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1. Rf7 and Black cannot prevent 2. Ne7+ and 2. Nh6+ at the same time, followed by 2. … Kh8 3. Rh7#.
Rf7 is the winning move
1. Rf7 a1=Q (1. .. Bd2 2. Ne7+ Kh8 3. Rh7#) 2. Nh6+ Kh8 3. Rh7#
Black can only watch his end:
1.Rf7 Kh8
(1…Bd2 2.Ne7+ Kh8 3.Rh7#)
(1…Rf8 2.Nh6+ Kh8 3.Rh7#)
(1…Ne6 2.Nh6+ Kh8 3.Rh7#)
(1…a1=Q 2.Nh6+ Kh8 3.Rh7#)
2.Nh6 a1=Q 3.Rh7#
Nh6+Kh8,Rh7+Kg8,Bf7+Kf8,Rh8+Ke7,Rxa8 OR …Kf8,Rf7+Ke8,Rh7+Kd8,Rh8+Kc7,Rxa8se
Nh6+Kh8,Rh7+Kg8,Bf7+Kf8,Rh8+Ke7,Rxa8 OR …Kf8,Rf7+Ke8,Rh7+Kd8,Rh8+Kc7,Rxa8
Nh6+Kh8,Rh7+Kg8,Bf7+Kf8,Rh8+Ke7,Rxa8 OR …Kf8,Rf7+Ke8,Rh7+Kd8,Rh8+Kc7,Rxa8
Nh6+Kh8,Rh7+Kg8,Bf7+Kf8,Rh8+Ke7,Rxa8 OR …Kf8,Rf7+Ke8,Rh7+Kd8,Rh8+Kc7,Rxa8
Nh6+Kh8,Rh7+Kg8,Bf7+Kf8,Rh8+Ke7,Rxa8 OR …Kf8,Rf7+Ke8,Rh7+Kd8,Rh8+Kc7,Rxa8