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Subject: Re: 20 Knights, 20 Bishops, 20 Rooks and 18 Qeens in real games

Author: Heiner Marxen

Date: 10:11:02 06/10/01

Go up one level in this thread


On June 08, 2001 at 18:48:11, Eduard Nemeth wrote:

>I copy this game with FRITZ 6, then under Shredder 5 you can this analysis-game
>not played (20 knights)! Under Tiger "Lokasoft-Gui" You can a CBF-database with
>this games not load!
>
>20 Knights:
>[D]Nn1NN1NN/1NN4k/1N5n/8/8/N7/n4nK1/nnnn1nNn w - - 0 51
>
>20 Knights(51 moves) [A00]
>Zoltan Blazsik, 1997
>
>1.h4 g5 2.h5 g4 3.h6 Lg7 4.Th3 gxh3 5.hxg7 h5 6.b4 a5 7.b5 Ta6 8.bxa6 a4 9.a7 a3
>10.Lb2 axb2 11.a4 h2 12.g4 e5 13.f4 d5 14.e4 Le6 15.f5 h4 16.fxe6 f5 17.g5 h3
>18.c4 Dd6 19.c5 f4 20.cxd6 c5 21.Lc4 dxc4 22.d4 c3 23.d5 c4 24.Dd4 exd4 25.a5
>bxa1S 26.a8S c2 27.a6 c1S 28.a7 c3 29.gxh8S b5 30.Sb6 b4 31.a8S b3 32.Sa3 b2
>33.e5 b1S 34.g6 Sa2 35.g7 Sh6 36.g8S c2 37.d7+ Kf8 38.d8S c1S 39.e7+ Kg7 40.d6
>h1S 41.d7 h2 42.Sb7 d3 43.d8S d2+ 44.Kf1 f3 45.e8S+ Kh7 46.e6 f2 47.Kg2 d1S
>48.Sec7 f1S 49.e7 Shf2 50.e8S h1S 1-0
>
>or 0-1? :)

Just for fun I let Chest ponder this one a bit.  First, let's search a mate
for white:

W:  Kg2 Na3 Na8 Nb6 Nb7 Nc7 Nd8 Ne8 Ng1 Ng8 Nh8 (11)
B:  Kh7 Na2 Na1 Nb8 Nb1 Nc1 Nd1 Nf2 Nf1 Nh6 Nh1 (11)
FEN: Nn1NN1NN/1NN4k/1N5n/8/8/N7/n4nK1/nnnn1nNn w - -
analysing (mate in 12 moves):
#  1      0.00s                 0kN  0.87          1-         0
#  2      0.00s                 0kN  0.99          1-         0
#  3      0.01s                 0kN  0.91         33-         0
#  4      0.01s [  1.00]        0kN  1.00        135-         0
#  5      0.02s [  2.00]        1kN  1.23        311-         0
#  6      0.05s [  2.50]        2kN  1.57        510-         0
#  7      0.07s [  1.40]        5kN  1.99        920-         0
#  8      0.20s [  2.86]       12kN  2.36       2079-         0
#  9      0.57s [  2.85]       42kN  2.65       7038-         0
# 10      2.90s [  5.09]      239kN  2.69      40558-         0
# 11     21.07s [  7.27]     2163kN  2.88     291369-         0
# 12    146.80s [  6.97]    14707kN  3.22    2156634-        94
No solution in 12 moves.

From the refutation table we see, that black is dangerous:
refu  1: Ngf6+   Kxh8    [ 11-]
refu  2: Nef6+   Kxh8    [ 11-]
refu  3: Nhf7    Nde3+   [ 63-]
refu  4: Ng6     Nde3+   [ 63-]
refu  5: Ne7     Nde3+   [ 11-]
refu  6: Nxh6    Nde3+   [ 11-]
refu  7: Ne2     Nde3+   [ 11-]
refu  8: Nf3     Nde3+   [ 63-]
refu  9: Nh3     Nde3+   [ 11-]
refu 10: Ned6    Nde3+   [ 11-]
refu 11: Ng7     Nde3+   [ 63-]
refu 12: Nc6     Nde3+   [ 63-]
refu 13: Nde6    Nde3+   [ 63-]
refu 14: Ndf7    Nde3+   [ 63-]
refu 15: Na6     Nde3+   [ 63-]
refu 16: Ncb5    Nde3+   [ 63-]
refu 17: Ncd5    Nde3+   [ 11-]
refu 18: Nce6    Nde3+   [ 63-]
refu 19: Na5     Nde3+   [ 63-]
refu 20: Nc5     Nde3+   [ 11-]
refu 21: Nbd6    Nde3+   [ 11-]
refu 22: Na4     Nde3+   [ 63-]
refu 23: Nc8     Nde3+   [ 63-]
refu 24: Nbc4    Nde3+   [ 11-]
refu 25: Nd7     Nde3+   [ 63-]
refu 26: Nbd5    Nde3+   [ 11-]
refu 27: Nab5    Nde3+   [ 63-]
refu 28: Nxb1    Nde3+   [ 11-]
refu 29: Nac4    Nde3+   [ 11-]
refu 30: Nc2     Nde3+   [ 11-]
refu 31: Kxf1    Ne3+    [ 63-]
refu 32: Kf3     Nfd2+   [ 11-]

Therefore I searched for a mate for black.  Here is an extract:
After Ng8 - f6  ...
        No solution in 12 moves.

After Ne8 - f6  ...
        No solution in 12 moves.

After Nh8 - f7  ...
        Solution (in 6 moves):
PV: Nfe3+ Kf3 Nd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#
PV: Nde3+ Kf3 Nbd2+ Kf4 Nfd3+ Kg5 Ne4+ Kh5 Nf4+ Kh4 Nhf5#

After Nh8 - g6  ...
        Solution (in 6 moves):
PV: Nfe3+ Kf3 Nd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#
PV: Nde3+ Kf3 Nbd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#

After Ng8 - e7  ...
        Solution (in 6 moves):
PV: Nfe3+ Kf3 Nd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Ng2#
PV: Nde3+ Kf3 Nbd2+ Kf4 Nfd3+ Kg5 Ne4+ Kh5 Nf4+ Kh4 Neg2#

After Ng8 : h6  ...
        Solution (in 6 moves):
PV: Nde3+ Kf3 Nbd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Ng2#

After Ng1 - e2  ...
        Solution (in 6 moves):
PV: Nde3+ Kf3 Ncd3 Ngf6+ Kxh8 Nf7+ Nxf7 Nc3 Nfe5+ Ke2 Nhg3#
PV: Nbd2 Ngf6+ Kxh8 Nf7+ Nxf7 Nfd5 Nfe3+ Nxe3 Nxe3+ Kh2 Nf3#

After Ng1 - f3  ...
        Solution (in 2 moves):
PV: Nde3+ Kg1 Ne2#

After Ng1 - h3  ...
        Solution (in 6 moves):
PV: Nfe3+ Kf3 Nd2+ Kf4 Nfd3+ Kg5 Ne4+ Kh5 Nhg3+ Kh4 Nhf5#
PV: Nde3+ Kf3 Nbd2+ Kf4 Nfd3+ Kg5 Ne4+ Kh5 Nhg3+ Kh4 Nhf5#

After Ne8 - d6  ...
        Solution (in 7 moves):
PV: Nde3+ Kf3 Nbd2+ Kf4 Ncd3+ Kg5 Nfe4+ Nxe4 Nxe4+ Kh5 Nf4+ Kh4 Nhf5#

After Ne8 - g7  ...
        Solution (in 6 moves):
PV: Nfe3+ Kf3 Nd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Ng2#
PV: Nde3+ Kf3 Nbd2+ Kf4 Nfd3+ Kg5 Ne4+ Kh5 Nf4+ Kh4 Neg2#
PV: Nbd2 Nf6+ Kxh8 Nf7+ Nxf7 Nfd5 Nfe3+ Nxe3 Nxe3+ Kh2 Ndf1#

After Nd8 - c6  ...
        Solution (in 5 moves):
PV: Nbd2 Ngf6+ Kxh8 Nfd5 Nfe3+ Nxe3 Nxe3+ Kh2 Nhg4#

After Nd8 - e6  ...
        Solution (in 6 moves):
PV: Nfe3+ Kf3 Nd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#
PV: Nde3+ Kf3 Nbd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#

After Nd8 - f7  ...
        Solution (in 6 moves):
PV: Nfe3+ Kf3 Nd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#
PV: Nde3+ Kf3 Nbd2+ Kf4 Nfd3+ Kg5 Ne4+ Kh5 Nf4+ Kh4 Nhf5#

After Nc7 - a6  ...
        Solution (in 6 moves):
PV: Nfe3+ Kf3 Nd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#
PV: Nde3+ Kf3 Nbd2+ Kf4 Nfd3+ Kg5 Ne4+ Kh5 Nf4+ Kh4 Nhf5#
PV: Nbd2 Ngf6+ Kxh8 Nf7+ Nxf7 Nfd5 Nfe3+ Nxe3 Nxe3+ Kh2 Ndf1#

After Nc7 - b5  ...
        Solution (in 6 moves):
PV: Nfe3+ Kf3 Nd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#
PV: Nde3+ Kf3 Nbd2+ Kf4 Nfd3+ Kg5 Ne4+ Kh5 Nf4+ Kh4 Nhf5#
PV: Nbd2 Ngf6+ Kxh8 Nf7+ Nxf7 Nfd5 Nfe3+ Nxe3 Nxe3+ Kh2 Ndf1#

After Nc7 - d5  ...
        Solution (in 9 moves):
PV: Nbd2 Ngf6+ Kxh8 Nf7+ Nxf7 Ng4 Ncd3 Nxf2 Ne1+ Kh3 Ndxf2+ Kh4 Nhg3 Ne3 Nef3+
Nxf3 Nxf3#

After Nc7 - e6  ...
        Solution (in 6 moves):
PV: Nfe3+ Kf3 Nd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#
PV: Nde3+ Kf3 Nbd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#

After Nb7 - a5  ...
        Solution (in 6 moves):
PV: Nfe3+ Kf3 Nd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#
PV: Nde3+ Kf3 Nbd2+ Kf4 Nfd3+ Kg5 Ne4+ Kh5 Nf4+ Kh4 Nhf5#
PV: Nbd2 Ngf6+ Kxh8 Nf7+ Nxf7 Nfd5 Nfe3+ Nxe3 Nxe3+ Kh2 Ndf1#

After Nb7 - c5  ...
        Solution (in 6 moves):
PV: Nbd2 Ngf6+ Kxh8 Nf7+ Nxf7 Nfd5 Nfe3+ Nxe3 Nxe3+ Kh2 Ndf1#

After Nb7 - d6  ...
        Solution (in 7 moves):
PV: Nde3+ Kf3 Nbd2+ Kf4 Ncd3+ Kg5 Nfe4+ Nxe4 Nxe4+ Kh5 Nf4+ Kh4 Nhf5#

After Nb6 - a4  ...
        Solution (in 6 moves):
PV: Nfe3+ Kf3 Nd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#
PV: Nde3+ Kf3 Nbd2+ Kf4 Nfd3+ Kg5 Ne4+ Kh5 Nf4+ Kh4 Nhf5#
PV: Nbd2 Ngf6+ Kxh8 Nf7+ Nxf7 Nfd5 Nfe3+ Nxe3 Nxe3+ Kh2 Ndf1#

After Nb6 - c8  ...
        Solution (in 6 moves):
PV: Nfe3+ Kf3 Nd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#
PV: Nde3+ Kf3 Nbd2+ Kf4 Nfd3+ Kg5 Ne4+ Kh5 Nf4+ Kh4 Nhf5#
PV: Nbd2 Ngf6+ Kxh8 Nf7+ Nxf7 Nfd5 Nfe3+ Nxe3 Nxe3+ Kh2 Ndf1#

After Nb6 - c4  ...
        No solution in 12 moves.

After Nb6 - d7  ...
        Solution (in 6 moves):
PV: Nfe3+ Kf3 Nd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#
PV: Nde3+ Kf3 Nbd2+ Kf4 Nfd3+ Kg5 Ne4+ Kh5 Nf4+ Kh4 Nhf5#

After Nb6 - d5  ...
        Solution (in 9 moves):
PV: Nbd2 Ngf6+ Kxh8 Nf7+ Nxf7 Ng4 Ncd3 Nxf2 Ne1+ Kh3 Ndxf2+ Kh4 Nhg3 Ne3 Nef3+
Nxf3 Nxf3#

After Na3 - b5  ...
        Solution (in 6 moves):
PV: Nfe3+ Kf3 Nd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#
PV: Nde3+ Kf3 Nbd2+ Kf4 Nfd3+ Kg5 Ne4+ Kh5 Nf4+ Kh4 Nhf5#
PV: Ncd3 Ngf6+ Kxh8 Nf7+ Nxf7 Nfd7 Nfe3+ Kh2 Ne1 Nxb8 Nf1#
PV: Nbd2 Ngf6+ Kxh8 Nf7+ Nxf7 Nfd5 Nfe3+ Nxe3 Nxe3+ Kh2 Ndf1#

After Na3 : b1  ...
        No solution in 12 moves.

After Na3 - c4  ...
        Solution (in 8 moves):
PV: Nc2 Ngf6+ Kxh8 Nf7+ Nxf7 Ne4 Nde3+ Nxe3 Ncxe3+ Kf3 Nfd3 Nc4 Ne1+ Kf4 Ncd3#

After Na3 - c2  ...
        Solution (in 7 moves):
PV: Nbd2 Ngf6+ Kxh8 Nf7+ Nxf7 Nfd5 Nxc2 Nf3 Nfe3+ Nxe3 Ndxe3+ Kh2 Nxf3#
PV: Nxc2 Ngf6+ Kxh8 Nh3 Nfe3+ Kh2 Nd2 Nf7+ Nxf7 Nxf2 Nf3+ Kh3 N7g5#

After Kg2 : f1  ...
        Solution (in 2 moves):
PV: Ne3+ Ke1 Nfd3#

After Kg2 - f3  ...
        Solution (in 5 moves):
PV: Nfd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#
PV: Nbd2+ Kf4 Ncd3+ Kg5 Nde4+ Kh5 Nhg3+ Kh4 Nhf5#

Time (user) = 43197.71 sec (720.0 min) (12.0 hrs)
# 12  43197.71s           3018497kN  3.62  537582084- 528834183

So, 4 out of 32 legal moves white is lost, for the others may be not.
(12 hours on a K7/600 with 350 MB hash).

I have not yet tried the others ;-)
That was fun!
All those knights hunting a king gives some unusual mate patterns, like:
[D]Nn1NN1NN/1NN4k/1N6/5n2/4n2K/N2n2n1/n4n2/nn1n2N1 w - -
(This is from the Kf3-PV)

Cheers,
Heiner



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