BALTIC-WAY 2008 Problem 15

Answer

Some $1 \times 2$ dominoes, each covering two adjacent unit squares, are placed on a board of size $n \times n$ so that no two of them touch (not even at a corner). Given that the total area covered by the dominoes is 2008 , find the least possible value of $n$ .

Dataset text NuminaMath olympiads. Quoted with source.

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