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MathNet 2010 — Part 06 Question 143

Math Olympiad Vault · MathNet 2010 — Part 06

Question 143

Cube with side length $11$ is partitioned into unit cubes. The external slice of cubes is colored with yellow, the next slice (all cubes that share a vertex with the external slice) is colored with blue. Slice of cubes that touches the previous slice is colored with yellow and so on. Find the number of yellow and blue cubes.