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White gets in the driver’s seat after 1. Rf8+
1. … Rxf8
2. Rxf8+ Kg7
3. Rg8+ Kf7 (3. … Kxg8 4. Nf6+)
4. Rh8 Kg7 (4. … Qa4 5. Nxd6+ Kf6 6. Rf8+ etc.)
5. Rxh7+ Kxh7
6. Nf6+ & 7. Nxd7
1. … Kg7
2. Rxe8 Bxf1 (2. … Qxe8 3. Nxd6+ Qe7 4. Rf7+ Kg8 (4. … Qxf7 5. Qxe5+ with 6. Nxf7 or 6. Ne8+) 5. Rxe7 Rxe7 6. Qf6 Re1+ 7. Kh2 Rf1 8. Qe6+ Kf8 etc.)
3. Rg8 Kf7
4. Rh8 Qa4
5. Nxd6+ Kf6
6. Rf8+ etc.
Rf8+ Rxf8 Rxf8+ Kg7 Rg8+ Kh6 (Kxg8 Nf6+) Queen checks and mates