What is the best continuation for White? [FEN "4r3/pq3k2/1p4p1/2p1Qn1p/2PpN3/3P4/PP3PPP/R5K1 w - - 0 1"]


It is White to move the above position.

After Ng5 check, the Black king can go only to g8 or f8.

If the Black king goes to g8, they lose their rook. After Kf8 by Black, what is White's best move?
Best is 2.Qh8+ Ke7, after which White has a choice:


Go for 3.Qh7+ Kf6 4.Qxb7 Kxg5, when White has won a queen for a knight with a completely winning position.
Go for 3.Re1+, which is slightly more complicated but leads to a forced mate according to Stockfish:




 [FEN "4r2Q/pq2k3/1p4p1/2p2nNp/2Pp4/3P4/PP3PPP/R5K1 w - - 0 3"]

3.Re1+ Ne3 4.Qg7+ Kd6 5.Qxb7 Re7 6.Qb8+ Kc6 7.fxe3 Rb7 8.Qa8 a5 9.exd4 cxd4 10.Qc8+ Rc7 11.Re6+ Kc5 12.Qf8+ Re7 13.Qxe7#.