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1. Bd5+! interrupts the connection between Black’s queen and rook.
1. … Kf8/h8
1. … Rxd5
2. Qe6+ Kf8 (Kh8 3.Qe8+ Qxe8 4.Rxe8#)
3. Rf1+ Qf6
4. gxf6 and Black will either lose the rook or get mated by Qe7-Qg7
+-
1. … Qxd5
2. Qe8#
2. Rxd1 and should win easily.
1. Bd5+
A)
1. … Kf8 ()
2. Qf2+ Qf6
3. gxf6
B)
1. … Kh8
2. Qe8+ Qxe8
3. Rxe8#
C)
1. … Qxd5
2. Qe8#
D) (critical)
1. … Rxd5
2. Qe6+! Kf8 (Kh8? Qe8+ Qxe8 Rxe8#)
3. Rf1+ Qf6
4. gxf6
Be5
Oops – I meant Bd5
Bd5 wins easily!
I see 1.Bd5 is about 10 seconds after realizing 1.Qe6 fails- the point of Bd5 is the need to relieve the pin/attack on white’s rook by black’s, though the move also breaks the black rook’s protection:
1. Bd5 Rd5
Obviously, black cannot take with the queen without allowing mate on the next move, and if black plays Kf8, white mates in two more starting with Qa3+. Continuing:
2. Qe6 Kf8 (Kh8 3.Qe8+-)
3. Rf1 Qf6
4. gf6 and mate must follow soon.
Best for black at move 1 is to simply give up the rook:
1. Bd5 Kh8
2. Rd1 and white’s edge should be decisive.