(;AB[pr]AB[qr]AB[rr]AB[pq]AB[qp]AB[rp]AW[qq]AW[rq]AW[sp]AW[ro]AB[qo]AB[qn]AB[qm]AW[rn]AW[rm]AW[ql]AW[pl]AW[pp]AW[op]AW[oq]AW[or]AW[nk]AW[ml]AW[mn]AW[mp]AB[om]AB[on]TR[rr]C[If Black plays the triangled move in problem 7786, what can White do?]AP[goproblems] (;W[sr];B[so] (;W[sn];B[rs] (;W[ps];B[sq] (;W[rq];B[qq] (;W[sq];B[ss] (;W[rl];B[so] (;W[sq]C[Black is down to one eye and dies.RIGHT]) (;W[sp];B[sq]) (;W[pm];B[sq]) (;W[pn];B[sq])) (;W[so];B[rl]TR[rm]TR[rn]TR[ro]TR[so]TR[sn]TR[sp]TR[sq]TR[sr]TR[rq]C[The marked stones are in atari.]) (;W[sl];B[so] (;W[sp];B[sq]) (;W[sq]C[Black is down to one eye and dies.RIGHT]) (;W[pm];B[sq]) (;W[pn];B[sq]) (;W[po];B[sq])) (;W[rk];B[so] (;W[sq]C[Black is down to one eye and dies.RIGHT]) (;W[sp];B[sq])) (;W[sk];B[rl] (;W[so];B[sm]) (;W[rk];B[so] (;W[sp];B[sq]) (;W[sq];B[sm]) (;W[sl];B[sq])) (;W[sl];B[so] (;W[sq];B[sm]) (;W[sp];B[sq]) (;W[rk];B[sq]) (;W[sm];B[sq]))) (;W[sm];B[rl];W[rk];B[so] (;W[sq];B[sl]) (;W[sp];B[sq])) (;W[pm];B[rl] (;W[rk];B[so] (;W[sl];B[sq]) (;W[sq];B[sm]) (;W[sp];B[sq])) (;W[so];B[sm]) (;W[sl];B[so] (;W[sq];B[sm]) (;W[sp];B[sq]) (;W[rk];B[sq])) (;W[pn];B[so] (;W[sp];B[sq]) (;W[sq];B[sm]) (;W[rk];B[sm]))) (;W[pn];B[rl] (;W[rk];B[so] (;W[sq];B[sm]) (;W[sp];B[sq]) (;W[sl];B[sq])) (;W[so];B[sm]) (;W[pm];B[so] (;W[sp];B[sq]) (;W[sq];B[sm]) (;W[rk];B[sm])) (;W[sl];B[so] (;W[sq];B[sm]) (;W[sp];B[sq]) (;W[rk];B[sq]) (;W[pm];B[sm]))) (;W[qs];B[rl] (;W[rk];B[so] (;W[sq];B[sm]) (;W[sp];B[sq]) (;W[sl];B[sq])) (;W[os];B[so];W[sp];B[sq]) (;W[so];B[sm]) (;W[sl];B[so] (;W[sq];B[sm]) (;W[sp];B[sq]) (;W[rk];B[sq]))) (;W[os];B[rl] (;W[so];B[sm]) (;W[rk];B[so] (;W[sp];B[sq]) (;W[sq];B[sm]) (;W[sl];B[sq])) (;W[sl];B[so] (;W[sq];B[sm]) (;W[sp];B[sq]) (;W[rk];B[sq]) (;W[pm];B[sm]) (;W[pn];B[sm])) (;W[pm];B[so] (;W[pn];B[sm]) (;W[sp];B[sq]) (;W[rk];B[sm]) (;W[sq];B[sm])) (;W[pn];B[so] (;W[pm];B[sm]) (;W[sp];B[sq]) (;W[rk];B[sm]) (;W[sl];B[sm]) (;W[sq];B[sm]))) (;W[po];B[rl] (;W[pn];B[pm] (;W[rk];B[so] (;W[sq];B[sm]) (;W[sp];B[sq]) (;W[sl];B[sq])) (;W[so];B[sm])) (;W[pm];B[pn] (;W[so];B[sm]) (;W[rk];B[so] (;W[sq];B[sm]) (;W[sp];B[sq]) (;W[sl];B[sq])) (;W[sl];B[so] (;W[sq];B[sm]) (;W[sp];B[sq]) (;W[rk];B[sq]))) (;W[so];B[sm]) (;W[rk];B[so] (;W[sl];B[sq]) (;W[sp];B[sq]) (;W[sq];B[sm]) (;W[pm];B[sm]) (;W[pn];B[sm])) (;W[sl];B[so] (;W[rk];B[sq]) (;W[sq];B[sm]) (;W[pm];B[sm]) (;W[pn];B[sm])))) (;W[rl];B[sq]C[Ko; but White should be able to kill unconditionally.]) (;W[so];B[ss] (;W[sq];B[rl]TR[rm]TR[rn]TR[ro]TR[so]TR[sn]TR[sp]TR[sq]TR[sr]TR[rq]C[The marked stones are in atari.]) (;W[rl];B[sq]) (;W[rk];B[sq]) (;W[sl];B[sq])) (;W[sl];B[sq]C[Ko; but White should be able to kill unconditionally.]) (;W[rk];B[sq]C[Ko; but White should be able to kill unconditionally.]) (;W[pm];B[ss] (;W[rl];B[sq]) (;W[rk];B[sq]) (;W[sl];B[sq]) (;W[so];B[sq]) (;W[pn];B[sq]) (;W[sq];B[rl] (;W[rk];B[so] (;W[sl];B[sq]) (;W[sq];B[sm]) (;W[sp];B[sq])) (;W[so];B[sm]) (;W[sl];B[so] (;W[sq];B[sm]) (;W[sp];B[sq]) (;W[rk])) (;W[pn];B[so] (;W[sp];B[sq]) (;W[sq];B[sm]) (;W[rk];B[sm])))) (;W[pn];B[ss] (;W[pm];B[sq]) (;W[rl];B[sq]) (;W[so];B[sq]) (;W[sl];B[sq]) (;W[rk];B[sq]) (;W[sq];B[rl] (;W[rk];B[so] (;W[sq];B[sm]) (;W[sp];B[sq]) (;W[sl];B[sq])) (;W[so];B[sm]) (;W[pm]) (;W[sl];B[so] (;W[sq];B[sm]) (;W[sp];B[sq]) (;W[rk]) (;W[pm];B[sm])))) (;W[qs];B[ss] (;W[sq];B[rl] (;W[rk];B[so] (;W[sq];B[sm]) (;W[sp];B[sq]) (;W[sl];B[sq])) (;W[os];B[so];W[sp];B[sq]) (;W[so];B[sm]) (;W[sl];B[so] (;W[sq];B[sm]) (;W[sp];B[sq]) (;W[rk]))) (;W[rl];B[sq]) (;W[so];B[sq]) (;W[rk];B[sq]) (;W[sl];B[sq]) (;W[os];B[sq])) (;W[os];B[ss] (;W[rl];B[sq]) (;W[rk];B[sq]) (;W[sl];B[sq]) (;W[sq];B[rl] (;W[so];B[sm]) (;W[rk];B[so] (;W[sp];B[sq]) (;W[sq];B[sm]) (;W[sl];B[sq])) (;W[sl];B[so] (;W[sq];B[sm]) (;W[sp];B[sq]) (;W[rk]) (;W[pm];B[sm]) (;W[pn];B[sm])) (;W[pm];B[so] (;W[pn];B[sm]) (;W[sp];B[sq]) (;W[rk];B[sm]) (;W[sq];B[sm])) (;W[pn];B[so] (;W[pm]) (;W[sp];B[sq]) (;W[rk];B[sm]) (;W[sl]) (;W[sq];B[sm]))) (;W[qs];B[sq]) (;W[so];B[sq]))) (;W[so];B[ss]MA[rl]C[Black lives, and probably in sente too.]) (;W[rl];B[ss]) (;W[sl];B[ss]) (;W[rk];B[ss]) (;W[pm];B[ss]) (;W[pn];B[ss]) (;W[qq];B[rq])) (;W[sq];B[ss] (;W[so];B[rl]TR[rm]TR[rn]TR[sn]TR[so]TR[ro]TR[sp]TR[sq]TR[sr]TR[rq]TR[qq]C[The marked stones are in atari.]) (;W[rl];B[so] (;W[sp];B[sq]) (;W[sq];B[sp] (;W[rq];B[ps]) (;W[ps];B[rq])) (;W[rq];B[sp] (;W[sq];B[ps]) (;W[ps];B[sq])) (;W[ps];B[sp])) (;W[ps];B[so] (;W[rl];B[sp]) (;W[sp];B[sq]) (;W[sq];B[sp] (;W[rq];B[rl]) (;W[rl];B[rq]) (;W[rk];B[rq]) (;W[sl];B[rq])) (;W[rq] (;B[sp] (;W[sq];B[rl]) (;W[rl];B[sq]) (;W[sl];B[sq]) (;W[rk];B[sq])) (;B[rl];W[sp];B[rk])) (;W[sl];B[sp]) (;W[rk];B[sp])) (;W[sl];B[so] (;W[sp];B[sq]) (;W[sq];B[sp] (;W[rq];B[ps]) (;W[ps];B[rq])) (;W[ps];B[sp]) (;W[rq];B[sp] (;W[ps];B[sq]) (;W[sq];B[ps]))) (;W[rk];B[so] (;W[sp];B[sq]) (;W[sq];B[sp] (;W[rq];B[ps]) (;W[ps];B[rq])) (;W[rq];B[sp] (;W[sq];B[ps]) (;W[ps];B[sq])) (;W[ps];B[sp]))) (;W[rl];B[ss] (;W[so];B[sq]) (;W[sq];B[so] (;W[sp];B[sq]) (;W[sq];B[sp] (;W[rq];B[ps]) (;W[ps];B[rq])) (;W[rq];B[sp] (;W[sq]) (;W[ps];B[sq])) (;W[ps];B[sp])) (;W[ps];B[sq])) (;W[so];B[ss] (;W[rl];B[sq]) (;W[sq];B[rl]TR[rm]TR[rn]TR[sn]TR[so]TR[ro]TR[sp]TR[sq]TR[sr]TR[rq]TR[qq]C[The marked stones are in atari.]) (;W[ps];B[sq]) (;W[sl];B[sq]) (;W[rk];B[sq])) (;W[rk];B[ss] (;W[sq];B[so] (;W[sp];B[sq]) (;W[sq];B[sp] (;W[rq];B[ps]) (;W[ps])) (;W[rq];B[sp] (;W[sq]) (;W[ps])) (;W[ps])) (;W[so];B[sq]) (;W[ps];B[sq])) (;W[sl];B[ss] (;W[sq];B[so] (;W[sp];B[sq]) (;W[sq];B[sp] (;W[rq];B[ps]) (;W[ps])) (;W[ps]) (;W[rq];B[sp] (;W[ps]) (;W[sq]))) (;W[so];B[sq]) (;W[ps];B[sq])) (;W[pm];B[ss] (;W[sq];B[so] (;W[sp];B[sq]) (;W[sq];B[sp] (;W[rq];B[rl]) (;W[ps];B[rq]) (;W[rl]C[Black lives in sente...]MA[ps]MA[rq]) (;W[rk]C[Black lives in sente...]MA[ps]MA[rq]) (;W[sl]C[Black lives in sente...]MA[ps]MA[rq])) (;W[rq];B[sp] (;W[sq]MA[ps]MA[rl]C[Black lives in sente...];B[rl]) (;W[rl]C[Black lives in sente...]MA[sq]MA[ps]) (;W[ps];B[rl]))) (;W[rl];B[sq]) (;W[so];B[sq]) (;W[ps];B[sq]) (;W[pn];B[sq])) (;W[pn];B[ss] (;W[pm];B[sq]) (;W[po];B[pm] (;W[rl];B[sq]) (;W[so];B[sq]) (;W[ps];B[sq]) (;W[sl];B[sq]) (;W[rk];B[sq]) (;W[sq];B[so] (;W[sq];B[sp] (;W[rq];B[rl]) (;W[ps];B[rl]) (;W[rl]MA[rq]MA[ps]C[Black lives in sente...])) (;W[sp];B[sq]) (;W[rq];B[sp] (;W[sq];B[rl]) (;W[ps];B[rl]) (;W[rl]C[Black lives in sente...]MA[ps]MA[sq])) (;W[ps];B[rl] (;W[sp];B[rk]) (;W[sq];B[sm]) (;W[rk];B[sm]) (;W[rq];B[sm])) (;W[rl]C[Black lives in sente...]))) (;W[rl];B[sq]) (;W[so];B[sq]) (;W[sq];B[so] (;W[rl]C[Black lives in sente...]) (;W[sp];B[sq]) (;W[sq];B[sp] (;W[rl]C[Black lives in sente...]MA[rq]MA[ps]) (;W[rq];B[rl]) (;W[ps];B[rl]) (;W[rk]C[Black lives in sente...]MA[rq]MA[ps]) (;W[sl]C[Balck lives in sente...]MA[rq]MA[ps])) (;W[rq];B[sp] (;W[sq];B[rl]) (;W[ps];B[rl]) (;W[rl]C[Black lives in sente...]MA[sq]MA[ps]) (;W[rk]MA[sq]MA[ps]C[Black lives in sente...])) (;W[ps];B[rl];W[sp];B[rk])) (;W[ps];B[sq]) (;W[rk]) (;W[sl];B[sq])) (;W[ss];B[sq]) (;W[qs];B[ps] (;W[os];B[sq] (;W[rq];B[qq] (;W[rl];B[ss] (;W[so];B[sq]) (;W[sq];B[so] (;W[sp];B[sq]) (;W[sq];B[sp]))) (;W[sq];B[ss] (;W[so];B[rl]TR[rm]TR[rn]TR[ro]TR[sn]TR[so]TR[sp]TR[sq]TR[sr]TR[rq]C[The marked stones are in atari.]) (;W[rl];B[so] (;W[sp];B[sq]) (;W[sq];B[sp])) (;W[sl];B[so]) (;W[rk];B[so])) (;W[so];B[ss] (;W[rk];B[sq]) (;W[rl];B[sq]) (;W[sl];B[sq]) (;W[sq];B[rl]TR[rm]TR[rn]TR[ro]TR[sn]TR[so]TR[sp]TR[sq]TR[sr]TR[rq]C[The marked stones are in atari.])) (;W[rk];B[ss] (;W[so];B[sq]) (;W[sq];B[so]))) (;W[rl];B[ss]) (;W[so];B[ss])) (;W[sq];B[ss] (;W[so];B[rl]TR[rm]TR[rn]TR[ro]TR[sn]TR[so]TR[sp]TR[sq]TR[sr]TR[rq]TR[qq]C[The marked stones are in atari.]) (;W[rl];B[so]) (;W[rk];B[so]) (;W[sl];B[so]) (;W[os];B[so])) (;W[so];B[ss] (;W[sq];B[rl]TR[rm]TR[rn]TR[ro]TR[sn]TR[so]TR[sp]TR[sq]TR[sr]TR[rq]TR[qq]C[The marked stones are in atari.]) (;W[rk];B[sq]) (;W[sl];B[sq]) (;W[rl];B[sq]) (;W[os];B[sq])) (;W[rl];B[ss] (;W[sq];B[so]) (;W[so];B[sq]) (;W[os])) (;W[rk];B[ss] (;W[so];B[sq]) (;W[os];B[sq]) (;W[sq];B[so])) (;W[sl];B[ss] (;W[os];B[sq]) (;W[sq];B[so]) (;W[so];B[sq]))) (;W[po];B[ss] (;W[ps];B[sq]) (;W[sq];B[so] (;W[sq];B[sp];W[rq];B[rl]) (;W[sp];B[sq]) (;W[ps];B[sp]) (;W[pn];B[pm] (;W[sq];B[sp] (;W[rq];B[rl]) (;W[ps];B[rl]) (;W[rl]MA[rq]MA[ps]C[Black lives in sente...])) (;W[sp];B[sq]) (;W[rq];B[sp] (;W[sq]) (;W[ps];B[rl]) (;W[rl]C[Black lives in sente...]MA[ps]MA[sq])) (;W[ps];B[rl] (;W[sp];B[rk]) (;W[sq];B[sm]) (;W[rk];B[sm]) (;W[rq];B[sm])) (;W[rl]C[Black lives in sente...])) (;W[pm];B[pn])) (;W[so];B[sq]) (;W[rl];B[sq]) (;W[sl];B[sq]) (;W[rk];B[sq]) (;W[pn];B[pm] (;W[rl];B[sq]) (;W[so];B[sq]) (;W[ps];B[sq]) (;W[sl];B[sq]) (;W[rk];B[sq]) (;W[sq];B[so] (;W[sq];B[sp] (;W[rq];B[rl]) (;W[ps];B[rl]) (;W[rl]MA[rq]MA[ps]C[Black lives in sente...])) (;W[sp];B[sq]) (;W[rq];B[sp] (;W[sq]) (;W[ps];B[rl]) (;W[rl]C[Black lives in sente...]MA[ps]MA[sq])) (;W[ps];B[rl] (;W[sp];B[rk]) (;W[sq];B[sm]) (;W[rk];B[sm]) (;W[rq];B[sm])) (;W[rl]C[Black lives in sente...]))) (;W[pm];B[pn]))) (;W[sq];B[ss]) (;W[rl];B[sq]) (;W[ps];B[sq]) (;W[pm];B[sq]) (;W[pn];B[sq]) (;W[qs];B[sq]) (;W[rs];B[sq]) (;W[sm];B[sq])) (;W[sq];B[so] (;W[sn];B[sr] (;W[so];B[rl]TR[rm]TR[rn]TR[sn]TR[so]TR[ro]TR[sp]TR[sq]TR[rq]TR[qq]C[The marked stones are in atari.]) (;W[rl];B[so]) (;W[sl];B[so]) (;W[rk];B[so]) (;W[ps];B[so]) (;W[pn];B[pm] (;W[rl];B[so]) (;W[so];B[rl]TR[rm]TR[rn]TR[ro]TR[sn]TR[so]TR[sp]TR[sq]TR[rq]TR[qq]C[The marked stones are in atari.]) (;W[rk];B[so]) (;W[sl];B[so]) (;W[po];B[so]) (;W[ps];B[so])) (;W[pm];B[oo] (;W[pn];B[po] (;W[rl];B[so]) (;W[rk];B[so]) (;W[sl];B[so]) (;W[so];B[rl]) (;W[ps];B[so])) (;W[po];B[pn] (;W[so];B[rl]) (;W[rk];B[so]) (;W[sl];B[so]) (;W[rl];B[so])) (;W[so];B[rl]) (;W[rl];B[so]) (;W[rk];B[so]) (;W[sl];B[so]) (;W[ps];B[so])) (;W[po];B[so])) (;W[rl];B[sr]) (;W[sl];B[sr]) (;W[rk];B[sr]) (;W[ps];B[sr]) (;W[sr];B[ss])) (;W[ps];B[sq]) (;W[so];B[sq]) (;W[rl];B[sq]) (;W[rk];B[sq]) (;W[rs];B[sq] (;W[ps];B[qs]) (;W[qs];B[ps]) (;W[sr];B[so]) (;W[rq];B[so]) (;W[so];B[qs])))