pawn allowed on 8th rank:
- N. (orthodox chess: promotion forced)
- Y.
- pawn is allowed to move to 8th rank and remain a pawn:
- N. (the only way a pawn can be on 8th rank is that it must have started there, so this can only happen in compositions. this is a chess variant in only the slightest sense.)
- Y.
- pawn on 8th (could have started there, or moved there) is allowed to promote in a later turn:
- N. (moving a pawn to the 8th rank but voluntarily keeping it a completely useless pawn is therefore the ultimate underpromotion. challenge: compose, probably stalemate.)
- Y. (delayed promotion)
- pawn is allowed to move to 8th rank and remain a pawn:
5 possibilities. note that 1 and 2 are orthogonal (Cartesian product). 2 of the possibilities (Y1N2N and Y1N2Y) are relevant only for compositions. Y1Y2N is the composition challenge.
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