Difference between revisions of "2023 APMO Problems/Problem 1"
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Latest revision as of 21:49, 19 August 2023
Problem
Let 
be an integer. Consider 
squares with side lengths 
,
respectively. The squares are arranged in the plane with their sides parallel to the 
and
axes. Suppose that no two squares touch, except possibly at their vertices.
Show that it is possible to arrange these squares in a way such that every square touches
exactly two other squares.
