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(a) 1.Bg6 ( threatening checkmate with 2.Qxf7# ) Bb4 2.Bxb4+ Qc5 ( 2. …Rad6??, Rdd6??, or Qd6?? 3.Qxf7# ) 3.Bxc5+ Rad6 or Rdd6 4.Qxf7#
(b) 1.Bg6 Bc5 2.Qxf7+ Kd6 3.Qe6#
(c) 1.Bg6 fxg6?? 2.Qe6# or Qf8#
(d) 1.Bg6 f6?? 2.Qe6#
1. Bg6 Bxa3
[1…fxg6 2. Qe6# or 1…f6 2. Qe6# or 1…Bc5 2. Qxf7+ Kd6 3. Qe6# or 1…Bb4 2. Bxb4+ Qc5 3. Bxc5+ Rad6 5. Qxf7#] 2. d6+ Kxd6 [any other capture by Black on d6 is met by 3. Qxf7#] 3. Bxe5+ +-
Very good!
Well done!