Daily chess puzzle: Check Mate #331

I flunked this one, playing 1Qe6, although this is easily winning; but 1Qg6!! mates. Strangely, though, 1 Qe6 is Komodo’s first choice, 1 Rh3 its second, and Qg6 is lower: at only +10. Black can if he wishes struggle on and avoid immediate mate against any of these moves (but is dead lost after all of them).

1…Qc2 2Rh3!! 1-0