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DE-BUNDESWETTBEWERB 2011 Problem 2

  • Round 1

1616 children are sitting at a round table. After the break, they sit down again on table. They find that each child is either sitting on its original [lace or in one of the two neighboring places. How many seating arrangements are possible in this way after the break?

Dataset text AI-MO AoPS. Quoted with source.

Official text: Bundeswettbewerb Mathematik 2011 official paper, page 1.

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