IMO Shortlist 2016 problem C8


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3. listopada 2019.
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Let n be a positive integer. Determine the smallest positive integer k with the following property: it is possible to mark k cells on a 2n \times 2n board so that there exists a unique partition of the board into 1 \times 2 and 2 \times 1 dominoes, none of which contain two marked cells.

Izvor: https://www.imo-official.org/problems/IMO2016SL.pdf