{}
a)
1. f5*e6 ep.! g2*f1=Q 2.Rf4-f8# {The white pawn structure
requires 7 captures. Black's g2-pawn has captured, which requires the promotion
of White's "a" pawn to b8 after a6xb7, i.e. an 8th White capture.
white "a" pawn to b8 after a6xb7, i.e. an 8th white capture. But the last
move could not be ...h3xg2, which would force White to make two more
captures because a pawn comes from h2. The only remaining Black move is either .
...c7-c5, or ...e7-e5. Suppose it was ...c7-c5. Then the Fb8 comes
from promotion. The original Fc1 must have been captured by the pawn currently on
g2, which is impossible, the capture having been made on a white square (the Pg3
comes from g2). Remains ...e7-e5. This condemns the Ff8, but it is not annoying,
there remain 8 black units, including the "d" and "f" pawns captured on their file,
the Pg2 coming naturally from h7. The last move was therefore ...e7-e5.}
b) wPf2-->g4 {pf2-->g4}
1. b5*c6 ep. ! e5*f4 2.Qb4-f8# {In comparison with the
twin (see analysis), there is an extra white move (so in total
9 counting axb7), so that Bf8 had to participate. The last move
could not be ...e7-e5. On the other hand, ...c7-c5 could (and should) have been the last move, as the
Bb8 coming from promotion, because the original Bc1 could be captured by ...
h4xg3: the g3-pawn comes from f2 (f3 from e2, g4 from g2). So there was ...hxg3-g2
then f2xg3 and h3-h4-h7.}
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