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The basis for this problem was presented in a twenty year old Go World. A related problem is also in Yutopian's "The Art of Capturing".
Think carefully, this problem is not as straight-forward as it may at first appear.
It is likely that this problem will have been correctly answered by both weaker players and stonger ones. It is mid-range players who may get it wrong.
14 at .
White 1 is a standard attacking move at a vital point. It is one that in many related situations can kill Black, however here Black has a tesuji reply to survive.
Black plays 4 to force White into an "under the stones" shape and sacrifices the four stones, using the time gained to make one eye with 12. After White captures with 13, it becomes apparent that Black can play 14 back in at .
I am taking the opportunity here to discuss the various moves in the sequence that lets Black live...
7 at 1, 8 captures at 3,
After White 9, Black cannot get an eye in the corner and again there is insufficient room on the left for two eyes. Black dies.
13 at , 14 at ,
As shown here, White 13 sets up a snapback forcing 14. If Black ignores this to play at 15, then White 15' at kills Black. If Black plays 'left-of-', White ataris 'right-of-', still killing Black.
Anyway, Dias 2 & 3 fail for White so he best not play them.
Go World 28 puzzled me for a long time by showing this as the answer diagram. I think they must have misphrased the question - "How should Black refute White 1" would have made more sense.
Therefore White just plays the 'boring' reduction of 1 to 4 in
sente.
White should not play A, Black B, White C as it is a gote sequence worth
only one point. Therefore Black A, White C is Black's privilege for a
corner worth 6 points.
Had White played as Dias 2 & 3, Black's corner would be worth about 13 points.
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