(;
AB[nl][nm][nn][ql][qm][pn][rn][ro][ko][kp][kq][mo][qo][np][qq][rq]
AW[pk][qk][rl][rm][om][on][oo][no][mq][nq][pq][pr][lr][qr][rr]
C[Black plays.]
(;
B[op]
C[The straightforward push and cut doesn't work.];
W[pp];B[ol];W[pl]
TR[pm][po]
C[The marked points are miai for White, and Black's lower right group does not have eyes.]
)
    (;
    B[pp]
    C[Trying to catch White in a liberty shortage from the other direction doesn't work either.];
    W[ol]
    LB[mp:][op:][po:][pm:]
    C[For example, White can simply connect to the stones above.

C and D are miai to prevent Black's potential marked eye.

And A and B are miai to prevent Black from connecting out.]
    TR[qn];
    B[po]
    C[For example.];
    W[pm];B[rp];W[sq]
    C[Black can only make one eye.]
    )
    (;
    B[ol]
    C[An obvious 1st move, but based on the previous variations, how does Black make eyes?];
    W[pl]
    (;
    B[pp]
    C[Note again that this hane still doesn't work.];
    W[pm]
    C[Black cannot connect out or make eyes.]
    )
        (;
        B[pm]
        C[The brilliant solution!];
        W[po]
        C[At 1st glance Black's previous move seems ridiculous, because White forces here to destroy the eye.];
        B[pp];W[qn];B[op];W[mp]
        C[If White prevents the connection to the outside, ...];
        B[pm]
        C[Black catches 4 stones in a liberty shortage.]
        )
    )
)

