(;GM[1]FF[4]CA[UTF-8]AP[CGoban:3]ST[2] RU[Japanese]SZ[19]KM[0.50] AW[qa][ib][jb][mb][rb][hc][qc][cd][jd][nd][od][ke][qe][re][df][ff][pf][bg][cg][dg][gg][hg][kg][lg][ng][ah][hi][ki][ri][si][bj][cj][jj][nj][oj][pj][qj][dk][jk][ok][dl][jl][rl][sl][hm][jm][sm][bn][cn][en][jn][on][rn][sn][qo][ro][so][ap][hp][kp][lp][mp][op][qp][eq][rq][ar][ir][mr][or][ms]AB[ra][hb][lb][fc][lc][bd][ld][ce][de][fe][le][me][oe][pe][bf][mf][of][og][dh][oh][ph][qh][rh][sh][di][mi][ni][oi][pi][aj][fj][lj][ak][ek][lk][rk][sk][al][el][il][pl][ql][am][bm][em][qm][rm][dn][fn][mn][co][fo][ko][oo][bp][cp][ep][pp][sp][fq][pq][qq][sq][cr][nr][pr][bs][ns][os][ps]KK[^Bestiary^Hatsuyoron^Puzzles^Seki] (;B[po]C[It is not clear that this is the starting point. Here is an example of what happens if Black begins elsewhere] (;W[rr] ;B[qk] ;W[ml] ;B[ll]C[The black group dies if it is cut] ;W[mm] ;B[lm] ;W[nn] ;B[no] ;W[mo] ;B[ln]C[Looks like it will end in semeai, but...] ;W[pn] ;B[qn] ;W[rp] (;B[ol] ;W[nl] ;B[nm] ;W[om] (;B[mj]C[A very subtle move (another godlike move, actually) : it will make a difference in a hundred moves, if Black choose to sacrifice this group in the end, because in that case, she will have loss one stone less... ] ;W[nk] (;B[np] ;W[rs] (;B[sr] ;W[oq] ;B[mq] (;W[lr]C[Of course, White cannot block :] ;B[lq]C[Idem. At this stage, losing the fight end the game, as all the groups involved are too big. But how can Black get out?] ;W[kr] ;B[kq] (;W[jp] ;B[jq] (;W[jr] ;B[iq] ;W[hq] ;B[gr] (;W[hr]C[Strange connection, but...] ;B[ip] (;W[jo] ;B[io] ;W[ho] ;B[in] (;W[hn]C[Same problem, or else : ] ;B[im] ;W[hl] ;B[ik] ;W[hk] ;B[ij] (;W[hj]C[Idem :] ;B[ii] ;W[ih] ;B[ji] ;W[kj] ;B[jh] ;W[kh] ;B[jg] (;W[jf]C[White must keep this group down to two liberties :] ;B[ig] ;W[hh] ;B[if] ;W[ie] ;B[hf] ;W[he] ;B[gf] ;W[ge] ;B[fg] ;W[ef] ;B[fh] (;W[rg]C[Is this the best solution? All those variations will be reanalysed after the German group get a definitive conclusion] ;B[ks]C[This is a transmission semeai : groups outside of the seki fight at distance] ;W[mc] ;B[pd] ;W[pc] ;B[la] ;W[mg] ;B[hs] ;W[ne] ;B[nf] ;W[kb] (;B[gq]C[Moreover, the details of this semeai are dreadfully complex. Why should Black not push at N1 ?] ;W[qg] ;B[gp] ;W[pg] ;B[go] ;W[sg] ;B[gn]C[Now, it is a straight race] ;W[ma] ;B[gm] ;W[ka] ;B[gl] ;W[kc] ;B[gk] ;W[md] ;B[gj] ;W[kd] ;B[gi] (;W[nq]C[Seems better] ;B[mq] (;W[oq] ;B[qr] ;W[nq] ;B[qs] ;W[lq]) (;W[lf] ;B[qr] ;W[nh] ;B[qs] ;W[ss] ;B[sq] ;W[li] ;B[sp] ;W[mh] ;B[sr] ;W[kk] ;B[pm] ;W[nm] ;B[rj] ;W[qi] ;B[sj] ;W[kl] ;B[pk] ;W[gb] ;B[fb] ;W[fa] ;B[ea] ;W[ga] ;B[gc] ;W[ha] ;B[ec] ;W[ee] ;B[fd] ;W[dd] ;B[cc] ;W[ed] ;B[dc] ;W[cm] ;B[dm] ;W[bo] ;B[bq] ;W[aq] ;B[is] ;W[js] ;B[gs] ;W[af] ;B[ae] ;W[cf] ;B[ag] ;W[be] ;B[ce] ;W[de] ;B[be] ;W[af] ;B[bc] ;W[qd] ;B[km] ;W[kn] ;B[mk] ;W[lo] ;B[lq] ;W[kq] ;B[nq] ;W[gd] ;B[dj] ;W[ck] ;B[bi] ;W[ai] ;B[bh] ;W[ag] ;B[eg] ;W[br] ;B[ch] ;W[gf] ;B[bl] ;W[cl] ;B[ci] ;W[bk] ;B[cs] ;W[an] ;B[as] ;W[ao]C[Even with an exceptionnal White yose, Black is a dozen points ahead...])) (;W[lf] ;B[nq]C[This line of play was included as main variation by T .Mark Hall, but I find this hard to believe] ;W[oq] ;B[gh] ;W[qd] ;B[is] ;W[nh] ;B[js] ;W[mh] ;B[qr] ;W[li] ;B[qs] ;W[ss] ;B[sq] (;W[kk]C[The seki layers are crumbling....] ;B[sp] ;W[kl] ;B[sr] ;W[km] ;B[pm] ;W[nm] ;B[rj] ;W[qi]C[Hard to see what waswrong with this exchange played earlier..] ;B[sj] ;W[kn] ;B[pk]C[White loses the fight by one liberty, but even if he won it...] ;W[lo] ;B[gb] ;W[mk] (;B[fd] ;W[cm] ;B[an] ;W[bo] ;B[ao] ;W[aq] ;B[bi] ;W[ai] ;B[bh] ;W[ag] ;B[bk] ;W[ck] ;B[bl] ;W[cl] ;B[ak] ;W[aj] ;B[bl] ;W[ao] ;B[am]C[There is no semai in this variation...]) (;B[cm]C[Even if White save that group] ;W[ee] ;B[ed] ;W[fd] ;B[ec] ;W[dm] ;B[do] ;W[bi] ;B[dj] ;W[ck] ;B[ch] ;W[bh] ;B[an] ;W[gc] ;B[fb] ;W[ha] ;B[ga] ;W[ia] ;B[af] ;W[cf] ;B[dd] ;W[eg] ;B[eh]C[Black is 40 points ahead])) (;W[kl] ;AW[mk]C[Here, the sacrifice at move 20] ;B[sp] (;W[kk] ;B[pm] ;W[nm] ;B[rj] ;W[qi] ;B[sr] ;W[km] ;B[sj]C[Would not change anything]) (;W[rj] ;B[pm] ;W[nm] ;B[sr] ;W[kk] ;B[sj] ;W[km] ;B[pk])))) (;B[ma] (;W[ob]C[No liberties lost in this variation]) (;W[na] ;B[nb] ;W[oa] ;B[nc] ;W[oc] ;B[md] ;W[ob]C[And that way ?]))) (;W[hs]C[The Japanese solution, probably not the best] (;B[ee] ;W[cm] ;B[an]C[Black attack seems over, nevertheless...] ;W[bo] ;B[ao] ;W[aq] (;B[bi] ;W[ai] ;B[bh] ;W[ag] ;B[bk] ;W[ck] ;B[bl]C[An incredible move. Even if this is not the main variation, it must be seen...] ;W[cl] ;B[ak] ;W[aj] ;B[bl] ;W[ao] ;B[am] ;W[bk] ;B[al]C[White is dead, but has many liberties ; a new transmission semeai starts ] ;W[rg] ;B[pd] ;W[pc] ;B[mc]C[Some subtle differences between the two variations ; why?] ;W[nb] ;B[la] ;W[qg] ;B[dj] ;W[nc] ;B[eg] ;W[mg] ;B[cf] ;W[ne] ;B[nf] ;W[kb] ;B[af] ;W[ka] ;B[dm] ;W[kc] ;B[ch] ;W[kd] ;B[ci] ;W[pg] ;B[br] ;W[ma] ;B[bq] ;W[qd] ;B[as] ;W[sg] ;B[bm] ;W[an] ;B[al] ;W[md] ;B[ak] ;W[lf] ;B[bl] ;W[nh] ;B[am] ;W[bm] ;B[al] (;W[mh] ;B[nq] ;W[oq] ;B[ak] ;W[li] ;B[bl] ;W[am] ;B[al] ;W[kk] ;B[ak] ;W[kl] ;B[qr] ;W[km] ;B[qs] ;W[ss] ;B[sq] ;W[mk] ;B[pm] ;W[nm] ;B[sp] ;W[lo] ;B[sr] ;W[qi] ;B[gb] ;W[ia] ;B[gd] ;W[hd] ;B[gc] ;W[fr] ;B[er] ;W[fs] ;B[es] ;W[gs] ;B[gq] ;W[gp] ;B[fp] ;W[gi] ;B[fi] ;W[gl] ;B[ha]C[Black wins easily (+15)]) (;W[nq] ;B[mq] ;W[mh] ;B[qr] ;W[li] ;B[qs] ;W[ss] ;B[sq] ;W[kk] ;B[sp] ;W[kl] ;B[sr] ;W[km] ;B[pm] ;W[nm] ;B[rj] ;W[qi] ;B[sj] ;W[kn] ;B[pk]C[Agan, only one liberty ahead] ;W[gb] ;B[fb] ;W[fa] ;B[ea] ;W[ga] ;B[gc] ;W[ha] ;B[eb] ;W[fr] ;B[er] ;W[fs] ;B[es] ;W[gs] ;B[gd] ;W[gq] ;B[fp] ;W[gi] ;B[fi] ;W[lq] ;B[hd] ;W[id] ;B[nq] ;W[gl] ;B[mk] ;W[lo]C[This variation (where White could not decline the 20 stones offer) was said by Shuko's group to be the best one, with a 2 or 3 points win for Black. But I am no longer sure of anything ; we will have to wait for more confirmation of the German analysis]) (;W[rj]C[Another example of those hard to understand minor variations] ;B[qi] ;W[pk] ;B[mk] ;W[gb] ;B[fb] ;W[fa] ;B[ea] ;W[ga] ;B[gc] ;W[ha] ;B[eb] ;W[fr]C[Tesuji for yose] ;B[er] ;W[fs] ;B[es] ;W[gs] ;B[gd] ;W[gq] ;B[fp] ;W[gj] ;B[fi] ;W[hd] ;B[nq] ;W[oq] ;B[ak] ;W[mh] ;B[bl] ;W[am] ;B[al] ;W[li] ;B[bl] ;W[kk] ;B[ak] ;W[kl] ;B[qr] ;W[km] ;B[qs] ;W[ss] ;B[sq] ;W[kn] ;B[sp] ;W[lo] ;B[sr] ;W[gl] ;B[fl] ;W[gm] ;B[fm] ;W[gn] ;B[fk]C[The count : White 67+60 (+1?), Black 82+45 ; Is white winning here ? (actually, this is my personal rediscovery of one of the German variations)])) (;B[bq] ;W[ai] ;B[as] ;W[bk] ;B[br] ;W[bl] ;B[ap] ;W[ch]C[White lives...])) (;B[cm]C[To refute this move took me some time, and I may be wrong ; this is a good example of some of the hidden marvels yet to be discussed] ;W[ee] ;B[fd] ;W[ed] ;B[ec] (;W[dd]C[Seems the best] ;B[cb] ;W[db] ;B[dc] (;W[cc] ;B[bb] ;W[bc] ;B[ac] ;W[cf] ;B[be] ;W[ad] ;B[ae] ;W[ab] ;B[aa] ;W[eb] ;B[fb] ;W[ag] ;B[ab] ;W[af] ;B[ad] ;W[ca]) (;W[bb] ;B[cc] ;W[bc] ;B[ba] ;W[be] ;B[ae] ;W[cf] ;B[be] ;W[ac] ;B[ab] ;W[aa] ;B[ca] ;W[af] ;B[ag] ;W[dm] ;B[eo] ;W[af] ;B[kf] (;W[lf]C[White must answer] ;B[ag] ;W[rj] ;B[qi] ;W[af] ;B[mg] ;W[ad] ;B[qf] ;W[gb] ;B[bi] ;W[ci] ;B[ch] ;W[bh] ;B[ai] ;W[eh] ;B[ei] ;W[eg] ;B[nb] ;W[ob] ;B[mc] ;W[nc] ;B[ma]C[The seki is still here, but thois is a global disaster for Black, (White> 60, Black <55)]) (;W[ad] ;B[je] ;W[lf] ;B[kd]))) (;W[dc]C[Works perhaps also] ;B[dd] ;W[cc] ;B[bc] ;W[bb] (;B[ca]C[First tesuji, but] ;W[eb] (;B[da]C[This splendid tesuji] (;W[db]C[doesn't work in this case] ;B[fb] ;W[ea] ;B[fa] ;W[cb] (;B[ab] ;W[ba] (;B[ac] ;W[ae] (;B[be] ;W[af]) (;B[af] ;W[be] ;B[ad] ;W[be] ;B[cf] ;W[ag] ;B[ae] ;W[aa])) (;B[be] ;W[gb] ;B[ac] ;W[gc])) (;B[ba] ;W[aa] (;B[ca] ;W[gb] ;B[ac] ;W[gc] ;B[ab] ;W[ga]) (;B[ac] ;W[gb]))) (;W[fb] ;B[db] ;W[cb] ;B[ab])) (;B[fb] (;W[cb] (;B[ea] ;W[be] ;B[ae] ;W[cf] ;B[be] ;W[ac] (;B[ba] ;W[ab] ;B[db] ;W[ag]) (;B[ab] ;W[aa] ;B[db] ;W[ag])) (;B[ab] ;W[da] (;B[fa] ;W[be] ;B[ae] ;W[cf] ;B[be] ;W[ac] ;B[ad] ;W[ba] ;B[ea] ;W[db]) (;B[ba] ;W[aa] ;B[ba] ;W[be] ;B[ae] ;W[cf] ;B[be] ;W[ac])) (;B[da] ;W[be] ;B[ae] ;W[cf] ;B[be] ;W[ac] ;B[db] ;W[ab] ;B[ba] ;W[ag])) (;W[db] ;B[ea] ;W[cb] ;B[da] ;W[ba] ;B[fa] ;W[be] ;B[ae] ;W[cf] ;B[be]))) (;B[ab] ;W[eb] ;B[fb] ;W[cb] ;B[ea] ;W[be] ;B[ae] ;W[cf] ;B[be] ;W[ac] ;B[ba] ;W[ca] ;B[ad] ;W[aa] ;B[kf] ;W[lf] ;B[ba] ;W[af] ;B[ag] ;W[aa] ;B[db] ;W[af] ;B[gd] ;W[hd] ;B[ag] ;W[ac]C[Here, Black loses everything])))) (;W[nq] ;B[mq] ;W[oq] ;B[qr] ;W[nq] ;B[qs] ;W[ss] ;B[sq] ;W[lq] ;B[sp] ;W[dm] ;B[eo] ;W[cm] ;B[an] ;W[bo] ;B[ao] ;W[gb] ;B[fb] ;W[mc]C[Simplest variation : still an easy Black win (White : 80, Black : 95)])) (;W[ig] ;B[jf] ;W[kf] ;B[ie] ;W[ge] ;B[id] ;W[jc] ;B[je] ;W[kd] ;B[nq] ;W[oq] ;B[qr] ;W[if] ;B[qs] ;W[ss] ;B[sq]C[Black wins easily this fight])) (;W[ii] ;B[hj] ;W[gj] ;B[gk] ;W[gi] ;B[hs] ;W[nq] ;B[mq] ;W[oq] ;B[qr] ;W[nq] ;B[qs] ;W[ss] ;B[sq] ;W[lq] ;B[sp]C[Better, but still a clear loss for White (White: 75, Black: 90)])) (;W[im] ;B[hn] ;W[gn] ;B[gm] ;W[go] ;B[hs] ;W[nq] ;B[mq] ;W[oq] ;B[qr] ;W[nq] ;B[qs] ;W[ss] ;B[sq] ;W[lq] ;B[sp]C[Still not enough for White])) (;W[io] ;B[nq] ;W[oq] ;B[jo])) (;W[ip]C[Why does White connect ?] (;B[hr]C[If he doesn't, Black cuts !! Here, for the first time, we meet the hanezeki] ;W[nq]C[Sooner or later, White must capture ] ;B[mq] ;W[oq]C[Black has won a liberty : ] ;B[qr] ;W[nq] ;B[qs] ;W[ss] ;B[sq] ;W[lq] ;B[sp]C[Black wins easily the game]) (;B[nq]C[If Black threatens to live first...] ;W[oq] ;B[hr] ;W[qr] ;B[is] ;W[op] ;B[js] ;W[ss] ;B[ks]C[She succeeds, but...] ;W[sq]C[After White lives, Black has lost her main group again]))) (;W[iq] ;B[jr] ;W[js] ;B[nq] ;W[oq] ;B[ks])) (;W[jq] ;B[nq] ;W[oq] ;B[jp])) (;W[lq] ;B[nq] ;W[oq] ;B[lr])) (;B[oq] ;W[sr]C[The seki above is temporary, as the outside black group is dead ; therefore, Black must continue the race outside])) (;B[rj]C[Perhaps better to play here ; this comes from the Choinese commentary ] ;W[qi] ;B[np]C[The only following line given in my references is not commented] ;W[rs] ;B[sr] ;W[oq] ;B[mq] ;W[lr] ;B[lq] ;W[kr] ;B[kq] ;W[jp] ;B[jq] ;W[jr] ;B[iq] ;W[hq] ;B[gr] ;W[hr] ;B[ip] ;W[jo] ;B[io] ;W[ho] ;B[in] ;W[hn] ;B[im] ;W[hl] ;B[ik] ;W[hk] ;B[ij] ;W[hj] ;B[ii] ;W[ih] ;B[ji] ;W[kj] ;B[jh] ;W[kh] ;B[jg] ;W[jf] ;B[ig] ;W[hh] ;B[if] ;W[ie] ;B[hf] ;W[he] ;B[gf] ;W[ge] ;B[fg] ;W[ef] ;B[fh] ;W[hs] ;B[ee] ;W[cm] ;B[an] ;W[bo] ;B[ao] ;W[aq] ;B[bi] ;W[ai] ;B[bh] ;W[ag] ;B[bk] ;W[ck] ;B[bl] ;W[cl] ;B[ak] ;W[aj] ;B[bl] ;W[ao] ;B[am] ;W[bk] ;B[al] ;W[rg] ;B[pd] ;W[pc] ;B[mc] ;W[nb] ;B[la] ;W[qg] ;B[dj] ;W[nc] ;B[eg] ;W[mg] ;B[cf] ;W[ne] ;B[nf] ;W[kb] ;B[af] ;W[ka] ;B[dm] ;W[kc] ;B[ch] ;W[kd] ;B[ci] ;W[pg] ;B[br] ;W[ma] ;B[bq] ;W[qd] ;B[as] ;W[sg] ;B[bm] ;W[an] ;B[al] ;W[md] ;B[ak] ;W[lf] ;B[bl] ;W[nh] ;B[am] ;W[bm] ;B[al] ;W[pk] ;B[mk] ;W[gb] ;B[fb] ;W[fa] ;B[ea] ;W[ga] ;B[gc] ;W[ha] ;B[eb] ;W[fr] ;B[er] ;W[fs] ;B[es] ;W[gs] ;B[gd] ;W[gq] ;B[fp] ;W[gj] ;B[fi] ;W[hd] ;B[nq] ;W[oq] ;B[ak])) (;B[nk] ;W[mk] ;B[mj] ;W[nk] ;B[qi] ;W[rj]C[Always the same seki ; the difference, if any, will appear in more than 100 moves...])) (;B[nm] ;W[om] (;B[ol]C[Same result]) (;B[nl] ;W[ol] ;B[mk] ;W[rj] ;B[nk] ;W[pk] ;B[mj] ;W[sj] ;B[np] ;W[oq] ;B[nq] ;W[oq]C[Black can no longer win the game]))) (;W[sr] ;B[qn] ;W[rp] ;B[rr] ;W[sq] ;B[qk])) (;B[ml] ;W[po] ;B[no] ;W[nn] ;B[np] ;W[mo] ;B[nq] ;W[pn] ;B[ol] ;W[qk]C[Black position crumbles]))