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There is at least a perpetual:
1. Re8+ RxR
2. RxR+ Kf7
3. Re1 Kg8 (else, Qg7#)
4. Re8+ Kf7
5. Re1
Is there anything better?
1.Re8+ Rxe8 2.Qh8+ is kinda strong.
I agree with Bill Brock:
1.Re8+ Re8
2.Qh8+ Kh8
3.Re8++
or
1.Re8+ Re8
2.Qh8+ Kf7
3.Qg7++
1.Re8+ Re8 2.Qh8+!! and mate is next. Saw it in 10 secs.