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December 31, 2005 |
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First a comment to yesterday's column, which people seem
to be reading quite carefully. We published an eight-fold
rook underpromotion problem by Swedish composer Bo Lindgren,
which John Nunn assumed was sound – unlike my own
beloved Hasselkus example, which I have been using for years.
But, sigh, even Lindgren appears to be flawed.
Bo Lindgren, Feenschach 1966
Selfmate in ten moves
The solution intended by the author is: 1.a8R+ Na7 2.Rxa7+
Kb5 3.b8R+ Kc6 4.c8R+ Kd6 5.d8R+ Kxe6 6.Rc6+ Rxc6 7.e8R+
Kxf6 8.f8R+ Kg6 9.g8R+ Kxh6 10.h8R+ Bh7#. But Arie Haenel
of Jerusalem sent us an alternate solution, with two queen
and two rook promotions. One that in fact forces Black to
mate in nine moves: 1.a8Q+ Na7 2.Qxa7+ Kb5 3.b8R+
Kc6 4.c8R+ Kd6 5.d8Q+ Kxe6 6.Qdd7+ Kxf6 7.Qd6+ Kxg7 8.Rg8+
Kxh7 9.Qg6+ Bxg6#. This appears to be correct –
another famous problem bites the dust.
Back to the subject of very long direct mate. Here's another
lovely lose-a-move problem by the great magician of unorthodox
chess puzzles.
Karl Fabel, Caissa 1948
How many moves to mate?
wKf7,Nc1,d3,Rd1,Pa2,e6,g6,h5/bKf1,Qg1,Ne1,h1,Bf2,f8,Rg2,h8,Pa3,a7,e7,g3,g7,h2,h6
Once again we are assuming that there are not too many
people out there who will get out a board and solve this
puzzle during afternoon tea, so we will not be specifying
how many moves to mate. That is for you to find, after making
liberal use of the help we will provide.
First of all we notice in the above position that Black
can only move one of the pieces in the cluster at the bottom
right. It is the bishop on f2. But if he does so he is immediately
mated by Rxe1. On the other hand, White cannot move any
of his pieces either without letting Black escape from the
box at the bottom right – except for the white king.
The second thing we notice is that Black cannot move his
rook on h8, as it will be captured, and then he will be
forced to move the bishop and be mated. Since it is White
to move that is not currently an acute problem. But if White
succeeds in losing a move the danger would be serious.
The best way for White to lose the move is to triangulate
with his king. But to do so the king has to move to a black
square, and if it is not careful it will receive a check
from the bishop on f2. For instance, after 1.Ke8 Rg8 2.Kd7
Rh8 3.Kd8?? Black would have 3...Bb6+ and then 4.Ba5 or
Re2, opening up the position for an easy win. No, the white
king must avoid a bishop check at any cost.
There is a black square that White can safely tread upon:
b8. So his stategy will be to move his king to b7, using
only white squares on the way, then move it to b8, and return
to f7 by the same route (Kf7-e8-d7-c8-b7-b8-c8-d7-e8-f7).
After that it would be Black to move and his rook would
be in zugzwang.
But Black has the a-pawn. Ah, we begin to understand: after
the above tempo-losing manoeuvre Black will move the a-pawn,
and White will keep repeating the manoeuvre until the a-pawn
has no more moves. Then Black will be in final zugzwang,
his rook will be captured and he will be mated.
There are still a couple of subtleties to be attended to,
but from here on you are on your own. You will notice that
we have provided the ASCII description of the problem so
that you can use Fritz to help you analyse it. Please do
so, as this will be part of the final problem competition
that will be presented to you in a couple of days. You will
need to tell us exactly how many moves White needs to mate,
assuming best defence by the opponent.
Frederic Friedel
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