(;GM[1]FF[4]CA[UTF-8]AP[CGoban:3]ST[2] RU[Japanese]SZ[19]KM[7.00] PW[kata1-b60c320-s6372316160-d2964581281]PB[kata1-b40c256-s10962542848-d2672348390]C[startTurnIdx=0,initTurnNum=0,gameHash=7392F4362F718A41A6D8A53EF90D021B,gtype=normal Theory of fights/centre? 20220809 Daniel Hu 6d As RJ says, the large majority of go "theory" is informal. But to try to get a more solid handle on what ideas appear and how to handle it, as usual, I start with AI games (close enough to perfect play, but far enough to have interesting variations). with kata1b60c320s637 game 749369 https://katagotraining.org/sgfplayer/rating-games/749369/ List of principles suggested standard or otherwise. Motto: Not general implies not useful. Repetitive implies boring. 3: Other than weak points of life and death, the values of territory making moves is highest when at the boundary between B and W control. nb. Normally the moves decrease in value in a position since you expect that the empty position is one at the boundary between B and W and further moves by one player have that diminishing return. However, multiple moves are required to live/kill, so it isn't so simple. nb2. I say this particularly because the beginner theory you hear of play on bigger areas with more space are often overruled in direction of play by the side of weak points. (e.g. the corners are biggest in opening). Try to build territory first where you have support. (before reducing/invading) Attack by pushing the opponent towards your strength or an empty region they already control (overconcentration). 4: Bias direction of play closer to supporting fights that may arise from competition over a weak point, but not too close if there are other weak points. 8: B prefers to threaten to create one large moyo initially. W can consider giving up local territory and eyespace in order to prevent this and allow W to dominate B's potential development areas, for example by playing 4-4, kick and jump. Compare Tian Ji's horse racing strategy (which applies particularly in a situation with diminishing returns for scale of victory and particularly if only 1pt for win and -1 for loss). Then W doesn't mind letting B get more in their own area as long as W's area is more secure. 9: If your opponent's weak points are disconnected but big, consider tenuki with a bias towards making eyespace to support attacking the weak points. 10: Ask for a flow. If there are big local weak points that you want to defend (concerning local life and death not just a vague big space), then push your opponent's weak groups towards such an area to get forcing moves that help defend. This delays your sente privileges until the opponent is close enough that you can play the double value move. Otherwise, consider if you are willing to just defend solidly and can build a moyo by working together. 13. Actively defend your weak points without spending a move by giving your opponent a weak point nearby. As a weak group tries to avoid spending a move to live, the value of the opponent's attacks often gradually tend towards two miai points. 15: If you start by attacking and your opponent doesn't defend, you must keep up the pressure or lose the advantage from removing their eyespace. Especially do not let the opponent make a large territory from their weak points. 26: Take eyespace and attack if you are worried about B controlling the centre too easily. Tighter pincers sacrifice strength of pincer for miai control of the original weak point with opponent's weak group. 27: If opp has weak points, you can be flexible and squeeze as much eyespace as possible from double threats before sacrificing or otherwise. Heavy commitment makes fighting later difficult. 28: Just as semeai compares liberties, the relative local strength of connection counts weak points. Theoretical points. Consider the weak points between two groups. If a weak point disappears after one defence, then the other side can expect to only get one forcing move on it (and perhaps only more if playing even closer to the weak point, perhaps if there is another weak point nearby). Consider whether to play closer to your weak point or your opponent's. Consider sacrificing a weak point if target from one side is bigger than the other since it is split shape to try to control both sides of a connected group. Looser moves are better if you expect to get more forcing moves from threatening the entire group. Otherwise, you may be better off just playing closer in direct sente or nothing (reducing). They say that a move that does one thing well is better than a move that tries to do multiple things, but for that you need to recognise what are the important weak points that are valuable to do well. If follow ups on a weak points are separated, then consider tenuki until you can use them to manufacture a double threat. If you can curl around, you may be able to connect the weak points together into a larger scale attack or influence. It is more likely that the defender of the weak points can mitigate much with one move by leaning on any moves that you play near to strengthen their group. But at the same time if there are so many separate weak points, such a move won't have secured the territory value of all weak points. If the defender is alive, then all weak points are approximate local and independent endgames as usual. ]RE[W+Resign] ;B[dp]C[0.52 0.48 0.00 0.3 v=600] ;W[dd]C[0.52 0.48 0.00 0.3 v=600] ;B[cf]C[0.52 0.48 0.00 0.3 v=609 Unusual, but not really making a difference as options of interchange arise from B having the initiative . The move follows enough principles to not lose anything. Other than weak points of life and death, the values of territory making moves is highest when at the boundary between B and W control. More moves by either side away from the boundary tend to be smaller unless the move intersection is "connected" to many other intersections by changing the status of a chain. i.e. saving/killing it. I call such moves weak points which normally occur in some order of value based on what they can get independently of the chain's status. Principle: Try to build territory first where you have support. This is normally more useful than reducing too early and committing to a heavy weak group that becomes a target and aji source. You first threaten to control a larger area. Compare the principle. Attack by pushing the opponent towards your strength In this case D4 cannot be considered strength as B may need to spend a move to get eyespace, whether or not W invades 3-3. And the left is wide enough to be worth developing. Compare B playing C6. AI tends to rate this as slightly less, and I haven't seen any games with it post AI. The last time I saw it played was probably by Gu Li. Such a move doesn't compete as strongly for the weak points at the boundary of baby moyos, but instead defends first. Consider mutual reduction theory. B would risk W getting the last big move of the opening like that, especially as there are an even number of corners.] ;W[pd]C[0.52 0.48 0.00 0.2 v=610 Supporting the fight in the upper left. often a good idea to play near enough that you threaten a moyo, but not too close as to let the opponent be satisfied from taking territory. Even if W defends the upper side, C17 is open, makes eyes for C14 and still gets into the upper side by C18 and the lack of eyespace of D16. Bias direction of play closer to supporting fights that may arise from competition over a weak point, but not too close if there are other weak points. In this case however, there are 2 key weak points C17 and F17, eyespace in the corner (fundamental), and eyespace on the side (for W primarily). So if you play too biased to prevent F17, you will be overconcentrated when B plays C17. If B plays F17, there will certainly be a fight that may spread towards the upper right, but if B plays C17, B will simply have settled and W has some local control but not enough for much territory.] ;B[pp]C[0.52 0.48 0.00 0.2 v=628] ;W[ce]C[0.52 0.48 0.00 0.2 v=783] ;B[df]C[0.52 0.48 0.00 0.3 v=636] ;W[fd]C[0.52 0.48 0.00 0.3 v=898 What is the difference between kick and the knight's move? Kick is often better for taking sente by threatening to get into the opponent's side. More commonly played by W to just get something by sacrificing control of the centre on the left. B's outside has plenty of aji of H17, E16, etc. so isn't so weak locally. However, W also has B12 sort of aji if W wants to live. This explains why B doesn't fall back to defend the left. B is unwilling to cut B12 with B14 or such a move as B prefers to directly live with C17 if B spends a move there at all, rather than trying to make territory where W has influence that cramps B's potential. Normally W playing on the left around C10 isn't good as B gets C6 in sente which helps B's lower side as well (like the reverse of why B wanted to play C14). Although kick prepares it, B still doesn't need to defend yet. I think kick and jump is tighter, putting more pressure on B to settle the shape (or else risk W getting good territory). It is playing on a larger scale than just trying to live locally. W considers to get into B's lower side via the centre by fighting with D14 rather than directly. This leaves local thinness so B has options and must use them or lose territory. Taking gote to settle D14 might not be the way to use it. The forcing moves of E16 give W a big corner and H17 isn't connected to D14. W blows the balloon larger for now, pushing B out of the way by getting the key local moves to maximise space for this group, hoping it won't pop later. Both know that C14 wasn't trying to make local territory but rather to probe W's weak points. This way W fixes "actively", leaving big follow ups, willing to add a move around J16 soon. By attacking D14, W would like to fix the corner, but a move at C11 which already takes away the side eyespace of D14, territory and much potential (due to attack) means that D14 can already be sacrificed so that B15 on the next move, while big isn't yet the key point. The key point for now is W's additional influence on B's potential by taking away B's eyeshape via C17 and F15 (ish) at the cost of B being able to live in the corner. It seems that B tends to prefer to create one large moyo whereas although W would also like this, W is also biased towards willingness to prevent B creating one large moyo. For example F16 gets value from cutting B's aji of C17, D14, H17 all from each other, even if W doesn't yet control any of them locally very well. How does B respond? For now, B doesn't commit to using any aji as this is W's area of influence. Later, B likely prefers H17 to reduce W's upper side until C17 is biggest if needing to sacrifice either (if W controls left and upper side too well). W's main cost here is probably that in order to increase control of the D16-F16 connection, W has lost control of the H17 area which would normally be under control by the small knight's move (i.e. even if B plays there, B can't easily get eyespace). Such an area is valuable as it is in W's side. However, as we have said, B would prefer to build rather than invade because B expects to be able to develop into the centre and having a weak group tends to mean you lose control of the centre. In terms of shape, the D16 is actually much more likely to live and not be sacrificed than in any other joseki locally. This is because it is connected and B doesn't have valuable threats that attach to it. i.e. C16 is no longer a move.] ;B[qc]C[0.52 0.48 0.00 0.3 v=1218 If your opponent's weak points are disconnected but big, consider tenuki with a bias towards making eyespace to support attacking the weak points. B has C17, D18, E18, H17, J17, E15, G15. But primarily C17, H17 are the severe ones that work best locally. Sometimes J17 is better to reduce the upper side more securely, but that is no longer local. When you are the "creator" (in the sense of RJ) of weak points. Namely the opponent has some big territory or otherwise life and death of a big group that you can threaten in order to get eyeshape and settle, but where you can't easily live there (though can easily get say 1 eye). Especially if you have another weak group nearby that will be weakened, that you don't want to defend, but you also don't want to sacrifice. That is to say, the opponent has weak points that are somewhat disconnected, so that it is difficult to immediately make them work together. Then playing for control of such an area is often very big. And yet tenuki is often a good idea, much like the many potential territory areas of a wall. Note that almost every move splits the board into at least 2 weak points, and hence the attacker has ko threats. The solid attacking move may be to defend the existing weak group, threatening to play at the other, but then the area may become lighter. For example, approaching a 4-4 isn't sente. The attacker's dream is to turn play on the weak points into a double threat, though this is unlikely to happen against a good defence. Best of all, other than magically cutting through and capturing to connect the weak points, the attacker should aim to get 2 moves in a row to join the weak points up on the outside or otherwise live on both sides. The proper way to ensure such is often to first indirectly make quick eyespace nearby (e.g. high approach on a 3-4 reduces a moyo all around). ] ;W[qd]C[0.52 0.48 0.00 0.2 v=1224 This seems slightly surprising for direction. It appears that W doesn't want to commit to building the top when B has influence via aji of H17, E15, G15 which means that such a wide open area might turn out to be fairly strong for B. Ask for a flow. If there are big local weak points that you want to defend (concerning local life and death not just a vague big space), then push your opponent's weak groups towards such an area to get forcing moves that help defend. This delays your sente privileges until the opponent is close enough that you can play the double value move. Otherwise, consider if you are willing to just defend solidly and can build a moyo by working together.] ;B[pc]C[0.52 0.48 0.00 0.2 v=1047] ;W[od]C[0.52 0.48 0.00 0.3 v=1393] ;B[nb]C[0.52 0.48 0.00 0.2 v=1540 Actively defend your weak points without spending a move by giving your opponent a weak point nearby. As a weak group tries to avoid spending a move to live, the value of the opponent's attacks often gradually tend towards two miai points. By pushing B towards where B had the H17 weak point, W doesn't try to make territory where B already had good control. And yet, if B isn't careful, S17 with P18 follow up can still get a large territory at the top. This is because B has a bigger weak point at P18, closer to W's weak point, which W is using to play of against each each other. At the moment due to the weak point, W has miai of corner and side in the upper left when trying to make eyes and both are valuable areas to reinforce when attacked. The side is also valuable as it helps reduce O18 and pressure S17. Perhaps it would normally be larger than the corner, but in this position, the corner is also very big as B would hope to get say N17 and attack both W groups if they don't have enough eyespace. This direction would be less good if W played the small knight's move at F17 because there was a good chance that W gets strong in the centre from attacking C14 (perhaps C12 and D14 say), and O18 reduces the potential of that too easily. But W is already happy that B is already cut into many groups. (Consider C17 like a quasi B group). B is happy that W's original side is reduced to very little, and W won't find it that easy to take the left and right. ] ;W[qn]C[0.52 0.48 0.00 0.2 v=1481 Attack on the left is no longer as great when O18 both reduces W's potential gain and threatens to counterattack F16. But like Tianji, W is willing to give B what they first invested in. In contrast, B wants to spread the initiative gain so as to gain an equal amount (k/361=7/361~0.02% extra at every intersection) all over the board. In this game, it means counterattacking W's area.] ;B[qj]C[0.52 0.48 0.00 0.3 v=713 If you start by attacking and your opponent doesn't defend, you must keep up the pressure or lose the advantage from removing their eyespace. Especially do not let the opponent make a large territory from their weak points. W moving into M16 is a dame like region as B still has H17 etc aji. There are no good joseki other than some pincer. Playing O3 leaves the corner too open, letting W play R4 which both gets eyespace and cuts B from W's other weak points. Such would increasing become a problem for B as B already is spread unusually thin on the board with too many groups. And W's main weak point of R16 is this area and W also has good potential territory here. Having a 4-4 often reduces the number of groups as much connects to its influence, but still dangerous.] ;W[qq]C[0.52 0.48 0.00 0.3 v=652] ;B[qp]C[0.53 0.47 0.00 0.5 v=653] ;W[pq]C[0.53 0.47 0.00 0.4 v=1060] ;B[op]C[0.53 0.47 0.00 0.5 v=1225] ;W[rp]C[0.53 0.47 0.00 0.4 v=1623] ;B[ro]C[0.53 0.47 0.00 0.5 v=1801] ;W[rq]C[0.53 0.47 0.00 0.4 v=2174] ;B[rn]C[0.53 0.47 0.00 0.4 v=2381] ;W[nq]C[0.53 0.47 0.00 0.3 v=2426] ;B[qm]C[0.53 0.47 0.00 0.4 v=2502 locally B's shape has not bad efficiency, though somewhat competing for no mans land with P16. W is hardly that weak when F16 is around. There aren't many weak points left, mostly Q9 and Q7, but such moves don't have good eyespace of their own, too close to B thickness. R12 is a move for R16, but doesn't reach well to Q7. The Q11 in the game makes sense to aim for. ] ;W[ci]C[0.53 0.47 0.00 0.3 v=3008 Take eyespace and attack if you are worried about B controlling the centre too easily. This is like R17. As the O9 area is B development potential, and W has some aji there, it is quite valuable to compete for it. But it is interesting that since such moves lack eyespace, W gets eyespace on the left side first. This is because the side is more intrinsically valuable so that if B defended at D10, then W would be under more pressure to invade and thereby give B the centre wall with direction to control O9. The point is that once you have eyespace, since it is secure enough to win local fights, your influence is actually further than you might thin. So C11 also helps control E11. But as D14 is weak, this means that W also gains influence from attacking it, perhaps around G11 also as in the game. This puts B under pressure to prevent such by leaning on weak points around E15, helping W's upper left corner too. This is the cost of large weak groups, especially when they connect to valuable potential. C10 is the normal pincers. Tighter pincers sacrifice strength of pincer for miai control of the original weak point with opponent's weak group.] ;B[cm]C[0.53 0.47 0.00 0.4 v=1157 Normal. Eyespace matters a lot, and there is still space on the lower side and centre that this helps out. If opp has weak points, you can be flexible and squeeze as much eyespace as possible from double threats before sacrificing or otherwise. Heavy commitment makes fighting later difficult. These are two sides of the same coin. In this case, B has F15 (for E16) or G15 etc for strength in centre, even if costly. As there is a fight with C11, W can't discount the possibility. And after the potential fight ends, B might play C17 or H17 to sacrifice and W finds B's control of the G14 region was a double threat mirage and W still lost out on the top too. This is the trouble with C15, why it is less common especially for B, and why committing to the corner region creates trouble for W later when W wants to fight. ] ;W[ei]C[0.52 0.48 0.00 0.3 v=1038 Just as semeai compares liberties, the relative local strength of connection counts weak points. This is difficult to evaluate. Jump is still big as if B gets here, then by leaning on C11, B can mostly connect up to D14, which disconnects W's attacks with G11 and so on. ] ;B[pg]C[0.52 0.48 0.00 0.3 v=952 Sometimes attacking is the way to get centre strength. Like C11.] ;W[pi]C[0.52 0.48 0.00 0.3 v=850 Hard to think of. Principles: just before territory, when defending first think of opp's weak points. Make double threat with O17 and S15 sente.] ;B[ng]C[0.52 0.48 0.00 0.3 v=671] ;W[rc]C[0.52 0.48 0.00 0.2 v=634] ;B[rb]C[0.51 0.49 0.00 0.2 v=689] ;W[nc]C[0.52 0.48 0.00 0.2 v=829] ;B[rd]C[0.51 0.49 0.00 0.2 v=863] ;W[re]C[0.52 0.48 0.00 0.2 v=878] ;B[sc]C[0.51 0.49 0.00 0.1 v=1248] ;W[mb]C[0.52 0.48 0.00 0.2 v=1465] ;B[fg]C[0.51 0.49 0.00 0.2 v=1680] ;W[gi]C[0.51 0.49 0.00 0.1 v=830] ;B[hh]C[0.52 0.48 0.00 0.2 v=764 compete for centre key points especially as D14 is comparatively light compared due to H17 aji which also attacks N18. E11 tries to make D14 heavier and more capturable. F13 tries to not need another move to escape and hence doesn't lean on the upper side.] ;W[id]C[0.52 0.48 0.00 0.2 v=808] ;B[he]C[0.51 0.49 0.00 0.2 v=872] ;W[ie]C[0.51 0.49 0.00 0.0 v=756 unusual but M17 is big and H14 too.] ;B[hi]C[0.50 0.50 0.00 -0.0 v=785] ;W[hf]C[0.51 0.49 0.00 0.1 v=799] ;B[gj]C[0.49 0.51 0.00 -0.2 v=715 this gives F12 and G12 in semi sente.] ;W[ff]C[0.49 0.51 0.00 -0.2 v=801 if this wasn't good, then H14 probably wasn't. This highlights the solidity of E11 and the influence of side eyespace.] ;B[ef]C[0.48 0.52 0.00 -0.5 v=762] ;W[gf]C[0.47 0.53 0.00 -0.5 v=717] ;B[gh]C[0.46 0.54 0.00 -0.7 v=975] ;W[fk]C[0.47 0.53 0.00 -0.6 v=924] ;B[dk]C[0.46 0.54 0.00 -0.8 v=809] ;W[fh]C[0.47 0.53 0.00 -0.7 v=661] ;B[dh]C[0.45 0.55 0.00 -0.9 v=671] ;W[di]C[0.45 0.55 0.00 -1.0 v=655] ;B[gg]C[0.45 0.55 0.00 -1.0 v=937] ;W[be]C[0.45 0.55 0.00 -1.0 v=1091 a very big territory since even H15 is dead.] ;B[lf]C[0.46 0.54 0.00 -0.8 v=1327] ;W[bg]C[0.44 0.56 0.00 -1.1 v=846] ;B[lc]C[0.47 0.53 0.00 -0.6 v=690] ;W[lb]C[0.46 0.54 0.00 -0.8 v=734 Difficult to fight when N17 (and then O16 and M18) are sente.] ;B[qf]C[0.47 0.53 0.00 -0.6 v=862] ;W[kc]C[0.45 0.55 0.00 -0.9 v=665] ;B[kd]C[0.46 0.54 0.00 -0.8 v=795] ;W[jd]C[0.45 0.55 0.00 -0.9 v=1033] ;B[fj]C[0.45 0.55 0.00 -0.9 v=1184] ;W[km]C[0.44 0.56 0.00 -1.1 v=935 as usual, consider that W's thickness of J15 means that W has influence around not just K13 but also K12 etc as it is difficult for B to disconnect. Of course W must be able to make two eyes independently (including with forcing moves on B's cut) to live. This comes true in the game.] ;B[lm]C[0.44 0.56 0.00 -1.0 v=613 When playing in the middle of a centre moyo, block in any direction is valuable. Opp has counter forcing moves, but it will be a fight and difficult to live when reducer is also cut. The defender has a sort of advantage and this is the way to prove it in a centre moyo. Here this tries to kill off the aji of Q7 which is fairly close to W already and has some more follow ups with P6, R5. In contrast although B has weak points around E9, W is strong there anyway, and can't yet cut through easily anyway, so it is a source of potential eyespace for W but not territory.] ;W[pj]C[0.44 0.56 0.00 -0.9 v=639] ;B[qk]C[0.45 0.55 0.00 -0.8 v=630] ;W[ln]C[0.45 0.55 0.00 -0.7 v=759] ;B[kl]C[0.46 0.54 0.00 -0.6 v=1040] ;W[jl]C[0.48 0.52 0.00 -0.3 v=716] ;B[kk]C[0.46 0.54 0.00 -0.6 v=831] ;W[mm]C[0.49 0.51 0.00 -0.2 v=621] ;B[ll]C[0.47 0.53 0.00 -0.4 v=790] ;W[mn]C[0.49 0.51 0.00 -0.2 v=1156] ;B[kn]C[0.48 0.52 0.00 -0.3 v=897] ;W[jm]C[0.50 0.50 0.00 -0.1 v=1339] ;B[ko]C[0.48 0.52 0.00 -0.4 v=1366] ;W[mp]C[0.50 0.50 0.00 -0.1 v=1577] ;B[io]C[0.48 0.52 0.00 -0.4 v=1533] ;W[en]C[0.50 0.50 0.00 -0.1 v=1999 shocking to me when I was looking at F3, N8.] ;B[co]C[0.49 0.51 0.00 -0.2 v=618] ;W[dl]C[0.52 0.48 0.00 0.3 v=861] ;B[cl]C[0.49 0.51 0.00 -0.1 v=791] ;W[ek]C[0.54 0.46 0.00 0.4 v=1125] ;B[ej]C[0.49 0.51 0.00 -0.2 v=778] ;W[gk]C[0.55 0.45 0.00 0.7 v=924] ;B[hk]C[0.52 0.48 0.00 0.3 v=960] ;W[hl]C[0.55 0.45 0.00 0.6 v=1376] ;B[fo]C[0.52 0.48 0.00 0.4 v=1491] ;W[ik]C[0.53 0.47 0.00 0.4 v=1565] ;B[hj]C[0.54 0.46 0.00 0.6 v=1264] ;W[jj]C[0.55 0.45 0.00 0.7 v=1368] ;B[ml]C[0.54 0.46 0.00 0.7 v=1802] ;W[jh]C[0.55 0.45 0.00 0.6 v=1515] ;B[dj]C[0.55 0.45 0.00 0.9 v=1309] ;W[li]C[0.56 0.44 0.00 0.7 v=1343 solid moves are necessary though W would like N11, but B is too solid with L11 sente. And this is big enough that it is worth it anyway, almost a double threat.] ;B[ni]C[0.56 0.44 0.00 0.9 v=901] ;W[nj]C[0.55 0.45 0.00 0.6 v=824] ;B[nl]C[0.57 0.43 0.00 1.0 v=825] ;W[mj]C[0.57 0.43 0.00 0.9 v=1081] ;B[ji]C[0.56 0.44 0.00 0.8 v=985] ;W[kj]C[0.55 0.45 0.00 0.5 v=600] ;B[ok]C[0.55 0.45 0.00 0.6 v=913] ;W[oj]C[0.58 0.42 0.00 0.9 v=1075] ;B[kh]C[0.55 0.45 0.00 0.7 v=729] ;W[gn]C[0.61 0.39 0.00 1.2 v=1094] ;B[go]C[0.57 0.43 0.00 0.7 v=618] ;W[hn]C[0.62 0.38 0.00 1.4 v=1041] ;B[lq]C[0.58 0.42 0.00 0.9 v=937] ;W[ho]C[0.61 0.39 0.00 1.2 v=1334] ;B[hp]C[0.58 0.42 0.00 1.1 v=1092] ;W[ip]C[0.63 0.37 0.00 1.4 v=1481] ;B[iq]C[0.60 0.40 0.00 1.0 v=861] ;W[eo]C[0.60 0.40 0.00 1.2 v=782] ;B[gp]C[0.54 0.46 0.00 0.1 v=762] ;W[ep]C[0.57 0.43 0.00 0.6 v=899] ;B[in]C[0.54 0.46 0.00 -0.2 v=946] ;W[fn]C[0.56 0.44 0.00 0.2 v=1196] ;B[im]C[0.55 0.45 0.00 -0.1 v=1362] ;W[il]C[0.55 0.45 0.00 -0.2 v=1561] ;B[gr]C[0.53 0.47 0.00 -0.7 v=1703] ;W[qi]C[0.51 0.49 0.00 -1.2 v=1455] ;B[rg]C[0.51 0.49 0.00 -1.6 v=855] ;W[pm]C[0.56 0.44 0.00 0.3 v=612] ;B[pk]C[0.55 0.45 0.00 -0.5 v=600] ;W[rj]C[0.56 0.44 0.00 0.3 v=693] ;B[on]C[0.57 0.43 0.00 0.5 v=819] ;W[eq]C[0.54 0.46 0.00 -0.1 v=900] ;B[dr]C[0.57 0.43 0.00 0.3 v=994] ;W[dq]C[0.51 0.49 0.00 -0.7 v=951] ;B[cq]C[0.56 0.44 0.00 0.2 v=883] ;W[mh]C[0.49 0.51 0.00 -1.0 v=1021] ;B[jg]C[0.52 0.48 0.00 -0.8 v=812] ;W[er]C[0.47 0.53 0.00 -1.5 v=801] ;B[cr]C[0.49 0.51 0.00 -1.3 v=862] ;W[jp]C[0.45 0.55 0.00 -2.1 v=913] ;B[kp]C[0.44 0.56 0.00 -2.9 v=600] ;W[jq]C[0.43 0.57 0.00 -2.4 v=706] ;B[ir]C[0.50 0.50 0.00 -1.4 v=1137] ;W[nh]C[0.43 0.57 0.00 -2.5 v=1243] ;B[dm]C[0.49 0.51 0.00 -1.6 v=1362] ;W[mq]C[0.51 0.49 0.00 -1.6 v=1088] ;B[mr]C[0.55 0.45 0.00 -2.5 v=637] ;W[nr]C[0.58 0.42 0.00 -0.7 v=1134] ;B[oh]C[0.50 0.50 0.00 -2.4 v=1162] ;W[oi]C[0.59 0.41 0.00 -0.7 v=1013] ;B[rh]C[0.48 0.52 0.00 -1.6 v=1309] ;W[em]C[0.58 0.42 0.00 -0.5 v=667] ;B[lr]C[0.46 0.54 0.00 -1.5 v=1557] ;W[rm]C[0.51 0.49 0.00 -0.5 v=745] ;B[hm]C[0.41 0.59 0.00 -13.3 v=684] ;W[gm]C[0.28 0.72 0.00 -27.1 v=615] ;B[fl]C[0.43 0.57 0.00 -11.7 v=994] ;W[el]C[0.37 0.63 0.00 -20.1 v=939] ;B[gl]C[0.42 0.58 0.00 -8.8 v=1366] ;W[lg]C[0.45 0.55 0.00 -11.6 v=1320] ;B[kf]C[0.43 0.57 0.00 -13.4 v=602] ;W[ql]C[0.47 0.53 0.00 -6.6 v=1198] ;B[rk]C[0.48 0.52 0.00 -9.1 v=602] ;W[mf]C[0.49 0.51 0.00 -4.9 v=1672] ;B[mg]C[0.45 0.55 0.00 -7.4 v=721] ;W[lh]C[0.46 0.54 0.00 -6.3 v=2007] ;B[ri]C[0.49 0.51 0.00 -4.5 v=1129 This is B's profit from the attack though it seems like W has trashed so much, B has solidified the lower left, gotten M2, S11, S9.] ;W[kg]C[0.51 0.49 0.00 -1.4 v=1342] ;B[if]C[0.49 0.51 0.00 -1.2 v=1128] ;W[ki]C[0.53 0.47 0.00 -0.2 v=1171] ;B[ij]C[0.51 0.49 0.00 -0.3 v=1101] ;W[jk]C[0.55 0.45 0.00 0.3 v=851] ;B[ih]C[0.54 0.46 0.00 0.3 v=1034] ;W[ke]C[0.57 0.43 0.00 0.4 v=1429] ;B[jf]C[0.56 0.44 0.00 0.4 v=671] ;W[ii]C[0.63 0.37 0.00 1.3 v=1429] ;B[ed]C[0.56 0.44 0.00 0.5 v=1172] ;W[ec]C[0.72 0.28 0.00 2.3 v=1065] ;B[ji]C[0.74 0.26 0.00 2.4 v=627] ;W[jr]C[0.77 0.23 0.00 2.8 v=1180] ;B[kq]C[0.69 0.31 0.00 2.0 v=601] ;W[ii]C[0.79 0.21 0.00 2.8 v=763] ;B[bf]C[0.82 0.18 0.00 3.0 v=731] ;W[af]C[0.85 0.15 0.00 3.2 v=1020] ;B[ee]C[0.87 0.13 0.00 3.8 v=954] ;W[ji]C[0.87 0.13 0.00 3.6 v=689] ;B[dc]C[0.89 0.11 0.00 3.6 v=783] ;W[cc]C[0.88 0.12 0.00 4.0 v=779] ;B[db]C[0.91 0.09 0.00 3.9 v=974] ;W[fc]C[0.90 0.10 0.00 4.8 v=995] ;B[cb]C[0.87 0.13 0.00 5.3 v=675] ;W[bc]C[0.89 0.11 0.00 5.1 v=1176] ;B[bb]C[0.84 0.16 0.00 5.0 v=1156] ;W[ab]C[0.89 0.11 0.00 4.9 v=1318] ;B[de]C[0.85 0.15 0.00 5.2 v=1025] ;W[cd]C[0.81 0.19 0.00 3.6 v=708] ;B[ch]C[0.86 0.14 0.00 5.5 v=1019] ;W[bh]C[0.85 0.15 0.00 5.1 v=699] ;B[ad]C[0.87 0.13 0.00 5.6 v=1038] ;W[ae]C[0.91 0.09 0.00 6.1 v=872] ;B[bj]C[0.88 0.12 0.00 4.6 v=1037] ;W[qo]C[0.91 0.09 0.00 5.2 v=1142] ;B[ac]C[0.90 0.10 0.00 4.2 v=1255] ;W[bd]C[0.92 0.08 0.00 4.7 v=1527] ;B[ac]C[0.90 0.10 0.00 3.8 v=1707] ;W[eb]C[0.92 0.08 0.00 4.2 v=1912] ;B[bi]C[0.90 0.10 0.00 3.3 v=2115] ;W[da]C[0.92 0.08 0.00 3.6 v=1897] ;B[ag]C[0.91 0.09 0.00 2.9 v=1806] ;W[ah]C[0.92 0.08 0.00 3.2 v=1384] ;B[aa]C[0.91 0.09 0.00 3.0 v=1234] ;W[ca]C[0.92 0.08 0.00 2.9 v=791] ;B[om]C[0.90 0.10 0.00 2.6 v=1140] ;W[gq]C[0.92 0.08 0.00 2.8 v=968] ;B[hq]C[0.90 0.10 0.00 2.8 v=624] ;W[fr]C[0.93 0.07 0.00 3.2 v=789] ;B[hs]C[0.91 0.09 0.00 2.8 v=744] ;W[ob]C[0.95 0.05 0.00 3.2 v=996] ;B[oc]C[0.94 0.06 0.00 2.9 v=888] ;W[ne]C[0.95 0.05 0.00 3.2 v=769] ;B[le]C[0.94 0.06 0.00 2.9 v=858] ;W[ld]C[0.96 0.04 0.00 3.2 v=761] ;B[ai]C[0.95 0.05 0.00 2.6 v=827] ;W[ea]C[0.97 0.03 0.00 2.9 v=675] ;B[cg]C[0.94 0.06 0.00 2.3 v=740] ;W[ba]C[0.97 0.03 0.00 2.8 v=754] ;B[md]C[0.95 0.05 0.00 2.3 v=834] ;W[mc]C[0.97 0.03 0.00 2.8 v=852] ;C[0.96 0.04 0.00 2.4 v=900 result=W+R])