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Omni-MATH / An arrangement of chips in the squares of n×n table is called [i]sparse[/i] if every 2×2 square contains at most 3 chips. Serge put chips in some squares of the table (one in a squ…

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An arrangement of chips in the squares of n×n n\times n table is called [i]sparse[/i] if every 2×2 2\times 2 square contains at most 3 chips. Serge put chips in some squares of the table (one in a square) and obtained a sparse arrangement. He noted however that if any chip is moved to any free square then the arrangement is no more sparce. For what n n is this possible? [i]
Plain-text mathematical notation (without MathML)
An arrangement of chips in the squares of n×n table is called [i]sparse[/i] if every 2×2 square contains at most 3 chips. Serge put chips in some squares of the table (one in a square) and obtained a sparse arrangement. He noted however that if any chip is moved to any free square then the arrangement is no more sparce. For what n is this possible?

[i]
Original LaTeX notation
An arrangement of chips in the squares of $ n\times n$ table is called [i]sparse[/i] if every $ 2\times 2$ square contains at most 3 chips. Serge put chips in some squares of the table (one in a square) and obtained a sparse arrangement. He noted however that if any chip is moved to any free square then the arrangement is no more sparce. For what $ n$ is this possible?

[i]

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Source and history

task_id
4e221b89-a847-5e8d-9bf9-e7740a6f7de7
task_key
test--4e221b89-a847-5e8d-9bf9-e7740a6f7de7
task_revision_id
1
config / split
/ test

Official source

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