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Subject: Re: 3 Pawn-Chess. What is the result?

Author: Stuart Cracraft

Date: 14:46:05 08/24/04

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On August 24, 2004 at 17:09:52, George Tsavdaris wrote:

>
> A known variant of Chess (which is actually just a Chess position), is the 3
>Pawn-Chess. It has the following position as the start, and white has the move.
>Does anyone has any idea of what the result must be?
> I think it should be a draw but with all the zugzwangs and tempos i'm not sure
>at all. Can anyone let his superior computer with it's superior engine to run
>some hours to give me some light.........?
>
[D]4k3/5ppp/8/8/8/8/PPP5/3K4 w - - 0 1

Hi -- the machine is used constantly but here's a briefer search.
Looks very drawish. The score starts at merely a tempo for white
and then lessens from there. I doubt any program without EGTB is
going to be able to see far enough to make a big difference on this
one. There are too many pieces on the board.. If you simplify to 2-pawn
chess by removing the innermost pawns on the c file and f file much
the same happens.

3-pawn

 2/ 3  d1d2  0.01    0       70 d1d2 e8e7
 3/ 4  d1d2  0.01    0      324 d1d2 e8e7 d2c3
 4/ 5  d1d2  0.01    0      782 d1d2 e8e7 d2c3 e7d7
 5/ 9  d1d2  0.02   24     2371 d1d2 e8e7 d2c3 e7d7 c3d4
 6/10  d1d2  0.04   24     6264 d1d2 e8e7 d2e3 e7d7 e3e4 d7c6
 7/11  d1d2  0.06   24    13326 d1d2 e8e7 d2e3 e7d7 e3e4 d7c6 a2a3
 8/12  d1d2  0.09   24    25746 d1d2 e8e7 d2e3 e7d7 e3e4 d7c6 e4d4 c6b5 a2a3
 9/13  d1d2  0.16   24    49956 d1d2 e8e7 d2e3 e7d7 e3e4 d7c6 e4d4 c6b5 a2a3
10/15  d1d2  0.29   24    97015 d1d2 e8e7 d2e3 e7d7 e3e4 d7c6 e4d4 c6b5 a2a3 g7g
6 b2b3
11/17  d1d2  0.50   24   172060 d1d2 e8e7 d2e3 e7d7 e3e4 d7c6 e4d4 c6b5 a2a3 g7g
6 b2b3
12/17  d1d2  1.00   24   362180 d1d2 e8e7 d2e3 e7d7 e3e4 d7c6 e4d4 c6b5 a2a3 g7g
6 b2b3 h7h6 d4d5
13/20  d1d2  1.73   24   633913 d1d2 e8e7 d2e3 e7d7 e3e4 d7c6 e4d4 c6b5 a2a3 g7g
6 b2b3 h7h6 d4d5
14/22  d1d2  3.92   24  1333828 d1d2 e8e7 d2e3 e7d7 e3e4 d7c6 e4d4 c6b5 a2a3 g7g
6 b2b3 h7h6 d4d5 h6h5
15/23  d1d2  7.82   24  2771957 d1d2 e8e7 d2e3 e7d7 e3e4 d7c6 e4d4 c6b5 a2a3 g7g
6 b2b3 h7h6 d4d5 h6h5 d5e5 h5h4 e5d5
16/27  d1d2 51.65   13 14141348 d1d2 e8e7 d2e3 e7f6 e3e4 h7h5 a2a3 g7g5 e4d4 h5h
4 d4e4 h4h3 e4f3 f6f5 f3g3
17/29  d1d2 132.04   13 33506019 d1d2 e8e7 d2e3 e7f6 e3e4 h7h5 a2a3 g7g5 e4d4 h5
h4 d4e4 h4h3 e4f3 f6f5

2-pawn

 2/ 3  d1d2  0.01    0       63 d1d2 e8e7
 3/ 4  d1d2  0.01    0      274 d1d2 e8e7 a2a3
 4/ 5  d1d2  0.01    0      645 d1d2 e8e7 a2a3 h7h5
 5/ 6  d1d2  0.02   25     1993 d1d2 e8e7 d2c3 h7h5 c3d4
 6/ 7  d1d2  0.03   25     4998 d1d2 e8e7 d2d3 h7h5 d3e4 e7f6
 7/ 8  d1d2  0.05   25     9478 d1d2 e8e7 d2d3 h7h5 d3e4 e7f6 a2a3
 8/10  d1d2  0.07   25    17316 d1d2 e8e7 d2d3 h7h5 d3e4 e7f6 a2a3 h5h4
 9/13  d1d2  0.11   25    34419 d1d2 e8e7 d2d3 h7h5 d3e4 e7f6 a2a3 h5h4 b2b3
10/14  d1d2  0.20   25    64562 d1d2 e8e7 d2d3 h7h5 d3e4 e7f6 a2a3 h5h4 b2b3 f6e
7
11/15  d1d2  0.34   25   126891 d1d2 e8e7 d2d3 h7h5 d3e4 e7f6 a2a3 h5h4 b2b3 f6e
7 a3a4
12/16  d1d2  0.56   25   208874 d1d2 e8e7 d2d3 h7h5 d3e4 e7f6 a2a3 h5h4 b2b3 f6e
7 a3a4 e7f6
13/19  d1d2  1.16   25   461550 d1d2 e8e7 d2d3 h7h5 d3e4 e7f6 a2a3 f6e7 b2b3 e7f
6 a3a4 h5h4 e4d5 f6f5
14/21  d1d2  2.01   25   755905 d1d2 e8e7 d2d3 h7h5 d3e4 e7f6 a2a3 f6e7 b2b3 e7f
6 a3a4 f6e7 e4d5 e7f6 d5e4 f6e7 e4d5 e7f6 d5e4
15/23  d1d2  5.01   25  1848587 d1d2 e8e7 d2d3 e7f6 d3e4 g7g6 a2a3 h7h5 b2b3 f6e
7 a3a4 e7f6 a4a5 f6e7 e4d5 e7f6
16/26  d1d2 11.49   13  3826928 d1d2 e8e7 d2d3 e7f6 d3e4 h7h5 a2a4 g7g5 b2b3 h5h
4 a4a5 h4h3 e4f3 f6f5
17/33  d1d2 40.32   13 12692489 d1d2 e8e7 d2d3 e7e6 d3e4 e6f6 a2a3 h7h5 b2b3 g7g
5 a3a4 h5h4 a4a5 h4h3 e4f3 g5g4
18/35  d1d2 99.77   13 29078049 d1d2 e8e7 d2d3 e7e6 d3e4 e6f6 e4f4 f6e6 f4e4 e6f
6 e4f4 f6e6 f4e4

with one-pawn, fairly flat as well:

16/22  d1e2  2.50    0   748143 d1e2 e8d7 e2e3 d7c6 e3f4 c6c5 f4g5 c5b4 g5h6 b4a
3 h6h7 a3a2 h7g6 a2b3 g6f5 b3c4
17/24  d1e2  4.88   17  1409145 d1e2 e8d7 e2e3 d7c6 e3f4 c6c5 f4g5 c5b4 g5h6 b4a
3 h6h7 a3a2 h7g6 a2b3 g6f5 b3c4 f5e5
18/27  d1e2  6.07   17  1751617 d1e2 e8d7 e2e3 d7c6 e3f4 c6c5 f4g5 c5b4 g5h6 b4a
3 h6h7 a3a2 h7g6 a2b3 g6f5 b3c4 f5e5 c4c5
19/30  d1e2  8.40   17  2627743 d1e2 e8d7 e2e3 d7c6 e3f4 c6c5 f4g5 c5b4 g5h6 b4a
3 h6h7 a3a2 h7g6 a2b3 g6f5 b3c4 f5e5 c4c5 e5e4
20/32  d1e2 10.31   17  3095052 d1e2 e8d7 e2e3 d7c6 e3f4 c6c5 f4g5 c5b4 g5h6 b4a
3 h6h7 a3a2 h7g6 a2b3 g6f5 b3c4 f5e5 c4c5 e5e4 c5c4 e4e5 c4c5 e5e4 c5c4 e4e5
21/36  d1e2 13.24   17  3987444 d1e2 e8d7 e2e3 d7c6 e3f4 c6c5 f4g5 c5b4 g5h6 b4a
3 h6h7 a3a2 h7g6 a2b3 g6f5 b3c4 f5e5 c4c5 e5e4 c5c4 e4e5 c4c5 e5e4 c5c4 e4e5
22/38  d1e2 16.52   17  5142461 d1e2 e8d7 e2e3 d7c6 e3f4 c6c5 f4g5 c5b4 g5h6 b4a
3 h6h7 a3a2 h7g6 a2b3 g6f5 b3c4 f5e5 c4c5 e5e4 c5c4 e4e5 c4c5 e5e4 c5c4 e4e5
23/38  d1e2 24.96   17  7235920 d1e2 e8d7 e2e3 d7c6 e3f4 c6c5 f4g5 c5b4 g5h6 b4a
3 h6h7 a3a2 h7g6 a2b3 g6f5 b3c4 f5e5 c4c5 e5e4 c5c4 e4e5 c4c5 e5e4 c5c4 e4e5
24/40  d1e2 31.88   17  9500574 d1e2 e8d7 e2e3 d7c6 e3f4 c6c5 f4g5 c5b4 g5h6 b4a
3 h6h7 a3a2 h7g6 a2b3 g6f5 b3c4 f5e5 c4c5 e5e4 c5c4 e4e5 c4c5 e5e4 c5c4 e4e5
25/40  d1e2 46.61   17 13425254 d1e2 e8d7 e2e3 d7c6 e3f4 c6c5 f4g5 c5b4 g5h6 b4a
3 h6h7 a3a2 h7g6 a2b3 g6f5 b3c4 f5e5 c4c5 e5e4 c5c4 e4e5 c4c5 e5e4 c5c4 e4e5
26/42  d1e2 77.81   17 22621972 d1e2 e8d7 e2e3 d7c6 e3f4 c6c5 f4g5 c5b4 g5h6 b4a
3 h6h7 a3a2 h7g6 a2b3 g6f5 b3c4 f5e5 c4c5 e5e4 c5c4 e4e5 c4c5 e5e4 c5c4 e4e5
27/44  d1e2 160.90   17 43187078 d1e2 e8d7 e2e3 d7c6 e3f4 c6c5 f4g5 c5b4 g5h6 b4
a3 h6h7 a3a2 h7g6 a2b3 g6f5 b3c4 f5e5 c4c5 e5e4 c5c4 e4e5 c4c5 e5e4 c5c4 e4e5


Someone with tablebases (or some extremely good K+P rules) added on to their
program will need to search this one and can come up with an answer.

Stuart






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