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Results tagged with problems
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Chess problems consist of a board position and a task. Most ask for a line of play that mates black in a set amount of moves, or a combination that results in a winning position. Many other types exist, including, but not limited to, construction tasks for various positions and proof games that have numerous goals, selfmates, helpmates, and retrograde analysis. Tournaments and championships exist for composing of original problems and for speed-solving.
9
votes
Accepted
Threefold repetition: what's the minimum number of pieces and/or material points required?
4 pieces is the minimum, and is attained by this position though Black has the option of trading Q for N to a bare-king draw:
[Title "Draw by perpetual check or insufficient material"]
[FEN "8/8/8/8/8 …
- 8,314
31
votes
Accepted
Zugzwang where the side to move must be mated in exactly 2 moves
As Laska suggested, I was able to find it
in my 2001 files of correspondence with Richard Stanley:
[Title "Whoever moves must get mated in 2 moves (NDE 2001)"]
[FEN "BKQQ4/pPPP4/rbkp4/qrbp4/bp1p4/1p1P …
- 8,314
27
votes
Can a unique position be deduced if pieces are replaced by checkers (can see piece color but...
Maximum:
[FEN "PppppppP/pppppppp/8/8/8/8/PPPPPPPP/pPPPPPPp w KQkq - 0 1"]
The board must be right side up because the armies cannot switch sides
without some capturing.
Given this, all the pawns must …
- 8,314
7
votes
Accepted
Is Behting Study Still Beating Computers?
For the record, the soundness of the Behting study has been under a cloud for some time because it is not easy to refute 1 Ng7+ Kg5 2 Nf3+ Kg4 3 Kf5 h3 4 Ke4 g1Q 5 Nxh6+ Kh5 6 Nxg1 h2 7 Nf3 h1Q 8 Nf5 …
- 16.7k
11
votes
Most mate options after 6 moves
11 without discovered checks:
[FEN ""]
[startply "12"]
1. e3 e6 2. d4 Ke7 3. Bc4 Kf6 4. Nh3 Kf5 5. Bxe6+ Ke4 6. Qh5 Qe8
- 8,314
8
votes
Most mate options after 6 moves
5.5 moves to 14 fool's mates:
[FEN ""]
[startply "11"]
1. b4 e6 2. Bb2 Qh4 3. Bxg7 Ne7 4. Bb2 Rg8 5. g3 Rxg3 6. f4
For 6.0 moves, start with something like 1. a3 and then reverse the colors
(1. a3 b …
- 8,314
3
votes
Seeking a particular problem
As it happens, in this Amelung problem (unlike the more recent
Keller and Benkő problems suggested by Rewan Demontay) Black's g5
is not a blunder: any other move would also allow the same Rxh7 mate
in …
- 8,314
3
votes
Max percentage of mating pieces
It's easy to get 16/17 = 94.1%
[FEN "4B3/4Q3/3QQQ2/1N2B2N/4k3/1Q5Q/3PKP2/2R1Q1R1 w - - 0 1"]
On further thought that's not legal for lack of a previous Black move.
This should be fixable, but meanwhi …
- 8,314
5
votes
Move forcing opponent to checkmate in response
See item #334 in Krabbé's Chess Diary https://timkr.home.xs4all.nl/chess2/diary17txt.htm for candidates for "the worst move possible", in the sense that you have many moves, all of which are mate in 1 …
- 3,370
11
votes
Accepted
Position where neither player can force an *exact* outcome
Such a position must be a draw with best play.
Here's one where either player can make a winning threat
that can only be parried by giving checkmate:
[Title "Neither player can force an exact outcome" …
- 8,314
1
vote
Accepted
Maximum futile material (in illegal position) neither winning nor forcing stalemate
If I count right we actually do a bit better than Hauke Reddmann's
construction by giving White a pawn and the initiative:
[FEN "kqqqqqqq/Pqqqqqqq/qqqqqqqq/qqqqqqqq/qqqqqqqq/qqqqqqqq/qqqqqqrb/qqqqqqbK …
- 8,314
6
votes
Why do chess puzzles need a unique solution?
There are chess problems that deliberately have more than one solution,
often to complement each other in some way. … This usually happens in helpmates
(which are probably of little or no interest to players seeking "training")
but they're occasionally seen also in direct-mate problems. …
- 8,314
5
votes
Fastest algorithm to give mate with K+R vs K on infinite large board as function of starting...
It is known that White can force mate from any starting position of
K+R vs. K on a quarter-infinite board. It's probably too hard a problem
to ask for an exact optimal strategy, but it's not too hard …
- 8,314
1
vote
Which legal position has the smallest number of moves in a "forced loop"?
This is an even lighter position that's sure to eventually produce a triple repetition if the 50- or 75-move rule doesn't end the game sooner:
[FEN "4k3/8/8/1p2p2p/1P2P2P/8/8/4K3 w - - 0 1"]
one can …
- 8,314
3
votes
A special "dead" position
Example showing why the checking condition is needed to make this an interesting puzzle:
[FEN "k7/Pp4p1/1P6/8/8/6p1/1P4Pp/7K w KQkq - 0 1"]
Whoever moves, the game soon ends in stalemate,
and either …
- 8,314