New answers tagged checkmate
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Number of checkmate positions
It depends a bit on what you mean by 'checkmate position'. One meaning could be that such positions are defined by active pieces only: in this case a back-row mate with two rooks would count only the ...
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Number of checkmate positions
Since there are 10^umpty possible chess positions (an obvious upper bound is 13^64, and estimates are 10^45+-5), even a supercomputer is useless.
The following "Monte Carlo" attempt is a ...
- 9,896
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Most different mate-in-N depending on black's move
(delete - whereas it's a mate in 1 to N, it is a consecutive one, not a split on Black's 1st move! Sorry!)
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Most different mate-in-N depending on black's move
A N=4 demo (board from Black view), not necessarily the stuff that you wanted, depending on your demands.
[FEN "8/6B1/8/8/B2Rp3/8/3p1n1n/K1k5 b - - 0 1"]
If Black plays...
~: 1.Rc4#
d1B: 1....
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Why does Stockfish miss mate in 5 with only two legal moves?
There is no mate in 4. Black's best move is 1...e1=Q, after which White goes 2. Bg2+ Kb8 3. a7+ Kc8 4. a8=Q+ with a decisive advantage, but no immediate checkmate. M14 is correct, White takes several ...
- 21.2k
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When checkmate is impossible in a position
Update on the comment by usul.
The algorithm is now described here:
https://chasolver.org/FUN22-full.pdf
It combines a search of variations with a dedicated mechanism for identifying blocked positions ...
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