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Is there a name for puzzles where the goal is to avoid being checkmated in x moves? An example is this puzzle:

[Title "White to play and avoid being mated on or before move 4 (there is a unique solution)"]
[FEN "8/3r3K/8/7k/8/8/8/8 w - - 0 1"]

1. Kg8 Kg5 2. Kf8 Kf6 3. Kg8 Ra7 4. Kh8
4
  • 1
    I bet there are already chess problems with the stipulation "White to draw" and a retro twist (there are already 50-x moves played, so White merely has to survive x moves, as in your idea). Otherwise, this seems totally original to me. Commented Jul 18 at 7:44
  • 3
    Usually this would be (with colors revered) the refutation of a try in a direct mate problem. Commented Jul 18 at 12:21
  • Why not 3. Ke8? Commented Jul 19 at 23:03
  • 3 Ke8? Rd6(d5,d4,etc.) 4 Kf8 Rd8#. Commented Jul 19 at 23:40

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