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1. … Ne4 threatens Ng3#
Taking the Queen with 2. Rxc5 is no help:
2. … Ng3+
3. Kg1 Bxg5#
Neither is defending g3 with either 2. Qg6 or 2. Ra3:
2. … Nf2+
3. Kg1 Nh3++
4. Kh1 Qg1#
White is going to trap the black R on the next move with g3, so one might as well sacrifice it.
1. … Rxh2+
2. Kxh2 Bxf4+
3. Kh1 or Kh3 Bxc1
4. Rxc1 Qe3
5. Ra1 (only move that doesn’t lose the R or B)
Black is a pawn up but has dominant position.
Mark
Bf4!
Bf4!
Bf4!
Bf4!
Bf4!
I have no clue.
The simple and intuitive
1. … Bf4+
threats Rxh2#, and looks immediately best. Seems to win the knigt at least.
2. g3 (enforced) Bxg3
3. Rc2 Qd6!
The idea
1. … Ne4?
immediatel looks wrong.
2. g3!
Sacking this pawn is enforced.
2. … Nxg3+ (Qd5+ Bg2)
3. Kg2 Qd5+
4. Kxg3 Bxf4
5. Kxh4 Qh1
This line is only way to try and get a mate, but it just doesn’t work.
6. Rc2 Qg1
7. Qg6!
Mate threat vanished, and black has sacked half his material for nothing. Re8 doesn’t help either.
I still say 1. … Ne4
I had not considered 2. g3, but:
2. g3 Qf2!
The dual threats of Qh2# and Ng3# can’t both be met.
The forcing Rxh2 as mshroder suggested looks most precise. Black then mates quickly with the bishop and queen.