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1 problem(s) found in 2250 milliseconds (displaying 1 problem(s)). [PROBID='P1298977'] [download as LaTeX]

1 - P1298977
Henrik Juel
Guus Rol

R044v Probleemblad 05/1999
4. ehrende Erwähnung
P1298977
(11+0)
Ergänze 1 K und 10 SS zu einem legalen #1!
1. hxg8=S#
play all play one stop play next play all
The locations of 2 knights are determined by retro-considerations. The remainder are uniquely located to permit mate.

All Black pawns promoted. 5 pawn captures are allowable for each side, but White pawns captured an even number of times so could only use 4.
- Black c & f pawns required 1 capture each to promote.
- If White d & e pawns did not cross-capture, then Black d & e pawns captured 3 times. If White d & e pawns did cross-capture, then still Black d & e pawns need 1 pawn capture.
- If White a & b pawns did not cross-capture, then Black a & b pawns needed at least 2 captures. If White a & b pawns did cross-capture, then Black a & b pawns did not need to capture.
- Similarly for g & h files.
This adds up to a total of 9 captures, with any 2 pairs of White pawns cross-capturing.

- If White a & b pawns cross-captured, then [BaP] must have gone to a3 or a4, then [BbP] promotes on b1, then [WaP] captures on b3, and then [BaP] promotes on a1.
- If on the other hand White a & b pawns did not cross-capture, then [WbP] must have gone to b3, [BaP] captures on b2 and promotes on b1, then [WaP] moves to a4 or a5, and [BbP] captures below the white a pawn and promotes on a1.

In either case, BNa1 cannot move because WPb3 is already in place. The same reasoning on the kingside implies that there is BNh1.
Version of P0009134.
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comment
Keywords: Add pieces, Illegal position
Genre: Retro
FEN: 8/7P/8/P7/6K1/1P1PP1P1/2P2P2/2NN4
Input: A.Buchanan, 2015-03-10
Last update: A.Buchanan, 2020-08-03 more...
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A.Buchanan (1)