invalid problem set
Problem 13972
Created 2010-09-23
Name find the key point
Source game on KGS Namii [5D] vs goeurope [1D]
Rating
Difficulty 9 dan
Average Solve Time 76 secs
User Attempts
29 / 239
Solve Ratio Rating 2 dan
rating history
This is a game from KGS, w neglected to play a move on the central dragon. Find the key point (after some initial ataris) and break into w central territory.
(;AB[sb]AB[ra]AB[qb]AB[qc]AB[ob]AB[oc]AB[pd]AB[pe]AB[qe]AB[re]AB[rf]AB[rg]AB[sf]AB[sh]AB[qh]AB[qi]AB[rj]AB[rk]AB[rl]AB[qk]AB[sk]AB[pj]AB[oj]AB[nj]AB[ok]AB[ni]AB[oh]AB[ng]AB[nf]AB[ne]AB[mf]AB[od]AB[na]AB[nc]AB[mc]AB[lc]AB[ld]AB[lb]AB[mb]AB[ka]AB[ja]AB[ia]AB[ha]AB[ga]AB[hb]AB[hc]AB[ic]AB[jb]AB[gc]AB[gd]AB[ge]AB[gf]AB[he]AB[ff]AB[fg]AB[fd]AB[ed]AB[dd]AB[ec]AW[fc]AW[fb]AW[gb]AW[eb]AW[fa]AW[db]AW[cb]AW[dc]AW[cc]AW[bc]AW[ab]AW[ba]AB[ac]AB[ad]AB[bd]AW[cd]AB[de]AB[ce]AB[be]AB[ah]AB[ag]AB[bg]AB[cg]AB[ch]AB[dh]AB[eh]AW[eg]AW[fi]AW[fh]AW[gh]AW[gg]AW[hg]AW[hf]AB[ei]AB[ej]AB[dj]AB[dk]AB[fj]AB[gj]AB[gi]AB[hi]AB[hh]AB[ii]AB[hj]AW[ai]AW[bi]AW[bh]AW[ci]AW[cj]AW[ck]AW[dl]AW[dm]AW[em]AW[fm]AW[en]AW[ek]AW[bm]AW[cm]AW[cn]AW[bo]AW[ao]AB[ap]AB[bp]AB[cp]AB[co]AB[bq]AB[cq]AB[dp]AB[do]AB[dn]AB[ep]AB[eo]AB[fo]AB[fn]AB[gp]AB[go]AB[gn]AB[gm]AB[gl]AB[gk]AW[hp]AW[ho]AW[hn]AW[hm]AW[hl]AW[hk]AW[ij]AW[ji]AW[ih]AW[ig]AW[ie]AW[hd]AW[id]AW[kd]AW[kc]AW[kb]AW[jc]AW[lf]AW[le]AW[me]AW[md]AW[nd]AW[mg]AW[mh]AW[mi]AW[mj]AW[nh]AW[jk]AW[il]AW[jm]AW[in]AW[jo]AW[kn]AW[as]AW[ar]AW[aq]AW[br]AW[cr]AW[cs]AW[ds]AW[es]AW[dq]AW[eq]AW[fq]AW[fp]AW[gq]AW[fr]AW[fs]AW[gs]AB[gr]AB[hr]AB[hq]AB[ir]AB[hs]AB[ip]AB[iq]AB[jq]AB[js]AB[kr]AB[lr]AB[mr]AB[ls]AB[kp]AB[lp]AB[mp]AB[mq]AB[lo]AB[ln]AW[lm]AW[ll]AW[kl]AW[ml]AW[mo]AW[mn]AW[nn]AW[np]AW[nq]AW[nr]AW[ms]AW[ns]AW[or]AW[pq]AW[qp]AW[qq]AW[qr]AW[qs]AW[rp]AB[rq]AB[rr]AB[rs]AB[sr]AB[sp]AB[qo]AB[ro]AB[so]AB[qn]AB[rn]AB[sn]AB[qm]AB[sm]AW[pm]AW[pl]AW[pk]AW[ql]AW[ol]AW[nk]AW[po]AW[pn]AB[lk]AW[qf]AW[sd]AW[la]AW[jf]AB[jp]AW[ko]AW[io]AP[goproblems]
(;B[ke]C[FORCE];W[jd]C[FORCE];B[lg];W[kf]C[FORCE];B[mk]C[FORCE];W[nl]
(;B[kj]
(;W[kh]
(;B[lh];W[li]
(;B[jj];W[ki];B[ik]C[RIGHT];W[lj];B[ij];W[kk]C[RIGHT])
(;B[ki];W[kg];B[jj];W[jh];B[ik];W[lj];B[ij];W[kk]C[RIGHT]))
(;B[jj];W[ik]
(;B[ki];W[jh];B[lh];W[kk]
(;B[lj];W[li]C[CHOICE])
(;B[li];W[lj]C[CHOICE]))
(;B[lh];W[li];B[ki];W[kg];B[jh];W[lj];B[ji];W[kk];B[jg];W[if]C[RIGHT]))
(;B[ki];W[jj];B[lh];W[kk]
(;B[lj];W[li]C[CHOICE])
(;B[li];W[lj]C[CHOICE])
(;B[kg];W[jh]
(;B[li];W[lj]C[CHOICE])
(;B[lj];W[li]C[CHOICE]))))
(;W[ki]
(;B[li];W[lh]
(;B[jj];W[kk];B[ik];W[lj]C[CHOICE];B[ij]C[RIGHT])
(;B[kh];W[kg];B[jj];W[jh];B[ik];W[lj];B[ij];W[kk]C[RIGHT]))
(;B[jj];W[ik];B[li];W[kk];B[jh];W[kh]))
(;W[lj]
(;B[jj];W[ik]
(;B[jh]
(;W[ki]
(;B[jg];W[if];B[kg]C[RIGHT];W[lh];B[je];W[kk]C[RIGHT])
(;B[kh];W[kk];B[jg];W[if]C[CHOICE]))
(;W[kh];B[ki];W[kg]C[CHOICE]))
(;B[ki];W[jh];B[kk];W[kh]C[CHOICE]))
(;B[jh];W[kh]
(;B[jj];W[ki];B[ik];W[kk];B[ij]C[RIGHT])
(;B[ki];W[jj];B[lh];W[kk];B[kg];W[jg]C[CHOICE])))
(;W[lh];B[jj];W[ik]
(;B[jh];W[ki]
(;B[kh];W[kg];B[li]
(;W[jg]C[RIGHT])
(;W[ji]C[RIGHT]))
(;B[jg];W[if];B[kg];W[kh]C[CHOICE]))
(;B[kh];W[jh]
(;B[ki];W[kg]C[CHOICE])
(;B[kg];W[ki];B[li];W[jg]C[CHOICE]))
(;B[ki];W[jh];B[kh];W[kg]C[CHOICE]))
(;W[kg]
(;B[jj];W[ik]
(;B[ki];W[jh];B[lh];W[kk];B[lj]C[RIGHT])
(;B[jh];W[ki];B[kh];W[li]
(;B[lh];W[jg]C[CHOICE])
(;B[lj];W[kk]C[CHOICE])))
(;B[lh];W[li];B[jj]
(;W[ki];B[ik];W[lj];B[ij];W[kk]C[RIGHT])
(;W[ik];B[ki];W[kh];B[jh];W[lj];B[ji];W[kk];B[jg];W[if]C[RIGHT])))
(;W[jj];B[lh];W[kk];B[lj]C[RIGHT])
(;W[kk];B[jj];W[ik];B[jh];W[ki];B[jg];W[if];B[kg];W[lh];B[je]C[RIGHT]))
(;B[kh];W[lj]
(;B[kj];W[ki];B[jh];W[kk];B[jg];W[if]C[CHOICE])
(;B[jh];W[ki]
(;B[jg];W[if]C[CHOICE])
(;B[kj];W[kk];B[jg];W[if]C[CHOICE])))
(;B[lh];W[lj]
(;B[kj];W[kk]
(;B[jh];W[jg];B[ki];W[kh]C[CHOICE])
(;B[ki];W[jj]
(;B[jh];W[jg]C[CHOICE])
(;B[jg];W[jh]C[CHOICE]))
(;B[jj];W[ki]))
(;B[ki];W[jh];B[kj];W[kk];B[jj];W[ik]C[CHOICE])
(;B[jh];W[kh]
(;B[ki];W[jg];B[kj];W[kk]C[CHOICE])
(;B[kj];W[kk];B[ki];W[jg]C[CHOICE]))
(;B[jg];W[jh]))
(;B[lj];W[lh]
(;B[kh];W[kg]
(;B[ki];W[jh]C[CHOICE])
(;B[li];W[lg]
(;B[ki];W[jh]C[CHOICE])
(;B[jh];W[ki];B[jj];W[kj]C[CHOICE])))
(;B[ki];W[kh])
(;B[jh];W[kh])
(;B[kj];W[jj]))
(;B[jh];W[kh]
(;B[ki];W[jg]
(;B[kj];W[jj];B[lh];W[kk]
(;B[li];W[lj]C[CHOICE])
(;B[lj];W[li]C[CHOICE]))
(;B[lh];W[lj]C[CHOICE];B[kj];W[kk]C[CHOICE]))
(;B[lh];W[lj]
(;B[kj];W[kk];B[ki];W[jg]C[CHOICE])
(;B[kg];W[jg]C[CHOICE])
(;B[ki];W[jg];B[kj];W[kk]C[CHOICE]))
(;B[kj];W[ki]C[CHOICE])
(;B[kg];W[jg];B[kj];W[jj];B[lh];W[li]C[CHOICE]))
(;B[li];W[lj];B[jh];W[kh]
(;B[ki];W[jg];B[kj];W[kk];B[jj];W[lh]C[CHOICE])
(;B[kj];W[kk];B[ki];W[jj]C[CHOICE]))
(;B[kk]C[];W[kj])
(;B[kg];W[kh])
(;B[ki];W[kh]
(;B[kj];W[jj];B[lh];W[kk]
(;B[lj];W[li]C[CHOICE])
(;B[li];W[lj]C[CHOICE])
(;B[kg];W[jh]
(;B[li];W[lj]C[CHOICE])
(;B[lj];W[li]C[CHOICE])))
(;B[lh];W[lj]
(;B[kj];W[kk];B[kg];W[jh]C[CHOICE])
(;B[kg];W[jh];B[kj];W[kk]C[CHOICE]))))
(;B[mk]C[FORCE];W[nl]C[FORCE]
(;B[ke]C[FORCE];W[jd]C[FORCE];B[lg];W[kf]C[FORCE]
(;B[kj]
(;W[kh]
(;B[lh];W[li]
(;B[jj];W[ki];B[ik]C[RIGHT];W[lj];B[ij];W[kk]C[RIGHT])
(;B[ki];W[kg];B[jj];W[jh];B[ik];W[lj];B[ij];W[kk]C[RIGHT]))
(;B[jj];W[ik]
(;B[ki];W[jh];B[lh];W[kk]
(;B[lj];W[li]C[CHOICE])
(;B[li];W[lj]C[CHOICE]))
(;B[lh];W[li];B[ki];W[kg];B[jh];W[lj];B[ji];W[kk];B[jg];W[if]C[RIGHT]))
(;B[ki]))
(;W[ki]
(;B[li];W[lh]
(;B[jj];W[kk];B[ik];W[lj]C[CHOICE];B[ij]C[RIGHT])
(;B[kh];W[kg];B[jj];W[jh];B[ik];W[lj];B[ij];W[kk]C[RIGHT]))
(;B[jj];W[ik];B[li];W[kk];B[jh];W[kh]))
(;W[lj]
(;B[jj];W[ik]
(;B[jh]
(;W[ki]
(;B[jg];W[if];B[kg]C[RIGHT];W[lh];B[je];W[kk]C[RIGHT])
(;B[kh];W[kk];B[jg];W[if]C[CHOICE]))
(;W[kh];B[ki];W[kg]C[CHOICE]))
(;B[ki];W[jh];B[kk];W[kh]C[CHOICE]))
(;B[jh];W[kh]
(;B[jj];W[ki];B[ik];W[kk];B[ij]C[RIGHT])
(;B[ki];W[jj];B[lh];W[kk];B[kg];W[jg]C[CHOICE])))
(;W[lh];B[jj];W[ik]
(;B[jh];W[ki]
(;B[kh];W[kg];B[li]
(;W[jg]C[RIGHT])
(;W[ji]C[RIGHT]))
(;B[jg];W[if];B[kg];W[kh]C[CHOICE]))
(;B[kh];W[jh]
(;B[ki];W[kg]C[CHOICE])
(;B[kg];W[ki];B[li];W[jg]C[CHOICE]))
(;B[ki];W[jh];B[kh]))
(;W[kg]
(;B[jj];W[ik]
(;B[ki];W[jh];B[lh];W[kk];B[lj]C[RIGHT])
(;B[jh];W[ki];B[kh];W[li]
(;B[lh];W[jg]C[CHOICE])
(;B[lj];W[kk]C[CHOICE])))
(;B[lh];W[li];B[jj]
(;W[ki];B[ik];W[lj];B[ij];W[kk]C[RIGHT])
(;W[ik];B[ki];W[kh])))
(;W[jj];B[lh];W[kk];B[lj]C[RIGHT])
(;W[kk];B[jj];W[ik];B[jh];W[ki];B[jg];W[if];B[kg];W[lh];B[je]C[RIGHT]))
(;B[kh];W[lj]
(;B[kj];W[ki];B[jh];W[kk];B[jg];W[if]C[CHOICE])
(;B[jh];W[ki]
(;B[jg];W[if]C[CHOICE])
(;B[kj])))
(;B[lh];W[lj]
(;B[kj];W[kk]
(;B[jh];W[jg];B[ki];W[kh]C[CHOICE])
(;B[ki];W[jj]
(;B[jh];W[jg]C[CHOICE])
(;B[jg];W[jh]C[CHOICE]))
(;B[jj];W[ki]))
(;B[ki];W[jh];B[kj];W[kk];B[jj];W[ik]C[CHOICE])
(;B[jh];W[kh]
(;B[ki];W[jg];B[kj];W[kk]C[CHOICE])
(;B[kj];W[kk];B[ki];W[jg]C[CHOICE]))
(;B[jg];W[jh]))
(;B[lj];W[lh]
(;B[kh];W[kg]
(;B[ki];W[jh]C[CHOICE])
(;B[li];W[lg]
(;B[ki];W[jh]C[CHOICE])
(;B[jh];W[ki];B[jj];W[kj]C[CHOICE])))
(;B[ki];W[kh])
(;B[jh];W[kh])
(;B[kj];W[jj]))
(;B[jh];W[kh]
(;B[ki];W[jg]
(;B[kj];W[jj];B[lh];W[kk]
(;B[li];W[lj]C[CHOICE])
(;B[lj];W[li]C[CHOICE]))
(;B[lh];W[lj]C[CHOICE]))
(;B[lh];W[lj]
(;B[kj])
(;B[kg];W[jg]C[CHOICE])
(;B[ki]))
(;B[kj];W[ki]C[CHOICE])
(;B[kg];W[jg];B[kj];W[jj];B[lh];W[li]C[CHOICE]))
(;B[li];W[lj];B[jh];W[kh]
(;B[ki];W[jg];B[kj];W[kk];B[jj];W[lh]C[CHOICE])
(;B[kj];W[kk];B[ki];W[jj]C[CHOICE]))
(;B[kk]C[];W[kj])
(;B[kg];W[kh])
(;B[ki];W[kh]
(;B[kj];W[jj];B[lh];W[kk]
(;B[lj];W[li]C[CHOICE])
(;B[li];W[lj]C[CHOICE])
(;B[kg];W[jh]
(;B[li];W[lj]C[CHOICE])
(;B[lj];W[li]C[CHOICE])))
(;B[lh];W[lj]
(;B[kj];W[kk];B[kg];W[jh]C[CHOICE])
(;B[kg];W[jh];B[kj];W[kk]C[CHOICE]))))
(;B[lg];W[kf]
(;B[kj];W[lj]
(;B[jj];W[ik];B[jh];W[ki];B[jg];W[if]
(;B[kg];W[el]
(;B[lh];W[kk]C[CHOICE])
(;B[je];W[lh];B[ke];W[jd];B[je];W[kh]C[CHOICE]))
(;B[lh];W[kk];B[kg];W[el];B[je];W[li];B[ke];W[jd]
(;B[ke];W[kh]C[CHOICE])
(;B[je];W[kh]C[CHOICE])))
(;B[jh];W[jj]
(;B[ki];W[kh])
(;B[lh];W[kk];B[jg];W[if];B[kg];W[el];B[je];W[li];B[ke];W[jd]
(;B[je];W[kh]C[CHOICE])
(;B[ke];W[kh]C[CHOICE]))))
(;B[lj];W[lh];B[kh];W[kg]C[CHOICE])
(;B[ki];W[lj];B[jh];W[jj];B[jg];W[if];B[kg];W[el];B[je];W[lh];B[ke];W[jd];B[je];W[kh]C[CHOICE])
(;B[jh])))
(;B[lg]C[FORCE];W[kf]
(;B[mk]C[FORCE];W[nl]
(;B[kj];W[lj]
(;B[jj];W[ik];B[jh];W[ki];B[jg];W[if]
(;B[kg];W[el]
(;B[lh];W[kk]C[CHOICE];B[je];W[li];B[ke];W[jd]
(;B[ke];W[kh]C[CHOICE])
(;B[je];W[kh]C[CHOICE]))
(;B[je];W[lh];B[ke];W[jd];B[je];W[kh]C[CHOICE]))
(;B[lh];W[kk];B[kg];W[el];B[je];W[li];B[ke];W[jd]
(;B[ke];W[kh]C[CHOICE])
(;B[je];W[kh]C[CHOICE])))
(;B[jh];W[jj]
(;B[ki];W[kh])
(;B[lh];W[kk];B[jg];W[if];B[kg];W[el];B[je];W[li];B[ke];W[jd]
(;B[je];W[kh]C[CHOICE])
(;B[ke];W[kh]C[CHOICE]))))
(;B[lj];W[lh];B[kh];W[kg]C[CHOICE])
(;B[ki];W[lj];B[jh];W[jj];B[jg];W[if];B[kg];W[el];B[je];W[lh];B[ke];W[jd];B[je];W[kh]C[CHOICE])
(;B[jh];W[lh]
(;B[ki];W[jj];B[kh];W[kg];B[jg];W[if];B[lj];W[el];B[li];W[lg];B[je];W[kj];B[ke];W[jd];B[je];W[kk]C[CHOICE])
(;B[jg];W[if];B[ki];W[jj]
(;B[kh];W[kg]C[CHOICE])
(;B[kg];W[kh]C[CHOICE]))))
(;B[kj];W[lj]
(;B[jj];W[ik];B[jh];W[ki];B[jg];W[if];B[kg];W[lh]C[CHOICE])
(;B[jh];W[ki]C[CHOICE])
(;B[ki];W[jj]
(;B[kh];W[kk];B[jh];W[jg]C[CHOICE])
(;B[jh];W[kh]C[CHOICE]))))
(;B[kj]C[FORCE];W[kg];B[jj]C[FORCE];W[ik]C[FORCE];B[mk];W[nl];B[jh];W[ki];B[kh];W[li]
(;B[ke];W[jd]C[CHOICE])
(;B[lg];W[lh]C[CHOICE]))
(;B[jh];W[kf]C[FORCE];B[mk];W[nl]
(;B[ki];W[jj]
(;B[lg];W[lj]C[CHOICE];B[jg];W[if];B[kg];W[el];B[je];W[lh];B[ke];W[jd];B[je];W[kh]C[CHOICE])
(;B[jg];W[if]
(;B[lg];W[lj]C[CHOICE];B[kg];W[el];B[je];W[lh];B[ke];W[jd];B[je];W[kh]C[CHOICE])
(;B[kh];W[lg]C[CHOICE])))
(;B[kj];W[jj]
(;B[lg];W[lh])
(;B[jg];W[if];B[lg];W[lh]C[CHOICE]))
(;B[lg];W[lh]
(;B[ki];W[jj];B[kh];W[kg];B[jg];W[if];B[lj];W[el];B[li];W[lg];B[je];W[kj];B[ke];W[jd];B[je];W[kk]C[CHOICE])
(;B[jg];W[if];B[ki];W[jj]
(;B[kh];W[kg]C[CHOICE];B[lj];W[el];B[li];W[lg];B[je];W[kj];B[ke];W[jd];B[je];W[kk]C[CHOICE])
(;B[kg];W[kh]C[CHOICE])))
(;B[jg];W[if]
(;B[lg];W[lj];B[ki];W[jj]C[CHOICE];B[kg];W[el];B[je];W[lh];B[ke];W[jd];B[je];W[kh]C[CHOICE])
(;B[ki];W[jj]C[CHOICE]
(;B[lg];W[lj]C[CHOICE])
(;B[kh];W[lg]C[CHOICE])))))
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