Abdel Irada: <<•>The Thirty-Second Move<•>>Our puzzle is set at move 32, and it takes about 30 seconds to find and provisionally verify the key move:
<<•>32. Re8†...>
Now Black has to decide: to take, or not to take? First, let's assume he does.
<(1) 32. ...Rxe8>
Note that the pin is now broken. This means we can take the queen without losing our own.
<33. Nxd6...>
We now have a queen for a rook and pawn, but this doesn't mean the game is over. First, we must meet Black's counterplay.
<33. ...Re1†
34. Kh2, Re2>
Black threatens to even the score with ...Rxf2†. But now it's our turn again.
<35. Qf8†, Kc7
36. Ne8†!...>
Since 36. ...Rxe8 is obviously hopeless, Black has four king moves to consider.
<(1.1) 36. ...Kb8?
37. Qd6†
>
Black will be mated: (a) 37. ...Kb7?; 38. Bc8†!, Ka8 (38. ...Kxc8?; 39. Qc7#); 39. Nc7†, Kb8; 40. Nxa6††, Ka8; 41. Qb8# or Qc6#, or (b) 37. ...Ka8; 38. Qd8†, Bc8 (38. ...Kb7; 39. Qc8#); 39. Qxc8#.
<(1.2) 36. ...Kd8
37. Nf6†, Kc7
38. Qf7†
>
More mayhem: (a) 38. ...Kd8??; 39. Qd7#. (b) 38. ...Kd6; 39. Qxd5†, winning another piece. (c) 38. ...Kc6; 39. Qxd5†, ditto. (d) 38. ...Kb8; 39. Nd7† and one of (d.1) 39. ...Kb7; 40. Qxd5†, Kc7; 41. Qxd4, or (d.2) 39. ...Ka8; 40. Qg8†, Kb7 (40. ...Bc8??; 41. Qxc8#); 41. Qxd5†, Kc7; 42. Qxd4, or (d.3) 39. ...Kc8; 40. Nc5†, Kb8 (40. ...Kd8??; 41. Qd7#); 41. Nxa6†, Ka8; 42. Qxd5#, or (d.4) 39. ...Kc7; 40. Ne5† and now (d.4.1) 40. ...Kd8??; 41. Qd7#, or (d.4.2) 40. ...Kb8?; 41. Nc6†, Ka8; 42. Qxa7#, or (d.4.3) 40. ...Kd6; 41. Qd7†!, Kxe5 (41. ...Kc5; 42. Qc6#); 42. Qe6#.
<(1.3) 36. ...Kc6
37. Qd6†, Kb5>
Or (a) 37. ...Kb7?; 38. Bc8†!, mating as in variation (1.1), note (a).
<38. Bf1
>
Black loses everything.
<(1.4) 36. ...Kb7
37. Qf7†
>
Cannon to the left of me...: (a) 37. ...Ka8; 38. Qxd5† and either (a.1) 38. ...Kb8; 39. Qd8†, Bc8 (39. ...Kb7; 40. Qc8#); 40. Qxc8#, or (a.2) 38. ...Bb7; 39. Qd8†, Bc8; 40. Qxc8#. (b) 36. ...Kc6; 37. Qc7†, Kb5; 38. Bf1.
As we have now confirmed, Black can't give up the queen and survive. Let us therefore examine the lines where he doesn't.
<<•>(2) 32. ...Kc7>
Not (a) 32. ...Bc8?; 33. Nxd6, Rxf3; 34. Rxc8#. Nor (b) 32. ...Kb7?; 33. Nxd6†
.
<<•>33. Rxf8
>
White has won at least a piece.
<<•>34. Qf4†, Be5>
Alternatives: (a) 34. ...Kc6?; 35. Ne5†, winning the queen. (b) 34. ...Kb7?; 35. Nd6†, again winning the queen.
<<•>35. Qxe5†
>
[The position after 35. Qxe5†]