New answers tagged

0 votes

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 ...
user avatar
  • 175
1 vote

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 ...
user avatar
0 votes

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!)
user avatar
2 votes

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....
user avatar
3 votes

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 ...
user avatar
  • 21.2k
1 vote

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 ...
user avatar

Top 50 recent answers are included