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Subject: Re: Transposition into won endgame

Author: Dieter Buerssner

Date: 15:52:48 01/30/04

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On January 30, 2004 at 18:35:50, Ed Trice wrote:

>Just think with the King + 2 pawn vs. King + 2  pawn 6 piece tablebased probed
>in RAM, this would be solved with a 4-ply search, maybe even sooner because of
>check/capture extensions!

But this would need over 400 MB RAM (assuming W/D/L TB, not compressed in memory
- compressed it wouldn't be that fast anymore). My estimation (without ep, also
without the Nalimov "unblockable check" trick):

 1812*48*47*46*45/(4*5) bytes

I can show a result with KPPKP W/D/L in RAM (18 MB uncompressed per side):


    948015   1.398   1.36  7t  46.Qd6+ Kh5 47.Qd5 Qf1+ 48.Kc2 Qe2+ 49.Kb3 Kg5
                               50.Ka2 Qc4+ 51.Qxc4 bxc4 {80}
    981040   1.437   1.38  7t+ 46.Qf6+ Qxf6 47.exf6 a5 48.Kd4 Kf7 49.Kd5 Ke8
                               50.b4 axb4 {0}
    981318   1.438   1.77  7++ 46.Qf6+ Qxf6 47.exf6 Kf7 48.Kd4 Ke6 49.Kc5 a5
                               50.b4 a4H {80}
    982341   1.439   2.80  7++ 46.Qf6+ Qxf6 47.exf6 Kf7 48.Kd4 Kf8 49.Kc5 Kg8
                               50.Kb6 b4 51.axb4 {160}
    986824   1.444   3.05  7t  46.Qf6+ Qxf6 47.exf6 Kf7 48.Kd4 Kf8 49.f7 a5
                               50.Kc5 b4H 51.axb4H {160}
   1019844   1.486   3.05  7.  46.Qf6+ Qxf6 47.exf6 Kf7 48.Kd4 Kf8 49.f7 a5
                               50.Kc5 b4 51.axb4 {160}
   1023957   1.510   3.47  8++ 46.Qf6+ Qxf6 47.exf6 Kf7 48.Kd4 Ke8 49.f7+ Kf8
                               50.Kc5 b4 51.Kxb4 Ke7 {160}
   1029354   1.550   4.38  8t  46.Qf6+ Qxf6 47.exf6 Kf7 48.Kd4 a5 49.b4 a4
                               50.Kc5H Ke8H 51.f7+H Kf8H 52.Kxb5H {160}
   1105462   1.664   4.38  8.  46.Qf6+ Qxf6 47.exf6 Kf7 48.Kd4 a5 49.b4 a4
                               50.Kc5 Ke8 51.f7+ Kf8 52.Kxb5 {160}
   1117367   1.679   4.78  9++ 46.Qf6+ Qxf6 47.exf6 Kf7 48.b4 Ke8 49.Kd4 Kf7
                               50.Kc5 a5 51.bxa5 Ke6H {160}
   1118831   1.681   5.88  9++ 46.Qf6+ Qxf6 47.exf6 Kh7 48.Kd4 b4H 49.axb4H
                               Kg8H 50.b5H a5H 51.f7+H Kf8H 52.b6H {160}
   1143324   1.729   8.00  9t  46.Qf6+ Qxf6 47.exf6 Kh7 48.Kd4 Kh6H 49.f7H
                               Kg7H 50.f8=Q+H Kxf8H 51.Kc5H Kf7H 52.Kb6H Ke8H
                               53.Kxa6H {HT} {80}
   1302017   2.013   8.00  9.  46.Qf6+ Qxf6 47.exf6 Kh7 48.Kd4 Kh6 49.f7 Kg7
                               50.f8=Q+ Kxf8 51.Kc5 Kf7 52.Kb6 Ke8 53.Kxa6
                               {HT} {80}
   1338249   2.349   8.00 10t  46.Qf6+ Qxf6 47.exf6 Kf7 48.b4 Kxf6 49.Kd4H
                               Ke7H 50.Kc5H Ke8H 51.Kb6H a5H 52.bxa5H {HT} {80}
   1742657   3.124   8.00 10.  46.Qf6+ Qxf6 47.exf6 Kf7 48.b4 Kxf6 49.Kd4 Ke7
                               50.Kc5 Ke8 51.Kb6 a5 52.bxa5 {HT} {80}
   1756196   3.161   8.64 11++ 46.Qf6+ Qxf6 47.exf6 Kf7 48.b4 a5 49.bxa5 Ke8
                               50.Kd2 b4 51.axb4 Kd8 52.f7 Ke7 53.f8=Q+ Kxf8
                               {160}
   1760123   3.165   9.64 11++ 46.Qf6+ Qxf6 47.exf6 Kf7 48.b4 a5 49.bxa5 Kf8
                               50.f7 b4 51.axb4 Kxf7 52.a6 Kf6 53.a7 Ke5 {160}
   3111783   5.052  10.00 11t  46.Qf6+ Qxf6 47.exf6 a5 48.f7 Kxf7 49.Kd4 a4
                               50.Kc5 Ke8 51.Kb6H Kf8H 52.Kc5H b4H {0}
   4260167   7.532  10.00 11.  46.Qf6+ Qxf6 47.exf6 a5 48.f7 Kxf7 49.Kd4 a4
                               50.Kc5 Ke8 51.Kb6 Kf8 52.Kc5 b4 {0}
   4370797  15.589  10.00 12t  46.Qf6+ Qxf6 47.exf6 Kf7 48.Kd4 a5 49.Kc5 b4
                               50.Kb5 Ke6 51.f7 Kxf7 52.axb4 a4 53.Kb6H Ke8H
                               {80}
   9648635  24.968  10.00 12.  46.Qf6+ Qxf6 47.exf6 Kf7 48.Kd4 a5 49.Kc5 b4
                               50.Kb5 Ke6 51.f7 Kxf7 52.axb4 a4 53.Kb6 Ke8 {80}
   9759696  25.992  10.00 13t  46.Qf6+ Qxf6 47.exf6 Kf7 48.Kd4 a5 49.Kc5 b4
                               50.Kb5 Ke6 51.f7 Kxf7 52.axb4 a4 {INTREC}
                               53.Kc5 Ke8 54.b5! Ke7! 55.b6 Kd7! 56.Kd5! Kd8!
                               57.Kd6! Kc8! 58.Kc6! Kd8! 59.b7! Ke7! 60.b8=Q
                               a3! 61.Qe5+ Kf7 62.bxa3! Kg8 63.Qg5+ Kh8 64.Kd6
                               Kh7 65.Ke6 Kh8 66.Kf6 Kh7 67.Qg7#! {1081}


Regards,
Dieter



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