Comments by PeterAronson
Whoops! I missed the part about check being ignored. I guess if, by selecting the order in which pieces are mated you mate the opposing King before yours is, you do win. Sorry about that!
What about this situation (white to move):
+---+---+---+---+---+---+---+---+
8 | |:::| |:::| |:::| |:::|
+---+---+---+---+---+---+---+---+
7 |:::| P |:::| |:::| |:::| |
+---+---+---+---+---+---+---+---+
6 | |:::| |:::| |:::| |:::|
+---+---+---+---+---+---+---+---+
5 |:::| |:::| |:::| |:::| |
+---+---+---+---+---+---+---+---+
4 | |:::| |:::| |:::| |:::|
+---+---+---+---+---+---+---+---+
3 |:::| |:::| |:::| |:::| |
+---+---+---+---+---+---+---+---+
2 | |:::| |:::| |:::| |:::|
+---+---+---+---+---+---+---+---+
1 |:n:| |:::| |:N:| |:::| |
+---+---+---+---+---+---+---+---+
a b c d e f g h
If white b8=Q or b8=R, then stalemate. If b8=B, then I believe there is insufficient material for mate -- thus b8=K. I'm fairly sure that K+N can mate bare N. If not, add a B at g1. Two B on the same color + N vs N is still not promising, but K+B+N vs N is surely enough!
Hmm. A Problem with my previous post -- White could move their Knight, then on the following move promote the Pawn to Queen.
However, this situation ought to do it.
+---+---+---+---+---+---+---+---+
8 | |:::| |:::| |:::| |:::|
+---+---+---+---+---+---+---+---+
7 |:::| P |:::| |:::| |:::| |
+---+---+---+---+---+---+---+---+
6 | |:::| |:::| |:::| |:::|
+---+---+---+---+---+---+---+---+
5 |:n:| |:::| |:N:| |:::| |
+---+---+---+---+---+---+---+---+
4 | |:::| |:::| |:::| |:::|
+---+---+---+---+---+---+---+---+
3 |:::| |:::| |:::| |:::| |
+---+---+---+---+---+---+---+---+
2 | |:::| |:::| |:::| |:::|
+---+---+---+---+---+---+---+---+
1 |:::| |:::| |:::| |:::| |
+---+---+---+---+---+---+---+---+
a b c d e f g h
Since white better promote the Pawn or black will take it.
According to the Encyclopedia of Chess Variants, in Knightmate a K can mate a N unaided, so my solution to your challenge stands.
Valid point. However, this version of the problem, with white to move:
+---+---+---+---+---+---+---+---+
8 | |:::| |:::| |:::| |:::|
+---+---+---+---+---+---+---+---+
7 |:::| P |:::| |:::| |:::| |
+---+---+---+---+---+---+---+---+
6 | |:::| |:::| |:::| |:::|
+---+---+---+---+---+---+---+---+
5 |:n:| |:::| |:N:| |:::| |
+---+---+---+---+---+---+---+---+
4 | |:::| |:::| |:::| |:::|
+---+---+---+---+---+---+---+---+
3 |:B:| |:::| |:::| |:::| |
+---+---+---+---+---+---+---+---+
2 | |:::| |:::| |:::| |:::|
+---+---+---+---+---+---+---+---+
1 |:::| |:::| |:::| |:::| |
+---+---+---+---+---+---+---+---+
a b c d e f g h
Should do it. After b8=K, black Nb3 is forced. After white Kb7, the black N is pretty well trapped.
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