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1. Bxg6 fxg6 [1…Qxg6 2. Rg5 +- or 1…Bxd4 2. Bh5+ Kh8 3. Qxf6+ +-] 2. Re6 Qxe6 [2…Qh8 3. Rxg6+ Kf7 4. Qg5 +-] 3. Rxe6 Be8 4. Re4 +-
(a) 1.Bxg6 Qxg6 2.Rg5!!
[a1] 2. …Qxg5 3.Qxg5+ Kf8 ( or 3. …Kh7 or Kh8 4.Re3 Bd7 5.Re4 f6 6.Rh4# ) 4.Qh6+ Kg8 5.Qxc6 ＋－
[a2] 2. …Bxd4 3.Rxg6+ fxg6 4.Qxg6+ and 5.Qxc6 ＋－
[a3] 2. …Bb5 3.Rxg6+ fxg6 4.Qxg6+ Kf8 5.Qf6+ Kg8 6.Re7 Bxd4 7.Qf7+ Kh8 8.Qh7#
(b) 1.Bxg6 fxg6 2.Re6
[b1] 2. …Qf8 ( 2. …Qxe6 3.Rxe6 ＋－ ) 3.Rxg6+ Kf7 4.Qh7+ Qg7 5.Qxg7#
[b2] 2. …Qxd4 3.Rxg6+ Kf7 4.Qh7+ Kf8 ( or 4. …Qg7 5.Qxg7# ) 5.Qg8# or Rg8#
(c) 1.Bxg6 Qg7 2.Bxf7+ Kf8 (, 2. …Qxf7?? 3.Rg5+ Qg7 4.Qxg7#, or 2. …Kxf7?? 3.Re7+ Kf8 or Kg8 4.Qxg7# ) 3.Qxc6
[c1] 3. …Rd8 4.Re8+ Rxe8 ( or 4. …Kxf7 5.Qe6# or Re7# ) 5.Qxe8#
[c2] 3. …Qxf7 4.Qxa8+ Kg7 5.Re7 Qxe7 6.Rxe7+ and White wins.
[c3] 3. …Kxf7 4.Re7+ Kg8 5.Qxa8+ Kh7 6.Rxg7+ Kxg7 7.Re7+ and White wins.
(d) 1.Bxg6 Qh8 2.Bxf7+ Kxf7 3.Re7+ Kg8 4.Qg6+ Qg7 ( or 4. …Kf8 5.Qf7# ) 5.Qxg7#
(e) 1.Bxg6 Bxd4 2.Bxf7+ Kxf7 ( or 2. …Qxf7 3.Rg6+ Qg7 4.Rxg7+ Bxg7 5.Qxc6 ) 3.Qh7+ Kf8 ( 3. …Qg7 4.Re7+ Kf6 5.Qxg7+ and White wins. ) 4.Rf5 Qxf5 5.Qxf5+ Kg8 6.Qg4+ and 7.Qxd4 ＋－
Very good!
Well done!