(;CA[shift_jis]FF[4]RU[Chinese]MU[0]AP[SmartGo:3.1.4]SZ[19]GM[1]GN[29annotated]
EV[AlphaGo selfplay]RO[29]PB[AlphaGo]PW[AlphaGo]KM[7.5]RE[W+R]MULTIGOGM[0]
;B[qd];W[dp];B[pq];W[dd];B[nc];W[po];B[fc]LB[qo:A][cf:B][qm:C][pl:D]C[In this self-played set of games, AG reached this board position in 3 games, and played the kakari at 7 every time. The most common move for humans is still Black A, while the game move is sometimes played with ideas involving a ladder. When White replies at B, Black's stone at 7 can work as a ladder breaking move when Black plays a pincer at C or D. ]
;W[oq]LB[qq:A]C[AG played toward the LR corner every time in this set of games, playing at A twice and at 8 in this game only. Both are popular joseki choices for humans. ]
;B[or];W[op]
(;B[nr]C[Black has two choices with 11. In this board position I think the hane looks natural, but AG seems to disagree (see var). ]
;W[qq];B[qr];W[pp];B[pr];W[rq];B[lq];W[qk];B[cf];W[df];B[dg];W[ef];B[cd]LB[cg:A]
C[A warning to those of us who like to study with computer programs\: When the 'AI' suggests a move such as A for White, the human is advised to check the ladder. ]
(;W[cc];B[ce]
(;W[dc]C[This version of AG plays the solid connection at 26 in most cases, while AGZero seemed to like the var move. ]
;B[hc]LB[gd:A][nc:B]C[Before AG, Black A was the mainline for move 27. This version of AG prefers the game move, while AGZero played at A just once. In this board position Black has a strong position with B in the UR corner, and that makes me want to play at A. ]
(;W[id]C[In 3 similar board positions, AG played this shoulder hit every time. White is weak in the corner, and probably not ready to pincer on the left (see var). ]
(;B[hd]C[Pushing here looks natural, but maybe not the only choice.  AG has played the knight's move in a similar position (see var). ]
;W[ie];B[gf];W[fd]TR[hd]LB[gd:A]C[White 32is part of the idea with White's play at 28. If Black now answers at A, the marked exchange is a profit for White. ]
;B[he]
(;W[fb]C[White lives in the corner, preparing to pincer on the left next. Playing the good shape move in the center would have been heavy (see var). ]
;B[pk];W[ql];B[gb];W[ec];B[if];W[ci];B[eg];W[ei]LB[fg:A]C[White pressures Black by threatening A. White A is troublesome for Black, but it will not be immediately decisive. This will be shown in a var for Black 47. ]
;B[pi];W[cn];B[dm]LB[qj:A][fq:B]C[Black could have played at A or B, both being big points. My guess is that AG had trouble deciding, so with 45 it is testing White's response and hoping to change the value of A or B. ]
;W[gj]
(;B[ih]C[With 47, Black is protecting the group on the left while enlarging Black's moyo on the right. See the var for what could have happened on the left. ]
(;W[fm]C[The var for White 48 shows how Black 47 protected Black on the left side. ]
;B[qj];W[pl];B[mh];W[kg]LB[jf:A]C[White 52 creates a forcing move at A that will come into play as White tries to make eyes. ]
;B[kh];W[oc]C[White 54 is a common point to attack the large knight's shimari. When invading the opponents moyo, attachments and cuts are often the best way to create some forcing moves. ]
;B[ob]
(;W[nb]C[White 56 is the tesuji for sabaki. The other shape move would have been a hane on top (see var). ]
(;B[pb]C[The idea with White's cut was to have Black take the one stone and get two forcing moves in return (see var), ]
;W[mc];B[nd];W[md];B[ne];W[kc]
(;B[lb]TR[kg]C[A var for Black 63 shows how the marked stone can come into play and save the White group. ]
;W[mb];B[ib]
(;W[nf]C[White gives up some points to make a living shape. White could have just pushed, but would end up losing points anyway (see var). ]
;B[me];W[le];B[mf];W[jf];B[fa];W[gc];B[jg];W[ke]C[White is alive. ];B[ch];W[bh]
;B[da];W[lg]C[White 78 was a big move that Black could have played with sente. White's UL corner group is in danger, but Black is not quite strong enough to kill it yet. ]
(;B[bg];W[dh];B[cg];W[bb]
(;B[cm]TR[ff]C[White's life in the corner depends on a forcing move at the marked point (see var). ]
(;W[mg]TR[lg]C[The fight on the left is linked to the status of White's group in the UL corner (see var). AG just plays away, leaving everything uncertain. White 84 is actually a very big move, and the natural continuation after White's previous (marked) move. ]
;B[dn];W[fo];B[cp];W[cq];B[co];W[bq];B[ck];W[pe]LB[ng:A]C[ White's idea with 92 is to prevent a Black cut at A, keeping sente. ]
(;B[of]C[Cutting instead of 93 would have been bad for Black (see var). ];W[ng]
;B[pf]LB[ng:A][ph:B]C[White has connected at A, and still has a follow-up move at B. ]
;W[jq];B[fi]LB[ba:A]C[In effect, Black 97 captures four White stones on the left. Black is threatening A, and has some forcing moves in the vicinity of 97. ]
;W[fj];B[ej];W[hh];B[gi];W[hi];B[gg];W[hg];B[hj];W[hf];B[gd];W[ca]C[White is now safely alive in the corner. ]
(;B[kr]C[Black 109 is a bug move that has to do with Black's eye space and helps Black reduce White's territory on the lower side (see var). ]
;W[ph]
(;B[qf]C[Black had no good way to save the right side territory (see var). ];W[qh]
;B[nk];W[rj];B[ij];W[gl];B[ip];W[do]LB[bn:A]C[White 118 strengthened White's connection to the center while threatening A. ]
;B[gn];W[fn]
(;B[hq]C[Black 121 was a point where I would say it was time for Black to protect in the center. In the variation, a suggested endgame sequence is shown. ]
;W[oa];B[pc];W[ek];B[dj];W[bn];B[bm];W[lp];B[mp];W[mo]LB[jq:A]C[White 128, 130 was a tesuji for sabaki. When White saves the stone at A, it should be with good shape. otherwise, White can sac A and build a strong position in the center. ]
;B[lo];W[kp];B[mn]
(;W[mq]C[White could have extended (see var), but the game move is relatively simple and seems to be good enough to give White a small lead. ]
;B[no]C[As a general rule of thumb, a ponnuki tends to be most valuable in the opening, when the board is wide open, and relatively less valuable towards the end of the game, when the open space is smaller. ]
;W[lr];B[nq];W[kq];B[np];W[jr]
(;B[bo]C[Black plays the big territory move instead of the safe move (see var). ]
;W[jn];B[in];W[im];B[jo];W[fe];B[ge];W[ko];B[hm];W[ho];B[go];W[gp];B[hp];W[gm]
(;B[jm]C[Black was not going to die, but it was better not to connect (see var). ]
;W[hn];B[io];W[il];B[kn];W[jl];B[kl];W[fr]LB[gs:A][mr:B]C[White protects the corner territory while making miai of A and B.]
;B[go];W[gn];B[pj];W[kk];B[kj];W[lm];B[km];W[jk];B[lk];W[ig];B[li];W[rg];B[ri];W[dk]
;B[cj];W[rk];B[qi];W[nh];B[oi];W[oh];B[rr];W[sr];B[hk];W[hl];B[jh];W[mj];B[lj];W[nl]
;B[nm];W[ol];B[ml];W[ni];B[nj];W[jb];B[lf];W[mi];B[mk];W[kf]
(;B[ja]C[As the game nears it's end, I chose this point to attempt solving the endgame (see var). ]
;W[mr]C[Black resigned])
(;B[pn];W[qn];B[pm];W[om];B[on];W[qm];B[ja];W[gq];B[hr];W[mr];B[rf];W[sf];B[se]
;W[sg];B[rb];W[ka];B[kb];W[jc];B[ia];W[bd];B[be];W[ea];B[eb];W[fc];B[ic];W[ap];B[an]
;W[lc];B[la];W[db];B[ad];W[bc];B[dl];W[fk];B[oo];W[ro];B[lh];W[ok];B[oj];W[ns];B[os]
;W[ms];B[hs];W[gr];B[gs];W[fs];B[en];W[eo];B[gh];W[jj];B[ii];W[if];B[ji];W[ac];B[ae]
;W[ff];B[fg];W[de];B[pa];W[si];B[rh];W[qg];B[sh];W[sj];B[js];W[ks];B[is];W[bp];B[el]
;W[rs];B[qs];W[sq];B[ga];W[ea];B[na];W[ma];B[ka];W[ss];B[oa]C[White wins by 1/4 of a stone, or 1/2 point. ]))
(;B[hn];W[hl];B[io];W[kn];B[fr];W[er];B[gq];W[fq];B[gr];W[lk]C[White will be able to attack in the center, and has an advantage. ]))
(;B[in];W[bo];B[il];W[lh];B[li];W[hm];B[im];W[hr];B[gq];W[am];B[al];W[an];B[bk]
;W[nl];B[jh];W[ig];B[ml];W[nm];B[mj];W[jo];B[io];W[gr];B[fp];W[ep];B[fr];W[rg]LB[in:A]
[bo:B]C[If Black protects at A, White will take the big point at B, and the rest of this var is an example of how the endgame might continue. White has a small lead. ]))
(;W[no];B[np];W[jo];B[nn];W[oo];B[kn];W[jn];B[jm];W[im];B[jr]LB[jl:A]C[This is ok for Black if Black's group in the center can survive. White will attack with A, but does not seem to have a decisive advantage. ]))
(;B[kj];W[ii];B[ji];W[ig];B[jm];W[bn];B[bm];W[hq];B[iq];W[ir];B[hp];W[gq];B[jr]
;W[bo]C[White is ahead, so I guess that is reason enough for AG not to play this way. . ]))
(;B[qh];W[oe];B[od];W[pg];B[qf];W[qg]C[White can break through into the right side. ]))
(;B[gk];W[mq];B[mr];W[kr];B[lr];W[jo];B[rr];W[ph]LB[mq:A][kr:B][ph:C]C[The combination of White A and B is not only big in territory, but it reduces Black's eye space. After White C, White has a clear  advantage. ]))
(;B[ng];W[of];B[od];W[pd];B[pc];W[rd];B[qe];W[qf];B[re];W[rf];B[rc];W[nh];B[og]
;W[oh];B[pg];W[ph];B[qg];W[qh];B[rg];W[rh];B[sf];W[lh]LB[ng:A]C[If Black cuts at A, White has this forceful sequence that sacrifices some stones on the right to give White a strong position on the outside. This is good for White. ]))
(;W[dn];B[em];W[en];B[dj];W[di];B[fl];W[gl];B[gm];W[fn];B[gk];W[hl];B[fj];W[hk]
;B[fi];W[fk];B[ej]TR[ca][ea]LB[ba:A][jq:B]C[This var shows a trade that could have happened on the left. White's problem with this is the threat of Black A, which is miai with the extension at B. The corner will be a ko with White throwing in at the marked points, but this is probably good for Black. ]))
(;B[bd];W[ca];B[bc];W[ff];B[fg];W[eb];B[ea];W[gd]LB[ff:A][ee:B]C[White neede the forcing move at A to prevent Black from playing at B. ]))
(;B[bb];W[bc];B[ea];W[bg];B[cg];W[af]TR[eb][gd][ff]LB[fg:A]C[A clumsy attack by Black. While attacking White, Black wants to take away White's eye in the corner but must also deal with the potential connection shown here. Also, there is the White counter-attack at A, and sometimes it is possible for White to live by playing the three marked points. In short, all of that is too much for Black to handle. ]))
(;W[me];B[nf];W[jf];B[jg];W[ke];B[lf];W[kb];B[le];W[ld];B[kf];W[je];B[jc];W[la]
;B[na];W[jb];B[ic];W[ja];B[ch]LB[me:A][kd:B]C[Pushing at A, White lived easily, but Black gets some profit in return. Black can capture at B later. ]))
(;B[me];W[jf];B[jg];W[ke];B[ld];W[lc];B[le];W[kd];B[jb];W[ib];B[ic];W[jc];B[kb]
;W[lb];B[ia];W[ka];B[hb];W[na]LB[kg:A][jf:B]C[This var shows how the stone at A can work to give White the forcing move at B and save the White group. White A created this potential that helps White in many of the various fights that could have happened on the upper side, this being only one representative example. Seeing the need for a stone at A about 20 or 30 moves before it happened on the board demonstrates the ability for deep calculation that AG had. ]))
(;B[mb];W[nd];B[mc];W[pb];B[na];W[qh];B[ri];W[pc]TR[mb][nc][qd]C[This is another position that is difficult to read out to the end, but White has potential to attack the marked Black stones, and probably can make a living shape. ]))
(;W[nd];B[pc];W[od];B[nb];W[og];B[nh];W[qe];B[qg]LB[nd:A]C[White A is good shape, but does not seem to create as much potential as the game move. White will have trouble living in this var. ]))
(;W[fg];B[ch];W[bi];B[fh];W[eh];B[ff];W[gg];B[gh];W[hg];B[hh]LB[fg:A][ih:B]C[Cutting Black off with White A does not work when Black has a stone waiting at B. ]))
(;B[gl];W[fg];B[ch];W[bi];B[fh];W[eh];B[ff];W[gg];B[bc];W[bb];B[ab];W[bd];B[ad]
;W[ac];B[hg];W[gh];B[bc];W[dh];B[cg];W[ac];B[hh];W[gi];B[bc];W[be];B[bf];W[ac];B[de]
;W[ae];B[ee]LB[fg:A][ab:B]C[White cuts Black off with A, and Black is in trouble on the left. However, when Black plays the double hane at B, the following ko is dangerous for White's corner too. While the trade shown here is about equal, this was a threat that Black needed to deal with sooner or later. ]))
(;W[if];B[eg];W[fb];B[gb];W[ec];B[gc];W[fg];B[ff];W[fh];B[ci];W[eb];B[hg];W[jh]
;B[ii]LB[if:A][eg:B]C[If White extends at A, Black then covers at B, threatening the corner and reinforcing Black on the left. White has lost the opportunity to attack Black on the left without getting much in return. ]))
(;B[ge];W[fd];B[ie];W[nd]TR[po][qq]SQ[pq]C[This sequence was played in game 47 of this set of self-played games, in a similar board position. The LR corner position was different, with just one Black stone (square) and two White stones (triangles). ]))
(;W[di];B[eg];W[fd];B[gd];W[ge];B[he];W[gf];B[ed];W[de];B[ch];W[ci];B[fh]LB[di:A]
[fd:B]C[When White pincers at A, White has to go back to protect at B, and Black gets good shape on the upper side. This var is good for Black. ]))
(;W[fd];B[de];W[ed];B[bc];W[db];B[cb];W[dc];B[bb];W[ic]LB[fd:A][cn:B]C[White's attachment at A, giving Black some territory in the corner and trading to the side, became popular after AGZero played it. Black will probably continue at B, and the trade is even. ]))
(;W[cg];B[ce];W[dh];B[eg]))
(;B[nq];W[nr];B[mr];W[pr];B[ns];W[qq]LB[cf:A]C[Black will probably continue with a kakari at A. AG did not choose this for Black, so maybe the corner territory is too big?]))