1999 IMO Problems/Problem 3: Difference between revisions
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Revision as of 19:39, 6 October 2023
Problem
Consider an
square board, where
is a fixed even positive integer. The board is divided into
units squares. We say that two different squares on the board are adjacent if they have a common side.
unit squares on the board are marked in such a way that every square (marked or unmarked) on the board is adjacent to at least one marked square.
Determine the smallest possible value of
.
Solution
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