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Subject: Re: how to evaluate KRP vs KR (Diagram) Draw

Author: Tord Romstad

Date: 09:26:34 06/05/04

Go up one level in this thread


On June 05, 2004 at 12:14:03, Uri Blass wrote:

>On June 05, 2004 at 10:59:22, Kurt Utzinger wrote:
>
>>On June 05, 2004 at 10:53:14, Kurt Utzinger wrote:
>>
>>>On June 05, 2004 at 10:30:48, Daniel Shawul wrote:
>>>
>>>>Hi
>>>>
>>>>My engine lost against Gothmog after playing Rg3?? in this position
>>>>
>>>[D]8/8/8/4k1K1/6R1/8/5rp1/8 w - - 0 1
>>>>
>>>>The position is in the 5 man TB but i don't have it yet.
>>>>DanChess searched to a depth of 18 and still can't solve this position.
>>>>What is the general guideline to evaluate this position? Should rook
>>>>pawn endgames(with more than one pawn in general) be evaluated differently?
>>>>
>>>>best
>>>>daniel
>>
>>     There is no need to have tablebases here. Some endgame
>>     knowledge would do the same. It's of course dead draw
>>     as black's king will never be able to support its
>>     pawn. The only thing for White is to keep its rook
>>     where it is and to play Kg6/Kg5 and so on.
>>     Kurt
>
>
>Some search can also do the same without lot of knowledge
>
>Here is some analysis of latest movei
>
>13 -176 4205 10834368 g4g3 f2f8 g5h6 f8h8 h6g7 h8h2 g3g4 e5f5 g4g3 f5f4 g3g6 f4
>f3 g7f6
>14 -228 7728 19816754 g4g3 f2f8 g5h6 f8h8 h6g7 h8h2 g3g4 e5f5 g4g3 f5f4 g3g6 f4
>e3 g6e6 e3f3 e6e1 f3f2
>14 -227 10356 26656758 g5g6
>14 -198 29157 71570225 g5g6
>14 -175 52458 125280528 g5g6 f2e2 g6g5 e2c2 g4g3 c2c8 g5h6 c8h8 h6g7 h8h2 g3g4
>e5f5 g4g6 f5f4 g7f6
>14 -175 52507 125405519 g5g6 f2e2 g6g5 e2c2 g4g3 c2c8 g5h6 c8h8 h6g7 h8h2 g3g4
>e5f5 g4g6 f5f4 g7f6

Some search is enough to find the right moves, but it is not enough to see that
the
position is a draw.  If I understand the output correctly, Movei still thinks
that black
has a winning advantage.  A program with a good KRPKR eval would be able to see
that this position was drawn many moves in advance, and try to simplify to this
position if it was trying to defend a difficult position in a more complicated
endgame.

Gothmog also doesn't do a very good job here, and thinks black is ahead by 0.91
(analysis on my slow old Macintosh PowerBook G4 550 MHz):

 1       -0.81     0.00         34 Kh4
 2       -0.81     0.00         95 Kh4
 3       -0.81     0.01        234 Kh4 Rf4
 4       -0.84     0.14       1109 Kh5
 5       -0.81     0.23       4606 Kh5
 6    >= -0.81     0.41       9330 Kg6
 6    <= -0.81     0.43      10431 Kg6
 6       -0.81     0.44      10431 Kg6
 7    >= -0.81     0.65      20173 Kg6
 7    <= -0.81     0.89      33415 Kg6
 7       -0.81     0.90      33415 Kg6
 8    <= -0.84     0.96      39669 Kg6 Re2 Kh5 Kf5 Rg7 g1Q Rxg1 Rh2#
 8    >= -0.84     0.98      40780 Kg6 Re2 Kh5 Kf5 Rg5+ Kf4 Kh4
 8       -0.84     0.98      40780 Kg6 Re2 Kh5 Kf5 Rg5+ Kf4 Kh4
 9    >= -0.84     1.21      57644 Kg6 Re2 Kg5 Rd2 Kh4
 9    <= -0.84     1.31      68268 Kg6 Re2 Kg5 Rd2 Kh4
 9       -0.84     1.40      68268 Kg6 Re2 Kg5 Rd2 Kh4
10    <= -0.88     1.85     109864 Kg6 Rd2 Kh5 Kf5 Rg5+ Kf4 Kh4 Rf2 Rg6 g1Q
                                   Rxg1 Rh2#
10    <= -0.91     1.94     120455 Kg6 Rd2 Kh5 Kf5 Rg5+ Kf4 Kh4 g1Q Rxg1 Rh2#
10    >= -0.94     2.20     142608 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
10    >= -0.91     2.22     143571 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
10       -0.91     2.22     143571 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
11    >= -0.91     2.99     235087 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
11    <= -0.91     3.30     254172 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
11       -0.91     3.30     254172 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
12    >= -0.91     4.38     390188 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
12    <= -0.91     4.66     410197 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
12       -0.91     4.67     410197 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
13    >= -0.91     6.60     662218 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
13    <= -0.91     7.03     698234 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
13       -0.91     7.04     698234 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
14    >= -0.91    10.38    1156974 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
14    <= -0.91    10.98    1215225 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
14       -0.91    10.99    1215225 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
15    >= -0.91    15.96    1904395 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
15    <= -0.91    16.68    1980870 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
15       -0.91    16.69    1980870 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
16    >= -0.91    24.82    3107828 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6
16    <= -0.91    26.09    3244560 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6 Rh8
                                   Kg7
16       -0.91    26.10    3244560 Kg6 Rd2 Kg5 Rd8 Kh6 Rh8+ Kg7 Rh2 Kg6 Rh8
                                   Kg7

Tord



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