(12x14) rn1qk2r - 1pp1pp1p - 2p5 - 4p3 - 8 - PP4P1 - b1PPPPP1 - nN2KBN1
a) What was white Queen's Rook first move?
b) What was white Queen's Rook last move?
Solution:
The black 
s have captured 3 pieces on c6, e5 and f6. The
pieces captured were 
, 
and the 
from h1 (not from a1 becose this one never got out). To the
h1 go out (and to be captured), white must moves h2xg3 but
there's no black pieces to capture becose all are locked yet. In other case,
to the c1 go out, white must moves b2-b3 and the black already on a2. Hence the black band must moves d7xc6 before but
all white pieces are locked too.
In fact, the a2 is not from c8 but a promoted man. The
promoting black came from a7 and made one capture on b2.
The piece captured was the white from a1.
When black moved a3xb2, the white from a2
stands at home and the white from b2 stands on b3.
Therefore, the 's last move was b1-b2.
The black 
a1 came from b3 before de white's move b2-b3 and
the original from a1 goes out to b1 (not c1 becose the
c1 is locked yet by the b2). Therefore, the
's first move was a1-b1.
Proof game:
1 c3, f6; 2 b1, e4; 3 c3, c5; 4 b1, b3; 5 e4, a1; 6 b3, a5; 7 b2, a4; 8 f6,
gf6; 9 c1, h6; 10 b2, f4; 11 e5, g3; 12 hg3, fe5;
13 h6, a3; 14 c6, dc6; 15 b2, g4; 16 c3, f3; 17 f3, ab2; 18 a3, b1=;
19 g1, a2; 20 b1