White to move. How should white proceed?
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Well, there’s probably something faster, but the fastest I see off-hand is:
1. Ne4+ d5xe4
2. Rfd1+ Bd4
3. Qxd4+ Ke7
4. Qg7+ Ke8
5. Bh5 mate
Yes, for example
1.Ne4+ dxe4
2.Rfd1+ Kc5
3.Rbc1+ Nc4
4.Rxc4+ Kb5
5.R4c1+ Ka5
6.Qc3#