Abdel Irada: <<•>A hard day's "easy"<•>> Whether this puzzle is easy or hard depends on the objective you set for yourself in it: To win material (with check) is easy enough; to finish the game, not so easy. In any case, one begins:
<<•>58. Rxg7†...> Now Black has to decide whether to take the rook immediately or wait a move. <(1) 58. ...Kh8>
We'll assume Black is as uncooperative as possible. Does it make a difference? <59. Rh7†, Kxh7>
No choice about this one.
<60. Qf7†, Kh8
61. Qxe8† >
Apparently Black has no choice, so let's examine the capture. <<•>(2) 58. ...Kxg759. Qd7†...>
Apart from the futile 59. ...Re7, Black has three king retreats. <(2.1) 59. ...Kh8
60. Qxe8† >
<(2.2) 59. ...Kg8
60. Qxe8† >
<<•>(2.3) 59. ...Kf860. Bb4†, Kg8
61. Qxe8† >
Okay. We've won back the rook with check (and a bishop by way of interest). But how do we put the game out of reach, given that with careless play, Black has a perpetual? We'll assume Black doesn't let the bishop into his kingside with check. Continuing from (2.3) above:
<<•>61. ...Kh762. Qd7†!, Kg8>
It doesn't appear to matter much whether the king goes here or to h8. Now, of course, one *could* play 63. Qd2, holding everything and preventing a perpetual, and win gradually with the extra bishop and passed e-pawn. But I think there's a faster way.
<<•>63. Be7...>  click for larger view<[The position after 63. Be7]> Now this is worth noting: By playing 62. Qd7†, White prevents the assured perpetual that would result if the black queen had access to d1. From that square, she could corral the white king and check from h5 if it ever ran to h3, ensuring the draw. This leaves two remaining checking squares, since c5 is controlled by the bishop, and the difference between them seems minimal. Let's assume she checks from the light square, keeping the option of playing ...Qf5† and trading queens (which loses, but prevents immediate mate). <<•>63. ...Qb1†64. Kh2, Qc2†
65. Kh3...>
We are, of course, pragmatic and willing to simplify into an easily won ending. But does Black have anything better? There are no useful king moves, so other than the queen exchange on f5, Black has three plausible continuations. <(2.3.1) 65. ...Qe2> Black hopes for perpetual check with ...Qh5†, etc.
<66. Qe8†, Kh7>
If 66. ...Kg7; 67. Bf6† and mate next move.
<67. Qf7†, Kh8
68. Bf6#>
First objection struck down: There is no perpetual.
<(2.3.2) 65. ...h5
66. Qe8†, Kh7
67. Qf7†>
Black will be mated next move: (a) 67. ...Kh8; 68. Bf6# or (b) 67. ...Kh6; 68. Bf8#/Bg5#. <(2.3.3) 65. ...g5
66. Qe8†, Kg7
67. Bf6†, Kh7
68. Qf7#>
It is now clear that Black cannot survive except by offering the queen trade: 65. ...Qf5†; 66. Qxf5, gxf5; 67. e6. And from here, I will rely upon it that virtually anyone can win the ensuing ending. |