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R*g2 K*g2 Rg8+ Kh2 Qf4+ Kh8 Ng3+
1.Rg2+ Kg2 (forced)
2.Rg8+ Kh2 (Kh1 or Kf1 drops the queen on Ng3)
3.Qf4+ Kh1
4.Ng3+ Kg2
5.Ne2+ Kf1
And there is probably mate in here somewhere, but I have to get back to work.
Rxg2, kxg2 (forced otherwise queen loss)
Rg8+
0-1
..kh2,Qf4 is mate,
..Kh1/kf1 is queen loss,
..Ng5,Rxg5+,Qg4,qxf2+Kh1,Rxg4..huge material loss and mate coming soon
– Amar
1….Rxg2!
2.Kxg2 Rg8
(2.Kh1 or Kf1 loses queen by 2.Ng3)
3.Kh2(almost forced considering queen) Qf4+
4.Kh1 Ng3+
and should be a mate after black takes white queen off the board very soon.
How about …Qxf2+, Qxf2 Nxf2. Now black has a rook pair and a bishop agaisnt white’s lone rook and 2 knights!!!