(;GM[1]FF[3]SZ[19]AP[SmartGo:3.1.1]CA[utf-8]
GN[TRMDPE-1]
PW[井上道節因碩 (Inoue Dosetsu Inseki, 1646-1719) ]
DT[1715-01-01]
KM[1.0]
CP[(c) Thomas Redecker, Joachim Meinhardt, Harry Fearnley]
US[Harry Fearnley pp  igohatsuyoron120@gmail.com]
RU[Japanese]
SO[ 囲碁 発陽論 (Igo Hatsuyōron) – in Chinese: 围棋 [圍棋\] 发阳论 (Wéiqí FāYángLùn), and in Korean: 위기발양론 (Wiki Balyangron) ]
AN[Harry Fearnley]
AB[ra][hb][lc][ld][le][me][mf][og][oh][oi][pi][ph][ni][mi][lj][lk][mn][ko][sq][sp][pr][qq][pq][pp][oo][ps][os][qh][sh][rh][pe][oe][of][fc][fe][de][ce][bd][bf][fn][fo][em][el][ek][dn][co][cp][ep][fq][ns][nr][rm][qm][ql][pl][rk][sk][lb][am][bm][ak][aj][al][di][dh][fj][il][cr][bs][bp]
AW[kp][jm][jl][jk][jj][ki][kg][lg][jn][lp][mp][op][or][mr][ms][mb][nd][nj][oj][pj][qj][ri][si][od][qa][rb][qc][rq][qp][qo][ro][so][sn][rn][sm][rl][sl][on][ok][qe][re][pf][ar][ap][bn][cn][en][bg][cg][dg][df][ff][gg][hg][hi][ke][jd][hc][ib][jb][cd][ng][dl][dk][cj][bj][ah][eq][hm][hp][ir]
GC[*** Email:  igohatsuyoron120@gmail.com
*** Website:  http://igohatsuyoron120.de

Problem is "Black to play" ... and get the best result.

N.B. White has captured a Black stone at T6.  Komi is set to 1.0  to account for this.]
C[*** Email:  igohatsuyoron120@gmail.com
*** Website:  http://igohatsuyoron120.de

{***} <<<
We recommend that you play through the whole of Our Solution, two or three times, ignoring _all_ variations.  This will help you understand the structure of the problem, as well as the solution.  When doing this, you should probably ignore all comments, except those marked like this one, and terminated with 3 right-chevrons!
Alternatively, check out the Overview on the website at http://igohatsuyoron120.de/2015/0019.htm#üSummaryOurSolution .  We have made a PDF of these pages at http://harryfearnley.com/go/trmdpe/overview.pdf
>>>

White has captured a Black stone at T6.  Komi is set to 1.0  to account for this.
Black needs to save his group at Top Right. He cannot easily get 2 eyes, so thinks about connecting to the black stones in the Lower Right.   He must also save his stones on the Lower Right.  Achieving both goals appears impossible.  Moves at N8, and O8, will not work.

Another possibility might be to obtain a Seki with (or even kill) the white stones at Top Centre.  As we will see later, neither of these can work.  The position, and comments, after White's 80, will help make this clearer.

]
(;B[po]
C[White continues at S2.  If White plays at N8 instead, then we will end up in the same place in a few moves time.]
(;W[rr]
C[Black connects 2 stones with R9, and keeps the pressure on all of White's stones.  

If Black plays at O8 instead, then he can connect most of his stones, but White will save all of hers, and will also have Sente to play at the Left Side, and win comfortably.

Black must connect at R9.  Playing at O8 will not work -- after White cuts at R9 (connecting all of his stones), Black has to connect his groups by playing at M7, so White will get Sente to play at C7, and she will win the game.]
(;B[qk]
C[White at O6 will eventually create the position as White at N8.
White at O7 will allow Black to live at Top Right, and also kill White's Lower Right corner group.  White will then, eventually, save her group around P8.  In the Lower Right, the black stones will live, and the white ones will die.  White gets Sente,to play at C7, but she will still lose the game.]
(;W[ml];B[ll];W[mm];B[lm];W[nn];B[no]
C[White Atari from the left at M6, and Black will kill all of the white stones in the Lower Right, so winning the game.
White must not play at M6 -- her group at Lower Right will die;  Black will kill the other white stones at Centre Right; the black group at top Right will live. and Black will win easily.]
(;W[mo];B[ln];W[pn];B[qn];W[rp]
C[Black playing at P8 will lose him one point (to now win by 2 points, instead of 3) by the end of the game -- a loss of 2 points because he will have to add another stone to his large Top Right group before sacrificing it, and a gain of one point because he will not have sacrificed the single stone at O7! ]
(;B[nm];W[om]
C[If Black extends at O8, then the large Black group in the Upper Right will live, but all of Black's stones in the Lower Right will die.
Black at P8 is definitely correct!
If Black plays at O8, then Black can get 2 eyes, and live his group at Top Right.  However, he will lose all of his stones in the Lower Right, and -- despite getting Sente to play at B11 -- will therefore lose the game.]
(;B[ol];W[nl];B[nk]
C[White has just captured a Black stone (O7), and will soon capture another.  Each of these Black sacrifices will (about 150 moves later) result in a gain of only one point for Black.  
Black has lost 2 points (the captured stones), but White gains no territory.  Both players want to maintain the temporary Seki on the Right Edge, for as long as possible.  If we look far ahead, we see that Black will prefer to sacrifice his group at Top Right.  Without these two sacrifices, White will be able to play at S10, and Q9, thus forcing Black to respond at R11, and N9.  When the large black group is eventually captured, White will gain 4 points -- 2 points of territory, and 2 stones.  This is 2 points worse for Black than playing the sacrifices.
This will finally be a case of Forced Capture (in Japanese,  攻め取り (semedori) -- a key feature of this is that if Black plays inside White's territory, _and_ White responds, then the score remains unchanged.  Black will use this fact to make his Top Right so big that White will finally (narrowly) prefer to capture it, giving Black some white stones on the Left Edge, and in the Lower Right, in exchange!
]
;W[mk];B[mj];W[nk]
C[Black at S1 will lead to a temporary Seki.  But, ... eventually, all the black stones at the Right will die!]
(;B[np]
C[White capturing the corner 2 stones with T2 will let Black kill of of White's stones in the Lower Right.  Connecting at P3 is no better.

White at T2 will be a disaster for White.  All of her stones at Lower Right will die, and all the black groups will live.
White at P3 will lead to a similar disaster for White.
The correct move -- at S1 -- threatens to live in the corner.  This would mean that all black stones above the corner would die.  This forces Black to play at T2.]
(;W[rs]
C[Black at P3 will let White capture at T2, and live.  This will kill all of Black's stones at Top Right.  Black will have Sente to play at B11, but will still lose the game.
Black at N3, is worth a few points more for Black, but would give essentially the same result as at P3, 
If Black plays at either N3, or P3, then White will capture the 2 corner stnes with T2;  Black's large group at Top Right cannot get 2 eyes, and White will win easily.
]
(;B[sr]
C[We are beginning to see the making of a (temporary) Hanezeki -- see http://senseis.xmp.net/?Hanezeki
]
;W[oq]
C[Black at O3 would be fatal.  White would steal the eye with P3, and all of Black's stones at the Right would die, eventually.
If Black captures with O3, then Black's group will die, and so will all other black stones in the Right Half of the board.

]
(;B[mq]
C[White at M3 would let Black get 2 eyes, so killing White's Lower Right Corner group.  Eventually, White's stones at Centre Right will die, and all of Black;'s stones at Top Right will live.
Black has just played the first stone of the Hanezeki's Tail.  The Tail is now going to get much bigger. White would like to play Atari at M3, but this will not work, so she continues on the second line with M2.
]
(;W[lr];B[lq];W[kr];B[kq]
C[Black has just added yet another stone to the Tail.  White cannot block at K3 safely, ...
]
;W[jp];B[jq]
C[White blocking at J3 would not work.
White at J3 would let Black get 2 eyes, so killing White's corner group.  Eventually, White's stones a Centre Right will die, and all of Black;'s stones at Top Right will live.
Black could play at J4 now, but want to come back and play the forcing exchange of Black G2 / White H2 soon anyway!
]
(;W[jr];B[iq];W[hq]
(;B[gr]
C[Now the full effect of the Hanezeki's Tail starts to become clear.  White must not play Atari with J4, but must protect the cutting point with H2
]
(;W[hr]
(;B[ip];W[jo]
C[Now, Black at H5 is a disaster.]
(;B[io]
C[White at H6 stops Black's escape.  However, Black's Hanezeki Tail (marked) now has 2 external liberties -- Black will live all of his stones in the Right Half, and both of White's groups in the Lower Right corner will die.

If White plays at H6, then Black cannot escape.  However, the black Tail now has an extra liberty, so Black will be able to capture at O3, and then go on to kill White's Lower Right Corner group, so winning the game easily.  Black must make sure that (after a White move) Black's Tail has not more than one external liberty.]
MA[io][ip][iq][jq][kq][lq][mq]
(;W[ho]
C[If Black at H6, then White cuts, and has time to live her group on the Lower Edge.   In the Lower Right, we will then have a (temporary) Hanezeki.  
A Hanezeki is a special type of Seki -- see http://senseis.xmp.net/?Hanezeki.  We also have a normal (but also temporary) Seki at Centre Right.  Because the Black group at Top Right cannot get 2 eyes, it will die.  Then the (temporary, normal) Seki will collapse, as will the (temporary) Hanezeki -- all black stones in the Right Half of the board will die, and all white ones wil live.]
(;B[in]
(;W[hn];B[im];W[hl];B[ik];W[hk];B[ij];W[hj];B[ii]
C[White at K11 would let Black get an extra liberty -- fatal for White.]
(;W[ih];B[ji]
C[If White blocks at K12, Black will cut at L10, and win easily.]
(;W[kj]
C[Black at L12 would result in Black's Top Right group losing a liberty -- this would be bad for Black much later.  :-)]
(;B[jh];W[kh];B[jg];W[jf];B[ig]
C[If White blocks at J14, Black will capture at H12, and a Ko will result.  This will give the black Hanezeki Tail (X) an extra liberty, and White will lose the game. ]
MA[ig][jg][jh][ji][ii][ij][il][ik][im][in][io][ip][iq][jq][kq][lq][mq]
(;W[hh];B[if];W[ie]
C[Black Hane at H15 cannot succeed.  It will only help White.  However, if Black plays H15, and White responds carelessly, then Black can probably create a remarkable Circular Hanezeki (see http://senseis.xmp.net/?StrangeSekis), so winning the game!]
(;B[hf]
C[White must not block at left with G14 -- Black would get extra liberties for the Hanezeki's Tail, and destroy White.]
(;W[he]
C[If Black clamps at O18 immediately, he loses 2 points, so winning by just one point.]
(;B[pd]
(;W[pc];B[nb]
C[If White now connects at N13, then Black will lget 2 eyes at Top Right, and will win the game.]
(;W[mc];B[ma]
C[If White now connects a single stone by playing at N13, then Black will lget 2 eyes at Top Right, and will win the game.]
(;W[ob]
C[It is probably easier to understand the choices that are made, by both Black and White, if you first take a look at the Correct Main Line when Black plays at S13 -- probably helpful to follow to the very end, and then come back here again.  Many of the sequences that occur later in Our Solution will also happen when we look at some of the failure variations that are going to appear soon,
 
Black Atari at R14, gets an eye, but not loses vital liberties.

Black cuts off a single stone with N13, and gets an eye, but also loses vital liberties.

{*} <<<
Black at G14 much more interesting.  However it is played prematurely, and eventually loses a point.  
Nevertheless, it gives Black the opportunity to start a fight with White's Upper Central group -- we call this "joachim's Ko Semeai".  This fight is very complicated, but Black cannot succeed. 
Nevertheless, one of the variations contains some beautiful surprises., including a 4-step Ko-threat.
>>>

Black at O15 is Sente, but eventually he loses 3 points, and the result is a draw.

Black will now play the forcing exchange S13 / R14, at the last sensible moment. 
After this, Black will play the two exchanges Black Q7 / White O7, and Black S10 / White R11 -- he may not get a suitable opportunity later.]
(;B[rg]
C[White at S14 is the best move.  If White does not then reply locally, then Black can get 2 eyes by playing first at R14.  
White at N13 will also provide an identical result after a few moves, differing only in the move-order.  Black has just played S13 at the last sensible moment, and is going to play at G14, if White stops him getting 2 eyes.

Black's move at G14 will separate White's stones in the Centre, and at Left, into 3 large groups.  This is discussed in more detail at move 81.

White can let Black live at Top Right, by playing elsewhere, but will the White profit be enough?  The answer is NO!  
The other moves that White might consider are -- in decreasing order of their value to White -- E15, C7,  G15,  F18, E18, E16, G18, F16, G14, G16, E14, D7, E13, F13, and F12.  these options are examined, and compared, in great detail on the website .]
(;W[rf]
C[The timing of this forcing exchange is a bit complicated.


Black has decided that he cannot succed in an attack on the large Upper Centre White group.  Such an attack would require that Black has an eye, and additionally, either sufficient extra liberties (not possible), or a Ko.  Once Black has played the S13 for S14 forcing exchange, there will be absolutely no chance to attack White's large centre group.

If Black leaves the forcing exchanges (Q7 for O7, and S10 for R11) too long (after White has played at F18, in 20 moves time), then White might get the chance to play at S10 -- Black will then play the Q7 for O7 exchange, before answering White's S10 with R11.  When Black sacrifices the large group at Top Right, White will have gained two points.  Q7, will not be a forcing move,  If White can ignore it, and go on to kill Black's Top Left Corner, then the result would be that Black could not do better than B+2 (one point worse for Black than Our Solution)!]
;B[pm];W[nm];B[rj];W[qi];B[gf];W[ge];B[fg]
C[Even now, White must not play at O3, and capture the Hanezeki's Tail which now consists of 20 stones (marked X).]
MA[gf][hf][if][ig][jg][jh][ji][ii][ij][ik][il][im][in][io][ip][iq][jq][kq][lq][mq]
(;W[ef];B[fh]
C[We have now completed what we call "The Crosscut Sequence" (marked with Squares).  
The larger picture is becoming clearer now.  There are three large, and apparently isolated, White groups.  These groups can be linked with each other, but only by capturing the Hanezeki's Tail (marked X), which WHite must not do:
a) one group in the Lower Centre, which is not yet alive.   But, with Sente, White can play at H1, and make two eyes.
b) a White group in the Upper Centre.  If Black plays at G18, then White will need another move (at L16) to obtain 2 eyes.  WIthout 2 eyes there might be a liberty fight with Black's large Top Right group.  After some investigation, it should be clear that this will not work for Black.  However, if the exchange of Black S13 / S14 had not been played at moves 71, and 72, then a  complicated Ko (which we call "Joachim's Ko Semeai") will result.  We examine this in detail at move 71, where Black would have to make this choice (and would play the Crosscut Sequence before playing at G18).  The result -- Black cannot succeed.
c) White's stones at the Left Side (Triangles).  As we will see later, even after White plays at C7, Black can add another 4 stones to his stones on the Left Edge (Diamonds), and then sacrifice them all to keep White's group to one large eye.  Eventually, White will be forced to capture the Hanezeki's Tail (Xs) if she wants to save these stones.  However, because of Black's earlier liberty-reducing moves  (65-71), White will be 2 points better off sacrificing these (Triangle) stones, in order to kill Black's Top Right group!  This will be Our Solution.

White must immediately save his Lower Centre group, by playing at H1.  
If, instead, White plays at either N13, or E15, then Black will play at L1, leaving White's group with only one eye.  Eventually, White will have to capture the 20-stone Hanezeki Tail (Xs) in order to save her Lower Centre Group.  However, this will allow Black to kill all the white stones in the Lower Right, so saving all of the black stones at Right -- Black will then win easily.]
SC[fe][ge][ff][fg][gg][gf]MA[hf][if][ig][jg][jh][ji][ii][ij][ik][il][in][im][io][ip][iq][jq][kq][lq][mq]
TR[ef][df][dg][cg][bg][ah][bj][cj][dk][dl][cn][bn][ap][ar]RG[aj][ak][al][am][bm]
(;W[hs]
(;B[ee];W[cm];B[an];W[bo];B[ao];W[aq]
C[If Black mistakenly attacks at B2 now, then White will be able to make 2 eyes for her group at Left.  She will therefore never need to capture the Hanezeki's Tail, and the black group at Top Right will eventually die -- game over.]
(;B[bi]
C[If White tries to push through at C11, her position will be destroyed]
(;W[ai];B[bh];W[ag];B[bk]
C[White at B8 will lead to a liberty shortage, and White will be forced to capture the Hanezeki's Tail by capturing at O3, so losing the game.]
(;W[ck];B[bl]
(;W[fb]
C[If Black at G18, White will destroy the corner, and she will win by at least 10 points.
Black at E18 is correct.
Note that the two forcing exchanges -- Q7 for O7, and S10 for R11 -- were played 25 moves earlier, because they will not be absolute Sente now, after White has played at F18.  Instead of responding to Q7, by connecting with O7, White could play at E17.  In the large-scale exchange that would follow, Black would lose the Top Left Corner, but would capture stones at Right.  The nett effect would be the loss of only one point, to give a result of B+2.  :-)]
(;B[eb];W[gb];B[gc];W[ec];B[fa];W[ha];B[dc]
C[White at G11 gives Black an extra point!];W[gj];B[fi];W[fr];B[er];W[fs]
;B[es];W[gs];B[gd];W[hd];B[ed];W[gq]
C[After Black connects at F4, White will start the final fight (between her group at left, and the b;lack one at top right).  If, now, Black does not respond at F4, and starts the fight himself, he willl gain at most 2 points in that fight, but WHite can now rescue her stone at E3, gaining NN points.]
(;B[fp]
C[White at C8 starts the final fight -- between the white group at left, and Black's Top Right group.  White can kill the big black group (with 2 liberties to spare), but has to sacrifice her group at the left, and Black wins by 3 points.  If Black had just one more liberty, then White could not kill Black's group, and would have to save her group at left, by capturing the Hanezeki's Tail -- Black wins by 5 points.  The next decision come with  White's 162.]
;W[cl];B[ak];W[aj];B[bl];W[ao];B[am];W[mg];B[af];W[ka];B[la];W[nc];B[na]
;W[oa];B[dj];W[kb];B[eg];W[kc];B[dm];W[ne];B[nf];W[lf];B[br];W[kn];B[bq]
;W[lo];B[cf];W[qd];B[ch];W[bm];B[ci];W[li];B[as];W[mh];B[al];W[sf];B[bk]
;W[an];B[al];W[kd];B[bl];W[oc];B[ak];W[md];B[bk];W[am];B[ak]
C[Black's Top Right group has 6 liberties.

White now plays at R13 (or any other liberty of the black group), so killing it.  But the result is still B+3.  Unfortunately for White, playing at O3 is worse -- result is B+5.]
(;W[qg];B[nq];W[oq];B[bk];W[nh];B[al];W[bl];B[ak];W[kk];B[bk];W[kl];B[qr]
;W[km];B[qs];W[ss];B[sq];W[sg];B[sp];W[pg];B[sr];W[gl];B[fl];W[ga];B[ea]
;W[gk];B[fk];W[gm];B[fm];W[pk];B[sj];W[gh];B[gi];W[gn];B[go];W[gp])
(;W[nq];B[mq]
C[If White presses the attack on Black's Top Right group, and plays at R13 (or similar), then Black will stilll be able to kill all of the white stones at Lower Right, with no liberties to spare.  Black would win by 9 points.  Therefore, White chooses to take some profit, and plays at P3 with Sente.  Later, she will capture the black stone at N3, and Black will win by only 5 points.]
(;W[oq];B[qr];W[nq];B[qs];W[ss];B[sq];W[lq];B[sp];W[qg];B[sr];W[sg];B[sj]
;W[nh];B[pk];W[ga];B[ea];W[qf];B[pg];W[mq];B[op]
C[B+5
])
(;W[qg];B[qr];W[sg];B[qs];W[ss];B[sq];W[nh];B[sp];W[km];B[sr];W[kl];B[sj]
;W[kk];B[pk];W[ga];B[ea];W[lq];B[nq];W[qf]
C[B+9])))
(;B[af];W[mg];B[dm];W[cl];B[ak];W[aj];B[bl];W[ao];B[am];W[kn];B[dj];W[lo]
;B[br];W[ka];B[la];W[nc];B[na];W[ne];B[nf];W[oa];B[bq];W[bm];B[eg];W[kd]
;B[cf];W[kc];B[as];W[li];B[ch];W[mh];B[ci];W[qd];B[al];W[sf];B[bk];W[an]
;B[al];W[kb];B[bl];W[qg];B[ak];W[lf];B[bk];W[am];B[ak]
C[White no longer has the opition to sacrifice her group at left, and kill the black group at top right (by playing at T13, say).  So, she captures the Tail, and wins the game.  Result W+3.
]
;W[nq];B[mq];W[oq];B[qr];W[nq];B[qs];W[ss];B[sq];W[lq];B[sp];W[dq]
(;B[dr];W[fp];B[dp];W[go];B[pg];W[qf];B[ea];W[ga];B[cq];W[fq];B[sr];W[mq]
;B[sj];W[oc];B[pk]
C[White wins!  W+3.])
(;B[fp];W[dr]
C[B at D1: W+6
B at D4: W+7]
(;B[ds];W[cs];B[ds];W[es];B[cs];W[dp];B[do];W[mq];B[sr];W[ga];B[ea];W[oc]
;B[sj];W[qf];B[pk];W[er];B[cq]
C[W+6])
(;B[dp];W[ds];B[sr];W[qf];B[sj];W[oc];B[pk];W[ga];B[ea];W[mq]
C[W+7]))))
(;B[gb];W[eb]
(;B[gc];W[ec];B[ed];W[gd];B[fd];W[bb]
(;B[bc];W[cc];B[ab];W[cb];B[dd];W[ac];B[ad];W[ba];B[dc];W[db];B[fa];W[ea]
;B[ga];W[af])
(;B[dc];W[db];B[cc];W[cb];B[af];W[bc];B[dd]
(;W[nq];B[mq])
(;W[cl];B[ak];W[aj];B[bl];W[ao];B[am];W[mg];B[dj];W[nc];B[na];W[oa];B[la]
;W[ne];B[nf];W[kn];B[eg];W[lo];B[br];W[lf];B[bq];W[li];B[dm];W[mh];B[cf]
;W[bm];B[ch];W[qd];B[ci];W[kc];B[as];W[sf];B[al];W[ka];B[bk];W[an];B[al]
;W[kb];B[bl];W[gj];B[fi];W[fr];B[er];W[fs];B[es];W[gs];B[gq];W[gp];B[fp]
;W[ad];B[ae];W[ac];B[fa];W[ea];B[ga];W[ia];B[ak];W[nq];B[mq];W[oq];B[qr]
;W[nq];B[qs];W[ss];B[sq];W[lq];B[sp];W[qf];B[sr];W[oc];B[op];W[mq];B[sj]
;W[kd]
C[W+49])))
(;B[db];W[ec];B[dc];W[fd];B[gc];W[ed];B[gd];W[hd];B[dd];W[ha];B[ea];W[ga]
;B[af];W[mg];B[dj];W[nc];B[na];W[oa];B[la];W[ka];B[cf];W[cl];B[ak];W[aj]
;B[bl];W[ao];B[am];W[ne];B[nf];W[kb];B[eg];W[kn];B[br];W[lo];B[bq];W[li]
;B[ch];W[mh];B[ci];W[bm];B[dm];W[lf];B[as];W[qd];B[al];W[sf];B[bk];W[an]
;B[al];W[kc];B[bl];W[qg];B[ak];W[oc];B[bk];W[am];B[ak];W[gj];B[fi];W[kd]
;B[bk];W[md];B[al];W[bl];B[ak];W[sg];B[nq];W[oq];B[gs];W[gq];B[fr];W[km]
;B[bk];W[kl];B[qr];W[kk];B[qs];W[ss];B[sq];W[nh];B[sr];W[pg];B[da];W[fa]
;B[fp];W[pk];B[sp];W[sj]
C[W+5])))
(;W[gb];B[fb];W[fa];B[ea];W[ga];B[gc];W[ha];B[eb];W[gj];B[fi];W[fr];B[er]
;W[fs];B[es];W[gs];B[gd];W[gq];B[fp];W[hd];B[af];W[mg];B[cf];W[cl];B[ak]
;W[aj];B[bl];W[ao];B[am];W[ne];B[nf];W[nc];B[na];W[oa];B[la];W[kn];B[dj]
;W[lo];B[eg];W[lf];B[br];W[li];B[dm];W[kb];B[ch];W[ka];B[ci];W[bm];B[bq]
;W[qd];B[as];W[kc];B[al];W[sf];B[bk];W[an];B[al];W[mh];B[bl];W[kd];B[ak]
;W[qg];B[bk];W[am];B[ak];W[oc];B[bk]
C[L7 B+7]
(;W[km]
(;B[nq];W[oq];B[al];W[bl];B[ak];W[md];B[bk];W[op];B[qr];W[sg];B[al];W[nh]
;B[qs];W[ss];B[sq];W[kk];B[sp];W[kl];B[sr];W[pg]
C[B+5])
(;B[al];W[nq];B[mq];W[md];B[qr];W[nh];B[qs];W[ss];B[sq];W[sg];B[sp];W[kk]
;B[sr];W[kl];B[sj];W[pg]
C[Jigo]))
(;W[nq];B[mq];W[oq];B[qr];W[nq];B[qs];W[ss];B[sq];W[sg];B[sp];W[nh];B[sr]
;W[km];B[pk];W[kl];B[sj];W[lq];B[op];W[mq];B[pg];W[qf]
C[B+6]))
(;W[cl];B[ak];W[aj];B[bl];W[ao];B[am];W[mg];B[af];W[ka];B[la];W[nc];B[na]
;W[oa];B[dj];W[kb];B[eg];W[kc];B[dm];W[ne];B[nf];W[lf];B[br];W[kn];B[bq]
;W[lo];B[cf];W[bm];B[ch];W[qd];B[ci];W[li];B[as];W[mh];B[al];W[sf];B[bk]
;W[an];B[al];W[kd];B[bl];W[oc];B[ak];W[md];B[bk];W[am];B[ak];W[fb];B[eb]
;W[gb];B[gc];W[ec];B[fa];W[ha];B[dc];W[gj];B[fi];W[fr];B[er];W[fs];B[es]
;W[gs];B[gd];W[hd];B[ed];W[gq];B[fp];W[qg];B[bk];W[sg];B[nq];W[oq];B[al]
;W[bl];B[ak];W[nh];B[bk];W[km];B[qr];W[kk];B[qs];W[ss];B[sq];W[kl];B[sp]
;W[pg];B[sr];W[ga];B[ea]
C[b+4]))
(;W[bl];B[cl];W[dm];B[dj];W[do];B[ci];W[dn];B[ck]))
(;W[ci];B[cl];W[dm];B[dj];W[ck];B[ch];W[nq];B[mq];W[do];B[bh];W[ag];B[ai]
;W[oq];B[qr];W[nq];B[qs];W[ss];B[sq];W[fb];B[eb];W[gb];B[gc];W[ec];B[fa]
;W[ha];B[dc];W[fr];B[er];W[fs];B[es];W[gs];B[gq];W[nc];B[na];W[oa];B[la]
;W[mg];B[eg];W[gj];B[fi];W[fd];B[ed];W[gd];B[qd];W[rd];B[kc];W[jc];B[ec]
;W[sf];B[ka];W[ja];B[sp];W[af];B[ae];W[lf];B[sr];W[lq];B[cf];W[gf];B[ea]
;W[ga];B[ne];W[oc];B[lo];W[li];B[mh];W[qf];B[sg];W[pg];B[sj];W[qg];B[pk]
;W[mq]
C[B+68]))
(;B[br];W[ai];B[bq];W[bk];B[as];W[bl];B[ap];W[ch];B[ci];W[bi];B[af];W[ag]
C[HF game over]))
(;B[nq];W[oq];B[bi];W[ee];B[fd];W[ed];B[dc];W[op];B[dd];W[qr];B[ec];W[ss]
;B[bh];W[ag];B[ai];W[gb];B[fb];W[fa];B[ea];W[ga];B[gc];W[ha];B[gs];W[gq]
;B[fr];W[qs];B[eg];W[gj];B[fi];W[ch];B[ci];W[af];B[ae];W[or];B[gd];W[hd]
;B[cf];W[gf]
C[W+146])
(;B[ch])
(;B[bi]))
(;W[mg];B[ks]
C[W at L19: B+114, W at H1 B+38!! CHECK]
(;W[ka];B[la];W[nc];B[na];W[oa];B[hs];W[kb];B[gl];W[kc];B[gk];W[ne];B[nf]
;W[qd];B[gm];W[lf];B[gq];W[sf];B[gp];W[li];B[go];W[mh];B[gi];W[qg];B[gn]
;W[sg];B[gj]
C[W at P17 or at O3 are essemtially the same : B+38]
(;W[oc];B[nq];W[oq];B[gh]
(;W[kd];B[is];W[md];B[js];W[nh];B[qr];W[kk];B[qs];W[ss];B[sq];W[kn];B[sp]
;W[lo];B[sr];W[km];B[sj];W[kl]
(;B[pk];W[ee];B[fd];W[ed];B[dd];W[cm];B[ec];W[an];B[gb];W[ch];B[ci];W[bi]
;B[gc];W[gd];B[af];W[dm];B[do];W[dj];B[ej];W[eh];B[ei];W[bq];B[cq];W[eg]
;B[ag];W[bk];B[br];W[aq];B[bo];W[ao];B[cf];W[bh];B[ia];W[ja];B[ha];W[qf]
C[B+114])
(;B[gb];W[pg];B[ee];W[cm];B[an];W[bo];B[ao];W[aq];B[br];W[ai];B[bq];W[bk]
;B[as];W[bl];B[ap];W[ch];B[ci];W[bi];B[af];W[ag];B[dm];W[cl];B[gc];W[gd]
;B[dj];W[fd];B[ed];W[ha];B[ga];W[ia];B[cc];W[eg];B[eh];W[pk]
C[HF B+31]))
(;W[op]
(;B[ee])
(;B[is];W[qr]
(;B[js];W[ee];B[fd];W[ed];B[dd]
(;W[cm];B[ec];W[an];B[gb];W[dm];B[do];W[ch];B[ci];W[bi];B[dj];W[bq];B[cq]
;W[af];B[ae];W[ag];B[cf];W[eg];B[eh];W[bk];B[br];W[aq];B[bo];W[ao];B[gc]
;W[gd];B[ia];W[kd];B[ha];W[qf];B[ls];W[nh];B[qs];W[ss];B[sq];W[md];B[sp]
;W[pg];B[sr];W[kn];B[lo];W[km];B[sj];W[kl];B[pk]
C[HF B+118])
(;W[ec]
(;B[bi];W[cb];B[cc];W[db];B[bb];W[fb];B[ba];W[af];B[ae];W[ag];B[ai];W[ch]
;B[ci];W[dc];B[ca];W[da];B[eg];W[gc];B[ls];W[kd];B[qs];W[ss];B[sq];W[kn]
;B[lo];W[nh];B[sp];W[cf];B[be];W[kk];B[sr];W[md];B[sj];W[kl];B[bh];W[qf]
;B[pk]
TB[aa][ba][ca][la][ma][na][ab][bb][lb][nb][ac][bc][cc][lc][ad][bd][cd][dd][ld][pd][ae][be][ce][de][le][me][oe][pe][bf][gf][hf][if][mf][nf][of][eg][fg][gg][hg][ig][jg][og][rg][bh][dh][eh][fh][gh][hh][ih][jh][oh][ph][qh][rh][sh][ai][bi][ci][di][ei][fi][gi][hi][ii][ji][mi][ni][oi][pi][qi][ri][si][aj][bj][cj][dj][ej][fj][gj][hj][ij][lj][mj][nj][oj][pj][qj][rj][sj][ak][bk][ck][dk][ek][fk][gk][hk][ik][lk][mk][nk][ok][pk][qk][rk][sk][al][bl][cl][dl][el][fl][gl][hl][il][ll][ml][nl][ol][pl][ql][rl][sl][am][bm][cm][dm][em][fm][gm][hm][im][lm][mm][nm][om][pm][qm][rm][sm][an][bn][cn][dn][en][fn][gn][hn][in][ln][mn][nn][on][pn][qn][rn][sn][ao][bo][co][do][eo][fo][go][ho][io][ko][lo][no][oo][po][qo][ro][so][ap][bp][cp][dp][ep][fp][gp][hp][ip][np][op][pp][qp][rp][sp][aq][bq][cq][dq][eq][fq][gq][hq][iq][jq][kq][lq][mq][nq][oq][pq][qq][rq][sq][ar][br][cr][dr][er][fr][gr][hr][ir][jr][kr][lr][mr][nr][or][pr][qr][rr][sr][as][bs][cs][ds][es][fs][gs][hs][is][js][ks][ls][ms][ns][os][ps][qs][rs][ss]
TW[da][ea][fa][ga][ha][ia][ja][ka][oa][pa][qa][ra][sa][cb][db][eb][fb][gb][hb][ib][jb][kb][mb][ob][pb][qb][rb][sb][dc][ec][fc][gc][hc][ic][jc][kc][mc][nc][oc][pc][qc][rc][sc][ed][fd][gd][hd][id][jd][kd][md][nd][od][qd][rd][sd][ee][fe][ge][he][ie][je][ke][ne][qe][re][se][af][cf][df][ef][ff][jf][kf][lf][pf][qf][rf][sf][ag][bg][cg][dg][kg][lg][mg][ng][qg][sg][ah][ch][kh][lh][mh][nh][ki][li][jj][kj][jk][kk][jl][kl][jm][jn][kn][jo][mo][jp][kp][lp][mp]
V[135.0]
C[B+135])
(;B[cm];W[dc];B[cc];W[fb])))
(;B[ee];W[ss];B[js];W[sq];B[bi];W[fb];B[eb];W[gb];B[gc];W[ec];B[fa];W[ha]
;B[dc];W[fd];B[ed];W[gd];B[ec];W[ga];B[ea];W[qs];B[ls]
TB[aa][ba][ca][da][ea][fa][ab][bb][cb][db][eb][ac][bc][cc][dc][ec][fc][gc][ad][bd][cd][dd][ed][ae][be][ce][de][ee][fe][af][bf][cf][df][ef][ff][gf][hf][if][ag][bg][cg][dg][eg][fg][gg][hg][ig][jg][ah][bh][ch][dh][eh][fh][gh][hh][ih][jh][ai][bi][ci][di][ei][fi][gi][hi][ii][ji][aj][bj][cj][dj][ej][fj][gj][hj][ij][ak][bk][ck][dk][ek][fk][gk][hk][ik][al][bl][cl][dl][el][fl][gl][hl][il][am][bm][cm][dm][em][fm][gm][hm][im][an][bn][cn][dn][en][fn][gn][hn][in][ao][bo][co][do][eo][fo][go][ho][io][no][oo][po][ap][bp][cp][dp][ep][fp][gp][hp][ip][np][op][pp][aq][bq][cq][dq][eq][fq][gq][hq][iq][jq][kq][lq][mq][nq][oq][pq][qq][ar][br][cr][dr][er][fr][gr][hr][ir][jr][kr][lr][mr][nr][or][pr][as][bs][cs][ds][es][fs][gs][hs][is][js][ks][ls][ms][ns][os][ps]
TW[ga][ha][ia][ja][ka][la][ma][na][oa][pa][qa][ra][sa][fb][gb][hb][ib][jb][kb][lb][mb][nb][ob][pb][qb][rb][sb][hc][ic][jc][kc][lc][mc][nc][oc][pc][qc][rc][sc][fd][gd][hd][id][jd][kd][ld][md][nd][od][pd][qd][rd][sd][ge][he][ie][je][ke][le][me][ne][oe][pe][qe][re][se][jf][kf][lf][mf][nf][of][pf][qf][rf][sf][kg][lg][mg][ng][og][pg][qg][rg][sg][kh][lh][mh][nh][oh][ph][qh][rh][sh][ki][li][mi][ni][oi][pi][qi][ri][si][jj][kj][lj][mj][nj][oj][pj][qj][rj][sj][jk][kk][lk][mk][nk][ok][pk][qk][rk][sk][jl][kl][ll][ml][nl][ol][pl][ql][rl][sl][jm][km][lm][mm][nm][om][pm][qm][rm][sm][jn][kn][ln][mn][nn][on][pn][qn][rn][sn][jo][ko][lo][mo][qo][ro][so][jp][kp][lp][mp][qp][rp][sp][rq][sq][qr][rr][sr][qs][rs][ss]
V[11.0]
C[B+11]))))
(;W[nq];B[mq];W[kn];B[qr];W[lo];B[qs];W[ss];B[sq];W[km];B[sp];W[kl];B[sr]
;W[kk];B[sj];W[cm];B[an];W[bo];B[ao];W[aq];B[br];W[ai];B[dm];W[cl];B[bq]
;W[bk];B[as];W[ee];B[ed];W[fd];B[ec];W[bl];B[ap];W[gb];B[fb];W[gc];B[ch]
;W[bh];B[ci];W[bi];B[dj];W[af];B[ae];W[cf];B[be];W[fa];B[ea];W[ga];B[cc]
;W[eg];B[eh];W[is];B[gs];W[lq];B[nq];W[oc];B[pk];W[ag];B[pg];W[qf]
C[HF B+38]))
(;W[hs];B[js];W[ka];B[la];W[nc];B[na];W[oa];B[gs];W[ne];B[nf];W[kn];B[gq]
;W[lo];B[gp];W[lf];B[gi];W[kb];B[gh];W[qd];B[go];W[li];B[gj];W[mh];B[gk]
;W[kc];B[gl];W[sf];B[gm];W[nq];B[mq];W[qg];B[qr];W[sg];B[qs];W[ss];B[sq]
;W[kk];B[sp];W[kl];B[sr];W[km];B[pk];W[cm];B[an];W[bo];B[ao];W[aq];B[br]
;W[ai];B[bq];W[bk];B[as];W[bl];B[ap];W[ee];B[ed];W[fd];B[ec];W[gb];B[fb]
;W[gc];B[dm];W[cl];B[ch];W[bh];B[ci];W[bi];B[dj];W[af];B[ae];W[cf];B[be]
;W[fa];B[ea];W[ga];B[cc];W[lq];B[nq];W[eg];B[eh];W[nh];B[sj];W[oc];B[pg]
;W[qf];B[gn];W[ag]
C[B+36]))
(;W[ee];B[ks];W[hs];B[js];W[dd];B[cc];W[dc];B[cb];W[db];B[ed];W[ec];B[da]
;W[fd];B[eb];W[ed];B[gb];W[cm];B[an];W[bo];B[ao];W[aq];B[dm];W[cl];B[br]
;W[ai];B[bq];W[bk];B[as];W[gc];B[fb];W[ha];B[bb];W[fr];B[er];W[fs];B[es]
;W[gs];B[gq];W[gp];B[fp];W[dj];B[ej];W[ga];B[ea];W[mg];B[ci];W[bi];B[af]
;W[cf];B[be];W[ka];B[la];W[nc];B[na];W[oa];B[qd];W[rd];B[eg];W[gj];B[gi]
;W[gh];B[fi];W[kb];B[kc];W[jc];B[lo];W[sf];B[kd];W[ne];B[nf];W[mh];B[li]
;W[gm];B[gk];W[gl];B[fk];W[lf];B[fm];W[qg];B[fl];W[oc]
(;B[gn];W[nq];B[mq];W[oq];B[qr];W[nq];B[qs];W[ss];B[sq];W[lh];B[sp];W[nh]
;B[sr];W[sg];B[sj];W[kk];B[pk];W[lq];B[ap];W[mq];B[ca];W[ia];B[pg];W[qf]
C[HF B+22])
(;B[nq];W[oq];B[gn];W[op];B[go];W[qr];B[ls];W[is];B[ks];W[ss];B[ls];W[sq]
;B[js];W[ia];B[ca];W[ag];B[ch]
C[W+49])))
(;W[nq];B[mq];W[oq];B[qr];W[nq];B[qs];W[ss];B[sq];W[lq];B[sp];W[cm];B[an]
;W[bo];B[ao];W[aq];B[br];W[ed];B[ec];W[ee];B[fd];W[dd];B[cc];W[dc];B[db]
;W[ef];B[bb];W[ai];B[bq];W[bk];B[as];W[dm];B[do];W[gb];B[fb];W[fa];B[ea]
;W[ga];B[gc];W[ha];B[dj];W[bl];B[ap];W[fi];B[fh];W[gi];B[eh];W[mg];B[ch]
;W[bh];B[ci];W[bi];B[kc];W[gd];B[eb];W[jc];B[qd];W[rd];B[af];W[cf];B[be]
;W[nc];B[na];W[oa];B[la];W[sf];B[lf];W[ka];B[kb];W[ja];B[kf];W[gs];B[fs]
;W[hs];B[gq];W[kd];B[fl];W[gl];B[fm];W[ne];B[nf];W[kn];B[lo];W[li];B[mh]
;W[qg];B[sr];W[sg];B[sj];W[gp];B[fp];W[qf];B[pk];W[mq];B[ej];W[gk];B[md]
;W[oc]
C[HF B+29]))
(;W[mg];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[rf]
C[Reverts to main line])
(;W[ee])
(;W[cm])
(;W[ge])
(;W[fb])
(;W[eb]
(;B[ec];W[fb];B[db];W[ge];B[qf];W[mg];B[sf];W[rf];B[pg];W[cm];B[an];W[bo]
;B[ao];W[aq];B[dm];W[cl];B[br];W[ai];B[bq];W[bk];B[as];W[gb];B[gf];W[fh]
;B[ef];W[fg];B[ee];W[bl];B[ap];W[eg];B[dj])
(;B[fb];W[ee];B[qf];W[ed];B[ec];W[dd];B[cb];W[cm];B[an];W[bo];B[ao];W[aq]
;B[dm];W[cl];B[br];W[bc];B[ha];W[cc];B[bb];W[ab];B[db];W[ai];B[bq];W[bk]
;B[as]))
(;W[ed];B[ee];W[ge];B[qf];W[mg];B[sf];W[rf];B[pg];W[fd];B[ec];W[dd];B[cc]
;W[dc];B[db];W[gd];B[bb];W[cm];B[an];W[bo];B[ao];W[aq];B[dm];W[cl];B[br]
;W[ai];B[bq];W[bk];B[as];W[fb];B[eb];W[gb];B[fh];W[fg];B[ch];W[bi];B[rd]
;W[qd];B[se];W[rc];B[sd];W[sc];B[sg];W[hs];B[gs];W[gq];B[fr];W[dj];B[ej]
;W[oa];B[na];W[af];B[ae];W[cf];B[be];W[ea];B[da];W[fa];B[gc];W[ha];B[kd]
;W[kb];B[la];W[oc];B[kc];W[jc];B[ka];W[ja];B[eh];W[gj];B[fi];W[ag];B[rj]
;W[qi];B[pm];W[nm];B[ne];W[md];B[lf];W[kf];B[lo];W[je];B[ap];W[gf];B[ef]
;W[eg];B[bl];W[gp];B[fp];W[li];B[mh]
C[B+10])
(;W[gb];B[cm];W[ee];B[qf];W[mg];B[sf];W[rf];B[pg];W[ed];B[dd];W[ec];B[bi]
;W[cb];B[cc];W[bb];B[dc];W[db];B[af])
(;W[fd];B[ee];W[gd];B[ed];W[cm];B[gf];W[ge];B[fg];W[ef];B[fh];W[hs];B[an]
;W[bo];B[ao];W[aq];B[dm];W[cl];B[br];W[ai];B[bq];W[bk];B[as];W[ch];B[ci]
;W[bi];B[af];W[ag];B[qf];W[mg];B[sf];W[rf];B[pg];W[fb];B[eb];W[gb];B[fa]
;W[fr];B[er];W[fs];B[es];W[gs];B[gq];W[qd])
(;W[gf];B[qf];W[mg];B[sf];W[rf];B[pg];W[cm];B[an];W[bo];B[ao];W[aq];B[dm]
;W[cl];B[br];W[ai];B[bq];W[bk];B[as];W[ed];B[ec];W[ee];B[dd];W[fd];B[gb]
)
(;W[gd];B[ee];W[cm];B[gf];W[ge];B[fg];W[ef];B[fh];W[hs];B[an];W[bo];B[ao]
;W[aq];B[dm];W[cl];B[br];W[ai];B[bq];W[bk];B[as];W[ch];B[ci];W[bi];B[af]
;W[ag];B[qf];W[mg];B[sf];W[rf];B[pg];W[fb];B[eb];W[gb];B[fa];W[fd];B[ed]
;W[oa];B[na];W[fr];B[er];W[fs];B[es];W[gs];B[gq];W[dj];B[ej];W[eg];B[eh]
;W[gj];B[fi];W[qd];B[se];W[sd];B[sg];W[nc];B[la];W[kc];B[kd];W[kb];B[ka]
;W[ja];B[ec];W[ga];B[ea];W[gc];B[pm];W[nm];B[rj];W[qi];B[li];W[mh];B[lf]
;W[kf];B[ne];W[oc];B[ap];W[je];B[cf];W[kn];B[lo];W[gp];B[fp]
C[B+12])
(;W[ef];B[qf];W[mg];B[sf];W[rf];B[pg]
(;W[gb];B[fb];W[fa];B[ea];W[ga];B[gc];W[ha];B[eb];W[cm];B[an];W[bo];B[ao]
;W[aq];B[br];W[ai];B[bq];W[bk];B[as];W[dm];B[dj];W[do];B[ge];W[gf])
(;W[cm];B[ge];W[gf];B[gb];W[kd];B[an];W[bo];B[ao];W[aq];B[br];W[ai];B[bq]
;W[bk];B[as])
(;W[ed];B[ec];W[ee];B[dd];W[cm];B[an];W[bo];B[ao];W[aq];B[br];W[ai];B[bq]
;W[bk];B[as];W[fd];B[gb]))
(;W[dm];B[an];W[do];B[bo];W[bi];B[gf];W[ge];B[fg];W[ef];B[fh];W[hs];B[ee]
)
(;W[eg];B[qf];W[mg];B[sf];W[rf];B[pg];W[cm];B[ge];W[gf];B[gb];W[gd];B[fd]
;W[kd];B[an];W[bo];B[ao];W[aq];B[br];W[ai];B[bq];W[bk];B[as];W[dm];B[dj]
;W[do];B[dp];W[bl];B[ap];W[nc];B[na];W[oa];B[la];W[se];B[qd];W[rd];B[fh]
TR[fh];W[gs];B[fs];W[hs];B[gc];W[hd];B[ch];W[bi];B[fi];W[eh];B[ei];W[gl]
;B[fl];W[af];B[ae];W[ag];B[ee];W[gq];B[fr];W[cf];B[be];W[kc];B[ha];W[oc]
;B[sg];W[kf];B[rj];W[qi];B[pm];W[nm];B[lo];W[gk];B[fk];W[gm];B[fm];W[ne]
;B[nf];W[ef];B[eo];W[dn];B[fp];W[li];B[mh]
C[B+17])
(;W[fg];B[qf];W[mg];B[sf];W[rf];B[pg];W[ed];B[ee];W[ec];B[ge];W[gf];B[eb]
;W[fb];B[gb];W[fd];B[gc];W[gd];B[dc];W[hd];B[dd];W[ha];B[fa];W[kd]
(;B[cm];W[ai];B[fh];W[hs];B[gs];W[gq];B[fr]
(;W[dj];B[ej];W[dm];B[do])
(;W[dm];B[do];W[dj];B[ej];W[nc];B[na];W[oa];B[la];W[se];B[qd];W[rd];B[ch]
;W[bi];B[rj];W[qi];B[pm];W[nm];B[af];W[kc];B[eh];W[gi];B[fi];W[gl];B[fm]
;W[sg];B[sc];W[rc];B[sf];W[ia];B[ga];W[sg];B[ag];W[bh];B[ks];W[js];B[sf]
;W[cl];B[bk];W[sg];B[lf];W[kf];B[sf];W[bl];B[an];W[sg];B[ne];W[sf];B[cf]
;W[ef];B[bo];W[gp];B[fp];W[kn];B[lo];W[oc]
C[B+28]))
(;B[bi];W[ai];B[bh];W[ag];B[cm];W[ei];B[dj];W[ej];B[eh];W[fi];B[ck];W[fh]
;B[bk];W[hs];B[gs];W[gq];B[fr];W[nc];B[na];W[oa];B[la];W[af];B[ae];W[cf]
;B[be];W[se];B[qd];W[rd];B[rj];W[qi];B[pm];W[nm];B[fk];W[gj];B[kc];W[jc]
;B[ga];W[ia];B[sg];W[oc];B[ne];W[eg];B[ci];W[kf];B[lo];W[gp];B[fp];W[gm]
;B[fm];W[kb];B[ka]
C[B+39]))
(;W[fh];B[qf];W[mg];B[sf];W[rf];B[pg];W[eb];B[ec];W[fb];B[db];W[gb];B[cm]
;W[cb];B[cc];W[da];B[bb];W[dc];B[dd]
(;W[eh])
(;W[ei])
(;W[qd])))
(;B[qf];W[rf];B[qg];W[mg];B[rj];W[qi];B[pm];W[nm];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[fb]
(;B[ne]
C[W should play tenuki now at E17!!!];W[nc];B[eb];W[gb];B[gc];W[ec];B[fa]
;W[ha];B[dc];W[gj];B[fi];W[fr];B[er];W[fs];B[es];W[gs];B[gd];W[hd];B[ed]
;W[gq];B[fp];W[na]
(;B[dm];W[cl];B[ak];W[aj];B[bl];W[ao];B[am];W[bk];B[al];W[la];B[af];W[kb]
;B[cf];W[kn];B[dj];W[lo];B[eg];W[lf];B[br];W[qd];B[ch];W[sg];B[ci];W[rg]
;B[bq];W[kc];B[as];W[li];B[bm];W[an];B[al];W[mh];B[bl];W[kd];B[am];W[md]
;B[bm];W[ak];B[al];W[nq];B[mq];W[oq];B[qr];W[nq];B[qs];W[ss];B[sq];W[kk]
;B[sp];W[kl];B[sr];W[km];B[sj];W[nh];B[pk];W[ga];B[ea];W[lq];B[op];W[mq]
C[Jigo])
(;B[la];W[kb];B[dm];W[cl];B[ak];W[aj];B[bl];W[ao];B[am];W[bk];B[al];W[ka]
;B[af];W[qd];B[cf];W[sg];B[dj];W[kn];B[eg];W[lo];B[ch];W[li];B[ci];W[mh]
;B[br];W[lf];B[bq];W[kc];B[as];W[rg];B[bm];W[an];B[al];W[kd];B[bl];W[md]
;B[am];W[nf];B[bm];W[ak];B[al];W[nq];B[mq];W[oq];B[qr];W[nq];B[qs];W[ss]
;B[sq];W[nh];B[sp];W[kk];B[sr];W[kl];B[sj];W[km];B[pk];W[ga];B[ea]))
(;B[eb];W[gb];B[gc];W[ec];B[fa];W[ha];B[dc];W[gj];B[fi];W[fr];B[er];W[fs]
;B[es];W[gs];B[gd];W[hd];B[ed];W[gq];B[fp];W[ne];B[nf];W[nc];B[na];W[oa]
;B[la];W[kb];B[dm];W[cl];B[ak];W[aj];B[bl];W[ao];B[am];W[bk];B[al];W[ka]
;B[af];W[kc];B[cf];W[kn];B[dj];W[lo];B[eg];W[li];B[br];W[mh];B[bq];W[qd]
;B[ch];W[sg];B[ci];W[rg];B[as];W[lf];B[bm];W[an];B[al];W[oc];B[bl];W[md]
(;B[am]
(;W[kd]
(;B[bm]
(;W[nq];B[mq];W[nh];B[qr];W[kk];B[qs];W[ss];B[sq];W[kl];B[sp];W[km];B[sr]
;W[pg];B[ea];W[ga];B[lq];W[kq];B[nq]
C[W+94])
(;W[ak]
(;B[nq];W[oq];B[al];W[op];B[bl];W[qr];B[am];W[bm];B[al];W[ss];B[bl];W[sq]
;B[ea];W[ga];B[am];W[qs]
C[W+49])
(;B[al];W[nq];B[mq];W[nh];B[qr];W[kk];B[qs];W[ss];B[sq];W[kl];B[sp];W[lq]
;B[sr];W[km];B[sj];W[pg];B[nq];W[ga];B[ea])))
(;B[nq];W[oq];B[bm];W[ak];B[al];W[op];B[bl];W[qr];B[am];W[bm];B[al];W[ss]
;B[bl];W[sq];B[am];W[ga];B[ea];W[qs]))
(;W[nq];B[mq];W[kd];B[qr];W[nh];B[qs];W[ss];B[sq];W[kk];B[sp];W[kl];B[sr]
;W[km];B[sj];W[pg]))
(;B[nq];W[oq]
C[B loses almost everything])))
(;B[mg];W[rg];B[rj];W[qi];B[pm];W[nm];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[fb]
(;B[ne]
C[HF Whitae at E17 threatens to kill the corner, but then Black's Top Right group lives ..]
(;W[nc];B[eb];W[gb];B[gc];W[ec];B[fa];W[ha];B[dc];W[gj];B[fi];W[fr];B[er]
;W[fs];B[es];W[gs];B[gd];W[hd];B[ed];W[gq]
(;B[fp];W[na]
C[HF ?? -> W+2
];B[dm];W[cl];B[ak];W[aj];B[bl];W[ao];B[am];W[bk];B[al];W[la]
;B[af];W[kb];B[cf];W[qg];B[dj];W[pg];B[eg];W[sg];B[br];W[kn];B[bq];W[lo]
;B[as];W[kc];B[ch];W[lf];B[ci];W[li];B[bm];W[an];B[al];W[mh];B[bl];W[nh]
;B[am]
(;W[qd]
(;B[bm]
(;W[ak]
(;B[al]
C[Punishment];W[nq];B[mq];W[kk];B[qr];W[kl];B[qs];W[ss];B[sq];W[kd];B[sp]
;W[md];B[sr];W[km];B[pk];W[nf];B[ea];W[ga]
C[Punishment])
(;B[nq];W[oq];B[al];W[op];B[bl];W[qr];B[am];W[bm];B[al];W[ss];B[bl];W[sq]
;B[ea];W[ga]))
(;W[nq];B[mq];W[kd];B[qr];W[kk];B[qs];W[ss];B[sq];W[kl];B[sp];W[km];B[sr]
;W[md];B[sj];W[nf]
C[Punishment]))
(;B[nq];W[oq];B[bm];W[ak];B[al];W[op];B[bl];W[qr];B[am];W[bm];B[al];W[ss]
;B[bl];W[sq];B[ea];W[ga];B[am];W[qs]
C[W+57]))
(;W[nq];B[mq]
(;W[kd];B[qr];W[md];B[qs];W[ss];B[sq];W[kk];B[sp];W[kl];B[sr];W[km];B[sj]
;W[qd];B[pk];W[ga];B[ea];W[lq];B[nq])
(;W[oq];B[qr];W[nq];B[qs];W[ss];B[sq];W[qd];B[sp];W[kd];B[sr];W[ga];B[ea]
;W[lq];B[op]TR[lq];W[mq];B[or];W[gl];B[fl];W[gk];B[fk];W[gm];B[fm];W[lh]
;B[pk];W[md];B[sj];W[nf];B[kk];W[kl];B[km];W[gh];B[gi];W[gn];B[go];W[gp]
C[W+2])))
(;B[af];W[na];B[dm];W[cl];B[ak];W[aj];B[bl];W[ao];B[am];W[la];B[dj];W[kb]
;B[eg];W[kn];B[br];W[bm];B[cf];W[lo];B[ch];W[lf];B[ci];W[li];B[bq];W[qd]
;B[as];W[kc];B[al];W[qg];B[bk];W[an];B[al];W[mh];B[bl];W[nh];B[ak];W[sg]
;B[bk]
(;W[nq];B[mq];W[kk];B[qr];W[kl];B[qs];W[ss];B[sq];W[pg];B[sp];W[kd];B[sr]
;W[km];B[pk];W[md];B[sj])
(;W[am];B[ak];W[pg];B[nq];W[oq];B[al];W[md];B[bk];W[bl];B[ak];W[op];B[bk]
;W[kk];B[qr];W[kd];B[al];W[kl];B[qs];W[ss];B[sq];W[km];B[sp]
(;W[nf];B[sr];W[ga];B[ea])
(;W[fp];B[dq];W[fq];B[sr];W[ga];B[sj];W[nf];B[ea]
C[W+1]))))
(;W[ec];B[nc];W[cc]))
(;B[eb];W[gb];B[gc];W[ec];B[fa];W[ha];B[dc];W[gj];B[fi];W[fr];B[er];W[fs]
;B[es];W[gs];B[gd];W[hd];B[ed];W[gq];B[fp];W[ne];B[nf];W[nc];B[na];W[qg]
;B[af];W[oa];B[la];W[kb];B[dj];W[ka];B[cf];W[cl];B[ak];W[aj];B[bl];W[ao]
;B[am];W[sg];B[eg];W[bm];B[br];W[pg];B[bq];W[kn];B[ch];W[lo];B[ci];W[lf]
;B[dm];W[kc];B[as];W[qd];B[al];W[mh];B[bk];W[an];B[al];W[li];B[bl];W[oc]
;B[ak];W[md];B[bk];W[am];B[ak];W[nq];B[mq]))
(;B[gf]
C[HF: 
JKS:
Check out 
http://igohatsuyoron120.de/2015/0091.htm
http://igohatsuyoron120.de/2015/0095.htm
http://igohatsuyoron120.de/2015/1059.htm
http://igohatsuyoron120.de/2015/1059.htm
]
;W[ge];B[fg];W[ef];B[fh];W[hs]
C[Black at S13 is the best move -- Black wins by 2 points (one point worse than the result of Our Solution.  This would have been followed by the exchanges of Q7 / O7 and S10 / R11.  These exchanges should be played before Black is weakened on the Left Side, and the Top Left Corner.
Black at G18, can lead to a very strange sequence of three ko threats, such that the first ko threat, is not a direct ko threat, but rather a threat to make a ko threat, which itself threatens to make a third Ko Threat!
Black at Q7 shows these forcing exchanges, but not the options that woushould be following them.  Of course, Black at s13 would still be the best continuation, with E15, G18, and B11 being less interesting options.
]
(;B[rg]
C[Black should have played the double empty triangle (S13) earlier -- before playing G14 to separate the white stones.  The delay will cost him one point]
(;W[ee]
C[If Black at R14, then Black will live,  B+2.  
If Black saves his stone in Atari with F16, White will win by 8 points.]
(;B[qf];W[mg];B[sf];W[rf];B[pg]
C[White at D16 ==> Black wins by 2 points.
White at E16 ==> B+2, as well!]
(;W[ed];B[dd];W[cm];B[an];W[bo];B[ao];W[aq];B[dm];W[cl]
C[If Black at B2, then W+2.  So, Black plays at E17 to get B+2]
(;B[ec];W[ai];B[br];W[bk];B[bq];W[bl];B[gb];W[fd];B[gc];W[gd];B[rd];W[qd]
;B[se];W[rc];B[sd];W[sc];B[sg];W[fr];B[er];W[fs];B[es];W[gs];B[gq];W[nc]
;B[na];W[oa];B[la];W[dj];B[ej];W[af];B[ae];W[cf];B[be];W[eg];B[eh];W[ch]
;B[ci];W[bi];B[kd];W[kb];B[kc];W[jc];B[rj];W[qi];B[pm];W[nm];B[ha];W[gj]
;B[fi];W[ag];B[as];W[ao];B[ia];W[ja];B[ka];W[je];B[lf];W[kf];B[ne];W[oc]
;B[lo];W[gp];B[fp];W[gm];B[fm];W[gl];B[fk];W[gk];B[fl];W[li];B[mh];W[md]
;B[gh];W[nf];B[gi];W[nh];B[gn];W[lh];B[go];W[kk];B[kn];W[kl];B[km];W[qr]
C[B+2])
(;B[br];W[ai];B[bq];W[bk];B[as];W[ec];B[db];W[eb];B[dc];W[da];B[ca];W[ea]
;B[bb];W[dj];B[ej];W[nc];B[na];W[oa];B[la];W[fr];B[er];W[fs];B[es];W[gs]
;B[gq];W[se];B[qd];W[rd];B[af];W[ch];B[ci];W[bi];B[eg];W[gj];B[fi];W[kd]
;B[rj];W[qi];B[pm];W[nm];B[kc];W[jc];B[sg];W[ja];B[lo];W[bl];B[ap];W[ag]
;B[cf];W[gp];B[fp];W[oc];B[nf];W[li];B[mh];W[kf]
C[W+3]))
(;W[dd];B[cc];W[dc];B[cb];W[db];B[ed];W[ec];B[da];W[fd];B[eb];W[ed];B[gb]
;W[gc];B[fb];W[ha];B[bb];W[cm];B[an];W[bo];B[ao];W[aq];B[br];W[ai];B[dm]
;W[cl];B[bq];W[bk];B[as];W[dj];B[ej];W[af];B[ae];W[cf];B[be];W[fr];B[er]
;W[fs];B[es];W[gs];B[gq];W[nc];B[na];W[oa];B[la];W[se];B[qd];W[rd];B[ch]
;W[bh];B[ci];W[bi];B[eg];W[gj];B[fi];W[ga];B[ea];W[kd];B[kc];W[jc];B[sg]
;W[ag];B[ne];W[oc];B[lf];W[kf];B[lo];W[ia];B[ca];W[bl];B[ap];W[gp];B[fp]
;W[li];B[mh];W[qr]
C[B+2]))
(;B[fd];W[ed];B[ec];W[dd];B[cb];W[cm];B[an];W[bo];B[ao];W[aq];B[cc];W[rf]
;B[bi];W[ai];B[bh];W[ag];B[bk];W[ck];B[bl];W[gb];B[pm];W[nm];B[rj];W[qi]
;B[ne];W[nc];B[fb];W[gj];B[fi];W[fr];B[er];W[fs];B[es];W[gs];B[gq];W[na]
;B[dm];W[cl];B[ak];W[aj];B[bl];W[ao];B[am];W[mg];B[eg];W[la];B[bc];W[kn]
;B[af];W[lo];B[cf];W[kb];B[dc];W[bm];B[br];W[li];B[bq];W[mh];B[dj];W[kc]
;B[as];W[kd];B[ch];W[qd];B[ci];W[qg];B[al];W[sf];B[bk];W[an];B[al];W[lf]
;B[bl];W[md];B[ak];W[sg];B[bk];W[am];B[al]
C[If White attacks Black with O14, say, then Black will win by 7 points.  So, White simply captures the Tail with O3, and now she wins by 8 points!]
(;W[nq];B[mq];W[oq];B[qr];W[nq];B[qs];W[ss];B[sq];W[lq];B[sp];W[fa];B[ea]
;W[ga];B[gc];W[ha];B[gd];W[hd];B[sr];W[mq];B[sj];W[nf];B[pk];W[qf]
C[W+8])
(;W[nf];B[nq];W[oq];B[bl];W[nh];B[ak];W[bk];B[al];W[kk];B[qr];W[op];B[bl]
;W[km];B[ak];W[kl];B[qs];W[pg];B[ss];W[fa];B[ea];W[ga];B[gc];W[ha];B[gd]
;W[hd]
C[B+7])))
(;W[rf]
C[This is the main line of Our Solution -- now this is an inferior result for White -- one point worse than she can get by playing the Atari at E15.]
;B[ee];W[cm]))
(;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[rg]
;B[dm];W[cl];B[ak];W[aj];B[bl];W[ao];B[am];W[fb]
C[HF It is probably not safe for Black to play this Atari !!!
Assuming that it is OK, then Black will eventually have Sente to block at E18.  Result B+2.
However, if not safe, then White will continue with the Hane of E17, and will kill the corner.  The Result will probably be one of B+2/ B+1/ B=W/ W+1/ W+2]
;B[pm]
C[HF If White connects at O7, and also responds to Black's S10 with R11, then Black will be able to block at E18.  Now, if White does not connect, she can play the Hane at E17, and she will kill Black's corner.]
(;W[ec]
(;B[nm]
(;W[cc];B[nq];W[fr];B[er];W[fs];B[es];W[gs];B[gq];W[gj];B[fi];W[nc];B[na]
;W[oa];B[la];W[qg];B[dj];W[mg];B[lf];W[kf];B[kc];W[jc];B[ja];W[ia];B[qd]
;W[rd];B[sg];W[sf];B[pg];W[qf];B[bq];W[eg];B[eh];W[br];B[ka];W[fk];B[fl]
;W[gk];B[kd];W[bm];B[ej];W[je];B[mh];W[gp];B[fp];W[as];B[cs];W[gm];B[fm]
C[W+1])
(;W[nq];B[cc];W[mq];B[gd];W[ed];B[fd];W[eb];B[db];W[dc];B[cb];W[fr];B[er]
;W[fs];B[es];W[gs];B[gq];W[af];B[ae];W[cf];B[be];W[nc];B[na];W[oa];B[la]
;W[mg];B[dj];W[bq];B[cq];W[gj];B[fi];W[eg];B[eh];W[gc];B[hd];W[id];B[gb]
;W[ic];B[dd];W[ga];B[ea];W[ha];B[qg];W[qf];B[qd];W[rd];B[sg];W[rf];B[sf]
;W[se];B[fl];W[kc];B[kb];W[kd];B[gm];W[gl];B[gn];W[br];B[cs];W[ja];B[lf]
;W[fk];B[gk];W[ci];B[ch];W[fk];B[da];W[fa];B[gk];W[kn];B[lo];W[fk];B[fp]
;W[gk];B[ej];W[oc];B[nf];W[li];B[mh]
C[HF B+5??]))
(;B[nq];W[oq]
(;B[cc];W[nm]
C[HF Black loses !!!])
(;B[nm];W[cc])))
(;W[nm];B[rj];W[qi];B[eb];W[gb];B[gc];W[ec];B[fa];W[ha];B[dc];W[gj];B[fi]
;W[fr];B[er];W[fs];B[es];W[gs];B[gd];W[hd];B[ed];W[gq];B[fp];W[mg];B[dj]
;W[ka];B[la];W[nc];B[na];W[ne];B[nf];W[kn];B[af];W[lo];B[eg];W[li];B[br]
;W[bm];B[bq];W[mh];B[cf];W[kc];B[as];W[kb];B[ch];W[oa];B[ci];W[qd];B[al]
;W[qg];B[bk];W[an];B[al];W[lf];B[bl];W[sg];B[ak];W[pg];B[bk];W[am];B[ak]
;W[nq];B[mq];W[oq];B[qr];W[nq];B[qs];W[ss];B[sq];W[ga];B[ea];W[oc];B[sp]
;W[lq];B[sr];W[mq];B[pk];W[op];B[sj]
C[B+2]))
(;B[rg]))
(;B[gb]
C[HF http://igohatsuyoron120.de/2015/0091.htm#q015v017v065v073vc094v
];W[cm]
(;B[mg]
(;W[rg]
(;B[qf]
(;W[qg];B[pg];W[rf]
(;B[kf];W[lf]
(;B[gd]
(;W[hd];B[kd];W[kb];B[ne];W[nc];B[ka]
(;W[ee];B[fd];W[ed]
(;B[dc]
(;W[ja];B[la]
C[{*} HF White at E17 leads to 3 ko ***
White at N12 Black dies
White at M12 Black dies

]
(;W[lh];B[ic];W[jc];B[mh];W[na];B[ha];W[qi];B[lo];W[qd];B[kn];W[sg];B[km]
(;W[je]
(;B[kl]
(;W[kf];B[gc];W[pf]
(;B[nq];W[oq];B[ia];W[qf];B[kk];W[md];B[li];W[nh]
C[Black dies on Right of board])
(;B[pm];W[nm]))
(;W[nq]))
(;B[gc]))
(;W[pf]))
(;W[mh])
(;W[ec]))
(;W[ia])
(;W[kc]))
(;B[ec]))
(;W[pf])
(;W[ja]))
(;W[kd]))
(;B[gc])
(;B[ic])
(;B[kd]))
(;B[lf])
(;B[gd]))
(;W[ee]))
(;B[kf])
(;B[ee]))
(;W[ee])
(;W[rf])
(;W[qg]))
(;B[ee])
(;B[qf])
(;B[ne]))
(;B[bi];W[ee];B[fd];W[ed];B[dc];W[ec];B[eb];W[db]
(;B[gb]
(;W[dd];B[cc];W[bc];B[cb];W[bb];B[da]
(;W[ba];B[ca];W[ae]
(;B[qf];W[rf];B[pg];W[rg];B[mg];W[qg];B[kf];W[lf]
(;B[kd];W[jc];B[gd];W[hd]
(;B[ne];W[nc];B[lh];W[li];B[mh]
(;W[kb];B[ka];W[ia];B[lo];W[na];B[la];W[qi];B[kn];W[je];B[km];W[kf];B[gc]
;W[qd];B[ha];W[sg];B[be];W[cf];B[ac];W[af];B[id];W[pf];B[pm];W[nm];B[qf]
;W[nh];B[nq];W[oq];B[kl];W[pf];B[ab];W[ad];B[qf];W[fa];B[fb];W[pf]
C[Black has no more Ko threats.])
(;W[pf]))
(;B[lh]))
(;B[ic]))
(;B[mg]))
(;W[ae]))
(;W[ea]))
(;B[fb]))
(;B[pm];W[nm];B[rj];W[qi]))
(;B[ne]
(;W[nc]
(;B[rg];W[rf]
(;B[gf]
C[HF In reality, _before_ playing here, B would play the exchanges B@Q7/W@O7, B@S10/W@R11 first.  We do not do these so that -- in a few moves time -- we can show what happens if he does not!

]
;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[fb]
(;B[pm]
(;W[ec];B[nm];W[cc];B[dm];W[cl];B[nq];W[dj];B[ej];W[fr];B[er];W[fs];B[es]
;W[gs];B[gq];W[bq];B[cq];W[na];B[mg];W[la];B[ka];W[ma];B[kb];W[kd];B[qd]
;W[rd];B[kc];W[jc];B[ja];W[ia];B[eg];W[gj];B[fi];W[br];B[sf];W[se];B[mh]
;W[sg];B[bc];W[bb];B[sf];W[cs];B[ds];W[sg];B[sc];W[rc];B[sf];W[ch];B[ci]
;W[sg];B[ao];W[an];B[sf];W[kn];B[lo];W[sg];B[cb];W[db];B[sf];W[gp];B[fp]
;W[sg];B[ca];W[da];B[sf];W[qf];B[sg];W[ao];B[cs];W[kf]
C[HF B+2  CHECK])
(;W[nm];B[rj];W[qi];B[eb];W[gb];B[gc];W[ec];B[fa];W[ha];B[dc];W[gj];B[fi]
;W[fr];B[er];W[fs];B[es];W[gs];B[gd];W[hd];B[ed];W[gq];B[fp]
(;W[na];B[mg];W[mh];B[nh];W[lh];B[af];W[la];B[cf];W[cl];B[ak];W[aj];B[bl]
;W[ao];B[am];W[kb];B[dj];W[kc];B[eg];W[kd];B[br];W[qd];B[dm];W[bm];B[bq]
;W[kn];B[ch];W[lo];B[ci];W[sf];B[as];W[lf];B[al];W[qg];B[bk];W[an];B[al]
;W[sg];B[bl];W[md];B[ak];W[qf];B[bk];W[am];B[ak];W[km];B[nq];W[oq];B[bk]
;W[kl];B[al];W[bl];B[ak];W[kk];B[qr];W[op];B[bk];W[li];B[al];W[pg];B[qs]
;W[ss];B[sq];W[nf];B[sp];W[ga];B[ea];W[sj];B[sr]
C[B+3  CHECK])
(;W[mg];B[na];W[ka];B[la];W[oa];B[af];W[kb];B[cf];W[cl];B[ak];W[aj];B[bl]
;W[ao];B[am];W[qd];B[dj];W[kn];B[eg];W[lo];B[br];W[li];B[dm];W[mh];B[bq]
;W[bm];B[as];W[lf];B[ch];W[sf];B[ci];W[kc];B[al];W[oc];B[bk];W[an];B[al]
;W[qg];B[bl];W[kd];B[ak];W[md];B[bk];W[am];B[ak];W[sg];B[nq];W[oq];B[bk]
(;W[nf];B[al];W[bl];B[ak];W[nh];B[qr];W[op];B[bk];W[km];B[al];W[kl];B[qs]
;W[ss];B[sq];W[kk];B[sp];W[pg];B[sr];W[ga];B[ea]
C[B+3])
(;W[op];B[bl];W[al];B[bk];W[qr];B[ak];W[ss];B[sq];W[nf];B[bl];W[nh];B[qs]
;W[km];B[sp];W[kl];B[sr];W[kk];B[sj];W[pg];B[ea];W[ga]))))
(;B[eb];W[gb];B[gc];W[ec];B[fa];W[ha];B[dc];W[rj]
(;B[pm];W[nm];B[qi];W[gj];B[fi];W[fr];B[er];W[fs]TR[fs];B[es];W[gs];B[gd]
;W[hd];B[ed];W[gq];B[fp];W[ka];B[la];W[na];B[af];W[mg];B[cf];W[cl];B[ak]
;W[aj];B[bl];W[ao];B[am];W[kb];B[dj];W[kc];B[eg];W[kd];B[br];W[md];B[bq]
;W[qd];B[dm];W[bm];B[as];W[kn];B[ch];W[lo];B[ci];W[li];B[al];W[mh];B[bk]
;W[an];B[al];W[lf];B[bl];W[sf];B[ak];W[nf];B[bk];W[am];B[ak];W[qg];B[nq]
;W[oq];B[bk];W[sg];B[al];W[bl];B[ak];W[nh];B[qr];W[op];B[bk];W[km];B[al]
;W[kl];B[qs];W[ss];B[sq];W[kk];B[sp];W[pg];B[ea];W[ga];B[sr]
C[B+2 CHECK])
(;B[gs];W[sj];B[qi];W[gj];B[fi];W[gq];B[fr];W[fd];B[ed];W[gd];B[ec];W[mg]
;B[na];W[ka];B[la];W[oa];B[af];W[kb];B[cf];W[cl];B[ak];W[aj];B[bl];W[ao]
;B[am];W[kc];B[dj];W[kn];B[eg];W[lo];B[br];W[li];B[dm];W[mh];B[bq];W[bm]
;B[as];W[lf];B[ch];W[qd];B[ci];W[sf];B[al];W[qg];B[bk];W[an];B[al];W[oc]
;B[bl];W[kd];B[ak];W[md];B[bk];W[am];B[ak];W[sg];B[nq];W[oq];B[bk];W[nf]
;B[al];W[bl];B[ak];W[nh];B[qr];W[op];B[bk];W[km];B[al];W[kl];B[qs];W[ss]
;B[sq];W[kk];B[sp];W[pg];B[sr];W[ga];B[ea];W[pk]
C[B+2])))
(;W[mg]))
(;B[rj];W[qi];B[pm];W[nm];B[gf];W[ge]))
(;B[gf]))
(;W[oc])
(;W[rg])
(;W[ee])))
(;W[mg];B[nc];W[oc];B[md]
C[Both White blocking at P18, and playing at S14, so stopping Black getting an eye at right, are Sente.  The block at P18 is bigger.  However, if White does not block, and is then very stubborn, she will lose all of her stones in the Upper Right Corner. ]
(;W[ob]
(;B[qf];W[rf];B[qg])
(;B[rg];W[rf];B[rj];W[qi];B[pm];W[nm];B[gf]))
(;W[rf];B[qd];W[rd];B[ob];W[oa];B[pb];W[pa];B[qb];W[sa];B[sc];W[sd];B[rc]
;W[sb];B[rc];W[sc];B[sf]
C[This final black move is not even necessary.  Without it, both Black and WHite have only one eye, but Black has many external liberties, and will easily win the fight.]
)))
(;W[mg];B[mc];W[ob]
(;B[qf];W[rf];B[qg])
(;B[rg];W[rf];B[rj];W[qi];B[pm];W[nm];B[gf])))
(;W[ob];B[pc];W[pb]
(;B[rg];W[rf];B[rj];W[qi];B[pm];W[nm];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[fb];B[eb];W[gb];B[gc];W[ec]
;B[fa];W[ha];B[dc];W[gj];B[fi];W[fr];B[er];W[fs];B[es];W[gs];B[gd];W[hd]
;B[ed];W[gq];B[fp];W[la];B[ka];W[ma];B[kb];W[mg];B[af];W[ne];B[nf];W[mc]
;B[dj];W[ja];B[eg];W[kd];B[dm];W[kc];B[br];W[oc];B[bq];W[qd];B[cf];W[bm]
;B[al];W[lf];B[ch];W[sf];B[ci];W[kn];B[as];W[lo];B[bk];W[an];B[al];W[li]
;B[bl];W[mh];B[ak];W[nh];B[bk];W[am];B[ak];W[nq];B[mq];W[oq];B[qr];W[nq]
;B[qs];W[ss];B[sq];W[lq];B[sp];W[md];B[sr];W[qg];B[pk];W[sg];B[sj];W[mq]
;B[fk];W[gk];B[fl];W[gl];B[fm];W[gm];B[ea];W[ga];B[gn];W[qf];B[go];W[pg]
;B[gp];W[kk];B[gh];W[kl];B[gi];W[km];B[op];W[or])
(;B[mc];W[nc];B[ma];W[na];B[nb]
(;W[oa];B[rg];W[rf];B[gf])
(;W[oc];B[oa];W[mg]
(;B[qf])
(;B[rg];W[rf];B[rj];W[qi];B[pm];W[nm];B[gf]))))
(;W[mc];B[pc]
(;W[pb];B[oc];W[ob];B[nc]
(;W[nb]
(;B[md])
(;B[rg];W[rf];B[md];W[mg];B[rj];W[qi];B[pm];W[nm];B[gf];W[ge];B[fg];W[ef]
;B[fh];W[hs]))
(;W[md];B[nb];W[na];B[ne];W[ma];B[oa]))
(;W[la];B[pb];W[qb];B[ka]
(;W[ma];B[gf];W[ge];B[fg];W[ef];B[fh];W[hs];B[rj];W[qi];B[pm];W[nm];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[fb];B[eb];W[gb];B[gc];W[ec];B[fa];W[ha];B[dc];W[gj];B[fi];W[fr];B[er]
;W[fs];B[es];W[gs];B[gd];W[hd];B[ed];W[gq];B[fp]
(;W[rg];B[ob];W[kb];B[dm];W[cl];B[ak];W[aj];B[bl];W[ao];B[am];W[mg];B[af]
;W[qg];B[dj];W[sg];B[eg];W[pg];B[cf];W[bm];B[br];W[lf];B[bq];W[kc];B[as]
;W[ne];B[nf];W[pa]
(;B[ch];W[oa];B[ci];W[nb];B[al];W[md];B[bk];W[an];B[al];W[oc];B[bl];W[kn]
;B[ak];W[lo];B[bk];W[am];B[ak]
(;W[nq];B[mq];W[oq];B[qr];W[nq];B[qs];W[ss];B[sq];W[lq];B[sp];W[qd];B[sr]
;W[li];B[mh])
(;W[li];B[nq];W[oq];B[bk];W[mh];B[al];W[bl];B[ak];W[qd];B[bk]))
(;B[nb];W[na];B[ch];W[oa];B[ci];W[qd];B[al];W[kn];B[bk];W[an];B[al];W[lo]
;B[bl];W[li]
(;B[ak];W[mh];B[bk];W[am];B[al])
(;B[mh];W[lh];B[ak];W[md];B[bk];W[am];B[al]
(;W[nq];B[mq];W[oq];B[qr];W[nq];B[qs];W[ss];B[sq];W[lq];B[sr];W[kk];B[sp]
;W[kl];B[pk];W[nh];B[sj])
(;W[kd];B[nq];W[oq];B[bl];W[nh];B[ak];W[bk];B[al];W[kk];B[bl];W[kl];B[qr]
;W[km];B[qs];W[ss];B[sq];W[nc];B[sp];W[oc];B[sr];W[ga];B[ea]))))
(;W[kb]))
(;W[pa])))
(;W[mg];B[ob];W[pc];B[oc]
(;W[pb];B[nb]
(;W[na];B[oa])
(;W[oa];B[mc]))
(;W[nb];B[nc];W[oa];B[mc];W[pa]
(;B[qf];W[rf];B[qg])
(;B[rg];W[rf];B[la];W[na];B[rj];W[qi];B[pm];W[nm];B[gf]))))
(;B[nb];W[mc]
C[Black's best move is to push with Q16 -- he will then win by only one point.  If, instead, he connects underneath with N19, then White will be able to win (by a single point)!]
(;B[pd];W[la];B[pc];W[pb];B[oc];W[kb];B[rg];W[rf];B[pm]
C[These 2 forcing exchanges could probably be played later, but this seems like a sensible time for Black. This is discussed fir move 71?? in Our Solution (main line).]
;W[nm];B[rj];W[qi];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[mg];B[af]
;W[ob];B[cf];W[nc];B[eg];W[cl];B[ak];W[aj];B[bl];W[ao];B[am];W[na];B[dj]
;W[kn];B[br];W[bm];B[dm];W[lo];B[bq];W[ne];B[nf];W[li];B[as];W[kc];B[ch]
;W[lf];B[ci];W[mh];B[al];W[qd];B[bk];W[an];B[al];W[sf];B[bl];W[qg];B[ak]
;W[kd];B[bk];W[am];B[al];W[fb];B[eb];W[gb];B[gc];W[ec];B[fa];W[ha];B[dc]
;W[gj];B[fi];W[fr];B[er];W[fs];B[es];W[gs];B[gd];W[hd];B[ed];W[gq];B[fp]
C[Whjite captures the Tail with O3, and Black wins by just one point.  If White attacks the black group at Top Right directly (with T13, say), then Black will win by 2 points.  In our Solution White's choice is reversed because she captures more black stones at Top Right.]
(;W[nq];B[mq];W[oq];B[qr];W[nq];B[qs];W[ss];B[sq];W[lq];B[sp];W[mq];B[sr]
;W[ga];B[ea];W[qf];B[sj];W[nh];B[pk]
C[B+1])
(;W[sg];B[nq];W[oq];B[bl];W[md];B[ak];W[bk];B[al];W[nh];B[qr];W[op];B[bl]
;W[kk];B[ak];W[kl];B[qs];W[ss];B[sq];W[km];B[sp];W[pg];B[sr];W[ga];B[ea]
C[B+3]))
(;B[ma];W[pd];B[rg];W[rf]
C[The next 2 forcing exchanges are probably best played now.];B[pm];W[nm]
;B[rj];W[qi];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[fb];B[eb];W[gb]
;B[gc];W[ec];B[fa];W[ha];B[dc];W[gj];B[fi];W[fr];B[er];W[fs];B[es];W[gs]
;B[gd];W[hd];B[ed];W[gq];B[fp];W[mg];B[af];W[nc];B[cf];W[ob];B[eg];W[cl]
;B[ak];W[aj];B[bl];W[ao];B[am];W[na];B[la];W[kb];B[dj];W[kn];B[br];W[lo]
;B[dm];W[li];B[bq];W[bm];B[as];W[ne];B[nf];W[kc];B[ch];W[ka];B[ci];W[mh]
;B[al];W[lf];B[bk];W[an];B[al];W[sf];B[bl];W[qg];B[ak];W[kd];B[bk];W[am]
;B[al];W[nq];B[mq];W[oq];B[qr];W[nq];B[qs];W[ss];B[sq];W[lq];B[sp];W[ga]
;B[ea];W[qf];B[sr];W[mq];B[sj];W[md];B[pk]
C[W+1])))
(;W[gf];B[he];W[ge];B[id]
(;W[hd];B[je];W[kf];B[nq];W[oq];B[qr];W[ic];B[qs];W[ss];B[sq];W[ie];B[sp]
;W[op];B[sr])
(;W[je];B[hd];W[gd];B[ic];W[gc];B[jc];W[kc];B[kb])))
(;B[he]
(;W[hd];B[hf];W[ge];B[gf];W[gd];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[rg];B[pd];W[pc];B[mc];W[nb];B[la];W[fb];B[eb];W[fd];B[ed];W[gb];B[fa]
;W[ga];B[ea];W[gj];B[fi];W[fr];B[er];W[fs];B[es];W[gs];B[gq];W[mg])
(;W[gb]))
(;B[gb];W[cm];B[pd];W[pc];B[nb];W[mc];B[ma];W[ob];B[mg];W[rg];B[qf];W[qg]
;B[pg];W[rf];B[kf];W[lf];B[kd];W[kb]
(;B[ne];W[nc];B[ka];W[ja];B[la];W[fd];B[ee];W[ed]
(;B[dc]
(;W[an];B[dd];W[pf]
(;B[ic];W[jc];B[qf];W[lh];B[mh];W[pf];B[bi];W[ai];B[qf];W[na];B[ec];W[pf]
;B[bh];W[ag];B[qf]
(;W[qi];B[ha];W[pf];B[gc];W[id];B[qf];W[qd];B[lo];W[pf];B[pm];W[nm];B[qf]
;W[sg];B[kn];W[pf];B[km];W[qf];B[nq];W[oq];B[kl];W[nh];B[kk]TR[kk];W[je]
;B[li];W[kf];B[ia];W[md])
(;W[rj];B[ha];W[pf];B[gc];W[id];B[qf];W[sj];B[qi];W[pf];B[lo];W[qf];B[kn]
;W[qd];B[km];W[sg];B[nq];W[oq];B[kl];W[nh];B[kk];W[je];B[li];W[kf];B[ia]
;W[md]))
(;B[rj];W[qi];B[qf];W[ai];B[ec];W[pf];B[ic];W[jc];B[qf];W[lh];B[mh];W[pf]
;B[gc];W[id];B[qf];W[na];B[ha];W[pf];B[pm];W[nm];B[qf];W[qd];B[lo];W[pf]
;B[kn];W[qf];B[nq];W[oq];B[km];W[sg];B[kl];W[nh];B[kk];W[je];B[li];W[kf]
;B[ia];W[md])
(;B[jc];W[kc];B[ic];W[id];B[qf];W[ai];B[ha];W[pf];B[lh];W[li];B[qf];W[qi]
;B[mh];W[pf];B[pm];W[nm];B[qf];W[na];B[ia];W[pf];B[ic];W[jc];B[qf];W[qd]
;B[ec];W[pf];B[lo];W[qf];B[nq];W[oq];B[kn];W[sg];B[km];W[md];B[kl];W[nh]
)
(;B[bi];W[ai];B[qf];W[lh];B[mh];W[pf];B[bh];W[ag];B[qf];W[na];B[ec];W[pf]
;B[ic];W[jc];B[qf];W[qi];B[ha];W[pf];B[gc];W[id];B[qf];W[qd];B[lo];W[pf]
;B[pm];W[nm];B[qf];W[sg];B[kn];W[pf];B[km];W[qf];B[nq];W[oq];B[kl];W[nh]
;B[kk];W[je];B[li];W[kf];B[ia];W[md]))
(;W[pf];B[an];W[bo];B[qf];W[lh];B[mh];W[pf];B[ao];W[aq];B[qf];W[na];B[dd]
;W[pf];B[bi];W[ai];B[qf];W[qi];B[ha];W[pf];B[ag];W[af];B[qf];W[qd];B[ec]
;W[pf];B[ic];W[jc];B[qf];W[sg];B[lo];W[pf];B[bh];W[ag];B[qf];W[nh];B[ia]
;W[pf];B[cl];W[dm];B[qf];W[je];B[kn];W[pf];B[dj];W[ck];B[qf];W[kf];B[km]
;W[pf];B[pm];W[nm];B[qf])
(;W[lh];B[dd]TR[of];W[pf]
(;B[rj])
(;B[jc])
(;B[bi])))
(;B[ec];W[dc]
(;B[db];W[cb];B[dd];W[cc]
(;B[fa];W[ca];B[eb];W[ae])
(;B[ca];W[eb];B[ea];W[da];B[rj];W[qi];B[db];W[be];B[ae];W[da];B[pm];W[nm]
;B[db];W[cf];B[be];W[da];B[bi];W[bc];B[db];W[af];B[ag];W[da];B[bh];W[af]
;B[nq];W[oq];B[ag];W[ac];B[ai];W[ad]))
(;B[dd];W[eb];B[fb];W[db];B[cc];W[lh];B[mh];W[na];B[ha];W[jc];B[an];W[bo]
;B[ao];W[aq];B[bi];W[ai];B[cb];W[rj];B[lo];W[sj];B[qi];W[qd];B[kn];W[nh]
;B[ia];W[sg];B[km];W[je];B[da];W[kf];B[kl];W[pf];B[nq];W[oq];B[qf];W[ag]
;B[kk];W[pf];B[pm];W[pk];B[qf]
(;W[op];B[li];W[qr];B[kc];W[qs])
(;W[md];B[id];W[pf];B[gc];W[ic];B[qf];W[fa];B[ea];W[pf];B[oa];W[pa];B[qf]
;W[dm];B[kc];W[pf];B[nf];W[ng];B[dj];W[qf];B[ck];W[op];B[bh];W[qr];B[af]
;W[ss];B[cf];W[qs];B[ch];W[or]))))
(;B[ka];W[ja];B[la];W[fd];B[ee];W[ed];B[dc];W[lh];B[ne];W[mh]
(;B[nh];W[nc];B[dd];W[jc];B[ha];W[na];B[ec];W[qi];B[gc];W[qd];B[an];W[bo]
;B[ao];W[aq];B[bi];W[ai];B[lo];W[sg];B[kn];W[ag];B[ia];W[pf];B[id];W[ic]
;B[qf];W[md];B[nq];W[oq];B[km];W[pf];B[pm];W[nm];B[qf];W[je];B[kl];W[pf]
;B[oa];W[pa];B[qf];W[kf];B[kk];W[pf];B[li];W[qf])
(;B[nc];W[oc];B[md];W[nh];B[dd];W[jc];B[ha];W[oa];B[ec];W[na];B[gc];W[qi]
;B[lo];W[qd];B[kn];W[sg];B[an];W[bo];B[ao];W[aq];B[bi];W[ai];B[ia];W[ag]
;B[km];W[pf];B[pm];W[nm];B[qf];W[mb];B[nq];W[oq];B[kl];W[mc];B[kk];W[kc]
)))
(;B[bi];W[ee];B[fd];W[ed];B[ec];W[dc];B[dd];W[db];B[eb];W[gc];B[gb];W[ea]
;B[fb];W[ha]))
(;W[hf];B[id];W[je];B[hd];W[ic];B[kc];W[jc];B[gb];W[rg];B[pd];W[pc];B[nb]
;W[mc];B[ma];W[ob];B[mg];W[cm];B[an];W[bo];B[ao];W[aq];B[br];W[ai];B[bq]
;W[bk];B[as];W[ee];B[fd];W[ed];B[ec];W[dd];B[cc];W[dc];B[db];W[ef];B[bb]
;W[qg];B[kf];W[lf];B[ne];W[nc];B[na];W[ka];B[la];W[rj];B[ia];W[sj];B[qi]
;W[oa];B[ha];W[qd];B[ja];W[kb];B[kd];W[sg];B[gc];W[kf];B[mh];W[pg];B[lo]
;W[oc];B[lh];W[nf]
(;B[nq];W[oq];B[li];W[op];B[kk];W[qr];B[kl];W[ss];B[km];W[qs];B[kn])
(;B[ls];W[md];B[ks];W[qr]
(;B[nq];W[oq];B[li];W[op];B[kk];W[ss];B[kl];W[qs];B[km];W[or])
(;B[li];W[nq];B[mq];W[kk];B[qs];W[ss];B[sq];W[kl];B[sp];W[km];B[sr];W[kn]
;B[pm];W[nh])
(;B[gs]
(;W[li];B[nq];W[oq];B[kk];W[op];B[kl];W[ss];B[km];W[qs];B[kn])
(;W[nq];B[mq];W[li];B[qs];W[ss];B[sq];W[kk];B[sp];W[kl];B[sr];W[km];B[pm]
;W[kn];B[nm]))))))
(;W[if];B[hh];W[gh];B[nq];W[oq];B[qr];W[op];B[qs];W[ss];B[sq];W[ih];B[or]
;W[oq];B[hh]))
(;B[kh];W[lh];B[jh];W[li];B[jg];W[jf];B[ig];W[hh];B[if];W[ie];B[hf];W[he]
))
(;W[jh];B[kj]MA[jj][jk][jl][jm][jn][jo][jp][kp][lp][mp][mo]
C[White is cut off.  To live, she must capture the Hanezeki's Tail, so losing the game]
))
(;W[ji];B[ih];W[ig];B[nq];W[oq];B[qr];W[jh];B[qs];W[ss];B[sq];W[hh];B[sp]
;W[op];B[sr]TR[pe]))
(;W[im];B[hn];W[gn];B[go];W[gm];B[hs];W[is];B[ks]))
(;B[hn];W[in];B[gn];W[hs]
C[White lives, and Black's large Top Right group therefore dies.]))
(;W[hn];B[nq];W[oq];B[qr];W[ho];B[qs];W[ss];B[sq];W[in];B[sp];W[op];B[sr]
))
(;B[ho];W[io]
(;B[hs];W[go];B[hn];W[gn])
(;B[hn];W[hs]
C[White's Lower Edge group is alive.  The Hanezeki is a real Seki, as is the Seki on the Right Edge.  Black's Top Right group dies.]
MA[ip][iq][jq][kq][lq][mq][nq][oq][pq][qq][rq][sq][sr][rr][qr][pr][or][nr][ns][os][ps][qs][rs][ss][np][op][pp][qp][sp][rp][no][oo][po][qo][ro][so][sn][rn][sm][sl][rl]
)))
(;B[jo];W[ip];B[io];W[ho];B[in];W[hn];B[im];W[hl];B[ik];W[hk];B[ij];W[hj]
;B[ii];W[jg]
C[The Hanezeki at Lower Right is a proper Seki, as is the Seki on the Right Edge.  Black's large Top Right group cannot escape, and will die.]
MA[iq][jq][kq][lq][mq][nq][oq][op][no][np][nr][ns][os][ps][pr][pq][pp][po][oo][qq][rl][sl][sm][sn][so][rn][ro][qo][qp][rp][sp][rq][qr][qs][rr][rs][sr][ss]
))
(;W[ip]))
(;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[pd];W[pc];B[nb];W[mc];B[ma];W[ob];B[rg];W[rf];B[gf];W[ge]
;B[fg];W[ef];B[fh];W[gr]))
(;W[iq]
(;B[nq]
(;W[oq];B[jr];W[js];B[ks])
(;W[jr];B[oq]))
(;B[jr];W[js];B[ks];W[nq];B[mq];W[oq];B[qr];W[nq];B[qs];W[ss];B[sq];W[lq]
;B[sp];W[op];B[sr])))
(;W[lq]
(;B[lr];W[nq];B[mq];W[nq];B[oq])
(;B[nq];W[lr];B[oq])))
(;B[nq];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[im];B[hn];W[gn];B[go];W[gm]
;B[hs];W[op];B[is];W[qr];B[js];W[ss];B[sq];W[qs]))
(;B[mq];W[sr]))
(;W[sr];B[rs];W[oq];B[mq];W[lr];B[lq];W[kr];B[qs];W[kq];B[sq];W[nq];B[mq]
;W[oq];B[bi];W[nq];B[ss];W[lq];B[qr])
(;W[oq];B[mq];W[lr];B[lq];W[kr];B[rs]
(;W[kq])
(;W[sr];B[sq];W[kq];B[qs];W[nq];B[mq];W[oq];B[ss];W[nq];B[qr])))
(;B[rs];W[np]
(;B[sr];W[ss];B[sr];W[oq];B[sq];W[nq];B[qs])
(;B[oq];W[sr];B[jo];W[ip];B[jp];W[jq];B[mq];W[lr])))
(;B[nl];W[ol];B[mk];W[np];B[rs];W[rj];B[sr];W[ss];B[sr];W[sj];B[qr];W[pk]
))
(;B[ol];W[nl]
C[If Black at O7, then White captures and we have simply changed the order of moves.
]
(;B[nm];W[om]
C[We have reverted to the Main Line])
(;B[mj]
C[White connecting at the lower cutting point of O7, allows Black to attack the centre White stones 50 moves later, and kill them all! 
If White connects the upper cutting point of O9, then Black will win by 2 points.  This is one point worse for Black than in Our Solution, so Black should have sacxrificed a stone with O7, rather than playing N10 just now.  WIth his move before last, he could have simply cut at O7, and not played the P8 / O8 exchange.
HF ???
{*} There is also an interesting variation of Joachim's Ko Semeai, that starts with O9.
]
(;W[nk];B[np];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[pd];W[pc];B[nb];W[mc];B[ma];W[ob]
C[[*} Black at S13 is correct, but playing at G14 leads to an interesting variant of Joachim's Ko Semeai]
(;B[rg];W[rf];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[fb];B[eb];W[gb]
;B[gc];W[ec];B[fa];W[ha];B[dc];W[gj];B[fi];W[fr];B[er];W[fs];B[es];W[gs]
;B[gd];W[hd];B[ed];W[gq];B[fp];W[cl];B[ak];W[aj];B[bl];W[ao];B[am];W[mg]
;B[af];W[ka];B[la];W[nc];B[na];W[oa];B[dj];W[kb];B[eg];W[kc];B[dm];W[ne]
;B[nf];W[lf];B[br];W[kn];B[bq];W[lo];B[cf];W[qd];B[ch];W[bm];B[ci];W[li]
;B[as];W[mh];B[al];W[sf];B[bk];W[an];B[al];W[kd];B[bl];W[oc];B[ak];W[md]
;B[bk];W[am];B[ak]
(;W[om];B[nq];W[oq];B[rj];W[qi];B[bk];W[pk];B[mk];W[qg];B[al];W[bl];B[ak]
;W[sg];B[bk];W[nh];B[qr];W[kk];B[qs];W[ss];B[sq];W[kl];B[sp];W[km];B[sr]
TR[sr];W[pg];B[ea];W[ga]
C[B+2 because no sacrifice at O7 with move 17])
(;W[nq];B[mq];W[oq];B[qr];W[nq];B[qs];W[ss];B[sq];W[lq];B[sp];W[nm];B[rj]
;W[qi];B[sr];W[qg];B[sj];W[sg];B[pk];W[kk];B[pm];W[kl];B[om];W[km];B[mk]
;W[ga];B[ea];W[mq];B[pg];W[qf];B[fl];W[gl];B[fk];W[gk];B[fm];W[gm]))
(;B[gf];W[ge];B[fg];W[ef];B[fh];W[hs]
C[[*} Black at G18 is not good, but leads to an interesting variation.]
(;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])
(;B[gb];W[cm];B[mg];W[rg];B[qf];W[qg];B[pg];W[rf];B[kf];W[lf];B[gd];W[hd]
;B[kd];W[ee];B[fd];W[ed];B[dc];W[kb];B[ka];W[ja];B[la]
C[NO 3 KO!!!!!!!!!!!!!!!!!!!!];W[lh];B[ic];W[jc];B[ne];W[nc];B[mh];W[na]
;B[ha];W[om]
C[This gains a move for White.];B[an];W[bo];B[ao];W[aq];B[bi];W[ai];B[lo]
;W[rj];B[qi];W[pk];B[mk];W[qd];B[kn];W[sg];B[km];W[je];B[gc];W[md];B[ia]
;W[nh];B[nq];W[oq];B[kl];W[pf];B[oa];W[pa];B[qf];W[kf];B[kk];W[pf];B[pm]
;W[sj];B[qf];W[ec];B[eb];W[pf];B[nf];W[qf];B[li];W[ng])
(;B[bi])))
(;B[gf]))
(;B[he];W[hd];B[hf];W[ge];B[gf];W[gd];B[fg];W[ef];B[fh];W[hs];B[gb];W[cm]
;B[mg];W[rg];B[qf];W[qg];B[pg];W[rf];B[kd];W[kb];B[ka];W[fd];B[ee];W[ed]
;B[dc]
(;W[an];B[dd];W[pf];B[kf];W[lf];B[qf];W[lh];B[mh];W[pf];B[pd];W[pc];B[qf]
;W[jc];B[ha];W[pf];B[nb];W[mc];B[qf];W[om];B[ec];W[pf];B[ma]
C[Surely W could have played here to reduce a liberty, and to remove ko-threats!
]
;W[ob];B[qf];W[ja];B[la];W[pf];B[ne];W[nc];B[qf];W[rj];B[qi];W[pf];B[id]
;W[ic];B[qf];W[sj];B[mk];W[pf];B[bi];W[ai];B[qf];W[na];B[lo];W[pf];B[bh]
;W[ag];B[qf];W[qd];B[kn];W[pf];B[km];W[qf];B[nq];W[oq];B[kl];W[sg];B[kk]
;W[je];B[li];W[kf];B[ia];W[md];B[gc];W[nh])
(;W[pf])))
(;W[nm];B[np];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[gb];W[cm];B[pd];W[pc];B[nb];W[mc];B[ma];W[ob];B[mg];W[rg];B[qf];W[qg]
;B[pg];W[rf];B[kf];W[lf];B[gd];W[hd];B[kd];W[kb];B[ne];W[nc];B[ka];W[ee]
;B[fd];W[ed];B[dc];W[ja];B[la];W[lh];B[ic];W[jc];B[mh];W[na];B[ha]
(;W[qi];B[lo];W[qd];B[kn];W[sg];B[km];W[je];B[gc];W[kf];B[ia];W[mk];B[nq]
;W[oq];B[kl];W[ec];B[eb];W[pf];B[kk];W[md];B[li];W[nh];B[qf];W[fb];B[fa]
;W[pf];B[nf];W[ng];B[qf]
C[WHite hass no adequate Ko Threat.])
(;W[rj];B[lo];W[sj];B[mk];W[nk];B[kn];W[pk];B[qi];W[qd];B[km];W[je];B[gc]
;W[pf];B[kl];W[ec];B[eb];W[sg];B[nq];W[oq];B[kk];W[md];B[li];W[kf];B[ia]
;W[nh];B[qf];W[fb];B[fa];W[pf];B[nf];W[ng];B[qf]))
(;B[ee])))))
(;W[ln];B[mo];W[pn];B[qn];W[rp];B[ol];W[nl];B[mj];W[nk];B[lo];W[kn];B[jo]
;W[ip];B[rs]
(;W[np];B[qr];W[sr];B[qs];W[jp];B[ss];W[io];B[sq])
(;W[sr];B[np];W[oq];B[nq];W[oq]
(;B[qs];W[mq];B[qr];W[io];B[ss];W[jp];B[sq])
(;B[io];W[ho];B[in];W[hn];B[im];W[hl];B[ik];W[hk];B[ij]
C[The White block at J11 would be a fatal mistake.  White H10 would save some white stones, but would still allow Black to kill all white stones in the Lower Right.]
(;W[hj];B[ii];W[ji];B[ih];W[hh];B[mq];W[lr];B[lq];W[kr];B[kq];W[jp];B[jq]
;W[jr];B[qs];W[ig];B[qr];W[jh];B[ss];W[iq];B[sq])
(;W[ii];B[hj];W[gj];B[gk];W[gi];B[mq];W[lr];B[jp];W[kq];B[jq];W[jr];B[iq]
;W[hq];B[gr];W[hr];B[ks]
C[Now the white group has only one eye.  In the Right Lower Corner, we now have 2 temporary Sekis.  White's Lower Edge group will be killed before Black's Top Right group can be.  All White's stones in the Lower Right will die, and all Black's stones at Right will live.  Disaster for White.]
)))))
(;W[nn];B[no];W[mm];B[lm];W[ml];B[ll];W[mo];B[ln];W[pn];B[qn];W[rp];B[nm]
C[Again, we get the same result as in Our Solution (the main line).  All that has changed is the move-order.]
)
(;W[nm]
C[Black at Q6 will connect all his stones, and Black will win comfortably. If Black plays at P8, White will create 2 temporary Sekis.  However, Black's Top Right group does not have 2 eyes, so eventually, all Black stones at Right will die. ]
(;B[pn]
C[White at either M8 or N7, will not work.  Black will connect all his important stones, winning comfortably.]
(;W[ll];B[ml];W[mm];B[lm];W[kl];B[nl];W[ol];B[om];W[pm];B[pd];W[om];B[ob]
C[Black's Top Right group lives.  White's stones in the Lower Right die, and Black's stones there live.  Although White will now have Sente to play at Left (C7, say), she cannot win. 
]
)
(;W[mm];B[lm];W[ln];B[ml];W[km];B[ll];W[nn];B[nl];W[ol];B[om];W[pm];B[no]
;W[mo];B[om]
C[White has no ko threat large enough.  ];W[ne];B[mn];W[nf];B[bi]))
(;B[ol];W[nl];B[mk];W[nk];B[no];W[pn];B[qn];W[rp];B[rs];W[sr];B[qr];W[om]
;B[qs];W[ll];B[ml];W[mm];B[lm];W[ln];B[kl];W[mo];B[nn];W[np];B[oq];W[nq]
;B[sq]
C[White has created 2 temporary Sekis.  However, Black's Top Right group does not have 2 eyes, so eventually, all Black stones at Right will die. 
]
)))
(;B[nl];W[qk];B[lm];W[cm]
C[Black has saved his group at Top Right by connecting it to his group at Lower Right.  White's groups at the Right are also alive.  When White takes Sente to play on the Left Side at C7, she is winning by more than 10 points.]
))
(;W[ml];B[ll];W[mm];B[lm];W[nn];B[no];W[mo];B[ln];W[rr];B[qk];W[pn];B[qn]
;W[rp];B[nm]
C[This variation started with White's move 2 at N8.  We are now at the same point that we reached when White played at S2, instead.  All that has changed is the move-order.]
))
(;B[ml]
C[White will save all of her stones in the Lower Right, and Black will connect his (x) stones to the upper black group.  White will use her Sente to play at C7.  After Black saves his (Triangle) stones, she will have Sente, and will probably then play G2 (with Sente), and F18 (also with Sente).  White will go on to win by at least 10 points.]
MA[pp][pq][qq][pr][ps][nr][ns][os];W[po];B[no];W[rr]
C[Black should save his sones in the lower Right with O4.  A black move at B11, is less profitable.  In any case, White will win.]
(;B[np]
C[Black saves his group.  White will use Sente to play at C7, at Left, and will later probably play at both G2, and F18, with Sente, so winning by more than 10 points.]
;W[cm];B[ol];W[qk];B[an];W[bo];B[ao];W[aq];B[br];W[ai];B[bq];W[bk];B[as]
;W[bl];B[ap];W[gr];B[fr];W[fb];B[eb];W[gb];B[ec])
(;B[bi]
C[This inferior to playing at O4.  White will now play there herself, and will end up with Sente, finally winning the game by more than 10 points.]
;W[np];B[ol];W[qk];B[nm]))
(;B[nl]TR[nj][oj][pj][qj][ri][si][ok]MA[pp][pq][qq][pr][ps][os][ns][nr][sp][sq]
C[Black will kill the marked (Triangle) white stones, but will lose his stones (X) in the Lower Right corner.  White will have Sente to play at C7, and will win the game by at least 10 points.]
;W[rr];B[qk];W[po];B[no];W[np];B[ol];W[cm]))

