I have been having another look at this and my comments weren't as accurate as they could have been...

:-)

But continuing your analysis I think after

32 Rxb7 Rxb7
33 Rxd6 Bf8
34 Bd4+ Kg8

white plays

35 Rxe6!

because 35 ... Nxe6 36 Bxe6#, so the rook is immune and the subsequent discovered check is lethal (i.e. 36 Rg6! winning the queen or if 35 ... Qc1+ 36 Re1+ winning the queen) and so 34 ... Bg7 is forced and as you point out 35 Qxc5 is winning

My first ideas were tactics involving sacrificing the rooks for a Qe8+ somehow, since it would force Bf8 and Qxf8+

<Rxb7>
<Rxd6>
<Bxc5(then Rxb7)>

First I want to try Rxb7 since it looks most forcing for the correct move order

33. Rxb7! Rxb7

<[33...Nxb7 34. Nxe6 white has atleast equalised or doing better]>

34. Rxd6! Rxd6

<[What else? 34....Qc1+?! 35. Bf1! holds the position

34...Rg8?? 35. g3! again white holds his position

34...Rbb8?! 35. Rxd8+ Rxd8 36. Bxc5 Rd1+ 37. Bf1 with b7 looks strong]>

35. Qe8+ Bf8 (forced)
36. Qxf8+ Qg8 (forced)
37. Qxd6
And Black can resign anytime now

Some follow-up moves
37...Nd7?? 38. Bxe6
37...Rg7?? 38. Bd4
37...Qg6?? 38. Bxc5
37...Na4?! 38. Bxe6 with Bd4+

<Just to recap Nxb7

32. Rxb7 Nxb7
33. Nxe6 Qe7
34. Nxd8 Rxd8
35. Qxf5
In this variation White is more than quite comfortable>

Lets see how I faired

======
<Answer:
32. Rxb7 Rxb7
33. Rxd6 Rbb8
34. Rxd8+ Rxd8
35. Qxc5>

32.Rxb7 Rxb7 (32...Nxb7 33.Nxe6 with a fork plus material)

This is where I missed the best move.

33.Bxc5 dxc5 34.Rxd8+ Qxd8 35.Nxe6 and there are a number of ways to continue, including 35...Qd1+, 35...Qxb6, 35...Rxb6, or 35...Bd4+.

With so many possible replies, that's an indication this may not be the best line because with more replies comes more ways to refute a move.

A) 32... Rxb7 33.Rxd6 (threatens 34.Rxd8+ and 35.B(Q)xc5)

A.1) 33... Rxd6 34.Qe8 Bf8 35.Qxf8+ Qg8 36.Qxd6 + - [2B+P vs R] and the double threat 37.Qxc5 and 37.Bd4.

A.2) 33... Qc8+ 34.Bf1 Nd7 (34... Rxd6 35.Qe8+ and mate next) 35.Rxd7 + - [B+N+P vs R].

A.3) 33... Rc8 34.Qxc5 Qc1+ 35.Bf1 Qxc5 36.Bxc5 + - [B+N+P vs R].

B) 32... Nxb7 33.Nxe6

B.1) 33... Qf6 34.Bd4 followed by N(B)xg7 + - [2B+P vs R].

B.2) 33... Qe7 34.Nxd8 followed by Qxf5 and White is two pawns ahead, has the bishop pair and a winning position. Another option is 34.Nxg7 Kxg7 (34... Qxg7 35.Bd4) 35.Qxf5 trying a mate attack.

B.3) 33... Qh5 34.Nxd8 Rxd8 (34... Nxd8 35.Rxd6) 35.Qd5 Rb8 36.Ba6 Nd8 37.Qxd6 Ra8 38.Qxd8+ Rxd8 39.Rxd8+ Bf8 40.Bd4#.

Let's first list the motifs and characterics of the position:

White has very active pieces. R on 7th, eyeing bishop on b2 and possibly even bishop on g7. N is threatening a fork on e6 which is only defended by black's knight. Black's back rank could be exploited with queen check on e8 if rooks are diverted.

So it seems like some variations will involve threats on e8 by the queen and e6 by the knight.

Black threatens Bxf3, also could play d5 at some point and he has other options, so White should hurry as the nature of the position is tactical and open at the moment.

For a candidate move, I like:

32. Rxb7

A. 32... Nxb7 33. Nxe6 Qe7 34. Nxd8 with at least an extra pawn and dominant position for White. Both bishops are very active, d5 is a great post for the white squared bishop, b6 is a source of concern for Black, and rook and queen are also active. So there may be more that I am not seeing at the moment but in playing 32. Rxb7 I would be satisfied with recovering the exchange plus a pawn plus a dominant position.

B. 32... Rxb7

Here I first tried 33. Bxc5 but it does not seem to work, e.g., 33... dxe5 34. Rxd8 Qxd8 35. Nxe6 Qd1+ and Black seems to hold

Therefore after 32... Rxb7 I went for

C. 33. Rxe6! when the Black rook cannot be taken.

C1. 33... Rxe6 34. Qxe8+ Bf8 35. Qxf8 Qg8 36. Qxg8 Kxg8 37. Bxc5 with clear advantage to White

C2. 33... Nd7 34. Nxe6 Qc1+ 35. Bf1 with advantage to White, e.g., 35... Rc1, 36. Nxg7 Kxg7, 37. Qxf5 with three pawns for the exchange and an open Black King position, plus the two bishops in an open position.

C3. 33... Qc1+ 34.Bf1 Nd7 35. Nxe6 tranposes to line C2.

White must play 32. Rxb7 to prevent 32. ... Bxf3 or Black is winning. Black must play 32. ... Rxb7 for the same reason.

White can now play 33. Rxd6 with impunity since Black's rooks are no longer connected. A subtle move perhaps, but taking a central pawn is almost always desirable and with Black's king boxed into the corner, a back rank check is something you look for in this type of position. 33. ... Qc1+ fails to provide any real resistance (e.g. 33. ... Qc1+ 34. Bf1 and the knight falls since Black must move a rook).

The knight falls and Black's position is in tatters. I found this to be easier than Thursday's puzzle, but I guess it's matter of perspective.

L Bruzon vs E Perelshteyn, 2000 (32.?)

White to play and win.

Material: Even. The Black Kh8 has 1 legal move, g8, x-rayed by Bc4. The salient feature of the position is the passed Pb6, blockaded by Bb7, which is in turn supported by Rb8 and Nc5. The White Ra7 and Qb5 support Pb6, while the White Bf2 attacks Nc5. The Black Nc5 prevents 32.Nxe6, forking Rd8 and Qg5. The White Rd1 x-rays Rd8 through Pd6, which supports Nc5. Black threatens 32…Bxf3 33…Qxg2#. The Black Qg5 attacks Pg2 and can reach the White back-rank, which is somewhat weak.

Candidates (32.): Bxc5, Rxb7, Nxe6, Bxe6, h4

[32.Bxc5 Bxf3 (threatening 33.Qxg2# or 33.Bxd1) wins material]

32.Rxb7 Rxb7 [Nxb7 33.Nxe6 then 34.Nxd8 wins a P]

White to play (32.?) "Difficult"

Black is threatening 32...Bxf3, so the solution must keep that in mind.

I found 32. Rxb7 Rxb7 (32...Nxb7 33. Nxe6 wins a pawn, and the passed b-pawn will be dangerous) 33. Qc6! (threatening 34. Bxc5 dxc5 35. Rxd8+ Qxd8 36. Qxb7 Qc1+ 37. Bf1) Rbb8 34. Rxd6 and White will win a second pawn for the exchange, and it looks like the strong b-pawn will win it for him, e.g. 34...Rxd6 35. Qxd6 Qc1+ 36. Bf1 Nb7 37. Qxe6 Nc5 38. Qc6 Nd3 39. Qxc1 Nxc1 40. Na6 Rd8 41. Bg3! Rd7 42. Nc5 and the b-pawn will cost Black his rook.

The difference in our playing skill is showing, <Bish>.