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Yes. Begin with Rxg7+…follow with a bishop check and mate delivered by the queen.
1. Rxg7+ Kxg7
2. Be5+ with mate to follow:
If 2. ..Kg8
3. Qg6+ Kf8
4. Qg7++
If 2. ..Kf7
3. Qf6+ Kg8
4. Qg7++
If 2. ..Kh7
3. Qe7+ Qf7
4. Qxf7+ Kh6
5. Qg7++
White obviously has to keep checking, so:
1. Rxg7+ Kxg7 2. Be5+ followed by mate in 2 more moves.
Way too simple…
1. Rxg7+ Kxg7
2. Be5+ and White mates in 3 moves maximum
After 5 seconds , I think Rxg7 should be the way
The threat Qxg2# reduces the options very much and 5th rank is closed for black king and this makes it easy:
1. Rxg7+ Kxg7 (only legal move)
2. Qe7+ Kg6/Kh6 (Kg8 d8=Q#)
3. Rd6+ Qe6 (only legal move)
4. Rxe6#
Sorry, of course Rd6? wasn’t possible! Still it’s easy, but more variations to look at:
1. Rxg7+ Kxg7
2. Be6+! (only possibility)
A.
2. … Kh7
3. Qe7+ Qf7 (only delay of Qg7#)
4. Qxf7+ Kh6
5. Qg7#
B.
2. … Kg8
3. d8=R+ (R is enough) Kh7 (Kf7 Qf6#)
4. Rxh8# (the efficient move)
C.
2. … Kf7
3. Qf6+ Kg8
4. d8=R+ Kh7
5. Qg7#
I hope I didn’t stumble now…
1. Rxg7+ Kxg7 2. Be5+ Kf7 (A. 2. … Kg8 3. Qg6+ Kf8 4. Qg7#; B. 2. … Kh7 3. Qe7+ Kg6 4. Qg7#) 3. Qf6+ Kg8 4. Qg7#
1. ♖xg7+ ♚xg7
2. ♗e5+
2. … ♚g8
3. d8=♕+
3. … ♚f7
4. ♕6f6#
3. … ♚h7
4. ♕8e7
4. … ♛f7
5. ♕xf7#
4. … ♚g8
5. ♕g6#
2. … ♚f7
3. ♕f6+ ♚g8
4. ♕g7#
2. … ♚h7
3. ♕e7+
3. … ♚g6 or ♚h6 or ♚g8
4. ♕g7#
3. … ♛f7
4. ♕xf7+ ♚h6
5. ♕g7#