Go back
Is this a mate? Retrograde chess problem.

Is this a mate? Retrograde chess problem.

Posers and Puzzles

S

Joined
16 Sep 11
Moves
39
Clock
05 Mar 12
Vote Up
Vote Down


Is this a mate?

S
Caninus Interruptus

2014.05.01

Joined
11 Apr 07
Moves
92274
Clock
05 Mar 12
Vote Up
Vote Down

Originally posted by Stalker56
[fen]2b3K1/1Bp1R2B/p2P2Rp/1N3q1B/4k3/3r1r1N/B7/1BBQ1BBB w[/fen]
Is this a mate?
Probably - the last move could have been En Passant. The real question is, is the position legal? That's a lot of promoted Bishops.

Do you compose these yourself or get them from other sources?

S

Joined
16 Sep 11
Moves
39
Clock
05 Mar 12
Vote Up
Vote Down

I got this position from one Russian chess magazine.

JY

Joined
21 Jan 12
Moves
16991
Clock
07 Mar 12
Vote Up
Vote Down

I guess it is.

iamatiger

Joined
26 Apr 03
Moves
26771
Clock
07 Mar 12
2 edits
Vote Up
Vote Down

Originally posted by Stalker56
[fen]2b3K1/1Bp1R2B/p2P2Rp/1N3q1B/4k3/3r1r1N/B7/1BBQ1BBB w[/fen]
Is this a mate?
The question is, is the position, and white's last move, legal?

It looks like the last move by white must have been e5xd5(en passant), which means, one move before, black's d pawn would have been on d7.

White has 7 white bishops, 2 black bishops and one pawn left, so all white's 7 other pawns must have been promoted to bishops, with 6 promoting on white squares and one promoting on a black square.

To promote:
White's a pawn would make 1 capture, and promote on black.
Whites b pawn would need no captures, and would promote on black
White's c pawn would make 1 capture, and promote on black
White'd d pawn would make 1 capture, and promote on white
Whites e pawn is still on the board.
White's f pawn would need no captures and would promote on black
White's g pawn would make no captures and would promote on white
And white's h pawn would make 1 capture, and would promote on white.

So that is 4 captures, except we have promoted on 4 black squares and 3 white squares.

We need another 3 captures to convert 3 black square promotions into white square promotions, so white's pawns must make at least 7 captures.

It looks like those captures might be hard for white to manage because quite a lot of them need to be captures of pieces rather than pawns, at this point though, I got stuck, because I couldn't rule out blacks's pawns promoting first and being captured after.

JS357

Joined
29 Dec 08
Moves
6788
Clock
07 Mar 12
Vote Up
Vote Down

Originally posted by Stalker56
[fen]2b3K1/1Bp1R2B/p2P2Rp/1N3q1B/4k3/3r1r1N/B7/1BBQ1BBB w[/fen]
Is this a mate?
The general conjecture is:

The legality of any arrangement of chess pieces and pawns on the board can be determined.

Cookies help us deliver our Services. By using our Services or clicking I agree, you agree to our use of cookies. Learn More.