Die Schwalbe

2 problem(s) found in 8623 milliseconds (displaying 2 problem(s)). [COMMENTDATE>=20200919 AND NOT K='Hilfsrückzüger' AND S='Phenix' AND K='Einfärbeproblem'] [download as LaTeX]

1 - P0002758
Andrej N. Kornilow
1078 Phénix 15-16 12/1991
P0002758
(25+0)
Färbe die Steine! Welches waren die letzten 9 Einzelzüge?
James Malcom: Solution? (2020-11-07)
Mario Richter: I do not know the official solution, but the following works:
wBb7 wBf7 wBb6 wBg6 wBc5 wTf5 wLf4 wBg4 wBe3 wKg3 wTh3 wDf2 wBh2 wSf1 wSh1
sLg8 sDh8 sBa7 sBc7 sBh7 sBe6 sBf6 sKh6 sBe5 sLg1
wCaps: h5xg6ep f3xTg4 g4xTh5 e6xSf7 d5xSe6 a4xBb5
sCaps: d7xLe6
R: 1. h5xg6ep g7-g5 2. Tg5-f5 d7xLe6 3. f3xTg4 Th4-g4 4. g4xTh5 Kg6-h6 5. Tf5-g5 (2020-11-10)
comment
Keywords: Colouring problem, Last Moves? (9), En passant
Genre: Retro
FEN: 6BQ/PPP2P1P/1P2PPPK/2P1PR2/5BP1/4P1KR/5Q1P/5NBN
Reprints: (34) Die Schwalbe 144 12/1993
Input: Gerd Wilts, 1995-06-03
2 - P1394799
Alain Brobecker
JM1 Phénix 223 12/2012
Mémorial Jean-Michel Trillon
2nd honorable mention
P1394799
(24+0)
Colour the pieces.
Bichromatic chess.
(The start and end squares of every move must be of different colours)
b) R: 1. d7-d8=S# c2-c1=L
play all play one stop play next play all
Some notes on Bichromatic chess: Bishops cannot move. Castlings are forbidden. Queens are Rooks with
a different shape (!?). Pawns cannot capture neither make double steps, thus they cannot change column
and there is at most one promotion per file (and both Pawns must be absent).
Nd8 attacks both K and has no square to come from, so thge last move is n.d7-d8=N+, thus WNd8.
The Ps have the natural colour, ie WPa4, WPb2, WPe2, WPf2, WPg2, WPh4 and BPa6, BPb6, BPe6,
BPf7, BPg7, BPh7. We can deduce BBf8 since there was no promotion on this column. But then the
BRh8 was not able to go out and has been captured in its homecage.
Moreover, if there was a promotion on the c-file it’s a promotion to B since there is at most one promotion
per file and the extremities are occupied by Bs. Thus there as been no promotion to R (or Q) during
the game, so there remains 1 BR and 2 WRs, and we can deduce the colours of the Ks and of the pieces
touching them: BRb8, BKb7, BQa7, WKc6, WRd6, WRc5, WNe7. We deduce also WQa8.
If WBc8 then it has been promoted, then WBc1 (one promotion per file) but then black is retro-stalemate
before n.d7-d8=N#. Thus our hypothesis is wrong and we have BBc8.
If WBc1 then black is retro-stalemate before n.d7-d8=N+, so we have BBc1 and the last black move is
n-1... c2-c1=B.
(This was the small idea of this problem, a light trap with a promoted Bishop).
Henrik Juel: The only problem with these two keywords in the PDB, so far
Interesting problem (2021-10-22)
A.Buchanan: Very fun. How about home-and-away-base? I can find a position where the "orthodox" homebase colouring doesn't work, but I can't make the solution quite unique. (2021-10-23)
A.Buchanan: Alain do you have further publication details please? (2021-10-23)
Mario Richter: Alain will surely know better, but according to my archives the wanted details are:
2° Mention d’Honneur : Alain BROBECKER (JM1, Phénix 223 décembre 2012)

The problem is not difficult, but it nicely shows the subtleties of the "Bichromatic chess" condition. Besides the "light trap with a promoted Bishop" there's also a second trap: wKb7, black rooks d6 and c5, which fails only because bRh8 "has been captured in its homecage" (a fact that can be easily overlooked.) (2021-10-23)
A.Buchanan: This problem was featured in yesterday's Monthly International Zoom Call, and was a great success, with both traps being fallen into :) (2021-10-24)
A.Buchanan: In a colouring problem, non-standard material would equate to 3+ queens or bishops on a certain colour square, or 5+ rooks or knights (2021-10-24)
comment
Keywords: Colouring problem, Bichrome Chess, Promotion (Sl), Last Moves? (2)
Genre: Retro, Fairies
FEN: QRBN1B2/QK2NPPP/PPKRP3/2R5/P7/8/1P2PPPP/2B5
Input: Alain Brobecker, 2021-10-22
Last update: Alain Brobecker, 2021-12-24 more...
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The problems of this query have been registered by the following contributors:

Gerd Wilts (1)
Alain Brobecker (1)