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1. Rxe6+!
A-1………Kf8. 2. Nd7+!. Kxg7. 3. Bh6+!. Kg8. 4. Nf6#!!
B-1………fxe6. 2. Bh5+. Kf8. 3. Rf7+. Kg8. 4. Nd7!. cxb2+. 5. Kb1!. Any move. 6. Nf6#!
C-1………Ne7. 2. Rxe7+.
C1-2…….Kd8. 3. Rexf7+. Ke8. 4. Re7+, Kd8. (If Kf8. 5. Nd7#!). 5. Rxb7+. Ke8. 6. Rxb8#
C2-2…….Kf8. 3. Rgxf7+. Kg8. 4. Rg7+. Kf8. 5. Nd7#!
Hence mate in 6!
Harry
Well done Harry, that was pretty hard I think.
Line B-1 should be 5.Kb2, not 5.Kb1 which allows 6.Nc3+. Black can harass for a few more moves after that, but it probably is still a forced mate at some point, but I can’t be 100% sure.
If in above.
B-1. Rxe6+. fxe6. 2. Bh5+. Kf8. 3. Rf7+. Ke8. 4. Rd7+! Kf8. 5. Bh6+!. Kg8. 6. Bf7#!!! A beautiful mate by the 2 bishops supported by the Rook.