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Why not 1:Q;d3, then 1:R;xd3,2:R;e8,2:Rxe8,3:Rxe8 and checkmate?????
Yes if 1. Qxd3 then 1...Qg2#, but even if black didn't have checkmate black would not be forced to capture the queen with 1...Rxd3. Just 1...Nxe7 and black has an easy win, even if there was no mate threat by black afterwards.
With black threatening mate in one that can't be defended with defense alone white must keep checking to avoid being checkmated. 1. Qxd3 is not a check and not forcing enough, allowing black options other than defending the king.
today's puzzle two knights classical mate no calculation required for such easy mate in two
I found an interesting chess puzzle game for iphones
you can find it through following list
this is really a great one. i liked it