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+ − 3 <!-- Mirrored from users.eniinternet.com/bradleym/Magic.html by HTTrack Website Copier/3.x [XR&CO'2014], Sun, 06 Nov 2022 06:49:09 GMT -->
+ − 4 <head>
+ − 5 <title></title>
+ − 6 </head>
+ − 7 <body text="#000000" link="#0000ff" vlink="#551a8b" alink="#ff0000" bgcolor="#c0c0c0">
+ − 8
+ − 9 <p><hr>
+ − 10
+ − 11 <br wp="br1"><br wp="br2"><a name="The Magic Of Go">
+ − 12 <p><strong>The Magic Of Go</strong>
+ − 13
+ − 14 <p><strong>© 2002 Milton N. Bradley</a></strong>
+ − 15
+ − 16 <p>Although the characteristic which places Go on a unique plane far above competitors like chess
+ − 17 is its almost unbelievably profound strategy, it is the clever, incisive tactics of Go that are the
+ − 18 most obvious and accessible feature which provides much of its appeal.
+ − 19
+ − 20 <p>As in chess, perhaps the most startling and frequently unexpected of Go's extensive catalog of
+ − 21 clever tactical ploys is the sacrifice, so this will be the focus of many of the few selected
+ − 22 examples presented here.
+ − 23
+ − 24 <p>Unlike chess, in which many of the best problems can be shown to be impossible to achieve in a
+ − 25 real game, EVERY GO PROBLEM IS COMPLETELY REALISTIC and the vast majority of the
+ − 26 best ones have actually occurred in master games! <a href="#Problem 1">
+ − 27
+ − 28 <p>Problem 1</a> - Elementary <a href="#Problem 2">
+ − 29
+ − 30 <p>Problem 2</a> - Elementary <a href="#Problem 3">
+ − 31
+ − 32 <p>Problem 3</a> - Easy <a href="#Problem 4">
+ − 33
+ − 34 <p>Problem 4</a> - Easy <a href="#Problem 5">
+ − 35
+ − 36 <p>Problem 5</a> - Intermediate <a href="#Problem 6">
+ − 37
+ − 38 <p>Problem 6</a> - Intermediate <a href="#Problem 7">
+ − 39
+ − 40 <p>Problem 7</a> - Somewhat Difficult <a href="#Problem 8">
+ − 41
+ − 42 <p>Problem 8</a> - Somewhat Difficult <a href="#Problem 9">
+ − 43
+ − 44 <p>Problem 9</a> - Moderately Difficult <a href="#Problem 10">
+ − 45
+ − 46 <p>Problem 10</a> - Moderately Difficult
+ − 47
+ − 48 <p>The examples presented here provide only a tiny insight into the beautiful and challenging world
+ − 49 of Go problems. For a vastly greater and more advanced selection, please refer to the section
+ − 50 entitled "Problems" in the wonderful <a href="http://nngs.cosmic.org/hmkw/golinks.html"></font><font color="#0033ff"><strong>The Web Go Page Index</strong></font><font color="#0000ff"></a></font>
+ − 51
+ − 52 <p>After you've had your fill of those brain twisters (at least for the moment) please don't forget to
+ − 53 return here for the remainder of my presentation!<a href="Legend.html">
+ − 54
+ − 55 <p><font color="#0033ff"><strong>Continue</strong></font></a>
+ − 56
+ − 57 <p>Click Here To Return To<a href="index.html"><font color="#0033ff"><strong> Milt's Go Page</strong></font></a>
+ − 58
+ − 59 <p><hr>
+ − 60 <br wp="br1"><br wp="br2"><a name="Problem 1">
+ − 61 <p>Problem 1</a> - Black To Play And Live
+ − 62
+ − 63 <p><font color="#0000ff"><img src="img.gif" width="122" height="122" align="bottom" ></font>
+ − 64
+ − 65 <p>Click here to see the <a href="#Problem 1 Solution">Solution And Explanation</a>
+ − 66
+ − 67 <p><hr>
+ − 68 <a name="Problem 2">
+ − 69 <p>Problem 2</a> - Black To Play And Kill
+ − 70
+ − 71 <p><img src="img1.gif" width="102" height="262" align="left" >
+ − 72 <br wp="br1"><br wp="br2">
+ − 73 <br wp="br1"><br wp="br2">
+ − 74 <br wp="br1"><br wp="br2">
+ − 75 <br wp="br1"><br wp="br2">
+ − 76 <br wp="br1"><br wp="br2">
+ − 77 <br wp="br1"><br wp="br2">
+ − 78 <br wp="br1"><br wp="br2">
+ − 79 <br wp="br1"><br wp="br2">
+ − 80
+ − 81 <p>Click here to see the <a href="#Problem 2 Solution">Solution And Explanation</a>
+ − 82
+ − 83 <p><hr><br wp="br1"><br wp="br2"><a name="Problem 3">
+ − 84 <p>Problem 3</a> - White to play and kill the Black upper left corner.
+ − 85
+ − 86 <p><img src="img2.gif" width="162" height="202" align="left" ></font>
+ − 87 <br wp="br1"><br wp="br2">
+ − 88 <br wp="br1"><br wp="br2">
+ − 89 <br wp="br1"><br wp="br2">
+ − 90 <br wp="br1"><br wp="br2">
+ − 91 <br wp="br1"><br wp="br2">
+ − 92 <br wp="br1"><br wp="br2">
+ − 93
+ − 94 <p>Click here to see the<a href="#Problem 3 Solution"> Solution And Explanation</a>
+ − 95
+ − 96 <p><hr>
+ − 97
+ − 98 <br wp="br1"><br wp="br2"><a name="Problem 4">
+ − 99 <p>Problem 4</a> - White to play and live in the upper left corner.
+ − 100
+ − 101 <p><img src="img3.gif" width="202" height="222" align="left" ></font>
+ − 102 <br wp="br1"><br wp="br2">
+ − 103 <br wp="br1"><br wp="br2">
+ − 104 <br wp="br1"><br wp="br2">
+ − 105 <br wp="br1"><br wp="br2">
+ − 106 <br wp="br1"><br wp="br2">
+ − 107 <br wp="br1"><br wp="br2">
+ − 108 <p>Click here to see the <a href="#Problem 4 Solution">Solution and Explanation</a>
+ − 109
+ − 110 <p><hr>
+ − 111
+ − 112 <br wp="br1"><br wp="br2"><a name="Problem 5">
+ − 113 <p>Problem 5</a> - Black to play and live despite the fact that the marked White stone has just been
+ − 114 played on his key point!
+ − 115 <p><img src="img4.gif" width="193" height="97" align="left" >
+ − 116
+ − 117 <br wp="br1"><br wp="br2">
+ − 118 <br wp="br1"><br wp="br2">
+ − 119 <br wp="br1"><br wp="br2">
+ − 120 <p>Click here to see the <a href="#Problem 5 Solution">Solution And Explanation</a>
+ − 121
+ − 122 <p><hr>
+ − 123 </font>
+ − 124 <br wp="br1"><br wp="br2"><a name="Problem 6">
+ − 125 <p>Problem 6</a> - Black to Play For Ko
+ − 126 <p><img src="img5.gif" width="122" height="142" align="left" >
+ − 127
+ − 128 <br wp="br1"><br wp="br2">
+ − 129 <br wp="br1"><br wp="br2">
+ − 130 <br wp="br1"><br wp="br2">
+ − 131 <br wp="br1"><br wp="br2">
+ − 132 <br wp="br1"><br wp="br2">
+ − 133 <p>Click here to see the <a href="#Problem 6 Solution">Solution And Explanation</a>
+ − 134
+ − 135 <p><hr>
+ − 136 </font>
+ − 137 <br wp="br1"><br wp="br2"><a name="Problem 7">
+ − 138 <p>Problem 7</a> - Black To Play And Live (Despite the fact that the marked White stone has just been
+ − 139 played.)
+ − 140
+ − 141 <p><img src="img6.gif" width="142" height="182" align="left" >
+ − 142
+ − 143 <br wp="br1"><br wp="br2">
+ − 144 <br wp="br1"><br wp="br2">
+ − 145 <br wp="br1"><br wp="br2">
+ − 146 <br wp="br1"><br wp="br2">
+ − 147 <br wp="br1"><br wp="br2">
+ − 148 <br wp="br1"><br wp="br2">
+ − 149 <p>Click here to see the <a href="#Problem 7 Solution">Solution And Explanation</a>
+ − 150
+ − 151 <p><hr>
+ − 152
+ − 153 <br wp="br1"><br wp="br2"><a name="Problem 8">
+ − 154 <p>Problem 8</a> - Black To Play And Kill
+ − 155
+ − 156 <p><img src="img7.gif" width="122" height="162" align="left" >
+ − 157
+ − 158 <br wp="br1"><br wp="br2">
+ − 159 <p>Here, The white stones have excellent shape and a solid root in the corner,
+ − 160 so killing them can only be achieved via the most precise play.
+ − 161
+ − 162 <br wp="br1"><br wp="br2">
+ − 163 <br wp="br1"><br wp="br2">
+ − 164 <br wp="br1"><br wp="br2">
+ − 165 <p>Click here to see the <a href="#Problem 8 Solution">Solution And Explanation</a>
+ − 166
+ − 167 <p><hr>
+ − 168 </font>
+ − 169 <br wp="br1"><br wp="br2"><a name="Problem 9">
+ − 170 <p>Problem 9</a> - Black To Play And Live
+ − 171
+ − 172 <p><img src="img8.gif" width="162" height="122" align="left" >
+ − 173
+ − 174 <br wp="br1"><br wp="br2">
+ − 175 <br wp="br1"><br wp="br2">
+ − 176 <br wp="br1"><br wp="br2">
+ − 177 <br wp="br1"><br wp="br2">
+ − 178 <p>Click here to see the <a href="#Problem 9 Solution">Solution And Explanation</a>
+ − 179
+ − 180 <p><hr>
+ − 181 </font>
+ − 182 <br wp="br1"><br wp="br2"><a name="Problem 10">
+ − 183 <p>Problem 10</a> - Black to Play And Kill
+ − 184
+ − 185 <p><img src="img9.gif" width="162" height="142" align="left" >
+ − 186
+ − 187 <br wp="br1"><br wp="br2">
+ − 188 <br wp="br1"><br wp="br2">
+ − 189 <br wp="br1"><br wp="br2">
+ − 190 <br wp="br1"><br wp="br2">
+ − 191 <br wp="br1"><br wp="br2">
+ − 192 <p>Click here to see the <a href="#Problem 10 Solution">Solution And Explanation</a><hr>
+ − 193
+ − 194 <br wp="br1"><br wp="br2">
+ − 195 <p><hr>
+ − 196 <a name="Problem 1 Solution">
+ − 197 <p>Problem 1 Solution</a>
+ − 198
+ − 199 <p><img src="img10.gif" width="122" height="122" align="left" >The "rule of thumb" which applies here is "in a symmetrical position, play
+ − 200 at the middle", and with B1 the life of the Black group is assured!
+ − 201
+ − 202 <p>If W2 attempts to narrow Black's eyespace B3 blocks while forming one
+ − 203 eye. Then W4 and B5 repeat the procedure on the other side, giving Black
+ − 204 the 2 separate and distinct eyes needed for life and safety.
+ − 205
+ − 206 <p>By symmetry, W2 and 4 may be played in either order.
+ − 207
+ − 208 <p>Of course, in a game between experienced players, none of this will occur (except as Ko threats
+ − 209 and responses) until the late endgame, since both sides can clearly see that after B1 it is
+ − 210 impossible for White to kill directly.
+ − 211
+ − 212 <p>Please note that whether or not the point "a" is filled (by either side) makes absolutely no
+ − 213 difference to the life or death of these stones! Finally, after B5 White can only defend one or the
+ − 214 other of W2 and 4, so Black is almost certain to be able to capture one of them. <a href="#Problem 2">
+ − 215
+ − 216 <p>Next Problem</a>
+ − 217
+ − 218 <p>Click here to Return To <a href="#The Magic Of Go">The Magic Of Go</a>
+ − 219
+ − 220 <p><hr>
+ − 221
+ − 222 <br wp="br1"><br wp="br2"><a name="Problem 2 Solution">
+ − 223 <p>Problem 2 Solution</a>
+ − 224
+ − 225 <p><img src="img11.gif" width="102" height="262" align="left" >B1 is the key initial play, on White's eye-making point (if White plays here
+ − 226 instead, he has 3 eyes and is alive!).
+ − 227
+ − 228 <p>Since the position is symmetrical, it makes no difference if W2 is played as
+ − 229 shown or at 5.
+ − 230
+ − 231 <p>Because W2 threatens to continue at 3, not only making one eye but with atari
+ − 232 on the 2 Blacks as well, the additional sacrifice of B3 to prevent this is
+ − 233 necessary.
+ − 234
+ − 235 <p>W4 is not only atari on the 3 Blacks, but also threatens to continue at 5 to form
+ − 236 an eye as well, so B5 to prevent this is essential.
+ − 237
+ − 238 <p>(Note that if W4 is played at 5 instead, B5 at 4 also kills! Please work this
+ − 239 variation out for yourself.)
+ − 240
+ − 241 <p>Finally, W6 could be played to capture the 3 trapped Blacks but this would not
+ − 242 save him because 3 stones in an "L" is a "dead shape", so B7 would be played
+ − 243 back "beneath the stones" at 1 to reduce White to one eye. Therefore the White formation here is
+ − 244 simply "dead as it stands"...... except that there is still a spark of life remaining! Do you see why?
+ − 245
+ − 246 <p>The only chance for life is if White captures the 3 Blacks as a Ko Threat which Black cannot
+ − 247 afford to answer here. Then, White will be the one who can play "beneath the stones" at the point
+ − 248 of 1 to form his 2 eyes after all!
+ − 249
+ − 250 <p>From this analysis, the alert reader may realize that in an actual game between two competent
+ − 251 players in this situation no further moves would be made directly after B1, because White would
+ − 252 "read" out the diagramed sequence mentally and recognize that it failed. So, in practice, ALL of
+ − 253 the diagramed moves would be made ONLY as Ko Threats and responses thereto! (If and when
+ − 254 such a remote Ko came into existence.) <a href="#Problem 3">
+ − 255
+ − 256 <p>Next Problem</a><a href="#Problem 1">
+ − 257
+ − 258 <p>Prior Problem</a>
+ − 259
+ − 260 <p>Click here to Return To <a href="#The Magic Of Go">The Magic Of Go</a>
+ − 261
+ − 262 <p><hr>
+ − 263
+ − 264 <br wp="br1"><br wp="br2"><a name="Problem 3 Solution">
+ − 265 <p>Problem 3 Solution</a>
+ − 266
+ − 267 <p><img src="img12.gif" width="182" height="202" align="left" >
+ − 268
+ − 269 <br wp="br1"><br wp="br2">
+ − 270
+ − 271 <p>The Black corner group already has one secure eye at "a", but in
+ − 272 order for it to secure the second real eye needed to ensure its
+ − 273 absolute safety (here, at "b"), Black would have to play on the
+ − 274 point now occupied by the marked White stone.
+ − 275
+ − 276 <p>By playing the marked sacrifice stone on this key point himself,
+ − 277 White has converted the point "b" into a FALSE EYE, and
+ − 278 because the Black group cannot escape it is now DEAD AS IT
+ − 279 STANDS. Because these Black stones still have liberties they will
+ − 280 remain on the board until both sides have passed and the game is
+ − 281 over, but then White will simply remove all of them as his
+ − 282 prisoners without further play! <a href="#Problem 2">
+ − 283
+ − 284 <br wp="br1"><br wp="br2">
+ − 285
+ − 286 <p>Prior</a><a href="#Problem 4">
+ − 287
+ − 288 <p>Next</a>
+ − 289
+ − 290 <p>Click here to Return To <a href="#The Magic Of Go">The Magic Of Go</a>
+ − 291
+ − 292 <p><hr>
+ − 293
+ − 294 <br wp="br1"><br wp="br2"><a name="Problem 4 Solution">
+ − 295 <p>Problem 4 Solution</a>
+ − 296
+ − 297 <p><img src="img13.gif" width="202" height="202" align="top" ><img src="img14.gif" width="202" height="202" align="top" >
+ − 298
+ − 299
+ − 300 <p>W1 is the key sacrifice, giving atari to 3 Black stones.
+ − 301
+ − 302 <p>At this point a competent Black would abandon these stones, because further resistance is futile!
+ − 303
+ − 304
+ − 305 <p>If Black foolishly continues with B2 as shown to capture W1 (and remove it from the board), W3
+ − 306 is again atari on the same 3 Blacks.
+ − 307
+ − 308 <p>If B4 then mistakenly connects, after the inescapable atari of W5 he has lost 6 stones instead of
+ − 309 only 3, but since he has captured W1 his true net loss is "only" 5 stones. With either scenario
+ − 310 White is assured of his necessary 2 eyes, and life in the corner.
+ − 311
+ − 312 <p>This position arose in an actual game between two professional Go masters, played on the
+ − 313 Internet Go Server (IGS) in Feb 1997, but with Black to move instead of White! So, of course,
+ − 314 the opportunity for White to play this sacrificial sequence never occurred because Black foresaw
+ − 315 it and wisely played on the point to the right of W5 to prevent it!
+ − 316
+ − 317 <p>This sort of prophylactic play is quite common at the higher levels, and as a consequence most
+ − 318 (but far from all) of the spectacular tactical ploys in Go occur only in the minds of the players,
+ − 319 and not on the board! <a href="#Problem 3">
+ − 320
+ − 321 <p>Prior</a><a href="#Problem 5">
+ − 322
+ − 323 <p>Next</a>
+ − 324
+ − 325 <p>Click here to Return To <a href="#The Magic Of Go">The Magic Of Go</a>
+ − 326
+ − 327 <p><hr>
+ − 328 <br wp="br1"><br wp="br2"><a name="Problem 5 Solution">
+ − 329 <p>Problem 5 Solution</a>
+ − 330
+ − 331 <p><img src="img15.gif" width="193" height="97" align="bottom" > <img src="img16.gif" width="193" height="97" align="bottom" > <img src="img17.gif" width="193" height="97" align="bottom" >
+ − 332
+ − 333 <p>B1 makes one eye, and then W2 gives atari to one Black.
+ − 334
+ − 335 <p>B3 captures 2 White stones, and then W4 plays back on the point just vacated by W2 ("beneath
+ − 336 the stones") to again atari the lone Black stone.
+ − 337
+ − 338 <p>Next, if B5 is mistakenly played at the point of 6 to capture W4, the atari of W5 kills Black
+ − 339 because the eye at 4 is false!
+ − 340
+ − 341 <p>So the only feasible response is the connection of B5 as shown, allowing W6 to capture 4
+ − 342 Blacks!
+ − 343
+ − 344 <p>But now it is Black who gets to make the play "beneath the stones" with B7, giving an
+ − 345 inescapable atari to W4, 6 and thereby assuring Black's second eye with their capture!
+ − 346
+ − 347 <p>The secret to success in such situations, of course, is not only being able to visualize the entire
+ − 348 sequence beforehand, but also in not being greedy and attempting to save the 4 Black stones.
+ − 349
+ − 350 <p>(Although I have characterized this as an "advanced" problem because it involved both sides
+ − 351 playing "beneath the stones", to a strong Go player it is really quite simple and many more
+ − 352 difficult situations are routinely encountered on a daily basis.) <a href="#Problem 4">
+ − 353
+ − 354 <p>Prior</a><a href="#Problem 6">
+ − 355
+ − 356 <p>Next</a>
+ − 357
+ − 358 <p>Click here to Return To <a href="#The Magic Of Go">The Magic Of Go</a>
+ − 359
+ − 360 <p><hr>
+ − 361 </font>
+ − 362 <br wp="br1"><br wp="br2"><a name="Problem 6 Solution">
+ − 363 <p>Problem 6 Solution</a>
+ − 364
+ − 365 <p><img src="img18.gif" width="122" height="142" align="left" >B1 is the key point, and after this White cannot avoid the Ko.
+ − 366
+ − 367 <p>W2 is forced! If this stone is mistakenly played at 3 to form an eye, the
+ − 368 clever "throw in" sacrifice of B3 at 2 sets up a SNAPBACK which captures
+ − 369 4 stones and kills the entire White group outright!
+ − 370
+ − 371 <p>If W2 correctly connects as shown, then the atari of B3 sets up a Ko in the
+ − 372 corner when W4 makes its forced capture. This is a "flower viewing" Ko for
+ − 373 Black because it has cost him nothing if he loses it (and even then he will
+ − 374 almost certainly profit elsewhere as a result of the Ko threat which White
+ − 375 can't afford to answer), while White risks his entire corner here (worth over 20 points!). <a href="#Problem 5">
+ − 376
+ − 377 <p>Prior</a><a href="#Problem 7">
+ − 378
+ − 379 <p>Next</a>
+ − 380
+ − 381 <p>Click here to Return To <a href="#The Magic Of Go">The Magic Of Go</a>
+ − 382
+ − 383 <p><hr>
+ − 384
+ − 385 <br wp="br1"><br wp="br2"><a name="Problem 7 Solution">
+ − 386 <p>Problem 7 Solution</a>
+ − 387
+ − 388 <p><img src="img19.gif" width="142" height="182" align="left" ><img src="img20.gif" width="142" height="182" align="left" >
+ − 389 B1 is the only way to begin, but then W2 establishes a connection to his stones below, and it looks bad for Black!
+ − 390
+ − 391 <p>But B3 is a clever sacrifice which gives atari to
+ − 392 both Whites, so W4 MUST capture it.
+ − 393
+ − 394 <p>Next, B5 threatens to continue at 7 with a double
+ − 395 atari, so White MUST connect at either 6 or 8.
+ − 396
+ − 397 <p>Then when B7 gives atari W must make the other connection, because allowing the capture
+ − 398 would not only give Black his needed 2 eyes but some prisoners as well.
+ − 399
+ − 400 <p>Finally, B9 forms the needed 2 eyes to give Black life and safety. <a href="#Problem 6">
+ − 401
+ − 402 <p>Prior</a><a href="#Problem 8">
+ − 403
+ − 404 <p>Next</a>
+ − 405
+ − 406 <p>Click here to return to <a href="#The Magic Of Go">The Magic Of Go</a>
+ − 407
+ − 408 <p><hr>
+ − 409
+ − 410 <br wp="br1"><br wp="br2"><a name="Problem 8 Solution">
+ − 411 <p>Problem 8 Solution</a>
+ − 412
+ − 413 <p><img src="img21.gif" width="122" height="162" align="left" >The solution to this problem is provided by the Japanese Go proverb "There
+ − 414 is death in the Hane".
+ − 415
+ − 416 <p>B1 is the first Hane, narrowing White's eyespace and threatening to continue
+ − 417 at "a".
+ − 418
+ − 419 <p>W2 is atari on B1, while also preventing the killing B"a".
+ − 420
+ − 421 <p>Because of the presence of the marked Black stone, White cannot escape
+ − 422 even if he captures B1, so B3 ignores the atari to make a second Hane on the
+ − 423 other side, threatening to continue at "b".
+ − 424
+ − 425 <p>This time W4 isn't an atari so Black has time for the clever placement of B5, but with W4 White
+ − 426 is now assured of one eye in the corner..
+ − 427
+ − 428 <p>Since B5 threatens to connect out at 6 to kill White's second eye, W6 is forced, but then....
+ − 429
+ − 430 <p>B7 is atari on two separate White 2-stone units, assuring the capture of one or the other of them.
+ − 431
+ − 432 <p>After this, W"c" seems to make 2 eyes after all, but is really futile because after Black captures 2
+ − 433 Whites via B"d" or B"e", either W2 or W4 will eventually be put in atari, so the needed eye at
+ − 434 either "a" or "b" will be false and White is dead! <a href="#Problem 7">
+ − 435
+ − 436 <p>Prior</a><a href="#Problem 9">
+ − 437
+ − 438 <p>Next</a>
+ − 439
+ − 440 <p>Click here to Return To <a href="#The Magic Of Go">The Magic Of Go</a>
+ − 441
+ − 442 <p><hr>
+ − 443 <a name="Problem 9 Solution">
+ − 444 <p>Problem 9 Solution</a>
+ − 445
+ − 446 <p><img src="img22.gif" width="162" height="142" align="left" >B1 not only prevents a White atari at this same point while practically
+ − 447 assuring the capture of the marked White stone, but also prepares to
+ − 448 make an eye in the corner by continuing at 2, so...
+ − 449
+ − 450 <p>W2 is a sacrifice on the key point to prevent the Black eye.
+ − 451
+ − 452 <p>Next, B3 is a clever counter-sacrifice which does 2 key things:
+ − 453
+ − 454 <p>By threatening to capture the 2 Whites below, it forces W4 to assure
+ − 455 its own capture; and until B3 IS captured White can't give atari at "a"
+ − 456 to the 2 Blacks because it would be a self-atari!
+ − 457
+ − 458 <p>This gives Black time to play B5, which threatens to continue at 6 to capture 2 Whites separately
+ − 459 and make Black's needed 2 eyes, so....
+ − 460
+ − 461 <p>W6 is yet another sacrifice to prevent this, allowing
+ − 462
+ − 463 <p>B7, which makes an eye and assures Black's life. Why? Because with "c" still open W"d" can be
+ − 464 met by B"e" to atari and assure the capture of the 3 Whites and make Black's second eye! <a href="#Problem 8">
+ − 465
+ − 466 <p>Prior</a><a href="#Problem 10">
+ − 467
+ − 468 <p>Next</a>
+ − 469
+ − 470 <p>Click here to Return To <a href="#The Magic Of Go">The Magic Of Go</a>
+ − 471 <p><hr>
+ − 472 <a name="Problem 10 Solution">
+ − 473 <p>Problem 10 Solution</a>
+ − 474
+ − 475 <p><img src="img23.gif" width="162" height="142" align="left" >The key to the solution is the sacrifice of B1 to prevent White's own
+ − 476 play on this key eyemaking point.
+ − 477
+ − 478 <p>W2 desperately tries to enlarge his eyespace, so the block of B3 is
+ − 479 essential to contain this.
+ − 480
+ − 481 <p>W4 threatens to continue at 5 to form one eye and assure the capture
+ − 482 of 2 Blacks to assure the second, so....
+ − 483
+ − 484 <p>The additional sacrifice of B5 to prevent this is necessary.
+ − 485
+ − 486 <p>Next, W6 again threatens to make an eye by continuing at 7, so yet another sacrifice via B7 on
+ − 487 this new key point is necessary.
+ − 488
+ − 489 <p>Next W8 threatens to continue at "a" to assure the capture of 4 Blacks with a "live shape" for
+ − 490 White, so...
+ − 491
+ − 492 <p>Yet another sacrifice via B9 is necessary to assure the death of the White group because now
+ − 493 W"a" would capture 5 Blacks in a "dead shape". Why? Because after W"a"' captures the 5
+ − 494 Blacks, a final Black sacrifice "beneath the stones" at 1 reduces White to 1 eye and kills. <a href="#Problem 9">
+ − 495
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