optimization - Move chess pieces to flip starting position in center - Puzzling Stack Exchange

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The white pieces in the above position should maneuver themselves into the flipped starting position (i.e. king in e3). All pieces makes regular moves within the 4x4 center squares. By removing a p
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optimization - Move chess pieces to flip starting position in center -  Puzzling Stack Exchange
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optimization - Move chess pieces to flip starting position in center -  Puzzling Stack Exchange
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optimization - Move chess pieces to flip starting position in center -  Puzzling Stack Exchange
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optimization - Move chess pieces to flip starting position in center -  Puzzling Stack Exchange
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optimization - Move chess pieces to flip starting position in center -  Puzzling Stack Exchange
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optimization - Move chess pieces to flip starting position in center -  Puzzling Stack Exchange
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optimization - Move chess pieces to flip starting position in center -  Puzzling Stack Exchange
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optimization - Move chess pieces to flip starting position in center -  Puzzling Stack Exchange
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optimization - Move chess pieces to flip starting position in center -  Puzzling Stack Exchange
optimization - Move chess pieces to flip starting position in center - Puzzling Stack Exchange
optimization - Move chess pieces to flip starting position in center -  Puzzling Stack Exchange
Given a layout of chess pieces like in a tactics puzzle, how can one reconstruct from the beginning at least one possible sequence of legal moves which would result in that configuration?
optimization - Move chess pieces to flip starting position in center -  Puzzling Stack Exchange
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