Compose a chess position in which both sides consecutively have exactly one legal move, for a long series of moves. The end position does not need to be anything special, just maximize the length of the sequence. For artistic effect, also try to maximize the number of different pieces which move, not just (say) a pawn that moves forward in an otherwise locked position.
Inspired by a joke chess problem that anyone should be able to solve.
Slightly loosen the restriction: more than one legal move may be possible in each position of the sequence, but all but one move is losing, where losing is defined as providing the opponent with a mate in 1.
Loosen the restriction further to mate in N. This begins to resemble many traditional chess problems.
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