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Subject: illegal positions in nalimov tablebases

Author: Uri Blass

Date: 00:41:01 02/04/05


I find that there are some illegal positions in nalimov tablebases like the
following position because there is no possible last move of white.

[D]3K4/8/8/3R4/3kR3/8/8/8 b - - 0 1

Note that the following position is legal(last move of white could be under
promotion to a rook)
[D]kR1K4/8/R7/8/8/8/8/8 b - - 0 1

I wonder if somebody cared to count the number of legal positions with 6 or less
pieces.

A position with 4 pieces is illegal if it cannot be reached from position that
is not obviously illegal of 5 piece or less pieces so it is possible to count
the number of 4 piece positions that can be reached from positions of 5 or 4
pieces.

I am not sure if all of them are legal but I cannot think about an example when
a position with 4 pieces is illegal and can be reached from illegal 5 piece
position.

note that it is different with 5 piece position and 6 piece position and here is
an example.

[D]6k1/8/8/8/8/8/3P1P2/4B1K1 w - - 0 1

illegal

can be reached from
[D]6R1/5k2/8/8/8/8/3P1P2/4B1K1 b - - 0 1
also illegal.

Uri



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