[Retros] At Home SPGs, and more

[Joost de Heer]

> I don't know: my program doesn't give me the solutions, and I'm not very

> good at solving SPGs! So please find the two solutions by hand (it should

> be fun) and check if they're independent enough.


Only one acceptable double-solution proofgame in both 8 and 9 halfmoves:

rnbqkbnr/pp1ppppp/8/8/8/8/PPP1PPPP/RN1QKBNR
SPG 4.0 (2 solutions)

1. d4 Nc6 2. Bf4 Nd4 3. Bc7 Nc6 4. Bb8 Nb8
1. d4 c5 2. Bh6 cd4 3. Qd4 Nh6 4. Qd1 Ng8

These two solutions are distinct enough to be acceptable. A pity is the repeated first move.

r1bqkbnr/pp1ppppp/8/8/8/8/PPP1PPPP/RN1QKBNR
SPG 4.5 (2 solutions)

1. d4 Nc6 2. Bc4 Nd4 3. Bc7 Qc7 4. Qd4 Qd8 5. Qd1
1. d4 c5 2. Bf4 cd4 3. Bb8 Rb8 4. Qd4 Ra8 5. Qd1

These two are somewhat interesting, because there are two different black switchbacks, but the play is too repetetive to be 'publishable'.

Joost
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