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Bxb3 Nxb3 Rxa2
At first I was sure I was going down the wrong path but felt obligated to try out the obvious Rh7+ anyway, but got a surprise once I reached the critical position:
1. Rh7 Kg5
2. f4 Kf6
And it was here that I expected to find the dead end that would require a backtrack to move 1, but just as I was about to give up, I finally noticed that the seven rank is gone for black, and if white retreats the bishop somewhere safe, so is the sixth rank, with the threat of Ra6 followed by mate. So, where to put the bishop? The obvious square seems best:
3. Bd5
This carries a double threat, Ra6 followed by mate and either rook to f7 followed by mate. There is no defense against both threats.
1. Rh7+ Kg5
2. f4+ Kf6
3. Bd5
threatening both Rf7+ Rxf7 Rxf7#
and Ra6#
e.g.
4. Nb7 Rxb7
or
4. g5 Rh6#
1-0
1.Rh7+ Kg5
2.f4+ Kf6
3.Bd5 Nb7
[if ..c1=Q 4.Ra/Rhf7+ Rxf7 5.Rxf7#]
[if ..Rf7 4.Rxf7#]
4.Raxb7 c1=Q
5.Rb6+ Qc6
6.Rxc6# ..it’s a cinch! lol
1.f4! g5 (1…c1=Q 2.Rh7#)
2.Bxb3 (threat of Re6+ Rf6 Rxf6+ Kh5
Rh7#)
2….gxf4+
3. Kh4! (3.Kxf4? c1=Q+)
3….Kg6 (3..Rf6? 4.Rf7+ Kg6 5.Rag7#)
4.Ra6+ Rf6
5.Bf7+ Kg7
6.Bh5+
6…Kg8 or Kf8 7.Re8#
6…Kh6 7.Rxf6#
{Pretty simple, once one realizes that it is OK to let the Black king “escape” to f6. He can be mated there.}
1. Rh7+ Kg5 2. f4+ Kf6 3. Bd5 Nb7
(3. .. c1=Q 4. Raf7+ Rxf7 5. Rxf7#)
4. Raxb7 c1=Q 5. Rb6+ Qc6 6. Rxc6#
Lucymarie
1. f4
if 1… Ra8
2. Bg8 g5
3. Ra6#
if 1… g5
2. Bxf5 gxf4+
3. Kh4 Rxf5
4. Ra6+ Rf6
5. Rxf6#
or if 1… g5
2. Bxf5 Rxf5
4. Ra6+ Kh5
5. Rh7#
1. f4 g5
2. Bxf5! gxf4+
3. Kh4! Rxf5
4. Re6+ Rf6
5. Rxf6#
if 2…..Rxf5
3. Re6+ Kh5
4. Rh7#
1Rh7+ Kg5
2f4+ Kf6
3Be5 Nb7
4Raxb7 c1=Q
5any Rf7+ Rxf7
6Rxf7#
I prefer this to 5Rc6+ as I would the newly born black beauty queen to remain alive.