Author: Bruce Moreland
Date: 14:28:56 09/18/00
Go up one level in this thread
On September 17, 2000 at 21:40:05, Vincent Diepeveen wrote:
>On September 17, 2000 at 20:53:47, James B. Shearer wrote:
>
>> Someone asked in a usenet forum about mating with KBN on larger than 8x8
>>boards. Opinion was mixed on whether it was possible. Has anyone done table
>>base computations for say a 10x10 board?
>> James B. Shearer
>
>I assume a 50 move rule isn't valid anymore at such a board, so
>give me 5 minutes on a clock and bet for 100 dollar that i can't do it,
>and you'll know :)
>
>You just need another few moves to close the king a bit further in.
>there are several methods to mate. I'm sure one of the methods is a bit
>harder now, but if you use the 'making the diagonal smaller' method,
>then it's still a peanut. Just don't let the king escape or even the
>100 move is gonna get tough :)
[Event "?"]
[Site "?"]
[Date "????.??.??"]
[Round "?"]
[White "?"]
[Black "?"]
[Result "1-0"]
[SetUp "1"]
[FEN "55/55/55/55/55/55/55/55/55/NB5k1K w"]
{
a b c d e f g h i j
+---+---+---+---+---+---+---+---+---+---+
10| |///| |///| |///| |///| |///|10
+---+---+---+---+---+---+---+---+---+---+
9 |///| |///| |///| |///| |///| | 9
+---+---+---+---+---+---+---+---+---+---+
8 | |///| |///| |///| |///| |///| 8
+---+---+---+---+---+---+---+---+---+---+
7 |///| |///| |///| |///| |///| | 7
+---+---+---+---+---+---+---+---+---+---+
6 | |///| |///| |///| |///| |///| 6
+---+---+---+---+---+---+---+---+---+---+
5 |///| |///| |///| |///| |///| | 5
+---+---+---+---+---+---+---+---+---+---+
4 | |///| |///| |///| |///| |///| 4
+---+---+---+---+---+---+---+---+---+---+
3 |///| |///| |///| |///| |///| | 3
+---+---+---+---+---+---+---+---+---+---+
2 | |///| |///| |///| |///| |///| 2
+---+---+---+---+---+---+---+---+---+---+
1 |/N/| B |///| |///| |///| k |///| K | 1
+---+---+---+---+---+---+---+---+---+---+
a b c d e f g h i j
}
1. Nc2 { Nb3, Bd3, Bf5, Bh7, Kj2 } Kh2 2. Ne3 { Nd4, Kj2 } Ki3 { Kh1, Kh3 } 3.
Nf5 { Bd3, Bh7, Bi8, Ki1 } Kh2 { Kh3, Kj3 } 4. Bd3 { Be4, Kj2 } Ki3 { Kh1,
Kh3 } 5. Be2 Kh2 { Kh3, Kj3 } 6. Kj2 Kg1 { Kh3, Kg2 } 7. Ki3 Kf2 8. Bg4 { Bh5,
Bi6, Bj7 } Ke1 { Kg1, Kf1, Kg2 } 9. Kh4 Kd2 { Kf2 } 10. Kg3 { Kg5 } Kc1 { Ke1,
Kc3, Kd3, Kc2 } 11. Ne3 { Kf4, Kf3 } Kb2 { Kd2 } 12. Be6 { Kf4, Kf3 } Ka1
{ Kc1, Kc3, Kb1 } 13. Kf2 { Kf4, Kf3 } Kb2 14. Kf3 Ka1 { Kc1, Ka3, Kc3, Kb1 }
15. Ke2 { Ke4 } Kb2 16. Kd3 { Kd2 } Kb1 17. Nc2 { Kd2, Kc3 } Kb2 { Kc1 } 18.
Kd2 Kb1 19. Kc3 Kc1 20. Ba2 Kd1 21. Nd4 Ke1 22. Kd3 Kf2 23. Ne2 Kg2 24. Be6 Kf3
25. Bf5 { Bh3, Bi2, Bj1, Bd7, Bc8, Bb9, Ba10 } Kg2 26. Bg4 { Ke4, Ke3 } Kf2
{ Kh2 } 27. Ke4 Ke1 { Kg2 } 28. Ke3 Kd1 29. Bf5 { Kd3 } Ke1 30. Bc2 { Be6,
Bd7 } Kf1 31. Nf4 Kg1 32. Bf5 { Kf3 } Kh2 { Kf1 } 33. Nh5 Kg2 34. Ke2 Kg1 35.
Bh3 { Bh7 } Kh2 36. Bf1 { Bi4, Bj5 } Kg1 37. Bi4 { Bj5, Ke1 } Kh2 38. Kf1
{ Kf3, Kf2 } Kh1 39. Bh3 { Bg2+, Bj5, Kf2 } Kh2 40. Bg2 Ki1 41. Kg1 Ki2 42. Bi4
Kj1 { Ki1 } 43. Kh2 { Kh1 } Kj2 44. Ng3 Kj1 45. Bh5 { Bg6, Bf7, Be8, Bd9, Bc10 }
Kj2 46. Nh1+ Kj1 47. Bg4# 1-0
The above might have bugs. If not, it's the worst case with white to move, mate
in 47. This looks like a harder case than the standard 8 x 8 board, since black
can start out in a corner, constrain white for a bit, then evade to the center,
since, I presume, the knight is too slow to catch black. In the 8 x 8 version,
black starts out in the center in the worst case.
KR vs K is a mate in 21, and KQ vs K is a mate in 12.
I can't do a 9 x 9 board as easily as a 10 x 10 board, but I think it may be
possible that you could have a "wrong" bishop in KNB vs K with that sized board,
so it could be a draw in some cases.
bruce
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