[Retros] Two SPG's from Paul Monsky

[Nicolas.Dupont at math.univ-lille1.fr]

Hi Noam,


>   rnbqk3/ppppb1p1/4p3/8/8/1BP1P3/PPQPNn1P/R1BKNr1R  (S)PG-12.0


6600 solutions. The expected one is surely

1.Pe2-e3   Pf7-f5   2.Ff1-d3   Pf5-f4   3.Fd3xh7   Pf4-f3
4.Fh7xg8   Pf3xg2   5.Fg8-b3   Pe7-e6   6.Cb1-c3   Ff8-e7
7.Cc3-e2   Th8-f8   8.Pc2-c3   Tf8xf2   9.Cg1-f3   Pg2-g1=C
10.Dd1-c2   Cg1-h3   11.Re1-d1   Tf2-f1   12.Cf3-e1   Ch3-f2

as this is the only one without any dual. Here is a cooking line :

1.Cb1-c3   Pe7-e6   2.Pe2-e3   Pf7-f5   3.Ff1-c4   Ph7-h5
4.Fc4-b3   Th8-h6   5.Dd1xh5   Th6-g6   6.Cg1-f3   Cg8-f6
7.Cc3-e2   Ff8-e7   8.Dh5xf5   Tg6xg2   9.Pc2-c3   Cf6-g4
10.Re1-d1   Tg2-g1   11.Cf3-e1   Tg1-f1   12.Df5-c2   Cg4xf2



>   1nb2b1r/2pnpkrp/2p5/8/2p4q/2p5/2p4P/5KRR  (S)PG-22.0moves)


More than 10000 solutions, eg

1.Cb1-a3   Pb7-b5   2.Ca3-c4   Cg8-f6   3.Cc4-b6   Pa7xb6
4.Pb2-b4   Ta8xa2   5.Pc2-c4   Pb5xc4   6.Pd2-d4   Pg7-g5
7.Pe2-e4   Ta2xf2   8.Pe4-e5   Tf2xg2   9.Pe5-e6   Pf7xe6
10.Fc1xg5   Re8-f7   11.Fg5-e3   Tg2-g7   12.Pd4-d5   Pe6xd5
13.Fe3-c5   Pb6xc5   14.Cg1-e2   Pc5xb4   15.Ce2-c3   Pb4xc3
16.Ff1-g2   Pc3-c2   17.Dd1-d3   Pc4-c3   18.Dd3-c4   Pd5xc4
19.Fg2-c6   Pd7xc6   20.Re1-e2   Dd8-d4   21.Ta1-g1   Dd4-h4
22.Re2-f1   Cf6-d7

If the intention is to build a column of pawns, the task has been
completely achieved (by myself) :

1.Ph2-h4   Pg7-g5   2.Ph4xg5   Cg8-f6   3.Pg5xf6   Ff8-h6
4.Pf6xe7   Fh6-e3   5.Pd2xe3   Pb7-b5   6.Dd1-d6   Pb5-b4
7.Dd6-g3   Pb4-b3   8.Pa2xb3   Pc7-c5   9.Ta1-a4   Pc5-c4
10.Pb3xc4   Pd7-d5   11.Pc4xd5   Fc8-e6   12.Pd5xe6   Dd8-d5
13.Ta4-h4   Dd5-f3   14.Pg2xf3   Th8-g8   15.Ff1-g2   Tg8-g4
16.Re1-f1   Tg4-e4   17.Pf3xe4   Pa7-a5   18.Pf2-f4   Pa5-a4
19.Cg1-f3   Ta8-a5   20.Th1-g1   Ta5-e5   21.Pf4xe5


> He also asks whether quintupled (or sextupled!) pawns have already been

> shown in a sound proof game.


I suppose that you are speaking of promoted pawns. Look at that 
extraordinary pg by Michel Caillaud :

1.d4 h5 2.d5 h4 3.d6 h3 4.d×ç7 h×g2 5.h4 a5 6.h5 a4 7.h6 a3 8.h7 a×b2
9.h×g8=T Th4 10.a4 Tg4 11.Thh8 Ta5 12.Ch3 Th5 13.a5 d5 14.a6 d4 15.a7 Dd5
16.a8=T Cd7 17.Tb8 g1=F 18.Taa8 Fh2 19.Ca3 b1=T 20.é4 Tb6 21.é5 Tbh6
22.é6 Cb6 23.é×f7+ Rd7 24.ç4 é5 25.ç5 Fd6 26.f8=T é4 27.Té8 Fdg3
28.ç6+ Rd6 29.Fb5 Fé6 30.ç8=T é3 31.ç7 é2 32.Fd7 é×d1=F 33.Rf1 d3
34.f4 d2 35.f5 d×ç1=D 36.f6 Dé3 37.f7 Fa4 38.f8=T Ff7 39.Tçd8 Déé6
40.ç8=T Fb5+ 41.Cç4+

Cheers,

Nicolas.