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Herbert Robert Engel | Mate in 6 | Die Schwalbe, 1973

A tricky riddle with a well-concealed solution! White to play and mate in 6. Find the key move.
1. Rf3 h5 - How should White continue? Note that Black has no moves at the moment!
2. g3 fxg3+ - How should White proceed?
3. Kg1 g2 - White to play. Keep going.
4. Nxc4 Kxe4 - How should White continue?
5. Nd2+ Kd5 - How does White finish off the game?
What if Black plays 4...Kxc4? How does White continue?
5. Nd2+ Kd5 - How does White finish it off?