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Omni-MATH / Draw a 2004×2004 array of points. What is the largest integer n for which it is possible to draw a convex n-gon whose vertices are chosen from the points in the array?

Problem

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problem

Draw a

2004 \times 2004

array of points. What is the largest integer

n

for which it is possible to draw a convex

n

-gon whose vertices are chosen from the points in the array?

Plain-text mathematical notation (without MathML)

Draw a 2004×2004 array of points. What is the largest integer n for which it is possible to draw a convex n-gon whose vertices are chosen from the points in the array?

Original LaTeX notation

Draw a $2004 \times 2004$ array of points. What is the largest integer $n$ for which it is possible to draw a convex $n$-gon whose vertices are chosen from the points in the array?

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task_id: a8e2ab14-abd0-51a6-8729-7378afff6028
task_key: test--a8e2ab14-abd0-51a6-8729-7378afff6028
task_revision_id: 4
config / split: / test

Official source

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