $$ ----------------[/go]` Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| O O O O . O X . $$ \| O . 9 . O X . . $$ ----------------[/go]` I'm unsure about this result so I'm going to continue hunting for something better

Author:	Kirby [ Fri Feb 24, 2017 11:02 am ]
Post subject:	Re: L19 Go Problem Championship: Round 2
@Lanrose: Your solution for problem 1 is correct. For the second problem, continuing from your last diagram, if white captures the stone...? Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| O O O O . O X . $$ \| O . 9 . O C 0 . $$ ----------------[/go]`

Author:	Lanrose [ Fri Feb 24, 2017 3:27 pm ]
Post subject:	Re: L19 Go Problem Championship: Round 2
@Kirby Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| O O O O . O X . $$ \| O . 1 . O 4 2 3 $$ ----------------[/go]` For some reason I thought this would be a Ko fight but I see that white will just play and live. While driving though i was able to come up with this sequence Click Here To Show Diagram Code `[go]$$B same as before $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 2 O 4 6 . O X . $$ \| 8 1 3 5 O 7 . . $$ ----------------[/go]` Click Here To Show Diagram Code `[go]$$B Ko fight $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| O O O O 3 O X . $$ \| O . 2 . O 1 . . $$ ----------------[/go]` I don't know if this is the best sequence for black but it at least forces a ko fight

Author:	Kirby [ Fri Feb 24, 2017 4:42 pm ]
Post subject:	Re: L19 Go Problem Championship: Round 2
@Lanrose: Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 2 O 4 . 6 O X . $$ \| . 1 3 5 O . . . $$ ----------------[/go]` Anyway, the solution for this one should avoid both ko and seki, since there is a way to kill directly.

Author:	jeromie [ Fri Feb 24, 2017 8:36 pm ]
Post subject:	Re: L19 Go Problem Championship: Round 2
Problem 1 Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X . . . . . $$ \| . O X . . . . . $$ \| . O X , . . . . $$ \| 1 X O X . . . . $$ \| 2 O O X . X . . $$ \| . a 3 . . . . . $$ ----------------[/go]` White can't play at a for a second eye due to a shortage of liberties Problem 2 Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| a O . c . O X . $$ \| . b . . O . . . $$ ----------------[/go]` This reminds me of this problem Bill Spight posted a while back. But there's a crucial difference; if black hanes at a here and white decends at b, the resulting shape is dead instead of alive. That suggests to me that black can do better than ko in this problem and that c is a key point. Here's my answer: Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 2 O 4 1 3 O X . $$ \| . . . . O 5 . . $$ ----------------[/go]` Another possible resistance: Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 5 O 3 1 4 O X . $$ \| . . . 2 O . . . $$ ----------------[/go]` Problem 3 (9 points) I think this clamp works: Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , . . O . X , $$ \| . . . X O 3 . O X . $$ \| . X . X O 1 . O X . $$ \| . . . . 2 a . O . . $$ --------------------[/go]` The hane at a is answered by the same 3. If white tries this Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , b . O a X , $$ \| . . . X O 2 . O X . $$ \| . X . X O 1 4 O X . $$ \| . . . 7 3 5 6 O . $$ --------------------[/go]` The weakness at a and the shortage of liberties at b ensure white can't get two eyes.

Author:	jeromie [ Fri Feb 24, 2017 8:51 pm ]
Post subject:	Re: L19 Go Problem Championship: Round 2
Oops. On problem 3 I missed white's throw in. I've looked at the other contestants' answers, so I'm disqualified from posting another solution. Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , . . O . X , $$ \| . . . X O 2 . O X . $$ \| . X . X O 1 6 O X . $$ \| . . . 7 3 4 5 O . $$ --------------------[/go]`

Author:	gamesorry [ Fri Feb 24, 2017 11:11 pm ]
Post subject:	Re: L19 Go Problem Championship: Round 2
1. Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X . . . . . $$ \| . O X . . . . . $$ \| . O X , . . . . $$ \| 1 X O X . . . . $$ \| 2 O O X . X . . $$ \| . a 3 . . . . . $$ ----------------[/go]` 2. Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 3 O 2 1 . O X . $$ \| . . . . O . . . $$ ----------------[/go]` Incidentally, I just found a very similar situation in one of my 13*13 games today: https://online-go.com/game/6863138 (move 53) Variation 1: Ko, B fails Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 1 O . 2 . O X . $$ \| . 3 4 . O . . . $$ ----------------[/go]` 3. Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , 4 . O . X , $$ \| . . . X O 7 2 O X . $$ \| . X . X O 3 1 O X . $$ \| . . . . 6 5 . O . . $$ --------------------[/go]` Variation: Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X 4 . 7 O . X , $$ \| . . . X O . 2 O X . $$ \| . X . X O 3 1 O X . $$ \| . . . . 5 6 . O . . $$ --------------------[/go]` Variation: Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X 9 . 4 O 5 X , $$ \| . . . X O . 3 O X . $$ \| . X . X O . 1 O X . $$ \| . . . . 2 8 6 O 7 . $$ --------------------[/go]` Variation: Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , 5 . O . X , $$ \| . . . X O 4 3 O X . $$ \| . X . X O 2 1 O X . $$ \| . . . . . . . O . . $$ --------------------[/go]` Variation: Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X 7 5 6 O 4 X , $$ \| . . . X O a 3 O X . $$ \| . X . X O 2 1 O X . $$ \| . . . . 8 . 9 O . . $$ --------------------[/go]` B fails Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X 4 . . O . X , $$ \| . . . X O 2 8 O X . $$ \| . X . X O 1 3 O X . $$ \| . . . . 5 6 7 O . . $$ --------------------[/go]` B fails Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X 3 1 2 O . X , $$ \| . . . X O . . O X . $$ \| . X . X O . . O X . $$ \| . . . . 4 . . O . . $$ --------------------[/go]`

Author:	Kirby [ Sat Feb 25, 2017 4:12 pm ]
Post subject:	Re: L19 Go Problem Championship: Round 2
@jeromie: Looks good for problems 1 & 2. And, indeed, that throw-in poses an issue from problem 3

Author:	Kirby [ Sat Feb 25, 2017 4:14 pm ]
Post subject:	Re: L19 Go Problem Championship: Round 2
@gamesorry: Good work! Regarding problem 3, do you have a response for white's connection with , below? Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , 2 . O . X , $$ \| . . . X O . . O X . $$ \| . X . X O . 1 O X . $$ \| . . . . . . . O . . $$ --------------------[/go]`

Author:	Shaddy [ Sat Feb 25, 2017 9:23 pm ]
Post subject:	Re: L19 Go Problem Championship: Round 2
Problem 1 (3 points) Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X . . . . . $$ \| . O X . . . . . $$ \| . O X , . . . . $$ \| 1 X O X . . . . $$ \| 2 O O X . X . . $$ \| . . 3 . . . . . $$ ----------------[/go]` Problem 2 (6 points) Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 3 O 2 1 . O X . $$ \| . 4 . 5 O . . . $$ ----------------[/go]` Problem 3 (9 points) Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , 4 . O . X , $$ \| . . . X O . 2 O X . $$ \| . X . X O 3 1 O X . $$ \| . . . . . 5 . O . . $$ --------------------[/go]` so it's ko with 2 @ 4, 5 @ 2.

Author:	gamesorry [ Sat Feb 25, 2017 9:50 pm ]
Post subject:	Re: L19 Go Problem Championship: Round 2
Kirby wrote: @gamesorry: Good work! Regarding problem 3, do you have a response for white's connection with , below? Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , 2 . O . X , $$ \| . . . X O . . O X . $$ \| . X . X O . 1 O X . $$ \| . . . . . . . O . . $$ --------------------[/go]` Oops, nice move! This should be a ko Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , 2 7 O 5 X , $$ \| . . . X O 4 3 O X . $$ \| . X . X O 6 1 O X . $$ \| . . . . . . . O . . $$ --------------------[/go]`

Author:	Kirby [ Sat Feb 25, 2017 10:19 pm ]
Post subject:	Re: L19 Go Problem Championship: Round 2
@Shaddy: Not sure I get the causal implication with the "so" in your comment. The diagrams you provided are correct, and ko is correct for the third problem - but I didn't quite get your comment. With 5@2, where are 3 and 4?

Author:	Kirby [ Sat Feb 25, 2017 10:20 pm ]
Post subject:	Re: L19 Go Problem Championship: Round 2
@gamesorry Bingo. +18.

Author:	Shaddy [ Sat Feb 25, 2017 10:41 pm ]
Post subject:	Re: L19 Go Problem Championship: Round 2
Kirby wrote: @Shaddy: Not sure I get the causal implication with the "so" in your comment. The diagrams you provided are correct, and ko is correct for the third problem - but I didn't quite get your comment. With 5@2, where are 3 and 4? Sorry, I meant 3 @ 2. Then White makes the ko-mouth and Black gives atari.

Author:	Kirby [ Sat Feb 25, 2017 10:47 pm ]
Post subject:	Re: L19 Go Problem Championship: Round 2
Shaddy wrote: Kirby wrote: @Shaddy: Not sure I get the causal implication with the "so" in your comment. The diagrams you provided are correct, and ko is correct for the third problem - but I didn't quite get your comment. With 5@2, where are 3 and 4? Sorry, I meant 3 @ 2. Then White makes the ko-mouth and Black gives atari. Yeah, that's the sequence I had in mind.

Author:	Lanrose [ Thu Mar 02, 2017 9:16 pm ]
Post subject:	Re: L19 Go Problem Championship: Round 2
So completely forgot I never posted solutions to the last 2 problems Both possible variations though I think the first has white defending better. Either way white dies. Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 2 O 4 1 3 O X . $$ \| . . . . O 5 . . $$ ----------------[/go]` Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| . O 2 1 . O X . $$ \| . . . 3 O . . . $$ ----------------[/go]` Problem 3 First tried this variation but the throw in means white lives. Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , . . O . X , $$ \| . . . X O 2 . O X . $$ \| . X . X O 1 . O X . $$ \| . . . . 3 4 . O . . $$ --------------------[/go]` I didn't think this would work and it didn't Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , 2 . O . X , $$ \| . . . X O 1 . O X . $$ \| . X . X O . . O X . $$ \| . . . . . . . O . . $$ --------------------[/go]` And a couple variations later I came to this conclusion. Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , 2 7 O 5 X , $$ \| . . . X O 4 3 O X . $$ \| . X . X O 6 1 O X . $$ \| . . . . . . . O . . $$ --------------------[/go]`

Author:	Kirby [ Thu Mar 02, 2017 11:47 pm ]
Post subject:	Re: L19 Go Problem Championship: Round 2
Lanrose wrote: So completely forgot I never posted solutions to the last 2 problems Both possible variations though I think the first has white defending better. Either way white dies. Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 2 O 4 1 3 O X . $$ \| . . . . O 5 . . $$ ----------------[/go]` Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| . O 2 1 . O X . $$ \| . . . 3 O . . . $$ ----------------[/go]` Problem 3 First tried this variation but the throw in means white lives. Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , . . O . X , $$ \| . . . X O 2 . O X . $$ \| . X . X O 1 . O X . $$ \| . . . . 3 4 . O . . $$ --------------------[/go]` I didn't think this would work and it didn't Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , 2 . O . X , $$ \| . . . X O 1 . O X . $$ \| . X . X O . . O X . $$ \| . . . . . . . O . . $$ --------------------[/go]` And a couple variations later I came to this conclusion. Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . . . $$ \| . . . X X X . . . . $$ \| . . X O O O X X . . $$ \| . . X , 2 7 O 5 X , $$ \| . . . X O 4 3 O X . $$ \| . X . X O 6 1 O X . $$ \| . . . . . . . O . . $$ --------------------[/go]` @Lanrose: Just in time, because I'm about to post the solutions! You're looking pretty good here, except what about this? Click Here To Show Diagram Code `[go]$$B $$ \| . . . . . . . . $$ \| . X X X X . . . $$ \| . X O O O X X . $$ \| 4 O 2 1 . O X . $$ \| . . . 3 O . . . $$ ----------------[/go]`

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