[Retros] "half" proof games

[Noam Elkies]

> Noam Elkies:

> 1 f3 ... 2 g4 ... 3 fxe4 ...#, [1 SOLUTION]

> 1 g3 ... 2 Bh3 ... 3 B:e6 ... 4 f4 ...#  [0 SOLUTIONS]

> 1 d3 ... 2 Bd2 ... 3 Ba5 ... 4 Bxd8 ... 5 Qc1 ...#. [1 SOLUTION]


Oops -- the intention for the second of these was
1 g3 e6 2 Bh3 Qh4 3 B:e6 Q:h2 4 f4 Q:g3#, but with Bf1
away from home this is not checkmate!


> Richard Stanley:

> 1.g4 ...    2.gh5 ... 3.hg6 ... 4.g7 ... 5.gh8Q+ ...

> 6.Qxg8+ ... 7.Qxf8+ ... 8.d3 ... 9.Bd2 ... 10.Ba5 ...

> 11.B6d8 ... 12.Qc1 ...#   [481 SOLUTIONS]


This is strange -- perhaps a result of the typo "11.B6d8"
which should have been 11.Bxd8?  The intention was surely

1 g4 h5 2 gh5 g6 3 hg6 Bh6 4 g7 Nf6 5 gh8Q+ Ng8 6 Qxg8+ Bf8
7 Qxf8+ K:f8 8 d3 c5 9 Bd2 c4 10 Ba5 c3 11 Bxd8 cb2 12 Qc1 dxc1Q#


> Noam Elkies:

> 1 e4 ... 2 Q:h5 ... 3 Q:g6 ... 4 Q:f6 ... 5 Q:e5+ ... 6 Q:h8+ ...

> 7 Qe5+ ... 8 Qh8+ ... 9 Qe5+ ...  10 d3 ... 11 Kd2 ... 12 Kc3 ...

> 13 Q:h5 ...# [3620696 SOLUTIONS]


Almost 10! solutions!?  Oh dear, what have I done wrong?
The first 8 Black moves seem to be forced: 1 e4 h5 2 Q:h5 g6
3 Q:g6 Nf6 4 Q:f6 e5 5 Q:e5+ Be7 6 Q:h8+ Bf8 7 Qe5+ Be7 8 Qh8+ Bf8,
and then my intention was 9 Qe5+ Qe7 10 d3 d5 11 Kd2 Bg4 12 Kc3 Bh5
13 Q:h5 Qb4#.  Where are all the cooks coming from?

NDE