[Retros] Massacre PGs
Francois Labelle
flab at EECS.Berkeley.EDU
Fri Feb 13 17:58:16 EST 2004
paul raican wrote:
> Is this a valid "massacre at home" PG?(after Wilts & Geissler)
>
> ke1 ra1 pa2 - ke8 ra8
> (3+2) PG in 18
At ply 31, x=4, there are 229895 positions. That's a lot of positions with
5 pieces on the board to choose from. 10 of them are just 2 plies away
from your position:
1r2k3/8/8/8/8/8/P7/3RK3 (5 ways)
1r2k3/8/8/8/8/8/P7/R2K4 (5 ways)
1r2k3/8/8/8/8/8/P4K2/R7 (116 ways)
1r2k3/8/8/8/8/8/P2K4/R7 (36 ways)
r7/4k3/8/8/8/8/P2K4/R7 (2236 ways)
3rk3/8/8/8/8/8/P3K3/R7 (36 ways)
1r2k3/8/8/8/8/8/P3K3/R7 (1510 ways)
1r2k3/8/8/8/8/8/P7/1R2K3 (21 ways)
r7/4k3/8/8/8/8/P7/2R1K3 (48 ways)
r2k4/8/8/8/8/8/P7/2R1K3 (15 ways)
Which means that there are at least 4028 ways to reach your position in
just 16.5 moves.
Francois
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