Difference between revisions of "2020 USAMO Problems/Problem 5"
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Revision as of 09:15, 31 July 2023
Problem
A finite set of points in the coordinate plane is called overdetermined if and there exists a nonzero polynomial , with real coefficients and of degree at most , satisfying for every point .
For each integer , find the largest integer (in terms of ) such that there exists a set of distinct points that is not overdetermined, but has overdetermined subsets.
Solution
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2020 USAMO (Problems • Resources) | ||
Preceded by Problem 4 |
Followed by Problem 6 | |
1 • 2 • 3 • 4 • 5 • 6 | ||
All USAMO Problems and Solutions |
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