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Qf5
(a) 1.Qf5+ Kg7 2.Rd7+ Qxd7 ( 2. …Nxd7?? 3.Qf7# ) 3.exd7 Nf6 ( 3. …gxh4?? 4.d8=Q and White wins. ) 4.Bg3 Nbxd7 ±
(b) 1.Qf5+ Ke8 2.Qg6+ Kf8 ( 2. …Ke7?? 3.Qf7# or 2. …Qf7?? 3.Qxf7# ) 3.Rd7 Qxd7 ( 3. …Nxd7?? 4.Qf7# ) 4.exd7 Nxd7 ( 4. …gxh4?? 5.d8=Q# ) 5.Bg3 ±
(c) 1.Qf5+ Nf6 2.Qxf6+ Kg8 ( 2. …Ke8?? 3.Rd8# or 2. …Qf7?? 3.Qxf7# ) 3.Rd8+ Kh7 4.Rxh8#
I did a lot of analyzing of 1. Qe5, which seems to win but it is very complicated. Simpler seems to be:
1. Qf3+ Kg7 [1…Ke8 2. Bg3 Rh7 (2…Ne7 3. Qf7#) 3. Rd8+ Ke7 (3…Kxd8 4. Qf8#) 4. Qf8+ Kxe6 5. Rd6#] 2. Rd7+ Qxd7 [2…Nxd7 3. Qf7#] 3. exd7 Nxd7 4. Qxa8 gxh4 5. Re1+-
1. Qf5+ Kg7 2. Rd8 Nf6 3. Bxg5 Rxd8 4. Bxf6+ Kf8 5. Bh3+ Kg8 6. Bxd8 +-
Well done
Very good
Yes, this is also strong. 1.Qf5 is a little more precise though. Checks closer to the King are usually better unless you need to control something else from afar.
Well done
Qf5+ Kg7 2. Bxg5 hxg5 (else e7 wins) 3. Qxg5+ Kh7 (Kf8 Rd8#) 4. Qf5+ Kg7 5. Rd3 wins
2.Bxg5 definitely wins but 2.Rd7 is much stronger.