4

I saw the following puzzle recently in a newspaper:

Black to play and win

6rk/6qp/2Bp4/P1pP1p2/3bnP2/6BQ/7P/5R1K w - - 0 1

My proposed solution was

1. ...   Nf2+

and the lines I foresaw were

2. Bxf2  Bxf2
3. Rxf2  Qg1 mate

2. Bxf2  Bxf2
3. (something else)  Qg1+
4. Rxg1  Rxg1 mate

2. Rxf2  Bxf2
3. Bxf2  Qa1+ and interposing B or Q only delays the end

However, the given solution was

1. ...   Bf2!
2. Rxf2  ...
(If 2. Bxf2? Nxf2+ 3. Rxf2 Qg1 mate)
2. ...   Nxf2+
3. Bxf2  Qa1+ and white resigns

I can see three possibilities:

  1. I missed something
  2. My solution is as good as the official one
  3. They're actually equivalent under transposition

Which is the case?

2

They're not equivalent, but your solution is just as good. In fact, it's more easy to find because Nf2+ is a 'forcing' move.

1

They aren't quite equivalent because of the differences in the position if White declines or partially declines the sacrifice (for example, after Nf2+ Rxf2 Bxf2, White doesn't have to retake the bishop - but after Bf2 Rxf2 Nf2+ declining the knight instantly loses the queen.) But both should win, even if Bf2 is slightly better.

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