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George Duke wrote on Fri, Jul 24, 2009 12:11 AM UTC:
[Try the Smullyan retrograde 19.July] Congratulations to Joe Joyce for Jack of Spades 23.July. The other one 23.July close try. 
 But here's the deal:
8  __ __ __ __ __ __ __ On b3 as Joyce experiments, how could King be
7  __ __ __ __ __ __ __ in double check by the last move of Black? In
6  __ __ __ __ __ __ __ two words, IM-POSSIBLE, except one way.
5  __BR_ __ __ __ __ __  [Retrograde analysis of which T. R. Dawson has
4 WB bp_ __ __ __ __ __  thousands in heyday of modest CVs 1910-1950]
3  __WK_ __ __ _BB__ __  What must have happened is ...Bishop -d5 check.
2  __ _wp__ __ __ __ __  2. Pawn c2-c4; Pawn b4xc3 (en passant) double
1  __ __ _BK__ __ __ __  check (!)    3. King b3xc3...
  a  b  c  d  e  f  g  h   So King should be put back on c3, and Black's
                           move now.  If King goes to -a3 in Joyce's scenario, we would still have to be seeing the black pawn on c3. So he must have taken on c3. [Maybe White knocked it off on purpose thinking the only way he is going to win is on time.]