MathDB

6.

Part of 2023 Polish Junior Math Olympiad First Round

Problems(1)

2023 Polish Junior Math Olympiad Round 1 P6

Source:

5/21/2023
We call the figure shown in the picture consisting of five unit squares a \emph{plus}, and each rectangle consisting of two such squares a \emph{minus}. Does there exist an odd integer nn with the property that a square with side length nn can be dissected into pluses and minuses? Justify your answer.
https://wiki-images.artofproblemsolving.com//6/6a/18-1-6.png
combinatorics