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RE: Chess problem 44 / Schachaufgabe 44
Nd8 seems to be the most promising but I still don't see a clear win. For example,
Nd8, Qxa2
Nxc6+, Kd5
Nb4+, Ke5
From here white can force a perpetual check using Nb4 and Nc6 squares and black shuffles between d5 and e5. (Ke6 loses to Qe4+, Re5, Nxd4+, Bxd4, Qc6#)
The other option is to take the black queen but that exceeds 5 moves.
White can win! :)
Think harder!! :-)