[Retros] FW: distance-PG-

[Francois Labelle]

Yoav Ben-Zvi wrote:
>
> To get something new without greater complexity I suggest to exchange 
> the mate condition with e.p. capture:
>
> Shortest sound SPG with e.p. capture that has a)Maximal, b)Minimal 
> distance
>
> My intended solutions are 4.5 moves with distance 12+6*SQRT2=20.485 
> (/9=2.276) for a) and 8+4*SQRT2=13.657 (/9=1.517) for b).
>
> It should be possible to verify (or cook) with the files generated by 
> François.
>

Congratulations, these are the maximal/minimal distances in 4.5 moves. 
The solutions are unique, so you must have found these:
20.485281 = (12,6,0): 1. e4 d5 2. exd5 Kd7 3. Qg4+ Kd6 4. Qb4+ c5 5. dxc6+
13.656854 = (8,4,0): 1. b4 e6 2. Ba3 Ke7 3. Qc1 Kd6 4. b5+ c5 5. bxc6+

> An open-ended version:
>
> Sound SPG with e.p. capture that has a)Maximal b)Minimal average 
> distance per move. My preliminary candidate for a) has 5.0 moves with 
> average distance of 2.755 and for b) my candidate has 5.0 moves with 
> average of 1.124
>

Below are the maximal/minimal distances in 5.0 moves. The solutions are 
unique.

27.556349 = (12,11,0): 1. d4 e5 2. Bh6 exd4 3. Kd2 Qg5+ 4. Kd3 Qb5+ 5. 
c4 dxc3+
12.242641 = (8,3,0): 1. f3 h6 2. Kf2 h5 3. Kg3 h4+ 4. Kh3 d6+ 5. g4 hxg3+

Did you really find something shorter than my computer? (1.124 vs 1.224)

That's everything I have, for e.p. I only have PGs up to 5.0 moves.

     François

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