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Omni-MATH / Let n be a positive integer. Determine the size of the largest subset of {−n,−n+1,…,n−1,n} which does not contain three elements a, b, c (not necessarily distinct) satisfying …

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problem

Let nn be a positive integer. Determine the size of the largest subset of {−n,−n+1,…,n−1,n}\{ -n, -n+1, \dots, n-1, n\} which does not contain three elements aa, bb, cc (not necessarily distinct) satisfying a+b+c=0a+b+c=0.
Plain-text mathematical notation (without MathML)
Let n be a positive integer.  Determine the size of the largest subset of {−n,−n+1,…,n−1,n} which does not contain three elements a, b, c (not necessarily distinct) satisfying a+b+c=0.
Original LaTeX notation
Let $n$ be a positive integer.  Determine the size of the largest subset of $\{ -n, -n+1, \dots, n-1, n\}$ which does not contain three elements $a$, $b$, $c$ (not necessarily distinct) satisfying $a+b+c=0$.

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Source and history

task_id
896a4259-9592-5c42-a7c0-1276ead9e8dc
task_key
test--896a4259-9592-5c42-a7c0-1276ead9e8dc
task_revision_id
1
config / split
/ test

Official source

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