Can computers play go? Yes, they can, but only at a rudimentary level. A zealous beginner who plays every day probably would be able to beat the best computer programs in the world in about a year. One of the problems is that computer programs do not take into account the value of each stone. The value of a stone depends on how well it works with other stones. However, stones can hamper each other and reduce the value of stones nearby. Unlike chess, where calculations are clear-cut because the pieces pretty much have fixed values and the board is fairly small, it is more difficult for computers to make precise calculations in go. However, go highlights what human beings are good at--making and changing plans, flexibility and fuzzy reading.

The first step--part 5

For the past two weeks we have been investigating ways to snare stones and to make sure they cannot escape. One technique we looked at was the ladder, which involves keeping stones down to one liberty with each turn. This week we will look at "nets"--another way of making sure a stone, or multiple stones, cannot escape.

Diagram 1: The marked black stones are in a little trouble. How can they connect to the main group?

Diagram 2: Black 1 makes sure the marked white stone cannot escape. For example, if White plays at A, Black captures two stones with B. The marked stone is caught in a net.

Diagram 3: White 1 is an aggressive move as it cuts the black stones into two groups. However, it is overly aggressive because it is too far away from the white stone at upper right. Black can catch the white stone by using a net. How does that work?

Diagram 4: After white 1, black 2 is the best move. This ensures white 1 cannot escape. What happens if White tries to escape? The only ways out are 3 and 5. However, Black keeps White inside by closing the net with 4 and 6, capturing three white stones.

Diagram 5: The marked white stones are cutting Black's stones in two. Fortunately, it is possible to capture them. How can Black do this?

Diagram 6: Black 1 is the correct move. If White tries to escape, with 2 and 4, for example, the net becomes tighter and with every move, White loses a liberty.

Solutions to last week's problems

Solution 1: The question was, can Black ensure the capture of white A? Black 1 is correct. If White does not answer, Black can capture by playing at 2. What happens if White tries to escape with 2? Black again reduces White's liberties to one by playing at 3. White 4 is a bad move as black 5 captures three stones. The best thing for White to do is abandon his stone at A.

Solution 2A: Black 1 ensures the capture of the marked white stones. If White tries to connect with 2, black 3 makes clever use of White's shortage of liberties. White will be captured next if he does not play at A. But if he does, Black plays at B and captures four white stones.

Solution 2B: Black has other ways of ensuring the capture of the marked white stones: he can also play at 1. If White plays at 2, black 3 captures the marked stones.

Solution 3: The question asked was whether Black could capture the marked stone by playing at 1. White 2 is the only way to escape, but black 3 through 11 keeps White's liberties down to just one. Even if White plays at A, he cannot escape. Black captures by playing at B. So the answer is yes--black 1 will eventually capture the marked white stone. And, of course, White should not try to escape as this will only cause more damage.

New Problems

Problem 1: This position is from a pro game that was played during the Fujitsu tournament. Where should Black play to capture the marked white stone?

Problem 2: In the same game, a few moves later, White cleverly saved the marked stone through the combination of 1 and 3. Black was forced to connect with 4. After white 7, White threatens to connect with A. In the game, after white 7, Black caught the marked stone and white 3 using a net. How did he do that?

Next week, you can find the answers to these problems, or you can find out tomorrow at Ben's Cafe in Takadanobaba (03-3202-2445 or www.benscafe.com), where the English-speaking go community gathers every Sunday at 11 a.m. You can enjoy free lessons until 1 p.m.

Rob van Zeijst is a four-time European champion and European representative of the Fujitsu World Championship.

By Richard Bozulich

By Rob van Zeijst

  1. Example of a pro game
  2. Insight to the pro game
  3. The basics of territory
  4. Be proactive
  5. Take the Initiative
  6. The endgame
  7. The Last Points
  8. Last week's problem
  9. The endgame
  10. Endgame Tesuji
  11. As expected,
  12. Kisei Title
  13. Balancing attack,
  14. Balancing attack and defense
  15. Tobi, kosumi, keima
  16. Tobi, kosumi, keima
  17. The end of the game
  18. O Rissei keeps Kisei title
  19. Solutions to last week's problems
  20. Over the next few weeks
  21. Efficiency calls for good shape
  22. Get an eye for shape
  23. Middle of three stones
  24. Kosumi: pros and cons
  25. Defects of kosumi
  26. Kosumi
  27. Hazama
  28. Attacking
  29. Where there is a keima, there is a cut
  30. Cutting keima the right way
  31. Visualization is a must
  32. Function over form
  33. Rationality
  34. Intuition
  35. Realistic approach
  36. Connecting stones
  37. The so-called cosmic style
  38. Ponnuki
  39. Ponnuki
  40. Ponnuki
  41. Sabotage
  42. Ponnuki and Ko
  43. Fighting ko effectively
  44. Handicap go
  45. Handicap go
  46. The nine-stone handicap
  47. Basics of handicap go
  48. 5 more basic principles of handicap go
  49. Yoda defends Meijin Titlego
  50. Original ideas
  51. The third part of the game
  52. In go, it is easier to...
  53. A good way to improve a game
  54. A big gap between genders
  55. World Championship for Women
  56. Hane defends the Tengen Title
  57. 7-stone handicap
  58. Let's start the New Year...
  59. 9x9 pro game
  60. 9x9 pro game
  61. The following is...
  62. The Go player's...
  63. Of the three most prestigious titles, ...
  64. This is the third installment in a series...
  65. Achallenger has to overcome many obstacles....
  66. In the battle for the 42 million yen.....
  67. Only one week after losing his Kisei.....
  68. After recently losing his Kisei title.....
  69. It is a well-established fact that.....
  70. Go--The first step
  71. Some basics about the pro world
  72. How deep can a pro read?.....
  73. Who are the best go players.....
  74. Can computers play go?.....
  75. Last week, we established.....
  76. Computers have led to a flourishing.....
  77. Though I recommend that you join a go club.....
  78. Last week, we finally got to the point where we discovered that.....
  79. Some people like to offer quotations aimed at showing .....
  80. One of the best and most authoritative Web sites for.....
  81. At the beginner levels, go is an easy game to play.....
  82. We often do things in life without thinking.....
  83. We are often told to do the right thing.....
  84. Following a pattern set by others is easy.....
  85. This week's Go Weekly, a Japanese weekly go newspaper.....
  86. How fast can you do a job and do it right.....
  87. When I am asked by go students how they can.....
  88. Books have been written on the subject.....
  89. Go players are always quick to point out that go is a superior.....
  90. The last few weeks were devoted to tactical issues.....
  91. The fifth and final game in the best-of-five Gosei title match .....
  92. The dividing of land, property, and things of .....
  93. Fireworks are expected between current Meijin .....
  94. Dividing land, property or living space in one's own favor is .....
  95. The dream match between the current Kisei .....
  96. Three games have now been completed in the best-of-seven series.....
  97. We have talked strategy over the past few weeks.....
  98. In study, in all branches of sport.....
  99. The most important things a go beginner.....
  100. In many games and sports,.....
  101. How do you do confront your fears?.....
  102. In go, you cannot expect to deal with.....
  103. When your opponent is much stronger than you.....
  104. Using the power of your opponent for.....
  105. The combination of aggressiveness, .....
  106. Last week, there was some good news for.....
  107. On Dec. 18, in the fifth game of.....
  108. Go Weekly, which hits the nation's newsstands every Monday.....
  109. In go, the beginner must try to master the basics of life and.....
  110. Last week, we started a new series on life and.....
  111. This is the third article in a series on life-and.....
  112. In this article, the fourth in a series, we will take.....
  113. This is the fifth installment of tsume go.....
  114. Practice, practice, practice. This is the way to improve.....
  115. The Kisei title match, worth more than $400,000.....
  116. The Kisei title match, worth more than $400,000.....
  117. For a champion, 25-year-old Keigo Yamashita has.....
  118. In two-day best-of-seven matches.....
  119. Naoki Hane has iron nerves.....
  120. The game of go can be as easy or as difficult.....
  121. On April 18 and 25, the TV Tokyo network will.....
  122. Give and take is widely used in daily life to strike.....
  123. Although go has a history of almost 4,000 years.....
  124. The adage "Chess was invented but go was discovered".....
  125. Unlike chess, in which a board position.....
  126. Over the past few weeks we have concentrated.....
  127. Go is sometimes perceived as a more difficult game than chess
  128. Last week, I stressed that the objective of go was to.....
  129. Anyone can learn the basics of go.
  130. Go can be considered a zero-sum game as .....
  131. If you play a strategic game like go, taking or keeping .....