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  • $\begingroup$ Similar to my own solution! Do you believe it's possible to achieve $n=3$ with a position involving castles from both players? $\endgroup$
    – Elliot Glazer
    Commented Feb 12 at 21:11
  • 1
    $\begingroup$ Ah yes, the discovered check from a paralysed piece does it! I was having a really hard time getting back to the repeated position with a legal game, while not adding an extra move option for white. $\endgroup$
    – Bass
    Commented Feb 12 at 21:58
  • $\begingroup$ I don't think you need to paralyse the knight by the way; it's white's hurry to create a non-irrevocable move for black that makes the position work in the first place, so the pawns at d7 and e6 aren't really necessary. $\endgroup$
    – Bass
    Commented Feb 12 at 22:09
  • 1
    $\begingroup$ @Bass If the knight moves, then the black king is no longer trapped. $\endgroup$
    – Elliot Glazer
    Commented Feb 12 at 22:38
  • $\begingroup$ @ElliotGlazer Re n=3 I really have no idea. It might be but I don't see an obvious strategy. $\endgroup$
    – loopy walt
    Commented Feb 12 at 22:43