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Mate in 4, I think.
1. Rd5+ Kxf4
2. e3+ Kg4
3. Nf6+ Kh4
4. Rh5 mate
or
1. Rd5+ Kg4
2. Nf6+ Kxf4 (2. … Kh4 3. Rh5 mate)
3. e3 mate
or
1. Rd5+ Kg6
2. Rg5 mate
or
1. Rd5+ Ke6
2. Re5+ Kd6
3. Rd1+ Nd4
4. Rxd4 mate
Rd5+ and wherever black king goes, mate will follow. I think Bob is correct.
One of Bob’s variations can be improved:
1. Rd5+ Ke6
2. f5 mate!
Very nice!
By the way, it’s almost always the case that one (or more) of my variations can be improved. 🙂
The most obvious move on the board, nobody could miss it (even me).
I worked out the variations
1. Rd5+ e6
2. f5#
1. Rd5+ Kg6
2. Rg5#
1. Rd5+ Kg4
2. Nf6+ Kh4
3. Rh5#
1. Rd5+ Kg4
2. Nf6+ Kxf4
3. e3#
1. Rd5+ Kxf4
2. e3+ Kg4
3. Nf6+ Kh4
4. Rh5#
In my first variation, I meant “Ke6,” not “e6” of course.