Author: Bruce Moreland
Date: 14:08:40 09/24/00
Go up one level in this thread
That was just the longest path. It hadn't occurred to me that the general case
was won, and I made no claim that it was.
However, it does appear to be won in the general case. BRK vs RK also appears
to be won, in a slightly higher percentage of cases.
bruce
--------------
On September 24, 2000 at 16:47:07, Vincent Diepeveen wrote:
>On September 24, 2000 at 15:49:54, Bruce Moreland wrote:
>
>>I think this is fun. It only took an hour or so to do, and the file is 17 mb.
>>It is interesting that this case is so hard on a small board.
>
>I see why it is won in 6x6, the knight can attack both wings and
>especially both the last and first rows at the
>same time, so also the row where the rook is, it is not safe there!
>
>Pure theoretical not so amazing that knight becomes stronger, but that
>KRN KR is won, that's of course a bit too far from the thought world
>of the chessplayer, as it's VERY simple to draw KRN KR at 8x8!
>
>Note that there are more games where similar things are visible.
>
>In draughts 10x10 there 3 queens against 1 is a draw, in checkers
>3 queens against 1 is usually a win!
>
>>bruce
>>
>>------------
>>
>>[Event "?"]
>>[Site "?"]
>>[Date "????.??.??"]
>>[Round "?"]
>>[White "?"]
>>[Black "?"]
>>[Result "1-0"]
>>[SetUp "1"]
>>[FEN "5K/6/1r4/5k/4R1/N w"]
>>
>>{
>> a b c d e f
>> +---+---+---+---+---+---+
>>6 | |///| |///| |/K/| 6
>> +---+---+---+---+---+---+
>>5 |///| |///| |///| | 5
>> +---+---+---+---+---+---+
>>4 | |/r/| |///| |///| 4
>> +---+---+---+---+---+---+
>>3 |///| |///| |///| k | 3
>> +---+---+---+---+---+---+
>>2 | |///| |///| R |///| 2
>> +---+---+---+---+---+---+
>>1 |/N/| |///| |///| | 1
>> +---+---+---+---+---+---+
>> a b c d e f
>>}
>>
>>1. Re1! Kf4 2. Re6! Rb5 3. Ra6! Rb2 4. Rc6 Ke4 5. Nc2! Kd5 6. Rc3! Ke4 7. Rc4+
>>Kd3 8. Na3! Rb6+ 9. Ke5! Rb5+ 10. Kf4! Rb6 11. Rc5 Kd4 12. Rf5 Rb2 13. Nb5+!
>>Kc4 14. Nd6+! Kd4 15. Kf3 Rb3+ 16. Ke2 { Kf2 } Re3+ 17. Kf2 Re6 { Ra3 } 18.
>>Nb5+! Kd3 19. Rf3+ Kd2 20. Nc3 Re5 { Re1 } 21. Nb1+ Kd1 22. Rf4 Kc2 23. Na3+!
>>Kd3 { Kc3 } 24. Rf3+ Kd4 25. Nc2+ Kc4 26. Ra3 Re6 { Kb5 } 27. Ne3+ { Kf3 } Kb5
>>{ Kc5, Kb4 } 28. Rb3+ { Rd3, Kf3, Ke2 } Kc5 29. Ke2 Rd6 30. Rb1 Rb6 31. Rc1+
>>Kd4 32. Rc4+ Ke5 33. Nd1 { Ra4 } Rf6 34. Nb2 { Ke3 } Kd5 35. Ke3 Rb6 36. Rd4+
>>Kc6 37. Nd3 Kb5 38. Rb4+ { Ke4 } Ka6 { Kc6, Ka5 } 39. Rc4 Kb5 40. Rc5+ Ka4 41.
>>Kd4 Rb1 42. Rc4+ { Rc3, Rc2, Rc6 } Kb3 { Kb5, Ka3, Ka5 } 43. Rc3+ { Rc6 } Ka4
>>44. Kc4 Ka5 45. Rc2 Rb5 { Kb6 } 46. Ra2+ Kb6 47. Rf2 Rb1 { Ka5 } 48. Rf5 Ra1
>>49. Rb5+ Kc6 50. Ne5+ Kd6 51. Kd4 Ke6 52. Rb2 Kf5 53. Nd3 Ra4+ 54. Kd5 Ra5+ 55.
>>Nc5 Kf4 56. Rb3 Rxc5+ 57. Kxc5! Ke4 58. Ra3 { Rc3 } Ke5 59. Ra4 Kf6 { Ke6 } 60.
>>Re4 { Kd6, Kd5 } Kf5 61. Kd5 Kf6 62. Rf4# 1-0
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