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Omni-MATH / We colored the n² unit squares of an n×n square lattice such that in each 2×2 square, at least two of the four unit squares have the same color. What is the largest number of color…

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problem

We colored the n2n^2 unit squares of an n×nn\times n square lattice such that in each 2×22\times 2 square, at least two of the four unit squares have the same color. What is the largest number of colors we could have used?
Plain-text mathematical notation (without MathML)
We colored the n² unit squares of an n×n square lattice such that in each 2×2 square, at least two of the four unit squares have the same color. What is the largest number of colors we could have used?
Original LaTeX notation
We colored the $n^2$ unit squares of an $n\times n$ square lattice such that in each $2\times 2$ square, at least two of the four unit squares have the same color. What is the largest number of colors we could have used?

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Source and history

task_id
db8e19c8-d5a0-5b97-9e4f-d0b2eebc323d
task_key
test--db8e19c8-d5a0-5b97-9e4f-d0b2eebc323d
task_revision_id
1
config / split
/ test

Official source

initial import