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MathNet 2010 — Part 06 Question 139

Math Olympiad Vault · MathNet 2010 — Part 06

Question 139

A rectangle with the lengths of sides $2010$ and $11$ is partitioned into unit squares. The external slice of squares is colored with yellow, the next slice (all squares that share a vertex with external slice) are colored with blue. A slice of squares that touches the previous slice is colored with yellow and so on. Find the number of yellow and blue squares.