White to move and checkmate in 3.

2r2k2/4p3/4Rb2/3Q3p/1p3P2/p6P/1qn1NP1K/6R1 w – – 0 1

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1. Rc6

1….e6 2. Qxe6 black cannot prevent Rg8#

1….Rxc6 2. Rg8#

1. Rxf6+

1…… Qxf6 2.Rg8#

1…….exf6. 2.Qe6 No way black can prevent Rg8#

1.Rxf6+ exf6(1…. Qxf6 2Rg8#)

(1…. Ke8 2.Rg8#)

2.Qe6 followed by 3.Rg8#

1. Rc6 e6 (1. … RxR 2. Rg8++)

2. Qxe6 Bg7 (2. … RxR++ 3. Rg8++)

3. RxR++

1.Rxf6+!

A>1…….Qxf6.2.Rg8#!

B>1…….Ke8.2.Rg8#!

C>1…….exf6.2.Qe6!!!.any move.3.Rg8#!!

First move easy to see. Second move tricky but elegant

1.R×B + PxB 2. Rg8 + Ke7 3. Qe6+++

1. Rg8+ Kxg8 (1. … Kf7 2. Ra6+ e6 3. Qxe6#)

2. Rxe7+ (Rxf6+? e6!) Kh8 (2. … Kf8 3. Qf7#)

3. Qxh5#

I had to exclude the idea of Rxf6+, either as first or second move, neither worked.

That isn’t mate in 3 because after 3. Qxh5+ 3. … Kg8

That isn’t mate in 3 because after 3. Qxh5+ 3. … Kg8

1. Rc6 e6 (1. … RxR 2. Rg8#)

2. Qxe6 Bg7 ( 2. … RxR or Rg8 3. Rg8#)

3. RxR#

1. Rc6 e6 (1. … RxR 2. Rg8#)

2. Qxe6 Bg7 ( 2. … RxR or Rg8 3. Rg8#)

3. RxR#

1. Rxf6+ exf6 2. Qe6 ~ 3. Rg8#

pht said…

1. Rg8+ Kxg8 (1. … Kf7 2. Ra6+ e6 3. Qxe6#)

2. Rxe7+ (Rxf6+? e6!) Kh8 (2. … Kf8 3. Qf7#)

3. Qxh5#

3. Qxh5 is not mate ’cause the rook g1 is scarificed

1. Rxf6 works

1. … exf6 (Qxf6, Qg8# / Ke8, Rg8#)

2. Qe6 and no defense against 3. Rg8#

Not easy. But I think I finally got it:

1.Rf6 ef

2.Qe6 …

3.Rg8#

1.Rxf6+ exf6

If 1.-Qxf6 or 1.-Ke8 then 2.Rg8++

2.Qe6! followed by 3.Rg8++

pht, 3.Qxh5+ is not mate because simply 3.-Kg8.

1. Rxf6+

1a …, Ke8, Rg8#

1b …, exf6

2. Qe6, any

3. Rg8#

Pretty straight-forward, as the brute force approach prevails easily:

1. Rxf6+The attraction sacrifice 1. Rg8+ doesn’t work since, for example, 1. … Kxg8 2. Rxe7+ Kh8 3. Qxh5+ Kg8 4. Qh7 takes 4 moves instead of 3. But in a practical game, it’s also an easy, straight-forward win.

1. … exf61. … Qxf6 or 1. … Ke8 both lose immediately to 2. Rg8 mate.

2. Qe6Since Black has no immediate check, White can simply spend a move to cut off the Black king’s retreat. And now there is no defense to

3. Rg8 mate.1. Rxf6+ exf6 (1. … Qxf6 2. Rg8#) 2. Rg8+ Ke7 3. Nf5#