(;AB[bb]AB[da]AB[db]AB[dc]AB[cd]AB[bd]AB[ad]AB[ae]AB[af]AB[ag]AB[bg]AB[cg]AB[ch]AB[ci]AB[dh]AB[ar]AB[ap]AB[bp]AB[bo]AB[cp]AB[cq]AB[cr]AB[dr]AB[ds]AB[es]AB[dm]AB[ck]AB[dj]AB[dk]AB[ej]AB[ek]AB[el]AB[fk]AB[gk]AB[hk]AB[fn]AB[gn]AB[hn]AB[ho]AB[im]AB[jl]AB[jj]AB[jk]AB[kk]AB[ij]AB[hl]AB[gl]AB[gm]AB[gj]AB[fi]AB[fh]AB[fg]AB[hg]AB[gg]AB[gf]AB[hf]AB[if]AB[ge]AB[gd]AB[gc]AB[fc]AB[fd]AB[ie]AB[id]AB[jd]AB[jc]AB[jb]AB[ja]AB[ia]AB[ka]AB[lb]AB[lc]AB[mb]AB[nc]AB[nd]AB[md]AB[oc]AB[pd]AB[qc]AB[qe]AB[pf]AB[pg]AB[og]AB[ng]AB[nh]AB[mh]AB[mi]AB[lh]AB[lg]AB[lf]AB[kg]AB[qj]AB[oi]AB[oj]AB[ok]AB[ol]AB[sr]AB[sq]AB[sp]AB[rq]AB[qp]AB[ro]AB[qo]AB[qn]AB[pn]AB[on]AB[om]AB[nl]AW[ao]AW[co]AW[cn]AW[bn]AW[an]AW[dl]AW[cl]AW[bl]AW[bk]AW[bj]AW[bi]AW[bh]AW[ah]AW[cj]AW[fl]AW[fm]AW[em]AW[en]AW[dp]AW[dq]AW[er]AW[fq]AW[fs]AW[fo]AW[go]AW[hp]AW[io]AW[in]AW[jn]AW[jm]AW[kl]AW[ml]AW[nk]AW[lk]AW[nj]AW[mj]AW[lj]AW[kj]AW[ni]AW[li]AW[ki]AW[ji]AW[ii]AW[hi]AW[gi]AW[hj]AW[gh]AW[hh]AW[ih]AW[kh]AW[jg]AW[ig]AW[jf]AW[kf]AW[ke]AW[le]AW[me]AW[mf]AW[nf]AW[of]AW[oe]AW[od]AW[pe]AW[kb]AW[kc]AW[kd]AW[ld]AW[di]AW[ei]AW[eh]AW[eg]AW[dg]AW[df]AW[cf]AW[bf]AW[be]AW[ce]AW[dd]AW[ed]AW[ee]AW[fe]AW[ff]AW[ec]AW[eb]AW[fb]AW[fa]AW[gb]AW[hb]AW[ha]AW[ib]AW[ic]AW[hc]AW[hd]AW[he]AW[nm]AW[nn]AW[oo]AW[po]AW[pp]AW[np]AW[kq]AW[qq]AW[qr]AW[rr]AW[rs]AW[ss]LB[eo:D]C[White's turn. White can pass and win with 1.5 points. Or should white protect any of the cutting points and win by only 0.5 points? If you want to defend play at any D. If pass play P.]LB[je:P]LB[gp:D]LB[ip:D]LB[km:D]LB[pq:D]AP[goproblems]
(;W[eo]C[Right. Navigate the solution to find out how this defense changes things.RIGHT])
(;W[je];B[pq]C[Now defend yourself.]
(;W[oq];B[pr]C[Wrong])
(;W[pr];B[oq]
(;W[nq];B[or];W[nr];B[ps]C[Wrong])
(;W[or];B[nq]
(;W[mq];B[mo]
(;W[nr];B[no];W[op];B[mm]C[Wrong])
(;W[no];B[mp]
(;W[ln];B[mr];W[lq];B[nr];W[lr];B[os];W[ms];B[ps]C[Wrong])
(;W[mm];B[mr];W[lq];B[nr]
(;W[lr];B[os]
(;W[ms];B[ps]C[Wrong])
(;W[op];B[ps]C[Wrong]))
(;W[ns];B[ms];W[lr];B[os]C[Wrong]))
(;W[lq];B[mn]
(;W[mm];B[eo];W[dn];B[gp];W[fp];B[ip];W[hq];B[km]
(;W[kn]C[You need to let this stone go and lose by 4.5 points.];B[ll]C[You need to let this stone go and lose by 4.5 points.];W[lm];B[kl])
(;W[ll];B[kn]C[I you protect that stone you give four others and a lot of teritorry];W[jo];B[jp];W[ko];B[kp];W[lo];B[lp];W[ln];B[lm]))
(;W[nr]
(;B[km];W[ll])
(;B[eo];W[dn];B[gp];W[fp];B[ip];W[hq];B[km];W[ll];B[kn];W[jo];B[jp];W[ko];B[kp];W[lo];B[lp])))
(;W[nr];B[lq]
(;W[mr];B[eo];W[dn];B[gp];W[fp];B[ip];W[hq];B[km];W[ll];B[kn];W[jo];B[jp];W[ko];B[kp];W[lo];B[ln])
(;W[op];B[eo];W[dn];B[gp];W[fp];B[ip];W[hq];B[km];W[ll];B[kn];W[jo];B[jp];W[ko];B[kp];W[lo];B[ln]))))
(;W[nr];B[mq]
(;W[lq];B[mo];W[no];B[mn];W[mm];B[km];W[ll];B[ip];W[hq];B[kn];W[jo];B[jp];W[ko];B[kp];W[lo];B[lp])
(;W[mp];B[lq]
(;W[lr];B[mr];W[ms];B[kr];W[ks];B[ls]C[Ko. Black has a lot more threats.])
(;W[kr];B[lp];W[lr];B[km];W[ll];B[ip];W[hq];B[kn];W[jo];B[jp];W[ko];B[lo];W[kp];B[mm]
(;W[mn];B[no];W[mo];B[op])
(;W[lm];B[mn];W[no];B[op])
(;W[ln];B[mn];W[no];B[op]C[CHOICE])))
(;W[lp];B[mr]
(;W[ms];B[lr]MA[ns]MA[ps])
(;W[lr];B[ns])))
(;W[mr];B[mq];W[lr];B[mo];W[no];B[mn];W[mm];B[km];W[ll];B[ip];W[gp];B[kn];W[jo];B[jp];W[ko];B[kp]))
(;W[nr];B[or];W[os];B[ps])))
(;W[ip]C[Right. Navigate the solution to find out how this defense changes things.RIGHT])
(;W[pq]C[Right. Navigate the solution to find out how this defense changes things.RIGHT])
(;W[km]C[Right. Navigate the solution to find out how this defense changes things.RIGHT])
(;W[gp]C[Right. Navigate the solution to find out how this defense changes things.RIGHT]))