(;AB[fs]AB[gs]AB[gr]AB[hr]AB[gq]AB[fq]AB[eq]AB[iq]AB[ip]AB[io]AB[in]AB[im]AB[jr]AB[jm]AB[hm]AB[gm]AB[gl]AB[kl]AB[ll]AB[lj]AB[lk]AB[ki]AB[kh]AB[jh]AB[jg]AB[jf]AB[fh]AB[eh]AB[fg]AB[gg]AB[hg]AB[ff]AB[ee]AB[ed]AB[fd]AB[fc]AB[gc]AB[hd]AB[ie]AW[gd]AW[fe]AW[ge]AW[hf]AW[ig]AW[if]AW[ih]AW[he]AB[df]AB[dg]AW[dh]AW[di]AW[ei]AW[fi]AW[fl]AW[el]AW[dl]AW[ek]AW[ej]AW[fm]AW[gn]AW[hn]AW[en]AW[eo]AW[fo]AW[fp]AW[gp]AW[hp]AW[ep]AB[dp]AB[do]AB[dn]AB[dm]AB[em]AB[cl]AB[ck]AB[ch]AB[ci]AB[bi]AB[bk]AB[aj]AB[dj]AB[dk]AB[cn]AB[bn]AB[bo]AB[ao]AB[ap]AW[aq]AW[bq]AW[bp]AW[cp]AW[co]AW[dq]AB[br]AW[cr]AW[cq]AW[ds]AW[es]AW[er]AW[fr]AW[gk]AB[hk]AW[hl]AW[il]AW[jl]AW[kk]AW[kj]AW[gh]AW[hh]AW[ii]AW[ji]AW[km]AW[lm]AW[kn]AW[ko]AW[jo]AW[kq]AW[lq]AW[kr]AW[mr]AW[ms]AW[mp]AB[id]AB[mi]AW[ai]AW[ah]AW[ag]AW[bh]AW[cg]AW[cf]AW[ce]AW[de]AW[bf]AW[cd]AW[bc]AW[bb]AW[ba]AW[ca]AB[dd]AB[cc]AB[cb]AB[db]AB[da]AB[lc]AB[kb]AB[mb]AW[mm]AB[ml]LB[gl:1]LB[gk:2]LB[hk:3]C[Black's bottom group has only had one eye all game, so he tries a desperate manoeuvre (1-2-3). How should White respond?]AW[hq]AP[goproblems]
(;W[jk];B[gj]
(;W[fk];B[ij];W[jj];B[gi]C[Catastrophe. This is what happened in the game.])
(;W[fj];B[fk]C[White cannot hope to win this ko.])
(;W[hj];B[fk];W[ik];B[gi];W[gk]C[Ko.]))
(;W[hj];B[ik])
(;W[gj];B[jk])
(;W[ij];B[ik])
(;W[ik];B[jj];W[ij];B[jk]C[Good job! Black only gets a few points.RIGHT])
(;W[jj];B[gj]
(;W[fk];B[ij];W[jk];B[gi]C[Catastrophe. This is what happened in the game.])
(;W[fj];B[fk]C[White cannot hope to win this ko.])))