Daily chess puzzle: Check Mate #361
Another puzzle from Dragoslav Andric’s 1981 book “Matni Udar”.
White to play and mate Black

Berquist v Timman, correspondence 1971/72
Solution
1 Nh5! to exploit the tied Nf6 (tied to defending h7) and the LPDO Qb6. 1…gh[] 2 Ne6! clearing the g-line.

2…Qe6, 3 Rg5 mate; 2…Ne8 3 Rg5+ and mate on g7; so 2…fe 3 Rg5+ Kf7[] 4 Qg6 mate.

Note the importance of the h-pawn being on h3: if it were on h2, then Black has a Qf2+ Kf2 Ng4+ forking resource (forking the Kf2 and Qh6).
Komodo tells me 1 N3e4! also wins, the point being 1…Be4 2 Re4 and swings to the h-file; but 1…Rfe8 and either 2 Re6! is the engine move, or 2 Re1 piling on pressure, are harder to see than the Nh5! Ne6! idea.
FEN
r4rk1/1b2pp2/1q3npQ/4R1N1/ppp5/6NP/1PP2PP1/R5K1 w – – 0 1
Doesn’t Re6 also win?
Yes, it does. Komodo gives one line where Black can play on, but after 1…Qe6 2 Ne6 fe 4 Qg6+ Kh8 5 Re1 it is 1-0.