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1. ……Qb2! forking BQ and BR.
If 2. Qxb2. Re1# So the BQ cannot leave the e1-a5 diagonal.
If 2. Qa5. Qxc1 wins the room and the game.
If 2. Qc3. Qxc3. 3. Rxc3. Re1#
c3
1. . . c3 is the better move.
If 2. Qxc3 Qxc3 wins the White Queen, because
3. Rxc3 leads to
3. . . . Re1 mate
Any other move, for example
3. Be2 leads to
3. . . .Qxc1+
4. Bf1 Qxf1 mate
Qb2
1….c3 is not good enough due to 2. h3!. Qxb4. 3. axb4. Then
3……Re1+. 4. Kh2. c2. 5. Bxc2. Rxc1 6. Bxd3 and Black only wins the exchange.
3……c2. 4. Bxc2. Rc8. 5. Bxd3. Rxc1+. 6. Kh2. Transposing into above.
Whereas with 1……Qb2! Black wins a whole Rook! Obviously this is better.