Go (Baduk, Weiqi) problems with solutions

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Direction of play and tesuji problem 029

29 Black to play Black has an urgent point, and taking it is very profitable.

(;
GM[1]FF[4]VW[]AP[goproblems.ru]
SZ[19]
AB[hp][go][fo][eo][jp][dp][cp][bq][bp]
AW[br][cq][dq][ep][fp][gp]
C[29
Black to play
Black has an urgent point, and taking it is very profitable.]
(;B[fr]
TE[1]C[Correct answer
The placement (oki) suji 1 is called "the centre of three stones".
See the continuation]
(;W[er]
C[See the variation]
;B[gq];W[ar];B[eq];W[es]
C[…To avoid losing the whole group, White must sacrifice three stones.]
LB[es:6][eq:5][ar:4][gq:3][er:2][fr:1]
)
(;W[gq];B[gr];W[hq];B[iq];W[hr];B[dr];W[cr];B[eq]
C[…The magari 2 has terrible consequences. 3 is a good move that adds dame to the black group. By move 9 all the white stones are captured.]
LB[eq:9][cr:8][dr:7][hr:6][iq:5][hq:4][gr:3][gq:2][fr:1]
))
(;B[ar]
BM[1]C[Wrong answer
See the continuation]
;W[fr];B[cr];W[dr];B[bs];W[hq];B[iq];W[hr]
C[…Against the hane 1 White immediately takes the vital point 2. After 4 the points 5 and 6 are miai. White has got off lightly.]
LB[hr:8][iq:7][hq:6][bs:5][dr:4][cr:3][fr:2][ar:1]
)
(;B[hq]
BM[1]C[Wrong answer
Sagari 1 is slack.
See the continuation]
;W[fr];B[ar];W[bs]LB[bs:4][ar:3][fr:2][hq:1]
))

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